File size: 332,749 Bytes
85970a6 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 | [
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX061",
"system_prompt": "",
"prompt": "Please list the math section of this image in the following format and swap the scores of deepseek-V3 and GPT-4o. Do not include any content other than this:\n\nModel name: Score\nModel name: Score\nModel name: Score\n...",
"image_list": [
"Chart_Modification/CMDFLX061-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nGrok-3: 52\nGrok-3 mini: 40\nGemini-2 Pro: 36\nGPT-4o: 39\nClaude 3.5 Sonnet: 16\nDeepSeek-V3: 9\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX062",
"system_prompt": "",
"prompt": "Extract the corresponding data of the blue bars from Store 1 to Store 5 in the following format, and exchange the maximum and minimum values of the blue bar data without including any additional content\nStore 1: xx\nStore 2: xx\n...",
"image_list": [
"Chart_Modification/CMDFLX062-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nStore 1: 25\nStore 2: 32\nStore 3: 1\nStore 4: 30\nStore 5: 37\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX063",
"system_prompt": "",
"prompt": "List the number of people in each score range according to the following format, and for score ranges above 60 points, list them in descending order of the number of people while maintaining the original order of score ranges. Do not include any additional content.\n\n<30: xx people\n30-39: xx people\n40-49: xx people\n...",
"image_list": [
"Chart_Modification/CMDFLX063-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\n<30: 1 person\n30-39: 0 people\n40-49: 1 person\n50-59: 4 people\n60-69: 23 people\n70-79: 20 people\n80-89: 19 people\n90-100: 9 people\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX064",
"system_prompt": "",
"prompt": "List the travel styles from the image in descending order of their percentages, keeping only one decimal place. The listed data should follow this format:\nShopping—xx%\nSightseeing—xx%\n...",
"image_list": [
"Chart_Modification/CMDFLX064-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nEntertainment and leisure — 34.2%\nEating local specialties — 29.9%\nSightseeing — 27.5%\nShopping — 8.5%\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX065",
"system_prompt": "",
"prompt": "Please list the people in this image with sales of 100 or more, in descending order, using the following format:\nName: Sales\nName: Sales\n...",
"image_list": [
"Chart_Modification/CMDFLX065-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nWang Yuyan: 350\nOuyang Ke: 260\nLi Mochou: 100\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX066",
"system_prompt": "",
"prompt": "List the sum of the three data points for A, B, and C from the quarterly data table in descending order, using the following format:\n\nA: Total xx\nB: Total xx\n...",
"image_list": [
"Chart_Modification/CMDFLX066-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nB: Total 30\nC: Total 28\nA: Total 20\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX068",
"system_prompt": "",
"prompt": "Exchange the number of master's degree applicants and admissions for 2023, and then only extract the number of master's degree applicants for each year and list them in the following format. Please note that there is no need to include any additional content, and units need to be added (Example of Number Representation: xx million people).\nYear: Number of applicants for master's degree programs\nYear: Number of applicants for master's degree programs\nYear: Number of applicants for master's degree programs\n...",
"image_list": [
"Chart_Modification/CMDFLX068-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\n2012: 1.66 million people\n2013: 1.76 million people\n2014: 1.72 million people\n2015: 1.65 million people\n2016: 1.77 million people\n2017: 2.01 million people\n2018: 2.38 million people\n2019: 2.90 million people\n2020: 3.41 million people\n2021: 3.77 million people\n2022: 4.57 million people\n2023: 1.1484 million people\n2024: 4.38 million people\n2025: 3.88 million people\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX069",
"system_prompt": "",
"prompt": "Extract only the information for rankings 8 to 12 and swap the number of stores for rankings 9 and 10, then list them in the following format. Do not include any additional content.\nBrand: Number of stores\nBrand: Number of stores\nBrand: Number of stores\n...",
"image_list": [
"Chart_Modification/CMDFLX069-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nLuckin Coffee: 7480\nStarbucks: 6688\nGumind: 6706\nShuyi Tealicious: 6575\nHangzhou Xiaolongbao: 6434\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX070",
"system_prompt": "",
"prompt": "List the data in this image using the following format, and swap the data for the lowest and highest sales revenue. Note that no additional content should be included, and units should be added (example of amount representation: xx billion yuan).\nYear: Sales revenue\nYear: Sales revenue\nYear: Sales revenue\n...",
"image_list": [
"Chart_Modification/CMDFLX070-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\n2015: 858.8 billion yuan\n2016: 521.6 billion yuan\n2017: 603.6 billion yuan\n2018: 721.2 billion yuan\n2019: 395.0 billion yuan\n2020: 454.0 billion yuan\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX071",
"system_prompt": "",
"prompt": "List the 2022 data from this chart in the following format, and swap the data for January and March. Note that no additional content should be included, and the crude oil import volumes should be listed without units.\n\nJanuary: Crude oil import volume\nFebruary: Crude oil import volume\nMarch: Crude oil import volume\n...",
"image_list": [
"Chart_Modification/CMDFLX071-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nJanuary: 4271\nFebruary: 3634\nMarch: 4880\nApril: 4303\nMay: 4583\nJune: 3582\nJuly: 3733\nAugust: 4035\nSeptember: 4024\nOctober: 4314\nNovember: 4674\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX072",
"system_prompt": "",
"prompt": "Extract the sales targets and actual completion data for the four quarters from the image according to the following format, and replace the actual completion for the fourth quarter with the same actual completion data as the first quarter. Do not include any additional content.\n\nQ1: Sales target: xx million yuan; Actual completion: xx million yuan\nQ2: Sales target: xx million yuan; Actual completion: xx million yuan\nQ3: Sales target: xx million yuan; Actual completion: xx million yuan\nQ4: Sales target: xx million yuan; Actual completion: xx million yuan",
"image_list": [
"Chart_Modification/CMDFLX072-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nQ1: Sales target: 12.5 million yuan; Actual achievement: 13 million yuan\nQ2: Sales target: 14 million yuan; Actual achievement: 15.5 million yuan\nQ3: Sales target: 13 million yuan; Actual achievement: 22 million yuan\nQ4: Sales target: 8 million yuan; Actual achievement: 13 million yuan\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX074",
"system_prompt": "",
"prompt": "Extract the sales figures for products A, B, and C. Remove the months with the highest and lowest total sales. List the average sales for each of the three products (rounded to whole numbers) using the following format, without including any additional content:\n\nMonth\nA: xx; B: xx; C: xx\nAverage sales:\n\nMonth\nA: xx; B: xx; C: xx\nAverage sales:\n\n...",
"image_list": [
"Chart_Modification/CMDFLX074-1.png"
],
"ground_truth": {
"answer": "## Correct answer is:\n\nMarch\nA: 320; B: 410; C: 520\nAverage sales: 416\nApril\nA: 390; B: 350; C: 460\nAverage sales: 400\n\n## Scoring criteria:\n- Student's answer synonymous with the correct answer gets 1 point.\n- Student's answer containing other content gets 0 points.\n- Student's answer not synonymous with the correct answer gets 0 points.\n- Please ignore image content and grade based only on the above content.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX075",
"system_prompt": "",
"prompt": "Extract the annual total production of products A, B, C, and D from the image according to the following format, and note which quarter had the highest sales volume after each product's annual production. Do not include any additional content:\n\nProduct A: Annual production is xx, highest sales quarter is xx\nProduct B: Annual production is xx, highest sales quarter is xx\nProduct C: Annual production is xx, highest sales quarter is xx\nProduct D: Annual production is xx, highest sales quarter is xx",
"image_list": [
"Chart_Modification/CMDFLX075-1.png"
],
"ground_truth": {
"answer": "The correct answer is:\n\nProduct A: Annual production is 592, with the highest sales in the 2nd quarter\nProduct B: Annual production is 555, with the highest sales in the 4th quarter\nProduct C: Annual production is 548, with the highest sales in the 2nd quarter\nProduct D: Annual production is 581, with the highest sales in the 1st quarter\n\nScoring criteria:\n- Students receive 1 point if their answer is synonymous with the correct answer.\n- Students receive 0 points if their answer includes other content.\n- Students receive 0 points if their answer is not synonymous with the correct answer.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX076",
"system_prompt": "",
"prompt": "Extract the products with the highest and lowest achievement rates from the image according to the following format, swap their achievement rates, and calculate how much each product needs to reach 100% achievement. Do not include any additional content.\n\nProduct name: xx%, short by xx%\nProduct name: xx%, short by xx%\n...",
"image_list": [
"Chart_Modification/CMDFLX076-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nAudio system: 95%, 5% short\nComputer: 18%, 82% short\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX077",
"system_prompt": "",
"prompt": "Please point out how much the sales volume of products with month-on-month decline decreased from January to February. Additionally, the data for Product B and Product D are reversed and need to be swapped. Extract the information in the following format, without including any additional content:\n\nProduct name: Decreased by xx from January to February\nProduct name: Decreased by xx from January to February\n...",
"image_list": [
"Chart_Modification/CMDFLX077-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nProduct B: decreased by 13 from January to February\nProduct C: decreased by 6 from January to February\nProduct D: decreased by 6 from January to February\n\n## Scoring criteria:\n- Student's answer that is synonymous with the correct answer gets 1 point.\n- Student's answer that includes other content gets 0 points.\n- Student's answer that is not synonymous with the correct answer gets 0 points.\n- Please ignore the image content and score based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX078",
"system_prompt": "",
"prompt": "Extract the difference between the highest and lowest monthly production for each quarter from the chart according to the following format, and compare this production difference with the median production data for the corresponding quarter. If the median production data is higher, mark it with 1; if it's lower, mark it with 2. Do not include any additional content.\n\nQ1: Production difference: xx Note:\nQ2: Production difference: xx Note:\nQ3: Production difference: xx Note:\nQ4: Production difference: xx Note:",
"image_list": [
"Chart_Modification/CMDFLX078-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nFirst quarter: Production difference: 200 Note: 1\nSecond quarter: Production difference: 120 Note: 1\nThird quarter: Production difference: 250 Note: 2\nFourth quarter: Production difference: 150 Note: 1\n\n## Scoring criteria:\n- Student's answer is synonymous with the correct answer: 1 point.\n- Student's answer contains other content: 0 points.\n- Student's answer is not synonymous with the correct answer: 0 points.\n- Please disregard image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX079",
"system_prompt": "",
"prompt": "Extract the data from the image showing sales targets achieved and indicate how much they exceeded the target. However, the data for Department 2 and Department 8 are reversed, so they need to be swapped first before extraction. Extract according to the following format, without including any additional content:\n\nDepartment 1: Achieved xx, exceeded target by xx\nDepartment 2: Achieved xx, exceeded target by xx\n...",
"image_list": [
"Chart_Modification/CMDFLX079-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nDepartment 5: Achieved 550, exceeded target by 130\nDepartment 8: Achieved 554, exceeded target by 183\n\n## Scoring criteria:\n- Student's answer synonymous with the correct answer scores 1 point.\n- Student's answer containing additional content scores 0 points.\n- Student's answer not synonymous with the correct answer scores 0 points.\n- Please disregard any image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX080",
"system_prompt": "",
"prompt": "Extract the data for each product across the four quarters from the image using the following format, and swap the data for phones in the third quarter with tablets in the second quarter. Do not include any additional content.\n\nProduct Q1 Q2 Q3 Q4\nTablet xx xx xx xx\nSmart TV xx xx xx xx\nPhone xx xx xx xx",
"image_list": [
"Chart_Modification/CMDFLX080-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nProduct Q1 Q2 Q3 Q4\nTablet 31 43 14 26\nSmart TV 14 23 22 32\nSmartphone 56 45 61 24\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX081",
"system_prompt": "",
"prompt": "Please list the information in this image using the following format, and swap the data for the lowest and highest grain production. Note that no additional content should be included, and units should be added (production example: xx million tons).\n\n2019: Grain production\n2020: Grain production\n2021: Grain production\n...",
"image_list": [
"Chart_Modification/CMDFLX081-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\n2019: 695.41 million tons\n2020: 669.49 million tons\n2021: 682.85 million tons\n2022: 686.53 million tons\n2023: 663.84 million tons\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based only on the information provided above.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX082",
"system_prompt": "",
"prompt": "Exchange the number of mainland residents entering and leaving the country in 2023 and the number of people traveling between Hong Kong, Macao, and Taiwan to and from the mainland in 2023, and then only extract the number of mainland residents entering and leaving the country in each year and list them in the following format. Note that there is no need to include any additional content and units need to be added (example of person count: xx billion).\n2019: Number of Mainland Residents Entering and Exiting China\n2023: Number of Mainland Residents Entering and Exiting the Country",
"image_list": [
"Chart_Modification/CMDFLX082-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\n2019: 350 million\n2023: 183 million\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX083",
"system_prompt": "",
"prompt": "Exchange the number of marriage registrations in the first half of 2021 and the first half of 2022, and then extract only the number of marriage registrations in the first half of each year and list them in the following format. Note that there is no need to include any additional content. The number of marriage registrations in the first half of the year should be rounded to one decimal place and the unit should be added (example of registration number: xx billion people).\n2014: Number of marriage registrations in the first half of the year\n2015: Number of marriage registrations in the first half of the year\n2016: Number of marriage registrations in the first half of the year\n...",
"image_list": [
"Chart_Modification/CMDFLX083-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\n2014: 69.40 billion people\n2015: 62.07 billion people\n2016: 60.43 billion people\n2017: 55.85 billion people\n2018: 53.97 billion people\n2019: 49.80 billion people\n2020: 38.79 billion people\n2021: 37.32 billion people\n2022: 41.66 billion people\n2023: 39.28 billion people\n2024: 34.30 billion people\n\n## Scoring criteria:\n- Student's answer is synonymous with the correct answer, score 1 point.\n- Student's answer contains other content, score 0 points.\n- Student's answer is not synonymous with the correct answer, score 0 points.\n- Please ignore image content and grade based only on the above content.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX084",
"system_prompt": "",
"prompt": "List the national divorce registration numbers from 2012 to 2016 in the following format, and exchange the national divorce registration numbers for 2014 and 2015. Note that no additional content needs to be included and units need to be added (example of number of people: xx million pairs).\n2012: Number of divorce registrations nationwide\n2013: Number of divorce registrations nationwide\n2014: Number of divorce registrations nationwide\n...",
"image_list": [
"Chart_Modification/CMDFLX084-1.png"
],
"ground_truth": {
"answer": "## Correct answer is:\n\n2012: 2.388 million couples\n2013: 2.78 million couples\n2014: 3.127 million couples\n2015: 2.925 million couples\n2016: 3.468 million couples\n\n## Scoring criteria:\n- Student's answer is synonymous with the correct answer: 1 point.\n- Student's answer contains other content: 0 points.\n- Student's answer is not synonymous with the correct answer: 0 points.\n- Please ignore the image content and grade based on the above information only.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX085",
"system_prompt": "",
"prompt": "Please list the information in this image according to the following format, and swap the sales figure of Proya with the lowest sales figure in the image. Note that no additional content should be included, and units should be added (sales figure example: xx billion yuan).\nBrand: Sales\nBrand: Sales\nBrand: Sales\n...",
"image_list": [
"Chart_Modification/CMDFLX085-1.png"
],
"ground_truth": {
"answer": "## Correct answer is:\n\nHou: 198 million yuan\nEstée Lauder: 180 million yuan\nSK-II: 110 million yuan\nProya: 63 million yuan\nL'Oréal: 91 million yuan\nRunbaiyan: 78 million yuan\nHelena Rubinstein: 76 million yuan\nOlay: 69 million yuan\nLancôme: 64 million yuan\nAmorepacific: 101 million yuan\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX086",
"system_prompt": "",
"prompt": "Please list the number of silver medals for countries with more than 15 gold medals according to the following format, from left to right and top to bottom based on the chart. Exchange the number of silver medals between the United States and China. Note: Only list the relevant content without adding units.\n\nCountry: Number of silver medals\nCountry: Number of silver medals\nCountry: Number of silver medals\n...",
"image_list": [
"Chart_Modification/CMDFLX086-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nUnited States: 27\nChina: 44\nJapan: 12\nAustralia: 19\nFrance: 26\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX087",
"system_prompt": "",
"prompt": "Please list the scores of Student 3 from the image in the following format, and swap the scores of Quiz 1 and Final Exam. Note, only list the relevant content without adding units.\nQuiz 1: score\nQuiz 2: score\nQuiz 3: score\n...",
"image_list": [
"Chart_Modification/CMDFLX087-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nQuiz 1: 90\nQuiz 2: 70\nQuiz 3: 90\nQuiz 4: 65\nFinal exam: 92\n\n## Scoring criteria:\n- Student's answer synonymous with the correct answer receives 1 point.\n- Student's answer containing additional content receives 0 points.\n- Student's answer not synonymous with the correct answer receives 0 points.\n- Please disregard image content and grade solely based on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX088",
"system_prompt": "",
"prompt": "Please list the cumulative precipitation for the last ten days of October 2024 for each city in the image using the following format, and swap the cumulative precipitation values for Chengmai and Ledong for the last ten days of October 2024. Note: Only list the relevant information without adding units.\n\nCity: Cumulative precipitation for the last ten days of October 2024\nCity: Cumulative precipitation for the last ten days of October 2024\nCity: Cumulative precipitation for the last ten days of October 2024\n...",
"image_list": [
"Chart_Modification/CMDFLX088-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nWanning: 823.7\nTunchang: 531\nSanya: 467.7\nBaisha: 456.3\nBaoting: 464.9\nWuzhishan: 420.9\nDing'an: 414.1\nChengmai: 222\nLedong: 328.3\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX090",
"system_prompt": "",
"prompt": "Please list the information on the proportion of various diseases in the obese population in this chart in the following format, and compare the occurrence of hyperuricemia in the obese population with\nExchange the proportion of carotid artery plaques. Note that there is no need to include any additional content, and the proportion should be rounded to one decimal place.\nDiabetes: the proportion of obese people with this disease\nGallstones: The proportion of obese individuals with this disease\nChronic kidney disease: proportion of obese individuals developing this disease\n…",
"image_list": [
"Chart_Modification/CMDFLX090-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\nDiabetes: 7.6%\nGallstones: 5.0%\nChronic kidney disease: 6.3%\nHyperuricemia: 17.3%\nHypertension: 36.9%\nFatty liver: 81.8%\nCarotid plaque: 21.1%\nDyslipidemia: 42.4%\n\n## Scoring criteria:\n- Student's answer synonymous with the correct answer gets 1 point.\n- Student's answer containing other content gets 0 points.\n- Student's answer not synonymous with the correct answer gets 0 points.\n- Please disregard any image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX091",
"system_prompt": "",
"prompt": "Please list the information on JD.com's daily active user growth rate for 2023 in the following format, and swap the highest and lowest daily active user growth rates. Note that no additional content should be included:\n\nJanuary 2023: Daily active user growth rate\nFebruary 2023: Daily active user growth rate\n...",
"image_list": [
"Chart_Modification/CMDFLX091-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nJanuary 2023 10%\nFebruary 2023 7%\nMarch 2023 0%\nApril 2023 3%\nMay 2023 9%\nJune 2023 5%\nJuly 2023 1%\nAugust 2023 4%\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX092",
"system_prompt": "",
"prompt": "Please list the information on the volume proportion of the entertainment market segmentation industry in Q1 2025 in the following format, and exchange the volume proportion of cinema movies and online movies. Note that no additional content needs to be included, and the proportion should be rounded to one decimal place.\nCinema movies: Proportion of volume\nCelebrities: Proportion of Voice Volume\n...",
"image_list": [
"Chart_Modification/CMDFLX092-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nTheatrical films: 0.2%\nCelebrities: 22.5%\nTV series: 21.7%\nVariety shows: 10.4%\nDocumentaries: 4.1%\nMicro-dramas: 3.3%\nAnimation: 2.7%\nOnline movies: 40.4%\n## Scoring criteria:\n- The student's answer is synonymous with the correct answer: 1 point.\n- The student's answer contains other content: 0 points.\n- The student's answer is not synonymous with the correct answer: 0 points.\n- Please ignore any image content and score based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX093",
"system_prompt": "",
"prompt": "Please list the specific broadcast index data of the top 10 TV series in Q1 2025 according to the following format, and exchange the broadcast indices of \"Chess\" and \"Wild Goose Returns\". Please note that no additional content needs to be included, and the data should be rounded to one decimal place.\nGoose Returns to Time: Broadcast Index\nNational Beauty: Broadcasting Index\n...",
"image_list": [
"Chart_Modification/CMDFLX093-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n\"When the Wild Geese Return\": 84.3\n\"National Beauty and Splendor\": 85.2\n\"The Go Player\": 85.3\n\"似锦\" (Seemingly Prosperous): 84.1\n\"Hard to Coax\": 84.0\n\"Going North\": 84.0\n\"White Moon and Sanskrit Star\": 83.4\n\"Five Blessings Descend upon the House\": 83.4\n\"Bleaching\": 83.3\n\"Six Sisters\": 83.3\n## Scoring criteria:\n- Student's answer that is synonymous with the correct answer scores 1 point.\n- Student's answer containing additional content scores 0 points.\n- Student's answer that is not synonymous with the correct answer scores 0 points.\n- Please disregard any image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX095",
"system_prompt": "",
"prompt": "Please list the total market value of each company in the table in the following format, and exchange the total market value data of Zhaoyi Innovation and Jiangbolong. Please note that there is no need to include additional content or add units.\nZhaoyi Innovation: Total Market Value\nPuran Corporation: Total Market Value\n...",
"image_list": [
"Chart_Modification/CMDFLX095-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nGigaDevice: 264\nPuya Semiconductor: 72\nDosilicon: 124\nLongsys: 679\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX097",
"system_prompt": "",
"prompt": "Please list the actual sales revenue of the Chinese game market from 2019 to 2024 in the following format, and swap the highest sales revenue with the lowest sales revenue. Note that no additional content is needed, and data should be rounded to two decimal places without units.\n\n2019: Actual sales revenue\n2020: Actual sales revenue\n...",
"image_list": [
"Chart_Modification/CMDFLX097-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2019: 3257.83\n2020: 2786.87\n2021: 2965.13\n2022: 2658.84\n2023: 3029.24\n2024: 2308.77\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX099",
"system_prompt": "",
"prompt": "Please list Norwegian Cruise Line Holdings' revenue for the period 2019-2023Q3 in the following format, and swap the highest and lowest revenue figures. Note that no additional content is needed, data should be rounded to one decimal place, and no units should be added.\n\n2019: Revenue\n2020: Revenue\n2021: Revenue\n2022: Revenue\n2023 Q1-Q3: Revenue",
"image_list": [
"Chart_Modification/CMDFLX099-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2019: 6.0\n2020: 12.8\n2021: 64.6\n2022: 48.4\n2023 Q3: 25.0\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please ignore any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX100",
"system_prompt": "",
"prompt": "Please list the number of cellular IoT terminal users at the end of 2017-2022 according to the following format, and swap the data for the end of 2018 and 2019. Note that no additional content is needed, data should be kept to two decimal places, and no units should be added.\n\nEnd of 2017: Number of cellular IoT terminal users\nEnd of 2018: Number of cellular IoT terminal users\nEnd of 2019: Number of cellular IoT terminal users\nEnd of 2020: Number of cellular IoT terminal users\nEnd of 2021: Number of cellular IoT terminal users\nEnd of 2022: Number of cellular IoT terminal users",
"image_list": [
"Chart_Modification/CMDFLX0100-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nEnd of 2017: 2.70\nEnd of 2018: 10.28\nEnd of 2019: 6.71\nEnd of 2020: 11.36\nEnd of 2021: 13.98\nEnd of August 2022: 16.98\nEnd of December 2022: 18.45\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX101",
"system_prompt": "",
"prompt": "Please list the growth rate of China's Internet advertising market from 2021 to 2025 in the following format, and exchange the growth rate information of 2022 and 2024. Note that there is no need to include additional content, and the data is kept to one decimal place without adding units.\n2021: Market growth rate\n2022: Market growth rate\n...",
"image_list": [
"Chart_Modification/CMDFLX101-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2021: 20.4%\n2022: 10.3%\n2023: 7.6%\n2024: 1.4%\n2025: 8.1%\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX104",
"system_prompt": "",
"prompt": "Extract the production and sales volumes of new energy vehicles in China from 2019 to 2023 from the image according to the following format, and swap the highest and lowest production volume data. Note that no additional content should be included, and data should be rounded to one decimal place without units.\n\n2019: Production: XX Sales: XX\n2020: Production: XX Sales: XX\n...",
"image_list": [
"Chart_Modification/CMDFLX104-1.png"
],
"ground_truth": {
"answer": "## Correct answer is:\n2019: Production: 958.7 Sales: 120.6\n2020: Production: 136.6 Sales: 136.7\n2021: Production: 354.5 Sales: 352.1\n2022: Production: 705.8 Sales: 688.7\n2023: Production: 124.2 Sales: 949.5\n## Scoring criteria:\n- Student's answer is synonymous with the correct answer: 1 point.\n- Student's answer contains additional content: 0 points.\n- Student's answer is not synonymous with the correct answer: 0 points.\n- Please disregard image content and grade based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX105",
"system_prompt": "",
"prompt": "Please list the gross profit margin data for Xinyi Solar and Flat Glass from 2016 to 2019 in the following format, and swap the highest gross profit margin of Xinyi Solar with the lowest gross profit margin of Flat Glass. Note that no additional content is needed, and data should be rounded to two decimal places.\n\n2016: Xinyi Solar: XX% Flat Glass: XX%\n2017: Xinyi Solar: XX% Flat Glass: XX%\n2018: Xinyi Solar: XX% Flat Glass: XX%\n2019: Xinyi Solar: XX% Flat Glass: XX%",
"image_list": [
"Chart_Modification/CMDFLX105-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2016: Xinyi Solar: 27.12% Flat Glass: 37.92%\n2017: Xinyi Solar: 35.74% Flat Glass: 28.87%\n2019: Xinyi Solar: 38.59% Flat Glass: 45.78%\n2020: Xinyi Solar: 43.00% Flat Glass: 31.56%\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX106",
"system_prompt": "",
"prompt": "Please list the proportion of each cuisine in the segmented catering category in the following format, and exchange the proportion of Guangdong cuisine and Zhejiang cuisine. Please note that no additional content needs to be included, and the data should be rounded to one decimal place.\nHotpot: XX%\nSichuan cuisine: XX%\n...",
"image_list": [
"Chart_Modification/CMDFLX106-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nHot pot: 13.7%\nSichuan cuisine: 12.4%\nChinese cuisine: 12.2%\nCantonese cuisine: 6.5%\nChinese food court: 7.5%\nZhejiang cuisine: 8.2%\nChinese barbecue: 4.7%\nHunan cuisine: 4.4%\nBeijing cuisine: 3.5%\nNorthwestern cuisine: 3.3%\nAnhui cuisine: 3.3%\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX107",
"system_prompt": "",
"prompt": "Please list the sales output value of the hotpot industry from 2011 to 2017 in the following format, and exchange the sales output value information for 2011 and 2015. Please note that no additional content needs to be included, and the data should be rounded to one decimal place without adding units.\n2011: XX\n2012: XX\n...",
"image_list": [
"Chart_Modification/CMDFLX107-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2011: 3181.4\n2012: 2103.2\n2013: 2419.4\n2014: 2795.7\n2015: 1843.8\n2016: 3646.5\n2017: 4051.3\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX108",
"system_prompt": "",
"prompt": "Please list the global new photovoltaic installed capacity data from 2020 to 2025 in both conservative and optimistic scenarios in the following format, and exchange the estimated data for 2021 under conservative scenarios with the estimated data for 2023 under optimistic scenarios. Please note that no additional content or units need to be added.\n2021: Conservative situation: XX, optimistic situation: XX\n2022: Conservative situation: XX, optimistic situation: XX\n...",
"image_list": [
"Chart_Modification/CMDFLX108-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2021: Conservative situation: 270, optimistic situation: 170\n2022: Conservative situation: 180, optimistic situation: 225\n2023: Conservative situation: 210, optimistic situation: 150\n2024: Conservative situation: 240, optimistic situation: 300\n2025: Conservative situation: 270, optimistic situation: 330\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX109",
"system_prompt": "",
"prompt": "Please list the size of China's automotive aftermarket from 2017 to 2022 in the following format. There was a mistake in the data for 2018 and 2021, please adjust them back. Please note that there is no need to include any additional content, and the data should be rounded to two decimal places without adding units.\n2017: XX\n2018: XX\n...",
"image_list": [
"Chart_Modification/CMDFLX109-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2017: 0.75\n2018: 1.14\n2019: 0.94\n2020: 1.03\n2021: 0.84\n2022: 1.21\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX110",
"system_prompt": "",
"prompt": "Please list the growth rate of China's automobile sales from 2015 to 2023 in the following format, and exchange the data for the years with the highest and lowest growth rates. Please note that no additional content needs to be included, and the data should be rounded to one decimal place without adding units.\n2015: XX%\n2016: XX%\n...",
"image_list": [
"Chart_Modification/CMDFLX110-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2015: -4.0%\n2016: 53.0%\n2017: 53.3%\n2018: 61.7%\n2019: 342.9%\n2020: 10.9%\n2021: 157.5%\n2022: 93.4%\n2023: 37.9%\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX111",
"system_prompt": "",
"prompt": "Please list the popularity distribution of \"self driving tours\" in various regions in 2023 in the following format, and exchange the popularity of the Northeast and Northwest regions. Please note that there is no need to include additional content or add units.\nNorth China: XX%\nnorthwest: XX%\n...",
"image_list": [
"Chart_Modification/CMDFLX111-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nEast China: 22%\nSouthwest: 22%\nNorth China: 15%\nNorthwest: 5%\nSouth China: 14%\nCentral China: 8%\nNortheast: 14%\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX112",
"system_prompt": "",
"prompt": "Please list the cost breakdown for compressor-type car refrigerators in 2023 according to the following format, exchanging the percentages for steel tubes and electronic control. Note that no additional content is needed.\n\nCompressor: XX%\nPlastic: XX%\nSteel tubes: XX%\nElectronic control: XX%\nOther components: XX%",
"image_list": [
"Chart_Modification/CMDFLX112-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nCompressor: 30%\nPlastic: 25%\nFoam materials: 10%\nAluminum: 10%\nElectronic control: 5%\nSteel pipes: 10%\nSteel: 3%\nOthers: 7%\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX114",
"system_prompt": "",
"prompt": "Please list the 2023 market share of car refrigerator brands on the TikTok platform according to the following format, and exchange the data of the highest share brand with the lowest share brand. Note that no additional content is needed, and data should be rounded to one decimal place.\n\nInder: XX%\nIcetiger: XX%\n...",
"image_list": [
"Chart_Modification/CMDFLX114-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nYingdeer: 3.3%\nIce Tiger: 13.0%\nUncle Ant: 9.9%\nPhilips: 4.0%\nQixuan: 40.8%\n\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer contains additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX116",
"system_prompt": "",
"prompt": "Please list the market share of PS, Xbox, and Switch in the shipment volume of gaming consoles in 2021 and 2022 in the following format, and exchange the market share of PS in 2021 and 2022. Please note that there is no need to include additional content or add units.\n2021: XX\n2022: XX\n...",
"image_list": [
"Chart_Modification/CMDFLX116-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2021: PS: 36% Xbox: 19% Switch: 50%\n2022: PS: 31% Xbox: 19% Switch: 45%\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and grade based solely on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX117",
"system_prompt": "",
"prompt": "Please list the market share ratios of lithium batteries, robots, photovoltaics, automotive parts, medical information technology, building materials, cross-border e-commerce, and the Internet of Things in the industry distribution statistics in the following format, and exchange the market share ratios of photovoltaics and the Internet of Things. Please note that there is no need to include additional content or add units.\nLithium battery: XX\nrobot: XX\nPhotovoltaic: XX\n...",
"image_list": [
"Chart_Modification/CMDFLX117-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\nLithium batteries: 7%\nRobotics: 5%\nPhotovoltaics: 6%\nAuto parts: 7%\nHealthcare IT: 6%\nBuilding materials: 6%\nCross-border e-commerce: 4%\nInternet of Things: 7%\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX118",
"system_prompt": "",
"prompt": "Please list the share proportion of Chinese Mainland, Taiwan, China, South Korea and Japan in the global LCD production capacity regions in 2005 and 2020 in the following format, and exchange the share proportion of Chinese Mainland in 2005 and 2020. Note that no additional content is required and no additional units are required.\n2005: XX\n2020: XX\n...",
"image_list": [
"Chart_Modification/CMDFLX118-1.png"
],
"ground_truth": {
"answer": "## The correct answer is:\n2005: Mainland China: 50% Taiwan: 30% South Korea: 42% Japan: 25%\n2020: Mainland China: 3% Taiwan: 25% South Korea: 20% Japan: 5%\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes additional content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based only on the above information.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
},
{
"id": "Geometric_Reasoning/Chart_Modification/CMDFLX121",
"system_prompt": "",
"prompt": "Please list the revenue data for gaming companies in the first half of 2024 according to the following format, and swap the data for Kingsoft Software and XD Inc. Note that no additional content should be included.\n\nTencent Holdings: XX NetEase-S: XX Bilibili-W: XX",
"image_list": [
"Chart_Modification/CMDFLX121-1.png"
],
"ground_truth": {
"answer": "The correct answer is:\nTencent Holdings: 3206.2\nNetEase-S: 523.4\nBilibili-W: 117.9\nCentury Huatong: 92.8\n37 Interactive Entertainment: 92.3\nKingsoft: 22.2\nNetDragon: 33.0\nZhongxu Future: 32.3\nShenzhou Taiyue: 30.5\nPerfect World: 27.6\nKingnet: 25.6\nKunlun Wanwei: 25.0\nIGG: 25.0\nSohu: 22.2\nXD Inc: 46.1\nG-bits: 19.6\nYaoji Technology: 19.1\nBaotong Technology: 17.2\nGiant Network: 14.3\nZhejiang Daily Digital Culture: 14.1\nCMGE Technology: 12.3\nGlacier Network: 12.1\n## Scoring criteria:\n- If the student's answer is synonymous with the correct answer, score 1 point.\n- If the student's answer includes other content, score 0 points.\n- If the student's answer is not synonymous with the correct answer, score 0 points.\n- Please disregard any image content and score based only on the above text.",
"rationale": ""
},
"judge_system_prompt": "You are a grading teacher tasked with reviewing and scoring student answers based on the reference answer. During the grading process, you must adhere to the following important points:\n\n- The scoring is based solely on the correctness of the student’s final answer compared to the reference answer. There is no need to assess whether the intermediate steps in the solution are correct. \n- First, extract the final answer provided by the student and display it in your analysis result. Then, judge the correctness of the extracted answer based on the reference answer. \n- Assign a score based on your analysis. When explaining the scoring analysis, the explanation should be broken down logically into sections. At the end of your explanation, summarize the analysis and format it as: \"In conclusion, the student’s answer should receive x points\" (where x indicates the specific score awarded). \n- Keep your explanation concise, limited to 200 words. \n- Provide the final score in \"JSON\" format using a code block.\n\nYour output format should be: \n[Scoring analysis]: \n[Score]: x points \n[JSON]: \n```json\n{\n \"answer_score\": [[score]]\n}\n```\n\n### Scoring Criteria:\n[Score Levels]:\nThe final answer is assessed according to the reference answer key and assigned one of two levels: \n- 1 Point: Maximum score. \n- 0 Points: Minimum score. (Even if the answer would merit less than 0 points, apply 0 as the lowest score.) \n\n[Detailed Explanation]:\n- 1 Point: \n - The student's final answer matches the reference answer exactly. \n - For questions with multiple subparts, all subparts must be correct to receive 1 point. \n - If the student’s answer is mathematically equivalent to the reference answer (e.g., if the student writes 1+1/2x while the reference answer is 1+0.5x, this is acceptable as 1/2=0.5 and earns full credit. \n- 0 Points:\n - The student’s final answer does not match the reference answer. \n - The student’s answer is empty. \n\nExample 1: \n\n<Question>: \nXiao Ming decides to host a party. If he has 5 tables and each table is paired with 10 chairs, how many more chairs than tables does he have? \n\n<Reference Answer>: 45 \n\n<Student’s Answer>: \nXiao Ming has $5$ tables, and each table is paired with $10$ chairs. So, he has a total of $5\\times10=50$ chairs. \nThe number of chairs minus the number of tables is $50-5=45$. \nThus, Xiao Ming has $45$ more chairs than tables. \n\n[Scoring analysis]: \nThe student’s final answer is that there are 45 more chairs than tables. \nThe reference answer is 45. \nThe two answers are consistent, so the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 2: \n\n<Question>: \nBox A contains 42 oranges, and Box B contains 18 oranges. If the same number of oranges is removed from both boxes such that the remaining oranges in Box A are 9 times those in Box B, how many oranges remain in each box? \n\n<Reference Answer>: 27, 3 \n\n<Student’s Answer>: \nLet the number of oranges removed from each box be \\(x\\). \nAccording to the problem, the remaining oranges in Box A are 9 times those in Box B. This gives the equation: \n\n(42 - x) = (18 - x) * 9 \n\nExpanding the equation: \n42 - x = 162 - 9x. \n\nRearranging terms: \n9x - x = 162 - 42.\n\nSimplifying: \n8x = 120. \n\nSolving for x: \nx = 120 / 8 \nx = 15. \n\nNow, calculate the remaining oranges: \nBox A: 42 - 15 = 27, \nBox B: 18 - 15 = 3. \n\nVerify the result: \nCheck whether the remaining oranges in Box A are 9 times those in Box B: \n27 = 3 * 9\n27 = 27\n\nThus, the solution satisfies the problem conditions. The final answer is: \nBox A has 27 oranges remaining, and Box B has 3 oranges remaining. \n\n[Scoring analysis]: \nThe student’s final answers are 27 for Box A and 3 for Box B. \nThe reference answers are 27 and 3. \nThe student’s answers match the reference answers. Therefore, the student earns 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```\n\nExample 3: \n\n<Question>: \nWhat is the value of sin(105°)? \n\n<Reference Answer>: \\(\\frac{\\sqrt{2} + \\sqrt{6}}{4}\\) \n\n<Student’s Answer>: \nTo calculate sin(105°), we can use the trigonometric addition formula and properties of angles greater than 90°. 105° can be expressed as 45° + 60°. \nThe formula for sine of a sum is: \nsin(A + B) = sin(A)cos(B) + cos(A)sin(B). \n\nThus: \nsin(105°) = sin(45° + 60°)\n= sin(45°)cos(60°) + cos(45°)sin(60°)\nWe know: \nsin(45°) = cos(45°) = √2/2\nsin(60°) = √3/2\ncos(60°) = 1/2\nSubstituting these values: \nsin(105°) = (√2/2)(1/2) + (√2/2)(√3/2)\n= √2/4 + √6/4\n= (√2 + √6) / 4. \n\nThus, sin(105°) 's exact value is (√2 + √6) / 4. \n\n[Scoring analysis]: \nThe student’s final answer is (√2 + √6) / 4. \nThe reference answer is \\\\frac{\\\\sqrt6+\\\\sqrt2}{4}, expressed in LaTeX format. Both answers are mathematically equivalent as\\\\frac{\\\\sqrt6+\\\\sqrt2}{4}=(√6 + √2)/4=(√2 + √6)/4. \nTherefore, the student’s answer is correct, and they earn 1 point. \n\n[Score]: 1 point \n[JSON]: \n```json\n{\n \"answer_score\": [[1]]\n}\n```",
"judge_prompt_template": "<Question>:\n{prompt}\n\n<Reference Answer>:\n{response_reference}\n\n<Student’s Answer>:\n{response}",
"extra": {
"difficulty": "",
"Category": "Geometric Reasoning",
"Subtask": "Chart Modification",
"tags": [],
"metadata": {
"source": ""
}
}
}
] |