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A rectangle is 3 cm long and 23 cm wide. Find its area and perimeter. | Area = length × width = 3 × 23 = 69 cm². Perimeter = 2 × (3 + 23) = 52 cm. | area 69 cm^2, perimeter 52 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 51 and 57. | GCD(51, 57) = 3. LCM = (51 × 57) / GCD = 2907/3 = 969. | GCD 3, LCM 969 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 3 raised to the power 4 (3^4). | 3^4 = 3 × 3 × 3 × 3 = 81. | 81 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 40 kg to g. | 1 kg = 1000 g, so 40 kg = 40 × 1000 = 40000 g. | 40000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 36 in the ratio 2:1. | Total parts = 2 + 1 = 3. Each part = 36/3 = 12. Shares = 24 and 12. | 24 and 12 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 15 m to cm. | 1 m = 100 cm, so 15 m = 15 × 100 = 1500 cm. | 1500 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 57 km/h for 3 hours. How far does it go? | Distance = speed × time = 57 × 3 = 171 km. | 171 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 36/27. | gcd(36, 27) = 9. Dividing gives 4/3. | 4/3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 476 + 349. | 476 + 349 = 825. | 825 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A circle has radius 10 cm. Find its area and circumference (use π = 3.14). | Area = πr² = 3.14 × 10² = 314.0 cm². Circumference = 2πr = 2 × 3.14 × 10 = 62.8 cm. | area 314.0 cm^2, circumference 62.8 cm | geometry | hard | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 24/9. | gcd(24, 9) = 3. Dividing gives 8/3. | 8/3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 9/6. | gcd(9, 6) = 3. Dividing gives 3/2. | 3/2 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 7x - 4 = -18. | Subtract -4 from both sides: 7x = -14. Divide by 7: x = -2. | -2 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 270 is increased by 50%. What is the new value? | Change = 50% of 270 = 135. New value = 270 + 135 = 405. | 405 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 420 is decreased by 25%. What is the new value? | Change = 25% of 420 = 105. New value = 420 - 105 = 315. | 315 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 387 - 347. | 387 - 347 = 40. | 40 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 240 is decreased by 25%. What is the new value? | Change = 25% of 240 = 60. New value = 240 - 60 = 180. | 180 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 17 and 39. | GCD(17, 39) = 1. LCM = (17 × 39) / GCD = 663/1 = 663. | GCD 1, LCM 663 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 144 in the ratio 4:2. | Total parts = 4 + 2 = 6. Each part = 144/6 = 24. Shares = 96 and 48. | 96 and 48 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 47 km/h for 6 hours. How far does it go? | Distance = speed × time = 47 × 6 = 282 km. | 282 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 6/7 + 1/5. Give the answer in simplest form. | Common denominator is 35. 6/7 = 30/35, 1/5 = 7/35. Sum = 37/35 = 37/35. | 37/35 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 190 is increased by 25%. What is the new value? | Change = 25% of 190 = 47.5. New value = 190 + 47.5 = 237.5. | 237.5 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/5 + 5/3. Give the answer in simplest form. | Common denominator is 15. 5/5 = 15/15, 5/3 = 25/15. Sum = 40/15 = 8/3. | 8/3 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x + 7 = 7. | Subtract +7 from both sides: 2x = 0. Divide by 2: x = 0. | 0 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 324 - 79. | 324 - 79 = 245. | 245 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 17, 53, 10, 55. | Sum = 135, count = 4. Mean = 135/4 = 33.75. | 33.75 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 22 km/h for 5 hours. How far does it go? | Distance = speed × time = 22 × 5 = 110 km. | 110 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 18/36. | gcd(18, 36) = 18. Dividing gives 1/2. | 1/2 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Amit buys 5 tickets at 4 rupees each. How much does Amit pay in total? | Total = 5 × 4 = 20 rupees. | 20 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 22 and 9. | GCD(22, 9) = 1. LCM = (22 × 9) / GCD = 198/1 = 198. | GCD 1, LCM 198 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 32 in the ratio 3:1. | Total parts = 3 + 1 = 4. Each part = 32/4 = 8. Shares = 24 and 8. | 24 and 8 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 3 + 19 × 20 using the order of operations. | Multiply first: 19 × 20 = 380. Then add: 3 + 380 = 383. | 383 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 19 + 12 × 3 using the order of operations. | Multiply first: 12 × 3 = 36. Then add: 19 + 36 = 55. | 55 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 88 in the ratio 4:4. | Total parts = 4 + 4 = 8. Each part = 88/8 = 11. Shares = 44 and 44. | 44 and 44 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Sam buys 9 tickets at 40 rupees each. How much does Sam pay in total? | Total = 9 × 40 = 360 rupees. | 360 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Neha buys 19 candies at 25 rupees each. How much does Neha pay in total? | Total = 19 × 25 = 475 rupees. | 475 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 290 is increased by 25%. What is the new value? | Change = 25% of 290 = 72.5. New value = 290 + 72.5 = 362.5. | 362.5 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x - 2 = 2. | Subtract -2 from both sides: 2x = 4. Divide by 2: x = 2. | 2 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 15% of 140? | 15% of 140 = (15/100) × 140 = 21. | 21 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 4x - 15 = -23. | Subtract -15 from both sides: 4x = -8. Divide by 4: x = -2. | -2 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 13 + 11 × 20 using the order of operations. | Multiply first: 11 × 20 = 220. Then add: 13 + 220 = 233. | 233 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 15% of 50? | 15% of 50 = (15/100) × 50 = 7.5. | 7.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/3 + 7/7. Give the answer in simplest form. | Common denominator is 21. 3/3 = 21/21, 7/7 = 21/21. Sum = 42/21 = 2. | 2 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/4 + 2/4. Give the answer in simplest form. | Common denominator is 4. 3/4 = 3/4, 2/4 = 2/4. Sum = 5/4 = 5/4. | 5/4 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 53 km/h for 9 hours. How far does it go? | Distance = speed × time = 53 × 9 = 477 km. | 477 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 10, 14, 18, 22, ... ? | The pattern is arithmetic (adding 4), so the next term is 26. | 26 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Lily buys 14 tickets at 21 rupees each. How much does Lily pay in total? | Total = 14 × 21 = 294 rupees. | 294 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 13 cm long and 20 cm wide. Find its area and perimeter. | Area = length × width = 13 × 20 = 260 cm². Perimeter = 2 × (13 + 20) = 66 cm. | area 260 cm^2, perimeter 66 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
John buys 8 tickets at 35 rupees each. How much does John pay in total? | Total = 8 × 35 = 280 rupees. | 280 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 37 cm long and 18 cm wide. Find its area and perimeter. | Area = length × width = 37 × 18 = 666 cm². Perimeter = 2 × (37 + 18) = 110 cm. | area 666 cm^2, perimeter 110 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 360? | 60% of 360 = (60/100) × 360 = 216. | 216 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/2 + 3/3. Give the answer in simplest form. | Common denominator is 6. 3/2 = 9/6, 3/3 = 6/6. Sum = 15/6 = 5/2. | 5/2 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 27 m to cm. | 1 m = 100 cm, so 27 m = 27 × 100 = 2700 cm. | 2700 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 9/9 + 9/4. Give the answer in simplest form. | Common denominator is 36. 9/9 = 36/36, 9/4 = 81/36. Sum = 117/36 = 13/4. | 13/4 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 65, 60, 64, 41, 27, 79. | Sum = 336, count = 6. Mean = 336/6 = 56. | 56 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Sam buys 20 books at 15 rupees each. How much does Sam pay in total? | Total = 20 × 15 = 300 rupees. | 300 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 5x + 1 = -9. | Subtract +1 from both sides: 5x = -10. Divide by 5: x = -2. | -2 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 30 km to m. | 1 km = 1000 m, so 30 km = 30 × 1000 = 30000 m. | 30000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 5x + 4 = 59. | Subtract +4 from both sides: 5x = 55. Divide by 5: x = 11. | 11 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 36/30. | gcd(36, 30) = 6. Dividing gives 6/5. | 6/5 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 10/14. | gcd(10, 14) = 2. Dividing gives 5/7. | 5/7 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 493 - 402. | 493 - 402 = 91. | 91 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 33 m to cm. | 1 m = 100 cm, so 33 m = 33 × 100 = 3300 cm. | 3300 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 9 and 24. | GCD(9, 24) = 3. LCM = (9 × 24) / GCD = 216/3 = 72. | GCD 3, LCM 72 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 12 raised to the power 2 (12^2). | 12^2 = 12 × 12 = 144. | 144 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 67 km/h for 2 hours. How far does it go? | Distance = speed × time = 67 × 2 = 134 km. | 134 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 7, 15, 23, 31, ... ? | The pattern is arithmetic (adding 8), so the next term is 39. | 39 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x - 2 = -16. | Subtract -2 from both sides: 2x = -14. Divide by 2: x = -7. | -7 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Omar buys 17 candies at 10 rupees each. How much does Omar pay in total? | Total = 17 × 10 = 170 rupees. | 170 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 40/20. | gcd(40, 20) = 20. Dividing gives 2. | 2 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 7 + 5 × 2 using the order of operations. | Multiply first: 5 × 2 = 10. Then add: 7 + 10 = 17. | 17 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 8/40. | gcd(8, 40) = 8. Dividing gives 1/5. | 1/5 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 508 - 63. | 508 - 63 = 445. | 445 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 42, 94, 90, 27, 44, 78. | Sum = 375, count = 6. Mean = 375/6 = 62.5. | 62.5 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 15% of 350? | 15% of 350 = (15/100) × 350 = 52.5. | 52.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 3 raised to the power 2 (3^2). | 3^2 = 3 × 3 = 9. | 9 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 697 - 371. | 697 - 371 = 326. | 326 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 6x - 2 = 10. | Subtract -2 from both sides: 6x = 12. Divide by 6: x = 2. | 2 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 35 and 54. | GCD(35, 54) = 1. LCM = (35 × 54) / GCD = 1890/1 = 1890. | GCD 1, LCM 1890 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 28/7. | gcd(28, 7) = 7. Dividing gives 4. | 4 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 10 + 16 × 2 using the order of operations. | Multiply first: 16 × 2 = 32. Then add: 10 + 32 = 42. | 42 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 32/56. | gcd(32, 56) = 8. Dividing gives 4/7. | 4/7 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 3 + 10 × 7 using the order of operations. | Multiply first: 10 × 7 = 70. Then add: 3 + 70 = 73. | 73 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 16 and 6. | GCD(16, 6) = 2. LCM = (16 × 6) / GCD = 96/2 = 48. | GCD 2, LCM 48 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 21 km/h for 6 hours. How far does it go? | Distance = speed × time = 21 × 6 = 126 km. | 126 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A circle has radius 17 cm. Find its area and circumference (use π = 3.14). | Area = πr² = 3.14 × 17² = 907.46 cm². Circumference = 2πr = 2 × 3.14 × 17 = 106.76 cm. | area 907.46 cm^2, circumference 106.76 cm | geometry | hard | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 18/6. | gcd(18, 6) = 6. Dividing gives 3. | 3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 20% of 190? | 20% of 190 = (20/100) × 190 = 38. | 38 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 9x + 9 = 81. | Subtract +9 from both sides: 9x = 72. Divide by 9: x = 8. | 8 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 31 hours to minutes. | 1 hours = 60 minutes, so 31 hours = 31 × 60 = 1860 minutes. | 1860 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 48, 28, 58, 46. | Sum = 180, count = 4. Mean = 180/4 = 45. | 45 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 75% of 230? | 75% of 230 = (75/100) × 230 = 172.5. | 172.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 110 is increased by 20%. What is the new value? | Change = 20% of 110 = 22. New value = 110 + 22 = 132. | 132 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 14 + 18 × 9 using the order of operations. | Multiply first: 18 × 9 = 162. Then add: 14 + 162 = 176. | 176 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 26, 39, 56, 9, 39, 100. | Sum = 269, count = 6. Mean = 269/6 = 44.83. | 44.83 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 29 cm long and 26 cm wide. Find its area and perimeter. | Area = length × width = 29 × 26 = 754 cm². Perimeter = 2 × (29 + 26) = 110 cm. | area 754 cm^2, perimeter 110 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 30/40. | gcd(30, 40) = 10. Dividing gives 3/4. | 3/4 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 438 - 343. | 438 - 343 = 95. | 95 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 40 km/h for 5 hours. How far does it go? | Distance = speed × time = 40 × 5 = 200 km. | 200 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 350 is increased by 25%. What is the new value? | Change = 25% of 350 = 87.5. New value = 350 + 87.5 = 437.5. | 437.5 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
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