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values | question_type stringclasses 1
value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
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|---|---|---|---|---|---|---|---|
1449 | [{"role": "user", "question": "The height of the parallelogram is 4m. What is the area of the parallelogram ABCD shown in the figure in square meters?", "hint": "", "options": {"A": "12", "B": "20", "C": "24", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Parallelograms | 3stpes_39 | 3steps_3 | |
145 | [{"role": "user", "question": "As shown in the diagram, which one is the ray?", "hint": "", "options": {"A": "l1", "B": "l2", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Line Segments, Lines, and Rays | 2steps_145 | 2steps_1 | |
1450 | [{"role": "user", "question": "As shown in the figure, the isosceles trapezoid on the left is formed using a 12 cm long wire. This wire can also be used to form the square on the right. What is the surface area of this square in cm²?", "hint": "", "options": {"A": "6", "B": "12", "C": "18", "D": "No correct answer"}, "... | A | mcq | Surface Area of Cubes | 3stpes_40 | 3steps_3 | |
1451 | [{"role": "user", "question": "As shown in the figure, a 16 cm long wire can be used to form the parallelogram above. The same wire can also be used to form the cuboid below. What is the surface area of the cuboid? ( ) cm²", "hint": "", "options": {"A": "6", "B": "10", "C": "12", "D": "No correct answer"}, "choices": [... | B | mcq | Surface Area of Rectangular Cuboids | 3stpes_41 | 3steps_3 | |
1452 | [{"role": "user", "question": "What is the area of the trapezoid ABCD shown in the figure in square meters?", "hint": "", "options": {"A": "12", "B": "20", "C": "24", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Trapezoids | 3stpes_42 | 3steps_3 | |
1453 | [{"role": "user", "question": "A rectangular piece of iron sheet has a square cut out from each of its four corners. Then, it is folded to form an open-top rectangular cuboid as shown in the figure. What is the base area of the rectangular cuboid? ()", "hint": "", "options": {"A": "50 cm²", "B": "100 cm²", "C": "10 cm²... | A | mcq | Surface Area of Rectangular Cuboids | 3stpes_43 | 3steps_3 | |
1454 | [{"role": "user", "question": "A square metal sheet has a small square with a side length of 2 cm cut out from each of its four corners. Then, it is folded to form an open-top cube. What is the surface area of the cube? ( ) cm²", "hint": "", "options": {"A": "8 cm²", "B": "16 cm²", "C": "24 cm²", "D": "32 cm²", "E": "N... | C | mcq | Surface Area of Cubes | 3stpes_44 | 3steps_3 | |
1455 | [{"role": "user", "question": "The side lengths of parallelogram ABCD are shown in the diagram. What is its area in cm²?", "hint": "", "options": {"A": "24", "B": "16", "C": "8", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Parallelograms | 3stpes_45 | 3steps_3 | |
1456 | [{"role": "user", "question": "As shown in the figure, there is an isosceles trapezoid ABCD with a triangle BED inside it. What is the perimeter of the triangle? ( ) cm", "hint": "", "options": {"A": "8", "B": "9", "C": "6", "D": "7", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Triangles | 3stpes_46 | 3steps_3 | |
1457 | [{"role": "user", "question": "The diagram shows an inverted irregular bottle, where the volume of water is v2 and the volume of air is v1 as shown. What is the total volume of the bottle in cm³?", "hint": "", "options": {"A": "72π", "B": "78π", "C": "54π", "D": "No correct answer"}, "choices": []}] | A | mcq | Combining and Dividing Solids | 3stpes_47 | 3steps_3 | |
1458 | [{"role": "user", "question": "What is the volume of the cylinder shown in the figure ( ) cm³?", "hint": "", "options": {"A": "288π", "B": "280π", "C": "100π", "D": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cylinders | 3stpes_48 | 3steps_3 | |
1459 | [{"role": "user", "question": "As shown in the figure, what is the base area of the cylinder in cm²?(π = 3.14)", "hint": "", "options": {"A": "12.56", "B": "1.56", "C": "78.5", "D": "No correct answer"}, "choices": []}] | A | mcq | Surface Area of Cylinders | 3stpes_49 | 3steps_3 | |
146 | [{"role": "user", "question": "As shown in the diagram, there are three points on a triangle. How many rays can be drawn through any two of these points?", "hint": "", "options": {"A": "6", "B": "8", "C": "2", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Line Segments, Lines, and Rays | 2steps_146 | 2steps_1 | |
1460 | [{"role": "user", "question": "After rotating triangle ABC 90 degrees clockwise around point C, the coordinates of point A' are?", "hint": "", "options": {"A": "(11,3)", "B": "(8,4)", "C": "(8,3)", "D": "(12,3)", "E": "No correct answer"}, "choices": []}] | A | mcq | Rotation | 3stpes_50 | 3steps_3 | |
1461 | [{"role": "user", "question": "As shown in the figure, point B can be represented by the coordinates (2, 2). What are the coordinates of point D?", "hint": "", "options": {"A": "(4, 5)", "B": "(5, 4)", "C": "(2, 2)", "D": "No correct answer"}, "choices": []}] | B | mcq | Representing Positions Using Ordered Pairs | 3stpes_51 | 3steps_3 | |
1462 | [{"role": "user", "question": "What is the volume of the rectangular cuboid shown in the diagram, in cubic decimeters (dm³)?", "hint": "", "options": {"A": "0.024", "B": "0.012", "C": "0.02", "D": "0.027", "E": "No correct answer"}, "choices": []}] | A | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_52 | 3steps_3 | |
1463 | [{"role": "user", "question": "A cylindrical wooden log is cut vertically along the diameter of its base into two parts (as shown in the figure), resulting in two rectangular cut surfaces. What was the original surface area of the cylindrical wooden log in square decimeters (dm²)?", "hint": "", "options": {"A": "18π", ... | B | mcq | Surface Area of Cylinders | 3stpes_53 | 3steps_3 | |
1464 | [{"role": "user", "question": "From the rectangle shown in the figure, a largest possible square is cut out. What is the area of the square in cm²?", "hint": "", "options": {"A": "410", "B": "198", "C": "441", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Squares | 3stpes_54 | 3steps_3 | |
1465 | [{"role": "user", "question": "The three angles of a triangle are shown in the figure. What type of triangle is this?", "hint": "", "options": {"A": "Right-angled", "B": "Acute-angled", "C": "Obtuse-angled", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Triangles | 3stpes_55 | 3steps_3 | |
1466 | [{"role": "user", "question": "The three angles of a triangle are shown in the figure. What type of triangle is this?", "hint": "", "options": {"A": "Right-angled", "B": "Acute-angled", "C": "Obtuse-angled", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Triangles | 3stpes_56 | 3steps_3 | |
1467 | [{"role": "user", "question": "The three angles of a triangle are shown in the figure. What type of triangle is this? ", "hint": "", "options": {"A": "Right-angled", "B": "Acute-angled", "C": "Obtuse-angled", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Triangles | 3stpes_57 | 3steps_3 | |
1468 | [{"role": "user", "question": "As shown in the figure, triangle ABC is an isosceles triangle, ∠B = 25°, then the angle of ∠1 is ( )", "hint": "", "options": {"A": "95°", "B": "145°", "C": "120°", "D": "No correct answer"}, "choices": []}] | C | mcq | Calculation and Comparison of Angles | 3stpes_58 | 3steps_3 | |
1469 | [{"role": "user", "question": "As shown in the figure, in the right triangle CAB, ∠A = 90°, then ∠C = ( )°", "hint": "", "options": {"A": "48°", "B": "58°", "C": "45°", "D": "68°", "E": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Triangles | 3stpes_59 | 3steps_3 | |
147 | [{"role": "user", "question": "As shown in the diagram, AC is perpendicular to OC. Among the paths from points A, B, and C to point O, the shortest is ( ).", "hint": "", "options": {"A": "OB", "B": "OC", "C": "OA", "D": "No correct answer"}, "choices": []}] | B | mcq | Distance Between Two Points | 2steps_147 | 2steps_1 | |
1470 | [{"role": "user", "question": "As shown in the figure, it is known that ∠2 = 70°. Then ∠1 = ( )° ", "hint": "", "options": {"A": "52", "B": "70", "C": "72", "D": "38", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 3stpes_60 | 3steps_3 | |
1471 | [{"role": "user", "question": "Calculate the degree of angle ∠1 based on the degrees of the other angles shown below ().", "hint": "", "options": {"A": "95°", "B": "85°", "C": "105°", "D": "No correct answer"}, "choices": []}] | A | mcq | Calculation and Comparison of Angles | 3stpes_61 | 3steps_3 | |
1472 | [{"role": "user", "question": "As shown in the figure, in △ABC, ∠A + ∠C = 130°. If ∠B is cut along the dashed line in the figure, then ∠1 + ∠2 equals ( )", "hint": "", "options": {"A": "130°", "B": "230°", "C": "270°", "D": "310°", "E": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Other Polygons | 3stpes_62 | 3steps_3 | |
1473 | [{"role": "user", "question": "The triangle in the figure below is a ( ) triangle.", "hint": "", "options": {"A": "Equilateral", "B": "Isosceles", "C": "Obtuse", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles | 3stpes_63 | 3steps_3 | |
1474 | [{"role": "user", "question": "In an isosceles triangle (as shown in the figure), ∠1 = ∠2. What is the measure of ∠1 in degrees?", "hint": "", "options": {"A": "150°", "B": "70°", "C": "75°", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 3stpes_64 | 3steps_3 | |
1475 | [{"role": "user", "question": "As shown in the figure, in triangle ABC, it is known that ∠A + ∠C = 100°. If angle B is cut off along the line in the figure, then ∠1 + ∠2 equals ( )", "hint": "", "options": {"A": "80°", "B": "100°", "C": "260°", "D": "270°", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Other Polygons | 3stpes_65 | 3steps_3 | |
1476 | [{"role": "user", "question": "Given that the triangle in the diagram is an isosceles triangle and ∠1 = ∠2, find the length of the third side of this triangle ( ).", "hint": "", "options": {"A": "3cm", "B": "6cm", "C": "12cm", "D": "8cm", "E": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles | 3stpes_66 | 3steps_3 | |
1477 | [{"role": "user", "question": "The figure below shows a rectangular piece of paper. Using a protractor, it is measured that ∠1 = 50°. After folding the left side, ∠2 = ∠3. The measure of ∠2 is ( ).", "hint": "", "options": {"A": "50°", "B": "60°", "C": "65°", "D": "70°", "E": "No correct answer"}, "choices": []}] | C | mcq | Understanding and Representing Angles | 3stpes_67 | 3steps_3 | |
1478 | [{"role": "user", "question": "Given that the length, width, and height of the rectangular cuboid in the figure below, find the volume of the rectangular cuboid ( )in cm³.", "hint": "", "options": {"A": "90", "B": "100", "C": "120", "D": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Rectangular Cuboids | 3stpes_68 | 3steps_3 | |
1479 | [{"role": "user", "question": "If the rectangular cuboid in the diagram is cut into the largest possible cube, what is the volume of that cube in cubic centimeters? ( )", "hint": "", "options": {"A": "64", "B": "125", "C": "1000", "D": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cubes | 3stpes_69 | 3steps_3 | |
148 | [{"role": "user", "question": "As shown in the diagram, given that the shortest distance from point A to point B is 5 cm, which of the following paths has a length of 5 cm? ()", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Distance Between Two Points | 2steps_148 | 2steps_1 | |
1480 | [{"role": "user", "question": "As shown in the figure, after cutting off a small cube with a volume of 8 cubic centimeters from a rectangular cuboid, the remaining volume is ( )", "hint": "", "options": {"A": "400 cubic centimeters", "B": "8 cubic centimeters", "C": "392 cubic centimeters", "D": "No correct answer"}, "... | C | mcq | Volume and Capacity of Rectangular Cuboids | 3stpes_70 | 3steps_3 | |
1481 | [{"role": "user", "question": "The white part in the figure is composed of 4 identical sectors, and the area of the white part is (9π) cm². What is the area of the shaded part ( ) cm²? (Unit: cm)", "hint": "", "options": {"A": "6 - 3π", "B": "36 - 3π", "C": "6 - 9π", "D": "36 - 9π", "E": "No correct answer"}, "choic... | D | mcq | Area of Squares | 3stpes_71 | 3steps_3 | |
1482 | [{"role": "user", "question": "In the figure below, the area of rectangle ③ is 314 square centimeters. What is the width of the rectangle ( ) cm?(π = 3.14)", "hint": "", "options": {"A": "3.14", "B": "6.28", "C": "15.7", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Rectangles | 3stpes_72 | 3steps_3 | |
1483 | [{"role": "user", "question": "As shown in the figure, a 4-meter-wide path is laid along the perimeter of a semicircular lawn. Given that the radius of the path is 24 meters, which of the following formulas should be used to find the area of the path? (π=3.14)", "hint": "", "options": {"A": "3.14×(24^2－20^2)÷2", "B": "... | A | mcq | Area of Circles | 3stpes_73 | 3steps_3 | |
1484 | [{"role": "user", "question": "As shown in the figure, multiple small cubes with a side length of 1 cm each are combined to form a large rectangular cuboid. What is the surface area of this rectangular cuboid in cm²?", "hint": "", "options": {"A": "22", "B": "21", "C": "20", "D": "18", "E": "No correct answer"}, "choic... | A | mcq | Surface Area of Rectangular Cuboids | 3stpes_74 | 3steps_3 | |
1485 | [{"role": "user", "question": "In the quadrilateral OABC shown in the figure, what is the measure of ∠OCB?", "hint": "", "options": {"A": "135", "B": "130", "C": "120", "D": "90", "E": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Other Polygons | 3stpes_75 | 3steps_3 | |
1486 | [{"role": "user", "question": "As shown in the figure, the three-dimensional shape on the right is obtained by rotating the right-angled trapezoid on the left around its lower base by 360 degrees. This three-dimensional shape can be divided into a cylinder and a cone. What is the volume of the cone in cm³? (Use π = 3.1... | B | mcq | Volume and Capacity of Cones | 3stpes_76 | 3steps_3 | |
1487 | [{"role": "user", "question": "As shown in the figure, an empty rectangular cuboid water tank has a volume of 6,280,000 cm³. Mike uses a conical water container with a height of 30 cm to pour water into the tank. After pouring water 10 times, the tank is exactly half full. What is the radius of the base of the conical ... | A | mcq | Volume and Capacity of Cones | 3stpes_77 | 3steps_3 | |
1488 | [{"role": "user", "question": "As shown in the figure, what is the color of the bottommost book placed on desk ③? ", "hint": "", "options": {"A": "Red", "B": "Green", "C": "Blue", "D": "Yellow", "E": "No correct answer"}, "choices": []}] | D | mcq | Up-Down Position | 3stpes_78 | 3steps_3 | |
1489 | [{"role": "user", "question": "As shown in the figure, what is the color of the bottommost book placed on desk ③? ", "hint": "", "options": {"A": "Red", "B": "Green", "C": "Blue", "D": "Yellow", "E": "No correct answer"}, "choices": []}] | D | mcq | Up-Down Position | 3stpes_79 | 3steps_3 | |
149 | [{"role": "user", "question": "As shown in the diagram, the line connecting points A and B on the circle passes through the center of the circle, and the shortest distance from A to B is 5 cm. Which of the following paths has a length of 5 cm? ()", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "④", "E": "N... | B | mcq | Distance Between Two Points | 2steps_149 | 2steps_1 | |
1490 | [{"role": "user", "question": "As shown in the figure, a three-dimensional shape is formed by stacking multiple rectangular cuboids. The volume of rectangular cuboid ② is () m³.", "hint": "", "options": {"A": "0.02", "B": "0.2", "C": "0.1", "D": "200", "E": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_80 | 3steps_3 | |
1491 | [{"role": "user", "question": "As shown in the figure, what is the volume of box ③ ( ) cm³?", "hint": "", "options": {"A": "0.1", "B": "100", "C": "100000", "D": "1", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_81 | 3steps_3 | |
1492 | [{"role": "user", "question": "As shown in the figure, a student is in the classroom. How many yellow squares are there in the upper part of the blackboard ① at the front of the classroom?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | B | mcq | Observing Figures | 3stpes_82 | 3steps_3 | |
1493 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a square. Its area is () cm².", "hint": "", "options": {"A": "3", "B": "6", "C": "9", "D": "12", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Squares | 3stpes_83 | 3steps_3 | |
1494 | [{"role": "user", "question": "As shown in the figure, the area of sector EGF is () cm².", "hint": "", "options": {"A": "3.14", "B": "1.05", "C": "7.065", "D": "6.28", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Sectors | 3stpes_84 | 3steps_3 | |
1495 | [{"role": "user", "question": "The volume of cylinder ② is 0.1 m³, and the diameter of its base is as shown in the figure. What is its height most approximately in meters?", "hint": "", "options": {"A": "0.3", "B": "0.4", "C": "0.5", "D": "0.6", "E": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Cylinders | 3stpes_85 | 3steps_3 | |
1496 | [{"role": "user", "question": "As shown in the figure, what is the distance between points A and B on line ① in meters?", "hint": "", "options": {"A": "0.03", "B": "30", "C": "3", "D": "0.003", "E": "No correct answer"}, "choices": []}] | A | mcq | Conversion Rates and Calculations Between Length Units | 3stpes_86 | 3steps_3 | |
1497 | [{"role": "user", "question": "As shown in the figure, the parallelogram ABCD is the lateral surface development of a cylinder. The circumference of the base of the cylinder is equal to the length of BC. What is the radius of the base in centimeters?", "hint": "", "options": {"A": "2", "B": "2.5", "C": "3", "D": "4", "... | B | mcq | Circumference of Circles | 3stpes_87 | 3steps_3 | |
1498 | [{"role": "user", "question": "As shown in the figure, the square ABCD is the lateral surface development of a cylinder. The radius of the base of the cylinder is 1 cm. What is the volume of the cylinder ( ) cm³?(π = 3.14)", "hint": "", "options": {"A": "20.56", "B": "19.72", "C": "31.4", "D": "39.4", "E": "No correct ... | B | mcq | Volume and Capacity of Cylinders | 3stpes_88 | 3steps_3 | |
1499 | [{"role": "user", "question": "As shown in the diagram, Mike is at the entrance of the supermarket. He wants to find Lucy. Which elevator should he take? ()", "hint": "", "options": {"A": "Upward elevator", "B": "Downward elevator", "C": "Unable to determine", "D": "No correct answer"}, "choices": []}] | B | mcq | Up-Down Position | 3stpes_89 | 3steps_3 | |
15 | [{"role": "user", "question": "As shown in the diagram, color the square to the left of square A in the cube. The correctly colored cube is ( ).", "hint": "", "options": {"A": "①", "B": "②", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Left-Right Position | 2steps_15 | 2steps_1 | |
150 | [{"role": "user", "question": "As shown in the diagram, the line connecting points A and B on the circle passes through the center of the circle, and the shortest distance from A to B is 5 cm. Which of the following paths has a length of 5 cm? ()", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "④", "E": "N... | C | mcq | Distance Between Two Points | 2steps_150 | 2steps_1 | |
1500 | [{"role": "user", "question": "As shown in the figure, the triangular rulers are placed together. What is the relationship between AB and BC?", "hint": "", "options": {"A": "Parallel", "B": "Perpendicular", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | B | mcq | perpendicularity | 3stpes_90 | 3steps_3 | |
1501 | [{"role": "user", "question": "As shown in the figure, color the square to the right above the square marked A on the cube. Then, when the cube is unfolded, which of the following unfolded diagrams is correct? ()", "hint": "", "options": {"A": "①", "B": "③", "C": "②", "D": "Cannot be determined", "E": "No correct answe... | A | mcq | Expanded View of Cubes | 3stpes_91 | 3steps_3 | |
1502 | [{"role": "user", "question": "What is the area of the rectangle ABCD shown in the figure?", "hint": "", "options": {"A": "50 cm²", "B": "100 cm²", "C": "10 cm²", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Rectangles | 3stpes_92 | 3steps_3 | |
1503 | [{"role": "user", "question": "As shown in the figure, the diagonals of rectangle ABCD are AC and BD. What is the perimeter of triangle OCD? ( ) cm", "hint": "", "options": {"A": "13", "B": "14", "C": "15", "D": "16", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Triangles | 3stpes_93 | 3steps_3 | |
1504 | [{"role": "user", "question": "As shown in the figure, the direction of ray L1 is ( )", "hint": "", "options": {"A": "west by north 45°", "B": "west by south 45°", "C": "east by north 45°", "D": "east by south 45°", "E": "No correct answer"}, "choices": []}] | C | mcq | Describing Simple Routes Based on Direction and Distance | 3stpes_94 | 3steps_3 | |
1505 | [{"role": "user", "question": "What is the volume of the cone shown in the figure in cubic meters? ", "hint": "", "options": {"A": "0.01", "B": "0.0001", "C": "0.00001", "D": "1", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_95 | 3steps_3 | |
1506 | [{"role": "user", "question": "In a cylinder, there is a square cross-section ABCD. The height of the cylinder and the diameter of the base are as shown in the figure. What is the surface area of the cylinder in cm²?", "hint": "", "options": {"A": "16π", "B": "24π", "C": "36π", "D": "40π", "E": "No correct answer"}, "c... | B | mcq | Surface Area of Cylinders | 3stpes_96 | 3steps_3 | |
1507 | [{"role": "user", "question": "Given that the lateral surface area of a cylinder is shown as a square in the figure, and the height and base radius of the cylinder are as shown in the figure, what is the surface area of the cylinder?", "hint": "", "options": {"A": "12.56π", "B": "14.56π", "C": "15π", "D": "6.28π", "E":... | B | mcq | Surface Area of Cylinders | 3stpes_97 | 3steps_3 | |
1508 | [{"role": "user", "question": "When Linlin was measuring the area of a rectangle, she arranged small squares into the pattern shown in the figure. Assuming each small square has a side length of 1 centimeter and the area of the rectangle is 45 cm², what is the area of the non-shaded part in cm²?", "hint": "", "options"... | A | mcq | Area of Squares | 3stpes_98 | 3steps_3 | |
1509 | [{"role": "user", "question": "As shown in the figure, there is an equilateral triangle inside a rectangle. Given that ∠4 = 13°, what is the measure of ∠2?", "hint": "", "options": {"A": "60°", "B": "73°", "C": "77°", "D": "13°", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 3stpes_99 | 3steps_3 | |
151 | [{"role": "user", "question": "There are three paths from point M to point N, one of which is the shortest. This path is ( ).", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Distance Between Two Points | 2steps_151 | 2steps_1 | |
1510 | [{"role": "user", "question": "As shown in the figure, two identical isosceles right triangles are combined to form a parallelogram, and the perimeter is reduced by 20 cm. Given that AB = AD = 10 cm, what is the area of the parallelogram ( ) cm²?", "hint": "", "options": {"A": "100", "B": "200", "C": "50", "D": "40"... | A | mcq | Area of Parallelograms | 3stpes_100 | 3steps_3 | |
1511 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a trapezoid formed by three right-angled triangles. The area of the trapezoid is 24.5 cm². What is the area of triangle ADE in cm²?", "hint": "", "options": {"A": "24 cm²", "B": "12 cm²", "C": "24.5 cm²", "D": "12.5 cm²", "E": "No correct answ... | B | mcq | Area of Triangles | 3stpes_101 | 3steps_3 | |
1512 | [{"role": "user", "question": "Using a square piece of paper with a side length of 2 dm to measure the area of a desk (as shown in the figure), the area of the desk is found to be 112 dm². What is the area of the non-shaded part of the desk? ( ) dm².", "hint": "", "options": {"A": "84 dm²", "B": "112 dm²", "C": "56 ... | A | mcq | Area of Squares | 3stpes_102 | 3steps_3 | |
1513 | [{"role": "user", "question": "A circular paper is folded twice to create creases AB and CD, which intersect at the center of the circle. If the paper is cut along AB and CD, what is the area of each resulting sector in cm²?", "hint": "", "options": {"A": "4π", "B": "10π", "C": "20π", "D": "40π", "E": "No correct answe... | A | mcq | Area of Sectors | 3stpes_103 | 3steps_3 | |
1514 | [{"role": "user", "question": "A rectangular piece of paper is folded twice (as shown in the diagram). Now, it is cut along the two creases EF and HG, and AEFB is a square. The cut-out piece AEHO is rolled into a cylinder with the short side as the height. What is the base area of this cylinder in cm²?", "hint": "", "o... | B | mcq | Surface Area of Cylinders | 3stpes_104 | 3steps_3 | |
1515 | [{"role": "user", "question": "As shown in the figure, there is a circle. After cutting it into four parts along AB and CD, the additional edge length compared to the original circumference is 40 cm. Using the original circle as the base and the circumference of 10π as the height, design a cylinder. What is the volume ... | B | mcq | Volume and Capacity of Cylinders | 3stpes_105 | 3steps_3 | |
1516 | [{"role": "user", "question": "In a hexagon, a sector with an arc length of 2π cm is drawn. This sector is then rolled into a cone. What is the base area of this cone in cm²?", "hint": "", "options": {"A": "π", "B": "3π", "C": "4π", "D": "5π", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties of Cones | 3stpes_106 | 3steps_3 | |
1517 | [{"role": "user", "question": "As shown in the figure, HG is the axis of symmetry of trapezoid ABCD. There is a square with the same perimeter as this trapezoid. What is the side length of this square?", "hint": "", "options": {"A": "3", "B": "6", "C": "9", "D": "12", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Squares | 3stpes_107 | 3steps_3 | |
1518 | [{"role": "user", "question": "As shown in the figure, there is a circular iron sheet. What is the volume in cm³ of a cylindrical iron bucket with this circular iron sheet as the base and a height of 10 cm?", "hint": "", "options": {"A": "188π", "B": "200π", "C": "244π", "D": "250π", "E": "No correct answer"}, "choices... | D | mcq | Volume and Capacity of Cylinders | 3stpes_108 | 3steps_3 | |
1519 | [{"role": "user", "question": "Given a parallelogram ABEC, triangle BCE is translated 3 cm to the left to form a new triangle ADC. What is the area of the right trapezoid ABED in cm²?", "hint": "", "options": {"A": "18", "B": "20", "C": "24", "D": "25", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Trapezoids | 3stpes_109 | 3steps_3 | |
152 | [{"role": "user", "question": "As shown in the diagram, there are four paths from O to D.If the shortest path from O to D is 5 cm, which path equals 5 cm? ( )", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "④", "E": "No correct answer"}, "choices": []}] | B | mcq | Distance Between Two Points | 2steps_152 | 2steps_1 | |
1520 | [{"role": "user", "question": "As shown in the figure, given that ABDO is a parallelogram, OC = OD = AB, and the area of the right trapezoid ABCD is 18 cm², what is the length of AB in cm?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Trapezoids | 3stpes_110 | 3steps_3 | |
1521 | [{"role": "user", "question": "As shown in the figure, what is the area of triangle AEB in cm²?", "hint": "", "options": {"A": "140", "B": "150", "C": "160", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Triangles | 3stpes_111 | 3steps_3 | |
1522 | [{"role": "user", "question": "As shown in the figure, if a parallelogram is cut out from the trapezoidal paper, what is the area of the largest possible parallelogram in cm²?", "hint": "", "options": {"A": "36", "B": "48", "C": "54", "D": "64", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Parallelograms | 3stpes_112 | 3steps_3 | |
1523 | [{"role": "user", "question": "As shown in the figure, the maximum amount of water that this cubic container can hold is () liters.", "hint": "", "options": {"A": "0.8", "B": "8", "C": "6", "D": "0.6", "E": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_113 | 3steps_3 | |
1524 | [{"role": "user", "question": "As shown in the figure, triangle ABC is folded along the straight line DE so that point B coincides with point A. What is the perimeter of triangle ABC in cm?", "hint": "", "options": {"A": "17", "B": "12", "C": "15", "D": "25", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Triangles | 3stpes_114 | 3steps_3 | |
1525 | [{"role": "user", "question": "A rectangular wooden block is shown in the figure. After cutting it into 5 pieces, the surface area increases by 40 dm². What is its volume in dm³?", "hint": "", "options": {"A": "170", "B": "120", "C": "150", "D": "1200", "E": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Rectangular Cuboids | 3stpes_115 | 3steps_3 | |
1526 | [{"role": "user", "question": "As shown in the figure, the three-dimensional shape is composed of a rectangular cuboid with a surface area of 144 cm² and a cube with a surface area of 96 cm². What is the surface area of this geometric shape in cm²?", "hint": "", "options": {"A": "144", "B": "208", "C": "96", "D": "224"... | B | mcq | Combining and Dividing Solids | 3stpes_116 | 3steps_3 | |
1527 | [{"role": "user", "question": "As shown in the figure, the radius of the sector coincides with the diameter of the circle. The area of the sector is half the area of the circle. What is the length of the arc corresponding to the sector in cm?(π = 3.14)", "hint": "", "options": {"A": "3.14", "B": "1.57", "C": "12.56", "... | B | mcq | Understanding Sectors | 3stpes_117 | 3steps_3 | |
1528 | [{"role": "user", "question": "As shown in the figure, the sector is symmetric about the line l1. What is the area of sector AOB in cm²?(π = 3.14)", "hint": "", "options": {"A": "3.14", "B": "9.42", "C": "12.56", "D": "6.28", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Sectors | 3stpes_118 | 3steps_3 | |
1529 | [{"role": "user", "question": "As shown in the figure, in the rectangle ABGH, fold along DC. What is the measure of ∠ADC?", "hint": "", "options": {"A": "90°", "B": "120°", "C": "105°", "D": "135°", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Other Polygons | 3stpes_119 | 3steps_3 | |
153 | [{"role": "user", "question": "As shown in the diagram, there are three paths from A to C. Which one is the shortest? ()", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Distance Between Two Points | 2steps_153 | 2steps_1 | |
1530 | [{"role": "user", "question": "In the quadrilateral ABCD shown in the figure, what is the area of triangle ABD in square meters?", "hint": "", "options": {"A": "12", "B": "0.0012", "C": "0.0006", "D": "6", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Area Units | 3stpes_120 | 3steps_3 | |
1531 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a rectangle, quadrilateral BEFG is a square, and the shaded area is a sector with ∠CBG=60° as the central angle. What is the area of the shaded sector in cm²?(Use π = 3.14)", "hint": "", "options": {"A": "2.09", "B": "3.14", "C": "4.71", "D": ... | A | mcq | Area of Sectors | 3stpes_121 | 3steps_3 | |
1532 | [{"role": "user", "question": "In the parallelogram ABCD shown in the figure, what is the perimeter of triangle CPD in cm? ", "hint": "", "options": {"A": "24", "B": "30", "C": "36", "D": "37", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Triangles | 3stpes_122 | 3steps_3 | |
1533 | [{"role": "user", "question": "In the parallelogram ABCD shown in the figure, D and D' are symmetric with respect to the axis CP. What is the perimeter of the parallelogram ABCD in cm?", "hint": "", "options": {"A": "28", "B": "30", "C": "36", "D": "56", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Parallelograms | 3stpes_123 | 3steps_3 | |
1534 | [{"role": "user", "question": "As shown in the figure, in parallelogram ABCD, M is the midpoint of AD, and point N is on AB. Given that the area of triangle AND is 10 cm² and AB is parallel to CD, what is the area of triangle CAN in cm²?", "hint": "", "options": {"A": "10", "B": "5", "C": "15", "D": "9", "E": "No corre... | A | mcq | Parallel | 3stpes_124 | 3steps_3 | |
1535 | [{"role": "user", "question": "As shown in the figure, the area of triangle ABE is equal to the area of triangle BCD. In triangle ABE, the height from the base BE is 4 cm. What is the area of triangle BCD in cm²?", "hint": "", "options": {"A": "16", "B": "8", "C": "4", "D": "2", "E": "No correct answer"}, "choices": []... | B | mcq | Area of Triangles | 3stpes_125 | 3steps_3 | |
1536 | [{"role": "user", "question": "Two squares are arranged as shown in the figure. With D as the center and ED as the radius, draw an arc and connect BG. The areas of triangles EDG and BEG are equal. What is the area of the shaded part in the figure? (Use π = 3.14)( ) cm²", "hint": "", "options": {"A": "3.14", "B": "6.28"... | C | mcq | Area of Sectors | 3stpes_126 | 3steps_3 | |
1537 | [{"role": "user", "question": "For the rectangular cuboid shown in the figure, the left side is its expanded view. In this rectangular cuboid, what is the distance from point A to point G to point F? (Unit: cm)", "hint": "", "options": {"A": "12", "B": "7", "C": "10", "D": "Cannot be determined", "E": "No correct answe... | C | mcq | Properties and Understanding of Rectangular Cuboids | 3stpes_127 | 3steps_3 | |
1538 | [{"role": "user", "question": "As shown in the figure, ∠A = 90°. What is the area of the sector with center A and radius AB? ( ) cm²(π = 3.14)", "hint": "", "options": {"A": "12.56", "B": "19.625", "C": "78.5", "D": "25", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Sectors | 3stpes_128 | 3steps_3 |
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