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value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
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602 | [{"role": "user", "question": "As shown in the diagram, the sum of the interior angles of a quadrilateral is 360°. If ∠1 = 3∠2 and ∠3 = ∠2, what is the measure of ∠1?", "hint": "", "options": {"A": "180°", "B": "54°", "C": "108°", "D": "72°", "E": "No correct answer"}, "choices": []}] | C | mcq | Calculation and Comparison of Angles | 2steps_242 | 2steps_2 | |
603 | [{"role": "user", "question": "As shown in the diagram, the interior angle of a regular hexagon is used. When tiling with regular hexagons, how many interior angles are used at the joints?", "hint": "", "options": {"A": "1", "B": "2", "C": "3", "D": "4", "E": "No correct answer"}, "choices": []}] | C | mcq | Tessellation of Figures | 2steps_243 | 2steps_2 | |
604 | [{"role": "user", "question": "As shown in the diagram, each interior angle of a regular octagon is given. Can two regular octagons with the same side length and one square with the same side length as the octagon tessellate the plane?", "hint": "", "options": {"A": "Yes", "B": "No", "C": "Cannot be determined", "D": "... | A | mcq | Tessellation of Figures | 2steps_244 | 2steps_2 | |
605 | [{"role": "user", "question": "As shown in the diagram, there is a rectangle composed of 6 small squares. What is the perimeter of the rectangle in terms of the side length of the small squares?", "hint": "", "options": {"A": "6", "B": "8", "C": "12", "D": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Rectangles | 2steps_245 | 2steps_2 | |
606 | [{"role": "user", "question": "Lin Lin is measuring the area of a rectangle and arranges small squares as shown in the diagram. The area of this rectangle is ( ) square centimeters.", "hint": "", "options": {"A": "36", "B": "66", "C": "28", "D": "11", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Rectangles | 2steps_246 | 2steps_2 | |
607 | [{"role": "user", "question": "What is the area of the large rectangle in the diagram? (Unit: square centimeters)", "hint": "", "options": {"A": "12", "B": "35", "C": "28", "D": "30", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Rectangles | 2steps_247 | 2steps_2 | |
608 | [{"role": "user", "question": "As shown in the diagram, Fangfang arranged the following figure using small squares with a side length of 1 cm within a large square. 6 small squares can make up the side length of the large square. What is the area of this large square in cm²?", "hint": "", "options": {"A": "36", "B": "3... | A | mcq | Area of Squares | 2steps_248 | 2steps_2 | |
609 | [{"role": "user", "question": "As shown in the diagram, it is known that there are three small circles in box A. In which direction is box A located relative to the pentagon?", "hint": "", "options": {"A": "Southeast", "B": "Southwest", "C": "Northwest", "D": "Northeast", "E": "No correct answer"}, "choices": []}] | C | mcq | Southeast, Southwest, Northeast, Northwest Directions | 2steps_249 | 2steps_2 | |
61 | [{"role": "user", "question": "As shown in the diagram, among the following plane figures, which one can tile a plane without gaps or overlaps? ", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Tessellation of Figures | 2steps_61 | 2steps_1 | |
610 | [{"role": "user", "question": "As shown in the diagram, how should A travel to reach B via the square path? ()", "hint": "", "options": {"A": "First walk 200m north, then 300m east", "B": "First walk 200m north, then 400m east", "C": "First walk 300m north, then 400m east", "D": "First walk 400m north, then 400m east",... | C | mcq | Describing Simple Routes Based on Direction and Distance | 2steps_250 | 2steps_2 | |
611 | [{"role": "user", "question": "As shown in the diagram, how should A travel via the square path to reach C? ()", "hint": "", "options": {"A": "First walk 200m north, then 300m east", "B": "First walk 400m east, then 300m north", "C": "First walk 300m north, then 400m east", "D": "First walk 400m east, then 400m north",... | B | mcq | Describing Simple Routes Based on Direction and Distance | 2steps_251 | 2steps_2 | |
612 | [{"role": "user", "question": "As shown in the diagram, a = 3m, b = 3m. To get from point A to point B, the correct description of the route is ( )", "hint": "", "options": {"A": "First walk 3m east, then walk 3m northeast", "B": "First walk 4m east, then walk 3m northeast", "C": "First walk 3m east, then walk 5m north... | A | mcq | Describing Simple Routes Based on Direction and Distance | 2steps_252 | 2steps_2 | |
613 | [{"role": "user", "question": "As shown in the diagram, a square sheet of metal has its four corners cut off and is folded to form a cube-shaped metal box. What is the area of the base of the cube?", "hint": "", "options": {"A": "5 cm²", "B": "1 cm²", "C": "2 cm²", "D": "No correct answer"}, "choices": []}] | B | mcq | Surface Area of Cubes | 2steps_253 | 2steps_2 | |
614 | [{"role": "user", "question": "As shown in the diagram, if the figure below is folded into a three-dimensional shape as depicted, what is its volume?", "hint": "", "options": {"A": "8 m³", "B": "16 m³", "C": "24 m³", "D": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cubes | 2steps_254 | 2steps_2 | |
615 | [{"role": "user", "question": "As shown in the diagram, among the unfolded figures below, figure ③ is the expanded view of a cube. What is the edge length of the cube? (in cm)", "hint": "", "options": {"A": "100", "B": "10", "C": "1", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Length Units | 2steps_255 | 2steps_2 | |
616 | [{"role": "user", "question": "As shown in the diagram, a cube and its corresponding expanded view are presented below. What is the shortest path from point A to point B?", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | C | mcq | Distance Between Two Points | 2steps_256 | 2steps_2 | |
617 | [{"role": "user", "question": "Uncle Wang plans to build a cubic chicken coop in the corner of a wall. The edge length of the cube is 4m. At least how many square meters of plastic netting is needed?", "hint": "", "options": {"A": "48", "B": "64", "C": "90", "D": "No correct answer"}, "choices": []}] | A | mcq | Surface Area of Cubes | 2steps_257 | 2steps_2 | |
618 | [{"role": "user", "question": "As shown in the diagram, a cube frame is constructed using a total length of 12 cm of wooden sticks. The surface area of the cube is ( ) square centimeters.", "hint": "", "options": {"A": "6", "B": "12", "C": "18", "D": "No correct answer"}, "choices": []}] | A | mcq | Surface Area of Cubes | 2steps_258 | 2steps_2 | |
619 | [{"role": "user", "question": "As shown in the diagram, each face of the tin box is a square. Can the squares tile the plane completely?", "hint": "", "options": {"A": "No", "B": "Yes", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | B | mcq | Tessellation of Figures | 2steps_259 | 2steps_2 | |
62 | [{"role": "user", "question": "As shown in the diagram, among the following plane figures, which one can tile a plane without gaps or overlaps? ", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Tessellation of Figures | 2steps_62 | 2steps_1 | |
620 | [{"role": "user", "question": "As shown in the diagram, a 12cm long wire can be used to form a cube on the right with an edge length of 1cm. The same wire can also be used to form the isosceles trapezoid on the left. What is the length of the leg of the trapezoid? (in cm)", "hint": "", "options": {"A": "4", "B": "5", "... | C | mcq | Perimeter of Trapezoids | 2steps_260 | 2steps_2 | |
621 | [{"role": "user", "question": "As shown in the diagram, there are two wires of the same length, one forming the frame of a cube on the left, and the other forming the frame of a rectangular cuboid on the right. It is known that the frame of the cube is 60 cm long. What is the height of the rectangular cuboid (in cm)?",... | C | mcq | Properties and Understanding of Rectangular Cuboids | 2steps_261 | 2steps_2 | |
622 | [{"role": "user", "question": "As shown in the diagram，the volume of the rectangular cuboid is ( ).", "hint": "", "options": {"A": "36 cubic centimeters", "B": "12 cubic centimeters", "C": "18 cubic centimeters", "D": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_262 | 2steps_2 | |
623 | [{"role": "user", "question": "The area of the base of the rectangular cuboid in the diagram is ( ) square centimeters.", "hint": "", "options": {"A": "50 square centimeters", "B": "40 square centimeters", "C": "20 square centimeters", "D": "No correct answer"}, "choices": []}] | A | mcq | Surface Area of Rectangular Cuboids | 2steps_263 | 2steps_2 | |
624 | [{"role": "user", "question": "There are three types of cardboard sheets labeled ①, ②, and ③ (with sufficient quantities available). Choose six sheets to form a rectangular cuboid (excluding those with equal length, width, and height). The volume of this rectangular cuboid is ( ) cubic centimeters.", "hint": "", "op... | C | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_264 | 2steps_2 | |
625 | [{"role": "user", "question": "The volume of the rectangular cuboid shown in the diagram is ( ) cubic centimeters.", "hint": "", "options": {"A": "1600", "B": "960", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_265 | 2steps_2 | |
626 | [{"role": "user", "question": "The cube in the diagram below has a total of ________ faces. ( )", "hint": "", "options": {"A": "6", "B": "18", "C": "10", "D": "12", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Cubes | 2steps_266 | 2steps_2 | |
627 | [{"role": "user", "question": "As shown in the diagram, a rectangular frame is constructed using 16 wooden bars, each 1 cm in length. What is the surface area of the rectangular frame in square centimeters?", "hint": "", "options": {"A": "6", "B": "10", "C": "12", "D": "No correct answer"}, "choices": []}] | B | mcq | Surface Area of Rectangular Cuboids | 2steps_267 | 2steps_2 | |
628 | [{"role": "user", "question": "As shown in the diagram, the shapes of each face of the tin box are as follows. Can they all tessellate (tile a plane without gaps or overlaps)?", "hint": "", "options": {"A": "No, they cannot", "B": "Yes, they can", "C": "It is uncertain", "D": "No correct answer"}, "choices": []}] | B | mcq | Tessellation of Figures | 2steps_268 | 2steps_2 | |
629 | [{"role": "user", "question": "As shown in the diagram, what is the volume of the cone in cm³?(π = 3.14)", "hint": "", "options": {"A": "6", "B": "3.14", "C": "37.68", "D": "12.56", "E": "No correct answer"}, "choices": []}] | D | mcq | Volume and Capacity of Cones | 2steps_269 | 2steps_2 | |
63 | [{"role": "user", "question": "Assemble the shapes below into a rectangle. What are the length and width of the resulting rectangle?", "hint": "", "options": {"A": "12, 4", "B": "12, 8", "C": "8, 4", "D": "No correct answer"}, "choices": []}] | A | mcq | Combining Plane Figures | 2steps_63 | 2steps_1 | |
630 | [{"role": "user", "question": "As shown in the diagram, among the two cones, the volume of the larger cone is ( )?", "hint": "", "options": {"A": "12π", "B": "16π", "C": "9.6π", "D": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Cones | 2steps_270 | 2steps_2 | |
631 | [{"role": "user", "question": "As shown in the diagram, what is the volume of the cone in cm³?", "hint": "", "options": {"A": "16π", "B": "12π", "C": "25π", "D": "48π", "E": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cones | 2steps_271 | 2steps_2 | |
632 | [{"role": "user", "question": "As shown in the diagram, what is the volume of the cone in cm³?", "hint": "", "options": {"A": "6π", "B": "8π", "C": "18π", "D": "24π", "E": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cones | 2steps_272 | 2steps_2 | |
633 | [{"role": "user", "question": "As shown in the diagram, what is the degree measure of the central angle of this sector?", "hint": "", "options": {"A": "90°", "B": "60°", "C": "120°", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors | 2steps_273 | 2steps_2 | |
634 | [{"role": "user", "question": "As shown in the diagram, there are two cylindrical objects. What are their volumes respectively in cm³?", "hint": "", "options": {"A": "72π, 96π", "B": "80π, 90π", "C": "100π, 120π", "D": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cylinders | 2steps_274 | 2steps_2 | |
635 | [{"role": "user", "question": "As shown in the diagram, the cylinder below is formed by rotating a square about one of its edges as the axis. What is the relationship between the length of side AB and the length of side BC?", "hint": "", "options": {"A": "AB < BC", "B": "AB = BC", "C": "AB > BC", "D": "No correct answe... | B | mcq | Properties and Understanding of Squares | 2steps_275 | 2steps_2 | |
636 | [{"role": "user", "question": "A cylindrical object has its dimensions shown in the diagram. What is the area of its base in cm²?(π = 3.14)", "hint": "", "options": {"A": "3.14", "B": "12.56", "C": "78.5", "D": "No correct answer"}, "choices": []}] | B | mcq | Surface Area of Cylinders | 2steps_276 | 2steps_2 | |
637 | [{"role": "user", "question": "As shown in the diagram, what is the volume of the cylinder in cm³?", "hint": "", "options": {"A": "36π", "B": "72π", "C": "18π", "D": "24π", "E": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Cylinders | 2steps_277 | 2steps_2 | |
638 | [{"role": "user", "question": "As shown in the diagram, what is the volume of the cylinder in cm³?", "hint": "", "options": {"A": "64π", "B": "45π", "C": "36π", "D": "15π", "E": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Cylinders | 2steps_278 | 2steps_2 | |
639 | [{"role": "user", "question": "As shown in the diagram, the circumference of the base of a cylindrical drum is 5 cm. When the cylindrical drum rolls one complete revolution on the ground, the shape traced on the ground is a rectangle. What is the area of this rectangle in square centimeters?", "hint": "", "options": {"... | B | mcq | Area of Rectangles | 2steps_279 | 2steps_2 | |
64 | [{"role": "user", "question": "As shown in the diagram, there are two square stamps issued in the Year of the Rabbit, each with a side length of 3 cm. If these two stamps are combined side by side, the length and width of the resulting rectangle are respectively ( ) cm.", "hint": "", "options": {"A": "9, 3", "B": "3, 3... | C | mcq | Combining Plane Figures | 2steps_64 | 2steps_1 | |
640 | [{"role": "user", "question": "As shown in the diagram, a rectangle rotates around its 5cm side for one complete turn, forming a cylinder with a height of 5cm and a radius of 3cm. What is the surface area of the cylinder (in cm²)?(π = 3.14)", "hint": "", "options": {"A": "15", "B": "94.2", "C": "56.52", "D": "150.72", ... | D | mcq | Surface Area of Cylinders | 2steps_280 | 2steps_2 | |
641 | [{"role": "user", "question": "What is the surface area of a cylinder with a height of 4 cm and a base diameter of 4 cm?", "hint": "", "options": {"A": "8π", "B": "16π", "C": "24π", "D": "32π", "E": "No correct answer"}, "choices": []}] | C | mcq | Surface Area of Cylinders | 2steps_281 | 2steps_2 | |
642 | [{"role": "user", "question": "As shown in the diagram, quadrilateral ABCD is a rectangle. What is the relationship between line segment AD and BC?", "hint": "", "options": {"A": "=", "B": ">", "C": "<", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Rectangles | 2steps_282 | 2steps_2 | |
643 | [{"role": "user", "question": "As shown in the diagram, the area of the shaded part is ( ) dm².", "hint": "", "options": {"A": "15", "B": "21", "C": "35", "D": "50", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Rectangles | 2steps_283 | 2steps_2 | |
644 | [{"role": "user", "question": "The milk carton used for packaging in the store is a rectangular cuboid, and the left image shows the unfolded view of this carton. The volume of the carton is ( ) cubic centimeters.", "hint": "", "options": {"A": "Cannot be calculated", "B": "576", "C": "192", "D": "288", "E": "No cor... | C | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_284 | 2steps_2 | |
645 | [{"role": "user", "question": "The following image is an expanded view of a cuboid. By folding the expanded view, it can be formed into a cuboid. What is the volume of the cuboid in cubic centimeters (cm³)?", "hint": "", "options": {"A": "96", "B": "120", "C": "160", "D": "960", "E": "No correct answer"}, "choices": []... | A | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_285 | 2steps_2 | |
646 | [{"role": "user", "question": "The diagram shows the unfolded view of a rectangular box (unit: cm), which can be folded into the rectangular box on the right. What is the surface area of the rectangular box?", "hint": "", "options": {"A": "158", "B": "150", "C": "120", "D": "216", "E": "No correct answer"}, "choices": ... | B | mcq | Surface Area of Rectangular Cuboids | 2steps_286 | 2steps_2 | |
647 | [{"role": "user", "question": "The diagram shows the unfolded view of a rectangular box (unit: decimeters). The unfolded view can be folded into the rectangular box on the right. What is the surface area of the material used for the box (in square decimeters)?", "hint": "", "options": {"A": "40", "B": "44", "C": "64", ... | D | mcq | Surface Area of Rectangular Cuboids | 2steps_287 | 2steps_2 | |
648 | [{"role": "user", "question": "As shown in the diagram is an expanded view of a cuboid (unit: cm), which can be folded into the corresponding cuboid on the right. The volume of this cuboid is ( ) cubic centimeters.", "hint": "", "options": {"A": "180", "B": "216", "C": "288", "D": "864", "E": "No correct answer"}, "... | C | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_288 | 2steps_2 | |
649 | [{"role": "user", "question": "As shown in the diagram, a= 7, b=3, what is the area of the shaded part in the diagram?", "hint": "", "options": {"A": "15", "B": "21", "C": "35", "D": "50", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Rectangles | 2steps_289 | 2steps_2 | |
65 | [{"role": "user", "question": "As shown in the diagram, two right triangles can be combined to form either a rectangle or a parallelogram. Using the side of length ( ) cm as the common side for joining, the perimeter of the resulting shape is maximized. ", "hint": "", "options": {"A": "4", "B": "3", "C": "5", "D": "No... | B | mcq | Combining Plane Figures | 2steps_65 | 2steps_1 | |
650 | [{"role": "user", "question": "As shown in the diagram, a rectangular cardboard is cut from each of its four corners with a 1cm side square, and then folded into a rectangular box without a lid, with a height of 1cm. The volume of the resulting rectangular box is:", "hint": "", "options": {"A": "32", "B": "24", "C": "1... | D | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_290 | 2steps_2 | |
651 | [{"role": "user", "question": "As shown in the diagram, a rectangular piece of sheet metal has a section cut from each of its four corners and is then folded to form an open-top rectangular box. What is the area of the base of the box?", "hint": "", "options": {"A": "50 cm²", "B": "100 cm²", "C": "10 cm²", "D": "No cor... | A | mcq | Surface Area of Rectangular Cuboids | 2steps_291 | 2steps_2 | |
652 | [{"role": "user", "question": "As shown in the diagram, after folding it into a three-dimensional figure, the face opposite to face A is face D. The perimeter of face D is ( ) cm.", "hint": "", "options": {"A": "10", "B": "12", "C": "14", "D": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Rectangles | 2steps_292 | 2steps_2 | |
653 | [{"role": "user", "question": "Given the diameter and height of a cylindrical base as shown in the diagram, what is the volume of the cylinder?", "hint": "", "options": {"A": "3140π", "B": "1570π", "C": "12560π", "D": "6280π", "E": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cylinders | 2steps_293 | 2steps_2 | |
654 | [{"role": "user", "question": "As shown in the diagram, what is the volume of the cylinder in dm³?", "hint": "", "options": {"A": "9π", "B": "14.13π", "C": "56.52π", "D": "20.25π", "E": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cylinders | 2steps_294 | 2steps_2 | |
655 | [{"role": "user", "question": "As shown in the diagram, it is known that the base of the solid figure is circular and the lateral surface is rectangular. Which surface of it can be tiled?", "hint": "", "options": {"A": "Base", "B": "Side", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | B | mcq | Tessellation of Figures | 2steps_295 | 2steps_2 | |
656 | [{"role": "user", "question": "Given that the lateral surface of a cylinder unfolds into a square as shown in the diagram, with a base radius of 1cm, the surface area of this cylinder is ( ) square centimeters.(π = 3.14)", "hint": "", "options": {"A": "31.4", "B": "45.71", "C": "62.8", "D": "40", "E": "No correct answe... | B | mcq | Surface Area of Cylinders | 2steps_296 | 2steps_2 | |
657 | [{"role": "user", "question": "After sawing off a small cube with a volume of 8 cubic centimeters, the volume of the remaining part is:", "hint": "", "options": {"A": "400 cubic centimeters", "B": "8 cubic centimeters", "C": "392 cubic centimeters", "D": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_297 | 2steps_2 | |
658 | [{"role": "user", "question": "A small cube is placed in a rectangular container filled with water, causing the volume of the water in the container to rise. What is the side length of the small cube in cm?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Cubes | 2steps_298 | 2steps_2 | |
659 | [{"role": "user", "question": "A small cube is placed in a rectangular container filled with water, causing the volume of the water in the container to rise. What is the side length of the small cube in dm?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | A | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 2steps_299 | 2steps_2 | |
66 | [{"role": "user", "question": "The figure below is composed of two rectangles, each with a length of 6 cm and a width of 2 cm. What are the length and width (a, b) of the shaded part A?", "hint": "", "options": {"A": "4 cm, 6 cm", "B": "4 cm, 8 cm", "C": "4 cm, 2 cm", "D": "No correct answer"}, "choices": []}] | C | mcq | Combining Plane Figures | 2steps_66 | 2steps_1 | |
660 | [{"role": "user", "question": "The cuboid below is filled with water. If the water is poured into an empty cube container with an edge length of 20 cm, the height of the water surface is ( ) cm.", "hint": "", "options": {"A": "3", "B": "1.5", "C": "0.15", "D": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cubes | 2steps_300 | 2steps_2 | |
661 | [{"role": "user", "question": "As shown in the diagram, some math books are stacked into a rectangular cuboid shape, and then these books are evenly tilted. Their ( ).", "hint": "", "options": {"A": "Surface areas are equal", "B": "Surface areas are not equal", "C": "Cannot be determined", "D": "No correct answer"},... | B | mcq | Surface Area of Rectangular Cuboids | 2steps_301 | 2steps_2 | |
662 | [{"role": "user", "question": "As shown in the diagram, container A is empty, and the water depth in rectangular container B is 6.28 cm. If all the water from container B is poured into container A, and knowing that the volume of the water is 628 cm³, the water depth in container A will be ( ) cm. (Take π as 3.14)",... | B | mcq | Volume and Capacity of Cylinders | 2steps_302 | 2steps_2 | |
663 | [{"role": "user", "question": "Here is a cylindrical steel bar with a diameter of 6dm. The volume is shown in the diagram. What is the length of the steel bar in dm? (π is taken as 3.14)", "hint": "", "options": {"A": "7.5", "B": "10", "C": "15", "D": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Cylinders | 2steps_303 | 2steps_2 | |
664 | [{"role": "user", "question": "According to the diagram, which cylinder has a volume equal to 113.04 cm³?", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Cylinders | 2steps_304 | 2steps_2 | |
665 | [{"role": "user", "question": "According to the diagram, which cylinder has a volume equal to 113.04 cm³?", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "④", "E": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Cylinders | 2steps_305 | 2steps_2 | |
666 | [{"role": "user", "question": "Pour 72 cubic centimeters of water into the cubic container shown in the figure. The height of the water surface is ( ) cm.", "hint": "", "options": {"A": "2", "B": "3", "C": "4", "D": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cubes | 2steps_306 | 2steps_2 | |
667 | [{"role": "user", "question": "Spread the pile of sand shown in the diagram (with a given volume) on a road surface 10 meters wide at a thickness of 0.03 meters. How many meters can it cover?(π = 3.14)", "hint": "", "options": {"A": "2.826", "B": "282.6", "C": "62.8", "D": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_307 | 2steps_2 | |
668 | [{"role": "user", "question": "Xiao Ming wants to fill an irregularly shaped empty water trough. He uses a conical container, as shown, with a volume of 10 cubic centimeters to pour water. After pouring water 10 times, the trough is exactly full. What is the volume of the water trough?", "hint": "", "options": {"A": "1... | C | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 2steps_308 | 2steps_2 | |
669 | [{"role": "user", "question": "In a cylindrical container filled with water, there is an iron ball. After removing the iron ball, the volume of water in the container decreases by v1 as shown in the diagram. What is the volume of the iron ball (in liters)?(π = 3.14)", "hint": "", "options": {"A": "0.471", "B": "471", "... | A | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 2steps_309 | 2steps_2 | |
67 | [{"role": "user", "question": "As shown in the diagram, it is known that the quadrilateral ABEF is formed by joining two trapezoids ABCD. Compared to the original figures, the total perimeter decreased by 20 cm. What is the length of CD?", "hint": "", "options": {"A": "5 cm", "B": "10 cm", "C": "12 cm", "D": "20 cm", "... | B | mcq | Combining Plane Figures | 2steps_67 | 2steps_1 | |
670 | [{"role": "user", "question": "As shown in the diagram, a liquid with a volume of 2Sh is poured from a bottle into a conical cup, filling ( ) cups (The area of the bottle's base and the area of the conical cup's mouth are equal, both being S).", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No c... | D | mcq | Volume and Capacity of Cones | 2steps_310 | 2steps_2 | |
671 | [{"role": "user", "question": "As shown in the diagram, which cone has a volume equal to 72?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "No correct answer"}, "choices": []}] | A | mcq | Volume and Capacity of Cones | 2steps_311 | 2steps_2 | |
672 | [{"role": "user", "question": "As shown in the diagram, the diameter of the bottom of a glass container is 10 cm. It contains some water, in which a conical lead weight with a height of 6 cm is submerged. Given that the volume of the conical lead weight is 94.2 cm³, the base area of this conical lead weight is ( ) c... | A | mcq | Volume and Capacity of Cones | 2steps_312 | 2steps_2 | |
673 | [{"role": "user", "question": "From two cubic wooden blocks each with an edge length of 5 cm, small rectangular blocks each measuring 5 cm in length, 1 cm in width, and 1 cm in height are sawed off, resulting in two different shaped blocks, A and B. Which of the following statements is correct?", "hint": "", "options":... | B | mcq | Volume and Capacity of Cubes | 2steps_313 | 2steps_2 | |
674 | [{"role": "user", "question": "Using three identical small cubes to form a rectangular cuboid (as shown in the diagram), the surface area of the rectangular cuboid is ( ) square centimeters.", "hint": "", "options": {"A": "45", "B": "56", "C": "64", "D": "72", "E": "No correct answer"}, "choices": []}] | B | mcq | Surface Area of Rectangular Cuboids | 2steps_314 | 2steps_2 | |
675 | [{"role": "user", "question": "What is the surface area of this cube in square decimeters (dm²)?", "hint": "", "options": {"A": "216", "B": "21600", "C": "360", "D": "3600", "E": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Area Units | 2steps_315 | 2steps_2 | |
676 | [{"role": "user", "question": "As shown in the diagram, the volume of this rectangular cuboid is ( ).", "hint": "", "options": {"A": "3000 cubic centimeters", "B": "1500 cubic centimeters", "C": "6000 cubic centimeters", "D": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_316 | 2steps_2 | |
677 | [{"role": "user", "question": "As shown in the diagram, what is the surface area of the cylinder? (in square meters)", "hint": "", "options": {"A": "0.42π", "B": "0.24π", "C": "0.12π", "D": "0.09π", "E": "No correct answer"}, "choices": []}] | A | mcq | Conversion Rates and Calculations Between Area Units | 2steps_317 | 2steps_2 | |
678 | [{"role": "user", "question": "The diagram shows a cylindrical roller. The area covered by the roller after rolling 10 circles is equivalent to ( ) dm².(π = 3.14)", "hint": "", "options": {"A": "3.14", "B": "62.8", "C": "314", "D": "31.4", "E": "No correct answer"}, "choices": []}] | A | mcq | Conversion Rates and Calculations Between Area Units | 2steps_318 | 2steps_2 | |
679 | [{"role": "user", "question": "A rectangular cuboid has dimensions as shown in the diagram. What is its volume in cubic centimeters (cm³)?", "hint": "", "options": {"A": "10", "B": "18", "C": "24", "D": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_319 | 2steps_2 | |
68 | [{"role": "user", "question": "As shown in the diagram, the quadrilateral AFGE is composed of four identical small squares. If the total perimeter is reduced by 40 cm, then the side length of each small square is ( ) cm.", "hint": "", "options": {"A": "5", "B": "10", "C": "12", "D": "20", "E": "No correct answer"}, "ch... | A | mcq | Combining Plane Figures | 2steps_68 | 2steps_1 | |
680 | [{"role": "user", "question": "Given the dimensions of the rectangular cuboid as shown in the diagram, find the volume of the rectangular cuboid ( ).", "hint": "", "options": {"A": "90", "B": "100", "C": "120", "D": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_320 | 2steps_2 | |
681 | [{"role": "user", "question": "In the diagram, a rectangular box can fit 4, 3, and 3 small cubes along its length, width, and height respectively. What is the maximum number of such small cubes that the rectangular box can hold?", "hint": "", "options": {"A": "12", "B": "18", "C": "30", "D": "36", "E": "No correct answ... | D | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_321 | 2steps_2 | |
682 | [{"role": "user", "question": "If five cubic boxes are stacked in a corner as shown in the diagram, and 11 small square faces are exposed, then the total area of the exposed faces is ( ) cm².", "hint": "", "options": {"A": "126", "B": "117", "C": "108", "D": "99", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Squares | 2steps_322 | 2steps_2 | |
683 | [{"role": "user", "question": "In order to support the pandemic, Uncle Wang plans to donate 6 boxes of masks and stacks these boxes in the corner of a wall (as shown in the diagram). The outer packaging is a cubic box with an edge length of 10dm. Knowing that there are 12 surfaces exposed, what is the total area of the... | B | mcq | Area of Squares | 2steps_323 | 2steps_2 | |
684 | [{"role": "user", "question": "As shown in the diagram, a rectangular cuboid is composed of small cubes, each with an edge length of 2 cm. It is known that the surface area of this rectangular cuboid is made up of the faces of 52 small cubes. What is the surface area of this rectangular cuboid in square centimeters?", ... | B | mcq | Area of Squares | 2steps_324 | 2steps_2 | |
685 | [{"role": "user", "question": "As shown in the diagram, 5 cubic blocks are stacked in a corner. Each edge of the cube is 2 cm long. It is known that there are 10 surfaces exposed. What is the total area of these exposed surfaces in cm²?", "hint": "", "options": {"A": "36", "B": "40", "C": "44", "D": "48", "E": "No corr... | B | mcq | Area of Squares | 2steps_325 | 2steps_2 | |
686 | [{"role": "user", "question": "As shown in the diagram, 5 cubic blocks are stacked in a corner. Each edge of the cube is 4 dm long. It is known that there are 10 surfaces exposed. What is the total area of these exposed surfaces in dm²?", "hint": "", "options": {"A": "80", "B": "160", "C": "16000", "D": "114", "E": "No... | B | mcq | Area of Squares | 2steps_326 | 2steps_2 | |
687 | [{"role": "user", "question": "As shown in the diagram, it is known that the object is composed of 10 small cubes, each with an edge length of 1cm. What is the volume of the object?", "hint": "", "options": {"A": "7cm³", "B": "9cm³", "C": "10cm³", "D": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Cubes | 2steps_327 | 2steps_2 | |
688 | [{"role": "user", "question": "As shown in the diagram, the object is made up of 7 small cubes. What is its total volume in cubic meters?", "hint": "", "options": {"A": "56", "B": "56000", "C": "0.056", "D": "0.56", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 2steps_328 | 2steps_2 | |
689 | [{"role": "user", "question": "Xiaofang used a 2 square decimeter square paper to measure the area of her desk (as shown in the diagram). What is the area of Xiaofang's desk in square decimeters?", "hint": "", "options": {"A": "28 square decimeters", "B": "56 square decimeters", "C": "112 square decimeters", "D": "No c... | C | mcq | Area of Rectangles | 2steps_329 | 2steps_2 | |
69 | [{"role": "user", "question": "As shown in the diagram, the quadrilateral ABHG is composed of three identical right-angled trapezoids. If the total perimeter is reduced by 40 cm, then AB+CD equals ( ) cm.", "hint": "", "options": {"A": "5", "B": "10", "C": "12", "D": "20", "E": "No correct answer"}, "choices": []}] | D | mcq | Combining Plane Figures | 2steps_69 | 2steps_1 | |
690 | [{"role": "user", "question": "As shown in the diagram, Xiao Ming is 1 meter tall, and next to him is a cubic water tower approximately 3 meters high. Estimate the volume of this water tower.", "hint": "", "options": {"A": "64 cubic meters", "B": "27 cubic meters", "C": "16 cubic meters", "D": "8 cubic meters", "E": "N... | B | mcq | Volume and Capacity of Cubes | 2steps_330 | 2steps_2 | |
691 | [{"role": "user", "question": "As shown in the diagram, if the side lengths of the trapezoid are measured with a ruler, then ∠1 equals ( )°.", "hint": "", "options": {"A": "30", "B": "120", "C": "60", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Trapezoids | 2steps_331 | 2steps_2 | |
692 | [{"role": "user", "question": "As shown in the diagram, the length of the upper base of the trapezoid is measured with a ruler. What is the area of the trapezoid in square centimeters?", "hint": "", "options": {"A": "75", "B": "50", "C": "37.5", "D": "25", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Trapezoids | 2steps_332 | 2steps_2 |
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