id stringlengths 1 4 | media images listlengths 1 1 | messages stringlengths 167 667 | answer stringclasses 5
values | question_type stringclasses 1
value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
values |
|---|---|---|---|---|---|---|---|
963 | [{"role": "user", "question": "When using identical regular hexagons for tiling, 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 | Sum of Interior Angles of Other Polygons;Tessellation of Figures | 2steps_243 | 2steps_multi | |
964 | [{"role": "user", "question": "Can two regular octagons with the same side length and a square with the same side length as the octagons tile a plane without gaps?", "hint": "", "options": {"A": "Yes", "B": "No", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Other Polygons;Tessellation of Figures | 2steps_244 | 2steps_multi | |
965 | [{"role": "user", "question": "As shown in the diagram, six identical small squares are assembled into a rectangle, and then a piece is removed from the corner. Compared to the original rectangle, the perimeter of the remaining shape is ( ).", "hint": "", "options": {"A": "Increased", "B": "Decreased", "C": "The sam... | C | mcq | Observing Figures;Perimeter of Rectangles | 2steps_245 | 2steps_multi | |
966 | [{"role": "user", "question": "Lin Lin is measuring the area of a rectangle by arranging small squares as shown in the diagram. Assuming each small square has a side length of 1 centimeter, the area of the rectangle is ( ) square centimeters.", "hint": "", "options": {"A": "36", "B": "66", "C": "28", "D": "11", "E":... | B | mcq | Observing Figures;Area of Rectangles | 2steps_246 | 2steps_multi | |
967 | [{"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 | Observing Figures;Area of Rectangles | 2steps_247 | 2steps_multi | |
968 | [{"role": "user", "question": "Fangfang used 1 cm side length small squares to arrange the following pattern within a large square. The area of this large square is ( ) square centimeters.", "hint": "", "options": {"A": "36", "B": "30", "C": "24", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Observing Figures;Area of Squares | 2steps_248 | 2steps_multi | |
969 | [{"role": "user", "question": "In the diagram, there are 3 small circles in the ( ) direction of the pentagram.", "hint": "", "options": {"A": "Southeast", "B": "Southwest", "C": "Northwest", "D": "Northeast", "E": "No correct answer"}, "choices": []}] | C | mcq | Observing Figures;Southeast, Southwest, Northeast, Northwest Directions | 2steps_249 | 2steps_multi | |
97 | [{"role": "user", "question": "As shown in the diagram, shape B is shape A rotated 90° around point O ( ). ", "hint": "", "options": {"A": "Clockwise", "B": "Counterclockwise", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | B | mcq | Rotation | 2steps_97 | 2steps_1 | |
970 | [{"role": "user", "question": "As shown in the diagram, how should A travel via the square path to reach B? ()", "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 | Observing Figures;Describing Simple Routes Based on Direction and Distance | 2steps_250 | 2steps_multi | |
971 | [{"role": "user", "question": "As shown in the diagram, how should A travel to reach C via the rectangular path? ()", "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 no... | B | mcq | Observing Figures;Describing Simple Routes Based on Direction and Distance | 2steps_251 | 2steps_multi | |
972 | [{"role": "user", "question": "As shown in the diagram, the road is composed of several equilateral triangles. The correct description of the route from point A to point B is ( )", "hint": "", "options": {"A": "Walk 3m east, then 3m northeast", "B": "Walk 4m east, then 3m northeast", "C": "Walk 3m east, then 5m northea... | A | mcq | Observing Figures;Describing Simple Routes Based on Direction and Distance | 2steps_252 | 2steps_multi | |
973 | [{"role": "user", "question": "There is a square piece of sheet metal, from which a part is cut from each of its four corners, and it is folded into an open-top square box. What is the area of the base of the box?", "hint": "", "options": {"A": "5 cm²", "B": "1 cm²", "C": "2 cm²", "D": "No correct answer"}, "choices": ... | B | mcq | Expanded View of Cubes;Surface Area of Cubes | 2steps_253 | 2steps_multi | |
974 | [{"role": "user", "question": "As shown in the diagram, fold the figure below into a three-dimensional shape. What is its volume?", "hint": "", "options": {"A": "8 m³", "B": "16 m³", "C": "24 m³", "D": "No correct answer"}, "choices": []}] | A | mcq | Expanded View of Cubes;Volume and Capacity of Cubes | 2steps_254 | 2steps_multi | |
975 | [{"role": "user", "question": "As shown in the diagram, if the following expanded view can be folded into a cube, the edge length of the cube after folding is ( ) cm.", "hint": "", "options": {"A": "100", "B": "10", "C": "1", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Expanded View of Cubes;Conversion Rates and Calculations Between Length Units | 2steps_255 | 2steps_multi | |
976 | [{"role": "user", "question": "As shown in the diagram, in the cube below, the shortest path from A to B is ( )", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | C | mcq | Expanded View of Cubes;Distance Between Two Points | 2steps_256 | 2steps_multi | |
977 | [{"role": "user", "question": "Uncle Wang plans to build a cubic chicken coop in the corner of a wall. To construct this coop, using three frame bars made of 12 meters of steel (as shown in the diagram), at least how many square meters of plastic netting is needed?", "hint": "", "options": {"A": "48", "B": "64", "C": "... | A | mcq | Properties and Understanding of Cubes;Surface Area of Cubes | 2steps_257 | 2steps_multi | |
978 | [{"role": "user", "question": "As shown in the diagram, a three-dimensional frame is constructed using a wooden bar with a total length of 12 cm. What is the surface area of this three-dimensional figure in square centimeters?", "hint": "", "options": {"A": "6", "B": "12", "C": "18", "D": "No correct answer"}, "choices... | A | mcq | Properties and Understanding of Cubes;Surface Area of Cubes | 2steps_258 | 2steps_multi | |
979 | [{"role": "user", "question": "As shown in the diagram, can each face of the metal box below be tiled completely? ", "hint": "", "options": {"A": "No", "B": "Yes", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Cubes;Tessellation of Figures | 2steps_259 | 2steps_multi | |
98 | [{"role": "user", "question": "As shown in the diagram, figure 2 can be considered as obtained from figure 3 by ( ).", "hint": "", "options": {"A": "Rotating 90° counterclockwise around point O", "B": "Rotating 90° clockwise around point O", "C": "Moving two squares to the right from figure 3", "D": "No correct answer"... | B | mcq | Rotation | 2steps_98 | 2steps_1 | |
980 | [{"role": "user", "question": "As shown in the diagram, there is an isosceles trapezoid made from a piece of wire, with both the top and bottom bases known in length. This piece of wire can also be used to construct a frame for a cube as shown below. What is the length of the leg of this isosceles trapezoid in centimet... | C | mcq | Properties and Understanding of Cubes;Perimeter of Trapezoids | 2steps_260 | 2steps_multi | |
981 | [{"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. What is the height of the rectangular cuboid frame in centimeters?", "hint": "", "options": {"A": "4 cm", "B"... | C | mcq | Properties and Understanding of Cubes;Properties and Understanding of Rectangular Cuboids | 2steps_261 | 2steps_multi | |
982 | [{"role": "user", "question": "As shown in the diagram, there are two shapes representing the front and right side of a rectangular cuboid. The volume of this rectangular cuboid is ( ).", "hint": "", "options": {"A": "36 cubic centimeters", "B": "12 cubic centimeters", "C": "18 cubic centimeters", "D": "No correct a... | A | mcq | Properties and Understanding of Rectangular Cuboids;Volume and Capacity of Rectangular Cuboids | 2steps_262 | 2steps_multi | |
983 | [{"role": "user", "question": "As shown in the diagram, there are the front and right side views of a rectangular cuboid. What is the area of the base of this rectangular cuboid?", "hint": "", "options": {"A": "50 square centimeters", "B": "40 square centimeters", "C": "20 square centimeters", "D": "No correct answer"}... | A | mcq | Properties and Understanding of Rectangular Cuboids;Surface Area of Rectangular Cuboids | 2steps_263 | 2steps_multi | |
984 | [{"role": "user", "question": "There are three types of cardboard sheets labeled ①, ②, and ③ (with sufficient quantities available). Choose six sheets to construct a rectangular cuboid (excluding those with equal length, width, and height). The volume of this rectangular cuboid is ( ).", "hint": "", "options": {"A": "6... | C | mcq | Properties and Understanding of Rectangular Cuboids;Volume and Capacity of Rectangular Cuboids | 2steps_264 | 2steps_multi | |
985 | [{"role": "user", "question": "The length of the rectangular cuboid shown in the diagram is 12 cm, and its height is 8 cm. The combined area of the two shaded faces is 200 square centimeters. What is the volume of this rectangular cuboid?", "hint": "", "options": {"A": "1600 cubic centimeters", "B": "960 cubic centimet... | B | mcq | Properties and Understanding of Rectangular Cuboids;Volume and Capacity of Rectangular Cuboids | 2steps_265 | 2steps_multi | |
986 | [{"role": "user", "question": "In the figure below, the cuboid and the cube together have ________ faces. ( )", "hint": "", "options": {"A": "6", "B": "18", "C": "10", "D": "12", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Rectangular Cuboids;Properties and Understanding of Cubes | 2steps_266 | 2steps_multi | |
987 | [{"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 this rectangular frame in square centimeters?", "hint": "", "options": {"A": "6", "B": "10", "C": "12", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Rectangular Cuboids;Surface Area of Rectangular Cuboids | 2steps_267 | 2steps_multi | |
988 | [{"role": "user", "question": "As shown in the diagram, can each face of the tin box be tiled completely?", "hint": "", "options": {"A": "No, they cannot", "B": "Yes, they can", "C": "It is uncertain", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Rectangular Cuboids;Tessellation of Figures | 2steps_268 | 2steps_multi | |
989 | [{"role": "user", "question": "As shown in the diagram, the volume of the object formed by rotating a right triangle around side AB for one full turn is ( ) cm³.(π = 3.14)", "hint": "", "options": {"A": "6", "B": "3.14", "C": "37.68", "D": "12.56", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties of Cones;Volume and Capacity of Cones | 2steps_269 | 2steps_multi | |
99 | [{"role": "user", "question": "(As shown in the diagram) If point C is moved one grid to the left, the resulting point is ( )", "hint": "", "options": {"A": "E", "B": "F", "C": "G", "D": "No correct answer"}, "choices": []}] | A | mcq | Translation | 2steps_99 | 2steps_1 | |
990 | [{"role": "user", "question": "As shown in the diagram, rotating a right-angled triangle around each of its two perpendicular sides for one full turn results in a solid figure. The maximum volume of this solid figure is ( ).", "hint": "", "options": {"A": "12π", "B": "16π", "C": "9.6π", "D": "No correct answer"}, "choi... | B | mcq | Properties of Cones;Volume and Capacity of Cones | 2steps_270 | 2steps_multi | |
991 | [{"role": "user", "question": "What is the volume of the solid formed by rotating the right triangle ABC (as shown in the diagram) around the axis BC for one complete turn?", "hint": "", "options": {"A": "16π", "B": "12π", "C": "25π", "D": "48π", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties of Cones;Volume and Capacity of Cones | 2steps_271 | 2steps_multi | |
992 | [{"role": "user", "question": "As shown in the diagram, an isosceles triangle is rotated around the altitude from its base to form a solid. The volume of this solid is ( ) cubic centimeters.", "hint": "", "options": {"A": "6π", "B": "8π", "C": "18π", "D": "24π", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties of Cones;Volume and Capacity of Cones | 2steps_272 | 2steps_multi | |
993 | [{"role": "user", "question": "As shown in the diagram, a triangle rotates around its longer right-angle side to form a cone. What is the degree measure of the central angle of the sector formed when the lateral surface of this cone is unfolded?", "hint": "", "options": {"A": "90°", "B": "60°", "C": "120°", "D": "No co... | A | mcq | Properties of Cones;Understanding Sectors | 2steps_273 | 2steps_multi | |
994 | [{"role": "user", "question": "As shown in the diagram, two solid figures are formed by rotating a rectangle around the lines containing its length and width, respectively. Comparing their volumes, ( ).", "hint": "", "options": {"A": "The solid figure with a height of 8 cm has a larger volume", "B": "The solid figur... | B | mcq | Up-Down Position;Expanded View of Cubes | 2steps_274 | 2steps_multi | |
995 | [{"role": "user", "question": "As shown in the diagram, a solid figure is formed by rotating square ABCD around side AB. Which of the following descriptions of the solid figure formed is correct?", "hint": "", "options": {"A": "The diameter of its base and its height are equal", "B": "The radius of its base and its hei... | B | mcq | Southeast, Southwest, Northeast, Northwest Directions;Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_275 | 2steps_multi | |
996 | [{"role": "user", "question": "As shown in the diagram, a rectangle is rotated around line L to form a solid figure. The area of the base of this solid figure is ( ) cm².(π = 3.14)", "hint": "", "options": {"A": "3.14", "B": "12.56", "C": "78.5", "D": "No correct answer"}, "choices": []}] | B | mcq | Division of Plane Figures;Properties and Understanding of Rectangles | 2steps_276 | 2steps_multi | |
997 | [{"role": "user", "question": "As shown in the diagram, a rectangle has sides of 6 cm and 2 cm. If it is rotated around its shorter side to form a cylinder, the volume of the cylinder is ( ) cm³.", "hint": "", "options": {"A": "36π", "B": "72π", "C": "18π", "D": "24π", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties of Cylinders;Volume and Capacity of Cylinders | 2steps_277 | 2steps_multi | |
998 | [{"role": "user", "question": "As shown in the diagram, a rectangle has a length of 6cm and a width of 5cm. If it is rapidly rotated as shown in the diagram, the volume of the resulting solid figure is ( ).", "hint": "", "options": {"A": "64π", "B": "45π", "C": "36π", "D": "15π", "E": "No correct answer"}, "choices"... | B | mcq | Properties of Cylinders;Volume and Capacity of Cylinders | 2steps_278 | 2steps_multi | |
999 | [{"role": "user", "question": "As shown in the diagram, the circumference of the base of a cylindrical drum is 5 cm. What is the area covered by the cylindrical drum when it rolls one complete revolution on the ground? ", "hint": "", "options": {"A": "40 cm²", "B": "50 cm²", "C": "10 cm²", "D": "No correct answer"}, "... | B | mcq | Properties of Cylinders;Area of Rectangles | 2steps_279 | 2steps_multi |
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