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
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|---|---|---|---|---|---|---|---|
783 | [{"role": "user", "question": "Assemble the shapes below into a rectangle. What is the perimeter (in centimeters)?", "hint": "", "options": {"A": "40", "B": "36", "C": "32", "D": "No correct answer"}, "choices": []}] | C | mcq | Combining Plane Figures;Perimeter of Rectangles | 2steps_63 | 2steps_multi | |
784 | [{"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 joined together to form a rectangle, what is the perimeter of the resulting rectangle?", "hint": "", "options": {"A": "24 cm", "B": "21 cm", "C":... | C | mcq | Combining Plane Figures;Perimeter of Rectangles | 2steps_64 | 2steps_multi | |
785 | [{"role": "user", "question": "As shown in the diagram, two right-angled triangles can be combined to form either a rectangle or a parallelogram. The maximum perimeter of the resulting shape is ( ) cm.", "hint": "", "options": {"A": "20", "B": "16", "C": "18", "D": "No correct answer"}, "choices": []}] | C | mcq | Combining Plane Figures;Perimeter of Parallelograms | 2steps_65 | 2steps_multi | |
786 | [{"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 is the area of the shaded part in square centimeters?", "hint": "", "options": {"A": "12", "B": "16", "C": "18", "D": "20", "E": "No correct answer"}, "choices": []}] | B | mcq | Combining Plane Figures;Area of Rectangles | 2steps_66 | 2steps_multi | |
787 | [{"role": "user", "question": "As shown in the diagram, it is known that the quadrilateral ABEF is formed by joining two identical trapezoids ABCD. Compared to the original figures, the perimeter of the resulting figure has decreased by a total of 20 cm. What is the area of the quadrilateral ABCD in cm²?", "hint": "", ... | C | mcq | Combining Plane Figures;Area of Trapezoids | 2steps_67 | 2steps_multi | |
788 | [{"role": "user", "question": "As shown in the diagram, the quadrilateral AFGE is composed of four identical squares stitched together. If the total perimeter is reduced by 40 cm, what is the perimeter of square ABCD in cm?", "hint": "", "options": {"A": "5", "B": "10", "C": "12", "D": "20", "E": "No correct answer"}, ... | D | mcq | Combining Plane Figures;Perimeter of Squares | 2steps_68 | 2steps_multi | |
789 | [{"role": "user", "question": "As shown in the diagram, the quadrilateral ABHG is formed by joining three identical right-angled trapezoids, and its total perimeter is reduced by 40cm. What is the perimeter of the right-angled trapezoid ABCD in cm?", "hint": "", "options": {"A": "11", "B": "20", "C": "21", "D": "31", "... | D | mcq | Combining Plane Figures;Perimeter of Trapezoids | 2steps_69 | 2steps_multi | |
79 | [{"role": "user", "question": "As shown in the diagram, there is a circular cake, which is now cut into four parts along AB and CD. Compared to the original circumference of the cake, the new edge length added is 40cm. This 40cm is equivalent to the length of ( )?", "hint": "", "options": {"A": "4AB+4CD", "B": "AB+CD",... | C | mcq | Division of Plane Figures | 2steps_79 | 2steps_1 | |
790 | [{"role": "user", "question": "As shown in the diagram, two small rectangles are joined to form a larger rectangle. Compared to the original shapes, the perimeter has decreased by 20 cm. What is the width of the rectangle in meters?", "hint": "", "options": {"A": "10", "B": "1", "C": "0.1", "D": "0.01", "E": "No correc... | C | mcq | Combining Plane Figures;Conversion Rates and Calculations Between Length Units | 2steps_70 | 2steps_multi | |
791 | [{"role": "user", "question": "Given a rectangular sheet of paper (as shown in the diagram), if the largest possible square is cut from this sheet, the area of this square is ( ) square centimeters.", "hint": "", "options": {"A": "30", "B": "70", "C": "441", "D": "900", "E": "No correct answer"}, "choices": []}] | C | mcq | Division of Plane Figures;Area of Squares | 2steps_71 | 2steps_multi | |
792 | [{"role": "user", "question": "As shown in the diagram, after cutting a triangle from another triangle, there are ( ) angles remaining.", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "No correct answer"}, "choices": []}] | B | mcq | Division of Plane Figures;Understanding and Representing Angles | 2steps_72 | 2steps_multi | |
793 | [{"role": "user", "question": "A rectangle is cut into two identical squares (as shown in the diagram). The combined perimeter of these two squares is 6 centimeters more than the perimeter of the original rectangle. The perimeter of each square now is ( ) centimeters.", "hint": "", "options": {"A": "6", "B": "12", "... | B | mcq | Division of Plane Figures;Perimeter of Squares | 2steps_73 | 2steps_multi | |
794 | [{"role": "user", "question": "A rectangular piece of paper is 8 cm long and 5 cm wide. After cutting out the largest possible square from it, the perimeter of the remaining figure is ( ) cm.", "hint": "", "options": {"A": "22", "B": "20", "C": "16", "D": "No correct answer"}, "choices": []}] | C | mcq | Division of Plane Figures;Perimeter of Rectangles | 2steps_74 | 2steps_multi | |
795 | [{"role": "user", "question": "As shown in the diagram, there is a circular cake with a radius of 5 cm. Now, it is desired to divide it into four parts and package each part separately. Compared to the original circumference of the cake, the additional length added is ( ) cm.", "hint": "", "options": {"A": "5", "B": "1... | D | mcq | Division of Plane Figures;Understanding Circles | 2steps_75 | 2steps_multi | |
796 | [{"role": "user", "question": "As shown in the diagram, there is a rectangular cake measuring 5cm in length and 3cm in width. If it is divided into four parts along lines EF and GH, how many centimeters are added to the original perimeter of the cake?", "hint": "", "options": {"A": "5 cm", "B": "10 cm", "C": "16 cm", "... | C | mcq | Division of Plane Figures;Properties and Understanding of Rectangles | 2steps_76 | 2steps_multi | |
797 | [{"role": "user", "question": "As shown in the diagram, there is a sector-shaped cake with a radius of 5 cm. It is intended to be cut into four parts along OA, OB, and OC. Compared to the original circumference of the cake, the additional length of the edges is ( ) cm.", "hint": "", "options": {"A": "5", "B": "10", "C"... | D | mcq | Division of Plane Figures;Understanding Sectors | 2steps_77 | 2steps_multi | |
798 | [{"role": "user", "question": "As shown in the diagram, there is a rectangular cake. It is now cut into four parts along EF and GH. If the total new edge length added is 20cm compared to the original perimeter of the cake, what was the perimeter of the rectangular cake before cutting?", "hint": "", "options": {"A": "5 ... | C | mcq | Division of Plane Figures;Perimeter of Rectangles | 2steps_78 | 2steps_multi | |
799 | [{"role": "user", "question": "As shown in the diagram, there is a circular cake, which is now cut into four parts along AB and CD. If the new edge length added is 40cm, what was the original circumference of the circular cake in cm?", "hint": "", "options": {"A": "5π", "B": "10π", "C": "20π", "D": "40π", "E": "No corr... | B | mcq | Division of Plane Figures;Circumference of Circles | 2steps_79 | 2steps_multi | |
8 | [{"role": "user", "question": "As shown in the diagram, the radius of the circular iron sheet is 5cm. Its circumference is ( )(π = 3.14)", "hint": "", "options": {"A": "31.4", "B": "3.14", "C": "62.8", "D": "40", "E": "No correct answer"}, "choices": []}] | A | mcq | Circumference of Circles | 2steps_8 | 2steps_1 | |
80 | [{"role": "user", "question": "As shown in the diagram, there is a triangular cake with BC = 10 cm. Now, it is cut into two parts along AD, adding 10 cm to the original perimeter of the cake. This additional 10 cm is equivalent to the length of ( )?", "hint": "", "options": {"A": "4AD", "B": "AD", "C": "2AD", "D": "No ... | C | mcq | Division of Plane Figures | 2steps_80 | 2steps_1 | |
800 | [{"role": "user", "question": "As shown in the diagram, there is a triangular cake with BC = 10 cm. Now, it is cut into two parts along AD, adding 10 cm to the original perimeter of the cake. What was the area of the triangular cake before it was cut (in square centimeters)?", "hint": "", "options": {"A": "25", "B": "1... | A | mcq | Division of Plane Figures;Area of Triangles | 2steps_80 | 2steps_multi | |
801 | [{"role": "user", "question": "As shown in the diagram, after dividing the figure along the dashed line, are both resulting figures capable of tiling a plane? ()", "hint": "", "options": {"A": "Yes, both are capable of tiling a plane", "B": "No, one can tile a plane, the other cannot", "C": "Neither can tile a plane", ... | A | mcq | Division of Plane Figures;Tessellation of Figures | 2steps_81 | 2steps_multi | |
802 | [{"role": "user", "question": "A cylindrical piece of wood with a height of 5 decimeters is cut into two parts along a diameter perpendicular to the base (as shown in the diagram). As a result, the surface area increases by 60 square decimeters. What was the original surface area of the cylindrical piece of wood?", "hi... | B | mcq | Combining and Dividing Solids;Surface Area of Cylinders | 2steps_82 | 2steps_multi | |
803 | [{"role": "user", "question": "As shown in the diagram, a rectangular cuboid is cut into 4 smaller rectangular cuboids, resulting in an increase of 30 square decimeters in surface area. The volume of the original rectangular cuboid was ( ) cubic decimeters.", "hint": "", "options": {"A": "5", "B": "6", "C": "25", "D... | C | mcq | Combining and Dividing Solids;Volume and Capacity of Rectangular Cuboids | 2steps_83 | 2steps_multi | |
804 | [{"role": "user", "question": "If a rectangular block of wood as shown in the diagram is sawed into two cubes, how many more square centimeters of paint would be needed to cover the surface area than was originally needed?", "hint": "", "options": {"A": "25", "B": "50", "C": "100", "D": "125", "E": "No correct answer"}... | B | mcq | Combining and Dividing Solids;Surface Area of Cubes | 2steps_84 | 2steps_multi | |
805 | [{"role": "user", "question": "The figure shows a rectangular cuboid made from 6 small cubes. After assembly, its surface area decreased by 90 square centimeters. The surface area of one small cube is ( ) square centimeters.", "hint": "", "options": {"A": "90", "B": "54", "C": "108", "D": "No correct answer"}, "choi... | B | mcq | Combining and Dividing Solids;Surface Area of Cubes | 2steps_85 | 2steps_multi | |
806 | [{"role": "user", "question": "A cube with a surface area of 90 cm² is cut twice (as shown in the diagram), dividing it into several smaller rectangular solids. The total surface area of these smaller rectangular solids is increased by ( ) compared to the original cube's surface area.", "hint": "", "options": {"A": ... | C | mcq | Combining and Dividing Solids;Surface Area of Cubes | 2steps_86 | 2steps_multi | |
807 | [{"role": "user", "question": "Cut a rectangular cuboid (as shown in the diagram) into the largest possible cube. If a > b > h, then the total length of the edges of this cube is ( ).", "hint": "", "options": {"A": "12h", "B": "12b", "C": "12a", "D": "No correct answer"}, "choices": []}] | A | mcq | Combining and Dividing Solids;Properties and Understanding of Cubes | 2steps_87 | 2steps_multi | |
808 | [{"role": "user", "question": "If you cut the largest possible cube from a rectangular cuboid, what is the total length of the edges of this cube?", "hint": "", "options": {"A": "48 cm", "B": "72 cm", "C": "96 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Combining and Dividing Solids;Properties and Understanding of Cubes | 2steps_88 | 2steps_multi | |
809 | [{"role": "user", "question": "A rectangular cuboid with a length of 20 cm is cut into two sections along the cross-section shown in the diagram, resulting in an increase of 40 square cm in surface area. The original volume of the rectangular cuboid was ( ) cubic cm.", "hint": "", "options": {"A": "1600", "B": "800"... | C | mcq | Combining and Dividing Solids;Volume and Capacity of Rectangular Cuboids | 2steps_89 | 2steps_multi | |
81 | [{"role": "user", "question": "As shown in the diagram, the two shapes obtained by dividing the figure along the dashed line are ( ) and ( ).", "hint": "", "options": {"A": "Rectangle, Triangle", "B": "Trapezoid, Triangle", "C": "Square, Triangle", "D": "Trapezoid, Trapezoid", "E": "No correct answer"}, "choices": []}] | B | mcq | Division of Plane Figures | 2steps_81 | 2steps_1 | |
810 | [{"role": "user", "question": "As shown in the diagram, a rectangular block with a length of 4 cm, a width of 2 cm, and a height of 3 cm is cut into two smaller rectangular blocks using three different cutting methods labeled ①, ②, and ③. Among these three cutting methods, the surface area increases by the most by ( ... | D | mcq | Combining and Dividing Solids;Surface Area of Rectangular Cuboids | 2steps_90 | 2steps_multi | |
811 | [{"role": "user", "question": "The figure below is a rectangular prism. If it is cut into two identical rectangular prisms along one of the two cutting lines shown, the maximum increase in surface area is ( ) cm².", "hint": "", "options": {"A": "160", "B": "240", "C": "300", "D": "700", "E": "No correct answer"}, "choi... | B | mcq | Combining and Dividing Solids;Surface Area of Rectangular Cuboids | 2steps_91 | 2steps_multi | |
812 | [{"role": "user", "question": "As shown in the diagram, four identical small cylinders are combined to form a larger cylinder that is 40 cm long. The surface area is reduced by 169.56 cm² compared to the original total surface area of the small cylinders. The volume of each small cylinder is ( ) cm³.(π = 3.14)", "hi... | B | mcq | Combining and Dividing Solids;Volume and Capacity of Cylinders | 2steps_92 | 2steps_multi | |
813 | [{"role": "user", "question": "As shown in the diagram, a cylinder is cut in half from the middle, resulting in two solid figures whose total surface area is increased by 20 square centimeters compared to the original cylinder. What is the volume of the cylinder?", "hint": "", "options": {"A": "40 cm³", "B": "20 cm³", ... | A | mcq | Combining and Dividing Solids;Surface Area of Cylinders | 2steps_93 | 2steps_multi | |
814 | [{"role": "user", "question": "The area of the shaded part is ( ) square decimeters. (Take π as 3.14)", "hint": "", "options": {"A": "10.99", "B": "5.495", "C": "7.065", "D": "12.56", "E": "No correct answer"}, "choices": []}] | A | mcq | Rotation;Area of Circles | 2steps_94 | 2steps_multi | |
815 | [{"role": "user", "question": "As shown in the diagram, Figure ① ( ) to obtain Figure ②.", "hint": "", "options": {"A": "Rotate 90° counterclockwise around point P, then move 1 square to the left", "B": "Rotate 90° counterclockwise around point Q, then move 1 square to the left", "C": "Rotate 90° counterclockwise ar... | C | mcq | Rotation;Translation | 2steps_95 | 2steps_multi | |
816 | [{"role": "user", "question": "In the diagram below, by rotating around the endpoint O, how can you transform figure A into figure B? ( )", "hint": "", "options": {"A": "First rotate 90° clockwise, then move 10 units to the right", "B": "First rotate 90° counterclockwise, then move 10 units to the right", "C": "First r... | B | mcq | Rotation;Translation | 2steps_96 | 2steps_multi | |
817 | [{"role": "user", "question": "As shown in the diagram, shape B is obtained from shape A by rotating 90° around point O ( ) and then translating ( ) units to the right. ① clockwise ② counterclockwise ③ 5 ④ 6", "hint": "", "options": {"A": "①; ③", "B": "②; ③", "C": "②; ④", "D": "①; ④", "E": "No correct answer"}, "... | B | mcq | Rotation;Translation | 2steps_97 | 2steps_multi | |
818 | [{"role": "user", "question": "As shown in the diagram, the transformation from shape ③ to shape ① involves:", "hint": "", "options": {"A": "First rotating 90° counterclockwise around point O, then reflecting across line L", "B": "First rotating 90° clockwise around point O, then reflecting across line L", "C": "First ... | B | mcq | Rotation;Axial Symmetry | 2steps_98 | 2steps_multi | |
819 | [{"role": "user", "question": "(As shown in the diagram) If point C is moved one grid to the left, while the other three points remain stationary, the new quadrilateral formed is ( ).", "hint": "", "options": {"A": "Rectangle", "B": "Trapezoid", "C": "Parallelogram", "D": "Cannot be determined", "E": "No correct ans... | B | mcq | Translation;Properties and Understanding of Trapezoids | 2steps_99 | 2steps_multi | |
82 | [{"role": "user", "question": "A cylindrical piece of wood with a height of 5 dm is cut vertically along the diameter of the base into two parts (as shown in the diagram). As a result, the surface area increases by 60 square decimeters. What is the value of d? (d = ____ dm)", "hint": "", "options": {"A": "6", "B": "4",... | A | mcq | Combining and Dividing Solids | 2steps_82 | 2steps_1 | |
820 | [{"role": "user", "question": "In the diagram below, both squares have a side length of 5dm. What is the area of the shaded region?", "hint": "", "options": {"A": "10dm²", "B": "15dm²", "C": "20dm²", "D": "25dm²", "E": "No correct answer"}, "choices": []}] | D | mcq | Translation;Area of Squares | 2steps_100 | 2steps_multi | |
821 | [{"role": "user", "question": "The figure below consists of two squares, each with a side length of 5 cm. What is the area of the shaded part in the figure (in cm²)?", "hint": "", "options": {"A": "25", "B": "20", "C": "10", "D": "No correct answer"}, "choices": []}] | A | mcq | Translation;Area of Squares | 2steps_101 | 2steps_multi | |
822 | [{"role": "user", "question": "In the diagram, shape A is transformed into shape B. Which of the following descriptions is incorrect?", "hint": "", "options": {"A": "Shape A is first moved 4 units to the right, then 2 units down, and then reflected across the line where the diameter is located to obtain shape B", "B": ... | C | mcq | Translation;Axial Symmetry | 2steps_102 | 2steps_multi | |
823 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is first translated 4 units to the right and then 3 units upward. The position of vertex A after the translation, represented as a coordinate pair, is ( ).", "hint": "", "options": {"A": "(5, 4)", "B": "(8, 5)", "C": "(7, 7)", "D": "No correct answ... | C | mcq | Translation;Representing Positions Using Ordered Pairs | 2steps_103 | 2steps_multi | |
824 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is translated downward by 2 units to obtain triangle A'B'C'. What is the position of point A' expressed as a coordinate pair?", "hint": "", "options": {"A": "(3,2)", "B": "(5,2)", "C": "(2,5)", "D": "(2,3)", "E": "No correct answer"}, "choices": []}] | D | mcq | Translation;Representing Positions Using Ordered Pairs | 2steps_104 | 2steps_multi | |
825 | [{"role": "user", "question": "As shown in the diagram, shape B is transformed into shape C by:", "hint": "", "options": {"A": "First rotating 90° clockwise around point O, then moving 6 units to the right", "B": "First rotating 90° clockwise around point O, then moving 3 units to the right", "C": "First rotating 90° c... | B | mcq | Translation;Rotation | 2steps_105 | 2steps_multi | |
826 | [{"role": "user", "question": "After rotating figure A clockwise around the center by 90 degrees and then translating it downward by 4 units, which figure is obtained?", "hint": "", "options": {"A": "B", "B": "C", "C": "D", "D": "No correct answer"}, "choices": []}] | B | mcq | Translation;Rotation | 2steps_106 | 2steps_multi | |
827 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is translated upwards by 3 units and then rotated 90° counterclockwise around point A. The resulting triangle is a ( ).", "hint": "", "options": {"A": "Right triangle", "B": "Acute triangle", "C": "Obtuse triangle", "D": "Isosceles triangle", "E": ... | C | mcq | Translation;Properties and Understanding of Triangles | 2steps_107 | 2steps_multi | |
828 | [{"role": "user", "question": "Move and calculate, what is the area of the shaded part in the figure below?", "hint": "", "options": {"A": "5 cm²", "B": "6 cm²", "C": "8 cm²", "D": "No correct answer"}, "choices": []}] | B | mcq | Translation;Area of Rectangles | 2steps_108 | 2steps_multi | |
829 | [{"role": "user", "question": "In the diagram, quadrilateral ABCD has all horizontal line segments parallel to each other, and all other line segments are also parallel to each other. If AB + AD = 7, then the length of the polyline (composed of all the bold black line segments) in the diagram is ( ).", "hint": "", "opt... | B | mcq | Translation;Properties and Understanding of Parallelograms | 2steps_109 | 2steps_multi | |
83 | [{"role": "user", "question": "As shown in the diagram, after a rectangular cuboid is cut into 4 smaller rectangular cuboids, the surface area increases by 30 square decimeters. This increase corresponds to the area of () faces.", "hint": "", "options": {"A": "5", "B": "6", "C": "7", "D": "8", "E": "No correct answer"}... | B | mcq | Combining and Dividing Solids | 2steps_83 | 2steps_1 | |
830 | [{"role": "user", "question": "The figure below is composed of two squares, each with a side length of 2dm. What is the area of the shaded part in dm²?", "hint": "", "options": {"A": "8", "B": "6", "C": "4", "D": "2", "E": "No correct answer"}, "choices": []}] | C | mcq | Translation;Area of Squares | 2steps_110 | 2steps_multi | |
831 | [{"role": "user", "question": "In the diagram, the area of the shaded part is ( ) cm².", "hint": "", "options": {"A": "16", "B": "17", "C": "18", "D": "19", "E": "No correct answer"}, "choices": []}] | A | mcq | Translation;Area of Parallelograms | 2steps_111 | 2steps_multi | |
832 | [{"role": "user", "question": "As shown in the diagram, six small squares form a shape, where the position of small square A is represented by the coordinate pair (5,4). To make this shape symmetrical about an axis, small square A needs to be moved to another position. Which of the following positions is incorrect?", "... | A | mcq | Axial Symmetry;Representing Positions Using Ordered Pairs | 2steps_112 | 2steps_multi | |
833 | [{"role": "user", "question": "Reflect shape ABCD across line BC to create a symmetrical shape. What is the total perimeter of the new shape formed together with the original shape?", "hint": "", "options": {"A": "12 cm", "B": "18 cm", "C": "10 cm", "D": "22 cm", "E": "No correct answer"}, "choices": []}] | A | mcq | Axial Symmetry;Perimeter of Rectangles | 2steps_113 | 2steps_multi | |
834 | [{"role": "user", "question": "As shown in the diagram, a symmetrical figure of shape ABC is formed using BC as the axis of symmetry. The perimeter of the parallelogram formed by the original figure and its symmetrical figure is () cm.", "hint": "", "options": {"A": "9", "B": "12", "C": "15", "D": "18", "E": "No correc... | B | mcq | Axial Symmetry;Perimeter of Parallelograms | 2steps_114 | 2steps_multi | |
835 | [{"role": "user", "question": "As shown in the diagram, AD is the axis of symmetry for triangle ABC. What is the perimeter of triangle ABC in cm?", "hint": "", "options": {"A": "12", "B": "10", "C": "14", "D": "16", "E": "No correct answer"}, "choices": []}] | D | mcq | Axial Symmetry;Perimeter of Triangles | 2steps_115 | 2steps_multi | |
836 | [{"role": "user", "question": "As shown in the diagram, HG is the axis of symmetry for trapezoid ABCD. What is the perimeter of the trapezoid in centimeters?", "hint": "", "options": {"A": "26", "B": "24", "C": "20", "D": "18", "E": "No correct answer"}, "choices": []}] | B | mcq | Axial Symmetry;Perimeter of Trapezoids | 2steps_116 | 2steps_multi | |
837 | [{"role": "user", "question": "In the diagram, HG is the axis of symmetry for quadrilateral ABCD. What shape is quadrilateral ABCD? ()", "hint": "", "options": {"A": "Square", "B": "Rectangle", "C": "Isosceles trapezoid", "D": "Right trapezoid", "E": "No correct answer"}, "choices": []}] | C | mcq | Axial Symmetry;Properties and Understanding of Trapezoids | 2steps_117 | 2steps_multi | |
838 | [{"role": "user", "question": "As shown in the diagram, EF is the axis of symmetry for quadrilateral ABCD. Given that CD = 5 cm and AD = 3 cm, what is the perimeter of parallelogram ABFD in cm?", "hint": "", "options": {"A": "12", "B": "10", "C": "14", "D": "16", "E": "No correct answer"}, "choices": []}] | D | mcq | Axial Symmetry;Perimeter of Parallelograms | 2steps_118 | 2steps_multi | |
839 | [{"role": "user", "question": "As shown in the diagram, a 4m wide path is laid around the perimeter of a semicircular lawn. What is the area of the path in square meters? The correct formula to calculate this is ( ).", "hint": "", "options": {"A": "3.14 × (24^2 - 20^2) ÷ 2", "B": "3.14 × (24^2 - 20^2)", "C": "3.14 ×... | A | mcq | Understanding Circles;Area of Circles | 2steps_119 | 2steps_multi | |
84 | [{"role": "user", "question": "If the rectangular block of wood shown in the diagram is sawed into two cubes, the increase in surface area is equivalent to the surface area of ( ) small squares.", "hint": "", "options": {"A": "2", "B": "3", "C": "4", "D": "No correct answer"}, "choices": []}] | A | mcq | Combining and Dividing Solids | 2steps_84 | 2steps_1 | |
840 | [{"role": "user", "question": "Two small circles with equal radii are arranged in a rectangle as shown in the diagram. If the width of the rectangle is 2 cm, what is its perimeter in centimeters?", "hint": "", "options": {"A": "Cannot be calculated", "B": "8", "C": "10", "D": "12", "E": "No correct answer"}, "choices":... | D | mcq | Understanding Circles;Perimeter of Rectangles | 2steps_120 | 2steps_multi | |
841 | [{"role": "user", "question": "As shown in the diagram, a rectangle contains 2.5 circles with the same diameter. It is known that the length of the rectangle is 10 cm, and its width is ( ) cm.", "hint": "", "options": {"A": "2.5", "B": "2", "C": "6", "D": "4", "E": "No correct answer"}, "choices": []}] | D | mcq | Understanding Circles;Properties and Understanding of Rectangles | 2steps_121 | 2steps_multi | |
842 | [{"role": "user", "question": "When using a compass to draw line segments, the total length of all line segments in the right-side diagram is ( ) cm.", "hint": "", "options": {"A": "20", "B": "16", "C": "10", "D": "5", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Circles;Understanding Line Segments, Lines, and Rays | 2steps_122 | 2steps_multi | |
843 | [{"role": "user", "question": "As shown in the diagram, C and D are the centers of two circles, and A and B are points on the two circles respectively. It is known that AB = 12 cm. What is the circumference of circle C? (π = 3.14)", "hint": "", "options": {"A": "12 cm", "B": "25.12 cm", "C": "31.4 cm", "D": "62.8 cm", ... | B | mcq | Understanding Circles;Circumference of Circles | 2steps_123 | 2steps_multi | |
844 | [{"role": "user", "question": "As shown in the diagram, a circular frame is made from a segment of wire. If the segment CD is cut from the wire and used to form a cube frame, what is the edge length of this cube frame in cm?", "hint": "", "options": {"A": "4", "B": "5", "C": "1", "D": "No correct answer"}, "choices": [... | C | mcq | Understanding Circles;Properties and Understanding of Cubes | 2steps_124 | 2steps_multi | |
845 | [{"role": "user", "question": "The white area in the diagram is composed of 4 identical sectors. Its area is ( ).", "hint": "", "options": {"A": "π", "B": "3π", "C": "9π", "D": "36π", "E": "No correct answer"}, "choices": []}] | C | mcq | Understanding Sectors;Area of Circles | 2steps_125 | 2steps_multi | |
846 | [{"role": "user", "question": "As shown in the diagram, identify the sector among the shaded areas and calculate the area of the sector ( ) square centimeters.", "hint": "", "options": {"A": "π", "B": "2π", "C": "16π", "D": "4π", "E": "No correct answer"}, "choices": []}] | D | mcq | Understanding Sectors;Area of Sectors | 2steps_126 | 2steps_multi | |
847 | [{"role": "user", "question": "As shown in the diagram, among the shaded figures below, only one is a sector. Its radius is ( ) m.", "hint": "", "options": {"A": "0.07", "B": "0.4", "C": "0.04", "D": "0.03", "E": "No correct answer"}, "choices": []}] | C | mcq | Understanding Sectors;Conversion Rates and Calculations Between Length Units | 2steps_127 | 2steps_multi | |
848 | [{"role": "user", "question": "As shown in the diagram, quadrilateral ABCD is a parallelogram. A circle with center A has a circumference of 36 cm, and the arc length EF is 6 cm. From this, it can be inferred that angle ∠C is ( )°.", "hint": "", "options": {"A": "30°", "B": "60°", "C": "90°", "D": "45°", "E": "No corre... | B | mcq | Understanding Sectors;Properties and Understanding of Parallelograms | 2steps_128 | 2steps_multi | |
849 | [{"role": "user", "question": "As shown in the diagram, if line l1 is parallel to line l2, then AB equals ( ) cm?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors;Parallel | 2steps_129 | 2steps_multi | |
85 | [{"role": "user", "question": "As shown in the diagram, a rectangular cuboid is formed by combining 6 small cubes. After combining, its surface area is reduced by 90 square centimeters, which means it is reduced by ( ) faces.", "hint": "", "options": {"A": "9", "B": "5", "C": "10", "D": "No correct answer"}, "choices":... | C | mcq | Combining and Dividing Solids | 2steps_85 | 2steps_1 | |
850 | [{"role": "user", "question": "As shown in the diagram, there is a sector and a rectangle. The length of the rectangle is equal to the arc length of the sector, and the width of the rectangle is equal to the radius of the sector. Using the width of the rectangle as the height, a cylindrical surface without top and bott... | A | mcq | Understanding Sectors;Surface Area of Cylinders | 2steps_130 | 2steps_multi | |
851 | [{"role": "user", "question": "As shown in the diagram, there is a sector. What is the area of this sector?", "hint": "", "options": {"A": "4π", "B": "2π", "C": "8π", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors;Area of Sectors | 2steps_131 | 2steps_multi | |
852 | [{"role": "user", "question": "As shown in the diagram, a sector is rolled into a cone. What is the area of the base of this cone?", "hint": "", "options": {"A": "π", "B": "4π", "C": "8π", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors;Properties of Cones | 2steps_132 | 2steps_multi | |
853 | [{"role": "user", "question": "As shown in the diagram, the shortest segment from point A to line segment BC is ( ).", "hint": "", "options": {"A": "Segment AC", "B": "Segment AF", "C": "Segment AE", "D": "No correct answer"}, "choices": []}] | C | mcq | perpendicularity;Distance Between Two Points | 2steps_133 | 2steps_multi | |
854 | [{"role": "user", "question": "As shown in the diagram, which of the following three line segments is the shortest?", "hint": "", "options": {"A": "AB", "B": "AC", "C": "AD", "D": "No correct answer"}, "choices": []}] | A | mcq | perpendicularity;Distance Between Two Points | 2steps_134 | 2steps_multi | |
855 | [{"role": "user", "question": "As shown in the diagram, the distance from point C to line AB is ( ) cm.", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "No correct answer"}, "choices": []}] | A | mcq | perpendicularity;Distance Between Two Points | 2steps_135 | 2steps_multi | |
856 | [{"role": "user", "question": "As shown in the diagram, how should segment OB be manipulated, OB is perpendicular to OA. ", "hint": "", "options": {"A": "Rotate 90° clockwise", "B": "Rotate 45° counterclockwise", "C": "Rotate 90° counterclockwise", "D": "Rotate 45° clockwise", "E": "No correct answer"}, "choices": []}... | B | mcq | perpendicularity;Rotation | 2steps_136 | 2steps_multi | |
857 | [{"role": "user", "question": "As shown in the diagram, there is a parallelogram-shaped pool. Joe wants to swim from point E on side A to side B. What is the shortest distance he must swim in terms of the parallelogram's dimensions?", "hint": "", "options": {"A": "Side A", "B": "Side C", "C": "Height", "D": "No correct... | C | mcq | perpendicularity;Properties and Understanding of Parallelograms | 2steps_137 | 2steps_multi | |
858 | [{"role": "user", "question": "There is a trapezoidal pool, and Joe wants to swim from point E on side A to side B. What is the shortest distance he needs to swim in the trapezoid?", "hint": "", "options": {"A": "Side A", "B": "Side C", "C": "Height", "D": "No correct answer"}, "choices": []}] | C | mcq | perpendicularity;Properties and Understanding of Trapezoids | 2steps_138 | 2steps_multi | |
859 | [{"role": "user", "question": "As shown in the diagram, two triangular boards are arranged to form a shape. Are AB and BD perpendicular?", "hint": "", "options": {"A": "Yes", "B": "No", "C": "Cannot determine", "D": "No correct answer"}, "choices": []}] | A | mcq | perpendicularity;Understanding Triangular Rulers | 2steps_139 | 2steps_multi | |
86 | [{"role": "user", "question": "A cube with a surface area of 90 cm² is cut twice (as shown in the diagram), dividing it into several smaller rectangular solids. The surface area increased by the area of ( ) small squares.", "hint": "", "options": {"A": "4", "B": "5", "C": "3", "D": "No correct answer"}, "choices": []}] | A | mcq | Combining and Dividing Solids | 2steps_86 | 2steps_1 | |
860 | [{"role": "user", "question": "As shown in the diagram, to get from point A to point B and you must pass through a vertical corner, which route should you take?", "hint": "", "options": {"A": "First walk 3m in the southwest direction, then walk 3m in the northeast direction", "B": "First walk 3m in the northeast direct... | C | mcq | perpendicularity;Describing Simple Routes Based on Direction and Distance | 2steps_140 | 2steps_multi | |
861 | [{"role": "user", "question": "How many triangles are there in total in the diagram?", "hint": "", "options": {"A": "1", "B": "6", "C": "7", "D": "8", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Line Segments, Lines, and Rays;Properties and Understanding of Triangles | 2steps_141 | 2steps_multi | |
862 | [{"role": "user", "question": "How many triangles are there in total in the diagram?", "hint": "", "options": {"A": "7", "B": "9", "C": "8", "D": "10", "E": "No correct answer"}, "choices": []}] | D | mcq | Understanding Line Segments, Lines, and Rays;Properties and Understanding of Triangles | 2steps_142 | 2steps_multi | |
863 | [{"role": "user", "question": "As shown in the diagram, only one of the figures is a line segment. What is the length of this line segment in centimeters?", "hint": "", "options": {"A": "4", "B": "8", "C": "2", "D": "3", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Line Segments, Lines, and Rays;Understanding Length (Using a Ruler) | 2steps_143 | 2steps_multi | |
864 | [{"role": "user", "question": "According to the diagram, the length of the line segment that cannot be extended indefinitely is ( ) cm.", "hint": "", "options": {"A": "4", "B": "300", "C": "400", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | C | mcq | Understanding Line Segments, Lines, and Rays;Conversion Rates and Calculations Between Length Units | 2steps_144 | 2steps_multi | |
865 | [{"role": "user", "question": "The direction of the ray in the diagram is ( )", "hint": "", "options": {"A": "Due South", "B": "45° North by West", "C": "45° East by South", "D": "45° East by North", "E": "No correct answer"}, "choices": []}] | D | mcq | Understanding Line Segments, Lines, and Rays;Describing Simple Routes Based on Direction and Distance | 2steps_145 | 2steps_multi | |
866 | [{"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? What is the degree of the largest angle formed by these rays?", "hint": "", "options": {"A": "6, 150°", "B": "8, 120°", "C": "2, 20°", "D": "No correct answer"}, "cho... | A | mcq | Understanding Line Segments, Lines, and Rays;Calculation and Comparison of Angles | 2steps_146 | 2steps_multi | |
867 | [{"role": "user", "question": "As shown in the diagram, to reach line l from point O in the shortest distance, one should ( )", "hint": "", "options": {"A": "Walk along OC in the due north direction", "B": "Walk along OB in the north by east direction", "C": "Walk along OA in the east by north direction", "D": "No corr... | A | mcq | Distance Between Two Points;Cardinal Directions (East, South, West, North) | 2steps_147 | 2steps_multi | |
868 | [{"role": "user", "question": "As shown in the diagram, the shortest distance from point A to point B is 5 cm. What is the perimeter of square ABCD in cm?", "hint": "", "options": {"A": "12", "B": "10", "C": "14", "D": "20", "E": "No correct answer"}, "choices": []}] | D | mcq | Distance Between Two Points;Perimeter of Squares | 2steps_148 | 2steps_multi | |
869 | [{"role": "user", "question": "As shown in the diagram, the line connecting two points A and B on a circle passes through the center of the circle, and the shortest distance from A to B is 5 cm. What is the radius of the circle?", "hint": "", "options": {"A": "2.5 cm", "B": "5 cm", "C": "10 cm", "D": "Cannot be determi... | A | mcq | Distance Between Two Points;Understanding Circles | 2steps_149 | 2steps_multi | |
87 | [{"role": "user", "question": "Cut a rectangular cuboid (as shown in the diagram) into the largest possible cube. If a > b > h, then the edge length of this cube is ()", "hint": "", "options": {"A": "a", "B": "b", "C": "h", "D": "No correct answer"}, "choices": []}] | C | mcq | Combining and Dividing Solids | 2steps_87 | 2steps_1 | |
870 | [{"role": "user", "question": "As shown in the diagram, the line connecting two points A and B on a circle passes through the center of the circle, and the shortest distance from A to B is 5 cm. What is the circumference of the circle? ( ) cm", "hint": "", "options": {"A": "5π", "B": "4π", "C": "3π", "D": "Cannot be de... | A | mcq | Distance Between Two Points;Circumference of Circles | 2steps_150 | 2steps_multi | |
871 | [{"role": "user", "question": "There are three paths from point M to point N, one of which is the shortest. This path is () km long.", "hint": "", "options": {"A": "100", "B": "120", "C": "0.1", "D": "0.12", "E": "No correct answer"}, "choices": []}] | C | mcq | Distance Between Two Points;Conversion Rates and Calculations Between Length Units | 2steps_151 | 2steps_multi | |
872 | [{"role": "user", "question": "As shown in the diagram, if the shortest path from O to D is 5 cm, then OC equals ( ) cm.", "hint": "", "options": {"A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm", "E": "No correct answer"}, "choices": []}] | C | mcq | Distance Between Two Points;Properties and Understanding of Rectangles | 2steps_152 | 2steps_multi |
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