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 |
|---|---|---|---|---|---|---|---|
422 | [{"role": "user", "question": "As shown in the diagram, the sum of the interior angles of shape ① is ( )", "hint": "", "options": {"A": "180°", "B": "360°", "C": "480°", "D": "720°", "E": "No correct answer"}, "choices": []}] | D | mcq | Sum of Interior Angles of Other Polygons | 2steps_62 | 2steps_2 | |
423 | [{"role": "user", "question": "The perimeter of the rectangle below is ( ) centimeters.", "hint": "", "options": {"A": "40", "B": "36", "C": "32", "D": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Rectangles | 2steps_63 | 2steps_2 | |
424 | [{"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 placed together side by side, the perimeter of the resulting rectangle is ( ).", "hint": "", "options": {"A": "24 cm", "B": "21 cm", "C": "18 ... | C | mcq | Perimeter of Rectangles | 2steps_64 | 2steps_2 | |
425 | [{"role": "user", "question": "As shown in the diagram, two right-angled triangles can be combined to form either a rectangle or a parallelogram, using the shortest side of 3 cm as the common side. The perimeter of the resulting shape is ( ) cm.", "hint": "", "options": {"A": "20", "B": "16", "C": "18", "D": "No cor... | C | mcq | Perimeter of Parallelograms | 2steps_65 | 2steps_2 | |
426 | [{"role": "user", "question": "The figure below is composed of two rectangles, each with a length of 6 cm and a width of 2 cm. The shaded area has side lengths a and b as shown in the diagram. What is the area of the shaded part in square centimeters?", "hint": "", "options": {"A": "12", "B": "16", "C": "18", "D": "20"... | B | mcq | Area of Rectangles | 2steps_66 | 2steps_2 | |
427 | [{"role": "user", "question": "As shown in the diagram, it is known that the quadrilateral ABEF is formed by joining two trapezoids ABCD together. Compared to the original figures, the perimeter has decreased by a total of 20 cm. If CD = 10 cm, then the area of quadrilateral ABCD is ( ) cm²?", "hint": "", "options": {"... | C | mcq | Area of Trapezoids | 2steps_67 | 2steps_2 | |
428 | [{"role": "user", "question": "As shown in the diagram, what is the perimeter of square ABCD in cm?", "hint": "", "options": {"A": "5", "B": "10", "C": "12", "D": "20", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Squares | 2steps_68 | 2steps_2 | |
429 | [{"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. Given that AB+CD=20cm, find the perimeter of the right-angled trapezoid ABCD ( ) cm.", "hint": "", "options": {"A": "11", "B": "20", "C... | D | mcq | Perimeter of Trapezoids | 2steps_69 | 2steps_2 | |
43 | [{"role": "user", "question": "As shown in the diagram, B is located 40° north by east of A, and C is located 60° south by east of B. What are the measures of ∠2 and ∠3?", "hint": "", "options": {"A": "40°, 90°", "B": "40°, 60°", "C": "40°, 50°", "D": "40°, 50°", "E": "No correct answer"}, "choices": []}] | B | mcq | Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_43 | 2steps_1 | |
430 | [{"role": "user", "question": "In the diagram, the width of the rectangle is ( ) m.", "hint": "", "options": {"A": "10", "B": "1", "C": "0.1", "D": "0.01", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Length Units | 2steps_70 | 2steps_2 | |
431 | [{"role": "user", "question": "What is the area of the square shown in the diagram (in cm²)?", "hint": "", "options": {"A": "410", "B": "198", "C": "441", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Squares | 2steps_71 | 2steps_2 | |
432 | [{"role": "user", "question": "There is a trapezoid as shown in the diagram. How many angles does this figure have?", "hint": "", "options": {"A": "2", "B": "3", "C": "4", "D": "No correct answer"}, "choices": []}] | C | mcq | Understanding and Representing Angles | 2steps_72 | 2steps_2 | |
433 | [{"role": "user", "question": "If a rectangle is cut into two identical squares (as shown in the diagram), then the perimeter of each smaller square is ( ) centimeters.", "hint": "", "options": {"A": "6", "B": "12", "C": "18", "D": "24", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Squares | 2steps_73 | 2steps_2 | |
434 | [{"role": "user", "question": "As shown in the diagram, the perimeter of the rectangular paper is ( ) cm.", "hint": "", "options": {"A": "22", "B": "20", "C": "16", "D": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Rectangles | 2steps_74 | 2steps_2 | |
435 | [{"role": "user", "question": "As shown in the diagram, there is a circular cake with a radius of 5 cm. It is divided into four parts. Compared to the original circumference of the cake, the additional edge length is 2AB+2CD. What is its length in cm?", "hint": "", "options": {"A": "5", "B": "10", "C": "20", "D": "40",... | D | mcq | Understanding Circles | 2steps_75 | 2steps_2 | |
436 | [{"role": "user", "question": "As shown in the diagram, there is a rectangular cake measuring 5cm in length and 3cm in width. It is intended to be divided into four parts along lines EF and GH. Compared to the original perimeter of the cake, the additional length added is 2HG + 2EF. What is the length of this additiona... | C | mcq | Properties and Understanding of Rectangles | 2steps_76 | 2steps_2 | |
437 | [{"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 edge length can be equivalent to 2OB+2OC+2OD. What is its length in cm?", "hint":... | D | mcq | Understanding Sectors | 2steps_77 | 2steps_2 | |
438 | [{"role": "user", "question": "There is a rectangular cake, now divided into four parts along EF and GH, with an additional length of 20cm compared to the original perimeter of the cake, i.e., 2EF + 2GH = 20cm. What was the perimeter of the rectangular cake before it was cut?", "hint": "", "options": {"A": "5 cm", "B":... | C | mcq | Perimeter of Rectangles | 2steps_78 | 2steps_2 | |
439 | [{"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 added edge length is 40cm, i.e., 2AB + 2CD = 40cm. What was the circumference of the circular cake before it was cut (in cm)?", "hin... | B | mcq | Circumference of Circles | 2steps_79 | 2steps_2 | |
44 | [{"role": "user", "question": "From the diagram, the bookstore is in the ( ) direction from the school.", "hint": "", "options": {"A": "east by north", "B": "north by west", "C": "west by south", "D": "north", "E": "No correct answer"}, "choices": []}] | A | mcq | Cardinal Directions (East, South, West, North) | 2steps_44 | 2steps_1 | |
440 | [{"role": "user", "question": "As shown in the diagram, there is a triangular cake with BC = 10 cm. It is now cut into two parts along AD, and the new edge length added by 2AD = 10 cm. What was the area of the triangular cake before it was cut?", "hint": "", "options": {"A": "25 square centimeters", "B": "10 square cen... | A | mcq | Area of Triangles | 2steps_80 | 2steps_2 | |
441 | [{"role": "user", "question": "As shown in the diagram, the figure is divided along the dashed line into two shapes: a trapezoid and a triangle. Are both shapes 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":... | A | mcq | Tessellation of Figures | 2steps_81 | 2steps_2 | |
442 | [{"role": "user", "question": "The diameter and height of the base of a cylindrical object are shown in the diagram. The surface area of the cylinder is ( ) dm².", "hint": "", "options": {"A": "18π", "B": "48π", "C": "72π", "D": "132π", "E": "No correct answer"}, "choices": []}] | B | mcq | Surface Area of Cylinders | 2steps_82 | 2steps_2 | |
443 | [{"role": "user", "question": "As shown in the diagram, a cuboid is cut into 4 smaller cuboids, resulting in an increase of 30 square decimeters in surface area, which is equivalent to the area of 6 faces. The volume of the original cuboid was ( ) cubic decimeters.", "hint": "", "options": {"A": "5", "B": "6", "C": ... | C | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_83 | 2steps_2 | |
444 | [{"role": "user", "question": "If a rectangular block of wood as shown in the diagram is sawed into two cubes, and the entire surface is to be painted, the increase in surface area is equivalent to the surface area of 2 small squares. How many more square centimeters of paint is needed compared to the original?", "hint... | B | mcq | Surface Area of Cubes | 2steps_84 | 2steps_2 | |
445 | [{"role": "user", "question": "The surface area of the small cube in the diagram is ( ) square centimeters.", "hint": "", "options": {"A": "90", "B": "54", "C": "108", "D": "No correct answer"}, "choices": []}] | B | mcq | Surface Area of Cubes | 2steps_85 | 2steps_2 | |
446 | [{"role": "user", "question": "If a cube with a surface area of 90 cm² is cut twice (as shown in the diagram), resulting in several smaller rectangular solids, and if this process adds the area of 4 small squares, then the total surface area of these smaller rectangular solids compared to the original cube's surface ar... | C | mcq | Surface Area of Cubes | 2steps_86 | 2steps_2 | |
447 | [{"role": "user", "question": "The total length of the edges of this cube is ( ).", "hint": "", "options": {"A": "12h", "B": "6h", "C": "14h", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Cubes | 2steps_87 | 2steps_2 | |
448 | [{"role": "user", "question": "If you cut the largest possible cube from a rectangular cuboid, and the edge length of this cube is 4 cm, what is the total length of all the edges of the cube?", "hint": "", "options": {"A": "48 cm", "B": "72 cm", "C": "96 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Cubes | 2steps_88 | 2steps_2 | |
449 | [{"role": "user", "question": "A rectangular cuboid has a length of 20 cm and a base area as shown in the diagram. Its volume is ( ) cubic centimeters.", "hint": "", "options": {"A": "1600", "B": "800", "C": "400", "D": "200", "E": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Rectangular Cuboids | 2steps_89 | 2steps_2 | |
45 | [{"role": "user", "question": "As shown in the diagram, A is directly south of B, and C is directly west of A. What is the measure of ∠BAC?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "75°", "D": "90°", "E": "No correct answer"}, "choices": []}] | D | mcq | Cardinal Directions (East, South, West, North) | 2steps_45 | 2steps_1 | |
450 | [{"role": "user", "question": "As shown in the diagram, a rectangular block with a length of 4 cm, width of 2 cm, and height of 3 cm is cut along the dashed line into two smaller rectangular blocks. After the cut, the surface area increased by ( ) cm².", "hint": "", "options": {"A": "8", "B": "12", "C": "16", "D": "... | D | mcq | Surface Area of Rectangular Cuboids | 2steps_90 | 2steps_2 | |
451 | [{"role": "user", "question": "The figure below shows a rectangular cubiod. If it is cut into two identical rectangular cubiods along the middle dashed line, the increased surface area is ( ).", "hint": "", "options": {"A": "160", "B": "240", "C": "300", "D": "700", "E": "No correct answer"}, "choices": []}] | B | mcq | Surface Area of Rectangular Cuboids | 2steps_91 | 2steps_2 | |
452 | [{"role": "user", "question": "As shown in the diagram, four identical small cylinders are combined to form a larger cylinder that is 40 cm long. It is known that the surface area is reduced by 169.56 cm² (6 cylindrical cross-sections). What is the volume of each small cylinder in cm³?(π = 3.14)", "hint": "", "options"... | B | mcq | Volume and Capacity of Cylinders | 2steps_92 | 2steps_2 | |
453 | [{"role": "user", "question": "As shown in the diagram, what is the volume of the cylinder?", "hint": "", "options": {"A": "40 cm³", "B": "20 cm³", "C": "30 cm³", "D": "No correct answer"}, "choices": []}] | A | mcq | Surface Area of Cylinders | 2steps_93 | 2steps_2 | |
454 | [{"role": "user", "question": "The area of the annular sector is ( ) square decimeters. (π is taken as 3.14)", "hint": "", "options": {"A": "10.99", "B": "5.495", "C": "7.065", "D": "12.56", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Circles | 2steps_94 | 2steps_2 | |
455 | [{"role": "user", "question": "As shown in the diagram, how is image ① transformed to obtain image ②?", "hint": "", "options": {"A": "Shift 1 grid to the left", "B": "Shift 2 grids to the left", "C": "Shift 1 grid to the right", "D": "No correct answer"}, "choices": []}] | B | mcq | Translation | 2steps_95 | 2steps_2 | |
456 | [{"role": "user", "question": "As shown in the diagram, how do you transform figure A into figure B?", "hint": "", "options": {"A": "Translate 10 units to the right", "B": "Translate 9 units to the right", "C": "Translate 8 units to the right", "D": "Translate 7 units to the right", "E": "No correct answer"}, "choices"... | A | mcq | Translation | 2steps_96 | 2steps_2 | |
457 | [{"role": "user", "question": "As shown in the diagram, shape B is obtained by translating shape A to the right by ( ) squares. ① 5; ② 6", "hint": "", "options": {"A": "①", "B": "②", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Translation | 2steps_97 | 2steps_2 | |
458 | [{"role": "user", "question": "As shown in the diagram, figure 1 can be considered as obtained from figure 2 by ( ).", "hint": "", "options": {"A": "Clockwise rotation", "B": "Reflection (across line L)", "C": "Counterclockwise rotation", "D": "Translating upwards by five units", "E": "No correct answer"}, "choices"... | B | mcq | Axial Symmetry | 2steps_98 | 2steps_2 | |
459 | [{"role": "user", "question": "The shape ABCD in the diagram below is a ( ).", "hint": "", "options": {"A": "Rectangle", "B": "Trapezoid", "C": "Parallelogram", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Trapezoids | 2steps_99 | 2steps_2 | |
46 | [{"role": "user", "question": "As shown in the diagram, Mike starts from point B, first goes directly north from B, then directly east from B, and finally returns to point B. The shape formed by the path he walks is ( ).", "hint": "", "options": {"A": "Triangle", "B": "Parallelogram", "C": "Square", "D": "Trapezoid", "... | A | mcq | Cardinal Directions (East, South, West, North) | 2steps_46 | 2steps_1 | |
460 | [{"role": "user", "question": "In the diagram below, what is the area of the shaded part?", "hint": "", "options": {"A": "10dm²", "B": "15dm²", "C": "20dm²", "D": "25dm²", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Squares | 2steps_100 | 2steps_2 | |
461 | [{"role": "user", "question": "In the diagram below, both squares have a side length of 5cm. The area of the shaded part is ( ) cm².", "hint": "", "options": {"A": "25", "B": "20", "C": "10", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Squares | 2steps_101 | 2steps_2 | |
462 | [{"role": "user", "question": "In the diagram, shape C transforms into shape B. Which of the following descriptions is correct?", "hint": "", "options": {"A": "Shape C is transformed into shape B by a reflection across the line containing its diameter", "B": "Shape C is transformed into shape B by rotating 90 degrees c... | A | mcq | Axial Symmetry | 2steps_102 | 2steps_2 | |
463 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is first translated 4 units to the right and then 3 units upward to obtain figure ②. 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": ... | C | mcq | Representing Positions Using Ordered Pairs | 2steps_103 | 2steps_2 | |
464 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is translated downward by 2 units to obtain triangle A'B'C'. The position of vertex A' expressed as a coordinate pair is ( )", "hint": "", "options": {"A": "(3,2)", "B": "(5,2)", "C": "(2,5)", "D": "(2,3)", "E": "No correct answer"}, "choices": []}... | D | mcq | Representing Positions Using Ordered Pairs | 2steps_104 | 2steps_2 | |
465 | [{"role": "user", "question": "As shown in the diagram, shape A is transformed into shape C by ______.", "hint": "", "options": {"A": "Rotating 90° counterclockwise around point O", "B": "Rotating 90° clockwise around point O", "C": "Rotating 45° clockwise around point O", "D": "No correct answer"}, "choices": []}] | B | mcq | Rotation | 2steps_105 | 2steps_2 | |
466 | [{"role": "user", "question": "What is the shape obtained by rotating Shape A 90 degrees clockwise around the center?", "hint": "", "options": {"A": "B", "B": "C", "C": "D", "D": "No correct answer"}, "choices": []}] | B | mcq | Rotation | 2steps_106 | 2steps_2 | |
467 | [{"role": "user", "question": "Given that triangle ABC is translated upwards by 3 units to obtain triangle A'B'C', triangle A'B'C' is ( )", "hint": "", "options": {"A": "Right triangle", "B": "Acute triangle", "C": "Obtuse triangle", "D": "Isosceles triangle", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Triangles | 2steps_107 | 2steps_2 | |
468 | [{"role": "user", "question": "In the diagram, the area of the shaded part is ( ) cm².", "hint": "", "options": {"A": "5 cm²", "B": "6 cm²", "C": "8 cm²", "D": "No correct answer"}, "choices": []}] | B | mcq | Area of Rectangles | 2steps_108 | 2steps_2 | |
469 | [{"role": "user", "question": "If AB + AD = 7, and the polyline in the diagram (composed of all the thick black line segments) can be translated to completely coincide with AB and BC, then the length of the polyline in the diagram is:", "hint": "", "options": {"A": "14", "B": "7", "C": "12", "D": "18", "E": "No correct... | B | mcq | Properties and Understanding of Parallelograms | 2steps_109 | 2steps_2 | |
47 | [{"role": "user", "question": "In the diagram, the point south of point E is point ( ).", "hint": "", "options": {"A": "A", "B": "E", "C": "C", "D": "G", "E": "No correct answer"}, "choices": []}] | D | mcq | Cardinal Directions (East, South, West, North) | 2steps_47 | 2steps_1 | |
470 | [{"role": "user", "question": "What is the area of the shaded part in the diagram (in dm²)?", "hint": "", "options": {"A": "8", "B": "6", "C": "4", "D": "2", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Squares | 2steps_110 | 2steps_2 | |
471 | [{"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 | Area of Parallelograms | 2steps_111 | 2steps_2 | |
472 | [{"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). Now, small square A is moved to another position A'. What is the coordinate of position A'?", "hint": "", "options": {"A": "(3, 2)", "B": "(3, 4)", "... | A | mcq | Representing Positions Using Ordered Pairs | 2steps_112 | 2steps_2 | |
473 | [{"role": "user", "question": "If the figure ABCD is reflected across the axis BC to form the figure BCGH, what is the total perimeter of the combined figure ABCD and BCHG in centimeters?", "hint": "", "options": {"A": "12", "B": "18", "C": "10", "D": "22", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Rectangles | 2steps_113 | 2steps_2 | |
474 | [{"role": "user", "question": "As shown in the diagram, the figure ABC is reflected across the axis BC to form the figure BCE. Triangle BCE and triangle ABC together form a parallelogram. What is the perimeter of this parallelogram?", "hint": "", "options": {"A": "9", "B": "12", "C": "15", "D": "18", "E": "No correct a... | B | mcq | Perimeter of Parallelograms | 2steps_114 | 2steps_2 | |
475 | [{"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 | Perimeter of Triangles | 2steps_115 | 2steps_2 | |
476 | [{"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 cm)", "hint": "", "options": {"A": "26", "B": "24", "C": "20", "D": "18", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Trapezoids | 2steps_116 | 2steps_2 | |
477 | [{"role": "user", "question": "As shown in the diagram, HG is the axis of symmetry for quadrilateral ABCD, meaning AC = BD. What shape is quadrilateral ABCD? ()", "hint": "", "options": {"A": "Square", "B": "Rectangle", "C": "Isosceles trapezoid", "D": "Right trapezoid", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Trapezoids | 2steps_117 | 2steps_2 | |
478 | [{"role": "user", "question": "As shown in the diagram, EF is the axis of symmetry for quadrilateral ABCD. 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 | Perimeter of Parallelograms | 2steps_118 | 2steps_2 | |
479 | [{"role": "user", "question": "As shown in the diagram, a 4m wide path is laid around the perimeter of a semicircular lawn. Given that the radius of the path is 24m, what is the area of the path in square meters? The correct formula to calculate this is ( ).(π = 3.14)", "hint": "", "options": {"A": "3.14 × (24^2 - 2... | A | mcq | Area of Circles | 2steps_119 | 2steps_2 | |
48 | [{"role": "user", "question": "To get from point A to point B, in which direction should you go?", "hint": "", "options": {"A": "Northeast", "B": "North-South", "C": "Northwest", "D": "North", "E": "No correct answer"}, "choices": []}] | A | mcq | Southeast, Southwest, Northeast, Northwest Directions | 2steps_48 | 2steps_1 | |
480 | [{"role": "user", "question": "Two small circles with equal radii are arranged as shown in the rectangle below. What is the perimeter of the rectangle in centimeters?", "hint": "", "options": {"A": "Cannot be calculated", "B": "8", "C": "10", "D": "12", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Rectangles | 2steps_120 | 2steps_2 | |
481 | [{"role": "user", "question": "As shown in the diagram, 2.5 circles with the same diameter are drawn inside a rectangle. If the radius of each circle is 2 cm, what is the width of the rectangle (in cm)?", "hint": "", "options": {"A": "2.5", "B": "2", "C": "6", "D": "4", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Rectangles | 2steps_121 | 2steps_2 | |
482 | [{"role": "user", "question": "When using a compass to draw line segments, how many line segments are there in total in the diagram on the right? ", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "No correct answer"}, "choices": []}] | B | mcq | Understanding Line Segments, Lines, and Rays | 2steps_122 | 2steps_2 | |
483 | [{"role": "user", "question": "As shown in the diagram, it is known that C and D are the centers of two circles, and A and B are points on the two circles, respectively. The circumference of circle C is ( ). (π = 3.14)", "hint": "", "options": {"A": "12 cm", "B": "25.12 cm", "C": "31.4 cm", "D": "62.8 cm", "E": "No cor... | B | mcq | Circumference of Circles | 2steps_123 | 2steps_2 | |
484 | [{"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, what is the edge length of the cube in centimeters?", "hint": "", "options": {"A": "4 cm", "B": "5 cm", "C": "1 cm", "D": "No correct answer"}, "choice... | C | mcq | Properties and Understanding of Cubes | 2steps_124 | 2steps_2 | |
485 | [{"role": "user", "question": "The white part in the diagram is composed of 4 identical sectors, which can be assembled into a circle. The area of the white part is ( ).", "hint": "", "options": {"A": "π", "B": "3π", "C": "9π", "D": "36π", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Circles | 2steps_125 | 2steps_2 | |
486 | [{"role": "user", "question": "As shown in the diagram, the area of the shaded sector is ( ) square centimeters.", "hint": "", "options": {"A": "π", "B": "2π", "C": "16π", "D": "4π", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Sectors | 2steps_126 | 2steps_2 | |
487 | [{"role": "user", "question": "In the diagram B, the shaded area 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 | Conversion Rates and Calculations Between Length Units | 2steps_127 | 2steps_2 | |
488 | [{"role": "user", "question": "In parallelogram ABCD, if ∠A = 60°, what is the measure of ∠C?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "90°", "D": "45°", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Parallelograms | 2steps_128 | 2steps_2 | |
489 | [{"role": "user", "question": "As shown in the diagram, it is known that EG = 3cm, and line l1 is parallel to line l2. What is the length of AB in cm?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Parallel | 2steps_129 | 2steps_2 | |
49 | [{"role": "user", "question": "To walk from the zoo to the school, you should head ( ).", "hint": "", "options": {"A": "Northeast", "B": "Southeast", "C": "Northwest", "D": "Southwest", "E": "No correct answer"}, "choices": []}] | B | mcq | Southeast, Southwest, Northeast, Northwest Directions | 2steps_49 | 2steps_1 | |
490 | [{"role": "user", "question": "As shown in the diagram, using the width of this rectangle as the height of a cylinder, the rectangle is rolled into a cylinder without top and bottom faces. What is the surface area of this cylinder?", "hint": "", "options": {"A": "10π", "B": "20π", "C": "28π", "D": "No correct answer"},... | A | mcq | Surface Area of Cylinders | 2steps_130 | 2steps_2 | |
491 | [{"role": "user", "question": "As shown in the diagram, what is the area of the sector?", "hint": "", "options": {"A": "4π", "B": "2π", "C": "8π", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Sectors | 2steps_131 | 2steps_2 | |
492 | [{"role": "user", "question": "As shown in the diagram, 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 | Properties of Cones | 2steps_132 | 2steps_2 | |
493 | [{"role": "user", "question": "Given that AE is perpendicular to BC, the shortest path from A to BC is ( )", "hint": "", "options": {"A": "AB", "B": "AC", "C": "AD", "D": "AE", "E": "No correct answer"}, "choices": []}] | D | mcq | Distance Between Two Points | 2steps_133 | 2steps_2 | |
494 | [{"role": "user", "question": "As shown in the diagram, AB is perpendicular to BD. Among the following three line segments, the shortest one is ( ).", "hint": "", "options": {"A": "AB", "B": "AC", "C": "AD", "D": "No correct answer"}, "choices": []}] | A | mcq | Distance Between Two Points | 2steps_134 | 2steps_2 | |
495 | [{"role": "user", "question": "As shown in the diagram, AB is perpendicular to AC. What is the distance from point C to line AB in centimeters?", "hint": "", "options": {"A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Distance Between Two Points | 2steps_135 | 2steps_2 | |
496 | [{"role": "user", "question": "As shown in the diagram, it is known that OA is perpendicular to OC. To make OB coincide with OC, how should segment OB be manipulated?", "hint": "", "options": {"A": "Rotate 90° clockwise", "B": "Rotate 45° counterclockwise", "C": "Rotate 90° counterclockwise", "D": "Rotate 45° clockwise... | B | mcq | Rotation | 2steps_136 | 2steps_2 | |
497 | [{"role": "user", "question": "If EF is perpendicular to side b, then EF is the ( ) of the parallelogram?", "hint": "", "options": {"A": "Side a", "B": "Side c", "C": "Height", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Parallelograms | 2steps_137 | 2steps_2 | |
498 | [{"role": "user", "question": "If EF is perpendicular to side b, then EF is the trapezoid's ( )", "hint": "", "options": {"A": "side a", "B": "side c", "C": "height", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Trapezoids | 2steps_138 | 2steps_2 | |
499 | [{"role": "user", "question": "As shown in the diagram, two triangular boards are arranged to form a shape, with ∠1 + ∠2 = 90°. Then, line segment AB is ( ) to CD.", "hint": "", "options": {"A": "Perpendicular", "B": "Parallel", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Triangular Rulers | 2steps_139 | 2steps_2 | |
5 | [{"role": "user", "question": "As shown in the diagram, if the circumference of a circle is 6.28 cm, then the radius of the circle is ( ) cm.", "hint": "", "options": {"A": "1 cm", "B": "1.5 cm", "C": "3.14 cm", "D": "6.28 cm", "E": "No correct answer"}, "choices": []}] | A | mcq | Circumference of Circles | 2steps_5 | 2steps_1 | |
50 | [{"role": "user", "question": "Given that point A is located to the southeast of point B, and point C is located to the southwest of point A, what is the measure of angle BAC?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "75°", "D": "90°", "E": "No correct answer"}, "choices": []}] | D | mcq | Southeast, Southwest, Northeast, Northwest Directions | 2steps_50 | 2steps_1 | |
500 | [{"role": "user", "question": "As shown in the diagram, to get from point A to point B and must pass through point C, which route should be taken?", "hint": "", "options": {"A": "First walk 3m in the southwest direction, then walk 3m in the northeast direction", "B": "First walk 3m in the northeast direction, then walk... | C | mcq | Describing Simple Routes Based on Direction and Distance | 2steps_140 | 2steps_2 | |
501 | [{"role": "user", "question": "Given that there are 6 line segments on AD, the total number of triangles in the diagram is ( ).", "hint": "", "options": {"A": "1", "B": "6", "C": "7", "D": "8", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles | 2steps_141 | 2steps_2 | |
502 | [{"role": "user", "question": "Given that there are 10 line segments on line segment BF, the total number of triangles in the diagram is ( ).", "hint": "", "options": {"A": "7", "B": "9", "C": "8", "D": "10", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Triangles | 2steps_142 | 2steps_2 | |
503 | [{"role": "user", "question": "As shown in the diagram, only B is a line segment, and its length is ( ) cm.", "hint": "", "options": {"A": "4", "B": "8", "C": "2", "D": "3", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Length (Using a Ruler) | 2steps_143 | 2steps_2 | |
504 | [{"role": "user", "question": "What is the length of line segment AB in the diagram ② (cm)?", "hint": "", "options": {"A": "4", "B": "300", "C": "400", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Length Units | 2steps_144 | 2steps_2 | |
505 | [{"role": "user", "question": "As shown in the diagram, the direction of ray l1 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 | Describing Simple Routes Based on Direction and Distance | 2steps_145 | 2steps_2 | |
506 | [{"role": "user", "question": "As shown in the diagram, what is the measure of the largest angle in this figure? ", "hint": "", "options": {"A": "150°", "B": "120°", "C": "20°", "D": "No correct answer"}, "choices": []}] | A | mcq | Calculation and Comparison of Angles | 2steps_146 | 2steps_2 | |
507 | [{"role": "user", "question": "As shown in the diagram, to reach line l from point O along OC, one should ( )", "hint": "", "options": {"A": "Walk in the due north direction", "B": "Walk in the north by east direction", "C": "Walk in the east by north direction", "D": "No correct answer"}, "choices": []}] | A | mcq | Cardinal Directions (East, South, West, North) | 2steps_147 | 2steps_2 | |
508 | [{"role": "user", "question": "As shown in the diagram, the shortest distance from point A to point B is 5 cm, segment ② = 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 | Perimeter of Squares | 2steps_148 | 2steps_2 | |
509 | [{"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. If path ② = 5 cm, what is the radius of the circle? ", "hint": "", "options": {"A": "2.5 cm", "B": "5 cm", "C": "10 cm", "D"... | A | mcq | Understanding Circles | 2steps_149 | 2steps_2 | |
51 | [{"role": "user", "question": "As shown in the diagram, the southeast direction from point E is point ( )", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "No correct answer"}, "choices": []}] | D | mcq | Southeast, Southwest, Northeast, Northwest Directions | 2steps_51 | 2steps_1 | |
510 | [{"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. If path ③ = 5 cm, what is the circumference of the circle? ( ) cm", "hint": "", "options": {"A": "5π", "B": "4π", "C": "3π", ... | A | mcq | Circumference of Circles | 2steps_150 | 2steps_2 | |
511 | [{"role": "user", "question": "There are three roads from point M to point N, with road B being the shortest. What is the length of road B in kilometers?", "hint": "", "options": {"A": "100", "B": "120", "C": "0.1", "D": "0.12", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Length Units | 2steps_151 | 2steps_2 |
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