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value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
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1089 | [{"role": "user", "question": "As shown in the figure, circles A and B have equal radii, both equal to 3 cm. A and B are the centers of the two circles, point A is on circle B, point B is on circle A, and point P is the intersection point of the two circles. Which of the following relationships between the lengths PA, ... | A | mcq | Understanding Circles | 3stpes_9 | 3steps_1 | |
109 | [{"role": "user", "question": "Can the bold solid line in the diagram be translated locally to the positions of AB and BC?", "hint": "", "options": {"A": "Yes, the horizontal part of the broken line segment can be translated upwards, and the vertical line segment can be translated to the left", "B": "Yes, the horizonta... | A | mcq | Translation | 2steps_109 | 2steps_1 | |
1090 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a parallelogram. What is the relationship between the lengths of AB and CD?", "hint": "", "options": {"A": "AB = CD", "B": "AB > CD", "C": "AB < CD", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Parallelograms | 3stpes_10 | 3steps_1 | |
1091 | [{"role": "user", "question": "In the quadrilateral ABCD shown in the figure, which is a rectangle with an area of 20 cm², what is the length of BA in cm?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "5", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Rectangles | 3stpes_11 | 3steps_1 | |
1092 | [{"role": "user", "question": "The perimeter of rectangle ABCD is 20 cm. What is the length of AB in cm?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "5", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Rectangles | 3stpes_12 | 3steps_1 | |
1093 | [{"role": "user", "question": "As shown in the figure, the area of the rectangle is 12.56 cm². What is the length of AD (in cm)?", "hint": "", "options": {"A": "50.24", "B": "3.14", "C": "12.56", "D": "6.28", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Rectangles | 3stpes_13 | 3steps_1 | |
1094 | [{"role": "user", "question": "As shown in the figure, the perimeter of square ABCD is given. What is the length of its side in cm?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "5", "E": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Squares | 3stpes_14 | 3steps_1 | |
1095 | [{"role": "user", "question": "As shown in the figure, the rectangular cuboid can be divided into two identical cubes. The total length of the edges of each cube is marked in the figure. What is the edge length of one cube? ( ) cm", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "5", "E": "No correct answer... | C | mcq | Properties and Understanding of Cubes | 3stpes_15 | 3steps_1 | |
1096 | [{"role": "user", "question": "As shown in the figure, the volume and height of the cone are given. What is the radius of the base of this cone in cm?(π = 3.14)", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | D | mcq | Volume and Capacity of Cones | 3stpes_16 | 3steps_1 | |
1097 | [{"role": "user", "question": "As shown in the figure, the area of triangle ABC is 48 cm², and it is the front view of a cone. What is the length of BC in cm?", "hint": "", "options": {"A": "16", "B": "8", "C": "6", "D": "4", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Triangles | 3stpes_17 | 3steps_1 | |
1098 | [{"role": "user", "question": "As shown in the figure, the central angle of the sector is 90°, and its area is equal to the area of the circle shown below. What is the area of the sector in cm²?(Use π=3.14)", "hint": "", "options": {"A": "50.24", "B": "3.14", "C": "12.56", "D": "6.28", "E": "No correct answer"}, "choic... | B | mcq | Area of Circles | 3stpes_18 | 3steps_1 | |
1099 | [{"role": "user", "question": "As shown in the figure, ABCD is a parallelogram. What is the measure of ∠B? ( )°", "hint": "", "options": {"A": "45", "B": "60", "C": "30", "D": "90", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Parallelograms | 3stpes_19 | 3steps_1 | |
11 | [{"role": "user", "question": "In the diagram, the block to the right of block D is ( )", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "E", "E": "No correct answer"}, "choices": []}] | D | mcq | Left-Right Position | 2steps_11 | 2steps_1 | |
110 | [{"role": "user", "question": "The figure below is composed of two squares, each with a side length of 2dm. Can the shaded area \"a\" be translated to form a square with the shaded area on the left?", "hint": "", "options": {"A": "Yes, \"a\" needs to be translated 2dm to the left", "B": "Yes, \"a\" needs to be translat... | A | mcq | Translation | 2steps_110 | 2steps_1 | |
1100 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is an isosceles trapezoid. What is the length relationship between AB and CD? ( )", "hint": "", "options": {"A": "AB = CD", "B": "AB > CD", "C": "AB < CD", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Trapezoids | 3stpes_20 | 3steps_1 | |
1101 | [{"role": "user", "question": "A rectangular steel plate with a length of 20.56 cm is shown in the diagram. The shaded part obtained by cutting the plate can be used to make a cylinder. What is the radius of the circular shaded part in cm?(Use π = 3.14)", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", ... | C | mcq | Expanded View of Cylinders | 3stpes_21 | 3steps_1 | |
1102 | [{"role": "user", "question": "The area of triangle ABC is 12 cm². What is the length of BC in cm? ", "hint": "", "options": {"A": "4", "B": "5", "C": "6", "D": "3", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Triangles | 3stpes_22 | 3steps_1 | |
1103 | [{"role": "user", "question": "As shown in the figure, two identical largest circles are cut out from a rectangular piece of paper. The circumference of each circle is 12.56 cm. What is the radius of each circle in cm? (Use π = 3.14) ", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct an... | C | mcq | Circumference of Circles | 3stpes_23 | 3steps_1 | |
1104 | [{"role": "user", "question": "As shown in the figure, the area of square ABCD is () cm².", "hint": "", "options": {"A": "16", "B": "8", "C": "6", "D": "4", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Squares | 3stpes_24 | 3steps_1 | |
1105 | [{"role": "user", "question": "Placing a triangular ruler in the position shown in the figure, the two edges of the triangular ruler exactly coincide with the two edges of ∠A. What is the measure of ∠A? ( )°", "hint": "", "options": {"A": "45", "B": "60", "C": "30", "D": "90", "E": "No correct answer"}, "choices": []}] | C | mcq | Understanding Triangular Rulers | 3stpes_25 | 3steps_1 | |
1106 | [{"role": "user", "question": "In the quadrilateral ABCD shown in the figure, ABCD is a right trapezoid, and line segment BE is perpendicular to CD. What is the length of BE in cm?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Trapezoids | 3stpes_26 | 3steps_1 | |
1107 | [{"role": "user", "question": "In rectangle ABCD, the length of BC is () cm.", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Rectangles | 3stpes_27 | 3steps_1 | |
1108 | [{"role": "user", "question": "If the height of a rectangular cuboid is increased by 4 cm, it becomes a cube. What is the shape of the base of this rectangular cuboid? ( )", "hint": "", "options": {"A": "Square", "B": "Rectangle", "C": "Parallelogram", "D": "Cannot be determined", "E": "No correct answer"}, "choices": ... | A | mcq | Properties and Understanding of Cubes | 3stpes_28 | 3steps_1 | |
1109 | [{"role": "user", "question": "The circumference of the circle in the diagram is () cm.(Use π = 3.14)", "hint": "", "options": {"A": "50.24", "B": "3.14", "C": "12.56", "D": "6.28", "E": "No correct answer"}, "choices": []}] | C | mcq | Circumference of Circles | 3stpes_29 | 3steps_1 | |
111 | [{"role": "user", "question": "Can the shaded part labeled 'a' in the diagram be translated to form a parallelogram with 'b'?", "hint": "", "options": {"A": "Yes, 'a' needs to be translated one unit to the right and three units up", "B": "Yes, 'a' needs to be translated two units to the right and three units up", "C": ... | C | mcq | Translation | 2steps_111 | 2steps_1 | |
1110 | [{"role": "user", "question": "If the height of a cylinder is reduced by 4 centimeters, and the surface area is reduced by 50.24 cm², what is the circumference of the base of the cylinder in centimeters?", "hint": "", "options": {"A": "50.24", "B": "3.14", "C": "12.56", "D": "6.28", "E": "No correct answer"}, "choices"... | C | mcq | Expanded View of Cylinders | 3stpes_30 | 3steps_1 | |
1111 | [{"role": "user", "question": "As shown in the figure, there is a circle enclosed by a wire, and its area is marked in the figure. What is the radius of the circle? (Unit: cm)", "hint": "", "options": {"A": "5", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Circles | 3stpes_31 | 3steps_1 | |
1112 | [{"role": "user", "question": "As shown in the figure, a triangular ruler is stacked with three circular paper pieces. What is the relationship between the lengths of the two perpendicular sides of the triangular ruler?", "hint": "", "options": {"A": "Equal", "B": "Not equal", "C": "Cannot be determined", "D": "No corr... | A | mcq | Understanding Triangular Rulers | 3stpes_32 | 3steps_1 | |
1113 | [{"role": "user", "question": "As shown in the figure, there is an isosceles trapezoid made of wire. This wire can also be used to form a cube frame. The volume of the cube frame is shown in the figure. What is the edge length of the cube?", "hint": "", "options": {"A": "1cm", "B": "5cm", "C": "2cm", "D": "No correct a... | A | mcq | Volume and Capacity of Cubes | 3stpes_33 | 3steps_1 | |
1114 | [{"role": "user", "question": "There are two iron wires of the same length, which are respectively formed into the following cube frame and rectangular cuboid frame. Based on the edge length of the cube frame, what is the length of the iron wire? ( )", "hint": "", "options": {"A": "60cm", "B": "80cm", "C": "100cm", "D"... | A | mcq | Properties and Understanding of Cubes | 3stpes_34 | 3steps_1 | |
1115 | [{"role": "user", "question": "As shown in the figure, rectangle ABCD is formed by a piece of wire. What is the length of side CD?", "hint": "", "options": {"A": "36cm", "B": "12cm", "C": "24cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Rectangles | 3stpes_35 | 3steps_1 | |
1116 | [{"role": "user", "question": "As shown in the figure, a circular frame is made of wire. Based on the information in the figure, what is the length of side CD? ( )", "hint": "", "options": {"A": "12 cm", "B": "8 cm", "C": "24 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Circles | 3stpes_36 | 3steps_1 | |
1117 | [{"role": "user", "question": "As shown in the figure, quadrilateral GBCD is an isosceles trapezoid with a perimeter of 40cm. What is the length of CD in cm?", "hint": "", "options": {"A": "10", "B": "8", "C": "24", "D": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Trapezoids | 3stpes_37 | 3steps_1 | |
1118 | [{"role": "user", "question": "As shown in the figure, ∠4 in the right triangle is equal to ∠5 in the left triangular ruler. What is the value of ∠4?", "hint": "", "options": {"A": "45°", "B": "60°", "C": "120°", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Triangular Rulers | 3stpes_38 | 3steps_1 | |
1119 | [{"role": "user", "question": "In a parallelogram-shaped pool, the shortest path from edge AB to edge CD is 4 meters. Which of the following corresponds to this path? What is its positional relationship with line segments AB and CD?", "hint": "", "options": {"A": "①, perpendicular", "B": "②, intersecting but not perpen... | C | mcq | perpendicularity | 3stpes_39 | 3steps_1 | |
112 | [{"role": "user", "question": "As shown in the diagram, six small squares form a shape. In order 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?", "hint": "", "options": {"A": "1", "B": "2", "C": "3", "D": "No correct ans... | A | mcq | Axial Symmetry | 2steps_112 | 2steps_1 | |
1120 | [{"role": "user", "question": "As shown in the figure, the isosceles trapezoid on the left is made of wire. What is the length of the wire? ( ) cm?", "hint": "", "options": {"A": "12", "B": "10", "C": "8", "D": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Trapezoids | 3stpes_40 | 3steps_1 | |
1121 | [{"role": "user", "question": "As shown in the figure, the following parallelogram is enclosed with wire. What is the length of the wire in cm?", "hint": "", "options": {"A": "16", "B": "12", "C": "10", "D": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Parallelograms | 3stpes_41 | 3steps_1 | |
1122 | [{"role": "user", "question": "There is a trapezoidal pool, and the distance from edge AB to edge CD is 4 meters. Which of the following corresponds to this path? What is its positional relationship with line segments AB and CD?", "hint": "", "options": {"A": "①, perpendicular", "B": "②, intersecting but not perpendicu... | C | mcq | perpendicularity | 3stpes_42 | 3steps_1 | |
1123 | [{"role": "user", "question": "A rectangular sheet of metal has a square cut out from each of its four corners. The side length of each square is () cm.", "hint": "", "options": {"A": "1 cm", "B": "5 cm", "C": "2 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Squares | 3stpes_43 | 3steps_1 | |
1124 | [{"role": "user", "question": "A square metal sheet has a small square cut out from each of its four corners. What is the side length of each small square in cm?", "hint": "", "options": {"A": "1 cm", "B": "5 cm", "C": "3 cm", "D": "2 cm", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Squares | 3stpes_44 | 3steps_1 | |
1125 | [{"role": "user", "question": "As shown in the figure, the area of triangle ABE is 4 cm². What is the length of AE? ( ) cm", "hint": "", "options": {"A": "4", "B": "5", "C": "2", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Triangles | 3stpes_45 | 3steps_1 | |
1126 | [{"role": "user", "question": "In the isosceles trapezoid ABCD as shown in the figure, what is the length of AC? ( ) cm", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Trapezoids | 3stpes_46 | 3steps_1 | |
1127 | [{"role": "user", "question": "As shown in the figure, there is a bottle in an upright position and an inverted position. What are the liquid level height when upright and the air height when inverted, respectively?", "hint": "", "options": {"A": "6cm, 2cm", "B": "1cm, 3cm", "C": "1cm, 4cm", "D": "No correct answer"}, ... | A | mcq | Understanding Length (Using a Ruler) | 3stpes_47 | 3steps_1 | |
1128 | [{"role": "user", "question": "As shown in the figure, the area of the rectangle below is 48 cm². What is the length of AB in the rectangle?", "hint": "", "options": {"A": "8 cm", "B": "6 cm", "C": "10 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Rectangles | 3stpes_48 | 3steps_1 | |
1129 | [{"role": "user", "question": "As shown in the figure, the area of the rectangle below is 10 cm². What is the width of the rectangle?", "hint": "", "options": {"A": "2 cm", "B": "6 cm", "C": "10 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Rectangles | 3stpes_49 | 3steps_1 | |
113 | [{"role": "user", "question": "What is the shape formed by performing an axial symmetry on the shape ABCD with BC as the axis of symmetry?", "hint": "", "options": {"A": "FEAD", "B": "DGCI", "C": "BCGH", "D": "No correct answer"}, "choices": []}] | C | mcq | Axial Symmetry | 2steps_113 | 2steps_1 | |
1130 | [{"role": "user", "question": "The position of point A in the grid is shown in the figure. If point B can be represented by (1, 2), then point A can be represented by the coordinates ().", "hint": "", "options": {"A": "(4, 5)", "B": "(7, 2)", "C": "(2, 2)", "D": "No correct answer"}, "choices": []}] | A | mcq | Representing Positions Using Ordered Pairs | 3stpes_50 | 3steps_1 | |
1131 | [{"role": "user", "question": "As shown in the figure, use a ruler to measure the length of the rectangle's side. What is the length of BC in cm?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Length (Using a Ruler) | 3stpes_51 | 3steps_1 | |
1132 | [{"role": "user", "question": "Lisa arranges several 1 cm edge-length cubic blocks into a rectangular cuboid. As shown in the figure, the images are views from the front and the top of the rectangular cuboid. What are the length, width, and height of this rectangular cuboid respectively in cm?", "hint": "", "options": ... | C | mcq | Observing Objects | 3stpes_52 | 3steps_1 | |
1133 | [{"role": "user", "question": "As shown in the figure, a cylindrical piece of wood is cut vertically along the diameter of its base into two parts. Compared to the original cylinder, the surface area increases by 60 dm². What is the area of the rectangle ABCD in the figure in dm²?", "hint": "", "options": {"A": "30", "... | A | mcq | Combining and Dividing Solids | 3stpes_53 | 3steps_1 | |
1134 | [{"role": "user", "question": "As shown in the figure, the area of the rectangle is 630 cm². What is the width of the rectangle in cm? ", "hint": "", "options": {"A": "21 cm", "B": "30 cm", "C": "25 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Rectangles | 3stpes_54 | 3steps_1 | |
1135 | [{"role": "user", "question": "As shown in the figure, using a protractor to measure one of the angles of the triangular glass fragment, the measured angle is ()°?", "hint": "", "options": {"A": "40", "B": "50", "C": "60", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Angles (Using a Protractor) | 3stpes_55 | 3steps_1 | |
1136 | [{"role": "user", "question": "As shown in the figure, using a triangular ruler to measure the angle ∠A, what is the degree of ∠A? ", "hint": "", "options": {"A": "30°", "B": "95°", "C": "110°", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Triangular Rulers | 3stpes_56 | 3steps_1 | |
1137 | [{"role": "user", "question": "As shown in the figure, use a protractor to measure one of the angles of the triangular glass shard. The measured angle is ()°?", "hint": "", "options": {"A": "40", "B": "50", "C": "60", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Angles (Using a Protractor) | 3stpes_57 | 3steps_1 | |
1138 | [{"role": "user", "question": "As shown in the figure, using a ruler to measure the side lengths of triangle ABC, what type of triangle is triangle ABC?", "hint": "", "options": {"A": "Isosceles", "B": "Right-angled", "C": "Equilateral", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Length (Using a Ruler) | 3stpes_58 | 3steps_1 | |
1139 | [{"role": "user", "question": "As shown in the figure, the protractor measures the degree of ∠B as ()°?", "hint": "", "options": {"A": "42", "B": "50", "C": "60", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Angles (Using a Protractor) | 3stpes_59 | 3steps_1 | |
114 | [{"role": "user", "question": "As shown in the diagram, if shape ABC is reflected across axis BC to create a symmetrical shape, the resulting shape is triangle ( ).", "hint": "", "options": {"A": "ACF", "B": "ABD", "C": "BCE", "D": "No correct answer"}, "choices": []}] | C | mcq | Axial Symmetry | 2steps_114 | 2steps_1 | |
1140 | [{"role": "user", "question": "As shown in the figure, what is the degree measure of the angle measured with the protractor? ( )°?", "hint": "", "options": {"A": "110", "B": "100", "C": "90", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Angles (Using a Protractor) | 3stpes_60 | 3steps_1 | |
1141 | [{"role": "user", "question": "As shown in the figure, what is the degree measure of ∠3 using the protractor? ( )°?", "hint": "", "options": {"A": "40", "B": "50", "C": "60", "D": "No correct answer"}, "choices": []}] | B | mcq | Understanding Angles (Using a Protractor) | 3stpes_61 | 3steps_1 | |
1142 | [{"role": "user", "question": "As shown in the figure, what is the measure of ∠B using the protractor? ( )°?", "hint": "", "options": {"A": "40", "B": "50", "C": "60", "D": "No correct answer"}, "choices": []}] | B | mcq | Understanding Angles (Using a Protractor) | 3stpes_62 | 3steps_1 | |
1143 | [{"role": "user", "question": "As shown in the figure, what is the measure of the angle using the protractor? ( )°?", "hint": "", "options": {"A": "67", "B": "50", "C": "60", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Angles (Using a Protractor) | 3stpes_63 | 3steps_1 | |
1144 | [{"role": "user", "question": "As shown in the figure, using a triangular ruler to measure the degree of ∠3, what is the angle in degrees? ", "hint": "", "options": {"A": "30", "B": "50", "C": "60", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Triangular Rulers | 3stpes_64 | 3steps_1 | |
1145 | [{"role": "user", "question": "As shown in the figure, the protractor measures the degree of angle ∠B as ()°?", "hint": "", "options": {"A": "80°", "B": "60°", "C": "85°", "D": "70°", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Angles (Using a Protractor) | 3stpes_65 | 3steps_1 | |
1146 | [{"role": "user", "question": "As shown in the figure, the measure of angle ∠1 using a triangular ruler is ( ).", "hint": "", "options": {"A": "90°", "B": "60°", "C": "45°", "D": "30°", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Triangular Rulers | 3stpes_66 | 3steps_1 | |
1147 | [{"role": "user", "question": "The figure below shows a rectangular piece of paper. Using a protractor, the measure of ∠1 is ( ).", "hint": "", "options": {"A": "50°", "B": "60°", "C": "65°", "D": "70°", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Angles (Using a Protractor) | 3stpes_67 | 3steps_1 | |
1148 | [{"role": "user", "question": "The volume of each small cube is shown in the diagram. What is the volume of the small cube in cubic centimeters?", "hint": "", "options": {"A": "10", "B": "1", "C": "0.1", "D": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_68 | 3steps_1 | |
1149 | [{"role": "user", "question": "As shown in the figure, using a ruler to measure the length of the rectangular cuboid is () cm.", "hint": "", "options": {"A": "10", "B": "5", "C": "4", "D": "8", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Length (Using a Ruler) | 3stpes_69 | 3steps_1 | |
115 | [{"role": "user", "question": "As shown in the diagram, AD is the axis of symmetry for triangle ABC. What are the lengths of AB and BD in centimeters?", "hint": "", "options": {"A": "5, 4", "B": "5, 3", "C": "4, 3", "D": "6, 3", "E": "No correct answer"}, "choices": []}] | B | mcq | Axial Symmetry | 2steps_115 | 2steps_1 | |
1150 | [{"role": "user", "question": "As shown in the figure, a cube with a surface area of 24 cm² is cut off from a rectangular cuboid. What is the edge length of the small cube in cm?", "hint": "", "options": {"A": "4", "B": "6", "C": "2", "D": "No correct answer"}, "choices": []}] | C | mcq | Surface Area of Cubes | 3stpes_70 | 3steps_1 | |
1151 | [{"role": "user", "question": "The white part in the figure is composed of 4 identical sectors. These four sectors can be combined to form ( )", "hint": "", "options": {"A": "A semicircle", "B": "A circle", "C": "A sector that is neither a semicircle nor a circle", "D": "No correct answer"}, "choices": []}] | B | mcq | Understanding Sectors | 3stpes_71 | 3steps_1 | |
1152 | [{"role": "user", "question": "Using a piece of wire, you can form the following square ①. The perimeter of the square is () cm.", "hint": "", "options": {"A": "5", "B": "20", "C": "10", "D": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Squares | 3stpes_72 | 3steps_1 | |
1153 | [{"role": "user", "question": "As shown in the figure, the diameter L of the semicircle is close to the circumference of the small circle on the left. Which of the following lengths is closest to L? (π=3.14)", "hint": "", "options": {"A": "40", "B": "30", "C": "50", "D": "No correct answer"}, "choices": []}] | A | mcq | Circumference of Circles | 3stpes_73 | 3steps_1 | |
1154 | [{"role": "user", "question": "As shown in the figure, the volume of the small cube is 1 cm³. What is the edge length of the small cube? ( )", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | D | mcq | Volume and Capacity of Cubes | 3stpes_74 | 3steps_1 | |
1155 | [{"role": "user", "question": "As shown in the figure, quadrilateral OABC is a right trapezoid. Then ∠OAB = ∠ABC = ( )° ", "hint": "", "options": {"A": "45", "B": "60", "C": "72", "D": "90", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Trapezoids | 3stpes_75 | 3steps_1 | |
1156 | [{"role": "user", "question": "As shown in the figure, the 3D shape on the right is obtained by rotating the right-angled trapezoid on the left around its bottom edge by 360 degrees. This 3D shape can be divided into ( )", "hint": "", "options": {"A": "Cone, Cylinder", "B": "Cone, Cone", "C": "Cylinder, Cylinder", "D":... | A | mcq | Combining and Dividing Solids | 3stpes_76 | 3steps_1 | |
1157 | [{"role": "user", "question": "As shown in the figure, an empty rectangular cuboid water tank is being filled with water by Mike using a conical container. What is the volume of the rectangular cuboid water tank in cubic decimeters (m³)?", "hint": "", "options": {"A": "3.14", "B": "25.12", "C": "12.56", "D": "6.28", "E... | D | mcq | Volume and Capacity of Rectangular Cuboids | 3stpes_77 | 3steps_1 | |
1158 | [{"role": "user", "question": "As shown in the figure, which desks are in front of Lucy? ( )", "hint": "", "options": {"A": "Desks ①②", "B": "Desks ③④", "C": "Desks ②④", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Front-Back Position | 3stpes_78 | 3steps_1 | |
1159 | [{"role": "user", "question": "As shown in the figure, which desks are behind Lucy? ( )", "hint": "", "options": {"A": "Desks ①②", "B": "Desks ③④", "C": "Desks ②④", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Front-Back Position | 3stpes_79 | 3steps_1 | |
116 | [{"role": "user", "question": "As shown in the diagram, HG is the axis of symmetry for trapezoid ABCD. Then, AC equals ( ) cm, GC equals ( ) cm, and AH equals ( ) cm.", "hint": "", "options": {"A": "5, 4, 2", "B": "5, 5, 2", "C": "5, 4, 3", "D": "5, 5, 3", "E": "No correct answer"}, "choices": []}] | B | mcq | Axial Symmetry | 2steps_116 | 2steps_1 | |
1160 | [{"role": "user", "question": "As shown in the figure, there are two stacks of rectangular cuboids. Which rectangular cuboids are placed on the left in the figure ( )?", "hint": "", "options": {"A": "①②", "B": "③④", "C": "②④", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Left-Right Position | 3stpes_80 | 3steps_1 | |
1161 | [{"role": "user", "question": "As shown in the figure, which boxes are placed in front of Lucy? ( )", "hint": "", "options": {"A": "①③", "B": "③④", "C": "②④", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Front-Back Position | 3stpes_81 | 3steps_1 | |
1162 | [{"role": "user", "question": "As shown in the figure, a student is in the classroom. The blackboard at the front of the classroom is ( ).", "hint": "", "options": {"A": "②", "B": "①", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | B | mcq | Front-Back Position | 3stpes_82 | 3steps_1 | |
1163 | [{"role": "user", "question": "As shown in the figure, what is the length of EG in cm in sector EGF?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors | 3stpes_83 | 3steps_1 | |
1164 | [{"role": "user", "question": "As shown in the figure, given that the perimeter of square ABCD is 12 cm, 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 | Perimeter of Squares | 3stpes_84 | 3steps_1 | |
1165 | [{"role": "user", "question": "As shown in the figure, there are three cylinders. Which cylinder has a base diameter of 50 cm?", "hint": "", "options": {"A": "①", "B": "③", "C": "②", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Length Units | 3stpes_85 | 3steps_1 | |
1166 | [{"role": "user", "question": "As shown in the figure, which line is parallel to line l ( )?", "hint": "", "options": {"A": "①", "B": "③", "C": "②", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Parallel | 3stpes_86 | 3steps_1 | |
1167 | [{"role": "user", "question": "As shown in the figure, given that the perimeter of parallelogram ABCD is 51.4 cm, then BC = ( ) cm", "hint": "", "options": {"A": "20", "B": "10", "C": "15.7", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Parallelograms | 3stpes_87 | 3steps_1 | |
1168 | [{"role": "user", "question": "As shown in the figure, in the square ABCD, what is the length of side CD ( ) cm?", "hint": "", "options": {"A": "6.28", "B": "3.14", "C": "12.56", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Squares | 3stpes_88 | 3steps_1 | |
1169 | [{"role": "user", "question": "Now Mike is facing the school. If he wants to go to the school, which direction should he go? ()", "hint": "", "options": {"A": "Go forward", "B": "Go backward", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Front-Back Position | 3stpes_89 | 3steps_1 | |
117 | [{"role": "user", "question": "As shown in the diagram, HG is the axis of symmetry for quadrilateral ABCD. Then AC ( ) BD.", "hint": "", "options": {"A": "=", "B": ">", "C": "<", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Axial Symmetry | 2steps_117 | 2steps_1 | |
1170 | [{"role": "user", "question": "As shown in the figure, observe the two triangular rulers. The measures of ∠1 and ∠2 are respectively ( )", "hint": "", "options": {"A": "45°, 60°", "B": "45°, 45°", "C": "45°, 30°", "D": "30°, 30°", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Triangular Rulers | 3stpes_90 | 3steps_1 | |
1171 | [{"role": "user", "question": "As shown in the diagram, there is a square marked A on the cube. Which of the following is correctly colored on the bottom of A? ()", "hint": "", "options": {"A": "①", "B": "②", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Up-Down Position | 3stpes_91 | 3steps_1 | |
1172 | [{"role": "user", "question": "As shown in the figure, if the A corner of the rectangle is folded along ED, then AE = ( ) cm", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | B | mcq | Folding Problems of Figures | 3stpes_92 | 3steps_1 | |
1173 | [{"role": "user", "question": "As shown in the diagram, there are four paths from O to D. Which one is the shortest? ( )", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "④", "E": "No correct answer"}, "choices": []}] | B | mcq | Distance Between Two Points | 3stpes_93 | 3steps_1 | |
1174 | [{"role": "user", "question": "As shown in the figure, the ray in the diagram is ( )", "hint": "", "options": {"A": "L1", "B": "L2", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Line Segments, Lines, and Rays | 3stpes_94 | 3steps_1 | |
1175 | [{"role": "user", "question": "The base area of the cone shown in the figure is () cm².", "hint": "", "options": {"A": "1000", "B": "10", "C": "0.1", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Area Units | 3stpes_95 | 3steps_1 | |
1176 | [{"role": "user", "question": "As shown in the figure, there is a square cross-section ABCD within a cylinder. The perimeter of the square is 16 cm. What is the length of AB in cm?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Squares | 3stpes_96 | 3steps_1 | |
1177 | [{"role": "user", "question": "Given that the lateral surface area of a cylinder, when unfolded, forms a square (with a known perimeter), what is the side length of the square in cm?", "hint": "", "options": {"A": "3.14", "B": "1.05", "C": "5", "D": "6.28", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Squares | 3stpes_97 | 3steps_1 | |
1178 | [{"role": "user", "question": "When Linlin measured the area of a rectangle, she used small squares to form the pattern shown in the figure. Assuming each small square has a side length of 1 centimeter, what are the length and width of the large rectangle in centimeters?", "hint": "", "options": {"A": "9, 5", "B": "9, ... | A | mcq | Observing Figures | 3stpes_98 | 3steps_1 |
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