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value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
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512 | [{"role": "user", "question": "As shown in the diagram, OC equals ( ) cm.", "hint": "", "options": {"A": "3 cm", "B": "4 cm", "C": "5 cm", "D": "6 cm", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Rectangles | 2steps_152 | 2steps_2 | |
513 | [{"role": "user", "question": "As shown in the diagram, if the shortest path from A to C is path ②, then BD equals ( ) cm.", "hint": "", "options": {"A": "10", "B": "7", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Rectangles | 2steps_153 | 2steps_2 | |
514 | [{"role": "user", "question": "As shown in the diagram, Xiaoxue used a set of triangular boards to form an angle. The degree of ∠1 is ( ).", "hint": "", "options": {"A": "105°", "B": "135°", "C": "120°", "D": "No correct answer"}, "choices": []}] | B | mcq | Calculation and Comparison of Angles | 2steps_154 | 2steps_2 | |
515 | [{"role": "user", "question": "Among the angles in the triangle below, ∠2 = 30°, ∠3 = 45°, ∠1 is ( )", "hint": "", "options": {"A": "90 degrees", "B": "120 degrees", "C": "105 degrees", "D": "No correct answer"}, "choices": []}] | C | mcq | Calculation and Comparison of Angles | 2steps_155 | 2steps_2 | |
516 | [{"role": "user", "question": "Among the three triangles below, the angles ∠2, ∠3, and ∠4 are 45°, 90°, and 30° respectively. What is the degree measure of ∠1?", "hint": "", "options": {"A": "30 degrees", "B": "20 degrees", "C": "15 degrees", "D": "No correct answer"}, "choices": []}] | C | mcq | Calculation and Comparison of Angles | 2steps_156 | 2steps_2 | |
517 | [{"role": "user", "question": "As shown in the diagram, a triangular plate is placed on a rectangular sheet of paper. If ∠2 = 60°, then ∠1 = ( ).", "hint": "", "options": {"A": "30°", "B": "60°", "C": "45°", "D": "90°", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Rectangles | 2steps_157 | 2steps_2 | |
518 | [{"role": "user", "question": "As shown in the diagram, ∠1 = 60°. Therefore, B is in which direction relative to A?", "hint": "", "options": {"A": "60° north by west", "B": "60° south by east", "C": "30° south by east", "D": "60° south by west", "E": "No correct answer"}, "choices": []}] | B | mcq | Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_158 | 2steps_2 | |
519 | [{"role": "user", "question": "As shown in the diagram, an isosceles right triangle board is stacked with three circles. Circles 2 and 3 are identical. It is known that the circumference of circle 1 is 10 cm. What is the circumference of circle 2?", "hint": "", "options": {"A": "4 cm", "B": "6 cm", "C": "5 cm", "D": "N... | C | mcq | Circumference of Circles | 2steps_159 | 2steps_2 | |
52 | [{"role": "user", "question": "The figure below shows a rectangle paper, after folding the left side, ∠2 ( ) ∠3.", "hint": "", "options": {"A": ">", "B": "=", "C": "<", "D": "No correct answer"}, "choices": []}] | B | mcq | Folding Problems of Figures | 2steps_52 | 2steps_1 | |
520 | [{"role": "user", "question": "As shown in the diagram, there is a rectangular piece of paper ABCD. Xiao Ming placed a triangular ruler at the edge DE on the bottom of the paper, with ∠1 = 60°, and folded the left side of the paper against the edge of the triangular ruler. What is the degree measure of the folded angle... | B | mcq | Folding Problems of Figures | 2steps_160 | 2steps_2 | |
521 | [{"role": "user", "question": "As shown in the diagram, this angle (∠3) formed by two triangular rulers is equal to ( ).", "hint": "", "options": {"A": "30°", "B": "60°", "C": "90°", "D": "45°", "E": "No correct answer"}, "choices": []}] | B | mcq | Calculation and Comparison of Angles | 2steps_161 | 2steps_2 | |
522 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is a cross-section of a cone. It is known that ∠1 = 45°. ∠2=( ) ?", "hint": "", "options": {"A": "30°", "B": "45°", "C": "60°", "D": "90°", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties of Cones | 2steps_162 | 2steps_2 | |
523 | [{"role": "user", "question": "In the diagram below, the vertex of the angle is C, which is represented by the coordinate pair ().", "hint": "", "options": {"A": "(1, 3)", "B": "(2, 2)", "C": "(1, 1)", "D": "No correct answer"}, "choices": []}] | C | mcq | Representing Positions Using Ordered Pairs | 2steps_163 | 2steps_2 | |
524 | [{"role": "user", "question": "As shown in the diagram, among the following shapes, the sum of the interior angles of shape ③ is ( ).", "hint": "", "options": {"A": "180°", "B": "360°", "C": "480°", "D": "540°", "E": "No correct answer"}, "choices": []}] | D | mcq | Sum of Interior Angles of Other Polygons | 2steps_164 | 2steps_2 | |
525 | [{"role": "user", "question": "If it is a composite figure consisting of a rectangle and a square, ∠2= 45°,then ∠1 ( ) ∠2.", "hint": "", "options": {"A": "Greater than", "B": "Equal to", "C": "Less than", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Rectangles | 2steps_165 | 2steps_2 | |
526 | [{"role": "user", "question": "The figure below is composed of five identical squares. It is known that the base of triangle a is equal to the base of triangle b, and the height of triangle a is equal to the height of triangle b. What is the relationship between the areas of the two triangles?", "hint": "", "options": ... | A | mcq | Area of Triangles | 2steps_166 | 2steps_2 | |
527 | [{"role": "user", "question": "The perimeter of the rectangle below is ( ) decimeters.", "hint": "", "options": {"A": "48", "B": "36", "C": "24", "D": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Rectangles | 2steps_167 | 2steps_2 | |
528 | [{"role": "user", "question": "A square paper ABCD is folded along edge AD at point P such that it aligns with diagonal BD, and ∠ADB = 45°. What is the degree measure of ∠ADP?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "22.5°", "D": "45°", "E": "No correct answer"}, "choices": []}] | C | mcq | Folding Problems of Figures | 2steps_168 | 2steps_2 | |
529 | [{"role": "user", "question": "As shown in the diagram, square ABCD is the unfolded side surface of a cylinder. The height of the cylinder is ( ) cm.", "hint": "", "options": {"A": "3.14", "B": "6.28", "C": "9.42", "D": "No correct answer"}, "choices": []}] | B | mcq | Expanded View of Cylinders | 2steps_169 | 2steps_2 | |
53 | [{"role": "user", "question": "As shown in the diagram, a square card with a side length of 6 cm is folded in half. What are the length and width of the resulting rectangle in cm?", "hint": "", "options": {"A": "6-6", "B": "3-3", "C": "6-3", "D": "No correct answer"}, "choices": []}] | C | mcq | Folding Problems of Figures | 2steps_53 | 2steps_1 | |
530 | [{"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_170 | 2steps_2 | |
531 | [{"role": "user", "question": "As shown in the diagram, what is the length of the arc of the sector?", "hint": "", "options": {"A": "2π", "B": "4π", "C": "8π", "D": "No correct answer"}, "choices": []}] | B | mcq | Understanding Sectors | 2steps_171 | 2steps_2 | |
532 | [{"role": "user", "question": "The figure below is a parallelogram. Calculate its perimeter based on the side lengths given in the diagram (unit: cm).", "hint": "", "options": {"A": "12", "B": "14", "C": "16", "D": "18", "E": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Parallelograms | 2steps_172 | 2steps_2 | |
533 | [{"role": "user", "question": "Given that ∠C is 60°, as shown in the diagram, in which direction is point A from point C?", "hint": "", "options": {"A": "60° south by west", "B": "60° south by east", "C": "30° west by north", "D": "30° north by west", "E": "No correct answer"}, "choices": []}] | D | mcq | Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_173 | 2steps_2 | |
534 | [{"role": "user", "question": "In an isosceles triangle (as shown in the diagram), the vertex angle is 30°, and ∠1 = ∠2. What is the measure of ∠1? ", "hint": "", "options": {"A": "150°", "B": "70°", "C": "75°", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 2steps_174 | 2steps_2 | |
535 | [{"role": "user", "question": "Given the triangle in the diagram below is an isosceles triangle, find the length of the third side ( ).", "hint": "", "options": {"A": "3 cm", "B": "6 cm", "C": "12 cm", "D": "8 cm", "E": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles | 2steps_175 | 2steps_2 | |
536 | [{"role": "user", "question": "Among triangles ① and ③ which are right-angled triangles, and triangle ② which is an acute-angled triangle, which two triangles can be combined to form a rectangle?", "hint": "", "options": {"A": "① and ②", "B": "② and ③", "C": "① and ③", "D": "No correct answer"}, "choices": []}] | C | mcq | Combining Plane Figures | 2steps_176 | 2steps_2 | |
537 | [{"role": "user", "question": "As shown in the diagram, there is an equilateral triangle within a rectangle. If ∠2 = 60°, then the degree measure of ∠1 is ( ).", "hint": "", "options": {"A": "13°", "B": "12°", "C": "17°", "D": "30°", "E": "No correct answer"}, "choices": []}] | C | mcq | Calculation and Comparison of Angles | 2steps_177 | 2steps_2 | |
538 | [{"role": "user", "question": "As shown in the diagram, two identical isosceles right triangles are combined to form a parallelogram. The perimeter is reduced by 20 cm. What is the area of this parallelogram in square centimeters?", "hint": "", "options": {"A": "100", "B": "200", "C": "50", "D": "40", "E": "No correct ... | A | mcq | Area of Parallelograms | 2steps_178 | 2steps_2 | |
539 | [{"role": "user", "question": "As shown in the diagram, quadrilateral ABCD is a trapezoid composed of three right triangles, with AB=2.4cm, CD=1.6cm. The area of the trapezoid is ( ).", "hint": "", "options": {"A": "1.92cm²", "B": "16cm²", "C": "4cm²", "D": "8cm²", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Trapezoids | 2steps_179 | 2steps_2 | |
54 | [{"role": "user", "question": "As shown in the diagram, when a rectangular piece of paper is folded as illustrated, angles ∠1 and ∠2 are equal. What is the relationship between ∠1, ∠2, and ∠3?", "hint": "", "options": {"A": "∠1 = ∠2 < ∠3", "B": "∠1 < ∠2 < ∠3", "C": "∠1 = ∠2 = ∠3", "D": "No correct answer"}, "choices": ... | C | mcq | Folding Problems of Figures | 2steps_54 | 2steps_1 | |
540 | [{"role": "user", "question": "As shown in the diagram, in right triangle ABC, it is known that AB is perpendicular to BC. The shortest distance from point A to side BC is ( ).", "hint": "", "options": {"A": "Segment AB", "B": "Segment AP", "C": "Segment AC", "D": "Segment BC", "E": "No correct answer"}, "choices": ... | A | mcq | perpendicularity | 2steps_180 | 2steps_2 | |
541 | [{"role": "user", "question": "As shown in the diagram, it is known that the third side of the triangle is 4 cm. What is the perimeter (in cm)?", "hint": "", "options": {"A": "16", "B": "18", "C": "29", "D": "31", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Triangles | 2steps_181 | 2steps_2 | |
542 | [{"role": "user", "question": "As shown in the diagram, it is known that the third side of the triangle is 3 cm, what is the perimeter ( ) cm?", "hint": "", "options": {"A": "15", "B": "16", "C": "17", "D": "28", "E": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Triangles | 2steps_182 | 2steps_2 | |
543 | [{"role": "user", "question": "Choose three of the following sticks from pile ① to form an isosceles triangle. The perimeter of this triangle is ( ).", "hint": "", "options": {"A": "11 cm", "B": "12 cm", "C": "13 cm", "D": "14 cm", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Triangles | 2steps_183 | 2steps_2 | |
544 | [{"role": "user", "question": "To form a triangle using three sticks from pile ① ,What is the perimeter of this triangle?", "hint": "", "options": {"A": "7cm", "B": "8cm", "C": "10cm", "D": "12cm", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Triangles | 2steps_184 | 2steps_2 | |
545 | [{"role": "user", "question": "The two adjacent sides of a parallelogram are 5 cm and 7 cm long, respectively (as shown in the diagram). The area of this parallelogram is ( ).", "hint": "", "options": {"A": "30 square centimeters", "B": "35 square centimeters", "C": "36 square centimeters", "D": "42 square centimete... | A | mcq | Area of Parallelograms | 2steps_185 | 2steps_2 | |
546 | [{"role": "user", "question": "As shown in the diagram, it is known that point D cannot be connected with the red points to form a parallelogram. The position of point D, represented as a coordinate pair, is ( )?", "hint": "", "options": {"A": "(5, 1)", "B": "(5, 5)", "C": "(1, 7)", "D": "(5, 7)", "E": "No correct a... | D | mcq | Representing Positions Using Ordered Pairs | 2steps_186 | 2steps_2 | |
547 | [{"role": "user", "question": "As shown in the diagram, M is the midpoint of triangle ABC, and the area of triangle ABC is 18.4 m². What is the area of the shaded triangle in m²?", "hint": "", "options": {"A": "18.4", "B": "9.2", "C": "12.4", "D": "6.2", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Triangles | 2steps_187 | 2steps_2 | |
548 | [{"role": "user", "question": "In the trapezoid shown in the diagram. The area of the trapezoid is ( ) cm².", "hint": "", "options": {"A": "115", "B": "120", "C": "145", "D": "165", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Trapezoids | 2steps_188 | 2steps_2 | |
549 | [{"role": "user", "question": "Uncle Wang used a 48-meter long fence to enclose a square chicken coop against a wall. Given that the side length of the square is 16 meters, the area of this chicken coop is ( ) m².", "hint": "", "options": {"A": "144", "B": "256", "C": "2304", "D": "No correct answer"}, "choices": []... | B | mcq | Area of Squares | 2steps_189 | 2steps_2 | |
55 | [{"role": "user", "question": "The figure below shows a rectangle folded. ∠2 is ( )", "hint": "", "options": {"A": "35°", "B": "65°", "C": "50°", "D": "No correct answer"}, "choices": []}] | B | mcq | Folding Problems of Figures | 2steps_55 | 2steps_1 | |
550 | [{"role": "user", "question": "As shown in the diagram, if the side length of the square is 8 cm, what is the area of the parallelogram?", "hint": "", "options": {"A": "32 cm²", "B": "64 cm²", "C": "48 cm²", "D": "72 cm²", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Parallelograms | 2steps_190 | 2steps_2 | |
551 | [{"role": "user", "question": "As shown in the diagram, if the side length of a square is 2.5 cm, what is the area of the parallelogram in cm²?", "hint": "", "options": {"A": "4", "B": "6.25", "C": "25", "D": "100", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Parallelograms | 2steps_191 | 2steps_2 | |
552 | [{"role": "user", "question": "As shown in the diagram, if the side length of the square is 5 cm, what is the area of the shaded parallelogram in cm²?", "hint": "", "options": {"A": "10", "B": "16", "C": "20", "D": "25", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Parallelograms | 2steps_192 | 2steps_2 | |
553 | [{"role": "user", "question": "As shown in the diagram, square ABCD is the unfolded lateral surface of a cylinder, it is known that its perimeter is 25.12 cm, meaning BC = 6.28 cm. What are the circumference of the cylinder's base and the height of the cylinder, respectively, in cm?", "hint": "", "options": {"A": "6.28... | A | mcq | Expanded View of Cylinders | 2steps_193 | 2steps_2 | |
554 | [{"role": "user", "question": "As shown in the diagram, A, B, C, and D are the centers of four equal circles, respectively. The line EF passes through B and C. Given that the quadrilateral ABCD is a square with a side length of 4 cm, what is the length of EF in cm?", "hint": "", "options": {"A": "4", "B": "8", "C": "12... | C | mcq | Understanding Circles | 2steps_194 | 2steps_2 | |
555 | [{"role": "user", "question": "As shown in the diagram, there is a circle inside a square. The circumference of this circle is ( ) cm.(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_195 | 2steps_2 | |
556 | [{"role": "user", "question": "As shown in the diagram, it is known that CD = 8 cm, and line l1 is parallel to line l2. What is the length of EF in cm?", "hint": "", "options": {"A": "32", "B": "16", "C": "8", "D": "4", "E": "No correct answer"}, "choices": []}] | C | mcq | Parallel | 2steps_196 | 2steps_2 | |
557 | [{"role": "user", "question": "As shown in the diagram, rectangle ABCD is formed by a piece of wire. If side CD is cut and used to form a cube, then the edge length of the cube is ( ) cm.", "hint": "", "options": {"A": "4 cm", "B": "5 cm", "C": "3 cm", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Cubes | 2steps_197 | 2steps_2 | |
558 | [{"role": "user", "question": "A trapezoidal vegetable garden is built against a wall. What is the area of this vegetable garden (____) square meters?", "hint": "", "options": {"A": "720", "B": "660", "C": "360", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Trapezoids | 2steps_198 | 2steps_2 | |
559 | [{"role": "user", "question": "Uncle Wang has a trapezoidal vegetable plot against a wall. It is known that the sum of the lengths of the top and bottom bases of the trapezoid is 8 meters. The area of this vegetable plot is ( ) square meters.", "hint": "", "options": {"A": "28", "B": "56", "C": "105", "D": "52.5", "... | A | mcq | Area of Trapezoids | 2steps_199 | 2steps_2 | |
56 | [{"role": "user", "question": "As shown in the diagram, a triangle is folded along the two dashed lines shown, and both folds result in the sides along the crease completely overlapping. This indicates that:", "hint": "", "options": {"A": "All three sides of the triangle are equal", "B": "Only two sides of the triangle... | A | mcq | Folding Problems of Figures | 2steps_56 | 2steps_1 | |
560 | [{"role": "user", "question": "As shown in the diagram, quadrilateral GBCD is an isosceles trapezoid, quadrilateral ABCD is a parallelogram, and quadrilateral AECB is a right-angled trapezoid. The area of the parallelogram ABCD is ( ) square centimeters.", "hint": "", "options": {"A": "44", "B": "65", "C": "50", "D": "... | C | mcq | Area of Parallelograms | 2steps_200 | 2steps_2 | |
561 | [{"role": "user", "question": "As shown in the diagram, quadrilateral GBCD is an isosceles trapezoid with a perimeter of 40cm. What is the area of the right-angled trapezoid HBCD in square centimeters?", "hint": "", "options": {"A": "40", "B": "55", "C": "110", "D": "No correct answer"}, "choices": []}] | B | mcq | Area of Trapezoids | 2steps_201 | 2steps_2 | |
562 | [{"role": "user", "question": "Using the wire below to form a rectangle, it is impossible for the length and width of the rectangle to be ( )", "hint": "", "options": {"A": "6, 3", "B": "7, 5", "C": "5, 4", "D": "8, 1", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Rectangles | 2steps_202 | 2steps_2 | |
563 | [{"role": "user", "question": "As shown in the diagram, it is known that the perimeter of parallelogram ABCD is 16 cm. What is the perimeter of the trapezoid (in cm)?", "hint": "", "options": {"A": "15", "B": "16", "C": "18", "D": "20", "E": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Trapezoids | 2steps_203 | 2steps_2 | |
564 | [{"role": "user", "question": "As shown in the diagram, the perimeter of the parallelogram is ( ) dm.", "hint": "", "options": {"A": "11", "B": "2200", "C": "220", "D": "22", "E": "No correct answer"}, "choices": []}] | C | mcq | Conversion Rates and Calculations Between Length Units | 2steps_204 | 2steps_2 | |
565 | [{"role": "user", "question": "As shown in the diagram, it is known that the parallelogram ABCD is the lateral surface development of a cylinder, and BC = 20 cm. What is the circumference of the base of the cylinder ( ) cm?", "hint": "", "options": {"A": "10", "B": "60", "C": "20", "D": "No correct answer"}, "choice... | C | mcq | Expanded View of Cylinders | 2steps_205 | 2steps_2 | |
566 | [{"role": "user", "question": "As shown in the diagram, there is a square inside a circle with a radius of 2 cm. The area of the square is what fraction of the area of the circle?", "hint": "", "options": {"A": "π/2", "B": "2/π", "C": "4/π", "D": "No correct answer"}, "choices": []}] | B | mcq | Area of Circles | 2steps_206 | 2steps_2 | |
567 | [{"role": "user", "question": "If the area of the shaded part in the diagram is 16 square centimeters, what is the area of the annulus in the diagram?(π = 3.14)", "hint": "", "options": {"A": "50.24 square centimeters", "B": "64 square centimeters", "C": "56.24 square centimeters", "D": "25.12 square centimeters", "E":... | A | mcq | Area of Circles | 2steps_207 | 2steps_2 | |
568 | [{"role": "user", "question": "As shown in the diagram, the area of the colored part is 20 square centimeters. What is the area of the annulus in square centimeters?", "hint": "", "options": {"A": "20π", "B": "40π", "C": "200π", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Circles | 2steps_208 | 2steps_2 | |
569 | [{"role": "user", "question": "As shown in the diagram, there is a quarter-circle inside a square. If the side length of the square is 2 cm, then the area of the shaded part is ( ) cm².", "hint": "", "options": {"A": "π", "B": "2π", "C": "3π", "D": "4π", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Sectors | 2steps_209 | 2steps_2 | |
57 | [{"role": "user", "question": "As shown in the diagram, if angle A of the rectangle is folded along ED, then AE equals ( ) cm.", "hint": "", "options": {"A": "3 cm", "B": "2 cm", "C": "1 cm", "D": "4 cm", "E": "No correct answer"}, "choices": []}] | A | mcq | Folding Problems of Figures | 2steps_57 | 2steps_1 | |
570 | [{"role": "user", "question": "As shown in the diagram, given that the side length of the square is 10 meters, the area of the circle is ( ) square meters.", "hint": "", "options": {"A": "526", "B": "314", "C": "628", "D": "157", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Circles | 2steps_210 | 2steps_2 | |
571 | [{"role": "user", "question": "As shown in the diagram, the area of the shaded small square is 4 cm², and its side length is known to be 2 cm. What is the area of the circle in the diagram (in cm²)?(π = 3.14)", "hint": "", "options": {"A": "12.56", "B": "6.28", "C": "50.24", "D": "25.12", "E": "No correct answer"}, "ch... | A | mcq | Area of Circles | 2steps_211 | 2steps_2 | |
572 | [{"role": "user", "question": "As shown in the diagram, if the side length of each small square is 2cm, what is the perimeter of the bolded shape in the diagram ( ) cm?", "hint": "", "options": {"A": "12cm", "B": "24cm", "C": "28cm", "D": "6cm", "E": "No correct answer"}, "choices": []}] | C | mcq | Observing Figures | 2steps_212 | 2steps_2 | |
573 | [{"role": "user", "question": "As shown in the diagram, point B is represented by (2, 2), and point C is represented by (5, 2). The length of CD is marked in the diagram. What is the position of point D?", "hint": "", "options": {"A": "(4, 5)", "B": "(5, 4)", "C": "(2, 2)", "D": "No correct answer"}, "choices": []}] | B | mcq | Representing Positions Using Ordered Pairs | 2steps_213 | 2steps_2 | |
574 | [{"role": "user", "question": "In the diagram, the width of the rectangle is shown. What is the area of the shaded part (in square centimeters)?(π = 3.14)", "hint": "", "options": {"A": "50.24", "B": "25.12", "C": "12.56", "D": "6.88", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Sectors | 2steps_214 | 2steps_2 | |
575 | [{"role": "user", "question": "From a rectangle-shaped paper as shown in the diagram, a circle with an area close to 1 square centimeter is cut out. Which of the following options is closest to the area of the shaded part?", "hint": "", "options": {"A": "5 square centimeters", "B": "4 square centimeters", "C": "3 squar... | A | mcq | Area of Rectangles | 2steps_215 | 2steps_2 | |
576 | [{"role": "user", "question": "If the area of the ring shown in the diagram is 628 cm², then the area of the shaded part is ( ) cm². (π is taken as 3.14)", "hint": "", "options": {"A": "628", "B": "314", "C": "200", "D": "50", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Squares | 2steps_216 | 2steps_2 | |
577 | [{"role": "user", "question": "As shown in the diagram, there is a circular dining table with an approximate diameter of 8 dm. To cover this dining table with a square tablecloth, the store offers three sizes of tablecloths. The side length of the tablecloth should be at least ( ).", "hint": "", "options": {"A": "15... | C | mcq | Properties and Understanding of Squares | 2steps_217 | 2steps_2 | |
578 | [{"role": "user", "question": "As shown in the diagram, if the four sides of a square tabletop are lifted up, it becomes a round tabletop. What is the area of the square tabletop in square meters?", "hint": "", "options": {"A": "1", "B": "2", "C": "1/3π", "D": "2/3π", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Squares | 2steps_218 | 2steps_2 | |
579 | [{"role": "user", "question": "As shown in the diagram, the area of parallelogram ABCD is ( ) square centimeters.", "hint": "", "options": {"A": "24", "B": "16", "C": "8", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Parallelograms | 2steps_219 | 2steps_2 | |
58 | [{"role": "user", "question": "According to the diagram, observe the shapes in the grid below. Which shape cannot tile the plane around the pentagram? ", "hint": "", "options": {"A": "Circle", "B": "Square", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Tessellation of Figures | 2steps_58 | 2steps_1 | |
580 | [{"role": "user", "question": "As shown in the diagram, what is the surface area of this cylinder?", "hint": "", "options": {"A": "24π", "B": "20π", "C": "28π", "D": "No correct answer"}, "choices": []}] | A | mcq | Surface Area of Cylinders | 2steps_220 | 2steps_2 | |
581 | [{"role": "user", "question": "As shown in the diagram, the height of the trapezoid is 0.4m. The area of the trapezoid is ( ) m².", "hint": "", "options": {"A": "0.1", "B": "0.12", "C": "0.22", "D": "0.24", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Trapezoids | 2steps_221 | 2steps_2 | |
582 | [{"role": "user", "question": "The area of the trapezoid is ( ) square centimeters.", "hint": "", "options": {"A": "95", "B": "117", "C": "138", "D": "276", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Trapezoids | 2steps_222 | 2steps_2 | |
583 | [{"role": "user", "question": "As shown in the diagram, the area of parallelogram ABCD is ( ).", "hint": "", "options": {"A": "24", "B": "16", "C": "8", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Parallelograms | 2steps_223 | 2steps_2 | |
584 | [{"role": "user", "question": "As shown in the diagram, it is known that the area of triangle BCD is 6 cm², and BD = 4 cm. What is the perimeter of parallelogram ABCD in cm?", "hint": "", "options": {"A": "10", "B": "15", "C": "16", "D": "18", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Parallelograms | 2steps_224 | 2steps_2 | |
585 | [{"role": "user", "question": "As shown in the diagram, the area of the shape is () cm².", "hint": "", "options": {"A": "4000", "B": "40", "C": "20", "D": "2000", "E": "No correct answer"}, "choices": []}] | D | mcq | Conversion Rates and Calculations Between Area Units | 2steps_225 | 2steps_2 | |
586 | [{"role": "user", "question": "As shown in the diagram, the height between two parallel lines is 8 cm. What is the area of the circle (π is taken as 3.14) in cm²?", "hint": "", "options": {"A": "25.12", "B": "50.24", "C": "100.48", "D": "200.96", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Circles | 2steps_226 | 2steps_2 | |
587 | [{"role": "user", "question": "As shown in the diagram, it is known that ∠2 = 70°, ∠1 = ( )°", "hint": "", "options": {"A": "52", "B": "70", "C": "72", "D": "38", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 2steps_227 | 2steps_2 | |
588 | [{"role": "user", "question": "As shown in the diagram, a rectangle paper is folded to form a triangle. If ∠3 = 60°, then ∠1 = ( ).", "hint": "", "options": {"A": "60°", "B": "45°", "C": "30°", "D": "No correct answer"}, "choices": []}] | C | mcq | Folding Problems of Figures | 2steps_228 | 2steps_2 | |
589 | [{"role": "user", "question": "Given that ∠1 is 35°, as shown in the diagram, in which direction is point A from point B?", "hint": "", "options": {"A": "55° west by north", "B": "35° west by north", "C": "35° north by west", "D": "55° east by south", "E": "No correct answer"}, "choices": []}] | B | mcq | Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_229 | 2steps_2 | |
59 | [{"role": "user", "question": "According to the diagram, which of the following three shapes can tile a plane without gaps or overlaps? ", "hint": "", "options": {"A": "①; B．②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Tessellation of Figures | 2steps_59 | 2steps_1 | |
590 | [{"role": "user", "question": "Given a triangle with angles as shown in the diagram, what type of triangle is this?", "hint": "", "options": {"A": "Right-angled", "B": "Acute-angled", "C": "Obtuse-angled", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Triangles | 2steps_230 | 2steps_2 | |
591 | [{"role": "user", "question": "The triangle below is a ( ) triangle.", "hint": "", "options": {"A": "Right-angle", "B": "Acute-angle", "C": "Obtuse-angle", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Triangles | 2steps_231 | 2steps_2 | |
592 | [{"role": "user", "question": "Given that the triangle in the diagram is an isosceles triangle, what is the measure of angle 1? ", "hint": "", "options": {"A": "95°", "B": "145°", "C": "120°", "D": "No correct answer"}, "choices": []}] | C | mcq | Calculation and Comparison of Angles | 2steps_232 | 2steps_2 | |
593 | [{"role": "user", "question": "Part of a triangle is covered by an envelope as shown in the diagram. The sum of the two angles that are covered is 115°. What type of triangle was it originally?", "hint": "", "options": {"A": "Acute triangle", "B": "Right triangle", "C": "Obtuse triangle", "D": "Cannot be determined", "... | D | mcq | Properties and Understanding of Triangles | 2steps_233 | 2steps_2 | |
594 | [{"role": "user", "question": "As shown in the diagram, point M is located 40° north by east of point O. In which direction is point M from point P?", "hint": "", "options": {"A": "40° north by east", "B": "40° north by west", "C": "50° north by east", "D": "50° north by west", "E": "No correct answer"}, "choices": []}... | D | mcq | Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_234 | 2steps_2 | |
595 | [{"role": "user", "question": "Given that ∠A + ∠C = 130°, then ∠1 + ∠2 equals ( )", "hint": "", "options": {"A": "130°", "B": "230°", "C": "270°", "D": "310°", "E": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Other Polygons | 2steps_235 | 2steps_2 | |
596 | [{"role": "user", "question": "The triangle in the diagram below is a ( ) triangle.", "hint": "", "options": {"A": "Equilateral", "B": "Isosceles", "C": "Obtuse", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles | 2steps_236 | 2steps_2 | |
597 | [{"role": "user", "question": "Given that ∠A + ∠C = 100°, then ∠1 + ∠2 equals ( )", "hint": "", "options": {"A": "80°", "B": "100°", "C": "260°", "D": "270°", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Other Polygons | 2steps_237 | 2steps_2 | |
598 | [{"role": "user", "question": "Given that ∠1 is 55°, the sum of the degrees of ∠2 and ∠3 is ( )°.", "hint": "", "options": {"A": "200", "B": "250", "C": "260", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Other Polygons | 2steps_238 | 2steps_2 | |
599 | [{"role": "user", "question": "As shown in the diagram, ∠1 equals ( ).", "hint": "", "options": {"A": "30°", "B": "60°", "C": "45°", "D": "90°", "E": "No correct answer"}, "choices": []}] | B | mcq | Calculation and Comparison of Angles | 2steps_239 | 2steps_2 | |
6 | [{"role": "user", "question": "As shown in the diagram, if the diameter of the base of the cylinder is as shown, then the circumference of the base of the cylinder is ( )?", "hint": "", "options": {"A": "10 cm", "B": "15 cm", "C": "31.4 cm", "D": "62.8 cm", "E": "No correct answer"}, "choices": []}] | C | mcq | Circumference of Circles | 2steps_6 | 2steps_1 | |
60 | [{"role": "user", "question": "According to the diagram, which of the following three shapes cannot tile a plane? ", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | C | mcq | Tessellation of Figures | 2steps_60 | 2steps_1 | |
600 | [{"role": "user", "question": "Given that one of the interior angle of regular pentagon is 108°, what is ∠1 equal to?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "45°", "D": "72°", "E": "No correct answer"}, "choices": []}] | D | mcq | Calculation and Comparison of Angles | 2steps_240 | 2steps_2 | |
601 | [{"role": "user", "question": "As shown in the diagram, in this regular hexagon ∠1 = 120°. What is the area of the sector with a radius of 3 cm?", "hint": "", "options": {"A": "5π", "B": "4π", "C": "3π", "D": "2π", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Sectors | 2steps_241 | 2steps_2 |
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