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value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
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873 | [{"role": "user", "question": "As shown in the diagram, if the shortest path from A to C is 10 cm, then BD equals ( ) cm.", "hint": "", "options": {"A": "10", "B": "7", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Distance Between Two Points;Properties and Understanding of Rectangles | 2steps_153 | 2steps_multi | |
874 | [{"role": "user", "question": "As shown in the diagram, Xiaoxue used a set of triangular plates to piece together an angle. Its measure is ( ).", "hint": "", "options": {"A": "105°", "B": "135°", "C": "120°", "D": "No correct answer"}, "choices": []}] | B | mcq | Understanding Triangular Rulers;Calculation and Comparison of Angles | 2steps_154 | 2steps_multi | |
875 | [{"role": "user", "question": "As shown in the diagram, this is a set of triangular rulers. Calculate the degree of ∠1. ", "hint": "", "options": {"A": "90 degrees", "B": "120 degrees", "C": "105 degrees", "D": "No correct answer"}, "choices": []}] | C | mcq | Understanding Triangular Rulers;Calculation and Comparison of Angles | 2steps_155 | 2steps_multi | |
876 | [{"role": "user", "question": "As shown in the diagram, three triangular rulers are placed along a straight line. Angle 1 is ( ).", "hint": "", "options": {"A": "30 degrees", "B": "20 degrees", "C": "15 degrees", "D": "No correct answer"}, "choices": []}] | C | mcq | Understanding Triangular Rulers;Calculation and Comparison of Angles | 2steps_156 | 2steps_multi | |
877 | [{"role": "user", "question": "As shown in the diagram, a triangular plate is placed on a rectangular sheet of paper. What is the measure of ∠1?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "45°", "D": "90°", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Triangular Rulers;Properties and Understanding of Rectangles | 2steps_157 | 2steps_multi | |
878 | [{"role": "user", "question": "According to the diagram, observe the triangular plate. 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 | Understanding Triangular Rulers;Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_158 | 2steps_multi | |
879 | [{"role": "user", "question": "As shown in the diagram, a right-angle triangle plate is stacked with three circles. Circles number 2 and number 3 are identical. It is known that the circumference of circle number 1 is 10 cm. What is the circumference of circle number 2 in cm?", "hint": "", "options": {"A": "4 cm", "B":... | C | mcq | Understanding Triangular Rulers;Circumference of Circles | 2steps_159 | 2steps_multi | |
88 | [{"role": "user", "question": "From a cuboid, if you cut out the largest possible cube, then the edge length of this cube is ( ) cm.", "hint": "", "options": {"A": "4", "B": "8", "C": "6", "D": "No correct answer"}, "choices": []}] | A | mcq | Combining and Dividing Solids | 2steps_88 | 2steps_1 | |
880 | [{"role": "user", "question": "As shown in the diagram, there is a rectangle ABCD. Xiao Ming placed a triangular ruler at DE on the lower edge of the paper and folded the left side of the paper against the edge of the triangular ruler. What is the degree measure of the folded angle ∠2?", "hint": "", "options": {"A": "3... | B | mcq | Combining and Dividing Solids;Surface Area of Cylinders | 2steps_160 | 2steps_multi | |
881 | [{"role": "user", "question": "As shown in the diagram, this angle ∠3 formed by two triangular rulers equals ( )", "hint": "", "options": {"A": "30°", "B": "60°", "C": "90°", "D": "45°", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Triangular Rulers;Calculation and Comparison of Angles | 2steps_161 | 2steps_multi | |
882 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is a cross-section of a cone. What is the measure of ∠2?", "hint": "", "options": {"A": "30°", "B": "45°", "C": "60°", "D": "90°", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Triangular Rulers;Properties of Cones | 2steps_162 | 2steps_multi | |
883 | [{"role": "user", "question": "In the diagram below, the vertex of the angle is represented by which coordinate pair?", "hint": "", "options": {"A": "(1, 3)", "B": "(2, 2)", "C": "(1, 1)", "D": "No correct answer"}, "choices": []}] | C | mcq | Understanding and Representing Angles;Representing Positions Using Ordered Pairs | 2steps_163 | 2steps_multi | |
884 | [{"role": "user", "question": "As shown in the diagram, among the following shapes, the sum of the interior angles of the shape with five angles is ( )", "hint": "", "options": {"A": "180°", "B": "360°", "C": "480°", "D": "540°", "E": "No correct answer"}, "choices": []}] | D | mcq | Understanding and Representing Angles;Sum of Interior Angles of Other Polygons | 2steps_164 | 2steps_multi | |
885 | [{"role": "user", "question": "The figure below is a composite shape consisting of a rectangle and a square. Angle 1 ( ) Angle 2.", "hint": "", "options": {"A": "is greater than", "B": "is equal to", "C": "is less than", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Squares;Properties and Understanding of Rectangles | 2steps_165 | 2steps_multi | |
886 | [{"role": "user", "question": "The figure below is composed of five identical squares. The area relationship between the two triangles is ( ).", "hint": "", "options": {"A": "a = b", "B": "a > b", "C": "a < b", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Squares;Area of Triangles | 2steps_166 | 2steps_multi | |
887 | [{"role": "user", "question": "Using a rectangular sheet of paper, you can cut out two identical squares, each with a side length of 6 centimeters (as shown in the diagram). The original perimeter of the rectangle is ( ) centimeters.", "hint": "", "options": {"A": "48", "B": "36", "C": "24", "D": "No correct answer"... | B | mcq | Properties and Understanding of Squares;Perimeter of Rectangles | 2steps_167 | 2steps_multi | |
888 | [{"role": "user", "question": "Xiao Ming got a square piece of paper during origami class. The paper is the square ABCD as shown in the diagram. He connects diagonal BD and folds the edge AD of the square along DP so that it coincides with diagonal BD. What is the degree measure of ∠ADP?", "hint": "", "options": {"A": ... | C | mcq | Properties and Understanding of Squares;Folding Problems of Figures | 2steps_168 | 2steps_multi | |
889 | [{"role": "user", "question": "As shown in the diagram, the expand view of a cylinder is a square. What is the height of the cylinder (in cm)?", "hint": "", "options": {"A": "3.14", "B": "6.28", "C": "9.42", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Squares;Expanded View of Cylinders | 2steps_169 | 2steps_multi | |
89 | [{"role": "user", "question": "A rectangular cuboid with a length of 20 cm is cut into two sections along the cross-section shown in the diagram, resulting in an increase of 40 square cm in surface area. What is the area of the base of the rectangular cuboid?", "hint": "", "options": {"A": "160 square cm", "B": "80 squ... | D | mcq | Combining and Dividing Solids | 2steps_89 | 2steps_1 | |
890 | [{"role": "user", "question": "What is the area of the shaded part shown in the diagram?", "hint": "", "options": {"A": "4π", "B": "2π", "C": "8π", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Squares;Area of Sectors | 2steps_170 | 2steps_multi | |
891 | [{"role": "user", "question": "As shown in the diagram, what is the arc length of the shaded sector?", "hint": "", "options": {"A": "2π", "B": "4π", "C": "8π", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Squares;Understanding Sectors | 2steps_171 | 2steps_multi | |
892 | [{"role": "user", "question": "As shown in the diagram, an isosceles trapezoid is divided into a parallelogram and a triangle. The perimeter of the parallelogram is ( ). (Unit: cm)", "hint": "", "options": {"A": "24", "B": "20", "C": "18", "D": "16", "E": "No correct answer"}, "choices": []}] | D | mcq | Understanding Triangular Rulers;Properties and Understanding of Rectangles | 2steps_172 | 2steps_multi | |
893 | [{"role": "user", "question": "In the diagram, there is an equilateral triangle. Point A is located from point C in the direction of ( ).", "hint": "", "options": {"A": "60 degrees south by west", "B": "60 degrees south by east", "C": "30 degrees west by north", "D": "30 degrees north by west", "E": "No correct answ... | D | mcq | Properties and Understanding of Triangles;Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_173 | 2steps_multi | |
894 | [{"role": "user", "question": "In an isosceles triangle (as shown), the vertex angle is 30°. What is the measure of ∠1? ( ) degrees.", "hint": "", "options": {"A": "150°", "B": "70°", "C": "75°", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Triangles;Sum of Interior Angles of Triangles | 2steps_174 | 2steps_multi | |
895 | [{"role": "user", "question": "Find the length of the third side of the triangle shown in the diagram ( ).", "hint": "", "options": {"A": "3 cm", "B": "6 cm", "C": "12 cm", "D": "8 cm", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles;Sum of Interior Angles of Triangles | 2steps_175 | 2steps_multi | |
896 | [{"role": "user", "question": "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 | Properties and Understanding of Triangles;Combining Plane Figures | 2steps_176 | 2steps_multi | |
897 | [{"role": "user", "question": "As shown in the diagram, there is an equilateral triangle inside a rectangle. What is the measure of ∠1? ", "hint": "", "options": {"A": "13°", "B": "12°", "C": "17°", "D": "30°", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Triangles;Calculation and Comparison of Angles | 2steps_177 | 2steps_multi | |
898 | [{"role": "user", "question": "As shown in the diagram, two identical isosceles right triangles are combined to form a parallelogram. The perimeter has decreased by 20 cm. What is the area of this parallelogram now (in square centimeters)?", "hint": "", "options": {"A": "100", "B": "200", "C": "50", "D": "40", "E": "No... | A | mcq | Properties and Understanding of Triangles;Area of Parallelograms | 2steps_178 | 2steps_multi | |
899 | [{"role": "user", "question": "As shown in the diagram, quadrilateral ABCD is a trapezoid composed of three right triangles. Its area is ( ).", "hint": "", "options": {"A": "1.92 cm²", "B": "16 cm²", "C": "4 cm²", "D": "8 cm²", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Triangles;Area of Trapezoids | 2steps_179 | 2steps_multi | |
9 | [{"role": "user", "question": "As shown in the diagram, the block to the right of H is ( ).", "hint": "", "options": {"A": "F", "B": "D", "C": "B", "D": "I", "E": "No correct answer"}, "choices": []}] | D | mcq | Left-Right Position | 2steps_9 | 2steps_1 | |
90 | [{"role": "user", "question": "As shown in the diagram, a rectangular block with a length of 4 cm, a width of 2 cm, and a height of 3 cm is cut into two smaller rectangular blocks. There are three different ways to cut it, labeled as ①, ②, and ③. Among these three cutting methods, the one that results in the greatest i... | B | mcq | Combining and Dividing Solids | 2steps_90 | 2steps_1 | |
900 | [{"role": "user", "question": "In the right triangle ABC shown in the diagram, 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 | Properties and Understanding of Triangles;perpendicularity | 2steps_180 | 2steps_multi | |
901 | [{"role": "user", "question": "The possible perimeter of the triangle shown in the diagram could be ( ) centimeters.", "hint": "", "options": {"A": "16", "B": "18", "C": "29", "D": "31", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles;Perimeter of Triangles | 2steps_181 | 2steps_multi | |
902 | [{"role": "user", "question": "The possible perimeter of the triangle in the diagram is ( ) centimeters.", "hint": "", "options": {"A": "15", "B": "16", "C": "17", "D": "28", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Triangles;Perimeter of Triangles | 2steps_182 | 2steps_multi | |
903 | [{"role": "user", "question": "Among the three piles of small sticks below, choose one pile to form an isosceles triangle. The perimeter of this triangle is ( ).", "hint": "", "options": {"A": "11cm", "B": "11cm or 9cm", "C": "11cm or 6cm", "D": "14cm", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Triangles;Perimeter of Triangles | 2steps_183 | 2steps_multi | |
904 | [{"role": "user", "question": "Among the three piles of sticks below, to form a triangle. The perimeter of this triangle is ( ).", "hint": "", "options": {"A": "7 cm", "B": "8 cm", "C": "10 cm", "D": "12 cm", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Triangles;Perimeter of Triangles | 2steps_184 | 2steps_multi | |
905 | [{"role": "user", "question": "A parallelogram has two adjacent sides measuring 5 cm and 7 cm respectively (as shown in the diagram), with a height of 6 cm on one of its bases. The area of this parallelogram is ( ).", "hint": "", "options": {"A": "30 square centimeters", "B": "35 square centimeters", "C": "36 square... | A | mcq | Properties and Understanding of Triangles;Area of Parallelograms | 2steps_185 | 2steps_multi | |
906 | [{"role": "user", "question": "In the diagram below, the three red dots are vertices of a parallelogram. The coordinate pair for the fourth vertex cannot be ( ).", "hint": "", "options": {"A": "(5, 1)", "B": "(5, 5)", "C": "(1, 7)", "D": "(5, 7)", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Parallelograms;Representing Positions Using Ordered Pairs | 2steps_186 | 2steps_multi | |
907 | [{"role": "user", "question": "As shown in the diagram, the midpoint of the base of the parallelogram is M, and its area is 36.8 square meters. The area of the shaded triangle is ( ) square meters.", "hint": "", "options": {"A": "18.4", "B": "9.2", "C": "12.4", "D": "6.2", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Parallelograms;Area of Triangles | 2steps_187 | 2steps_multi | |
908 | [{"role": "user", "question": "In the trapezoid shown in the diagram,. If the upper base is extended by 6 cm, it becomes a parallelogram. The area of the trapezoid is ( ) cm².", "hint": "", "options": {"A": "115", "B": "120", "C": "145", "D": "165", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Parallelograms;Area of Trapezoids | 2steps_188 | 2steps_multi | |
909 | [{"role": "user", "question": "Uncle Wang used a 48-meter long fence to enclose a square chicken coop against a wall. The area of this chicken coop is ( ) square meters.", "hint": "", "options": {"A": "144", "B": "256", "C": "2304", "D": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Squares;Area of Squares | 2steps_189 | 2steps_multi | |
91 | [{"role": "user", "question": "The figure below shows a rectangular cuboid. If it is cut into two identical rectangular cuboids, which line should it be cut along to increase the surface area more significantly?", "hint": "", "options": {"A": "Solid line", "B": "Dotted line", "C": "Cannot be determined", "D": "No corre... | B | mcq | Combining and Dividing Solids | 2steps_91 | 2steps_1 | |
910 | [{"role": "user", "question": "In the diagram below, the perimeter of the square is 32 cm. The area of the parallelogram is ( ).", "hint": "", "options": {"A": "32 cm²", "B": "64 cm²", "C": "48 cm²", "D": "72 cm²", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Squares;Area of Parallelograms | 2steps_190 | 2steps_multi | |
911 | [{"role": "user", "question": "As shown in the diagram, the perimeter of the square is 10 cm. The area of the parallelogram is ( ) cm².", "hint": "", "options": {"A": "4", "B": "6.25", "C": "25", "D": "100", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Squares;Area of Parallelograms | 2steps_191 | 2steps_multi | |
912 | [{"role": "user", "question": "Given that the perimeter of the square shown in the diagram is 20 centimeters, what is the area of the shaded parallelogram?", "hint": "", "options": {"A": "10 square centimeters", "B": "16 square centimeters", "C": "20 square centimeters", "D": "25 square centimeters", "E": "No correct a... | D | mcq | Perimeter of Squares;Area of Parallelograms | 2steps_192 | 2steps_multi | |
913 | [{"role": "user", "question": "As shown in the diagram, square ABCD is the unfolded lateral surface of a cylinder. Given that its perimeter is 25.12 cm, the circumference of the cylinder's base and the height are respectively ( ), ( ) cm?", "hint": "", "options": {"A": "6.28, 6.28", "B": "6.28, 3.14", "C": "2, 2", "D":... | A | mcq | Perimeter of Squares;Expanded View of Cylinders | 2steps_193 | 2steps_multi | |
914 | [{"role": "user", "question": "As shown in the diagram, A, B, C, and D are the centers of four equal circles, and the line EF passes through B and C. Given that the perimeter of quadrilateral ABCD is 16 cm, what is the length of EF in cm?", "hint": "", "options": {"A": "4 cm", "B": "8 cm", "C": "12 cm", "D": "16 cm", "... | C | mcq | Perimeter of Squares;Understanding Circles | 2steps_194 | 2steps_multi | |
915 | [{"role": "user", "question": "As shown in the diagram, quadrilateral is a square with a perimeter of 40cm. Inside it, there is a circle. 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 | Perimeter of Squares;Circumference of Circles | 2steps_195 | 2steps_multi | |
916 | [{"role": "user", "question": "As shown in the diagram, it is known that line l1 is parallel to line l2 and the perimeter of square ABCD equals 32cm. What is the length of EF in centimeters?", "hint": "", "options": {"A": "32", "B": "16", "C": "8", "D": "4", "E": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Squares;Parallel | 2steps_196 | 2steps_multi | |
917 | [{"role": "user", "question": "As shown in the diagram, rectangle ABCD is formed by a piece of wire and the perimeter of rectangle ABCD is 96cm. Now, the wire along side CD is cut and used to form a cube frame. What is the edge length of the cube frame in cm?", "hint": "", "options": {"A": "4", "B": "5", "C": "3", "D":... | C | mcq | Perimeter of Rectangles;Properties and Understanding of Cubes | 2steps_197 | 2steps_multi | |
918 | [{"role": "user", "question": "A trapezoidal vegetable garden is formed along a wall, with the fence surrounding the garden measuring 56 meters in length. What is the area of this vegetable garden in square meters?", "hint": "", "options": {"A": "720", "B": "660", "C": "360", "D": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Trapezoids;Area of Trapezoids | 2steps_198 | 2steps_multi | |
919 | [{"role": "user", "question": "Uncle Wang has a trapezoidal vegetable garden next to a wall. He fenced the garden with a 15-meter fence. The area of this vegetable garden is ( ) square meters.", "hint": "", "options": {"A": "28", "B": "56", "C": "105", "D": "52.5", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Trapezoids;Area of Trapezoids | 2steps_199 | 2steps_multi | |
92 | [{"role": "user", "question": "As shown in the diagram, four identical small cylinders are combined to form a larger cylinder with a length of 40 cm. By how many cylinder cross-sectional areas has the surface area decreased?", "hint": "", "options": {"A": "2", "B": "3", "C": "6", "D": "9", "E": "No correct answer"}, "c... | C | mcq | Combining and Dividing Solids | 2steps_92 | 2steps_1 | |
920 | [{"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 trapezoid. Given that the perimeter of GBCD is 40cm, what is the area of parallelogram ABCD in square centimeters?", "hint": "", "options": {"A":... | C | mcq | Perimeter of Trapezoids;Area of Parallelograms | 2steps_200 | 2steps_multi | |
921 | [{"role": "user", "question": "As shown in the diagram, quadrilateral GBCD is an isosceles trapezoid, quadrilateral ABCD is a parallelogram, and quadrilateral HBCD is a right-angled trapezoid. It is known that the perimeter of GBCD is 40cm. What is the area of the right-angled trapezoid HBCD in square centimeters?", "h... | B | mcq | Perimeter of Trapezoids;Area of Trapezoids | 2steps_201 | 2steps_multi | |
922 | [{"role": "user", "question": "If a piece of wire is used to form the parallelogram shown below, which length and width cannot be achieved when using this wire to form a rectangle?", "hint": "", "options": {"A": "6, 3", "B": "7, 5", "C": "5, 4", "D": "8, 1", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Parallelograms;Perimeter of Rectangles | 2steps_202 | 2steps_multi | |
923 | [{"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 Parallelograms;Perimeter of Trapezoids | 2steps_203 | 2steps_multi | |
924 | [{"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 | Perimeter of Parallelograms;Conversion Rates and Calculations Between Length Units | 2steps_204 | 2steps_multi | |
925 | [{"role": "user", "question": "As shown in the diagram, it is known that the parallelogram ABCD is the lateral surface development of a cylinder, and its perimeter is 60cm. What is the circumference of the base of the cylinder (in cm)?", "hint": "", "options": {"A": "10", "B": "60", "C": "20", "D": "No correct answer"}... | C | mcq | Perimeter of Parallelograms;Expanded View of Cylinders | 2steps_205 | 2steps_multi | |
926 | [{"role": "user", "question": "As shown in the diagram, a largest possible square is drawn 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 Squares;Area of Circles | 2steps_206 | 2steps_multi | |
927 | [{"role": "user", "question": "If the shaded area in the diagram is 16 square centimeters, then the area of the annulus in the diagram is ( ).", "hint": "", "options": {"A": "50.24 square centimeters", "B": "64 square centimeters", "C": "56.24 square centimeters", "D": "25.12 square centimeters", "E": "No correct an... | A | mcq | Area of Squares;Area of Circles | 2steps_207 | 2steps_multi | |
928 | [{"role": "user", "question": "As shown in the diagram, the area of the colored part is 20 square centimeters. The area of the annulus is ( ) square centimeters.", "hint": "", "options": {"A": "20π", "B": "40π", "C": "200π", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Squares;Area of Circles | 2steps_208 | 2steps_multi | |
929 | [{"role": "user", "question": "A square contains a quarter-circle inside it. Given that the area of the square is 4 cm², the area of the shaded part is ( ).", "hint": "", "options": {"A": "π", "B": "2π", "C": "3π", "D": "4π", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Squares;Area of Sectors | 2steps_209 | 2steps_multi | |
93 | [{"role": "user", "question": "As shown in the diagram, if a cylindrical object is cut in half parallel to its base, the surface area increases by 20cm² compared to the original cylinder. What is the area of the base of the cylinder?", "hint": "", "options": {"A": "10cm²", "B": "20cm²", "C": "30cm²", "D": "No correct a... | A | mcq | Combining and Dividing Solids | 2steps_93 | 2steps_1 | |
930 | [{"role": "user", "question": "As shown in the diagram, the area of the square is 100 square meters. The area of the circle is ( ) square meters.", "hint": "", "options": {"A": "526", "B": "314", "C": "628", "D": "157", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Squares;Area of Circles | 2steps_210 | 2steps_multi | |
931 | [{"role": "user", "question": "As shown in the diagram, the shaded area is 4 cm². The area of the circle in the diagram is ( ) cm².(π = 3.14)", "hint": "", "options": {"A": "12.56", "B": "6.28", "C": "50.24", "D": "25.12", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Squares;Area of Circles | 2steps_211 | 2steps_multi | |
932 | [{"role": "user", "question": "In the diagram below, each square has an area of 4 cm². The perimeter of the bolded shape is ( ).", "hint": "", "options": {"A": "12 cm", "B": "24 cm", "C": "28 cm", "D": "6 cm", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Squares;Observing Figures | 2steps_212 | 2steps_multi | |
933 | [{"role": "user", "question": "As shown in the diagram, point B is represented by (2, 2), point C is represented by (5, 2), and the area of the rectangle is 6. What could be the coordinates of point D?", "hint": "", "options": {"A": "(5, 4)", "B": "(5, 3)", "C": "(4, 5)", "D": "No correct answer"}, "choices": []}] | A | mcq | Axial Symmetry;Perimeter of Trapezoids | 2steps_213 | 2steps_multi | |
934 | [{"role": "user", "question": "As shown in the diagram, it is known that the area of the rectangle is 32 square centimeters. The area of the shaded part is ( ) cm².", "hint": "", "options": {"A": "50.24", "B": "25.12", "C": "12.56", "D": "6.88", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Rectangles;Area of Sectors | 2steps_214 | 2steps_multi | |
935 | [{"role": "user", "question": "From a rectangular piece of paper, a circle with a diameter of 1 centimeter is cut out (as shown in the diagram below). Which of the following is closest to the area of the shaded part?", "hint": "", "options": {"A": "5 square centimeters", "B": "4 square centimeters", "C": "3 square cent... | A | mcq | Area of Circles;Area of Rectangles | 2steps_215 | 2steps_multi | |
936 | [{"role": "user", "question": "As shown in the diagram, the area of the circular ring is 628 cm². 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 Circles;Area of Squares | 2steps_216 | 2steps_multi | |
937 | [{"role": "user", "question": "DouDou's family has a circular dining table (as shown in the diagram), with a surface area of approximately 50 square meters. His mother wants to buy a square tablecloth for this dining table. The store offers three sizes of tablecloths. She should choose one with a side length of at leas... | C | mcq | Area of Circles;Properties and Understanding of Squares | 2steps_217 | 2steps_multi | |
938 | [{"role": "user", "question": "As shown in the diagram, if the four sides of a square tabletop are lifted up, it becomes a round tabletop. After measurement, the area of the round tabletop is π square meters. What is the area of the square tabletop? ", "hint": "", "options": {"A": "1", "B": "2", "C": "1/3π", "D": "2/3... | B | mcq | Area of Circles;Area of Squares | 2steps_218 | 2steps_multi | |
939 | [{"role": "user", "question": "As shown in the diagram, the area of trapezoid AECD is 20 square centimeters. What is the area of parallelogram ABCD?", "hint": "", "options": {"A": "24 square centimeters", "B": "16 square centimeters", "C": "8 square centimeters", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Trapezoids;Area of Parallelograms | 2steps_219 | 2steps_multi | |
94 | [{"role": "user", "question": "Can the shaded area A in the diagram be rotated around point O to form a torus with shaded area B?", "hint": "", "options": {"A": "Yes, A needs to be rotated 90 degrees clockwise around point O", "B": "Yes, A needs to be rotated 45 degrees counterclockwise around point O", "C": "No; F. No... | A | mcq | Rotation | 2steps_94 | 2steps_1 | |
940 | [{"role": "user", "question": "As shown in the diagram, there is a sector whose area equals the base area of a cylinder. The height of the cylinder equals the radius of the sector. What is the surface area of this cylinder?", "hint": "", "options": {"A": "24π", "B": "20π", "C": "28π", "D": "No correct answer"}, "choice... | A | mcq | Area of Sectors;Surface Area of Cylinders | 2steps_220 | 2steps_multi | |
941 | [{"role": "user", "question": "As shown in the diagram, the area of the triangle is 0.06m², and 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 Triangles;Area of Trapezoids | 2steps_221 | 2steps_multi | |
942 | [{"role": "user", "question": "In the diagram below, the area of the shaded part is 48 square centimeters. 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 Triangles;Area of Trapezoids | 2steps_222 | 2steps_multi | |
943 | [{"role": "user", "question": "As shown in the diagram, if the area of triangle ABE is 4 cm², then the area of parallelogram ABCD is ( )?", "hint": "", "options": {"A": "24 cm²", "B": "16 cm²", "C": "8 cm²", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Triangles;Area of Parallelograms | 2steps_223 | 2steps_multi | |
944 | [{"role": "user", "question": "As shown in the diagram, it is known that the area of triangle BCD is 6 cm². 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 | Area of Triangles;Perimeter of Parallelograms | 2steps_224 | 2steps_multi | |
945 | [{"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 | Area of Triangles;Conversion Rates and Calculations Between Area Units | 2steps_225 | 2steps_multi | |
946 | [{"role": "user", "question": "In the diagram below, the area of the parallelogram is 32 cm². What is the area of the circle 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 Parallelograms;Area of Circles | 2steps_226 | 2steps_multi | |
947 | [{"role": "user", "question": "As shown in the diagram, ∠1 equals ( )°.", "hint": "", "options": {"A": "52", "B": "70", "C": "72", "D": "38", "E": "No correct answer"}, "choices": []}] | C | mcq | Calculation and Comparison of Angles;Sum of Interior Angles of Triangles | 2steps_227 | 2steps_multi | |
948 | [{"role": "user", "question": "As shown in the diagram, a rectangle paper is folded to form a triangle. If ∠2 = 120°, then ∠1 = ( ).", "hint": "", "options": {"A": "60°", "B": "45°", "C": "30°", "D": "No correct answer"}, "choices": []}] | C | mcq | Calculation and Comparison of Angles;Folding Problems of Figures | 2steps_228 | 2steps_multi | |
949 | [{"role": "user", "question": "In the diagram below, A is in the ( ) direction of 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 | Sum of Interior Angles of Triangles;Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_229 | 2steps_multi | |
95 | [{"role": "user", "question": "As shown in the diagram, diagram ① is transformed into diagram ② by:", "hint": "", "options": {"A": "Rotating 90° counterclockwise around point P", "B": "Rotating 90° clockwise around point Q", "C": "Rotating 90° counterclockwise around point Q", "D": "No correct answer"}, "choices": []}] | C | mcq | Rotation | 2steps_95 | 2steps_1 | |
950 | [{"role": "user", "question": "Ma Xiaohu accidentally broke a triangular glass piece. Based on the fragments shown in the diagram, the original glass was a ( ) triangle.", "hint": "", "options": {"A": "Obtuse", "B": "Acute", "C": "Right", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Triangles;Properties and Understanding of Triangles | 2steps_230 | 2steps_multi | |
951 | [{"role": "user", "question": "As shown in the diagram, this is a piece of broken triangular glass. Its original shape was ( ).", "hint": "", "options": {"A": "Acute triangle", "B": "Right triangle", "C": "Obtuse triangle", "D": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles;Properties and Understanding of Triangles | 2steps_231 | 2steps_multi | |
952 | [{"role": "user", "question": "Given that the triangle in the diagram is an isosceles triangle, what is the measure of ∠1?", "hint": "", "options": {"A": "95°", "B": "145°", "C": "120°", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles;Calculation and Comparison of Angles | 2steps_232 | 2steps_multi | |
953 | [{"role": "user", "question": "Part of a triangle is covered by an envelope as shown in the diagram. Originally, this triangle was ( ).", "hint": "", "options": {"A": "Acute triangle", "B": "Right triangle", "C": "Obtuse triangle", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | D | mcq | Sum of Interior Angles of Triangles;Properties and Understanding of Triangles | 2steps_233 | 2steps_multi | |
954 | [{"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 | Sum of Interior Angles of Triangles;Determining the Positions of Objects Based on Direction, Angle, and Distance | 2steps_234 | 2steps_multi | |
955 | [{"role": "user", "question": "As shown in the diagram, it is known that in triangle ABC, ∠B = 50°. If ∠B is cut along the dashed line in the diagram, 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 Triangles;Sum of Interior Angles of Other Polygons | 2steps_235 | 2steps_multi | |
956 | [{"role": "user", "question": "A triangle-shaped piece of paper has one corner torn off (as shown in the diagram). This is a ( ) triangle.", "hint": "", "options": {"A": "Equilateral", "B": "Isosceles", "C": "Obtuse", "D": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles;Properties and Understanding of Triangles | 2steps_236 | 2steps_multi | |
957 | [{"role": "user", "question": "As shown in the diagram, in triangle ABC, ∠B = 80°. If ∠B is cut along the line shown in the diagram, then ∠1 + ∠2 = ( ).", "hint": "", "options": {"A": "80°", "B": "100°", "C": "260°", "D": "270°", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles;Sum of Interior Angles of Other Polygons | 2steps_237 | 2steps_multi | |
958 | [{"role": "user", "question": "As shown in the diagram, there is a triangle. What is the sum of the degrees of ∠2 and ∠3? ", "hint": "", "options": {"A": "200", "B": "250", "C": "260", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles;Sum of Interior Angles of Other Polygons | 2steps_238 | 2steps_multi | |
959 | [{"role": "user", "question": "Given the diagram below is a regular hexagon, what is the measure of ∠1?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "45°", "D": "90°", "E": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Other Polygons;Calculation and Comparison of Angles | 2steps_239 | 2steps_multi | |
96 | [{"role": "user", "question": "As shown in the diagram, by rotating around the endpoint O, how can shape A be transformed into shape B?", "hint": "", "options": {"A": "Rotate 90° clockwise", "B": "Rotate 90° counterclockwise", "C": "Rotate 45° counterclockwise", "D": "Rotate 45° clockwise", "E": "No correct answer"}, "... | B | mcq | Rotation | 2steps_96 | 2steps_1 | |
960 | [{"role": "user", "question": "Given the diagram below is a regular pentagon, what is the measure of ∠1?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "45°", "D": "72°", "E": "No correct answer"}, "choices": []}] | D | mcq | Sum of Interior Angles of Other Polygons;Calculation and Comparison of Angles | 2steps_240 | 2steps_multi | |
961 | [{"role": "user", "question": "As shown in the diagram, a sector with a radius of 3 cm is drawn inside a hexagon. The area of the sector is ( ) square centimeters.", "hint": "", "options": {"A": "5π", "B": "4π", "C": "3π", "D": "2π", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Other Polygons;Area of Sectors | 2steps_241 | 2steps_multi | |
962 | [{"role": "user", "question": "As shown in the diagram, in quadrilateral ABCD, ∠1 = 3∠2, ∠3 = ∠2, what is the measure of ∠1 in degrees?", "hint": "", "options": {"A": "180°", "B": "54°", "C": "108°", "D": "72°", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Other Polygons;Calculation and Comparison of Angles | 2steps_242 | 2steps_multi |
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