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values | question_type stringclasses 1
value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
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|---|---|---|---|---|---|---|---|
1719 | [{"role": "user", "question": "As shown in the figure, the water level in the cylindrical container is 3 cm high. The base area of the small rectangular iron block is 3.14 cm². When the small rectangular iron blocks are vertically arranged and submerged in the water one by one as shown in the figure, the top surface of... | C | mcq | Volume and Capacity of Cylinders;Volume and Capacity of Rectangular Cuboids;Observing Objects | 3stpes_144 | 3steps_multi | |
172 | [{"role": "user", "question": "The figure below shows an isosceles trapezoid. What is the length of the left side of the trapezoid? (Unit: cm)", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Trapezoids | 2steps_172 | 2steps_1 | |
1720 | [{"role": "user", "question": "If the rectangular cuboid shown in the diagram is folded into a rectangular cuboid, there is a batch of tiles that have the same shape as this rectangular cuboid. If these tiles are used to cover a 1m³ floor, how many tiles are needed at least?", "hint": "", "options": {"A": "200", "B": "... | B | mcq | Expanded View of Rectangular Cuboids;Properties and Understanding of Rectangular Cuboids;Conversion Rates and Calculations Between Area Units | 3stpes_145 | 3steps_multi | |
1721 | [{"role": "user", "question": "Given that the circumference of the upper edge of a conical water container is 62.8 cm, and it is required to use this container to fetch 10 liters of water, how many times at least is it necessary to fetch water?(Use π = 3.14)", "hint": "", "options": {"A": "6", "B": "5", "C": "4", "D": ... | B | mcq | Circumference of Circles;Volume and Capacity of Cones;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_146 | 3steps_multi | |
1722 | [{"role": "user", "question": "As shown in the figure, both shapes can be used as tiling patterns. When tiling with these two shapes, the number of triangles at the junction cannot be ( ).", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "0", "E": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Other Polygons;Properties and Understanding of Triangles;Tessellation of Figures | 3stpes_147 | 3steps_multi | |
1723 | [{"role": "user", "question": "As shown in the figure, both shapes can be used as tiling patterns. When tiling with these two shapes, the number of octagons at the junction cannot be ( ).", "hint": "", "options": {"A": "0", "B": "1", "C": "2", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Other Polygons;Properties and Understanding of Triangles;Tessellation of Figures | 3stpes_148 | 3steps_multi | |
1724 | [{"role": "user", "question": "As shown in the figure, A, B, and C are three points on the straight line l. Squares are drawn using each line segment in the figure as the side length. What is the sum of the areas of all the squares? ( ) dm²", "hint": "", "options": {"A": "900", "B": "500", "C": "1400", "D": "14", "E": ... | D | mcq | Understanding Line Segments, Lines, and Rays;Area of Squares;Conversion Rates and Calculations Between Area Units | 3stpes_149 | 3steps_multi | |
1725 | [{"role": "user", "question": "As shown in the figure, A, B, and C are three points on the straight line l. Using each line segment in the figure as the diameter to draw circles, what is the sum of the areas of all the circles? (π is taken as 3.14)", "hint": "", "options": {"A": "706.5", "B": "3532.5", "C": "42.39", "D... | C | mcq | Understanding Line Segments, Lines, and Rays;Area of Circles;Conversion Rates and Calculations Between Area Units | 3stpes_150 | 3steps_multi | |
1726 | [{"role": "user", "question": "As shown in the figure, A, B, and C are three points on the straight line l. Using the lengths of the three line segments in the figure as the length, width, and height of a rectangular cuboid, what is the volume of the rectangular cuboid in liters?", "hint": "", "options": {"A": "210000"... | B | mcq | Understanding Line Segments, Lines, and Rays;Volume and Capacity of Rectangular Cuboids;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_151 | 3steps_multi | |
1727 | [{"role": "user", "question": "As shown in the figure, point A is to the northeast of point B, point C is to the south by west 15° of point A, and point A is to the north by west 15° of point D. What is the degree measure of the acute angle in the figure?", "hint": "", "options": {"A": "15°", "B": "30°", "C": "45°", "D... | B | mcq | Southeast, Southwest, Northeast, Northwest Directions;Describing Simple Routes Based on Direction and Distance;Understanding and Representing Angles | 3stpes_152 | 3steps_multi | |
1728 | [{"role": "user", "question": "In the diagram, one unit of length represents 1 meter. Point A is to the northeast of point O, and point O is to the northwest of point B. The distances OA and OB are equal. Given that the area of the sector with ∠AOB as the central angle and OA as the radius is 3.14 m², what are the coor... | B | mcq | Southeast, Southwest, Northeast, Northwest Directions;Area of Sectors;Representing Positions Using Ordered Pairs | 3stpes_153 | 3steps_multi | |
1729 | [{"role": "user", "question": "Below is a top view of a cylindrical pool with a depth of 1m. In the diagram, one unit length represents 1m. What is the volume of this cylindrical pool in liters?(π = 3.14)", "hint": "", "options": {"A": "6.28", "B": "12.56", "C": "12560", "D": "Cannot be determined", "E": "No correct an... | C | mcq | Finding Positions Based on Ordered Pairs;Volume and Capacity of Cylinders;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_154 | 3steps_multi | |
173 | [{"role": "user", "question": "In the diagram, triangle ABC is an equilateral triangle. What is the degree measure of angle C?", "hint": "", "options": {"A": "60", "B": "30", "C": "90", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Triangles | 2steps_173 | 2steps_1 | |
1730 | [{"role": "user", "question": "Below is a top-down view of a circular water surface. In the diagram, one unit length represents 1 meter. What is the area of this circular pool in square meters?", "hint": "", "options": {"A": "1π", "B": "2π", "C": "3π", "D": "4π", "E": "No correct answer"}, "choices": []}] | B | mcq | Finding Positions Based on Ordered Pairs;Area of Triangles;Area of Circles | 3stpes_155 | 3steps_multi | |
1731 | [{"role": "user", "question": "If the points below can be represented by the coordinates shown in the figure, is there an obtuse angle in the figure?", "hint": "", "options": {"A": "There is an obtuse angle ∠ABE", "B": "There is an obtuse angle ∠ABC", "C": "There is no obtuse angle", "D": "It cannot be determined", "E"... | B | mcq | Finding Positions Based on Ordered Pairs;Determining the Positions of Objects Based on Direction, Angle, and Distance;Understanding and Representing Angles | 3stpes_156 | 3steps_multi | |
1732 | [{"role": "user", "question": "As shown in the figure, the area of the rectangular iron sheet is 48 cm². A expanded view of a cube is cut out from it, with face A removed and folded into an open-top square iron box. It is found that there is a hole in face ⑤. How much water can this iron box hold at most? ( ) ml", "hin... | B | mcq | Surface Area of Cubes;Expanded View of Cubes;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_157 | 3steps_multi | |
1733 | [{"role": "user", "question": "As shown in the figure, it is known that points A, B, and C are collinear, AB = BC = 3m, point D is directly east of A, point D is directly south of B, and AD = BD. In what direction is point A relative to point C?", "hint": "", "options": {"A": "6m to the southwest", "B": "3m to the sout... | A | mcq | Cardinal Directions (East, South, West, North);Properties and Understanding of Triangles;Determining the Positions of Objects Based on Direction, Angle, and Distance | 3stpes_158 | 3steps_multi | |
1734 | [{"role": "user", "question": "As shown in the figure, point A is directly north of point O, point B is southeast of point A, and the distance between AB is 6m. Point B is directly east of point O. Translate triangle ABO such that the translated point O' is directly east of point A and directly north of point B. In thi... | A | mcq | Southeast, Southwest, Northeast, Northwest Directions;Describing Simple Routes Based on Direction and Distance;Rotation | 3stpes_159 | 3steps_multi | |
1735 | [{"role": "user", "question": "As shown in the figure, if the line segment in the diagram is rotated 90 degrees clockwise around point A, what will be the new coordinates of point B?", "hint": "", "options": {"A": "(6, 3)", "B": "(6, 13)", "C": "(6, 2)", "D": "(5, 12)", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Line Segments, Lines, and Rays;Rotation;Rotation | 3stpes_160 | 3steps_multi | |
1736 | [{"role": "user", "question": "As shown in the figure, if the right angle is translated upward by three units, what will be the new coordinates of point B?", "hint": "", "options": {"A": "(7, 7)", "B": "(7, 4)", "C": "(7, 2)", "D": "(6, 8)", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding and Representing Angles;Translation;Representing Positions Using Ordered Pairs | 3stpes_161 | 3steps_multi | |
1737 | [{"role": "user", "question": "As shown in the figure, ABCD are four points on a map. It is known that C is directly south of B, and A is directly west of C. AB = 6m. Line segment BD can be obtained by rotating line segment AB counterclockwise by 130° around point B. Then point B is in the () direction from point D.", ... | A | mcq | Cardinal Directions (East, South, West, North);Rotation;Describing Simple Routes Based on Direction and Distance | 3stpes_162 | 3steps_multi | |
1738 | [{"role": "user", "question": "As shown in the diagram, the figure is the expanded view of a cube. It is known that when the expanded view is folded into a cube, face C is on top, and from a top-down view, face A is facing north. If the cube is then rotated 45° clockwise, which direction will face B be facing?", "hint"... | A | mcq | Expanded View of Cubes;Cardinal Directions (East, South, West, North);Southeast, Southwest, Northeast, Northwest Directions | 3stpes_163 | 3steps_multi | |
1739 | [{"role": "user", "question": "As shown in the figure, point C is in the northeast direction from point A, and point C is in the north by west 50° direction from point B. What is the ∠ACB?", "hint": "", "options": {"A": "Acute angle", "B": "Obtuse angle", "C": "Right angle", "D": "Straight angle", "E": "No correct answ... | B | mcq | Southeast, Southwest, Northeast, Northwest Directions;Determining the Positions of Objects Based on Direction, Angle, and Distance;Understanding and Representing Angles | 3stpes_164 | 3steps_multi | |
174 | [{"role": "user", "question": "In the diagram, there is an isosceles triangle, ∠1 ( ) ∠2.", "hint": "", "options": {"A": ">", "B": "=", "C": "<", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles | 2steps_174 | 2steps_1 | |
1740 | [{"role": "user", "question": "As shown in the figure, there is a circular flower bed. Mary walks from the northernmost point of the flower bed along the edge to the easternmost point, taking a total of 80 steps. Given that Mary's average step length is 0.628 m, what is the area of the flower bed in square meters?(π = ... | B | mcq | Cardinal Directions (East, South, West, North);Circumference of Circles;Area of Circles | 3stpes_165 | 3steps_multi | |
175 | [{"role": "user", "question": "The triangle in the diagram is a ( ) triangle.", "hint": "", "options": {"A": "Right-angle", "B": "Isosceles", "C": "Obtuse", "D": "Equilateral", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Triangles | 2steps_175 | 2steps_1 | |
176 | [{"role": "user", "question": "Which two triangles are right triangles?", "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 | 2steps_176 | 2steps_1 | |
177 | [{"role": "user", "question": "As shown in the diagram, there is an equilateral triangle inside a rectangle. What is the measure of ∠2? ", "hint": "", "options": {"A": "90°", "B": "60°", "C": "45°", "D": "30°", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles | 2steps_177 | 2steps_1 | |
178 | [{"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 length of AB=AC=（ ）cm?", "hint": "", "options": {"A": "10 cm", "B": "20 cm", "C": "5 cm", "D": "4 cm", "E": "No correct answer"}, "choices"... | A | mcq | Properties and Understanding of Triangles | 2steps_178 | 2steps_1 | |
179 | [{"role": "user", "question": "As shown in the diagram, quadrilateral ABCD is a trapezoid composed of three right triangles. AB = ( ) cm, CD = ( ) cm.", "hint": "", "options": {"A": "4, 2.4", "B": "4, 1.6", "C": "1.6, 2.4", "D": "2.4, 1.6", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Triangles | 2steps_179 | 2steps_1 | |
18 | [{"role": "user", "question": "In the diagram, the block below block C is ( )", "hint": "", "options": {"A": "A", "B": "B", "C": "D", "D": "F", "E": "No correct answer"}, "choices": []}] | C | mcq | Up-Down Position | 2steps_18 | 2steps_1 | |
180 | [{"role": "user", "question": "In the right triangle ABC shown in the diagram, which two sides are perpendicular to each other?", "hint": "", "options": {"A": "AB, BC", "B": "AP, BC", "C": "AC, BC", "D": "AB, AC", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Triangles | 2steps_180 | 2steps_1 | |
181 | [{"role": "user", "question": "As shown in the diagram, the possible length of the third side of the triangle could be ( ) cm.", "hint": "", "options": {"A": "2", "B": "4", "C": "15", "D": "17", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles | 2steps_181 | 2steps_1 | |
182 | [{"role": "user", "question": "As shown in the diagram, the possible length of the third side of the triangle could be ( ) cm.", "hint": "", "options": {"A": "1", "B": "2", "C": "3", "D": "14", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Triangles | 2steps_182 | 2steps_1 | |
183 | [{"role": "user", "question": "Among the three piles of small sticks below, to arrange an isosceles triangle, one should choose the three sticks from pile ( ).", "hint": "", "options": {"A": "①, ③, ④", "B": "②", "C": "①, ③", "D": "④", "E": "①; F. Cannot be determined; G. No correct answer"}, "choices": []}] | E | mcq | Properties and Understanding of Triangles | 2steps_183 | 2steps_1 | |
184 | [{"role": "user", "question": "Among the three piles of sticks below, to form a triangle, you should choose the three sticks from pile ( ). ", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Triangles | 2steps_184 | 2steps_1 | |
185 | [{"role": "user", "question": "In a parallelogram, two adjacent sides are 5 cm and 7 cm long respectively (as shown in the diagram). One of the bases has a height of 6 cm. Is this height from AB or CD?", "hint": "", "options": {"A": "AB", "B": "CD", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}... | B | mcq | Properties and Understanding of Triangles | 2steps_185 | 2steps_1 | |
186 | [{"role": "user", "question": "As shown in the diagram, among the green points listed below, which one cannot form a parallelogram when connected with the three red points?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Parallelograms | 2steps_186 | 2steps_1 | |
187 | [{"role": "user", "question": "As shown in the diagram, the area of the parallelogram is 36.8 square meters. The area of triangle ABC is ( ) square meters.", "hint": "", "options": {"A": "18.4", "B": "9.2", "C": "12.4", "D": "6.2", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Parallelograms | 2steps_187 | 2steps_1 | |
188 | [{"role": "user", "question": "In the trapezoid shown in the diagram. If the upper base is extended by 6 cm, it becomes a parallelogram. The length of the upper base of the trapezoid is ( ) cm.", "hint": "", "options": {"A": "9 cm", "B": "15 cm", "C": "6 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Parallelograms | 2steps_188 | 2steps_1 | |
189 | [{"role": "user", "question": "Uncle Wang used a 48-meter long fence to enclose a square chicken coop against a wall. What is the length of each side of the chicken coop ( ) m?", "hint": "", "options": {"A": "12", "B": "16", "C": "24", "D": "48", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Squares | 2steps_189 | 2steps_1 | |
19 | [{"role": "user", "question": "In the diagram, the block above block D is ( )", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "E", "E": "No correct answer"}, "choices": []}] | B | mcq | Up-Down Position | 2steps_19 | 2steps_1 | |
190 | [{"role": "user", "question": "As shown in the diagram, if the perimeter of a square is 32 cm, what is the length of each side of the square (in cm)?", "hint": "", "options": {"A": "6", "B": "8", "C": "10", "D": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Squares | 2steps_190 | 2steps_1 | |
191 | [{"role": "user", "question": "As shown in the diagram, if the perimeter of a square is 10 cm, what is the length of each side of the square (in cm)?", "hint": "", "options": {"A": "1.5", "B": "2.5", "C": "5", "D": "10", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Squares | 2steps_191 | 2steps_1 | |
192 | [{"role": "user", "question": "As shown in the diagram, if the perimeter of a square is 20 cm, what is the length of each side of the square (in cm)?", "hint": "", "options": {"A": "1.5", "B": "2.5", "C": "5", "D": "10", "E": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Squares | 2steps_192 | 2steps_1 | |
193 | [{"role": "user", "question": "As shown in the diagram, square ABCD is the unfolded side surface of a cylinder. Given that its perimeter is 25.12 cm, then BC = ()", "hint": "", "options": {"A": "1 cm", "B": "1.5 cm", "C": "3.14 cm", "D": "6.28 cm", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Squares | 2steps_193 | 2steps_1 | |
194 | [{"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 BC in cm?", "hint": "", "options": {"A": "2", "B": "3", "C": "4", "D": "5", "E": "No correc... | C | mcq | Perimeter of Squares | 2steps_194 | 2steps_1 | |
195 | [{"role": "user", "question": "As shown in the diagram, quadrilateral ABCD is a square. What is the length of the side of the square in centimeters?", "hint": "", "options": {"A": "10", "B": "5", "C": "4", "D": "40", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Squares | 2steps_195 | 2steps_1 | |
196 | [{"role": "user", "question": "As shown in the diagram, the perimeter of square ABCD equals 32cm, CD equals ( ) cm?", "hint": "", "options": {"A": "32", "B": "16", "C": "8", "D": "4", "E": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Squares | 2steps_196 | 2steps_1 | |
197 | [{"role": "user", "question": "As shown in the diagram, rectangle ABCD is formed by a piece of wire. The perimeter of rectangle ABCD is 96cm. What is the length of side CD in centimeters?", "hint": "", "options": {"A": "12", "B": "36", "C": "11", "D": "48", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Rectangles | 2steps_197 | 2steps_1 | |
198 | [{"role": "user", "question": "A trapezoidal vegetable garden is built against a wall, with a total fence length of 56 meters. What is the sum of the lengths of the top and bottom bases of the trapezoid? ", "hint": "", "options": {"A": "72 m", "B": "66 m", "C": "36 m", "D": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Trapezoids | 2steps_198 | 2steps_1 | |
199 | [{"role": "user", "question": "Uncle Wang has a trapezoidal vegetable garden next to a wall. He fenced the garden with a 15-meter fence. What is the sum of the lengths of the top and bottom bases of the trapezoid? ", "hint": "", "options": {"A": "8 m", "B": "6 m", "C": "15 m", "D": "5 m", "E": "No correct answer"}, "c... | A | mcq | Perimeter of Trapezoids | 2steps_199 | 2steps_1 | |
2 | [{"role": "user", "question": "According to the diagram, observe the distances in the image, a = ( ) m, b = ( ) m, c = ( ) m.", "hint": "", "options": {"A": "3, 5, 4", "B": "3, 50, 40", "C": "300, 50, 40", "D": "30, 50, 40", "E": "No correct answer"}, "choices": []}] | A | mcq | Conversion Rates and Calculations Between Length Units | 2steps_2 | 2steps_1 | |
20 | [{"role": "user", "question": "As shown in the diagram, color the square above the square labeled A on the left cube. The correctly colored cube is ( )", "hint": "", "options": {"A": "①", "B": "②", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Up-Down Position | 2steps_20 | 2steps_1 | |
200 | [{"role": "user", "question": "As shown in the diagram, GBCD is an isosceles trapezoid with a perimeter of 40cm. What is the length of CD?", "hint": "", "options": {"A": "10 cm", "B": "11 cm", "C": "12 cm", "D": "6 cm", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Trapezoids | 2steps_200 | 2steps_1 | |
201 | [{"role": "user", "question": "As shown in the diagram, quadrilateral GBCD is an isosceles trapezoid with a perimeter of 40cm. What is the length of CD?", "hint": "", "options": {"A": "10 cm", "B": "11 cm", "C": "12 cm", "D": "6 cm", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Trapezoids | 2steps_201 | 2steps_1 | |
202 | [{"role": "user", "question": "A piece of wire can be bent to form the parallelogram shown in the diagram. The length of the wire is ( ) cm.", "hint": "", "options": {"A": "27", "B": "19", "C": "18", "D": "9", "E": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Parallelograms | 2steps_202 | 2steps_1 | |
203 | [{"role": "user", "question": "As shown in the diagram, it is known that the perimeter of parallelogram ABCD is 16 cm. What is the length of AD in cm?", "hint": "", "options": {"A": "2", "B": "3", "C": "4", "D": "5", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Parallelograms | 2steps_203 | 2steps_1 | |
204 | [{"role": "user", "question": "As shown in the diagram, the perimeter of the parallelogram is ( )m.", "hint": "", "options": {"A": "11", "B": "2200", "C": "220", "D": "22", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Parallelograms | 2steps_204 | 2steps_1 | |
205 | [{"role": "user", "question": "As shown in the diagram, it is known that the perimeter of parallelogram ABCD is 60 cm. What is the length of BC? ", "hint": "", "options": {"A": "15 cm", "B": "20 cm", "C": "25 cm", "D": "30 cm", "E": "No correct answer"}, "choices": []}] | B | mcq | Perimeter of Parallelograms | 2steps_205 | 2steps_1 | |
206 | [{"role": "user", "question": "As shown in the diagram, draw the largest possible square inside a circle with a radius of 2 cm. The area of the square is ( ) square centimeters.", "hint": "", "options": {"A": "16", "B": "4", "C": "8", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Squares | 2steps_206 | 2steps_1 | |
207 | [{"role": "user", "question": "If the area of the shaded part in the diagram is 16 square centimeters, which of the following expressions is correct?", "hint": "", "options": {"A": "(R^2 - r^2) = 32", "B": "(R^2 - r^2) = 16", "C": "(R - r) = 16", "D": "No correct answer"}, "choices": []}] | B | mcq | Area of Squares | 2steps_207 | 2steps_1 | |
208 | [{"role": "user", "question": "As shown in the diagram, if the area of the shaded part is 20 square centimeters, which of the following expressions is correct?", "hint": "", "options": {"A": "R^2 - r^2 = 20", "B": "(R^2 - r^2)π = 10", "C": "(R - r) = 16", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Squares | 2steps_208 | 2steps_1 | |
209 | [{"role": "user", "question": "As shown in the diagram, there is a quarter-circle inside a square. If the area of the square is 4 cm², what is the side length of the square in cm?", "hint": "", "options": {"A": "1", "B": "2", "C": "3", "D": "No correct answer"}, "choices": []}] | B | mcq | Area of Squares | 2steps_209 | 2steps_1 | |
21 | [{"role": "user", "question": "As shown in the diagram, there is a group of cuboids stacked together. Which cuboid is at the very bottom?", "hint": "", "options": {"A": "Cuboid ①", "B": "Cuboid ②", "C": "Cuboid ③", "D": "Cuboid ④", "E": "No correct answer"}, "choices": []}] | D | mcq | Up-Down Position | 2steps_21 | 2steps_1 | |
210 | [{"role": "user", "question": "As shown in the diagram, if the area of a square is 100 square meters, what is the length of each side of the square in meters?", "hint": "", "options": {"A": "1", "B": "10", "C": "100", "D": "No correct answer"}, "choices": []}] | B | mcq | Area of Squares | 2steps_210 | 2steps_1 | |
211 | [{"role": "user", "question": "As shown in the diagram, if the shaded is 4 cm², what is its side length (in cm)?", "hint": "", "options": {"A": "1", "B": "2", "C": "4", "D": "No correct answer"}, "choices": []}] | B | mcq | Area of Squares | 2steps_211 | 2steps_1 | |
212 | [{"role": "user", "question": "As shown in the diagram, each small square has an area of 4 cm². What is the side length of each small square? ", "hint": "", "options": {"A": "4 cm", "B": "3 cm", "C": "2 cm", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Squares | 2steps_212 | 2steps_1 | |
213 | [{"role": "user", "question": "The rectangle ABCD is as shown in the figure below. The coordinates of points B and C are marked on the diagram. Given that the area of the rectangle is 6cm2, the length of CD is ( )cm.", "hint": "", "options": {"A": "2", "B": "3", "C": "4", "D": "5", "E": "No correct answer"}, "choices":... | A | mcq | Area of Rectangles | 2steps_213 | 2steps_1 | |
214 | [{"role": "user", "question": "As shown in the diagram, the length of the rectangle is as indicated. The area of the rectangle is 32 cm². The width of the rectangle is ( ) cm.", "hint": "", "options": {"A": "4 cm", "B": "6 cm", "C": "8 cm", "D": "10 cm", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Rectangles | 2steps_214 | 2steps_1 | |
215 | [{"role": "user", "question": "From a rectangular piece of paper, a circle as shown in the diagram below is cut out. The area of the circle is approximately:", "hint": "", "options": {"A": "4 square centimeters", "B": "3 square centimeters", "C": "2 square centimeters", "D": "1 square centimeter", "E": "No correct answ... | D | mcq | Area of Circles | 2steps_215 | 2steps_1 | |
216 | [{"role": "user", "question": "If the area of the annulus shown in the diagram is 628 cm², which of the following expressions is correct? (π is taken as 3.14)", "hint": "", "options": {"A": "3.14 × (R² - r²) = 628", "B": "(R² - r²) = 628", "C": "3.14 × (R - r) = 314", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Circles | 2steps_216 | 2steps_1 | |
217 | [{"role": "user", "question": "As shown in the diagram, there is a circular dining table with an approximate surface area of 50 square decimeters. What is the approximate diameter of the dining table? (Assume π = 3.14)", "hint": "", "options": {"A": "4 dm", "B": "6 dm", "C": "8 dm", "D": "10 dm", "E": "No correct answe... | C | mcq | Area of Circles | 2steps_217 | 2steps_1 | |
218 | [{"role": "user", "question": "As shown in the diagram, if the four sides of a square table are lifted up, it becomes a round table. After measurement, the area of the round table is π square meters. What is its diameter?", "hint": "", "options": {"A": "1", "B": "2", "C": "3", "D": "4", "E": "No correct answer"}, "choi... | B | mcq | Area of Circles | 2steps_218 | 2steps_1 | |
219 | [{"role": "user", "question": "As shown in the diagram, the area of trapezoid AECD is 20 square centimeters. What is the length of AE (in cm)?", "hint": "", "options": {"A": "2", "B": "6", "C": "4", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Trapezoids | 2steps_219 | 2steps_1 | |
22 | [{"role": "user", "question": "As shown in the diagram, everyone is facing the blackboard in the classroom. The person in front of F is ( )", "hint": "", "options": {"A": "E", "B": "I", "C": "C", "D": "No correct answer"}, "choices": []}] | C | mcq | Front-Back Position | 2steps_22 | 2steps_1 | |
220 | [{"role": "user", "question": "As shown in the diagram, what is the area of this sector?", "hint": "", "options": {"A": "2π", "B": "4π", "C": "8π", "D": "No correct answer"}, "choices": []}] | B | mcq | Area of Sectors | 2steps_220 | 2steps_1 | |
221 | [{"role": "user", "question": "As shown in the diagram, the area of the triangle is 0.06m², and the height of the trapezoid is ( ) m.", "hint": "", "options": {"A": "0.4", "B": "0.6", "C": "0.5", "D": "1.5", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Triangles | 2steps_221 | 2steps_1 | |
222 | [{"role": "user", "question": "If the area of the shaded part in the diagram is 48 square centimeters, what is the height of the triangle (in cm)?", "hint": "", "options": {"A": "22", "B": "8", "C": "12", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Triangles | 2steps_222 | 2steps_1 | |
223 | [{"role": "user", "question": "As shown in the diagram, the area of triangle ABE is 4 cm². What is the length of AE? ", "hint": "", "options": {"A": "4 cm", "B": "2 cm", "C": "1 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Triangles | 2steps_223 | 2steps_1 | |
224 | [{"role": "user", "question": "As shown in the diagram, it is known that the area of triangle BCD is 6 cm². What is the length of BD? ", "hint": "", "options": {"A": "2 cm", "B": "3 cm", "C": "4 cm", "D": "6 cm", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Triangles | 2steps_224 | 2steps_1 | |
225 | [{"role": "user", "question": "As shown in the diagram, the area of the shape is ( ) square decimeters.", "hint": "", "options": {"A": "4000", "B": "40", "C": "20", "D": "2000", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Triangles | 2steps_225 | 2steps_1 | |
226 | [{"role": "user", "question": "As shown in the diagram, if the area of the parallelogram is 32 cm², what is the height (in cm) between the two parallel sides?", "hint": "", "options": {"A": "12", "B": "10", "C": "8", "D": "6", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Parallelograms | 2steps_226 | 2steps_1 | |
227 | [{"role": "user", "question": "As shown in the diagram, ∠2 equals ( )°.", "hint": "", "options": {"A": "52", "B": "70", "C": "72", "D": "38", "E": "No correct answer"}, "choices": []}] | B | mcq | Calculation and Comparison of Angles | 2steps_227 | 2steps_1 | |
228 | [{"role": "user", "question": "As shown in the diagram, a rectangle paper is folded to form a triangle. If ∠2 = 120°, then ∠3 = ( ).", "hint": "", "options": {"A": "120°", "B": "90°", "C": "60°", "D": "30°", "E": "No correct answer"}, "choices": []}] | C | mcq | Calculation and Comparison of Angles | 2steps_228 | 2steps_1 | |
229 | [{"role": "user", "question": "As shown in the diagram, triangle ABO is a right triangle. What is the measure of ∠1 in degrees?", "hint": "", "options": {"A": "35", "B": "55", "C": "60", "D": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Triangles | 2steps_229 | 2steps_1 | |
23 | [{"role": "user", "question": "Mike is facing the school. If he wants to go to the school, which direction should he walk?", "hint": "", "options": {"A": "Walk forward", "B": "Walk backward", "C": "Cannot determine", "D": "No correct answer"}, "choices": []}] | A | mcq | Front-Back Position | 2steps_23 | 2steps_1 | |
230 | [{"role": "user", "question": "Ma Xiaohu accidentally broke a triangular piece of glass. The fragments are shown in the following diagram. What is the missing angle of the triangle in degrees?", "hint": "", "options": {"A": "105", "B": "95", "C": "120", "D": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Triangles | 2steps_230 | 2steps_1 | |
231 | [{"role": "user", "question": "As shown in the diagram, this is a piece of triangular glass that has shattered, leaving behind a fragment. The missing angle is ( )", "hint": "", "options": {"A": "105°", "B": "90°", "C": "110°", "D": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles | 2steps_231 | 2steps_1 | |
232 | [{"role": "user", "question": "Given that the triangle in the diagram is an isosceles triangle, what is the degree measure of ∠2? ", "hint": "", "options": {"A": "25°", "B": "35°", "C": "10°", "D": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Triangles | 2steps_232 | 2steps_1 | |
233 | [{"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:", "hint": "", "options": {"A": "95°", "B": "85°", "C": "115°", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 2steps_233 | 2steps_1 | |
234 | [{"role": "user", "question": "In the diagram, ∠P equals ( ) ", "hint": "", "options": {"A": "50°", "B": "40°", "C": "30°", "D": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles | 2steps_234 | 2steps_1 | |
235 | [{"role": "user", "question": "As shown in the diagram, it is known that in triangle ABC, ∠B = 50°, and the sum of ∠A and ∠C is:", "hint": "", "options": {"A": "150°", "B": "140°", "C": "130°", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 2steps_235 | 2steps_1 | |
236 | [{"role": "user", "question": "A triangle-shaped piece of paper has one corner torn off (as shown in the diagram). The degree of this angle is ( ).", "hint": "", "options": {"A": "50°", "B": "40°", "C": "67°", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 2steps_236 | 2steps_1 | |
237 | [{"role": "user", "question": "As shown in the diagram, in triangle ABC, ∠B = 80°, ∠A + ∠C = ?", "hint": "", "options": {"A": "150°", "B": "100°", "C": "130°", "D": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles | 2steps_237 | 2steps_1 | |
238 | [{"role": "user", "question": "What is the degree measure of ∠1?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "55°", "D": "90°", "E": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 2steps_238 | 2steps_1 | |
239 | [{"role": "user", "question": "As shown in the diagram, there is a regular hexagon. What is the measure of ∠2?", "hint": "", "options": {"A": "120°", "B": "160°", "C": "145°", "D": "90°", "E": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Other Polygons | 2steps_239 | 2steps_1 | |
24 | [{"role": "user", "question": "As shown in the diagram, the desk in front of Lucy is ( )?", "hint": "", "options": {"A": "Desk ①", "B": "Desk ②", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Front-Back Position | 2steps_24 | 2steps_1 | |
240 | [{"role": "user", "question": "As shown in the diagram, there is a regular pentagon. What is the measure of ∠2?", "hint": "", "options": {"A": "120°", "B": "160°", "C": "145°", "D": "108°", "E": "No correct answer"}, "choices": []}] | D | mcq | Sum of Interior Angles of Other Polygons | 2steps_240 | 2steps_1 | |
241 | [{"role": "user", "question": "As shown in the diagram, the measure of ∠1 in this regular hexagon is ( )", "hint": "", "options": {"A": "120°", "B": "160°", "C": "145°", "D": "90°", "E": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Other Polygons | 2steps_241 | 2steps_1 |
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