id stringlengths 1 4 | media images listlengths 1 1 | messages stringlengths 167 667 | answer stringclasses 5
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value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
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|---|---|---|---|---|---|---|---|
1539 | [{"role": "user", "question": "A point A (4, 0) on a square moves along with the square. If the square is translated three units to the right and two units up, resulting in a new square where the corresponding point A' is point D, where is point D in relation to point A?", "hint": "", "options": {"A": "2 cm to the nort... | A | mcq | Describing Simple Routes Based on Direction and Distance | 3stpes_129 | 3steps_3 | |
154 | [{"role": "user", "question": "Observe the triangle board below, ∠2 = ( ), ∠3 = ( )", "hint": "", "options": {"A": "30°,90°", "B": "60°,60°", "C": "45°,90°", "D": "50°,90°", "E": "No correct answer"}, "choices": []}] | C | mcq | Understanding Triangular Rulers | 2steps_154 | 2steps_1 | |
1540 | [{"role": "user", "question": "To enclose a rectangular cuboid with wire, the unfolded diagram of the rectangular cuboid is shown in the figure. How much wire is needed? (Unit: cm)", "hint": "", "options": {"A": "32", "B": "44", "C": "48", "D": "64", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Rectangular Cuboids | 3stpes_130 | 3steps_3 | |
1541 | [{"role": "user", "question": "As shown in the figure, the equilateral triangle ABC is composed of 16 smaller equilateral triangles tiled together. Compared to before tiling, by how many cm has the perimeter of the figure decreased?", "hint": "", "options": {"A": "36", "B": "144", "C": "108", "D": "Cannot be determined... | C | mcq | Combining Plane Figures | 3stpes_131 | 3steps_3 | |
1542 | [{"role": "user", "question": "In the quadrilateral ABCD shown in the figure, BD is perpendicular to AC. What is the area of quadrilateral ABCD? ( ) cm²", "hint": "", "options": {"A": "6", "B": "4", "C": "3", "D": "2", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Triangles | 3stpes_132 | 3steps_3 | |
1543 | [{"role": "user", "question": "As shown in the figure, triangle ABC is an equilateral triangle. What is its perimeter in cm?", "hint": "", "options": {"A": "6", "B": "4", "C": "3", "D": "8", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Triangles | 3stpes_133 | 3steps_3 | |
1544 | [{"role": "user", "question": "What is the surface area of the rectangular cuboid shown in the figure, in cm²?", "hint": "", "options": {"A": "120", "B": "132", "C": "152", "D": "304", "E": "No correct answer"}, "choices": []}] | D | mcq | Surface Area of Rectangular Cuboids | 3stpes_134 | 3steps_3 | |
1545 | [{"role": "user", "question": "As shown in the figure, the parallelogram ABCD is formed by joining two identical isosceles trapezoids. The perimeter of the parallelogram ABCD is 12 cm. What is the length of AD?", "hint": "", "options": {"A": "8", "B": "4", "C": "2", "D": "Cannot be determined", "E": "No correct answer"... | B | mcq | Perimeter of Parallelograms | 3stpes_135 | 3steps_3 | |
1546 | [{"role": "user", "question": "As shown in the figure, the shaded area is composed of two identical circles. What is the circumference of the shaded area?(Use π = 3.14) ( ) cm", "hint": "", "options": {"A": "3.14", "B": "6.28", "C": "12.56", "D": "18.84", "E": "No correct answer"}, "choices": []}] | C | mcq | Circumference of Circles | 3stpes_136 | 3steps_3 | |
1547 | [{"role": "user", "question": "As shown in the figure, the area of parallelogram ACED is 12 cm². What is the height CF when DE is the base?", "hint": "", "options": {"A": "4", "B": "3", "C": "2.4", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Parallelograms | 3stpes_137 | 3steps_3 | |
1548 | [{"role": "user", "question": "As shown in the figure, there are multiple paths from point A to point C. The shortest path is A->C. Which of the following correctly describes this path?", "hint": "", "options": {"A": "Walk 500m in the northeast direction", "B": "First walk approximately 350m in the southwest direction,... | A | mcq | Describing Simple Routes Based on Direction and Distance | 3stpes_138 | 3steps_3 | |
1549 | [{"role": "user", "question": "Given that Jack starts from point A (2, 0) and walks along a quarter-circle arc to point B, the coordinates of point B can be represented as ( ).", "hint": "", "options": {"A": "(2, 0)", "B": "(4, 2)", "C": "(4, 1)", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Representing Positions Using Ordered Pairs | 3stpes_139 | 3steps_3 | |
155 | [{"role": "user", "question": "As shown in the diagram, this is a set of triangular rulers. The degrees of ∠2 and ∠3 are respectively ( )", "hint": "", "options": {"A": "45°, 30°", "B": "45°, 60°", "C": "30°, 45°", "D": "No correct answer"}, "choices": []}] | C | mcq | Understanding Triangular Rulers | 2steps_155 | 2steps_1 | |
1550 | [{"role": "user", "question": "The path from point A to point B, route ①, is a semicircle, and the length of route ② is 20 meters. AB = 10m. If Mary starts from point A and walks along the shorter route between ① and ② to reach point B, how many meters does she need to walk?", "hint": "", "options": {"A": "10", "B": "1... | C | mcq | Circumference of Circles | 3stpes_140 | 3steps_3 | |
1551 | [{"role": "user", "question": "As shown in the figure, the right triangle ABC is rotated clockwise around point A to form triangle ADE. During the rotation, points B and C trace the paths of arcs BD and CE, respectively. Given that DE = 3 cm, AC = 5 cm, and both arcs subtend a central angle of 90°, what is the perimete... | A | mcq | Circumference of Circles | 3stpes_141 | 3steps_3 | |
1552 | [{"role": "user", "question": "Fold the rectangular cuboid expanded view shown in the diagram into a rectangular cuboid. The length, width, and height of the rectangular cuboid are 5 cm, 2 cm, and 4 cm, respectively. With face A as the top base, face A facing up, and face d facing forward, what is the area of the side ... | B | mcq | Observing Objects | 3stpes_142 | 3steps_3 | |
1553 | [{"role": "user", "question": "As shown in the diagram, the isosceles trapezoid ABCD is the front view of a three-dimensional figure. This three-dimensional figure can be considered as the lower half of a cone that has been horizontally truncated. Before truncation, the base radius of the cone was 4 cm and the height w... | B | mcq | Volume and Capacity of Cones | 3stpes_143 | 3steps_3 | |
1554 | [{"role": "user", "question": "As shown in the diagram, small rectangular cuboids are vertically arranged and submerged in water one by one. The top surface of the 4th small rectangular cuboid is exactly level with the water surface. What is the height of each small rectangular cuboid? (Use π = 3.14)( ) cm", "hint": ""... | C | mcq | Observing Objects | 3stpes_144 | 3steps_3 | |
1555 | [{"role": "user", "question": "If the shaded part of the rectangular tile shown in the figure is used as the base, how many tiles are needed to cover a 1m³ floor?", "hint": "", "options": {"A": "200", "B": "209", "C": "210", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Area Units | 3stpes_145 | 3steps_3 | |
1556 | [{"role": "user", "question": "The volume of a conical water container is shown in the diagram. Now, it is necessary to use it to fetch 10 liters of water. How many times at least does the water fetching process need to be repeated?", "hint": "", "options": {"A": "6", "B": "5", "C": "4", "D": "Cannot be determined", "E... | B | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_146 | 3steps_3 | |
1557 | [{"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 equilateral triangles at the joints cannot be ( ).", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "0", "E": "No correct answer"}, "choices": []}] | B | mcq | Tessellation of Figures | 3stpes_147 | 3steps_3 | |
1558 | [{"role": "user", "question": "As shown in the figure, both shapes can be used as tessellation patterns. When tessellating with these two shapes, the number of regular octagons at the joints cannot be ( ).", "hint": "", "options": {"A": "0", "B": "1", "C": "2", "D": "Cannot be determined", "E": "No correct answer"}, "c... | B | mcq | Tessellation of Figures | 3stpes_148 | 3steps_3 | |
1559 | [{"role": "user", "question": "As shown in the figure, A, B, and C are three points on the straight line l. There are three line segments in the figure. Using each line segment as the side length, squares are drawn. The total area of all the squares obtained is 1400 cm². What is the total area of all the squares in dm²... | D | mcq | Conversion Rates and Calculations Between Area Units | 3stpes_149 | 3steps_3 | |
156 | [{"role": "user", "question": "Observe the angles in the three triangles below, the degrees of ∠2, ∠3, and ∠4 are respectively:", "hint": "", "options": {"A": "45°, 90°, 30°", "B": "45°, 90°, 60°", "C": "45°, 90°, 45°", "D": "45°, 60°, 30°", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Triangular Rulers | 2steps_156 | 2steps_1 | |
1560 | [{"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, the total area of all the circles obtained is 4239 cm². What is the total area of all the circles in dm²? (π is taken as 3.14)", "hint": "", ... | C | mcq | Conversion Rates and Calculations Between Area Units | 3stpes_150 | 3steps_3 | |
1561 | [{"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, the volume of the rectangular cuboid obtained is 210000 cm³. What is the volume of the rectangu... | B | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_151 | 3steps_3 | |
1562 | [{"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 BAC in the figure?", "hint": "", "options": {"A": "15°", "B": "30°", "C": "45°"... | B | mcq | Understanding and Representing Angles | 3stpes_152 | 3steps_3 | |
1563 | [{"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 | Representing Positions Using Ordered Pairs | 3stpes_153 | 3steps_3 | |
1564 | [{"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?", "hint": "", "options": {"A": "6.28", "B": "12.56", "C": "12560", "D": "Cannot be determined", "E": "No correct answer"}, "c... | C | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_154 | 3steps_3 | |
1565 | [{"role": "user", "question": "Below is a top-down view of a circular water surface. In the diagram, one unit length represents 1 meter. Given that OA·OB=2, 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 | Area of Circles | 3stpes_155 | 3steps_3 | |
1566 | [{"role": "user", "question": "The points below can be represented by the coordinates shown in the figure. Point A is to the southwest of point B, and point E is to the southeast of point B. Is there an obtuse angle in the figure?", "hint": "", "options": {"A": "There is an obtuse angle ∠ABE", "B": "There is an obtuse ... | B | mcq | Understanding and Representing Angles | 3stpes_156 | 3steps_3 | |
1567 | [{"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. If this iron box is used to hold water, the maximum height o... | B | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_157 | 3steps_3 | |
1568 | [{"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 | Determining the Positions of Objects Based on Direction, Angle, and Distance | 3stpes_158 | 3steps_3 | |
1569 | [{"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, meanin... | A | mcq | Rotation | 3stpes_159 | 3steps_3 | |
157 | [{"role": "user", "question": "As shown in the diagram, a triangular plate is placed on a rectangular sheet of paper. What is the measure of ∠2?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "45°", "D": "90°", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Triangular Rulers | 2steps_157 | 2steps_1 | |
1570 | [{"role": "user", "question": "As shown in the figure, rotate the line segment AB clockwise by 90 degrees around point A to obtain AB6. What are the coordinates of B6?", "hint": "", "options": {"A": "(6, 3)", "B": "(5, 3)", "C": "(6, 2)", "D": "(5, 2)", "E": "No correct answer"}, "choices": []}] | A | mcq | Rotation | 3stpes_160 | 3steps_3 | |
1571 | [{"role": "user", "question": "As shown in the figure, what are the coordinates of B2? ", "hint": "", "options": {"A": "(7, 7)", "B": "(7, 4)", "C": "(7, 2)", "D": "(6, 8)", "E": "No correct answer"}, "choices": []}] | A | mcq | Representing Positions Using Ordered Pairs | 3stpes_161 | 3steps_3 | |
1572 | [{"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, A is directly west of C, BD = 6m, and line segment BD can be obtained by rotating line segment AB counterclockwise around point B by 130°. Given that ∠ABC = 60° and ∠ABD = 130°, in which dire... | A | mcq | Describing Simple Routes Based on Direction and Distance | 3stpes_162 | 3steps_3 | |
1573 | [{"role": "user", "question": "As shown in the diagram, the figure is the unfolded view of a cube. It is known that when the cube is assembled, face C is on top, and from a top-down perspective, face A is facing north and face B is facing east. If the cube is then rotated 45° clockwise, what direction is face B facing?... | A | mcq | Southeast, Southwest, Northeast, Northwest Directions | 3stpes_163 | 3steps_3 | |
1574 | [{"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 | Understanding and Representing Angles | 3stpes_164 | 3steps_3 | |
1575 | [{"role": "user", "question": "As shown in the figure, there is a circular flower bed. Mary walked from the northernmost point of the flower bed along the edge to the easternmost point, taking a total of 80 steps. It is known that Mary's average step length is 0.628 cm, what is the area of the flower bed ( ) m²?(π = 3... | B | mcq | Area of Circles | 3stpes_165 | 3steps_3 | |
1576 | [{"role": "user", "question": "As shown in the figure, a circle is drawn with the vertex C of a square as the center. The circle intersects the sides BC and CD of the square at points E and F, respectively. What is the arc length of EF on this circle? ( ) cm.(π = 3.14)", "hint": "", "options": {"A": "50.24", "B": "25.1... | D | mcq | Properties and Understanding of Squares;Circumference of Circles;Understanding Sectors | 3stpes_1 | 3steps_multi | |
1577 | [{"role": "user", "question": "As shown in the figure, there is a cylindrical water storage container. Mike wants to fill it with water. He uses a conical water container, filling it completely with water each time and then pouring it all into the cylindrical container. After pouring water 6 times, the cylindrical cont... | B | mcq | Properties of Cones;Volume and Capacity of Cylinders;Conversion Rates and Calculations Between Length Units | 3stpes_2 | 3steps_multi | |
1578 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is an isosceles trapezoid, with the length of the lower base being twice the length of the upper base. DE is the height of the isosceles trapezoid. After rotating triangle DEC counterclockwise by a certain angle around point D, point C' coincides... | D | mcq | Properties and Understanding of Trapezoids;Rotation;Perimeter of Trapezoids | 3stpes_3 | 3steps_multi | |
1579 | [{"role": "user", "question": "As shown in the figure, the square DEOF is within a sector with a central angle of 90°. What is the area of the square? ( ) cm²", "hint": "", "options": {"A": "0.5", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors;Properties and Understanding of Squares;Area of Squares | 3stpes_4 | 3steps_multi | |
158 | [{"role": "user", "question": "As shown in the diagram, ∠1 =( )?", "hint": "", "options": {"A": "30°", "B": "60°", "C": "55°", "D": "90°", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Triangular Rulers | 2steps_158 | 2steps_1 | |
1580 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a trapezoid, and quadrilateral ABCE is a parallelogram. Given that the area of trapezoid ABCD is 20 cm², what is the area of triangle BCE in cm²?", "hint": "", "options": {"A": "6", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "cho... | A | mcq | Area of Trapezoids;Properties and Understanding of Parallelograms;Area of Triangles | 3stpes_5 | 3steps_multi | |
1581 | [{"role": "user", "question": "As shown in the figure, Mike's initial position is at point A. He walks 5 meters north to reach point B, and then walks 5 meters east to reach point C. In which direction is point C from point A?", "hint": "", "options": {"A": "North by west 45°", "B": "South by east 45°", "C": "North by ... | C | mcq | Cardinal Directions (East, South, West, North);Properties and Understanding of Triangles;Southeast, Southwest, Northeast, Northwest Directions | 3stpes_6 | 3steps_multi | |
1582 | [{"role": "user", "question": "If the cone shown in the figure is cut along the middle, the area of the triangle ABC at the cut surface is 3 cm², then what is the volume of the cone in cm³?", "hint": "", "options": {"A": "3π", "B": "1π", "C": "2π", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties of Cones;Area of Triangles;Volume and Capacity of Cones | 3stpes_7 | 3steps_multi | |
1583 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a trapezoid with an area of 48 cm². Its lower base is three times the length of its upper base. When the upper base is extended to point E, it becomes a parallelogram, specifically parallelogram ABCE in the figure. What is the area of parallel... | C | mcq | Properties and Understanding of Parallelograms;Area of Trapezoids;Area of Parallelograms | 3stpes_8 | 3steps_multi | |
1584 | [{"role": "user", "question": "As shown in the figure, circles A and B have equal radii. Point A is on circle B, and point B is on circle A. A and B are the centers of the two circles, respectively. Point P is the intersection point of the two circles. Connect PA and PB. At this time, the arc length corresponding to se... | B | mcq | Understanding Circles;Properties and Understanding of Triangles;Understanding Sectors | 3stpes_9 | 3steps_multi | |
1585 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a parallelogram. A circle with a radius of 1 cm is drawn with center C, and the other three vertices of the parallelogram ABCD are exactly on the circle. What is the measure of ∠ABC?", "hint": "", "options": {"A": "45°", "B": "60°", "C": "72°"... | B | mcq | Properties and Understanding of Parallelograms;Understanding Circles;Properties and Understanding of Triangles | 3stpes_10 | 3steps_multi | |
1586 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a rectangle with an area of 20 cm². Taking B as the center and BA as the radius, the sector intersects the length BC of the rectangle at point E. A square FBHG is drawn inside the sector. The area of square FBHG is () cm².", "hint": "", "optio... | B | mcq | Area of Rectangles;Understanding Sectors;Area of Squares | 3stpes_11 | 3steps_multi | |
1587 | [{"role": "user", "question": "As shown in the figure, the rectangle ABCD is the front view of a cylinder. The perimeter of rectangle ABCD is 20 cm. What is the surface area of this cylinder in cm²?", "hint": "", "options": {"A": "24π", "B": "16π", "C": "32π", "D": "No correct answer"}, "choices": []}] | C | mcq | Area of Rectangles;Properties of Cylinders;Surface Area of Cylinders | 3stpes_12 | 3steps_multi | |
1588 | [{"role": "user", "question": "The lateral view of the cylinder is a rectangle ABCD with an area of 12.56 cm² as shown in the figure. Therefore, the front view of this cylinder is a ().(π = 3.14)", "hint": "", "options": {"A": "Cannot be determined", "B": "Circle", "C": "Rectangle", "D": "Square", "E": "No correct answ... | D | mcq | Area of Rectangles;Expanded View of Cylinders;Properties of Cylinders | 3stpes_13 | 3steps_multi | |
1589 | [{"role": "user", "question": "As shown in the figure, the volume of the rectangular cuboid is 4 cm³. Its base is a square. The surface area of the rectangular cuboid is () cm².", "hint": "", "options": {"A": "16", "B": "12", "C": "6", "D": "4", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Squares;Volume and Capacity of Rectangular Cuboids;Surface Area of Rectangular Cuboids | 3stpes_14 | 3steps_multi | |
159 | [{"role": "user", "question": "As shown in the diagram, what is the relationship between the lengths of the two legs of a right triangle?", "hint": "", "options": {"A": "Cannot be determined", "B": "The two sides are not equal", "C": "The two sides are equal", "D": "No correct answer"}, "choices": []}] | C | mcq | Understanding Triangular Rulers | 2steps_159 | 2steps_1 | |
1590 | [{"role": "user", "question": "As shown in the figure, the rectangular cuboid can be split into two identical cubes. The total length of the edges of each cube is marked in the figure. What is the surface area of this rectangular cuboid? ( ) cm²", "hint": "", "options": {"A": "48", "B": "40", "C": "32", "D": "20", "E":... | B | mcq | Properties and Understanding of Cubes;Combining and Dividing Solids;Surface Area of Rectangular Cuboids | 3stpes_15 | 3steps_multi | |
1591 | [{"role": "user", "question": "As shown in the figure, the volume and height of the cone are given. What is the area of the front view of this cone? ( ) cm².(π = 3.14)", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Cones;Properties of Cones;Area of Triangles | 3stpes_16 | 3steps_multi | |
1592 | [{"role": "user", "question": "As shown in the figure, triangle ABC with an area of 48 cm² is the front view of a cone. What is the volume of this cone in cm³?", "hint": "", "options": {"A": "24π", "B": "16π", "C": "32π", "D": "64π", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Triangles;Properties of Cones;Volume and Capacity of Cones | 3stpes_17 | 3steps_multi | |
1593 | [{"role": "user", "question": "Given that the area of the sector with a central angle of 90° is equal to the area of a circle on the left, connect points A and C. What is the area of triangle ABC in cm²?（Use π=3.14）", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": ... | C | mcq | Area of Circles;Area of Sectors;Area of Triangles | 3stpes_18 | 3steps_multi | |
1594 | [{"role": "user", "question": "As shown in the figure, ABCD is a parallelogram. Using B as the vertex and AB as the radius, a sector is drawn that just passes through point C. Given that the area of this sector is 37.68 cm², what is the perimeter of this parallelogram in cm?(Use π=3.14)", "hint": "", "options": {"A": "... | A | mcq | Properties and Understanding of Parallelograms;Area of Sectors;Perimeter of Parallelograms | 3stpes_19 | 3steps_multi | |
1595 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is an isosceles trapezoid. Point E is taken on BC, and the figure is folded along DE such that point C coincides exactly with point A after folding. At this time, a parallelogram ABED is formed. The relationship between the lengths of DE and AD i... | A | mcq | Properties and Understanding of Trapezoids;Folding Problems of Figures;Properties and Understanding of Parallelograms | 3stpes_20 | 3steps_multi | |
1596 | [{"role": "user", "question": "A rectangular steel plate with a length of 20.56 cm is shown in the diagram. The shaded portion obtained after cutting can be used to make a cylinder. What is the volume of this cylinder in cm³? (Use π = 3.14)", "hint": "", "options": {"A": "50.24", "B": "25.12", "C": "12.56", "D": "6.28"... | A | mcq | Expanded View of Cylinders;Area of Circles;Volume and Capacity of Cylinders | 3stpes_21 | 3steps_multi | |
1597 | [{"role": "user", "question": "As shown in the figure, triangle ABC is the front view of a cone. The area of triangle ABC is 12 cm². What is the volume of the cone with triangle ABC as its front view? ( ) cm³?(π = 3.14)", "hint": "", "options": {"A": "50.24", "B": "37.68", "C": "125.6", "D": "62.8", "E": "No correct an... | B | mcq | Area of Triangles;Area of Circles;Volume and Capacity of Cones | 3stpes_22 | 3steps_multi | |
1598 | [{"role": "user", "question": "As shown in the figure, two identical largest circles are cut out from a rectangular piece of paper. The circumference of one of the circles is 12.56 cm. What is the perimeter of the rectangle? (Use π = 3.14) ( ) cm²", "hint": "", "options": {"A": "48", "B": "40", "C": "32", "D": "24", "... | D | mcq | Circumference of Circles;Understanding Circles;Perimeter of Rectangles | 3stpes_23 | 3steps_multi | |
1599 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a square. Inside the square, a circle with a radius of 2 cm is drawn, forming the shaded area S1. Then, using point A as the center and AB as the radius, a sector ABD is drawn, forming an irregular shaded area S2. The area of the shaded part S... | D | mcq | Area of Squares;Area of Circles;Area of Sectors | 3stpes_24 | 3steps_multi | |
16 | [{"role": "user", "question": "As shown in the leftmost diagram, if you subtract 1 from the number to the right of the '3' square, the result is:", "hint": "", "options": {"A": "①", "B": "②", "C": "③", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Left-Right Position | 2steps_16 | 2steps_1 | |
160 | [{"role": "user", "question": "As shown in the diagram, a triangular ruler is placed at DE, ∠1 = ( )", "hint": "", "options": {"A": "30°", "B": "60°", "C": "90°", "D": "45°", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Triangular Rulers | 2steps_160 | 2steps_1 | |
1600 | [{"role": "user", "question": "As shown in the figure, triangle ABC is an isosceles triangle, and the two sides of the triangular ruler coincide exactly with the two sides of ∠A. What is the measure of ∠B? ( )°", "hint": "", "options": {"A": "30", "B": "60", "C": "120", "D": "150", "E": "No correct answer"}, "choices":... | C | mcq | Understanding Triangular Rulers;Properties and Understanding of Triangles;Sum of Interior Angles of Triangles | 3stpes_25 | 3steps_multi | |
1601 | [{"role": "user", "question": "As shown in the figure, ABCD is a right trapezoid with a rectangle ABDE inside it. What is the length of CD? ( ) cm", "hint": "", "options": {"A": "5", "B": "4", "C": "3", "D": "2", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Trapezoids;Properties and Understanding of Triangles;Properties and Understanding of Rectangles | 3stpes_26 | 3steps_multi | |
1602 | [{"role": "user", "question": "In rectangle ABCD, DAE and CBE are two sectors with radii AD and BC, respectively. What is the perimeter of rectangle ABCD? ( ) cm", "hint": "", "options": {"A": "16", "B": "12", "C": "6", "D": "4", "E": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Rectangles;Understanding Sectors;Perimeter of Rectangles | 3stpes_27 | 3steps_multi | |
1603 | [{"role": "user", "question": "A rectangular cuboid, if its height is increased by 4 cm, becomes a cube. At this point, the surface area is increased by 128 cm² compared to the original. What was the original surface area of the rectangular cuboid in square centimeters?", "hint": "", "options": {"A": "512", "B": "64", ... | D | mcq | Properties and Understanding of Cubes;Properties and Understanding of Rectangular Cuboids;Surface Area of Cubes | 3stpes_28 | 3steps_multi | |
1604 | [{"role": "user", "question": "As shown in the figure, the diagram is the unfolded view of a cylinder. What is the lateral surface area of this cylinder?(Use π = 3.14) ( ) cm²", "hint": "", "options": {"A": "50.24", "B": "25.12", "C": "12.56", "D": "75.36", "E": "No correct answer"}, "choices": []}] | D | mcq | Circumference of Circles;Expanded View of Cylinders;Area of Rectangles | 3stpes_29 | 3steps_multi | |
1605 | [{"role": "user", "question": "As shown in the figure, the circumference of the base of a cylinder is equal to its height. If the height is reduced by 4 centimeters, the surface area decreases by 50.24 square centimeters. What was the original surface area of this cylinder?", "hint": "", "options": {"A": "502.4", "B": ... | D | mcq | Expanded View of Cylinders;Circumference of Circles;Surface Area of Cylinders | 3stpes_30 | 3steps_multi | |
1606 | [{"role": "user", "question": "As shown in the figure, there is a circle enclosed by a wire, and its area is as shown. Now, this wire is reformed into an isosceles trapezoid with the top and bottom as shown in the figure. What is the length of the leg of this trapezoid in π? (Unit: cm)", "hint": "", "options": {"A": "4... | C | mcq | Area of Circles;Circumference of Circles;Perimeter of Trapezoids | 3stpes_31 | 3steps_multi | |
1607 | [{"role": "user", "question": "As shown in the figure, a triangular ruler is stacked with three circular paper pieces. Circles 2 and 3 are identical. It is known that the circumference of circle 1 is 20π cm. What is the area of circle 2 in cm²?", "hint": "", "options": {"A": "24π", "B": "26π", "C": "25π", "D": "No corr... | C | mcq | Understanding Triangular Rulers;Circumference of Circles;Area of Circles | 3stpes_32 | 3steps_multi | |
1608 | [{"role": "user", "question": "As shown in the figure, there is an isosceles trapezoid made of wire. This wire can also be used to form a right-angled cube frame, and the volume of the cube frame is shown in the figure. What is the length of the legs of the isosceles trapezoid in cm?", "hint": "", "options": {"A": "4",... | C | mcq | Volume and Capacity of Cubes;Properties and Understanding of Cubes;Perimeter of Trapezoids | 3stpes_33 | 3steps_multi | |
1609 | [{"role": "user", "question": "There are two iron wires of the same length, which are respectively formed into the following cube frame and rectangular cuboid frame. What is the volume of the rectangular cuboid? ( ) cm³", "hint": "", "options": {"A": "114", "B": "125", "C": "105", "D": "No correct answer"}, "choices": ... | C | mcq | Properties and Understanding of Cubes;Properties and Understanding of Rectangular Cuboids;Volume and Capacity of Rectangular Cuboids | 3stpes_34 | 3steps_multi | |
161 | [{"role": "user", "question": "As shown in the diagram, observe the two triangular rulers. The degrees of ∠1 and ∠2 are respectively ( )", "hint": "", "options": {"A": "30°, 30°", "B": "30°, 60°", "C": "60°, 30°", "D": "30°, 90°", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Triangular Rulers | 2steps_161 | 2steps_1 | |
1610 | [{"role": "user", "question": "As shown in the figure, rectangle ABCD is formed by a piece of wire. If the side CD is cut off to form the cube on the right, what is the volume of the cube? ( ) cm³", "hint": "", "options": {"A": "24", "B": "52", "C": "27", "D": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Rectangles;Properties and Understanding of Cubes;Volume and Capacity of Cubes | 3stpes_35 | 3steps_multi | |
1611 | [{"role": "user", "question": "As shown in the figure, a circular wire frame is cut at section CD and formed into a cube. What is the volume of the cube? ( ) cm³", "hint": "", "options": {"A": "4", "B": "5", "C": "1", "D": "No correct answer"}, "choices": []}] | C | mcq | Understanding Circles;Properties and Understanding of Cubes;Volume and Capacity of Cubes | 3stpes_36 | 3steps_multi | |
1612 | [{"role": "user", "question": "As shown in the figure, quadrilateral GBCD is an isosceles trapezoid (with a perimeter of 40 cm), and quadrilateral ABCD is a parallelogram. What is the area of triangle GAB in cm²?", "hint": "", "options": {"A": "24", "B": "50", "C": "40", "D": "No correct answer"}, "choices": []}] | C | mcq | Perimeter of Trapezoids;Properties and Understanding of Parallelograms;Area of Triangles | 3stpes_37 | 3steps_multi | |
1613 | [{"role": "user", "question": "As shown in the figure, ∠4 in the right triangle is equal to ∠5 in the left triangular ruler. What is ∠2 + ∠3 = ()°?", "hint": "", "options": {"A": "200", "B": "250", "C": "260", "D": "No correct answer"}, "choices": []}] | C | mcq | Understanding Triangular Rulers;Sum of Interior Angles of Triangles;Sum of Interior Angles of Other Polygons | 3stpes_38 | 3steps_multi | |
1614 | [{"role": "user", "question": "A parallelogram-shaped pool has a shortest distance of 4 meters from AB to CD. What is the area of this pool in square meters?", "hint": "", "options": {"A": "12", "B": "20", "C": "24", "D": "No correct answer"}, "choices": []}] | C | mcq | perpendicularity;Properties and Understanding of Parallelograms;Area of Parallelograms | 3stpes_39 | 3steps_multi | |
1615 | [{"role": "user", "question": "As shown in the figure, the isosceles trapezoid on the left is formed with a wire. This wire can also be used to form the square on the right. What is the surface area of this square in cm²?", "hint": "", "options": {"A": "6", "B": "12", "C": "18", "D": "No correct answer"}, "choices": []... | A | mcq | Perimeter of Trapezoids;Properties and Understanding of Cubes;Surface Area of Cubes | 3stpes_40 | 3steps_multi | |
1616 | [{"role": "user", "question": "As shown in the figure, a piece of wire can be used to form the parallelogram above. The same piece of wire can also be used to form the rectangular cuboid below. What is the surface area of the rectangular cuboid in cm²?", "hint": "", "options": {"A": "6", "B": "10", "C": "12", "D": "No ... | B | mcq | Perimeter of Parallelograms;Properties and Understanding of Rectangular Cuboids;Surface Area of Rectangular Cuboids | 3stpes_41 | 3steps_multi | |
1617 | [{"role": "user", "question": "A trapezoidal pool has a distance of 4 meters from AB to CD. What is the area of this pool in square meters?", "hint": "", "options": {"A": "12", "B": "20", "C": "24", "D": "No correct answer"}, "choices": []}] | C | mcq | perpendicularity;Properties and Understanding of Trapezoids;Area of Trapezoids | 3stpes_42 | 3steps_multi | |
1618 | [{"role": "user", "question": "A rectangular sheet of metal has a square with an area of 1 cm² cut out from each of its four corners. It is then folded into an open-top rectangular box. What is the area of the base of the box in cm²?", "hint": "", "options": {"A": "50 cm²", "B": "100 cm²", "C": "10 cm²", "D": "No corre... | A | mcq | Area of Squares;Expanded View of Rectangular Cuboids;Surface Area of Rectangular Cuboids | 3stpes_43 | 3steps_multi | |
1619 | [{"role": "user", "question": "A square piece of metal has a small square cut out from each of its four corners. It is then folded to form an open-top cube. The surface area of the cube is () cm².", "hint": "", "options": {"A": "8 cm²", "B": "16 cm²", "C": "24 cm²", "D": "32 cm²", "E": "No correct answer"}, "choices": ... | C | mcq | Area of Squares;Expanded View of Cubes;Surface Area of Cubes | 3stpes_44 | 3steps_multi | |
162 | [{"role": "user", "question": "As shown in the diagram, triangle ABC is a cross-section of a cone. What is the measure of ∠1?", "hint": "", "options": {"A": "30°", "B": "45°", "C": "60°", "D": "90°", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Triangular Rulers | 2steps_162 | 2steps_1 | |
1620 | [{"role": "user", "question": "As shown in the figure, the area of triangle ABE is 4 cm², and the area of trapezoid AECF is 14 cm². What is the area of parallelogram ABCD?", "hint": "", "options": {"A": "24", "B": "16", "C": "8", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Triangles;Area of Trapezoids;Area of Parallelograms | 3stpes_45 | 3steps_multi | |
1621 | [{"role": "user", "question": "As shown in the figure, an isosceles trapezoid is divided into a parallelogram and a triangle. The perimeter of the triangle is () centimeters.", "hint": "", "options": {"A": "24", "B": "20", "C": "18", "D": "8", "E": "No correct answer"}, "choices": []}] | D | mcq | Properties and Understanding of Trapezoids;Properties and Understanding of Parallelograms;Perimeter of Triangles | 3stpes_46 | 3steps_multi | |
1622 | [{"role": "user", "question": "As shown in the figure, use a ruler to measure the height of the water when the bottle is upright and the height of the air when the bottle is upside down. What is the volume of the bottle in cm³?", "hint": "", "options": {"A": "108π", "B": "72π", "C": "54π", "D": "No correct answer"}, "c... | B | mcq | Understanding Length (Using a Ruler);Volume and Capacity of Cylinders;Combining and Dividing Solids | 3stpes_47 | 3steps_multi | |
1623 | [{"role": "user", "question": "As shown in the figure, the area of the rectangle below is 48 cm². If it is rotated one full turn around AB, a three-dimensional shape is formed. What is its volume ( ) cm³?", "hint": "", "options": {"A": "288π", "B": "280π", "C": "100π", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Rectangles;Properties of Cylinders;Volume and Capacity of Cylinders | 3stpes_48 | 3steps_multi | |
1624 | [{"role": "user", "question": "As shown in the figure, a rectangle with an area of 10 cm² is rotated around the line L to form a three-dimensional shape. What is the base area of this three-dimensional shape in cm²?(π = 3.14)", "hint": "", "options": {"A": "12.56", "B": "1.56", "C": "78.5", "D": "No correct answer"}, "... | A | mcq | Area of Rectangles;Properties of Cylinders;Surface Area of Cylinders | 3stpes_49 | 3steps_multi | |
1625 | [{"role": "user", "question": "As shown in the figure below, triangle ABC is first translated 2 units downwards and then 1 unit to the right to obtain the new triangle A'B'C'. Then, point A'C' is rotated 90° clockwise around point C'. After the rotation, the coordinates of point A' are ( ).", "hint": "", "options": ... | A | mcq | Representing Positions Using Ordered Pairs;Translation;Rotation | 3stpes_50 | 3steps_multi | |
1626 | [{"role": "user", "question": "As shown in the figure, point B can be represented by the coordinates (2, 2), and the area of the rectangle is 6 cm². What are the coordinates of point D?", "hint": "", "options": {"A": "(5, 4)", "B": "(5, 3)", "C": "(4, 5)", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Length (Using a Ruler);Area of Rectangles;Representing Positions Using Ordered Pairs | 3stpes_51 | 3steps_multi | |
1627 | [{"role": "user", "question": "Lisa used several 1 cm³ cubic wooden blocks to form a rectangular cuboid. As shown in the figure, the images are views from the front and the top of the rectangular cuboid. What is the volume of this rectangular cuboid in cubic decimeters (dm³)?", "hint": "", "options": {"A": "0.024", "B"... | A | mcq | Observing Objects;Volume and Capacity of Rectangular Cuboids;Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_52 | 3steps_multi | |
1628 | [{"role": "user", "question": "A cylindrical wooden log with a height of 5 dm is cut vertically along the diameter of its base into two parts. Compared to the original cylinder, the surface area increases by 60 dm². What was the original surface area of the cylindrical log in dm²?", "hint": "", "options": {"A": "18π", ... | B | mcq | Combining and Dividing Solids;Area of Rectangles;Surface Area of Cylinders | 3stpes_53 | 3steps_multi |
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