id stringlengths 1 4 | media images listlengths 1 1 | messages stringlengths 167 667 | answer stringclasses 5
values | question_type stringclasses 1
value | knowledge_concept stringlengths 8 177 | problem_id stringlengths 8 10 | step_key stringclasses 7
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|---|---|---|---|---|---|---|---|
1269 | [{"role": "user", "question": "As shown in the figure, the area of square ABCD is 16 cm². A circle with a radius of 2 cm is drawn inside the square. What is the area of the shaded portion in the lower right corner? (Use π = 3.14)", "hint": "", "options": {"A": "0.86", "B": "5.44", "C": "12.56", "D": "Cannot be determin... | A | mcq | Area of Circles | 3stpes_24 | 3steps_2 | |
127 | [{"role": "user", "question": "Among the following shaded figures, only one is a sector. Which one is it?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Sectors | 2steps_127 | 2steps_1 | |
1270 | [{"role": "user", "question": "As shown in the figure, triangle ABC is an isosceles triangle. A triangular ruler is placed at ∠A, and the two edges of the triangular ruler coincide exactly with the two sides of ∠A. What is ∠C equal to? ( )°", "hint": "", "options": {"A": "45", "B": "60", "C": "30", "D": "90", "E": "No ... | C | mcq | Properties and Understanding of Triangles | 3stpes_25 | 3steps_2 | |
1271 | [{"role": "user", "question": "In triangle BEC, line segment BE is perpendicular to CD, then CE = ( ) cm ", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Triangles | 3stpes_26 | 3steps_2 | |
1272 | [{"role": "user", "question": "In rectangle ABCD, DAE and CBE are two sectors with radii AD and BC respectively. What is the length of AB? ()", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors | 3stpes_27 | 3steps_2 | |
1273 | [{"role": "user", "question": "The base of a rectangular cuboid is a square. If the height of the rectangular cuboid is increased by 4 cm, and its surface area also increases by 128 cm², what is the side length of the base of the rectangular cuboid in cm?", "hint": "", "options": {"A": "12", "B": "8", "C": "6", "D": "4... | B | mcq | Properties and Understanding of Rectangular Cuboids | 3stpes_28 | 3steps_2 | |
1274 | [{"role": "user", "question": "As shown in the figure, the diagram is the unfolded view of a cylinder. The circumference of each of the two circles in the diagram is 12.56 cm. What is the length of the rectangle in the diagram? ( ) cm", "hint": "", "options": {"A": "50.24", "B": "3.14", "C": "12.56", "D": "6.28", "E": ... | C | mcq | Expanded View of Cylinders | 3stpes_29 | 3steps_2 | |
1275 | [{"role": "user", "question": "As shown in the figure, the perimeter of the base of the solid is 12.56 cm. What is the radius of the base in cm? (Use π = 3.14)", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | C | mcq | Circumference of Circles | 3stpes_30 | 3steps_2 | |
1276 | [{"role": "user", "question": "As shown in the figure, there is a circle enclosed by a wire, with its radius marked in the diagram. What is the circumference of this circle?", "hint": "", "options": {"A": "10π", "B": "3π", "C": "2π", "D": "π", "E": "No correct answer"}, "choices": []}] | A | mcq | Circumference of Circles | 3stpes_31 | 3steps_2 | |
1277 | [{"role": "user", "question": "As shown in the figure, a right-angled triangle is overlapped with three circular paper pieces. The lengths of the two legs of the triangular ruler are equal. Circles 2 and 3 are identical, and the circumference of circle 1 is 20π cm. What is the radius of circle 2 in cm?", "hint": "", "o... | D | mcq | Circumference of Circles | 3stpes_32 | 3steps_2 | |
1278 | [{"role": "user", "question": "As shown in the figure, there is an isosceles trapezoid made of wire. This piece of wire can also be bent into a square frame on the right. What is the length of the wire? ( ) cm", "hint": "", "options": {"A": "12 cm", "B": "10 cm", "C": "8 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Cubes | 3stpes_33 | 3steps_2 | |
1279 | [{"role": "user", "question": "There are two iron wires, each 60 cm long, which are respectively formed into the following cube frame and rectangular cuboid frame. What is the height of the rectangular cuboid?", "hint": "", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Rectangular Cuboids | 3stpes_34 | 3steps_2 | |
128 | [{"role": "user", "question": "As shown in the diagram, if the circumference of a circle is 36cm, then the angle ∠A corresponding to an arc length of 6cm equals ( )°.", "hint": "", "options": {"A": "30°", "B": "60°", "C": "90°", "D": "45°", "E": "No correct answer"}, "choices": []}] | B | mcq | Understanding Sectors | 2steps_128 | 2steps_1 | |
1280 | [{"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 edge length of the cube? ( )", "hint": "", "options": {"A": "3cm", "B": "4cm", "C": "5cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Cubes | 3stpes_35 | 3steps_2 | |
1281 | [{"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 edge length of the cube? ( )", "hint": "", "options": {"A": "1 cm", "B": "2 cm", "C": "3 cm", "D": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Cubes | 3stpes_36 | 3steps_2 | |
1282 | [{"role": "user", "question": "As shown in the figure, quadrilateral GBCD is an isosceles trapezoid, and quadrilateral ABCD is a parallelogram. What is the length of AB in cm?", "hint": "", "options": {"A": "10", "B": "7", "C": "8", "D": "9", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Parallelograms | 3stpes_37 | 3steps_2 | |
1283 | [{"role": "user", "question": "As shown in the figure, the left triangle is a triangular ruler. What is the measure of angle ∠1 in the right triangle? ", "hint": "", "options": {"A": "55°", "B": "45°", "C": "65°", "D": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Triangles | 3stpes_38 | 3steps_2 | |
1284 | [{"role": "user", "question": "The shortest path from side AB to side CD is path ②, and path ② is perpendicular to AB. What is the height of the parallelogram in meters?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Parallelograms | 3stpes_39 | 3steps_2 | |
1285 | [{"role": "user", "question": "As shown in the figure, the isosceles trapezoid on the left is formed using a 12 cm long wire. This wire can also be used to form the three-dimensional shape on the right. What is the edge length of this three-dimensional shape in cm?", "hint": "", "options": {"A": "1", "B": "2", "C": "3"... | A | mcq | Properties and Understanding of Cubes | 3stpes_40 | 3steps_2 | |
1286 | [{"role": "user", "question": "As shown in the figure, a 16 cm long wire can be used to form the parallelogram above. The same wire can also be used to form the rectangular cuboid below. What is the height of the rectangular cuboid in cm?", "hint": "", "options": {"A": "1", "B": "2", "C": "3", "D": "No correct answer"}... | A | mcq | Properties and Understanding of Rectangular Cuboids | 3stpes_41 | 3steps_2 | |
1287 | [{"role": "user", "question": "The shortest path from side AB to side CD is path ②, and path ② is perpendicular to AB. What is the height of the trapezoid in meters?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Trapezoids | 3stpes_42 | 3steps_2 | |
1288 | [{"role": "user", "question": "A rectangular piece of iron sheet has a 1cm square cut out from each of its four corners. Then, it is folded to form an open-top rectangular box. What are the length, width, and height of the rectangular box? ( )", "hint": "", "options": {"A": "10cm 5cm 1cm", "B": "7cm 12cm 1cm", "C": "1c... | A | mcq | Expanded View of Rectangular Cuboids | 3stpes_43 | 3steps_2 | |
1289 | [{"role": "user", "question": "A square metal sheet has a square with a side length of 2 cm cut off from each of its four corners. Then, it is folded to form an open-top cube. What is the edge length of the cube? ( ) cm", "hint": "", "options": {"A": "1 cm", "B": "2 cm", "C": "3 cm", "D": "No correct answer"}, "choices... | B | mcq | Expanded View of Cubes | 3stpes_44 | 3steps_2 | |
129 | [{"role": "user", "question": "As shown in the diagram, what is the length of EG in centimeters?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors | 2steps_129 | 2steps_1 | |
1290 | [{"role": "user", "question": "As shown in the figure, the area of quadrilateral AECF is 14 cm². What is the length of CE? ( ) cm", "hint": "", "options": {"A": "4", "B": "5", "C": "2", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Trapezoids | 3stpes_45 | 3steps_2 | |
1291 | [{"role": "user", "question": "As shown in the figure, there is an isosceles trapezoid ABCD with a parallelogram ABCE inside it. What are the lengths of sides BE and CE, respectively? ( ) cm", "hint": "", "options": {"A": "3, 5", "B": "1, 4", "C": "1, 6", "D": "1, 8", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Parallelograms | 3stpes_46 | 3steps_2 | |
1292 | [{"role": "user", "question": "As shown in the figure, there is a bottle in an upright position and an inverted position. What are the volumes of the liquid surface when upright and the air volume when inverted, respectively, in cm³?", "hint": "", "options": {"A": "54π, 18π", "B": "60π, 18π", "C": "70π, 20π", "D": "Can... | A | mcq | Volume and Capacity of Cylinders | 3stpes_47 | 3steps_2 | |
1293 | [{"role": "user", "question": "As shown in the figure, if the rectangle is rotated around the line along AB in the rectangle, what are the height and the radius of the base of the resulting cylinder, respectively?", "hint": "", "options": {"A": "8cm-6cm", "B": "8cm-3cm", "C": "4cm-6cm", "D": "No correct answer"}, "choi... | A | mcq | Properties of Cylinders | 3stpes_48 | 3steps_2 | |
1294 | [{"role": "user", "question": "In the diagram, what is the 3D shape formed by rotating the rectangle around the line L for one full turn? ", "hint": "", "options": {"A": "A cylinder with a height of 5 cm and a base radius of 2 cm", "B": "A cylinder with a height of 2 cm and a base radius of 5 cm", "C": "A cylinder with... | A | mcq | Properties of Cylinders | 3stpes_49 | 3steps_2 | |
1295 | [{"role": "user", "question": "If triangle ABC is translated two units down and then one unit to the right to obtain the new triangle A'B'C', what are the coordinates of point A' after the translation?", "hint": "", "options": {"A": "(2, 3)", "B": "(4, 4)", "C": "(3, 3)", "D": "(5, 3)", "E": "No correct answer"}, "choi... | D | mcq | Translation | 3stpes_50 | 3steps_2 | |
1296 | [{"role": "user", "question": "As shown in the figure, the area of rectangle ABCD is 6 cm². What is the length of CD?", "hint": "", "options": {"A": "2", "B": "3", "C": "4", "D": "5", "E": "No correct answer"}, "choices": []}] | A | mcq | Area of Rectangles | 3stpes_51 | 3steps_2 | |
1297 | [{"role": "user", "question": "As shown in the figure, Lisa uses several 1 cm edge length cubic wooden blocks to form the following rectangular cuboid. What is its volume in cm³?", "hint": "", "options": {"A": "10", "B": "18", "C": "24", "D": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Rectangular Cuboids | 3stpes_52 | 3steps_2 | |
1298 | [{"role": "user", "question": "A cylindrical wooden log is cut vertically along the diameter of its base into two parts (as shown in the figure), resulting in two rectangular cut surfaces. What is the diameter of the base of this cylindrical wooden log in decimeters (dm)?", "hint": "", "options": {"A": "6", "B": "4", "... | A | mcq | Area of Rectangles | 3stpes_53 | 3steps_2 | |
1299 | [{"role": "user", "question": "From the rectangle shown in the figure, a largest possible square is cut out. What is the side length of the square ( ) cm?", "hint": "", "options": {"A": "16", "B": "21", "C": "32", "D": "No correct answer"}, "choices": []}] | B | mcq | Division of Plane Figures | 3stpes_54 | 3steps_2 | |
13 | [{"role": "user", "question": "As shown in the diagram, B is on the ( ) side of A.", "hint": "", "options": {"A": "Left", "B": "Right", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | B | mcq | Left-Right Position | 2steps_13 | 2steps_1 | |
130 | [{"role": "user", "question": "As shown in the diagram, what is the arc length of this sector?", "hint": "", "options": {"A": "2π", "B": "4π", "C": "8π", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors | 2steps_130 | 2steps_1 | |
1300 | [{"role": "user", "question": "As shown in the figure, a piece of triangular glass is missing. What is the missing angle of this triangle ( )°?", "hint": "", "options": {"A": "105", "B": "95", "C": "120", "D": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Triangles | 3stpes_55 | 3steps_2 | |
1301 | [{"role": "user", "question": "A piece of triangular glass (as shown in the figure) has a missing angle of ()°.", "hint": "", "options": {"A": "105", "B": "95", "C": "110", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 3stpes_56 | 3steps_2 | |
1302 | [{"role": "user", "question": "As shown in the figure, a piece of triangular glass is missing. What is the measure of the missing angle in this triangle ( )°?", "hint": "", "options": {"A": "105", "B": "90", "C": "110", "D": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles | 3stpes_57 | 3steps_2 | |
1303 | [{"role": "user", "question": "As shown in the figure, triangle ABC is an isosceles triangle. What is the measure of ∠B in degrees?", "hint": "", "options": {"A": "25", "B": "35", "C": "10", "D": "No correct answer"}, "choices": []}] | A | mcq | Sum of Interior Angles of Triangles | 3stpes_58 | 3steps_2 | |
1304 | [{"role": "user", "question": "As shown in the figure, in the right triangle ABC, ∠A = ( )°", "hint": "", "options": {"A": "42", "B": "90", "C": "48", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles | 3stpes_59 | 3steps_2 | |
1305 | [{"role": "user", "question": "As shown in the figure, ∠2 = ()°", "hint": "", "options": {"A": "52", "B": "70", "C": "72", "D": "38", "E": "No correct answer"}, "choices": []}] | B | mcq | Calculation and Comparison of Angles | 3stpes_60 | 3steps_2 | |
1306 | [{"role": "user", "question": "As shown in the figure, in the triangle, ∠2 = ( )", "hint": "", "options": {"A": "95°", "B": "85°", "C": "105°", "D": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles | 3stpes_61 | 3steps_2 | |
1307 | [{"role": "user", "question": "As shown in the figure, in △ABC, what is ∠A + ∠C?", "hint": "", "options": {"A": "150°", "B": "140°", "C": "130°", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 3stpes_62 | 3steps_2 | |
1308 | [{"role": "user", "question": "A triangle paper has one of its corners torn off (as shown in the figure). What is the measure of the angle that was torn off? ( )", "hint": "", "options": {"A": "50°", "B": "40°", "C": "67°", "D": "No correct answer"}, "choices": []}] | C | mcq | Sum of Interior Angles of Triangles | 3stpes_63 | 3steps_2 | |
1309 | [{"role": "user", "question": "In the figure, there is an isosceles triangle. Then ∠1 ( ) ∠2.", "hint": "", "options": {"A": ">", "B": "=", "C": "<", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles | 3stpes_64 | 3steps_2 | |
131 | [{"role": "user", "question": "As shown in the diagram, what is the central angle of this sector?", "hint": "", "options": {"A": "90°", "B": "60°", "C": "120°", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors | 2steps_131 | 2steps_1 | |
1310 | [{"role": "user", "question": "As shown in the figure, in triangle ABC, ∠A + ∠C =", "hint": "", "options": {"A": "150°", "B": "100°", "C": "130°", "D": "No correct answer"}, "choices": []}] | B | mcq | Sum of Interior Angles of Triangles | 3stpes_65 | 3steps_2 | |
1311 | [{"role": "user", "question": "The triangle in the figure is a () triangle, and ∠1 () ∠2.", "hint": "", "options": {"A": "Right, >", "B": "Isosceles, =", "C": "Obtuse, <", "D": "No correct answer"}, "choices": []}] | B | mcq | Properties and Understanding of Triangles | 3stpes_66 | 3steps_2 | |
1312 | [{"role": "user", "question": "The figure below shows a rectangular piece of paper. After folding the left side, ∠2 ( ) ∠3.", "hint": "", "options": {"A": ">", "B": "=", "C": "<", "D": "No correct answer"}, "choices": []}] | B | mcq | Folding Problems of Figures | 3stpes_67 | 3steps_2 | |
1313 | [{"role": "user", "question": "As shown in the figure, the volume of each small cube is 1 cubic centimeter. What are the length, width, and height of the rectangular cuboid in centimeters?", "hint": "", "options": {"A": "6, 5, 4", "B": "4, 5, 4", "C": "6, 5, 3", "D": "No correct answer"}, "choices": []}] | A | mcq | Observing Objects | 3stpes_68 | 3steps_2 | |
1314 | [{"role": "user", "question": "If the rectangular cuboid in the figure below is cut into the largest possible cube, what is the side length of this cube? (Unit: cm)", "hint": "", "options": {"A": "10", "B": "5", "C": "3", "D": "4", "E": "No correct answer"}, "choices": []}] | D | mcq | Combining and Dividing Solids | 3stpes_69 | 3steps_2 | |
1315 | [{"role": "user", "question": "As shown in the figure, the volume of the small cube that has been cut off is ( ) (unit: cm³)", "hint": "", "options": {"A": "20 cm³", "B": "8 cm³", "C": "40 cm³", "D": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Cubes | 3stpes_70 | 3steps_2 | |
1316 | [{"role": "user", "question": "The white area in the figure is composed of 4 identical sectors, which can be combined to form a complete circle. What is the area of the white part in cm²? (Unit: cm)", "hint": "", "options": {"A": "π", "B": "3π", "C": "9π", "D": "36π", "E": "No correct answer"}, "choices": []}] | C | mcq | Area of Circles | 3stpes_71 | 3steps_2 | |
1317 | [{"role": "user", "question": "The diameter AB of circle ② is shown in the figure. What is the area of circle ② in square centimeters? ( )(π = 3.14)", "hint": "", "options": {"A": "314", "B": "628", "C": "320.28", "D": "No correct answer"}, "choices": []}] | A | mcq | Area of Circles | 3stpes_72 | 3steps_2 | |
1318 | [{"role": "user", "question": "As shown in the figure, a 4-meter-wide path is laid along the outer edge of a semicircular lawn. What is the radius of the circle composed of the path and the lawn? () meters.", "hint": "", "options": {"A": "16", "B": "24", "C": "20", "D": "No correct answer"}, "choices": []}] | B | mcq | Understanding Circles | 3stpes_73 | 3steps_2 | |
1319 | [{"role": "user", "question": "As shown in the figure, multiple small cubes with a side length of 1 cm are combined to form a large rectangular cuboid. The length, width, and height of this rectangular cuboid are respectively () cm.", "hint": "", "options": {"A": "4, 3, 2", "B": "3, 2, 1", "C": "3, 3, 2", "D": "4, 2, 1... | B | mcq | Observing Objects | 3stpes_74 | 3steps_2 | |
132 | [{"role": "user", "question": "As shown in the diagram, what is the arc length of this sector?", "hint": "", "options": {"A": "2π", "B": "4π", "C": "8π", "D": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors | 2steps_132 | 2steps_1 | |
1320 | [{"role": "user", "question": "In the tiling pattern shown in the figure, which is composed of identical right-angled trapezoids, the angle ∠AOC at the junction is equal to ( )°.", "hint": "", "options": {"A": "45", "B": "60", "C": "72", "D": "90", "E": "No correct answer"}, "choices": []}] | A | mcq | Tessellation of Figures | 3stpes_75 | 3steps_2 | |
1321 | [{"role": "user", "question": "As shown in the figure, the three-dimensional shape on the right is obtained by rotating the right-angled trapezoid on the left around its lower base by 360 degrees. This three-dimensional shape can be divided into a cylinder and a cone. What is the volume of the cylinder? (π is taken as ... | A | mcq | Volume and Capacity of Cylinders | 3stpes_76 | 3steps_2 | |
1322 | [{"role": "user", "question": "As shown in the figure, an empty rectangular cuboid water tank is being filled with water by Mike using a conical container. What is the volume of the rectangular cuboid water tank? ( ) cm³", "hint": "", "options": {"A": "6280", "B": "6280000", "C": "62.8", "D": "6.28", "E": "No correct a... | B | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_77 | 3steps_2 | |
1323 | [{"role": "user", "question": "As shown in the figure, which desks are to the left of Lucy's desk?", "hint": "", "options": {"A": "Desks ① and ②", "B": "Desks ③ and ①", "C": "Desks ② and ④", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Left-Right Position | 3stpes_78 | 3steps_2 | |
1324 | [{"role": "user", "question": "As shown in the figure, which desks are to the right of Lucy's desk? ( )", "hint": "", "options": {"A": "Desks ① and ②", "B": "Desks ③ and ①", "C": "Desks ② and ④", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | B | mcq | Left-Right Position | 3stpes_79 | 3steps_2 | |
1325 | [{"role": "user", "question": "As shown in the figure, among the rectangular cuboids ① and ② placed on the left, the bottom rectangular cuboid is ( )", "hint": "", "options": {"A": "②", "B": "①", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Up-Down Position | 3stpes_80 | 3steps_2 | |
1326 | [{"role": "user", "question": "As shown in the figure, among the boxes placed in front of Lucy, which one is on top, ① or ③?", "hint": "", "options": {"A": "③", "B": "①", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Up-Down Position | 3stpes_81 | 3steps_2 | |
1327 | [{"role": "user", "question": "As shown in the figure, a student is in the classroom. What is the color of the shape in the upper part of the blackboard① at the front of the classroom?", "hint": "", "options": {"A": "White", "B": "Yellow", "C": "Blue", "D": "Cannot be determined", "E": "No correct answer"}, "choices": ... | B | mcq | Up-Down Position | 3stpes_82 | 3steps_2 | |
1328 | [{"role": "user", "question": "As shown in the figure, given that EG = 3 cm and line l1 is parallel to line l2, ABCD is a square, then AB = ( ) cm?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Parallel | 3stpes_83 | 3steps_2 | |
1329 | [{"role": "user", "question": "As shown in the figure, line ① is parallel to line ②. What is the length of EG ( ) cm?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Parallel | 3stpes_84 | 3steps_2 | |
133 | [{"role": "user", "question": "In the diagram below, the line segment that is perpendicular to BC and passes through point A is ( )", "hint": "", "options": {"A": "AB", "B": "AC", "C": "AD", "D": "AE", "E": "No correct answer"}, "choices": []}] | D | mcq | perpendicularity | 2steps_133 | 2steps_1 | |
1330 | [{"role": "user", "question": "As shown in the diagram, three cylinders are placed. The volume of cylinder ② is () m³.", "hint": "", "options": {"A": "1", "B": "0.1", "C": "0.01", "D": "0.001", "E": "No correct answer"}, "choices": []}] | B | mcq | Conversion Rates and Calculations Between Volume Units (Including Liters and Milliliters) | 3stpes_85 | 3steps_2 | |
1331 | [{"role": "user", "question": "As shown in the figure, what is the distance between points A and B on line ① ( ) cm?", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Length (Using a Ruler) | 3stpes_86 | 3steps_2 | |
1332 | [{"role": "user", "question": "As shown in the figure, the parallelogram ABCD is the lateral surface development of a cylinder. What is the circumference of the base of the cylinder ( ) cm?", "hint": "", "options": {"A": "20", "B": "10", "C": "15.7", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []... | C | mcq | Expanded View of Cylinders | 3stpes_87 | 3steps_2 | |
1333 | [{"role": "user", "question": "As shown in the figure, the square ABCD is the lateral surface development of a cylinder. What are the radius of the base and the height of the cylinder, respectively? ( ) cm (π = 3.14)", "hint": "", "options": {"A": "6.28, 3.14", "B": "1, 6.28", "C": "2, 6.28", "D": "Cannot be determined... | B | mcq | Expanded View of Cylinders | 3stpes_88 | 3steps_2 | |
1334 | [{"role": "user", "question": "As shown in the diagram, Mike is facing the school. How should he go to the supermarket?", "hint": "", "options": {"A": "Turn left", "B": "Turn right", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | B | mcq | Left-Right Position | 3stpes_89 | 3steps_2 | |
1335 | [{"role": "user", "question": "As shown in the figure, the angle formed by combining two triangular plates is ( )", "hint": "", "options": {"A": "75°", "B": "60°", "C": "95°", "D": "90°", "E": "No correct answer"}, "choices": []}] | D | mcq | Calculation and Comparison of Angles | 3stpes_90 | 3steps_2 | |
1336 | [{"role": "user", "question": "On the square marked A of the cube, the shaded part is as shown in the figure. Color the right side of the shaded part. The correct coloring method is ( )?", "hint": "", "options": {"A": "①", "B": "②", "C": "Cannot be determined", "D": "No correct answer"}, "choices": []}] | A | mcq | Left-Right Position | 3stpes_91 | 3steps_2 | |
1337 | [{"role": "user", "question": "As shown in the figure, the perimeter of the rectangle is 30 cm. What is the length of AD in cm?", "hint": "", "options": {"A": "10", "B": "2", "C": "3", "D": "5", "E": "No correct answer"}, "choices": []}] | A | mcq | Perimeter of Rectangles | 3stpes_92 | 3steps_2 | |
1338 | [{"role": "user", "question": "As shown in the figure, the diagonals of rectangle ABCD are AC and BD. What is the length of OC? ( ) cm", "hint": "", "options": {"A": "3", "B": "4", "C": "5", "D": "6", "E": "No correct answer"}, "choices": []}] | C | mcq | Properties and Understanding of Rectangles | 3stpes_93 | 3steps_2 | |
1339 | [{"role": "user", "question": "As shown in the figure, using a triangular ruler to measure ∠1, what is the degree of ∠1? ", "hint": "", "options": {"A": "30°", "B": "60°", "C": "45°", "D": "90°", "E": "No correct answer"}, "choices": []}] | C | mcq | Understanding Triangular Rulers | 3stpes_94 | 3steps_2 | |
134 | [{"role": "user", "question": "As shown in the diagram, among the following three line segments, the one that is perpendicular to BD is ( ).", "hint": "", "options": {"A": "AB", "B": "AC", "C": "AD", "D": "No correct answer"}, "choices": []}] | A | mcq | perpendicularity | 2steps_134 | 2steps_1 | |
1340 | [{"role": "user", "question": "What is the volume of the cone shown in the figure in cm³?", "hint": "", "options": {"A": "45", "B": "30", "C": "10", "D": "300", "E": "No correct answer"}, "choices": []}] | C | mcq | Volume and Capacity of Cones | 3stpes_95 | 3steps_2 | |
1341 | [{"role": "user", "question": "As shown in the figure, there is a square cross-section ABCD in the cylinder. What is the diameter of the base of the cylinder in cm?", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties of Cylinders | 3stpes_96 | 3steps_2 | |
1342 | [{"role": "user", "question": "Given that the lateral surface area of a cylinder, when unfolded, forms a square (with a known side length), what is the radius of the base of the cylinder in cm?(π = 3.14)", "hint": "", "options": {"A": "4", "B": "3", "C": "2", "D": "1", "E": "No correct answer"}, "choices": []}] | D | mcq | Expanded View of Cylinders | 3stpes_97 | 3steps_2 | |
1343 | [{"role": "user", "question": "When Linlin measured the area of a rectangle, she used small squares to form the pattern shown in the figure. What is the area of the rectangle in cm²?", "hint": "", "options": {"A": "36", "B": "45", "C": "54", "D": "63", "E": "No correct answer"}, "choices": []}] | B | mcq | Area of Rectangles | 3stpes_98 | 3steps_2 | |
1344 | [{"role": "user", "question": "As shown in the figure, there is an equilateral triangle inside a rectangle. Given that ∠3 = 60° and ∠1 = 17°, what is the measure of ∠4?", "hint": "", "options": {"A": "13°", "B": "12°", "C": "17°", "D": "30°", "E": "No correct answer"}, "choices": []}] | A | mcq | Calculation and Comparison of Angles | 3stpes_99 | 3steps_2 | |
1345 | [{"role": "user", "question": "As shown in the figure, two identical isosceles right triangles are combined to form a parallelogram. After combining, the perimeter of the new shape is reduced by 20 cm compared to the original two triangles. What is the length of AB=AD= ( ) cm?", "hint": "", "options": {"A": "10", "B": ... | A | mcq | Properties and Understanding of Triangles | 3stpes_100 | 3steps_2 | |
1346 | [{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a trapezoid formed by combining three right-angled triangles. What is the area of the trapezoid in cm²?", "hint": "", "options": {"A": "21 cm²", "B": "14 cm²", "C": "49 cm²", "D": "24.5 cm²", "E": "No correct answer"}, "choices": []}] | D | mcq | Area of Trapezoids | 3stpes_101 | 3steps_2 | |
1347 | [{"role": "user", "question": "Using a square piece of paper with a side length of 2 dm to measure the area of a desk (as shown in the figure), the length and width of the desk are obtained. What is the area of the desk ( ) dm²?", "hint": "", "options": {"A": "141 dm²", "B": "112 dm²", "C": "56 dm²", "D": "Cannot be... | B | mcq | Area of Rectangles | 3stpes_102 | 3steps_2 | |
1348 | [{"role": "user", "question": "A circular piece of paper is folded in half twice, resulting in crease lines AB and CD. AB and CD intersect at the center of the circle. If the paper is cut along AB and CD, what is the central angle of each resulting sector?", "hint": "", "options": {"A": "90°", "B": "60°", "C": "45°", "... | A | mcq | Folding Problems of Figures | 3stpes_103 | 3steps_2 | |
1349 | [{"role": "user", "question": "A rectangular piece of paper is folded twice (as shown in the figure), with OG=OH and OE=OF. Now, cut along the two fold lines EF and HG. After cutting, the perimeter of the four resulting shapes increases by 36π compared to the original. Given that AEFB is a square, what are the lengths ... | B | mcq | Division of Plane Figures | 3stpes_104 | 3steps_2 | |
135 | [{"role": "user", "question": "As shown in the diagram, which of the following line segments is perpendicular to AB? ", "hint": "", "options": {"A": "AB", "B": "AC", "C": "AD", "D": "No correct answer"}, "choices": []}] | B | mcq | perpendicularity | 2steps_135 | 2steps_1 | |
1350 | [{"role": "user", "question": "As shown in the figure, there is a circle. AB and DC intersect at the center of the circle. After being divided along AB and CD, the circumference increases by 40 cm compared to the original. What was the circumference of the circle before being divided? ( ) cm", "hint": "", "options": {"... | B | mcq | Division of Plane Figures | 3stpes_105 | 3steps_2 | |
1351 | [{"role": "user", "question": "As shown in the figure, a sector is drawn within a hexagon, and the central angle of this sector is 120°. What is the length of its arc in cm?", "hint": "", "options": {"A": "2π", "B": "3π", "C": "4π", "D": "5π", "E": "No correct answer"}, "choices": []}] | A | mcq | Understanding Sectors | 3stpes_106 | 3steps_2 | |
1352 | [{"role": "user", "question": "As shown in the figure, what is the perimeter of trapezoid ABCD in cm?", "hint": "", "options": {"A": "20", "B": "21", "C": "22", "D": "24", "E": "No correct answer"}, "choices": []}] | D | mcq | Perimeter of Trapezoids | 3stpes_107 | 3steps_2 | |
1353 | [{"role": "user", "question": "As shown in the figure, there is a circular iron sheet. The line segment AB, connecting two points on the circle, passes through the center of the circle. The shortest distance from A to B is 10 cm. What is the radius of the circular iron sheet in cm?", "hint": "", "options": {"A": "3", "... | B | mcq | Understanding Circles | 3stpes_108 | 3steps_2 | |
1354 | [{"role": "user", "question": "Given a parallelogram ABEC, triangle BCE is translated 3 cm to the left to form a new triangle ADC. What is the shape of figure ABED? What are the lengths of AD and CD?", "hint": "", "options": {"A": "Right trapezoid, 4 cm, 3 cm", "B": "Rectangle, 5 cm, 3 cm", "C": "Parallelogram, 4 cm, 3... | A | mcq | Translation | 3stpes_109 | 3steps_2 | |
1355 | [{"role": "user", "question": "The trapezoid ABCD shown in the figure is?", "hint": "", "options": {"A": "Right-angled trapezoid", "B": "Isosceles trapezoid", "C": "Irregular trapezoid", "D": "Cannot be determined", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Trapezoids | 3stpes_110 | 3steps_2 | |
1356 | [{"role": "user", "question": "As shown in the figure, AB is parallel to CF, BD is perpendicular to AB, and the distance between AB and CF is 30 cm. What is the area of parallelogram ABGF in cm²?", "hint": "", "options": {"A": "600", "B": "280", "C": "500", "D": "480", "E": "No correct answer"}, "choices": []}] | A | mcq | Properties and Understanding of Parallelograms | 3stpes_111 | 3steps_2 | |
1357 | [{"role": "user", "question": "As shown in the figure, if a trapezoidal piece of paper is cut to form the largest possible parallelogram, what are the base and height of the parallelogram in cm?", "hint": "", "options": {"A": "12, 3", "B": "16, 3", "C": "16, 4", "D": "12, 4", "E": "No correct answer"}, "choices": []}] | D | mcq | Division of Plane Figures | 3stpes_112 | 3steps_2 | |
1358 | [{"role": "user", "question": "As shown in the figure, the volume of this cubic container is () dm³.", "hint": "", "options": {"A": "6", "B": "8", "C": "10", "D": "12", "E": "No correct answer"}, "choices": []}] | B | mcq | Volume and Capacity of Cubes | 3stpes_113 | 3steps_2 |
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