images images listlengths 1 1 | problem stringlengths 88 589 | answer stringclasses 5
values | problem_id stringlengths 8 10 |
|---|---|---|---|
<image>According to the diagram and the length information provided: OA = ( ) m, AB = ( ) m
A. 300, 400;B. 400, 300;C. 3000, 4000;D. 4000, 3000; E. No correct answer | C | 2steps_1 | |
<image>According to the diagram, observe the distances in the image, a = ( ) m, b = ( ) m, c = ( ) m.
A. 3, 5, 4; B. 3, 50, 40; C. 300, 50, 40; D. 30, 50, 40.; E. No correct answer | A | 2steps_2 | |
<image>As shown in the diagram, there are three cylindrical objects placed. The cylinder with a base diameter of 5 cm is:
A. Cylinder ①; B. Cylinder ②; C. Cylinder ③; D. Cannot be determined; E. No correct answer | A | 2steps_3 | |
<image>In the diagram, three rectangular cuboids are placed. The rectangular cuboid with a height of 1dm is:
A. rectangular cuboid ①; B. rectangular cuboid ②; C. rectangular cuboid ③; D. Cannot be determined; E. No correct answer | B | 2steps_4 | |
<image>As shown in the diagram, if the circumference of a circle is 6.28 cm, then the radius of the circle is ( ) cm.
A. 1 cm;B. 1.5 cm;C. 3.14 cm;D. 6.28 cm; E. No correct answer | A | 2steps_5 | |
<image>As shown in the diagram, if the diameter of the base of the cylinder is as shown, then the circumference of the base of the cylinder is ( )?
A. 10 cm;B. 15 cm;C. 31.4 cm;D. 62.8 cm.; E. No correct answer | C | 2steps_6 | |
<image>As shown in the diagram, there is a circle made of wire. What is the circumference of this circle?
A. 15π;B. 10π;C. 5π; D. No correct answer | B | 2steps_7 | |
<image>As shown in the diagram, the radius of the circular iron sheet is 5cm. Its circumference is ( )(π = 3.14)
A. 31.4;B. 3.14;C. 62.8;D. 40; E. No correct answer | A | 2steps_8 | |
<image>As shown in the diagram, the block to the right of H is ( ).
A. F; B. D; C. B; D. I; E. No correct answer | D | 2steps_9 | |
<image>Mike stands at point A facing a tree and moves to the right to reach which point?
A. B; B. C; C. D; D. E; E. No correct answer | D | 2steps_10 | |
<image>In the diagram, the block to the right of block D is ( )
A. A; B. B; C. C; D. E; E. No correct answer | D | 2steps_11 | |
<image>As shown in the diagram, in a building, it is known that A lives to the left of B. Who lives to the left of E?
A. D; B. B; C. F; D. H; E. No correct answer | A | 2steps_12 | |
<image>As shown in the diagram, B is on the ( ) side of A.
A. Left; B. Right; C. Cannot be determined.; D. No correct answer | B | 2steps_13 | |
<image>As shown in the diagram, A, B, C, D are four cubes. From the front view, the object to the right of A is ( )
A. A;B. B;C. C;D. D; E. No correct answer | C | 2steps_14 | |
<image>As shown in the diagram, color the square to the left of square A in the cube. The correctly colored cube is ( ).
A. ①; B. ②; C. Cannot be determined; D. No correct answer | A | 2steps_15 | |
<image>As shown in the leftmost diagram, if you subtract 1 from the number to the right of the '3' square, the result is:
A. ①; B. ②; C. ③; D. Cannot be determined; E. No correct answer | A | 2steps_16 | |
<image>As shown in the diagram, in a building, it is known that A lives to the left of B. Who lives below D?
A. A; B. E; C. F; D. G; E. No correct answer | D | 2steps_17 | |
<image>In the diagram, the block below block C is ( )
A. A; B. B; C. D; D. F; E. No correct answer | C | 2steps_18 | |
<image>In the diagram, the block above block D is ( )
A. A; B. B; C. C; D. E; E. No correct answer | B | 2steps_19 | |
<image>As shown in the diagram, color the square above the square labeled A on the left cube. The correctly colored cube is ( )
A. ①; B. ②; C. Cannot be determined; D. No correct answer | A | 2steps_20 | |
<image>As shown in the diagram, there is a group of cuboids stacked together. Which cuboid is at the very bottom?
A. Cuboid ①;B. Cuboid ②;C. Cuboid ③;D. Cuboid ④; E. No correct answer | D | 2steps_21 | |
<image>As shown in the diagram, everyone is facing the blackboard in the classroom. The person in front of F is ( )
A. E;B. I;C. C; D. No correct answer | C | 2steps_22 | |
<image>Mike is facing the school. If he wants to go to the school, which direction should he walk?
A. Walk forward; B. Walk backward; C. Cannot determine; D. No correct answer | A | 2steps_23 | |
<image>As shown in the diagram, the desk in front of Lucy is ( )?
A. Desk ①; B. Desk ②; C. Cannot be determined; D. No correct answer | A | 2steps_24 | |
<image>As shown in the diagram, the desk in front of Lucy is ( )?
A. Desk ①; B. Desk ②; C. Cannot be determined; D. No correct answer | B | 2steps_25 | |
<image>As shown in the diagram, the object in front of Lucy is ( )?
A. Object ①; B. Object ②; C. Cannot be determined; D. No correct answer | B | 2steps_26 | |
<image>As shown in the diagram, Lucy is standing on the far right side looking to the left. From Lucy's perspective, which object is in the frontmost?
A. Object ①; B. Object ②; C. Object ③; D. Cannot be determined; E. No correct answer | A | 2steps_27 | |
<image>As shown in the picture, this is a scene of a student in the classroom. Which blackboard at the front of the classroom is being referred to?
A. Blackboard ①; B. Blackboard ②; C. Cannot be determined; D. No correct answer | A | 2steps_28 | |
<image>As shown in the diagram, point A is located on a grid. If point B can be represented by (1, 2), then point A can be represented by which pair of numbers?
A. (4, 5);B. (7, 2);C. (2, 2);D. (4, 4); E. No correct answer | A | 2steps_29 | |
<image>In the diagram, the position of point A is represented by which coordinate pair?
A. (5, 1); B. (1, 5); C. (6, 1); D. (1, 6); E. No correct answer | B | 2steps_30 | |
<image>As shown in the diagram, △ABC is on grid paper, and vertex A can be represented by the coordinate pair (3, 2). What is the coordinate pair representing the position of point B?
A. (3, 4); B. (3, 5); C. (3, 6); D. (5, 4); E. No correct answer | B | 2steps_31 | |
<image>As shown in the diagram, vertex B of triangle ABC is represented by the coordinate pair (1, 1). The line l in the diagram is located at which column?
A. Fifth column; B. Fourth column; C. Third column; D. First column; E. No correct answer | A | 2steps_32 | |
<image>In the diagram, the position of point A is represented by which coordinate pair?
A. (5, 2);B. (6, 3);C. (5, 4);D. (5, 3); E. No correct answer | D | 2steps_33 | |
<image>As shown in the diagram, the point (1, 4) is which point?
A. A1;B. A2;C. A3;D. A4; E. No correct answer | B | 2steps_34 | |
<image>As shown in the diagram, the point (5, 0) is which point?
A. Point A; B. Point C; C. Point D; D. Point E; E. No correct answer | B | 2steps_35 | |
<image>In the diagram, the point (2, 2) corresponds to which point in the figure?
A. Point C; B. Point B; C. Point D; D. Cannot be determined; E. No correct answer | B | 2steps_36 | |
<image>In the diagram, the point represented by the coordinate pair (2, 1) is ()
A. Point P; B. Point G; C. Point O; D. Point F; E. No correct answer | C | 2steps_37 | |
<image>As shown in the diagram, an elephant is located at (4,3), which corresponds to which point in the diagram?
A. Uncertain; B. B; C. C; D. D; E. No correct answer | C | 2steps_38 | |
<image>As shown in the diagram, the point with coordinates (1, 1) is point ()
A. A; B. B; C. C; D. No correct answer | A | 2steps_39 | |
<image>As shown in the diagram, the point represented by the ordered pair (1, 1) is ()
A. Point A; B. Point B; C. Point C; D. Point D; E. No correct answer | A | 2steps_40 | |
<image>As shown in the diagram, the line segment passing through (0,3) is ()
A. Indeterminate; B. ①②; C. ③; D. ④; E. No correct answer | B | 2steps_41 | |
<image>As shown in the diagram, the lines or line segments passing through point (3,3) include which of the following?
A. ④⑤; B. ①②⑤; C. ①②③; D. ①②④; E. No correct answer | A | 2steps_42 | |
<image>As shown in the diagram, B is located 40° north by east of A, and C is located 60° south by east of B. What are the measures of ∠2 and ∠3?
A. 40°, 90°;B. 40°, 60°;C. 40°, 50°;D. 40°, 50°; E. No correct answer | B | 2steps_43 | |
<image>From the diagram, the bookstore is in the ( ) direction from the school.
A. east by north; B. north by west; C. west by south; D. north; E. No correct answer | A | 2steps_44 | |
<image>As shown in the diagram, A is directly south of B, and C is directly west of A. What is the measure of ∠BAC?
A. 30°; B. 60°; C. 75°; D. 90°; E. No correct answer | D | 2steps_45 | |
<image>As shown in the diagram, Mike starts from point B, first goes directly north from B, then directly east from B, and finally returns to point B. The shape formed by the path he walks is ( ).
A. Triangle; B. Parallelogram; C. Square; D. Trapezoid; E. No correct answer | A | 2steps_46 | |
<image>In the diagram, the point south of point E is point ( ).
A. A; B. E; C. C; D. G; E. No correct answer | D | 2steps_47 | |
<image>To get from point A to point B, in which direction should you go?
A. Northeast;B. North-South;C. Northwest;D. North; E. No correct answer | A | 2steps_48 | |
<image>To walk from the zoo to the school, you should head ( ).
A. Northeast; B. Southeast; C. Northwest; D. Southwest; E. No correct answer | B | 2steps_49 | |
<image>Given that point A is located to the southeast of point B, and point C is located to the southwest of point A, what is the measure of angle BAC?
A. 30°; B. 60°; C. 75°; D. 90°; E. No correct answer | D | 2steps_50 | |
<image>As shown in the diagram, the southeast direction from point E is point ( )
A. A; B. B; C. C; D. D; E. No correct answer | D | 2steps_51 | |
<image>The figure below shows a rectangle paper, after folding the left side, ∠2 ( ) ∠3.
A. >;B. =;C. <; D. No correct answer | B | 2steps_52 | |
<image>As shown in the diagram, a square card with a side length of 6 cm is folded in half. What are the length and width of the resulting rectangle in cm?
A. 6-6; B. 3-3; C. 6-3; D. No correct answer | C | 2steps_53 | |
<image>As shown in the diagram, when a rectangular piece of paper is folded as illustrated, angles ∠1 and ∠2 are equal. What is the relationship between ∠1, ∠2, and ∠3?
A. ∠1 = ∠2 < ∠3;B. ∠1 < ∠2 < ∠3;C. ∠1 = ∠2 = ∠3; D. No correct answer | C | 2steps_54 | |
<image>The figure below shows a rectangle folded. ∠2 is ( )
A. 35°;B. 65°;C. 50°; D. No correct answer | B | 2steps_55 | |
<image>As shown in the diagram, a triangle is folded along the two dashed lines shown, and both folds result in the sides along the crease completely overlapping. This indicates that:
A. All three sides of the triangle are equal.; B. Only two sides of the triangle are equal.; C. Neither of the above is correct.; D. No correct answer | A | 2steps_56 | |
<image>As shown in the diagram, if angle A of the rectangle is folded along ED, then AE equals ( ) cm.
A. 3 cm;B. 2 cm;C. 1 cm;D. 4 cm.; E. No correct answer | A | 2steps_57 | |
<image>According to the diagram, observe the shapes in the grid below. Which shape cannot tile the plane around the pentagram?
A. Circle ;B. Square ;C. Cannot be determined ; D. No correct answer | A | 2steps_58 | |
<image>According to the diagram, which of the following three shapes can tile a plane without gaps or overlaps?
A. ①;B．②;C. ③; D. Cannot be determined; E. No correct answer | A | 2steps_59 | |
<image>According to the diagram, which of the following three shapes cannot tile a plane?
A. ① ; B. ② ; C. ③ ; D. Cannot be determined ; E. No correct answer | C | 2steps_60 | |
<image>As shown in the diagram, among the following plane figures, which one can tile a plane without gaps or overlaps?
A. ① ; B. ② ; C. ③ ; D. Cannot be determined ; E. No correct answer | B | 2steps_61 | |
<image>As shown in the diagram, among the following plane figures, which one can tile a plane without gaps or overlaps?
A. ① ; B. ② ; C. ③ ; D. Cannot be determined ; E. No correct answer | A | 2steps_62 | |
<image>Assemble the shapes below into a rectangle. What are the length and width of the resulting rectangle?
A. 12, 4;B. 12, 8;C. 8, 4; D. No correct answer | A | 2steps_63 | |
<image>As shown in the diagram, there are two square stamps issued in the Year of the Rabbit, each with a side length of 3 cm. If these two stamps are combined side by side, the length and width of the resulting rectangle are respectively ( ) cm.
A. 9, 3; B. 3, 3; C. 6, 3; D. No correct answer | C | 2steps_64 | |
<image>As shown in the diagram, two right triangles can be combined to form either a rectangle or a parallelogram. Using the side of length ( ) cm as the common side for joining, the perimeter of the resulting shape is maximized.
A. 4 ; B. 3 ; C. 5 ; D. No correct answer | B | 2steps_65 | |
<image>The figure below is composed of two rectangles, each with a length of 6 cm and a width of 2 cm. What are the length and width (a, b) of the shaded part A?
A. 4 cm, 6 cm; B. 4 cm, 8 cm; C. 4 cm, 2 cm; D. No correct answer | C | 2steps_66 | |
<image>As shown in the diagram, it is known that the quadrilateral ABEF is formed by joining two trapezoids ABCD. Compared to the original figures, the total perimeter decreased by 20 cm. What is the length of CD?
A. 5 cm;B. 10 cm;C. 12 cm;D. 20 cm; E. No correct answer | B | 2steps_67 | |
<image>As shown in the diagram, the quadrilateral AFGE is composed of four identical small squares. If the total perimeter is reduced by 40 cm, then the side length of each small square is ( ) cm.
A. 5; B. 10; C. 12; D. 20; E. No correct answer | A | 2steps_68 | |
<image>As shown in the diagram, the quadrilateral ABHG is composed of three identical right-angled trapezoids. If the total perimeter is reduced by 40 cm, then AB+CD equals ( ) cm.
A. 5;B. 10;C. 12;D. 20; E. No correct answer | D | 2steps_69 | |
<image>As shown in the diagram, two small rectangles are joined to form a larger rectangle. Compared to the original shapes, the perimeter has decreased by 20 cm. What is the width of the rectangle in cm?
A. 10; B. 1; C. 0.1; D. 20; E. No correct answer | A | 2steps_70 | |
<image>From the rectangle shown in the diagram, a largest possible square is cut out. What is the side length of the square in cm?
A. 16;B. 21;C. 32; D. No correct answer | B | 2steps_71 | |
<image>As shown in the diagram, after cutting a triangle from another triangle, what is the resulting shape?
A. Triangle;B. Trapezoid;C. Parallelogram; D. No correct answer | B | 2steps_72 | |
<image>A rectangle is cut into two identical squares (as shown in the diagram). The combined perimeter of these two squares is 6 cm more than the perimeter of the original rectangle. What is the side length of each square (in cm)?
A. 4; B. 3; C. 6; D. 2; E. No correct answer | B | 2steps_73 | |
<image>A rectangular piece of paper is 8 cm long and 5 cm wide. After cutting out the largest possible square from it, the dimensions of the remaining figure are ( ) cm.
A. 5, 3; B. 5, 5; C. 3, 3; D. No correct answer | A | 2steps_74 | |
<image>As shown in the diagram, there is a circular cake with a radius of 5 cm, which is divided into four parts. Compared to the original circumference of the cake, the additional edge length is ( )
A. 4AB+4CD; B. AB+CD; C. 2AB+2CD; D. No correct answer | C | 2steps_75 | |
<image>As shown in the diagram, there is a rectangular cake measuring 5cm in length and 3cm in width. If it is divided into four parts along lines EF and GH, the total length of the additional edge length compared to the original perimeter of the cake can be equivalent to which of the following?
A. 4HG + 4EF; B. 2HG + 2EF; C. HG + EF; D. No correct answer | B | 2steps_76 | |
<image>As shown in the diagram, there is a sector-shaped cake with a radius of 5 cm. It is intended to be cut into four parts along OA, OB, and OC. Compared to the original circumference of the cake, the total length of the new edges can be equivalent to the length of ( ).
A. 3OB+3OC+3OD; B. 2OB+2OC+2OD; C. OB+OC+OD; D. 4OB+4OC+4OD; E. No correct answer | B | 2steps_77 | |
<image>There is a rectangular cake, now divided into four parts along EF and GH. Compared to the original perimeter of the cake, the added edge length is 20cm. This 20cm is equivalent to the length of:
A. 3EF + 3HG;B. 2HG + 2EF;C. EF + HG;D. 4EF + 4HG; E. No correct answer | B | 2steps_78 | |
<image>As shown in the diagram, there is a circular cake, which is now cut into four parts along AB and CD. Compared to the original circumference of the cake, the new edge length added is 40cm. This 40cm is equivalent to the length of ( )?
A. 4AB+4CD;B. AB+CD;C. 2AB+2CD; D. No correct answer | C | 2steps_79 | |
<image>As shown in the diagram, there is a triangular cake with BC = 10 cm. Now, it is cut into two parts along AD, adding 10 cm to the original perimeter of the cake. This additional 10 cm is equivalent to the length of ( )?
A. 4AD;B. AD;C. 2AD; D. No correct answer | C | 2steps_80 | |
<image>As shown in the diagram, the two shapes obtained by dividing the figure along the dashed line are ( ) and ( ).
A. Rectangle, Triangle; B. Trapezoid, Triangle; C. Square, Triangle; D. Trapezoid, Trapezoid; E. No correct answer | B | 2steps_81 | |
<image>A cylindrical piece of wood with a height of 5 dm is cut vertically along the diameter of the base into two parts (as shown in the diagram). As a result, the surface area increases by 60 square decimeters. What is the value of d? (d = ____ dm)
A. 6; B. 4; C. 5; D. No correct answer | A | 2steps_82 | |
<image>As shown in the diagram, after a rectangular cuboid is cut into 4 smaller rectangular cuboids, the surface area increases by 30 square decimeters. This increase corresponds to the area of () faces.
A. 5;B. 6;C. 7;D. 8; E. No correct answer | B | 2steps_83 | |
<image>If the rectangular block of wood shown in the diagram is sawed into two cubes, the increase in surface area is equivalent to the surface area of ( ) small squares.
A. 2;B. 3;C. 4; D. No correct answer | A | 2steps_84 | |
<image>As shown in the diagram, a rectangular cuboid is formed by combining 6 small cubes. After combining, its surface area is reduced by 90 square centimeters, which means it is reduced by ( ) faces.
A. 9;B. 5;C. 10; D. No correct answer | C | 2steps_85 | |
<image>A cube with a surface area of 90 cm² is cut twice (as shown in the diagram), dividing it into several smaller rectangular solids. The surface area increased by the area of ( ) small squares.
A. 4;B. 5;C. 3; D. No correct answer | A | 2steps_86 | |
<image>Cut a rectangular cuboid (as shown in the diagram) into the largest possible cube. If a > b > h, then the edge length of this cube is ()
A. a;B. b;C. h; D. No correct answer | C | 2steps_87 | |
<image>From a cuboid, if you cut out the largest possible cube, then the edge length of this cube is ( ) cm.
A. 4;B. 8;C. 6; D. No correct answer | A | 2steps_88 | |
<image>A rectangular cuboid with a length of 20 cm is cut into two sections along the cross-section shown in the diagram, resulting in an increase of 40 square cm in surface area. What is the area of the base of the rectangular cuboid?
A. 160 square cm;B. 80 square cm;C. 40 square cm;D. 20 square cm; E. No correct answer | D | 2steps_89 | |
<image>As shown in the diagram, a rectangular block with a length of 4 cm, a width of 2 cm, and a height of 3 cm is cut into two smaller rectangular blocks. There are three different ways to cut it, labeled as ①, ②, and ③. Among these three cutting methods, the one that results in the greatest increase in the surface area of the shapes after cutting is ( ).
A. ①;B. ②;C. ③; D. No correct answer | B | 2steps_90 | |
<image>The figure below shows a rectangular cuboid. If it is cut into two identical rectangular cuboids, which line should it be cut along to increase the surface area more significantly?
A. Solid line; B. Dotted line; C. Cannot be determined; D. No correct answer | B | 2steps_91 | |
<image>As shown in the diagram, four identical small cylinders are combined to form a larger cylinder with a length of 40 cm. By how many cylinder cross-sectional areas has the surface area decreased?
A. 2; B. 3; C. 6; D. 9; E. No correct answer | C | 2steps_92 | |
<image>As shown in the diagram, if a cylindrical object is cut in half parallel to its base, the surface area increases by 20cm² compared to the original cylinder. What is the area of the base of the cylinder?
A. 10cm²; B. 20cm²; C. 30cm²; D. No correct answer | A | 2steps_93 | |
<image>Can the shaded area A in the diagram be rotated around point O to form a torus with shaded area B?
A. Yes, A needs to be rotated 90 degrees clockwise around point ;O.;B. Yes, A needs to be rotated 45 degrees counterclockwise around point ;O.;C. No.; F. No correct answer | A | 2steps_94 | |
<image>As shown in the diagram, diagram ① is transformed into diagram ② by:
A. Rotating 90° counterclockwise around point P; B. Rotating 90° clockwise around point Q; C. Rotating 90° counterclockwise around point Q; D. No correct answer | C | 2steps_95 | |
<image>As shown in the diagram, by rotating around the endpoint O, how can shape A be transformed into shape B?
A. Rotate 90° clockwise; B. Rotate 90° counterclockwise; C. Rotate 45° counterclockwise; D. Rotate 45° clockwise; E. No correct answer | B | 2steps_96 | |
<image>As shown in the diagram, shape B is shape A rotated 90° around point O ( ).
A. Clockwise ; B. Counterclockwise ; C. Cannot be determined ; D. No correct answer | B | 2steps_97 | |
<image>As shown in the diagram, figure 2 can be considered as obtained from figure 3 by ( ).
A. Rotating 90° counterclockwise around point O; B. Rotating 90° clockwise around point O; C. Moving two squares to the right from figure 3.; D. No correct answer | B | 2steps_98 | |
<image>(As shown in the diagram) If point C is moved one grid to the left, the resulting point is ( )
A. E; B. F; C. G; D. No correct answer | A | 2steps_99 | |
<image>In the diagram below, both squares have a side length of 5dm. Can the shaded area A be translated to form a square with the shaded area in the diagram?
A. Yes, A needs to be translated 5dm to the right.; B. Yes, A needs to be translated 5dm to the left.; C. No.; D. No correct answer | A | 2steps_100 |
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