Basic Ability Spatial Reasoning and Visualization Questions and Answers

Question 1

An isometric view of an object made of stacked cubes is shown.
An arrow indicates the direction of sight for the right-side view.
Which of the following options correctly represents the right-side view of the object? [Image of a 3D object made of cubes.
It has a base of 3x2 cubes.
A tower of two additional cubes sits on the back-left corner, and a single cube sits on the front-right corner.
An arrow points from the right towards the object.]

Accepted Answer

[Image of a 2x1 vertical rectangle on the left, and a 1x1 square on the right, separated by a gap. The left rectangle is taller.]

Answer

[Image of a 2x2 square grid, with the top-left and bottom-right squares shaded]

Answer

[Image of a 3x2 grid, with the back-left and front-right squares shaded differently to indicate height]

Answer

[Image of a 3-block 'L' shape]

Question 2

A cube with unique symbols on its faces is shown. Which of the following 2D nets can be folded to form the cube shown? [Image of a cube showing three faces: a solid circle on top, a hollow square to the front, and a solid triangle on the right side pointing towards the square.]

Accepted Answer

[Image of a net where the circle is above the square, and the triangle is to the right of the square, pointing towards it.]

Answer

[Image of a net where the circle and square are adjacent, but the triangle is on the opposite end of the net.]

Answer

[Image of a net where the circle and triangle are adjacent, which is not possible.]

Answer

[Image of a net where the triangle, when folded, would point away from the square.]

Question 3

Which of the following figures is the 'odd one out' based on a rule of spatial transformation? [Image displays four complex geometric shapes labeled A, B, C, and D. Shape A is the base shape. Shape B is a 90-degree clockwise rotation of A. Shape C is a mirror image (horizontal reflection) of A. Shape D is a 180-degree rotation of A.]

Accepted Answer

Figure C

Answer

Figure A

Answer

Figure B

Answer

Figure D

Question 4

A sequence of images shows a square piece of paper being folded, and then a hole is punched through it. First, the paper is folded in half horizontally (top to bottom). Second, it is folded in half vertically (right to left). Finally, a single circular hole is punched in the center of the resulting smaller square. Which option shows the pattern of holes when the paper is fully unfolded?

Accepted Answer

[Image of an unfolded square with four holes arranged in a 2x2 square pattern in the center.]

Answer

[Image of an unfolded square with two holes in the vertical center.]

Answer

[Image of an unfolded square with two holes in the horizontal center.]

Answer

[Image of an unfolded square with a single hole in the center.]

Question 5

An image displays three separate geometric pieces. Which of the answer choices can be formed by fitting these three pieces together perfectly without any overlap or rotation? [Image shows three pieces: a large right-angled isosceles triangle, and two smaller, identical right-angled isosceles triangles whose hypotenuses are the same length as the shorter sides of the large triangle.]

Accepted Answer

[Image of a perfect rectangle.]

Answer

[Image of a perfect hexagon.]

Answer

[Image of a parallelogram.]

Answer

[Image of an irregular pentagon.]

Question 6

A 3D L-shaped block is shown. If this block is rotated 90 degrees clockwise around the vertical axis (the y-axis), what will it look like from the same viewpoint? [Image of an L-shaped block standing upright. The 'base' of the L extends to the right, and the 'back' of the L extends away from the viewer.]

Accepted Answer

[Image of the L-shape, but now the 'base' extends towards the viewer and the 'back' extends to the right.]

Answer

[Image of the L-shape, but now the 'base' extends away from the viewer and the 'back' extends to the left.]

Answer

[Image of the L-shape, but it appears as a simple vertical bar because it's viewed edge-on.]

Answer

[Image of the L-shape, but now the 'base' extends to the left and the 'back' extends towards the viewer.]