FREE GMA Spatial Reasoning Questions and Answers

Question 1

A flat pattern is shown, which can be folded into a cube. Which of the options represents a possible view of the folded cube? The pattern is: Top face is a circle. Middle row from left to right: square, star, triangle. Bottom face (below the star) is a plus sign.

Accepted Answer

A cube showing the star on the front, the triangle on the right, and the circle on top.

Answer

When the net is folded, the star is the front face. The square is on the left, the triangle is on the right, the circle is on top, and the plus sign is on the bottom. The only option that correctly shows the relative positions of the star (front), triangle (right), and circle (top) is the correct one.

Question 2

Which of the options is a rotation of the 3D figure shown? The figure is an 'L' shape made of four cubes, with a fifth cube attached to the top of the corner cube.

Accepted Answer

The original figure rotated 90 degrees clockwise on its vertical axis.

Answer

The correct answer is the only figure that maintains the exact same structure and arrangement of cubes as the original, merely viewed from a different angle. The incorrect options are either mirror images or have cubes moved to different positions, altering the fundamental shape.

Question 3

Given the unfolded cube pattern, which cube could be formed? The pattern has a horizontal row of four faces (2, 3, 4, 5), with face 1 above face 3, and face 6 below face 3.

Accepted Answer

A cube showing faces 1, 2, and 3.

Answer

In this T-shaped net, face 3 is central. Faces 2 and 4 are opposite, faces 1 and 6 are opposite, and faces 3 and 5 are opposite. The correct option shows three faces (1, 2, 3) that can all be adjacent to each other when folded.

Question 4

Which of the options is a simple rotation of the main figure? The figure consists of a 2x2 base of cubes with one cube removed from a corner, and a single cube placed on top of the cube diagonal to the empty space.

Accepted Answer

The figure rotated 180 degrees around the vertical axis.

Answer

The correct answer is the only option that preserves the spatial relationship between all the component cubes. It is the same object, just turned in space. The other options alter the structure, for example, by moving the top cube or creating a mirror image.

Question 5

A cube net has the following faces: Top: horizontal stripes. Middle row: dots, solid black, checkerboard. Bottom: vertical stripes. Which is a valid folded cube?

Accepted Answer

A cube showing the solid black front, checkerboard right, and horizontal stripes top.

Answer

When folded, the solid black face can be the front. This places the dots on the left, the checkerboard on the right, and the horizontal stripes on top. The orientation of the stripes is crucial; they must remain horizontal relative to the upright solid face.

(GMA) General Mental Ability Practice Test

(GMA) General Mental Ability Practice Test

FREE GMA Spatial Reasoning Questions and Answers