GMA Spatial Reasoning 2

Question 1

A cube has been unfolded into a cross-shaped net with 6 squares. When re-folded, which pair of faces will be directly opposite each other?

Accepted Answer

All three pairs: top/bottom, front/back, left/right

Answer

A cube always has exactly three pairs of opposite faces: top/bottom, front/back, and left/right. All six faces pair up into these three opposite pairs.

Question 2

Looking at a 3D object from above, you see a circle. From the front, you see a rectangle. What is the most likely 3D shape?

Accepted Answer

Cylinder

Answer

A cylinder viewed from above appears as a circle (the circular top face), and from the front appears as a rectangle (the curved side surface viewed straight on).

Question 3

A rectangular piece of paper is folded in half twice (first horizontally, then vertically) and a hole is punched through all layers. How many holes appear when the paper is fully unfolded?

Accepted Answer

4

Answer

Each fold doubles the number of layers. Folding twice creates 4 layers, so one punch creates 4 holes when unfolded.

Question 4

A 3×3×3 cube is assembled from 27 unit cubes. The entire outer surface is painted red. How many unit cubes have exactly 2 red faces?

Accepted Answer

12

Answer

Unit cubes with exactly 2 red faces are the edge cubes (not corners). A 3×3×3 cube has 12 edges, each contributing one non-corner unit cube — giving 12 cubes with exactly 2 painted faces.

Question 5

You are facing north. You turn 90° clockwise, then 180° anticlockwise. Which direction are you now facing?

Accepted Answer

West

Answer

Start: North. Turn 90° clockwise → East. Turn 180° anticlockwise from East → West.

(GMA) General Mental Ability Practice Test

(GMA) General Mental Ability Practice Test

GMA Spatial Reasoning 2