CAT4 Spatial Ability 3

Question 1

A square sheet of paper is folded in half once, and one hole is punched through both layers. How many holes appear when the paper is unfolded?

Accepted Answer

2

Answer

Each punch goes through two layers, so one punch leaves two holes.

Question 2

A square sheet is folded in half, then folded in half again, and one hole is punched through all layers. How many holes appear when it is unfolded?

Accepted Answer

4

Answer

Two folds make four layers, so one punch makes four holes.

Question 3

A sheet is folded in half three times, and one hole is punched through every layer. How many holes appear after unfolding?

Accepted Answer

8

Answer

Three folds give 2 × 2 × 2 = 8 layers, so the paper has 8 holes.

Question 4

A sheet is folded along a vertical center line, and a hole is punched near the top of the folded paper. Where are the holes after unfolding?

Accepted Answer

Mirror images of each other across the vertical fold line

Answer

Unfolding reflects each hole across the fold line, so the holes are symmetric about it.

Question 5

A square sheet is folded corner to corner along one diagonal to make a triangle, and one hole is punched through both layers. How are the holes arranged after unfolding?

Accepted Answer

Symmetric about the diagonal fold

Answer

The diagonal was the fold line, so the two holes reflect across it.

CAT4 Practice Test

CAT4 Practice Test

CAT4 Spatial Ability 3