RCAT Spatial Reasoning 3

Question 1

You are facing north. You turn 90° right, then 180°, then 45° left. What direction are you now facing?

Accepted Answer

South-east

Answer

North → East (90° right) → West (180°) → South-west (45° left) — actually: East+180°=West; West−45°=South-west.

Question 2

A shape has 4 lines of symmetry. What could it be?

Accepted Answer

Square

Answer

A square has 4 lines of symmetry: 2 through opposite sides and 2 through opposite corners.

Question 3

When a 3D pyramid with a square base is cut horizontally midway, what is the cross-section?

Accepted Answer

Smaller square

Answer

A horizontal cut parallel to the base of a square pyramid produces a smaller square cross-section.

Question 4

An object casts a circular shadow when light shines from directly above and a rectangular shadow when light shines from the side. What is the object?

Accepted Answer

Cylinder

Answer

A cylinder produces a circular shadow from above and a rectangular shadow from the side.

Question 5

A piece of square paper is folded in half diagonally to form a triangle, then folded in half again. What fraction of the original area does the final shape represent?

Accepted Answer

1/4

Answer

Each fold halves the visible area: fold 1 = 1/2, fold 2 = 1/4.

RCAT - Revelian Cognitive Ability Test Practice Test

RCAT - Revelian Cognitive Ability Test Practice Test

RCAT Spatial Reasoning 3