Mensa Mensa IQ Spatial and Abstract Reasoning Questions and Answers 3

Question 1

A cube is painted red on all faces, then cut into 27 equal smaller cubes. How many small cubes have exactly 2 red faces?

Accepted Answer

12

Answer

Edge cubes (not corner) have exactly 2 painted faces; a 3×3×3 cube has 12 such edges.

Question 2

Which number replaces the question mark? 2, 6, 18, 54, ?

Accepted Answer

162

Answer

Each term is multiplied by 3: 54 × 3 = 162.

Question 3

A square sheet of paper is folded in half diagonally, then folded in half again. A hole is punched through all layers at the center. How many holes appear when fully unfolded?

Accepted Answer

4

Answer

Each diagonal fold doubles the hole count, so two folds produce 4 holes.

Question 4

In the sequence: △○□△○□△○?, what shape comes next?

Accepted Answer

□

Answer

The repeating pattern is triangle, circle, square, and the next position is the third in that cycle.

Question 5

If a clock shows 3:45, what is the angle between the hour and minute hands?

Accepted Answer

157.5°

Answer

Hour hand is at 112.5° and minute hand is at 270°, giving a difference of 157.5°.

Mensa Practice Test

Mensa Practice Test

Mensa Mensa IQ Spatial and Abstract Reasoning Questions and Answers 3