Mensa IQ Spatial and Abstract Reasoning Questions and Answers Flashcards

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

Answer: 12

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

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

Answer: 162

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

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?

Answer: 4

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

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

Answer: □

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

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

Answer: 157.5°

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

Which figure is the odd one out? A pentagon with 5 equal sides, a hexagon with 6 equal sides, a square with 4 equal sides, a triangle with 3 equal sides, a circle.

Answer: Circle

A circle has no straight sides or vertices, making it the only non-polygon in the set.

A 3D shape has 6 faces, 12 edges, and 8 vertices. What shape is it?

Answer: Cube

A cube (and any cuboid) has exactly 6 faces, 12 edges, and 8 vertices per Euler's formula.