Mensa Spatial Reasoning 4

Question 1

A clock face is reflected in a mirror. The reflected clock appears to show 10:10. What is the actual time?

Accepted Answer

1:50

Answer

A clock reflection maps time T to 12:00 − T, so 12:00 − 10:10 = 1:50.

Question 2

An object casts a square shadow from above, a triangular shadow from the side, and a circular shadow from the front. What shape could the object be?

Accepted Answer

A cone with a square base

Answer

A square-based cone viewed from above is square, from the side is triangular, and from the front (tilted) can appear circular.

Question 3

In a sequence of figures, each step forms an n×n grid of dots where n matches the figure number. How many dots are in the 7th figure?

Accepted Answer

49

Answer

The 7th figure is a 7×7 grid, giving 7 × 7 = 49 dots.

Question 4

A 3D staircase block ascending left to right (3 steps) is viewed from the right side. What silhouette is seen?

Accepted Answer

A solid rectangle

Answer

The right side view of an ascending staircase shows a solid rectangle because the steps stack to fill the full height.

Question 5

A regular hexagon is divided by drawing lines from its center to each of the 6 vertices. How many equilateral triangles are created?

Accepted Answer

6

Answer

Drawing lines from the center to all 6 vertices of a regular hexagon creates exactly 6 equilateral triangles.

Mensa Practice Test