Mensa IQ Test Spatial Reasoning 3

Question 1

How many triangles are in a figure made of a large triangle divided into 4 equal smaller triangles?

Accepted Answer

5

Answer

There are 4 small triangles plus the 1 large outer triangle = 5 triangles total.

Question 2

If a paper is folded in half twice and then a hole is punched through all layers, how many holes appear when unfolded?

Accepted Answer

4

Answer

Folding in half twice creates 4 layers. One punch through all 4 layers creates 4 holes when unfolded.

Question 3

A solid cube is painted red on all sides and cut into 27 equal smaller cubes. How many smaller cubes have exactly 2 painted faces?

Accepted Answer

12

Answer

Edge cubes (not corners) have exactly 2 painted faces. A 3×3×3 cube has 12 edges, each contributing 1 such cube = 12.

Question 4

What is the minimum number of straight cuts needed to divide a circle into 8 equal pieces?

Accepted Answer

4

Answer

Each straight cut through the center adds 2 equal sectors. 1 cut = 2 pieces, 2 cuts = 4 pieces, 3 cuts = 6 pieces, 4 cuts = 8 pieces.

Question 5

Which shape has exactly 4-fold rotational symmetry?

Accepted Answer

Square

Answer

A square looks identical after rotations of 90°, 180°, 270°, and 360° — that is 4-fold rotational symmetry.

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