Mensa IQ Test Mensa IQ Cube, Dice and Paper Folding 4

Question 1

A cube net is shaped like a plus sign (+): one center square with one square on each of its four sides, and one additional square attached to the bottom extension. Which of the following is true?

Accepted Answer

The top extension and bottom extension squares are opposite faces

Answer

The center square and the extra bottom square are opposite faces

Answer

The left and right extension squares are opposite faces

Answer

All four extensions are on the same face

Question 2

A die shows 1 on top, 2 on front, and 3 on the right. Is this a valid standard (right-handed) die orientation?

Accepted Answer

No — standard dice have 1, 2, 3 meeting at a vertex going counterclockwise

Answer

Yes — any three faces can appear this way

Answer

No — 1, 2, 3 cannot share a vertex

Answer

Yes — but only if 4, 5, 6 are on the opposite faces

Question 3

Three unit cubes are glued in an L-shape: two in a row and one on top of the first. How many unit square faces are exposed on the outside of this solid?

Accepted Answer

14

Answer

12

Answer

8

Question 4

A square paper is folded along the vertical center, then the top-right corner of the folded paper is folded down to touch the bottom edge. A hole is punched through all layers at the new folded corner tip. How many holes appear when fully unfolded?

Accepted Answer

4

Answer

2

Answer

3

Answer

1

Question 5

A 3×3×3 cube is dipped in paint (all outer faces painted), then the top layer of 9 unit cubes is removed. How many of those 9 removed unit cubes have exactly 2 painted faces?

Accepted Answer

4

Answer

8

Answer

1

Answer

0

Question 6

If a die is placed with 4 on top and rolled north, then east, then south, what number is on top after all three moves?

Accepted Answer

4

Answer

6

Answer

1

Answer

3

Question 7

A cube net consists of a row of 4 squares (positions 1–4 left to right) with one square below position 2 and one square above position 3. When folded, which square is opposite position 1?

Accepted Answer

Position 4

Answer

Position below 2

Answer

Position above 3

Answer

Position 3