Mensa IQ Test Mensa IQ Cube, Dice and Paper Folding 6

Question 1

In a standard die, the number 1 is opposite 6, 2 is opposite 5, and 3 is opposite 4. A die shows 5 on top. The sum of the five visible faces (top + four sides) is:

Accepted Answer

15

Answer

14

Answer

16

Answer

20

Question 2

A square paper is folded so the bottom-left corner touches the top-right corner (diagonal fold). A hole is punched in the top-left corner of the folded triangle. When unfolded, how many holes are there and where?

Accepted Answer

2 holes — one at top-left and one at bottom-right of the paper

Answer

1 hole at top-left

Answer

2 holes — at top-right and bottom-left

Answer

4 holes — one in each corner

Question 3

How many unit cubes in a 4×4×4 cube have exactly 1 painted face (assuming all outer surfaces are painted)?

Accepted Answer

24

Answer

16

Answer

8

Answer

32

Question 4

A die is standing with 3 facing up and 6 facing the observer. It rolls once to the right (eastward tilt 90°). What now faces the observer?

Accepted Answer

6

Answer

2

Answer

5

Answer

1

Question 5

A net consists of 2 rows of 3 squares (2×3 grid). Which statement is true?

Accepted Answer

This net cannot fold into a cube because two faces would overlap

Answer

This is a valid cube net

Answer

This net produces a rectangular prism, not a cube

Answer

This net works only if the squares are not equal

Question 6

A square piece of paper has a hole already punched in the upper-right quadrant. The paper is then folded in half vertically (right side onto left side). How many holes are visible in the folded paper?

Accepted Answer

2

Answer

1

Answer

0

Answer

4

Question 7

Five dice are lined up in a row. The sum of all top-facing values is 23. What is the sum of all bottom-facing values?

Accepted Answer

35

Answer

12

Answer

23

Answer

28