Mensa IQ Test Mensa IQ Cube, Dice and Paper Folding 1

Question 1

A standard die has opposite faces summing to 7. If the face showing 3 is on top and the face showing 1 faces you, which number is on the bottom?

Accepted Answer

4

Answer

6

Answer

2

Answer

5

Question 2

A square piece of paper is folded in half vertically, then folded in half horizontally. A circular hole is punched through all layers at the center of the folded square. When fully unfolded, how many holes appear?

Accepted Answer

4

Answer

1

Answer

2

Answer

8

Question 3

A cube net (cross-shaped) has a star on the center square, a circle on the square directly above it, and a triangle on the square directly below it. When folded, what shape is on the face opposite the star?

Accepted Answer

Circle

Answer

Triangle

Answer

Neither — star has no opposite

Answer

Square

Question 4

Three dice are stacked vertically. The top die shows 5 on top. The middle die shows 2 on its visible front face. The bottom die shows 1 on its right side. What is the sum of all hidden face values touching between the top and middle dice?

Accepted Answer

7

Answer

5

Answer

9

Answer

12

Question 5

A rectangular piece of paper is folded once diagonally so two corners meet. A triangular notch is cut from the folded edge at the midpoint. When unfolded, what shape is the cutout?

Accepted Answer

Diamond (rhombus)

Answer

Triangle

Answer

Square

Answer

Circle

Question 6

A die is placed on a table with 6 on top and 2 facing north. It is rolled one step to the east (tilted 90° eastward). What number is now on top?

Accepted Answer

4

Answer

3

Answer

1

Answer

5

Question 7

How many unit cubes make up a 3×3×3 cube with the inner core removed (only the outer shell remains)?

Accepted Answer

26

Answer

27

Answer

18

Answer

24