Mensa IQ Test Mensa IQ Cube, Dice and Paper Folding 2

Question 1

A square paper is folded in half along the vertical center line (right half folds onto left).
A rectangular notch is cut from the right edge (the folded edge) of the folded paper.
When unfolded, the cutout is shaped like a:

Accepted Answer

Narrow rectangle centered on the paper

Answer

Square in the top-right corner

Answer

Two separate rectangles on the left and right edges

Answer

L-shape

Question 2

On a standard die, if the 1 is on top and 2 faces you, which number is on your left?

Accepted Answer

3

Answer

4

Answer

5

Answer

6

Question 3

A 4×4×4 cube is painted red on all outer faces, then cut into 64 unit cubes. How many unit cubes have exactly two red faces?

Accepted Answer

24

Answer

16

Answer

8

Answer

32

Question 4

A square piece of paper is folded along its diagonal so the bottom-right corner meets the top-left corner. A hole is punched at the exact center of the folded triangle. When unfolded, where is/are the hole(s)?

Accepted Answer

Two holes symmetric about the diagonal fold

Answer

One hole at the center of the paper

Answer

Four holes at the corners

Answer

One hole in the upper-left quadrant

Question 5

Two dice are placed side by side. The left die shows 4 on top; the right die shows 2 on top. The faces touching between the two dice (left die's right face and right die's left face) must together sum to:

Accepted Answer

Cannot be determined

Answer

7

Answer

14

Answer

6

Question 6

A cube net looks like a 'T': one row of 4 squares across the top and one square hanging below the second square from the left. Which square is opposite the leftmost square in the top row?

Accepted Answer

The 4th (rightmost) square in the top row

Answer

The hanging square below

Answer

The 2nd square in the top row

Answer

The 3rd square in the top row

Question 7

A 3×3×3 cube is assembled from 27 unit cubes. How many unit cubes have NO painted faces (assuming only the outer surface is painted)?

Accepted Answer

1

Answer

8

Answer

0

Answer

6