Mensa IQ Test Mensa IQ Cube, Dice and Paper Folding 8

Question 1

A rectangular strip is divided into 5 equal squares.
Square 3 (the middle) is folded up to form the bottom of the box, squares 2 and 4 form the sides, and squares 1 and 5 form the top flaps.
If a dot is drawn on square 1 and the box is assembled, the dot faces:

Accepted Answer

Inward (inside the box)

Answer

Up (on the same side as square 5 flap)

Answer

Down (opposite square 5)

Answer

Away from square 5

Question 2

Four dice are stacked in a tower. The visible top of the stack shows 2. The three interfaces (where adjacent dice touch) have face-pairs summing to 7 each. The bottom face of the entire tower is unknown. What is the sum of ALL hidden faces (all touching interfaces plus the bottom of the tower)?

Accepted Answer

23

Answer

21

Answer

28

Answer

14

Question 3

A cube net in the shape of the letter 'L' (3 squares in a column and 3 squares extending right from the bottom square) — is this a valid cube net?

Accepted Answer

Yes, it folds into a valid cube

Answer

No, it produces a rectangular prism

Answer

No, two faces would overlap when folded

Answer

Yes, but only with non-square faces

Question 4

A square paper is folded in half twice, creating a small square that is one quarter the original size. A quarter-circle is cut from the corner that represents the CENTER of the original paper. When unfolded, the shape cut out is a:

Accepted Answer

Circle

Answer

Half-circle

Answer

Quarter circle

Answer

Oval

Question 5

In a 3×3×3 Rubik's cube (ignoring colors), how many unit cubes are on exactly 2 faces of the outer surface?

Accepted Answer

12

Answer

8

Answer

24

Answer

6

Question 6

A die shows 4 on top, 1 on the front face. It rolls: east, south, west. What is on top after these three moves?

Accepted Answer

4

Answer

6

Answer

2

Answer

3

Question 7

How many of the 11 valid cube nets have a row of exactly 4 squares as their longest straight line?

Accepted Answer

6

Answer

11

Answer

3

Answer

8