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

When the right edge (fold) is cut and the paper is unfolded, the cut opens symmetrically to create one rectangle spanning the center of the full sheet.

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

With 1 on top and 2 facing you on a right-handed standard die, the face on your left is 3.

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

Unit cubes with exactly two painted faces are the edge pieces (not corners): each edge of the cube has 2 inner pieces × 12 edges = 24 edge-only pieces.

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

A diagonal fold creates two layers; a single punch makes two holes that are mirror images across the diagonal when unfolded.

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

The touching faces belong to different dice; there is no rule forcing them to sum to any fixed number — only opposite faces on the SAME die sum to 7.

Mensa Practice Test Practice Test

Mensa Practice Test Practice Test

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