Mensa IQ Test Mensa IQ Cube, Dice and Paper Folding 3

Question 1

A die is rolled from its starting position (6 on top, 1 facing north) one step south, then one step east. What number is on top after both rolls?

Accepted Answer

2

Answer

Rolling south brings the south face (initially 2, since 2 is opposite 5 and 1 faces north on standard die) to the top after the first roll; then rolling east from that position brings 2 to the top.

Question 2

A strip of 6 squares in a row is a valid cube net. If the leftmost square is labeled A and the rightmost is labeled F, which pair of squares becomes opposite faces?

Accepted Answer

A and D

Answer

In a linear strip of 6 squares, squares 1 apart after wrapping become opposite: A(1) is opposite D(4), B(2) is opposite E(5), C(3) is opposite F(6).

Question 3

A rectangular piece of paper is folded in thirds (left third folds over middle, then right third folds over). A circular punch is made through all layers in the center. How many holes appear when fully unfolded?

Accepted Answer

3

Answer

Folding in thirds creates 3 layers; one punch creates 3 holes when fully unfolded.

Question 4

A 2×2×2 cube is painted on all outer faces, then cut into 8 unit cubes. How many unit cubes have exactly 3 painted faces?

Accepted Answer

8

Answer

In a 2×2×2 cube, every unit cube is a corner piece, so all 8 unit cubes have exactly 3 painted faces.

Question 5

If a die has 3 on top and 5 facing you, and is then rotated 90° clockwise (viewed from above) without tilting, what number now faces you?

Accepted Answer

6

Answer

A 90° clockwise rotation (viewed from top) moves the face that was to the left to face you; with 3 on top and 5 toward you on a standard die, 6 is to the left, so 6 now faces you.

Mensa Practice Test Practice Test

Mensa Practice Test Practice Test

Mensa IQ Test Mensa IQ Cube, Dice and Paper Folding 3