Mensa IQ Cube, Dice and Paper Folding Flashcards
7 cards from real MENSA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Mensa IQ Cube, Dice and Paper Folding flashcards as text
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?
Answer: 2
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.
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?
Answer: A and D
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).
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?
Answer: 3
Folding in thirds creates 3 layers; one punch creates 3 holes when fully unfolded.
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?
Answer: 8
In a 2×2×2 cube, every unit cube is a corner piece, so all 8 unit cubes have exactly 3 painted faces.
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?
Answer: 6
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.
A square paper is folded so the top edge meets the bottom edge, then folded again so the left edge meets the right edge. A rectangular notch is cut from the bottom-left corner (the completely closed corner). When unfolded, the cutout forms a:
Answer: Square in the center of the paper
The fully closed corner after two folds corresponds to the exact center of the original paper; cutting there creates one square hole in the center when unfolded.
How many edges does a cube have?
Answer: 12
A cube has 6 faces, 8 vertices, and 12 edges — this is a fundamental property of a cube.