The night before the exam, sleep. A rested mind recalls what a tired one has only read.

Cubes and Dice — quick quiz

4 SOF IMO-pattern questions on Cubes and Dice. Instant scoring and solutions, no signup — see where you stand in a few minutes.

Question 1 of 4

Medium

A cube is painted red on all six faces. It is then cut into 64 smaller identical cubes. How many of these smaller cubes have exactly two faces painted red?