You may also like

Hallway Borders

What are the possible dimensions of a rectangular hallway if the number of tiles around the perimeter is exactly half the total number of tiles?

Square Pegs

Which is a better fit, a square peg in a round hole or a round peg in a square hole?

Boxed In

A box has faces with areas 3, 12 and 25 square centimetres. What is the volume of the box?

Giant Rubik's Cube

Age 11 to 14 Short
Challenge Level

A Rubik’s cube is made of 3 by 3 by 3 smaller cubes – so 27 in total – but only 26 of them are visible.

How many cubes would be visible in a 12 by 12 by 12 Rubik’s cube?

This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.