These tasks are chosen to tempt you to have a go and perhaps ask questions such as "I wonder what would happen if ...? and 'Could I ...?

Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.

Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Can you make the birds from the egg tangram?