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This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.


This activity investigates how you might make squares and pentominoes from Polydron.

Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

Wag Worms

Age 7 to 11
Challenge Level

When intergalactic Wag Worms are born they look just like a cube.

Each year they grow another cube in any direction (except on their faces of course). So a Wag Worm in its second year might look like any of these.


The next year it grows another cube onto its second cube (not its face cube). So one shape a Worm in its third year can be is this:


Find all the shapes that a Wag Worm in its third year can be.

Click here for a poster of this problem.