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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?

Two by One

Age 7 to 11
Challenge Level

There are lots of answers to this question, depending on what patterns you look for, and how big you think the room is.

Have a try for yourself, and if you discover anything interesting, let us know by emailing

Please don't worry that your solution is not "complete" - we'd like to hear about anything you have tried.

Teachers - you might like to send in a summary of your children's work.