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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?

Three Way Mix Up

Age 5 to 11
Challenge Level

Jack has three blue tiles, three yellow tiles and three red tiles.
He put them together like this to make a square.


He made the rule that you could not put two tiles of the same colour beside each other.

Can you find another way to do it?
Can you find ALL the ways to do it?

You could try out some ideas using this interactive:

Printable NRICH Roadshow resource. 

Click here for a poster of this problem.