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Geoboards

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

Polydron

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

Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?

Tangrams

Age 5 to 11 Challenge Level:
The tangram is based on the dissection of a square into seven pieces.
 
Can you make other squares using some, not all, of the pieces?
Can you make five different squares?
What is the smallest square you can make?
What is the largest?
Tangram Image
 
You might find it helpful to use the interactivity below to try out your ideas, or to print and cut out one of the tangrams on this sheet.