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

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

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Tiles on a Patio

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

Square Corners

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

One way to start would be to find all the possible places for the four counters to go that would actually make a square.

Or you could fill in the grid with counters one by one, checking to make sure you haven't made a square.

Being systematic (i.e.doing things in a logical order) is the key!