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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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Tiles on a Patio

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

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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Two Squared

Age 7 to 11 Challenge Level:

You could draw the shapes on squared paper or isometric paper and cut out the smaller ones to fit into the larger ones.
Or you could print these sheets and cut out the shapes.
Don't forget you can rotate the smaller shapes!