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

Tiles on a Patio

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


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?

Making Rectangles

Age 7 to 14
Challenge Level

Hint 1
What is the area of each rectangle?

Hint 2
What might the length of each rectangle be?

Hint cards can be downloaded here: wordpdf.