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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?

Dicey Perimeter, Dicey Area

Age 7 to 11
Challenge Level
How can the dice help you draw a shape with that area?
Have you got all the shapes with that area/perimeter?  How do you know?
How could you 'tweak' that shape to get another with the same perimeter?