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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?

A Day with Grandpa

Age 7 to 11
Challenge Level

Remember there are 12 inches in a foot and three feet in a yard.
Might it help to draw a sketch?
Perhaps you can use your diagram to think about how many square inches there are in a square foot and how many square feet there are in a square yard?