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Geoboards

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?

Pebbles

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?

Through the Window

Age 7 to 11 Challenge Level:
Are there any windows that use the same amount of glass?  How do their frame lengths differ?
Are there any windows that use the same amount of frame?  How do their glass areas differ?