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|Seven squares are set inside each other. The centre points of each side of the outer square are joined to make a smaller square inside it and so on.|
|The centre square has the area of $1$ (one) square unit.|
What is the total area of the four outside triangles which are outlined in red?
This problem is also available in French: Les 7 carrÃ©s
This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
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?