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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?

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Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

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Kissing Triangles

Determine the total shaded area of the 'kissing triangles'.

Perimeter Challenge

Age 11 to 14 Challenge Level:

In each of the following problems, work out the perimeter of one small rectangle:  






Can you find the perimeter of this shape?


You may wish to try Perimeter Possibilities next.

With thanks to Don Steward, whose ideas formed the basis of this problem.