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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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Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

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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?

Blue and White

Stage: 3 Challenge Level: Challenge Level:1

In the examples below identical squares of side one unit contain some circles shaded blue.

In which of the four examples is the shaded area greatest?


This problem is also available in French: Bleu et Blanc