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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?


Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

It is possible to dissect any square into smaller squares. For example a 3 by 3 square can be dissected into either 9 smaller squares or 6 squares:

  • What is the minimum number of squares a 13 by 13 square can be dissected into?

  • What is the smallest size square which can be dissected into squares which are all different sizes?