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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?

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Chess

What would be the smallest number of moves needed to move a Knight from a chess set from one corner to the opposite corner of a 99 by 99 square board?

Paving the Way

Age 11 to 14 Challenge Level:

A man completely paved a square courtyard with square tiles. He decided that it was too small, so he took up the tiles, bought 100 more and used them to pave another square courtyard. All the tiles were the same size. How many tiles did he use altogether?