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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?


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?


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

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?