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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?

Dissect

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

2001 Spatial Oddity

With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.

Coloured Edges

Age 11 to 14 Challenge Level:
What sort of number of tiles must you use to make a square?
What sort of number of tile edges must fill the perimeter of the square?