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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.

Square Coordinates

Age 11 to 14 Challenge Level:

The red and blue arrows help you to see how you can travel from one vertex to another.

What do you notice about the pattern of red and blue arrows that surround the tilted squares?




Look at the collections of points and try to picture the red and blue arrows travelling from vertex to vertex.
Do they satisfy the conditions needed for them to form a square?