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Great Squares

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

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Paving the Way

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

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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?

Square Coordinates

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

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?