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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?

Hidden Rectangles

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

Picture of rectangles

Rectangles are considered different if they vary in size or have different locations.

How many different rectangles can be drawn on a chessboard?

How many of the rectangles are squares?

What happens on an n by n board?