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This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

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Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?

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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

3x3 Areas

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

All but D have an area of 3 square units. D has an an area half a unit less than the other shapes.

How did you work this out?

Did you work out the areas of the coloured shapes or what was left?

Did you halve areas of rectangles?

This problem is taken from the UKMT Mathematical Challenges.
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