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Pebbles

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?

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Great Squares

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

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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?

3x3 Areas

Stage: 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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