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How can you cut a doughnut into 8 equal pieces with only three cuts of a knife?

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Rectangle Tangle

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

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Dividing a Cake

Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?

Light Blue - Dark Blue

Age 7 to 11 Challenge Level:

Investigate the successive areas of light blue.

What fraction of the total area of the square does the area of light blue take up in each case?

Picture patterns based on squares

Can you work out what the next two diagrams would look like?