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Doughnut

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 ten numbered 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?

Fractional Triangles

Stage: 2 Challenge Level: Challenge Level:1

Chris and Jenny sent us some colourful diagrams to show their answers:

Two halvesThree thirdsSix sixthsNine ninths
Julia drew on the line she'd draw to get quarters. Can you see that there are now four identical triangles? (Concentrate on the thickest lines.)
Four quarters
There are lots of ways to divide the shape up into two halves. Sunita and Raj sent us two that they thought were nice:
Two halvesTwo halves

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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