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Happy Halving

Can you split each of the shapes below in half so that the two parts are exactly the same?

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Same Shapes

How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?

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Halving

These pictures show squares split into halves. Can you find other ways?

A Bowl of Fruit

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

In total, what fraction of the fruit in the bowl are oranges, pears and bananas?
How many pieces of fruit which are not apples are there altogether?
In the second part of the problem, what fraction of the fruit in the bowl are bananas, pears and plums?
How many bananas, pears and plums are there altogether?
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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NRICH is part of the family of activities in the Millennium Mathematics Project.