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You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.
Fractions KS1
Happy Halving
Age 5 to 7
Challenge Level 
Can you split each of the shapes below in half so that the two parts are exactly the same?
Halving
Age 5 to 7
Challenge Level 
These pictures show squares split into halves. Can you find other ways?
Fair Feast
Age 5 to 11
Challenge Level
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
Two Halves
Age 3 to 5
This task provides children with the opportunity to investigate halving different shapes and check that they have made two halves.
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.