### Doughnut

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

### 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?

### 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?

# Chocolate Bars

##### Age 7 to 11 Challenge Level:

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This is a game you can play on your own or with friends. You must imagine you are having a party!
You have put 1 chocolate bar on one chair, 2 bars on another chair and 3 chocolate bars on a third chair.
Each person takes it in turns to stand behind the chair where they will get the most chocolate if it is shared out straight away.

Which chair will this be?
Can you work out what fraction of a bar of chocolate each person will get?

You might also like to look at the investigation Chocolate.

This game is based on an old favourite which we were reminded of in an article by Peter Critchley in TES Mathematics Curriculum Special, Spring 2002.