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Pizza Cut

Age 7 to 11
Challenge Level

Pizza Cut

Using only six straight cuts, find a way to make as many pieces of pizza as possible.

(The pieces can be different sizes and shapes).


Why do this problem?

This activity offers an opportunity for pupils to explore geometry and arithmetic in a simple and appealing way. It also has potential to be opened out by the pupils asking "I wonder what would happen if I ...?"

Possible approach

It would be good to start off with an example done as a whole group together. You could have a circle drawn on the interactive whiteboard, or ordinary board, and start with just three cuts, then build up to more. Encourage children to articulate their strategy for maximising the number of pieces.

Key questions

Did you find a good way of doing this?
Tell me what you have done.
Can you get more pieces by cutting in a different way?

Possible extension

Some learners can take this further by looking at a whole series of different numbers of cuts.

Possible support

It will be useful for pupils to have something that they can "cut up", such as discs of paper or card, or you could print this sheet of circles for them to draw in the lines.