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'Doughnut' printed from http://nrich.maths.org/
Why do this problem?
requires a good understanding of the concept of fractions and challenges children to visualise 3D shapes.
You might decide to ask this question orally to start with, without giving the group any visual clues at all. Give pupils time to think on their own, then talk to a partner, then share initial ideas altogether.
In order to come to work on a solution, make sure pairs are encouraged to jot down/draw anything that might be useful.
You could test out ideas at the end with a real doughnut or a bagel!
How could you make your first two cuts?
How could you turn the doughnut so you can make another cut?
gives some ideas for extending the challenge, for example by looking at other 3D shapes, or by focusing on an A4 sheet or paper.
Using play dough or plasticene to make a doughnut-shape and then to try cutting it, will help children who find the visualisation difficult.