You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
A description of how to make the five Platonic solids out of paper.
This article for students gives some instructions about how to make some different braids.
Watch the video in which Bryony demonstrates how to make a flower from a square of paper. (If you can't see the control bar, zoom out in your browser.)
She then sets you a challenge: what fraction of the original square of paper is the shaded triangle?
Thank you to Bryony Black for giving us permission to use this problem.