An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
Can Jo make a gym bag for her trainers from the piece of fabric she has?
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
What shape would fit your pens and pencils best? How can you make it?
Draw three straight lines to separate these shapes into four groups - each group must contain one of each shape.
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.
Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.