Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.
What shape would fit your pens and pencils best? How can you make it?
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?
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.
If the radius of the tubing used to make this stand is r cm, what is the volume of tubing used?
What's the most efficient proportion for a 1 litre tin of paint?
An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.