
problem
Efficient cutting
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.

problem
Gutter
Manufacturers need to minimise the amount of material used to make
their product. What is the best cross-section for a gutter?

problem
Fill me up too
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?