problem
Fill me up too
Age
14 to 16
Challenge level
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?
problem
Efficient cutting
Age
11 to 14
Challenge level
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
Age
14 to 16
Challenge level
Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?