List

Surface Area and Volume

Efficient cutting
problem
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Efficient cutting

Age
11 to 14
Challenge level
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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.
Gutter
problem
Favourite

Gutter

Age
14 to 16
Challenge level
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Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?
Fill Me Up Too
problem
Favourite

Fill Me Up Too

Age
14 to 16
Challenge level
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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?