List

Surface area and volume

Gutter
problem

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?
Immersion
problem

Immersion

Age
14 to 16
Challenge level
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Various solids are lowered into a beaker of water. How does the water level rise in each case?

Fill Me Up Too
problem

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?
Funnel
problem

Funnel

Age
14 to 16
Challenge level
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A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?