Spheres, cylinders and cones

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Favourite

Sponge Sections

Age

7 to 11

Challenge level

2 out of 3

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
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Favourite

Which Solid?

Age

7 to 16

Challenge level

1 out of 3

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
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Favourite

Efficient Cutting

Age

11 to 14

Challenge level

3 out of 3

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.
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Favourite

Cola Can

Age

11 to 14

Challenge level

3 out of 3

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
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Favourite

Immersion

Age

14 to 16

Challenge level

2 out of 3

Various solids are lowered into a beaker of water. How does the water level rise in each case?
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Favourite

Fill Me Up Too

Age

14 to 16

Challenge level

2 out of 3

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?
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Favourite

Funnel

Age

14 to 16

Challenge level

3 out of 3

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 ?
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Mesh

Age

16 to 18

Challenge level

1 out of 3

A spherical balloon lies inside a wire frame. How much do you need to deflate it to remove it from the frame if it remains a sphere?
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There and Back Again

Age

11 to 14

Challenge level

1 out of 3

Bilbo goes on an adventure, before arriving back home. Using the information given about his journey, can you work out where Bilbo lives?
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Air Routes

Age

16 to 18

Challenge level

2 out of 3

Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.