Spheres, cylinders and cones

project
Make your own pencil case

What shape would fit your pens and pencils best? How can you make it?
problem
Gym bag

Age

11 to 16

Challenge level

Can Jo make a gym bag for her trainers from the piece of fabric she has?
problem
Cylinder cutting

Age

7 to 11

Challenge level

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
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
Which solid?

Age

7 to 16

Challenge level

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.
problem
Pack man

Age

16 to 18

Challenge level

A look at different crystal lattice structures, and how they relate to structural properties
problem
Immersion

Age

14 to 16

Challenge level

Various solids are lowered into a beaker of water. How does the water level rise in each case?
problem
Packing 3D shapes

Age

14 to 16

Challenge level

What 3D shapes occur in nature. How efficiently can you pack these shapes together?
problem
Funnel

Age

14 to 16

Challenge level

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 ?
problem
Cola can

Age

11 to 14

Challenge level

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