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Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?

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Child's Play

A toy has a regular tetrahedron, a cube and a base with triangular and square hollows. If you fit a shape into the correct hollow a bell rings. How many times does the bell ring in a complete game?

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Making Maths: Triangular Ball

Make a ball from triangles!

Face Painting

Age 7 to 11 Challenge Level:
How many faces/edges/vertices does this shape have?
How many other faces does each face touch?
Have you tried drawing a net of the shape?
It might help to make the shape out of Polydron, or perhaps you can find some solid shapes to work with?