Polyhedra

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Octa-Flower

Age

16 to 18

Challenge level

1 out of 3

Join some regular octahedra, face touching face and one vertex of each meeting at a point. How many octahedra can you fit around this point?
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Skeleton Shapes

Age

5 to 7

Challenge level

2 out of 3

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?
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Shadow Play

Age

5 to 11

Challenge level

3 out of 3

Here are shadows of some 3D shapes. What shapes could have made them?
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Guess What?

Age

7 to 11

Challenge level

1 out of 3

Can you find out which 3D shape your partner has chosen before they work out your shape?
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Cut Nets

Age

7 to 11

Challenge level

2 out of 3

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
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Next Size Up

Age

7 to 11

Challenge level

2 out of 3

The challenge for you is to make a string of six (or more!) graded cubes.
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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.
problem
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Triangles to Tetrahedra

Age

11 to 14

Challenge level

3 out of 3

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
problem
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Which Solids Can We Make?

Age

11 to 14

Challenge level

3 out of 3

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
problem
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Three Cubes

Age

14 to 16

Challenge level

2 out of 3

Can you work out the dimensions of the three cubes?