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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# 3D Shapes

### Tet-trouble

### Nine Colours

### Marbles in a Box

### Triangles to Tetrahedra

### Stretched Surfaces

### Rotation Identification

### Which Face?

### Multiplication Cube

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Age 14 to 16

Challenge Level

Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?

Age 11 to 16

Challenge Level

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Age 11 to 16

Challenge Level

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Age 11 to 14

Challenge Level

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

Age 14 to 16

ShortChallenge Level

The edges of a cube are stretched, can you find the new surface area?

Age 11 to 14

ShortChallenge Level

Which of these can be obtained by rotating this shape?

Age 14 to 16

ShortChallenge Level

Which faces are opposite each other when this net is folded into a cube?

Age 11 to 14

ShortChallenge Level

The net shown is folded up to form a cube. What is the largest possible vertex product?