### Christmas Presents

We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?

### Face Painting

You want to make each of the 5 Platonic solids and colour the faces so that, in every case, no two faces which meet along an edge have the same colour.

### Let's Face It

In this problem you have to place four by four magic squares on the faces of a cube so that along each edge of the cube the numbers match.

# Cubic Conundrum

## Cubic Conundrum

Which of the following cubes can be made from the net above?

Is it possible to shade one more section of the net of the cube (perhaps like in the diagram below) and be able to give the same answer? Convince me.

Pupils could be challenged to visualise how the different cubes could be constructed from the net.

Perhaps working in pairs, pupils could try to convince each other why (and how) certain cubes can be made, and why certain cubes cannot be made.

Copies of the printed sheets, scissors and sticky tape could be made available at a later stage to allow pupils to cut up the net and make the various cubes.

The second part of the problem could be tackled in a similar way.