Nets

problem
A puzzling cube

Age

7 to 11

Challenge level

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
problem
Presents

Age

7 to 11

Challenge level

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

Age

7 to 11

Challenge level

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.
problem
Cut nets

Age

7 to 11

Challenge level

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
problem
Triangular faces

Age

7 to 11

Challenge level

This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?
problem
Let's face it

Age

7 to 11

Challenge level

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.
problem
All wrapped up

Age

7 to 11

Challenge level

What is the largest cuboid you can wrap in an A3 sheet of paper?
problem
Auditorium steps

Age

7 to 14

Challenge level

What is the shape of wrapping paper that you would need to completely wrap this model?
project
Make your own pencil case

11 to 14

What shape would fit your pens and pencils best? How can you make it?
problem
Cool as ice

Age

11 to 16

Challenge level

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.