Nets

problem
Platonic planet

Age

14 to 16

Challenge level

Glarsynost lives on a planet whose shape is that of a perfect regular dodecahedron. Can you describe the shortest journey she can make to ensure that she will see every part of the planet?
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?
article
All is number

Read all about Pythagoras' mathematical discoveries in this article written for students.
article
Thinking 3D

How can we as teachers begin to introduce 3D ideas to young children? Where do they start? How can we lay the foundations for a later enthusiasm for working in three dimensions?
game

Instant insanity

Age

11 to 18

Challenge level

We have a set of four very innocent-looking cubes - each face coloured red, blue, green or white - and they have to be arranged in a row so that all of the four colours appear on each of the four long sides of the resulting cuboid.
problem
Which face?

Age

14 to 16

Challenge level

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