Cubes and cuboids

problem
Little boxes

Age

7 to 11

Challenge level

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
problem
Cereal packets

Age

7 to 11

Challenge level

How can you put five cereal packets together to make different shapes if you must put them face-to-face?
problem
Construct-o-straws

Age

7 to 11

Challenge level

Make a cube out of straws and have a go at this practical challenge.
problem
Multilink cubes

Age

7 to 11

Challenge level

If you had 36 cubes, what different cuboids could you make?
page
Making maths: link-a-cube

Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.
article
Paper folding - models of the Platonic solids

A description of how to make the five Platonic solids out of paper.
article
Dice, routes and pathways

This article for teachers discusses examples of problems in which there is no obvious method but in which children can be encouraged to think deeply about the context and extend their ability to think mathematically, especially geometrically.
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?