3D Shapes

This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.

Triangles to Tetrahedra

Age 11 to 14 Challenge Level:

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

Marbles in a Box

Age 11 to 14 Challenge Level:

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

Nine Colours

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 14 to 16 Challenge Level:

Show that is it impossible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units...

3D Shapes - Short Problems

Age 11 to 16

A collection of short problems on 3D shapes.

You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.