Challenge Level

Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?

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?

Challenge Level

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

Challenge Level

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

Challenge Level

The edges of a cube are stretched, can you find the new surface area?

Challenge Level

Which of these can be obtained by rotating this shape?

Challenge Level

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

Challenge Level

The net shown is folded up to form a cube. What is the largest possible vertex product?