Challenge Level

Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?

Challenge Level

Can you produce convincing arguments that a selection of statements about numbers are true?

Challenge Level

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

Challenge Level

This problem challenges you to sketch curves with different properties.

Challenge Level

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Challenge Level

This problem challenges you to find cubic equations which satisfy different conditions.

Challenge Level

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

Challenge Level

Here are two games you can play. Which offers the better chance of winning?