Your Solutions - Stage 3 & 4

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?

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

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

Can you match each graph to one of the statements?

This problem challenges you to sketch curves with different properties.

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

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

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

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