Explaining, convincing and proving

Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

Looking at the Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

This problem shows that the external angles of an irregular hexagon add to a circle.

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

In this game the winner is the first to make the total 37. Is this a fair game?

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Use your knowledge of place value to try to win this game. How will you maximise your score?

Can you put these four calculations into order of difficulty? How did you decide?

Can you find out which 3D shape your partner has chosen before they work out your shape?