Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

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?

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

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?