Mental calculations

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

Can you use the information to find out which cards I have used?

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

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

Can you work out some different ways to balance this equation?

Have a go at balancing this equation. Can you find different ways of doing it?

Can you match these calculation methods to their visual representations?

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

Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?