Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

These pictures show squares split into halves. Can you find other ways?

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?

Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

This problem looks at how one example of your choice can show something about the general structure of multiplication.

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?