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

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

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

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?

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

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 activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

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

This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.