In our view, you can't do maths without reasoning! Why not have a go at these activities which will give you chances to reason in different ways? Can you explain your solution and convince someone else it is correct?

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

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

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

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?