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?

Largest Even 

Age 5 to 7 Challenge Level:
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Two Numbers Under the Microscope 

Age 5 to 7 Challenge Level:
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

Eggs in Baskets 

Age 5 to 7 Challenge Level:
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

Hundred Square 

Age 5 to 7 Challenge Level:
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

That Number Square! 

Age 5 to 11 Challenge Level:
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Poly Plug Rectangles 

Age 5 to 14 Challenge Level:
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?