Reasoning
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 Stage: 1 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?
Poly Plug Rectangles Stage: 1 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?
Eggs in Baskets Stage: 1 Challenge Level:
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?
Hundred Square Stage: 1 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?
Two Numbers Under the Microscope Stage: 1 Challenge Level:
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
That Number Square! Stage: 1 and 2 Challenge Level:
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.