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# Reasoning

### Two Numbers Under the Microscope

### Eggs in Baskets

### Largest Even

### Poly Plug Rectangles

### That Number Square

### Hundred Square

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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?

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.

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?

Age 5 to 11

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?

Age 5 to 11

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?

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?

Age 5 to 11

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?