# Reasoning

## Reasoning

In our view, you can't do maths without reasoning! But what is mathematical reasoning and when do we need it? Have a go at these activities which give you chances to reason in different ways and for different purposes. Can you explain your solution, convince someone else it is correct and justify your conclusions?

### That Number Square!live

##### 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?

### Which Scripts?

##### Stage: 2 Challenge Level:

There are six numbers written in five different scripts. Can you sort out which is which?

### Rectangle Tangle

##### Stage: 2 Challenge Level:

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

### Coded Hundred Square

##### Stage: 2 Challenge Level:

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

### Amy's Dominoes

##### Stage: 2 Challenge Level:

Amy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?

### Maze 100

##### Stage: 2 Challenge Level:

Can you go through this maze so that the numbers you pass add to exactly 100?

### Fraction Fascination

##### Stage: 2 Challenge Level:

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.