Reasoning

Current

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! link

That Number Square! 

Stage: 1 and 2 Challenge Level: Challenge Level:1

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

Which Scripts? link

Which Scripts? live

Stage: 2 Challenge Level: Challenge Level:1

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

Rectangle Tangle link

Rectangle Tangle live

Stage: 2 Challenge Level: Challenge Level:1

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 link

Coded Hundred Square 

Stage: 2 Challenge Level: Challenge Level:1

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

Maze 100 link

Maze 100 

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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

Amy's Dominoes link

Amy's Dominoes 

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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?

Fraction Fascination link

Fraction Fascination live

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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