Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# I Like to Prove It!

###
Even and Odd

###
Two Numbers Under the Microscope

###
Next-door Numbers

###
Strike it Out

###
Unravelling Sequences

###
An Easy Way to Multiply by 10?

###
Take Three Numbers

###
Neighbourly Addition

###
Three Neighbours

Or search by topic

Mathematicians aren't usually satisfied with looking at a few examples and spotting patterns. That is just the start! They will form conjectures based on their noticings and they will want to know whether their conjectures are always true. The tasks in this feature give you the chance to identify patterns, make conjectures and then create mathematical arguments that will be convincing to mathematicians!

*You may also like to take a look at our Shape Your Proof feature which gives you tasks for a similar purpose but in the context of number.*

Age 5 to 7

Challenge Level

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

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

Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?

Age 5 to 11

Challenge Level

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Age 7 to 11

Challenge Level

Can you describe what is happening as this program runs? Can you unpick the steps in the process?

Age 7 to 11

Challenge Level

Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

Age 7 to 11

Challenge Level

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Age 7 to 14

Challenge Level

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

Age 7 to 14

Challenge Level

Take three consecutive numbers and add them together. What do you notice?