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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Primary Generic Proof

### Two Numbers Under the Microscope

### Odd Times Even

### Walking Round a Triangle

### Take One Example

### Take Three Numbers

### Square Subtraction

### Round a Hexagon

### Three Neighbours

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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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

This problem looks at how one example of your choice can show something about the general structure of multiplication.

Age 5 to 7

Challenge Level

This ladybird is taking a walk round a triangle. Can you see how much he has turned when he gets back to where he started?

Age 5 to 11

This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.

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 11

Challenge Level

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

Age 7 to 11

Challenge Level

This problem shows that the external angles of an irregular hexagon add to a circle.

Age 7 to 14

Challenge Level

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