Primary Generic Proof

Two Numbers Under the Microscope

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.

Odd Times Even

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.

Walking Round a Triangle

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?

Take One Example

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.

Take Three Numbers

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?

Square Subtraction

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?

Round a Hexagon

Age 7 to 11
Challenge Level

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

Three Neighbours

Age 7 to 11
Challenge Level

Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?