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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.
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?
Three Neighbours
Age 7 to 14
Challenge Level
Take three consecutive numbers and add them together. What do you notice?