article
Take one example
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.
Odd and even numbers
problem
Odds, Evens and More Evens
Age
11 to 14
Challenge level
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
problem
Pairs of legs
Age
5 to 7
Challenge level
How many legs do each of these creatures have? How many pairs is that?
problem
Carroll Diagrams
Age
5 to 11
Challenge level
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
problem
Largest Even
Age
5 to 11
Challenge level
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
problem
Pairs of Numbers
Age
5 to 7
Challenge level
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
problem
Curious number
Age
7 to 11
Challenge level
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
problem
How Odd
Age
5 to 7
Challenge level
This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
problem
Light the Lights
Age
5 to 7
Challenge level
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
problem
Cube bricks and daisy chains
Age
5 to 7
Challenge level
Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.