Odd and even numbers

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.
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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...
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Pairs of legs

Age

5 to 7

Challenge level

How many legs do each of these creatures have? How many pairs is that?
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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?
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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?
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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?
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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?
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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?
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Cube bricks and daisy chains

Age

5 to 7

Challenge level

Daisy and Akram have made some number patterns. Can you find out which pattern is longer?