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Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

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Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.

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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Play a Merry Tune

Age 7 to 11 Challenge Level:

Your solutions to this problem will depend on the sorts of questions you asked yourselves. Isaac from High Wood Primary (and his Dad) did a calculation to try and work out how many different ways in total there might be to put the six different gourds on the wheel!

We'd love to hear about some of the tunes you make. You could create your own rules for making tunes, as the problem suggests - do you need to use at least one of each gourd? Are you allowing yourself spaces? Or why not compare the two tunes we've made in the problem?


Please don't worry that your solution is not "complete" - we'd like to hear about anything you have tried. Teachers - you might like to send a summary of your children's work.