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Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

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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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Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?


Age 7 to 11 Challenge Level:

Even though this challenge is about times on clocks, the display on a calculator will help you to explore the patterns more easily than trying to write the numbers on paper. So grab a calculator and punch in some "times". A little hand mirror can help check for symmetry and reflections too.

Let us know what you find  by emailing! 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 in a summary of your children's work.

Hurrah! In 2015 we had a solution come in from Jake at St George's C of E primary school
You have to have 1 at the start otherwise it won’t work.
Then when I started to think about it, I realised you could have 0 or 2 to start. You can’t have a number greater than 2 because it is a 24 hour clock.
If you used 8 (which has symmetry) you would have 18:81 and you can’t have 8 in the minutes as the highest number you can have is 59 in the minutes.
I then worked out you could have these times:

0 1:1 0
05:20's good
1 0:0 1
1 1 . 1 1
1 2:5 1
1 5:2 1
2 1:1 5
22:55  Jake

Thanks, that's a good answer, sorry your previous submission got lost in the airways.