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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?

Bean Bags for Bernard's Bag

Age 7 to 11 Challenge Level:
You might find this sheet useful.
How will you know that you have found all the ways? Have you got a good system?
You could start by focusing on the blue hoop, for example. Where could the bean bags go?