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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?

More Carroll Diagrams

Stage: 2 Challenge Level: Challenge Level:1

What do you know about the number $1$, for example? So where would you put it in the diagram?
You could look at each number in turn in this way.

In the second Carroll diagram, what do all the numbers in the top left box have in common?
How are they different to the numbers in the bottom left box, for example?