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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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Worms

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?

Rod Measures

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

There are exactly 9 different solutions for N=10 units with no rod longer than 10 units. Can you find them? With one of these solutions you can measure up to N=13. Can you do better if you can choose 3 longer measuring rods?

If you double the lengths of all three rods in one of these solution sets you can measure even lengths from 2 to 2N units. Introducing a one unit rod to make up a set of four measuring rods you can now measure all lengths from 1 to (2N+1) units. Can you do better than 27 units with 4 rods?