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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?

Let's Face It

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

Why do this problem?

This problem is a lovely way to extend work on magic squares, combining numerical and spatial ideas.

Key questions

Have you found one way of making a magic square?
How could you change the position of the numbers so that the square is still magic?

Possible support

This net may prove helpful - it has a $4$ by $4$ grid on each face.