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Exploring Wild & Wonderful Number Patterns

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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?

Consecutive Numbers

Stage: 2 and 3 Challenge Level: Challenge Level:1

Having chosen your four consecutive numbers you place $+$ and $-$ signs in between them.

You have three empty spaces, so how many possible combinations are there for arranging the $+$ and $-$ signs?

Are you sure you have found them all? How will you know?