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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?

Buckets of Thinking

Age 7 to 11 Challenge Level:

There are three buckets: one red, one blue and one yellow. They each hold a maximum of $5$ litres.

three buckets

Liquid is measured carefully in whole litres and poured into the buckets, a different number of litres in each one.

If the liquid in the red bucket was poured into the blue bucket, it would then contain the same amount of liquid as the yellow bucket.

Half the contents of the yellow bucket is the same as twice that in the red bucket.

How much liquid is there in each bucket?

 

This problem is also available in French: Question de chaudières.