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Prompt Cards

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?


Age 7 to 11 Challenge Level:

This problem was solved by Ali and Prateek, both from Riccarton High School in Christchurch, New Zealand, by Malcolm and Hamish, both from Madras College in St Andrews, Scotland, and by Daniella, Alice and Alice L from The Mount School in York. Jacob from SSLC and Joshua from All Saints Junior School also sent solutions.

Well done to you all - although we didn't receive any solutions that explained exactly what you had done to arrive at the answer.

Daniella, Alice L and Alice U sent this picture:

Daniella, Alice and Alice's solution.

Prateek sent us a different image of the solution:

Prateek's solution.

Ross, Brandon, Holly and Daniela from Ashford Hill Primary wrote to say:

We have found that the numbers not in use are: $3$, $6$, $14$, $20$, $22$.