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Age 5 to 7
Challenge Level Yellow star
Primary curriculum
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Sam from Hitchin Boys' School, wrote in with a general solution to this problem:

My solution is that all the numbers that are a factor of neither of the numbers you use will be quietest.
The numbers that are factors of either but not both will be the middle volume and the numbers that are factors of both will be loudest.

That's very clearly put, thank you Sam.


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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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