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Music to My Ears

Age 7 to 11
Challenge Level Yellow star
Primary curriculum
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If you count "$1$" as you do your first clap, then "$2$" when you clap for the second time, then "$3$" when you click, then "$4$" as you clap again etc, this might help.
How many beats are there in one repetition of the rhythm?
You could write down numbers, say from $1$ to $12$ and underneath each number write whether you are clapping or clicking. Do you notice anything that the clicking numbers have in common?
How about writing down both rhythms with the beat numbers for the second part of the problem? This might help you spot some patterns again.

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Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

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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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