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Matchless

Age 14 to 16
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Matchless printable worksheet


There is a particular value of $x$, and a value of $y$ to go with it, which make all five expressions equal in value.
Can you find that $x$, $y$ pair?

 

 

 

    

Did you have more information than you needed to solve the problem?

 

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Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?

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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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