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jpg, 15.56 KB
html, 687 Bytes
html, 687 Bytes
Fractions of amounts, Multiples
Key Stage: 3 ★★★

At the same time, Ben passed a third of his counters to Jack, Jack passed a quarter of his to Emma and Emma passed a fifth of hers to Ben. How many could each of them have started with?

This problem requires some simple knowledge of fractions and multiples and demands some strategic thinking. It may offer a good opportunity to compare methods between students - there isn't just one route to the solution. Note that there is no need to use algebra in this problem.

This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.


The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Creative Commons "Sharealike"

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