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Money Measure

Age 7 to 11
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Money Measure



You have ten identical open-topped boxes with 10 visually identical coins in each.

In nine of the boxes each of the 10 coins has a mass of 10g.
In one box the 10 coins have masses of only 9g each.

How can you find which box is the odd one out?

You have a normal mass measurer with a single pan and a scale. With just one weighing you can identify the box with the lighter coins.

What will you weigh?


 

Why do this problem?

This problem involves thinking 'out of the box'. The pupils need to work out a way of making one weighing of all the boxes that will give them information about all the different boxes at once.

Possible approach


Key questions


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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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