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Practice Run

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
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Chandrika was practising a long distance run she was going to do next week.

In the first 10 minutes she ran well over 2 kilometres.
In the second 10 minutes she jogged just half that distance.
In the third 10 minutes she walked just half as far.
In the fourth 10 minutes she dawdled only half of that and so on.

Well, in theory at least, she would never have quite reached the end, but it happened that right at the end of a 10 minute stretch, exactly one metre from the finishing post, Chandrika tripped and fell forward over the line.

How long was the race to be and how long did Chandrika take doing it?

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If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?

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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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