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Speed-time Problems at the Olympics

Age 14 to 16
Challenge Level Yellow star
Secondary curriculum
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It is important to be aware throughout that these questions are (deliberately!) not as 'precisely' stated as typical textbook questions. For example, the phrase 'If she had continued running ...' from lane 2 requires an assumption to be made before computation of an answer.

There is no absolutely 'right' way to make these assumptions, although assumptions need to be made clearly.

One possible assumption might be that a runner runs at their average speed for the full distance.

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On the Road

Four vehicles travelled on a road. What can you deduce from the times that they met?

Pentagonal

Can you prove that the sum of the distances of any point inside a square from its sides is always equal (half the perimeter)? Can you prove it to be true for a rectangle or a hexagon?

A Scale for the Solar System

The Earth is further from the Sun than Venus, but how much further? Twice as far? Ten times?

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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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