Mathematics in Sport - June 2011, Stage 3&4

This month's resources have been inspired by sport (and the 2012 Olympics) and offer a chance to use mathematics to analyse and explain sporting situations.

Problems

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Factor Track

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

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Who's the Winner?

Stage: 3 Challenge Level: Challenge Level:1

When two closely matched teams play each other, what is the most likely result?

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Olympic Records

Stage: 3 Challenge Level: Challenge Level:1

Can you deduce which Olympic athletics events are represented by the graphs?

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Who's the Best?

Stage: 3 and 4 Challenge Level: Challenge Level:1

Which countries have the most naturally athletic populations?

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Training Schedule

Stage: 4 Challenge Level: Challenge Level:1

The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

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Track Design

Stage: 4 Challenge Level: Challenge Level:1

Where should runners start the 200m race so that they have all run the same distance by the finish?

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David and Goliath

Stage: 4 and 5 Challenge Level: Challenge Level:1

Does weight confer an advantage to shot putters?