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10 intriguing starters related to the mechanics of sport.

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In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

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At what angle should you release the shot to break Olympic records?

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Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

How do decisions about scoring affect who wins a combined event such as the decathlon?

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Looking at the 2012 Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

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What could the half time scores have been in these Olympic hockey matches?

How high can a high jumper jump? How can a high jumper jump higher without jumping higher? Read on...

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Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.

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Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?

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This problem explores the shapes and symmetries in some national flags.

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Look at the changes in results on some of the athletics track events at the Olympic Games in 1908 and 1948. Compare the results for 2012.

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Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

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Design your own scoring system and play Trumps with these Olympic Sport cards.

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Can you use your powers of logic and deduction to work out the missing information in these sporty situations?

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These Olympic quantities have been jumbled up! Can you put them back together again?

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

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This problem is intended to get children to look really hard at something they will see many times in the next few months.

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Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

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Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

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This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

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Look at some of the patterns in the Olympic Opening ceremonies and see what shapes you can spot.

In this article, Alan Parr shares his experiences of the motivating effect sport can have on the learning of mathematics.

This is our secondary collection of favourite mathematics and sport materials.

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Have you ever wondered what it would be like to race against Usain Bolt?

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If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?

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How would you design the tiering of seats in a stadium so that all spectators have a good view?

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One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.

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Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?

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Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?

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Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?

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

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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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Under which circumstances would you choose to play to 10 points in a game of squash which is currently tied at 8-all?

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Some children have been doing different tasks. Can you see who was the winner?

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Which countries have the most naturally athletic populations?

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

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See how little g and your weight varies around the world. Did this variation help Bob Beamon to long-jumping succes in 1968?