Secondary Sport Collection

Here is a nice collection of NRICH activities related to sport, ideal for the English sporty summer of 2012.

You can also find lots of lovely activities on the sport.maths.org pages.

Remember that our stages roughly refer to the English Key Stages in which the mathematical content is likely to be found and the number of stars indicate how difficult is is likely to be to get into the problem. All our problems are likely to contain enough depth to satisfy the most enthusiastic problem solvers!

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?

Medal Muddle

Stage: 3 Challenge Level: Challenge Level:1

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?

Olympic Records

Stage: 3 Challenge Level: Challenge Level:1

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

Olympic Measures

Stage: 3 Challenge Level: Challenge Level:1

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

Speed-time Problems at the Olympics

Stage: 4 Challenge Level: Challenge Level:1

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

The Olympic Torch Tour

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

Olympic Triathlon

Stage: 4 Challenge Level: Challenge Level:1

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

The Fastest Cyclist

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

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?

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?

Nutrition and Cycling

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

Olympic Logic

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

Who's the Best?

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

Which countries have the most naturally athletic populations?

Performing Beyond Expectations - Using Sport to Motivate Students in Mathematics Lessons

Stage: 2, 3 and 4

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

Pole Vaulting

Stage: 5 Challenge Level: Challenge Level:1

Consider the mechanics of pole vaulting

Little Little G

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

Light Weights

Stage: 5 Challenge Level: Challenge Level:1

See how the weight of weights varies across the globe.

Any Win for Tennis?

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What are your chances of winning a game of tennis?

Angle of Shot

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

10 Olympic Starters

Stage: 5 Challenge Level: Challenge Level:1

10 intriguing starters related to the mechanics of sport.

High Jumping

Stage: 4 and 5

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

Stadium Sightline

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

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

What's the Point of Squash?

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

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

David and Goliath

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

Does weight confer an advantage to shot putters?

Alternative Record Book

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

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

Weekly Challenge 20: the Olympic LOGO

Stage: 3, 4 and 5 Short Challenge Level: Challenge Level:1

A weekly challenge concerning drawing shapes algorithmically.

Decathlon: the Art of Scoring Points

Stage: 3, 4 and 5

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