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!

10 Olympic Starters

Age 16 to 18
Challenge Level

10 intriguing starters related to the mechanics of sport.

Alternative Record Book

Age 14 to 18
Challenge Level

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

Angle of Shot

Age 16 to 18
Challenge Level

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

Any Win for Tennis?

Age 16 to 18
Challenge Level

What are your chances of winning a game of tennis?

Can You Do it Too?

Age 5 to 7
Challenge Level

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

David and Goliath

Age 14 to 18
Challenge Level

Does weight confer an advantage to shot putters?

Decathlon: the Art of Scoring Points

Age 14 to 18

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

Going for Gold

Age 7 to 11
Challenge Level

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?

Half Time

Age 5 to 11
Challenge Level

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

High Jumping

Age 14 to 18

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

Light Weights

Age 16 to 18
Challenge Level

See how the weight of weights varies across the globe.

Match the Matches

Age 7 to 11
Challenge Level

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

Medal Muddle

Age 11 to 14
Challenge Level

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?

National Flags

Age 7 to 11
Challenge Level

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

Now and Then

Age 7 to 11
Challenge Level

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.

Nutrition and Cycling

Age 14 to 16
Challenge Level

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

Olympic Cards

Age 5 to 11
Challenge Level

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

Olympic Logic

Age 11 to 16
Challenge Level

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

Olympic Measures

Age 11 to 14
Challenge Level

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

Olympic Records

Age 11 to 14
Challenge Level

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

Olympic Rings

Age 5 to 7
Challenge Level

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

Olympic Starters

Age 7 to 11
Challenge Level

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

Olympic Triathlon

Age 14 to 16
Challenge Level

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

Olympic Turns

Age 7 to 11
Challenge Level

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

Opening Patterns

Age 5 to 7
Challenge Level

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

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

Age 7 to 16

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

Pole Vaulting

Age 16 to 18
Challenge Level

Consider the mechanics of pole vaulting

Secondary Sport Collection

Age 11 to 18

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

Speed-time Problems at the Olympics

Age 14 to 16
Challenge Level

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

Sports Equipment

Age 7 to 11
Challenge Level

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?

Stadium Sightline

Age 14 to 18
Challenge Level

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

The Animals' Sports Day

Age 5 to 7
Challenge Level

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.

The Fastest Cyclist

Age 14 to 16
Challenge Level

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

The Games' Medals

Age 5 to 7
Challenge Level

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

The Olympic Torch Tour

Age 14 to 16
Challenge Level

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

The Olympic LOGO

Age 16 to 18 Short
Challenge Level

Can you use LOGO to draw a logo?

Track Design

Age 14 to 16
Challenge Level

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

Training Schedule

Age 14 to 16
Challenge Level

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?

What's the Point of Squash?

Age 14 to 18
Challenge Level

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

Who Can Be the Winner?

Age 5 to 7
Challenge Level

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

Who's the Best?

Age 11 to 14
Challenge Level

Which countries have the most naturally athletic populations?

Who's the Winner?

Age 14 to 16
Challenge Level

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

Little Little G

Age 16 to 18
Challenge Level

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