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Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
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Geometry and measure

  • Angles, Polygons, and Geometrical Proof
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Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

Sporting Collection

Light Weights

Age 16 to 18
Challenge Level Yellow star

See how the weight of weights varies across the globe.

Any Win for Tennis?

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

What are your chances of winning a game of tennis?

The Olympic LOGO

Age 16 to 18
ShortChallenge Level Yellow star

Can you use LOGO to draw a logo?

Squash

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?

Angle of Shot

Age 16 to 18
Challenge Level Yellow starYellow star

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

Playing Squash

Age 16 to 18

Playing squash involves lots of mathematics. This article explores the mathematics of a squash match and how a knowledge of probability could influence the choices you make.

Pole Vaulting

Age 16 to 18
Challenge Level Yellow star

Consider the mechanics of pole vaulting

10 Olympic Starters

Age 16 to 18
Challenge Level Yellow star

10 intriguing starters related to the mechanics of sport.

FA Cup

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!

Little Little G

Age 16 to 18
Challenge Level Yellow starYellow star

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

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...

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?

David and Goliath

Age 14 to 18
Challenge Level Yellow star

Does weight confer an advantage to shot putters?

What's the Point of Squash?

Age 14 to 18
Challenge Level Yellow star

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

Alternative Record Book

Age 14 to 18
Challenge Level Yellow star

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

Stadium Sightline

Age 14 to 18
Challenge Level Yellow star

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

Nutrition and Cycling

Age 14 to 16
Challenge Level Yellow star

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

The Fastest Cyclist

Age 14 to 16
Challenge Level Yellow starYellow star

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

Track Design

Age 14 to 16
Challenge Level Yellow star

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

Speed-time Problems at the Olympics

Age 14 to 16
Challenge Level Yellow star

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

The Olympic Torch Tour

Age 14 to 16
Challenge Level Yellow starYellow star

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

Who's the Winner?

Age 14 to 16
Challenge Level Yellow star

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

Training Schedule

Age 14 to 16
Challenge Level Yellow starYellow star

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?

Olympic Triathlon

Age 14 to 16
Challenge Level Yellow star

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

Secondary Sport Collection

Age 11 to 18

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

Olympic Logic

Age 11 to 16
Challenge Level Yellow starYellow star

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

Tournament Scheduling

Age 11 to 16

Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.

Who's the Best?

Age 11 to 14
Challenge Level Yellow starYellow star

Which countries have the most naturally athletic populations?

Medal Muddle

Age 11 to 14
Challenge Level Yellow star

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

Age 11 to 14
Challenge Level Yellow star

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

Olympic Measures

Age 11 to 14
Challenge Level Yellow star

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

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.

Match the Matches

Age 7 to 11
Challenge Level Yellow starYellow star

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

National Flags

Age 7 to 11
Challenge Level Yellow star

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

Olympic Starters

Age 7 to 11
Challenge Level Yellow star

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

Sports Equipment

Age 7 to 11
Challenge Level Yellow star

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?

Now and Then

Age 7 to 11
Challenge Level Yellow starYellow star

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.

Olympic Turns

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

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

Going for Gold

Age 7 to 11
Challenge Level Yellow star

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?

Sport Collection

Age 5 to 18
Challenge Level Yellow star

This is our collection of favourite mathematics and sport materials.

May the Best Person Win

Age 5 to 16

How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?

Half Time

Age 5 to 11
Challenge Level Yellow star

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

Olympic Cards

Age 5 to 11
Challenge Level Yellow star

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

Olympic Rings

Age 5 to 7
Challenge Level Yellow starYellow star

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

Can You Do it Too?

Age 5 to 7
Challenge Level Yellow star

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

Who Can Be the Winner?

Age 5 to 7
Challenge Level Yellow starYellow star

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

The Games' Medals

Age 5 to 7
Challenge Level Yellow starYellow star

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

The Animals' Sports Day

Age 5 to 7
Challenge Level Yellow star

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.

Opening Patterns

Age 5 to 7
Challenge Level Yellow star

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

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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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