When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?

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

Invent a scoring system for a 'guess the weight' competition.

A maths-based Football World Cup simulation for teachers and students to use.

Ideas for practical ways of representing data such as Venn and Carroll diagrams.

How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.

How can we make sense of national and global statistics involving very large numbers?

Making a scale model of the solar system

With access to weather station data, what interesting questions can you investigate?

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

This article for teachers looks at some suggestions taken from the NRICH website that offer a broad view of data and ask some more probing questions about it.

Do you know which birds are regular visitors where you live?

Six samples were taken from two distributions but they got muddled up. Can you work out which list is which?

This problem explores the range of events in a sports day and which ones are the most popular and attract the most entries.

Build a mini eco-system, and collect and interpret data on how well the plants grow under different conditions.

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

In a league of 5 football teams which play in a round robin tournament show that it is possible for all five teams to be league leaders.

Use the information about the ducks on a particular farm to find out which of the statements about them must be true.

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do. . . .

Written for teachers, this article discusses mathematical representations and takes, in the second part of the article, examples of reception children's own representations.

This article for teachers describes an activity which encourages meaningful data collection, display and interpretation.

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

Investigate how avalanches occur and how they can be controlled

Design and test a paper helicopter. What is the best design?

In the ancient city of Atlantis a solid rectangular object called a Zin was built in honour of the goddess Tina. Your task is to determine on which day of the week the obelisk was completed.

Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?