Substitution and Transposition all in one! How fiendish can these codes get?

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

Does a graph of the triangular numbers cross a graph of the six times table? If so, where? Will a graph of the square numbers cross the times table too?

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

Find the frequency distribution for ordinary English, and use it to help you crack the code.

Here is the start of a six-part challenge. Can you get to the end and crack the final message?

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

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 two sets of data to find out how many children there are in Classes 5, 6 and 7.

Investigate how avalanches occur and how they can be controlled

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?

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?

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?

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

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

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

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

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

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

Statistics problems at primary level that require careful consideration.

Statistics problems for primary learners to work on with others.

Statistics problems for inquiring primary learners.

How well can you estimate 10 seconds? Investigate with our timing tool.

Statistics problems at primary level that may require resilience.

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.

Have you ever wondered how maps are made? Or perhaps who first thought of the idea of designing maps? We're here to answer these questions for you.

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

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

Which countries have the most naturally athletic populations?

Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.

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.

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

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

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.