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?

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

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

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

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

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

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

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.

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

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.

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

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?

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

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.

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.

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

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

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

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?

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?

Investigate how avalanches occur and how they can be controlled

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

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

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

Statistics problems for primary learners to work on with others.

Statistics problems for inquiring primary learners.

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

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.

Which countries have the most naturally athletic populations?

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

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

Statistics problems at primary level that require careful consideration.