Looking at the 2008 Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

A farmer has a flat field and two sons who will each inherit half of the field. The farmer wishes to build a stone wall to divide the field in two so each son inherits the same area. Stone walls are. . . .

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

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?

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

Guess the Houses game for an adult and child. Can you work out which house your partner has chosen by asking good questions?

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

A manager of a forestry company has to decide which trees to plant. What strategy for planting and felling would you recommend to the manager in order to maximise the profit?

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

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

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?

What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

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

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

This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?

Baker, Cooper, Jones and Smith are four people whose occupations are teacher, welder, mechanic and programmer, but not necessarily in that order. What is each person’s occupation?

Three teams have each played two matches. The table gives the total number points and goals scored for and against each team. Fill in the table and find the scores in the three matches.

Choose any three by three square of dates on a calendar page. Circle any number on the top row, put a line through the other numbers that are in the same row and column as your circled number. Repeat. . . .

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

Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

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

After some matches were played, most of the information in the table containing the results of the games was accidentally deleted. What was the score in each match played?

Simple models which help us to investigate how epidemics grow and die out.

This article explores the process of making and testing hypotheses.

Square numbers can be represented on the seven-clock (representing these numbers modulo 7). This works like the days of the week.

Which countries have the most naturally athletic populations?

Engage in a little mathematical detective work to see if you can spot the fakes.

These red, yellow and blue spinners were each spun 45 times in total. Can you work out which numbers are on each spinner?