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?

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?

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. . . .

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

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

Making a scale model of the solar system

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

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

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?

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

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

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

Investigate how avalanches occur and how they can be controlled

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.

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

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

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

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?