Football Crazy Hockey Mad

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.

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 this?

1 Step 2 Step

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?

Charting Success

Stage: 3 and 4 Challenge Level:

Some say every picture tells a story... and that a picture is worth a thousand words...

Below are some graphs, charts and diagrams created by sports statisticians, trainers or competitors to help them to analyse performance, inform training programmes or improve motivation.

For each diagram, consider the following questions:

What information can you deduce from each diagram?
Are the diagrams effective in communicating the information?
Are there any diagrams where you think the data are not represented clearly or effectively? How could you improve them?
Are there any diagrams where information is missing? Can you think of a way of presenting the data that would include that information in a clear and effective way?
Who might have created each diagram, and for what purpose do you think they created it? Can you think of others who might be interested in using the same data in a different way?

Scatter plot showing Federer's first serve landing points