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?
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?
If you are a teacher, click here for a version of the problem suitable for classroom use, together with supporting materials. Otherwise, read on... This problem explores the same ideas as Charting Success.
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:
Baskets made (o) and missed (x) in the fourth quarter of a basketball match
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Finishing Scores of top ten athletes in Olympic heptathlon
Shots on and off target for one team in a football match