101 Mathematical Projects by Brian Bolt, David Hobbs

By Brian Bolt, David Hobbs

This booklet for academics indicates tasks which cater for a variety of techniques and talents, and hyperlinks with different curriculum matters.

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Can you suggest alternative systems which are fairer? 2 Cricket In cricket it is the total number of runs which matter at the end of the match for short matches, but the longer matches so often end in unsatisfactory draws. Can you suggest a better alternative? 3 Football Football matches are frequently low scoring and depend on chance goals against the run of play. How could corners and free kicks, for example, be used in a scheme to produce a fairer result? In the football league how might away success be better awarded?

B. ) 6 Specifications for different balls Try to find the regulations which apply to different kinds of ball. References B. Bolt, Even More Mathematical Activities, Activity 91 (Cambridge University Press) C. B. Daish, The Physics of Ball Games (English Universities Press) Measurement 29 "1 "1 • Jumping potential The standing broad jump Measure from take-off line -• It can take many years to develop a good high jump or long jump technique, but it is possible to do a simple experiment to test a person's spring and go some way to predicting their potential.

9 How much movement is there in a league table? Do teams which are in the bottom part of the table early in the season stay there? 3 How variable are football scores? 10 Does attendance depend on the position in the league table? 4 How variable is the mean score of the teams in a league each week? e. (score of winning team) — (score of losing team)? 6 Is there much difference in the scores in each division? For example, do teams in the First Division score more goals than teams in the Fourth Division?

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