## mathematics in sport

This teacher package brings together all our articles that have to do with sport, from cricket to football and from the sport itself to sporting architecture and infrastructure.

In many sports a particular tactical conundrum arises. The team captain has to choose the best order in which to use a group of players or set-plays in the face of unknown counter choices by the opposition. Do you want to field the strongest players first to raise morale or play them last to produce a late run for victory? John D. Barrow shows that randomness holds the answer.

Renowned cosmologist and mathematician John D. Barrow has turned his attention to rowing, with intriguing results. As others did before him, Barrow noticed that the force generated by a rower in a boat has two components: one drives the boat forward and one to the side. Since the sideways motion represents wasted effort, rowers should be positioned in the boat so that it is minimised. So what exactly is the ideal positioning of rowers, the ideal *rig*?

A new mathematical analysis of team tactics predicts a Spanish win in Sunday's FIFA World Cup final and also sheds some light on why England were trashed by Germany.

On May 22nd 2009 the English Premier league had one more match day ahead, with West Bromwich Albion at the bottom of the league and Manchester United at the top, sure to remain there. Taking up a challenge from a BBC radio programme, **David Spiegelhalter**and **Yin-Lam Ng** used their statistical finesse to predict the outcome of the last matches — and they were 90% correct. Find out how they did it.

**Ben Evans**explains how maths is used to build this car.

**Andy Green**, Royal Air force pilot and Oxford maths graduate, is gearing up to break his own land speed record in Bloodhound SSC, a supersonic car designed to reach speeds of up to 1000mph. He tells

*Plus*about the challenges — and the maths — behind this engineering adventure.