Simpson began karting at the age of 8 and won several regional and national karting titles in South Africa. In 2000 Simpson became the youngest ever driver to win the South African Formula Ford Championship, at the age of 16. In 2001 Simpson left his native South Africa to compete in the Slick 50 Formula Ford Zetec Championship in the UK. Despite poor funding the youngster was highly impressive beating factory teams on a number of occasions and culminating in being awarded the Motorsport News Race Ace award for his performance at Donington Park. He ended the season with a stirring performance in atrocious conditions at Brands Hatch in the Formula Ford Festival. For 2002 Simpson was signed by Durango to compete in the European Formula Renault Championship and Italian Championship, however his season was dogged by bad luck and a serious lack of testing. Just weeks before the 2003 season got underway, a potential sponsor pulled out, leaving Simpson with no alternatives and thus without a drive for the season. Simpson instead concentrated on his fitness and continued looking for the right drive. For 2004 Simpson joined Richard Dean’s Team JLR, with which he contested the prestigious British Formula Renault Championship. He finished second in the Winter Series with two wins and five podiums to his name.
2005–2008
Simpson was brought in to race in the inaugural A1 Grand Prix World Cup of Motorsport in winter 2005, helping A1 Team South Africa to a dismal 17th place in the series. His best result was a third place in the Feature Race in Dubai and he also achieved a fifth at his home event. Simpson also continued to drive for Team JLR in British Formula Renault. For 2006 he was signed to drive for Gelles Racing in the Champ Car Atlantic Series but he left the series after three races, with a best finish of 5th. Towards the end of the year he had a test with Champ Car World Series team Mi-Jack Conquest Racing and reportedly impressed the team with his performance. In 2007 he signed with Kenn Hardley Racing to compete in the Indy Pro Series. He struggled with the oval races on the series, but finished well on the road and street courses, recording a season best 3rd place finish at the Mid-Ohio Sports Car Course and finished 9th in the championship. Kenn Hardley Racing shut down at the end of the season and its assets were sold. He then enjoyed a number of very strong outings for the Creation/AIM LMP1 team in Europe and America before the 2008 recession resulted in the closure of the team and he was again left without a drive.