While Blomqvist initially started with Swedish license, he takes part since August 2010 with British license on racing. His father is the World Rally Champion Stig Blomqvist.
Blomqvist began his motorsport career in karting in 2003 and was active until 2008 in this sport. In 2009 he moved to the Formula racing and was a victory and a total of five podium finishes third in the Swedish Formula Renault. He was also third in the NEZ Formula Renault. Then Blomqvist took part in the winter series of the British Formula Renault. He started for Fortec Motorsport in two races, winning both and each scored the fastest lap of the race. In the standings, he was seventh. With his victories, he was at the age of 15 years to the hitherto youngest winner in the British Formula Renault.
In 2010 he joined for Fortec Motorsport in the British Formula Renault. First Blomqvist started with Swedish license. After the first half of the season Blomqvist changed his license and went from that point on with a British license. A weekend later, his first victory came in the championship. With three victories and a total of 12 podium finishes in 19 races he won the championship title with 465 to 459 points ahead of Lewis Williamson. At the age of 16 years and 313 days Blomqvist was the hitherto youngest champion of the British Formula Renault. He also began as a guest driver in a race of the Formula BMW Pacific and came in third place finish.
2011 moved to Blomqvist Performance Racing in the German Formula 3 Cup. Already in his debut race, he scored his first podium placing as the runner-up. In the rest of the season, his first victory followed. On the seventh race weekend he had at the Lausitzring a serious accident in which he broke the third lumbar vertebra. His season was therefore terminated prematurely. In the overall standings, he finally was in sixth place. 2012 Blomqvist was supported by McLaren. Blomqvist was in ma-con Motorsport 2012 a cockpit in the Formula 3 Euro Series and was also entitled to points in the European Formula 3 Championship. Blomqvist was charged with two third places for best results seventh in the Formula 3 Euro Series. In the European Formula 3 Championship, he also reached the seventh place. Here was a second place his best result. In addition, Blomqvist 2012 was active for Euro International in German Formula 3 Cup and came into use when it admitted his involvement in the Formula 3 Euro Series. Blomqvist won five races and was behind the overall winner Jimmy Eriksson, the driver with the most wins. In the overall classification, he finished fifth.
2013 received Blomqvist at Euro International a cockpit in the European Formula 3 Championship. In addition, he was admitted to the funding of Red Bull. Blomqvists best results were three third places. He finished the season as the year in seventh place overall. After the end of the season Red Bull finished his promotion.
Blomqvists father Stig is a rally driver, who won the 1984 World Rally Championship.
- 2003-2008: Karting
- 2009: Swedish Formula Renault ( 3rd place)
- 2009: NEZ Formula Renault ( 3rd place)
- 2009: British Formula Renault Winter Series (No. 7)
- 2010: British Formula Renault (Master)
- 2011: German Formula 3 ( 6th place)
- 2012: Formula 3 Euro Series (No. 7)
- 2012: European Formula 3 ( 7th place)
- 2012: German Formula 3 ( 5th place)
- 2013: European Formula 3 ( 7th place)