Pasma signed up for his first season in British F4 in 2017 for Carlin alongside Jamie Caroline, Logan Sargeant and Lucas Alecco Roy. 5 points finishes along with 2 podiums saw Pasma have a successful start to the season, however a extremely serious accident occurred with the Finn and JHR DevelopmentsdriverBilly Monger on lap 4 of the 3rd raceDonington Park. Pasma slowed along the Schwantz Curve leaving Monger unsighted causing him to smash into the back of the Carlin. After a long extraction process to get Monger out of the car it was announced both drivers, the crash meant Monger had both his legs amputated while Pasma stayed in the hospital overnight for examinations, he was released with no serious injuries. Pasma returned for the next round at Thruxton where he finished 13th in the first race and 7th in the two following, a couple more podiums and a handful of points scoring races saw Pasma end the season in 8th place. He returned for the 2018 season but jumping ship to Arden International this year. The season got off to an okay start as he battled Johnathan Hoggard for the lead of the second race and crossed the line 2nd to get his first podium of the year however both himself and Brit jumped the start meaning they finished 5th and 6th respectively, Sebastian Priaulx took the victory. His first podium eventually came as he once again battled Johnathan Hoggard who beat him off the line from pole in the final race at Donington, a safety car caused late pressure from Kiern Jewiss however the Finn crossed the line second. Pasma won the first race of his career at the first race Rockingham where he dominated the field getting Pole, the fastest lap and the race victory ahead of Red Bull duo Hauger and Doohan. Pasma finished the season with 2 wins, 11 podiums and 315 which placed him in 6th position.
Pasma was the only Finn on the grid in 2018-19 for the MRF Challenge. For the second time that weekend, Pasma took reverse grid pole at the 4th race in Dubai to which he converted into his first of 3 wins, Belgian Max Defourny put pressure on Pasma but fell short by half a second in the end. Pasma finished on the podium at least one in all 3 rounds, the most being 3 podiums in Bahrain where he stepped on every step of the podium. Pasma fell short of the title by 94 points, inaugural W Series champion Jamie Chadwick won the title, followed by Defourney.