Supported and encouraged by his father Mashukul, Hoque first developed an interest for motor racing at the age of five He began his racing career at the age of eight at the Daytona Manchester karting track, where he was spotted by Daytona management during arrive and drive sessions.
[4] In 2009, he finished his first season in the Formula Kart Stars championship in fourth place, making him the highest ranked rookie.
[7] In the same year, he finished eighth overall in the Super 1 British Championship, again being the highest ranked rookie in the competition.
[1][2] In July 2011, Hoque entered into talks with Ricky Flynn after attending the WSK Euro Series at the Zuera circuit in Zaragoza, Spain.
He travelled with the RFM team to compete in the International Winter Cup at Garda, Italy in February 2012.
[21] In November of that year, he made his single-seater racing debut at the 2014 BRDC Winter Series Championship with the HHC Motorsport squad.
[23] In January 2015, Hoque joined the Chipping Norton-based Sean Walkinshaw Racing (SWR) team for his first full season in the BRDC Formula 4 Championship.
[3][14][22][23][24][25] In May of that year, Hoque finished third position to score his first podium success in the Duo BRDC Formula 4 Championship at Rockingham Motor Speedway.