Born in Rotherham, Cook made his racing debut in 2008 in the Ginetta Junior Winter Championship, taking one podium in three races. For 2009, he entered the full Ginetta Junior Championship season, driving for TJ Motorsport, and won his first race in the series, having qualified on pole, at the Brands Hatch track. He won the second race at Brands Hatch, and later followed up these results by winning both races at Snetterton Circuit, and repeating the feat at Knockhill Circuit. However, these results were marred by a 20-point penalty for violating driving standards at Oulton Park. With six races left, Cook was leading the championship from Aaron Williamson and Sarah Moore, and a victory from the second race at Silverstone Circuit extended his lead. At the end of the season, however, Cook finished second overall, with Moore becoming the series' first female champion by 16 points. In August of that year, Cook had joined the Motor Sport AASE programme, part of the MSA's Academy structure.
2010–2011
In 2010, Cook joined the British Formula Ford Championship, signing for Getem Racing, whom were entering a Mygale SJ07. Finishing seventh on his debut, in the first race at Oulton Park, and his first podium came at the Zandvoort Circuit, before his season came to a premature close due to funding issues, resulting in Cook finishing ninth overall. Cook did, however, enter that year's Formula Ford Festival, and got through to the semi-final, where he retired on the first lap. Following this season, he was the first driver to be awarded the MSA's Young Driver of the Year award. Cook returned to the series in 2011 with Jamun Racing, signing a one-round deal for the season opener at Silverstone, with his best result a seventh place in the second race of the weekend. Following this event, however he remained with the team until the Zandvoort round, and finished the season in 12th place. He also competed in two of the four Formula Ford EuroCup events, with a best result of eighth from race one of the second round at Zandvoort.
2012–2013
For 2012, Cook remained in the British Formula Ford with Jamun Racing, with the series using the new Ford Ecoboost enginefor the first time. This proved to be Cook's most successful season in the series, with his first win coming in the second round of the season opener at Brands Hatch. His second win came at the second race of the season finale at Donington Park, where he secured a second-place finish the championship. In addition to the two victories, Cook finished on the podium 12 more times, with three fastest laps. During the season, Cook also competed in the Zandvoort round of the Formula Ford EuroCup, with a single victory coming at the third race. In 2013, Cook made the switch to the Protyre Formula Renault Championship series, driving for Hillspeed Racing, a series which his aunt's brother, David, had won in 1996. His debut in the series came at Donington Park, where he finished 12th in race one, and 4th in race two. A hat-trick of podiums followed at the second round, held at Snetterton Circuit, resulting in Cook leaving the track in second place overall in the championship standings. He took two more podiums at Thruxton, and, apart from two retirements, did not finish below sixth after that weekend. At Silverstone, in the first race of the day, he took second, and his first fastest lap in the season; as a result, he finished the season in fifth place, with 292 points. His performances in the series saw him named as a BRDC Rising Star in August. Following the end of the Formula Renault season, Cook was selected to drive for Hillspeed in the BRDC Formula 4 Winter Championship. On the third race of his debut weekend, held at Snetterton, he started from pole, and won the race. He followed this with another win in the following race, and two podiums at Brands Hatch, on his way to securing second in the championship. At the end of the season, he was named in The Checkered Flag's Top 10 UK Single-Seater drivers list.
