Max' racing career, as is so often the case, began in Karts, the youngster (aged 10) spending two years in Cadet before stepping up to TKM. Progressing to JICA, where he was a regular on the podium, Max also took part in the Super 1 National Kart Championships.
At age 14, Max made the surprise switch to cars, dovetailing his 2005 karting season with the T Cars championship, a saloon car-based series based in the UK open exclusively to drivers between the ages of 14 and 17.
Finishing eighth in his maiden season (2005), he improved to runner-up in 2006, finishing three points behind (future F2 champ) Luciano Bacheta.
Max progressed to single seaters in 2007, the youngster making his debut in the second round of the British Formula Three championship with Mike Earle's Arena International. He was unable to take part in the first round of the series because he was below the required age of 16.
His best results were a brace of elevenths, in Bucharest and at Brands Hatch, while he also made a one-off appearance in the Star Mazda Championship, at Laguna Seca - though he was ineligible for points because he was a guest driver. The youngster also contested 1000km of Silverstone, with brother Tom for Arena, finishing sixth overall.
In 2008, Max switched to Hitech Racing and improved to tenth place in the F3 championship, taking pole at Monza and Rockingham, and scoring podium finishes at Oulton Park and Rockingham. He also contested the Macau Grand Prix and the Masters of Formula 3.
For 2009 he moved to Carlin scoring three pole positions in the first four races. As well as two wins in the Autodromo Internacional do Algarve in Portimao, Max added a second win in his final F3 race, at Brands Hatch.
Over the winter of 2009/2010, Max moved to the GP2 Asia Series, securing a seat with Barwa Addax, however, for the main series he joined Ocean Racing Technology, his best result being a fifth.
2011 saw Max rejoin Carlin as the British outfit finally made the move into GP2. He finished 22nd in the GP2 Asia series and 20th in the main series.
Remaining with Carlin for 2012, now with backing from the Marussia Formula One team, Max secured his first series podium finish in the feature race of the first round of the championship in Malaysia, and later his first pole position and race victory in the Hungarian feature race. Courtesy of some consistent points-scoring finishes throughout the season, Max finished the season in fourth, just 7 points behind third-place Esteban Gutierrez.
In November 2011, Max drove for Force India team in the Young Driver Test in Abu Dhabi. This was his second time in an F1 car having carried out a straight-line aerodynamic test for the team earlier in the year.
Having taken part in the Silverstone Young Driver Test, Max was appointed Marussia's testing and reserve driver for the second half of the 2012 season, starting from the Japanese Grand Prix. He subsequently took part in FP1 at the 2012 Abu Dhabi Grand Prix.
On December 18 it was announced that Chilton would race for Marussia in 2013, team boss John Booth describing him as "extremely capable".