Pease grew up in England and joined the British Army as a young man, serving in India, Rhodesia and Egypt. After demobilisation he emigrated to North America, eventually settling in Toronto, Canada, where he worked as a commercial artist. He took up motorsport in the late 1950s.
Pease accumulated wins and trophies across regional and national championships for close to thirty years, competing in a variety of machinery including an MG A, an MG B and a Lotus 23-Ford. Driving a supercharged MG B in club racing, he collected regional and major class titles across Canada throughout the 1960s. In 1965 he was invited by BMC to drive a works MG B 1800 at the 12 Hours of Sebring, co-driving with American Brad Picard; they finished sixth in class and 32nd overall. He was also involved in getting the Canadian Automobile Sport Clubs to permit sponsors' names on the sides of racing cars, a reform that opened the door for professional sponsorship in Canadian racing. Pease was inducted into the Canadian Motorsport Hall of Fame in 1998.
Pease entered three Formula One World Championship rounds, all Canadian Grands Prix, driving an Eagle Mk1 powered by a Coventry Climax straight-four engine that was already significantly outdated by the time of his first appearance.
Pease made his Formula One debut at Mosport Park on 27 August 1967, close to his 46th birthday. Castrol — a sponsor of his Canadian sportscar career — funded the entry and purchased a year-old, yellow-painted ex-Dan Gurney Eagle T1G-Climax for him. Mosport was a circuit Pease had been involved in designing. He qualified 15th of 17 starters, 7.7 seconds off Jim Clark's pole time in the Lotus 49. He was still running at the finish but was not classified, having completed 43 fewer laps than winner Jack Brabham, primarily due to recurring battery problems.
Castrol re-entered Pease with the same Eagle-Climax at the 1968 Canadian Grand Prix at Mont-Tremblant, near St. Jovite, Quebec. He set a qualifying time well below the pace of the field but failed to start due to engine problems, recording a DNS.
Pease's final Formula One entry came at the 1969 Canadian Grand Prix at Mosport Park, now entered by John Maryon. His Eagle Mk1 still used a 2.7-litre Coventry Climax four-cylinder engine, by then hopelessly uncompetitive against the modern 3-litre Ford Cosworth DFV units. He qualified 17th of 20 starters, 11.1 seconds off poleman Jacky Ickx's time and 5.6 seconds slower than the next car ahead, Pete Lovely's Lotus 49B-Ford.
During the race, Pease was involved in a series of incidents while being lapped by frontrunners. On lap 1 he made contact with Silvio Moser's Brabham BT24-Repco, sending it off the track. He then touched wheels with Jean-Pierre Beltoise's Matra MS80-Ford. A subsequent swerve in front of race leader Jackie Stewart — in the second Matra — nearly forced Stewart to take evasive action. Stewart's team owner Ken Tyrrell protested to the race officials. Pease was shown the black flag on lap 24, having completed 22 laps while the leaders had already reached 46. He was formally disqualified, the official reason recorded as "insufficient speed" — making him the only driver in Formula One World Championship history ever removed from a race for going too slowly.
After his Formula One appearances, Pease continued racing in Formula A (later renamed Formula 5000), driving a Lola T140-Chevrolet for team John Maryon International. He subsequently competed in vintage car events well into his seventies. He died on 4 May 2014 at his home in Sevierville, Tennessee, aged 92, survived by his wife Elaine, daughters Vicky, Helen and Wendy, and granddaughters Brianna, Alexis and Niki.