Beauman ran a Cooper 500 for two years in Formula Three before switching to sports car racing, and took on Formula One in 1954 with a Connaught A-Type, sponsored by wealthy privateer Sir Jeremy Boles.

He finished eleventh in the British Grand Prix at Silverstone.

He achieved some success in Formula Two, with several third and fourth-place finishes and a second place in the Madgwick Cup at Goodwood.

In 1955, the weekend before the British Grand Prix, he was killed when he crashed his Connaught during the Leinster Trophy race in Wicklow.

He had set the fastest time of 82.94 mph (133.45 km/h) on his first lap but crashed near the Beehive pub on his second and was killed instantly.