McQueen won a silver medal in the triples, a silver medal in the fours and a bronze medal in the team event (Leonard Trophy) at the 1980 World Outdoor Bowls Championship in Melbourne.[3] He was capped 69 times outdoors for Scotland from 1967 until 1989.[4]
McQueen bowled indoors for the Blantyre Miners' Welfare Indoor Bowling Club and the Lanarskhire IBC and in 1983 set a Scottish record of earning 50 indoor caps.[5] He would go on to make 21 appearances outdoors and 69 indoors for Scotland.[6]
He was given the nickname 'Machine McQueen' by the legendary David Bryant due to his resilience on the bowling greens. By profession he was foreman.[1] He was posthumously inducted into the Scottish Indoor Bowls Hall of Fame in 2016.[7]
He died at his home in Dalserf in November 1993.[6]