In only his seventh Trinity game, he was in the line up for the 1974 Yorkshire Cup Final, only to suffer defeat by second division, Hull Kingston Rovers, 13–16 at Headingley, Leeds on 26 October 1974.
His displays for Trinity and two more appearances for Wales, in 1979, got him noticed and the likeable Skerrett deservedly earned a place on the 1979 Great Britain touring squad to Australia.
Prior to the tour, he achieved an ambition of playing at Wembley as Trinity lost to Widnes in the RL Challenge Cup Final, earning great praise with a man of the match performance in the 9-7 semi-final victory over St. Helens.
Trevor Skerrett played at prop in Hull FC's 14–14 draw with Widnes in the 1982 Challenge Cup Final during the 1981–82 season at Wembley Stadium, London on Saturday 1 May 1982, in front of a crowd of 92,147, and played at second-row in the 18–9 victory over Widnes in the 1982 Challenge Cup Final replay during the 1981–82 season at Elland Road, Leeds on Wednesday 19 May 1982, in front of a crowd of 41,171.
He gained an extra six GB caps and represented Yorkshire three times, whilst at the Boulevard He played in Hull FC's 12–14 defeat by Featherstone Rovers in the 1983 Challenge Cup Final during the 1982–83 season at Wembley Stadium, London on Saturday 7 May 1983.
[3] In addition to these Test Matches, Skerrett played at second-row in Great Britain's 7–8 defeat by France in the friendly at Stadio Pier Luigi Penzo, Venice on Saturday 31 July 1982.