His loss in the semi-finals was to eventual champion Arthur O'Hara Wood, a fellow alumnus from his residential college, in four sets.

[2] In 1917 he was seconded to the Intelligence Corps and is credited with obtaining vital information from a German prisoner to avert a planned counter-attack.

Although he wasn't able to reach the final four again he was a doubles semi-finalist on four occasions, with Timothy Fitchett in 1924, Garton Hone in 1925 and Richard Schlesinger in both 1926 and 1929.

The 1922 season saw Wertheim called up to the Australian team for the International Lawn Tennis Challenge (Davis Cup) and he played in a quarter-final tie against Czechoslovakia in London.

[7] He featured in the doubles, with Gerald Patterson, which they won in straight sets, over Karel Ardelt and Friedrich Rohrer.

[12] A stock broker, he co-founded a brokerage business called Williams & Wertheim in Collins Street.

He recovered well enough to return to work but on 12 October 1933 died at a hospital in East Melbourne after collapsing in the city.