Career
A middle-order batsman, Alexander made his first-class debut for South Australia in the 1925-1926 season a few weeks after turning 18. In his second match, against the touring New Zealanders, he scored 130 and 34 not out. In his next match, which was his first in the Sheffield Shield, he scored 133 against Victoria.
In the 1926-1927 season he scored 55 and 104 against New South Wales, and he was selected to play for The Rest against Australia at the end of the season.
He scored 328 runs at an average of 32.80 in 1927-1928, and was selected in a 13-man squad to tour New Zealand at the end of the season. He played in four of the six first-class matches on the tour, including one of the two against New Zealand, but apart from an innings of 95 against Auckland he was unsuccessful.
After a few matches in 1928-1929 he played no more first-class cricket. He was only 21 when he played his last match.