Rex Salisbury Woods MD, FRCS, (15 October 1891 – 21 September 1986) was a British track and field athlete, who represented Great Britain in three Olympic Games.
Rex Salisbury Woods was educated at Dulwich College. From there he won an exhibition to Downing College, Cambridge, where he excelled academically and gained a first class tripos and from where he won a senior university entrance scholarship to St George's Hospital. After graduating in medicine in 1916, he won a research scholarship at St George's. He fulfilled a number of house appointments at St George's and eventually became a surgical registrar at the hospital.
Rex Woods competed in the shot put for Cambridge vs. Oxford four times (1912–14, 1920) and was the winner on the last two occasions. His first attempt at the AAA Championships was in 1912 when he finished fourth. Woods first represented Britain at the shot putt at the Olympic Games whilst president of the Cambridge University Athletic Club. Standing 6'0" (182 cm) and weighing 172 lbs (78 kg), Woods was not large by later standards for a shot putter. He later became honorary treasurer of the Cambridge University Athletic Club from 1919 to 1939, and was chairman from 1939 to 1952. He won the AAA Championships shotput title in 1924 and 1926 and represented Great Britain at the Olympic Games in 1924 and 1928. His last appearance at the AAA championships was in 1928 when he finished second. During his involvement with athletics at Cambridge he managed the Oxford/ Cambridge athletic tours of the United States from 1925 to 1949. Aside from the University of Cambridge, he was also affiliated to the Achilles Club.
In other sport he came close to winning a rugby blue and he captained the public schools past and present rugby football team in 1919 and was a noted golfer even celebrating his 90th birthday by achieving a hole in one. Woods was also an excellent quarter-miler and in 1913 he beat the 1912 Olympic runner Ernest Haley.
The First World War interrupted his medical career at St George's but he became a captain in the Royal Army Medical Corps and was twice mentioned in dispatches whilst serving in the British Expeditionary Force. He again served in the RAMC during the second world war at the rank of major and surgeon specialist to the East African Command.