Sir Francis Whichcote, 3rd Baronet (c.1692-1775), of Quy Hall, Cambridgeshire and Aswarby, Lincolnshire, was an English politician who sat in the House of Commons from 1718 to 1722. Whichcote was the eldest surviving son of Sir Paul Whichcote, 2nd Baronet and his wife Jane Gould, the daughter and coheiress of Sir Nicholas Gould, 1st Baronet. He was admitted at St Catharine's College, Cambridge in 1708, at Trinity Hall, Cambridge in 1711 and at the Inner Temple in 1714. In 1717, he married Mary Banks, the daughter of Joseph Banks of Revesby Abbey, Lincolnshire. He succeeded his father in 1721, inheriting Quy Hall, Cambridgeshire.