Oswald was a human genius with an IQ so high that it could not be measured. (COMIC: Children of the Evil Eye [+]Gerry Haylock, Polystyle comic stories (Polystyle Publications and Ltd., 1973).)
Luke Rattigan, another human genius, had an IQ of 174, which was considered "enormous". (TV: The Sontaran Stratagem [+]Helen Raynor, Doctor Who series 4 (BBC One, 2008).)
When Miss Evangelista was uploaded to the Library Data Core, she theorised that a decimal point had shifted in her IQ. (TV: Forest of the Dead [+]Steven Moffat, Doctor Who series 4 (BBC One, 2008).) Before then, she had been pleased to have the IQ of a plankton. (TV: Silence in the Library [+]Steven Moffat, Doctor Who series 4 (BBC One, 2008).)
Rosemary Kizlet, using the technology of the Great Intelligence, had a tablet that was able to "hack" into, among other things, peoples' IQs. (TV: The Bells of Saint John [+]Steven Moffat, Doctor Who series 7 (BBC One, 2013).)
Eve Morris had an IQ of 145. (AUDIO: The Gathering [+]Joseph Lidster, Main Range (Big Finish Productions, 2006).)
Liz Shaw had an IQ of over 200. (PROSE: The Devil Goblins from Neptune [+]Martin Day and Keith Topping, BBC Past Doctor Adventures (BBC Books, 1997).)
Melanie Bush had an IQ of 162. (PROSE: Business Unusual [+]Gary Russell, BBC Past Doctor Adventures (BBC Books, 1997).)