Another notable was Philippa Fawcett. She was educated at Newnham College, Cambridge which had been co-founded by her mother. In 1890, Fawcett became the first woman to obtain the top score in the Cambridge Mathematical Tripos exams. Her score was 13 per cent higher than the second highest score. When the women's list was announced, Fawcett was described as "above the senior wrangler", but she did not receive the title of senior wrangler, as only men were then ranked, with women being listed separately. The results were always highly publicised, with the top scorers receiving great acclaim. Women had been allowed to take the Tripos since 1881, after Charlotte Angas Scott was unofficially ranked as eighth wrangler.

The strain of preparing for Tripos could lead to mental breakdown. Students found it necessary to build up their physical endurance. It was noted that "virtually every high wrangler (for whom records exist) participated in some form of regular physical exercise to preserve his strength and stamina."[1]

Obtaining the position of a highly ranked Wrangler created many opportunities for the individual's subsequent profession. They would often become Fellows initially, before moving on to other professions, such as law, the Church, or medicine.[2] Throughout the United Kingdom and the British Empire, university mathematics professors were often among the top three Wranglers.[2]

The order of Wranglers was widely publicised and shaped the public perception of mathematics as being the most intellectually challenging of all subjects. According to Andrew Warwick, author of Masters of Theory, the term 'Senior Wrangler' became "synonymous with academic supremacy".

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Top marks in the Cambridge mathematics exam did not always guarantee the Senior Wrangler success in life; the exams were largely a test of speed in applying familiar rules, and some of the most inventive and original students of Mathematics at Cambridge did not come top of their class. Bragg was third, Hardy was fourth, Sedgwick fifth, Malthus was ninth, Bertrand Russell was seventh, Keynes was 12th, and some fared even worse: Klaus Roth was not even a wrangler.

Joan Clarke, who helped to break the Nazi Enigma code at Bletchley Park, was a Wrangler at Cambridge and earned a double first in mathematics, although she was prevented from receiving a full degree based on the university's policy of awarding degrees only to men.[3] That policy was abandoned in 1948.

The present Astronomer Royal, Martin Rees, a wrangler, would go on to become one of the world's leading scientists, while also holding the posts of Master of Trinity College (Cambridge) and President of the Royal Society.[clarification needed]

Students who achieve second-class and third-class mathematics degrees are known as Senior Optimes (second-class) and Junior Optimes (third-class). Cambridge did not divide its examination classification in mathematics into 2:1s and 2:2s until 1995[citation needed] but now there are Senior Optimes Division 1 and Senior Optimes Division 2.[citation needed]

Vivie Warren, the headstrong heroine of George Bernard Shaw's Mrs. Warren's Profession (1893) and daughter of the play's infamous madam, tied with the Third Wrangler, settling for that place because she recognized that "it was not worth [her] while to face the grind" because she did not intend an academic career for herself.