Mathematics

Prof Tom Koerner teaching at a blackboard

Mathematics at Cambridge gives you the opportunity to develop your mathematical skills to the highest levels. The course offers a wide range of subjects, from abstract logic to black holes.

Lecture courses are taught by some of the world’s top mathematicians, and you will receive both unparalleled learning support and outstanding pastoral care.

  • UCAS Code: G100
  • Campus Code: 4
  • Duration: 3-4 years
  • Places per year: 5-7

Entry requirements

Minimum offer level

A-Level: A*A*A

IB Diploma: 42 points, with 776 at Higher Level

Please also read our Entry Requirements page.

STEP: All offers include certain grades in STEP Mathematics – this is most commonly 1,1 in Papers II and III.

STEP Flexible Offer Scheme: For A-Level applicants who meet the eligibility criteria for the August Reconsideration Pool, we would normally make an offer which will be met if they achieve either A*A*A with at least grade 1 in two STEP papers or A*A*A* with at least grade 1 in one of the two STEP papers taken.

Subject requirements

You will need A levels/IB Higher Levels (or the equivalent) in:

  • Mathematics
  • Further Mathematics (A level only)

If you’re studying IB Higher Level Mathematics, we ask for Analysis and Approaches for this course.

If you’re applying to Mathematics with Physics, you must have taken the Mechanics section of Further Mathematics or have taken A level Physics in addition to Mathematics and Further Mathematics.

We will normally ask for an A* in Further Maths.

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Why Trinity Hall?

As a Mathematician at Trinity Hall, you’ll join a community that combines a strong sense of tradition with curiosity. The College even has its own prime number, a 1350-digit figure created to mark its founding year, which forms an image of the coat of arms when arranged in a grid. You study in a place shaped by leading mathematicians, including long-standing Fellow Professor Thomas W Körner, whose writing has inspired generations of students to take pleasure in the subject.

You’ll be supported by Directors of Studies who guide you through the course, while the wider College environment encourages discussion and collaboration. The Stephen Hawking Society, named after the former Trinity Hall PhD student, brings students together through talks and events to explore mathematical ideas beyond your course. Within College, you can also engage with historic mathematical works such as a copy of Newton’s Principia, linking your studies to a longer intellectual tradition.

Do your best not to be intimidated by the application process, it’s always worth a shot and will encourage you to engage with your subject in new and interesting ways.

— Alex, Trinity Hall student

Our academics

Mathematics at Cambridge

Admissions process

Written work

None required.

Admissions assessment

All applicants for Mathematics are required to take the Test of Mathematics for University Admission (TMUA) at an authorised assessment centre. You must register in advance for this test.

Please see the University’s admissions test page for more information.

Interviews

Two interviews of around 25 minutes, where you will work through maths problems.

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Last updated: June 2026 for 2027 entry