Undergraduate · Imperial Pure Mathematics

Imperial Pure Mathematics: a proof-led specialisation of the Mathematics BSc

Imperial's Mathematics (Pure Mathematics) BSc is a separate UCAS course within the Department of Mathematics. It asks for A* in both Mathematics and Further Mathematics, expects the TMUA and does not use interviews as part of its regular process. The decision for an applicant is whether to commit to a pure specialisation, with algebra, analysis, topology and probability theory, rather than the general degree or an applied or computational route.

Official information · last verified for 2027 entry

What Imperial asks for in Pure Mathematics

Taken from Imperial's Mathematics (Pure Mathematics) BSc course page and read on 1 November 2026. For a normal 2028-entry application, made in 2027, every requirement below is last verified for the previous cycle and may change; Imperial's 2028-entry requirements and dates are awaiting publication.

A three-year BSc, G125

Delivered by the Department of Mathematics; Imperial describes a pure specialisation within the Mathematics degree.

A*A*A with A* in Mathematics and Further Mathematics, or IB 39

The A-level standard is A*A*A including A* in Mathematics and A* in Further Mathematics. The IB standard is 39 points with 7 in Mathematics at Higher Level.

The TMUA is expected

Imperial says all applicants should take the Test for Mathematics for University Admission as part of the application.

No regular interview

Imperial says it does not currently use interviews as part of its regular admissions process.

Pure topics named

Algebraic Number Theory, Functional Analysis, Topology and Probability Theory are Imperial's examples of the specialisation.

Official sources

Read on 1 November 2026 on Imperial's Mathematics (Pure Mathematics) BSc course page, which describes 2027 entry. Imperial's Department of Mathematics pages, the module descriptions beyond the course page, fees and the 2028-entry values were not read, and no other university's degree was read for this guide and are not stated.

The degree

Algebra, analysis and structure

Imperial says the course covers the key areas of mathematics, including algebra, analysis, probability and statistics, and explores the logical structure of arguments and the proper definition of mathematical objects. The Pure Mathematics specialisation adds Algebraic Number Theory, Functional Analysis, Topology and Probability Theory, and students can choose from over 50 specialised modules. The first-year core runs from Analysis 1 and Linear Algebra and Groups to an Individual Research Project. This guide does not describe individual modules beyond naming them.

Is it the right degree?

Pure Mathematics against the other Imperial mathematics routes

Imperial lists these as separate UCAS courses, and the entry rules look alike, so the question is the specialisation. Avandy's comparison is general.

Choose Pure Mathematics if

you enjoy proof, structure and abstraction and want those named topics to anchor the later years.

Look at the general Mathematics BSc if

you want to keep the choice of specialisation open. Avandy's Imperial Mathematics guide covers it.

Look at an applied or computational route if

your interest is modelling, physics or computation. Avandy's Imperial Applied Mathematics and Mathematical Computation guides cover them.

Entry rules

A*A*A with Further Mathematics, IB 39 and the TMUA

A-level applicants need A*A*A including A* in Mathematics and A* in Further Mathematics; IB applicants need 39 points with 7 in Mathematics and 6 in another subject at Higher Level. Imperial says all applicants should take the TMUA. It does not currently use interviews as part of its regular admissions process. This page states no test scores.

A decision framework

Three questions before you commit

This is Avandy's own framework, not Imperial's.

Do you enjoy proof and abstraction for their own sake?

The specialisation is built around them.

Is A* in Further Mathematics realistic for you?

It is a stated condition of the minimum entry standard.

Are you comfortable with a compulsory mathematics test?

Imperial says all applicants should take the TMUA.

Planning for 2028 entry

Planning for 2028 entry: what carries over and what is awaiting publication

Applying for 2028 entry means applying in 2027, under rules Imperial has not yet published for that cycle. Each item below carries one of two labels. Last verified for 2027 entry means Imperial published it for the previous cycle and it may change. Awaiting publication for 2028 entry means Imperial has not yet published it.

Grades, subject requirements, the test position and the interview arrangements: last verified for 2027 entry

These are the best guide to what to prepare. Imperial has not confirmed them for 2028 entry.

The UCAS deadline, test windows and interview dates: awaiting publication for 2028 entry

Check Imperial's course page for the 2028-entry values when they appear.

What to do now

Confirm Mathematics and Further Mathematics, read the course page's module lists and plan TMUA preparation.

Support

Independent support with course choice and preparation

Avandy provides independent academic and admissions support. It is not affiliated with Imperial College London or any of its colleges or departments. Preparation sits within the Avandy Trinity Advisory Model: a Strategic Admissions Consultant, a PhD-level Academic Mentor and a Subject-specific Tutor, working to the actual requirements of each course. Support here means course-fit advice, subject mentoring and ethical preparation; Avandy gives no scores or probabilities and does not supply interview or test questions. No outcome is promised.

Questions

Questions applicants ask

What does Imperial Mathematics (Pure Mathematics) require?

A*A*A at A level including A* in Mathematics and A* in Further Mathematics, or 39 IB points with 7 in Mathematics at Higher Level, in Imperial's wording for 2027 entry.

Is the TMUA required?

Imperial says all applicants should take it as part of the application, and that it expects most offers to go to applicants who have taken it.

Is there an interview?

Imperial says it does not currently use interviews as part of its regular admissions process.

How does it differ from Imperial's general Mathematics BSc?

It is a separate UCAS course (G125). Imperial describes a Pure Mathematics specialisation with named topics such as Algebraic Number Theory and Topology.

Do I need Further Mathematics?

Imperial lists A* in Further Mathematics in the A-level standard, and says it can make special cases for schools that do not offer it, often guided by TMUA performance.

Are these the rules for 2028 entry?

No. They are Imperial's wording for the 2027 application cycle. Check the course page again when Imperial publishes its 2028-entry requirements.

Students and families

Talk to us about Imperial Pure Mathematics

Tell us about the student's curriculum, their Further Mathematics, how they weigh proof-based mathematics against applied or computational routes and the TMUA, the universities on the list, and the intended year of entry. A senior adviser will review the academic profile before recommending how to prepare.