概要
Mathematics at Imperial College London (UCAS code G100) is a three-year BSc or four-year MSci programme run by the Department of Mathematics, one of the largest and most research-active maths departments in Europe. Teaching covers pure mathematics, applied mathematics and statistics, with options in mathematical physics, finance and computational methods later in the course. Imperial requires the TMUA for Mathematics applicants and does not interview as part of standard selection.
なぜImperialでMathematicsを?
Imperial College London lists this course as Mathematics, and the UCAS course code is G100. The course modelled here is the three-year full-time BSc route.
Section 01
下のマップで自国をクリックすると、出願に必要な情報（受け入れられる資格、要求スコア、英語要件、現地の文脈）が表示されます。
International Applicants
Pick a highlighted country to see the admissions-test, score, and English-language requirements that apply for applicants from that country.
Section 02
| Qualification | Typical Offer | Key Requirements |
|---|---|---|
| A-Level | A*A*A | A* in Mathematics, A* in Further Mathematics, A in a third subject required. General Studies, Critical Thinking not accepted.Applicants made an offer must pass the practical endorsement in any science A-level that forms part of the offer. UCAS states Imperial can make special cases for students from schools that do not offer Further Mathematics A-level. |
| IB Diploma | 39 points | Higher Level Mathematics is required. Both Mathematics: Analysis and Approaches and Mathematics: Applications and Interpretation are accepted at HL, with Analysis and Approaches preferred. |
| Advanced Placement (AP) | Minimum of 3-4 AP tests with grades of 5, with required subjects to be checked on the course page | SAT/ACT: Imperial does not accept ACT or SAT scores for undergraduate entry; US-curriculum applicants are expected to present AP tests instead..Imperial's general AP guidance states a minimum of 3-4 AP tests at grade 5, normally alongside a relevant high school diploma, with course-specific subject requirements to be checked on the course page. |
Section 03
YEAR 12
Build mathematical depth before applying
Focus on fluency in A-level Mathematics and Further Mathematics, proof-style reasoning, problem solving under time pressure, and wider reading or extension work that demonstrates commitment to mathematics.
JUN - SEP 2026
Register and book the October TMUA sitting
Create a UAT-UK account from 1 June, book the October test from 20 July, and meet the access-arrangements, bursary, and booking deadlines if you plan to use the October sitting.
12-16 OCT 2026
Sit TMUA test window 1
The first TMUA sitting runs in October 2026 and is open to 2027-entry candidates. Results are scheduled for release to candidates on 16 November 2026.
OCT - DEC 2026
Book the January TMUA sitting if needed
For applicants using the later sitting, January test booking opens on 26 October 2026 and closes on 21 December 2026.
4-8 JAN 2027
Sit TMUA test window 2
The second TMUA sitting runs in January 2027 for eligible candidates at UAT-UK institutions outside the usual Oxford/Cambridge October-only route.
13 JAN 2027
Submit UCAS by the equal-consideration deadline
Completed UCAS applications for Imperial Mathematics must be submitted by the 13 January 2027 equal-consideration deadline at 18:00 UK time.
MAR - MAY 2027
Track decisions and reply deadlines
Providers should aim to send decisions by 31 March and must send decisions by 12 May for applications submitted by the 13 January deadline. Reply deadlines depend on when your final decision arrives.
JUL - SEP 2027
Use Clearing only if needed
Clearing opens in July, with late-cycle UCAS deadlines running into September and October. Highly competitive Imperial Mathematics vacancies.
12 AUG 2027
Receive A-level results and confirm your place
A-level results are provisionally scheduled by AQA for release to students on Thursday 12 August 2027. Conditional offers are confirmed through the results and confirmation process.
YEAR 12
Build mathematical depth before applying
Focus on fluency in A-level Mathematics and Further Mathematics, proof-style reasoning, problem solving under time pressure, and wider reading or extension work that demonstrates commitment to mathematics.
JUN - SEP 2026
Register and book the October TMUA sitting
Create a UAT-UK account from 1 June, book the October test from 20 July, and meet the access-arrangements, bursary, and booking deadlines if you plan to use the October sitting.
12-16 OCT 2026
Sit TMUA test window 1
The first TMUA sitting runs in October 2026 and is open to 2027-entry candidates. Results are scheduled for release to candidates on 16 November 2026.
OCT - DEC 2026
Book the January TMUA sitting if needed
For applicants using the later sitting, January test booking opens on 26 October 2026 and closes on 21 December 2026.
4-8 JAN 2027
Sit TMUA test window 2
The second TMUA sitting runs in January 2027 for eligible candidates at UAT-UK institutions outside the usual Oxford/Cambridge October-only route.
13 JAN 2027
Submit UCAS by the equal-consideration deadline
Completed UCAS applications for Imperial Mathematics must be submitted by the 13 January 2027 equal-consideration deadline at 18:00 UK time.
MAR - MAY 2027
Track decisions and reply deadlines
Providers should aim to send decisions by 31 March and must send decisions by 12 May for applications submitted by the 13 January deadline. Reply deadlines depend on when your final decision arrives.
JUL - SEP 2027
Use Clearing only if needed
Clearing opens in July, with late-cycle UCAS deadlines running into September and October. Highly competitive Imperial Mathematics vacancies.
12 AUG 2027
Receive A-level results and confirm your place
A-level results are provisionally scheduled by AQA for release to students on Thursday 12 August 2027. Conditional offers are confirmed through the results and confirmation process.
Section 04
The required admissions test for 2027 entry is the Test of Mathematics for University Admission. It is delivered through UAT-UK and Pearson VUE test centres.
TMUA has two papers: Paper 1 is Applications of Mathematical Knowledge, and Paper 2 is Mathematical Reasoning. All TMUA candidates sit both papers.
For 2027 entry, Sitting 1 runs from 12–16 October 2026, and Sitting 2 runs from 4–8 January 2027. Non-Oxford and non-Cambridge UAT-UK applicants can sit either window, but can only sit TMUA once per admissions cycle.
The October booking deadline is 28 September 2026 at 18:00 BST, and the January booking deadline is 21 December 2026 at 18:00 GMT. October sitting results are scheduled for 16 November 2026, and January sitting results are scheduled for 8 February 2027.
The test matters because it gives Imperial another common measure of mathematical reasoning across different schools and qualifications. In reality, you should treat it as a major comparative part of the file, but no official Imperial score cutoff, threshold or
For international students, TMUA is intended to operate through the same UAT-UK/Pearson VUE system where available. It is worth booking early because local centre availability can constrain practical choices in some countries.
TMUA完全対策ガイド | 試験形式・採点・戦略・練習リソース。
TMUAガイド →Section 05
Interview Invitation
Late Nov
Arrival to Interview
Early Dec
Technical Question
Mid Dec
Decision
Early Jan
Interview Invitation
Late Nov
Arrival to Interview
Early Dec
Technical Question
Mid Dec
Decision
Early Jan
Imperial Mathematics interviews are academic problem-solving sessions, typically 20–30 minutes with two mathematicians. Interviewers give you problems at the boundary of A-level and university-level mathematics and watch how you work through them. They want to see careful, logical reasoning and intellectual curiosity, not a pre-memorised solution.
Typical interview mathematics covers algebra, calculus, proof, combinatorics and sequences. You will usually be expected to think out loud, make attempts, be redirected by the interviewer, and revise your approach. Interviewers are looking for mathematical maturity — the willingness to explore a problem from multiple angles rather than abandon it when the first method fails.
Prepare by working through UKMT Senior Mathematical Challenge and BMO problems, STEP past papers, and problems from the NRICH website. The most useful habit is practising with a pen and paper while explaining each step aloud. For each problem you attempt, ask yourself whether a different approach would have been cleaner or more elegant.
無料のMathematics面接練習問題バンクで本番さながらの問題を練習しましょう。
無料練習問題 →
Section 06
For Imperial Mathematics, decisions should be understood as a holistic academic assessment anchored by mathematical readiness.
TMUA is listed as the admissions test, and UAT-UK states there is no pass/fail score. The A-level academic benchmark is A*A*A including A* in Mathematics and A* in Further Mathematics, and the IB benchmark is 39 points including 7 in HL Mathematics.
Our recommendation · weighting of admission factors
Oxbridge Mentors recommendation, drawn from observed offer patterns. Imperial College London does not publish official weightings — exact balance varies by college, course and year.
Section 07
Use the personal statement to show what kind of mathematics you pursue when nobody is setting homework. A strong approach is to write about proof, abstraction, modelling, computation or problem solving with enough detail that a selector can see your thinking.
Avoid a catalogue of books, competitions and videos. It helps to choose 2 or 3 examples and explain what changed in your understanding: a failed proof, a model assumption, a useful counterexample or a new way of seeing a familiar topic.
For Imperial Mathematics, the strongest statements usually make the transition from school mathematics to university mathematics visible. Mentioning a theorem is less useful than explaining the definition you struggled with, the example that clarified it, and the next question it raised.
That focus fits Imperial's course structure: the first year includes Introduction to University Mathematics inside a shared foundation before later specialisation, so selectors need evidence that you are ready to move beyond technique into definitions, proof and abstraction.
専門家による一行一行の解説付き完全例文を見る。
Mathematics PS例文 →Section 08
Projects are useful because they create evidence of sustained mathematical thought. Strong project routes include proof portfolios, modelling real systems and bridging school mathematics to undergraduate abstraction.
A strong approach is to write projects up, not just doing them. A short PDF or notebook with definitions, examples, failed attempts and corrected arguments is often more persuasive than a long list of activities.
A proof portfolio could focus on inequalities, graph theory, number theory or combinatorics. A modelling project could test a queue, epidemic, network, voting system or optimisation problem against simulated or public data. A bridge project could study vector spaces, groups, limits, metric spaces or countability beyond the A-level or IB syllabus.
Section 08
Other supercurricular work should deepen mathematical habits rather than decorate the application. Useful activities include Olympiad-style problem solving, proof writing, mathematical reading, computational exploration, seminars and explaining mathematics to others.
These activities support the application; they are not substitutes for grades, TMUA preparation and mathematical clarity.
Use UKMT BMO STEP-style and TMUA-style problems to build persistence and non-routine reasoning.:
Practise complete proof writing with definitions, quantifiers, counterexamples and justified steps.:
Read one accessible university-level book slowly and reproduce key arguments without looking.:
Use Python, Julia, R or a spreadsheet to test conjectures, visualise patterns and generate examples.:
Watch university public lectures or attend local maths talks, then summarise the main idea and one question it raised.:
Explain a hard concept to peers if it shows depth, precision and independent understanding.:
Section 08
Competitions are not required, but they can stretch applicants beyond routine school exercises. Five useful competition-style routes for mathematics applicants are listed below.
None are required; one or two done well beats five half-attempted.
Section 09
Year
01 / 03
1
Core transition from school mathematics to university mathematics
The first year builds a shared foundation across algebra, analysis, calculus, probability, statistics, computation and applied mathematics. Imperial materials indicate all Year 1 modules are core or compulsory.
Year
02 / 03
2
Broader core mathematics with the first meaningful options
The second year deepens the shared core while introducing more choice. Imperial programme-specification snippets state that around half of Year 2 is core or compulsory.
Year
03 / 03
3
Broad final-year choice across Imperial's research areas
The final year is built around advanced optional modules. According to the UCAS course listing, students can select from over 50 specialised modules; official Year 3 module-guide snippets say third-year students take 60 or 62.5 ECTS. Applicants should verify current module availability on the official course page or module guide.
Section 10
Start with the current admissions test. TMUA Preparation Materials are the official first stop for Imperial’s current mathematics admissions test. STEP Support Programme is useful for developing extended reasoning even where STEP is not the current Imperial test.
For the school-to-university transition, How to Study as a Mathematics Major is a practical bridge into proof-based study. The Art and Craft of Problem Solving develops habits for non-routine problems. Proofs from THE BOOK helps applicants appreciate concise mathematical argument.A Mathematician's Apologyis a short classic on the culture and aesthetics of pure mathematics; use it as a prompt for reflection, not as a substitute for doing problems.
For visual intuition 3Blue1Brown is strong on linear algebra, calculus, probability and mathematical thinking. Oxford Mathematics offers public lectures and introductory university mathematics content. MIT OpenCourseWare includes full university lecture sequences in calculus and linear algebra.
For broader mathematical culture The Joy of Why covers research-level mathematical and scientific questions through interviews. My Favorite Theorem has mathematicians explain theorems they value and why they matter.
Section 11
Imperial Mathematics graduate destinations have a strongly quantitative employment profile. In the 2023 undergraduate destinations table, employment among respondents was concentrated in financial and insurance activities, with smaller routes into information and communications and professional, scientific and technical activities. The sector chart uses 58% financial and insurance activities, 11% information and communications, 10% professional, scientific and technical activities, 4% manufacturing and 17% other recorded sectors.
Read the destinations data as a direction-of-travel signal, not a promise. A Mathematics degree can support finance, data, software, consulting, technical and further-study routes, but the strongest applications show interest in mathematics itself before career outcome.
Section 12
Imperial uses contextual information to consider academic performance in the context of educational and social background. For Mathematics, Further Mathematics is normally required at A level, but UCAS notes special cases for students from schools that do not offer Further Mathematics.
Contextual information does not remove the need for strong mathematical evidence. Applicants affected by disruption, subject availability, illness or other circumstances should ensure their school referee explains the context clearly and should follow Imperial’s published mitigation or contextual admissions guidance.
Watch & Learn
学生ブログ・模擬面接・講義体験・入試アドバイス。
A visual introduction to vectors and the geometric foundations of linear algebra.
A visual explanation of Fourier transforms and frequency-domain thinking.
Oxford Mathematics introduces the more formal style of argument used at university.
Gilbert Strang's opening MIT lecture on linear algebra and systems of equations.
A Numberphile discussion of one of the most famous problems in number theory.
All videos are the property of their respective creators.
Further Reading
専門講師が推薦するSupercurricular読書リスト・ウェブサイト・ツール。
