概要
Mathematics at Cambridge is UCAS course G100 and leads either to a 3-year BA (Hons) or to a 4-year BA and Master of Mathematics (MMath) route through the Mathematical Tripos. For 2027 entry, the typical A-Level offer is A*A*A; TMUA is required before decisions, and STEP usually remains part of conditional offers.
なぜCambridgeでMathematicsを?
Cambridge lists Mathematics as #1 in the UK in the Complete University Guide 2026 on the current course page. The peer table also records Cambridge as #3 in the Guardian table and #1 in the Complete University Guide table, with Oxford, Imperial College London, Warwick, and UCL used as comparison rows.
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 + 1,1 in STEP II and III | Mathematics, Further Mathematics required.Colleges usually require A* in Mathematics and/or Further Mathematics. Colleges may also require A*/7 in Physics as part of an offer. For Mathematics with Physics, applicants must have the Mechanics section of Further Mathematics, or A level Physics with Mathematics and Further Mathematics. |
| IB Diploma | 40–42 with 776 at HL incl. Maths + 1,1 in STEP II and III | HL: Mathematics required.Some Colleges may make IB offers above the minimum offer level, including 777 or a higher total; Cambridge may require 7 in particular subjects. |
| Advanced Placement (AP) | Minimum of 5 AP Tests at Score 5 in subjects related to the course, plus a high SAT or ACT score and high overall GPA in the US High School Diploma | AP Calculus BC recommended. SAT/ACT: SAT minimum 1500 combined with Mathematics 750+, or ACT composite 33; ACT Science 33 is expected for Science courses.AP/SAT/ACT scores should normally have been achieved within two years of matriculation. AP Tests do not have to be completed in a single sitting. |
Section 03
Jun–Jul 2026
Open days & shortlist colleges
Visit Cambridge in person if you can. Open days run in late June and early July. Begin narrowing your college list and reading first-year reading lists.
Sep 2026
Draft your personal statement
Write for the subject, not the institution. Cambridge admissions tutors look for ~80% academic content and genuine super-curricular engagement.
28 Sep 2026
TMUA registration deadline
Pre-registration via the Pearson VUE admissions testing portal closes at 18:00 UK time. Late entry is not normally possible.
15 Oct 2026
UCAS deadline
Submit your UCAS application by 18:00 UK time on 15 October 2026.
12–16 Oct 2026
Sit TMUA
ESAT and TMUA are sat in this window at Pearson VUE centres. LNAT and UCAT use their own test windows — check each test's site for booking dates.
22 Oct 2026
My Cambridge Application deadline
Complete the My Cambridge Application supplementary questionnaire by 18:00 UK time on 22 October 2026. This replaced the old SAQ.
10 Nov 2026
Submitted written work deadline
Most arts and humanities courses ask for one or two pieces of marked school work. Each college confirms its exact deadline; 10 November is the standard date.
Dec 2026
Interviews
Around three-quarters of applicants are interviewed. Typically 1–2 interviews of 25–45 minutes each at your chosen or allocated college.
27 Jan 2027
Main decisions released
Cambridge releases its main decisions on 27 January 2027. Around a quarter of offers are made through the Winter Pool — strong applicants reconsidered by colleges with remaining places.
Jun 2027
STEP papers (Mathematics only)
If your Cambridge offer for Mathematics includes STEP, you sit STEP II and III in June 2027 after A-Levels. Standard requirement is grade 1,1.
Jun–Jul 2026
Open days & shortlist colleges
Visit Cambridge in person if you can. Open days run in late June and early July. Begin narrowing your college list and reading first-year reading lists.
Sep 2026
Draft your personal statement
Write for the subject, not the institution. Cambridge admissions tutors look for ~80% academic content and genuine super-curricular engagement.
28 Sep 2026
TMUA registration deadline
Pre-registration via the Pearson VUE admissions testing portal closes at 18:00 UK time. Late entry is not normally possible.
15 Oct 2026
UCAS deadline
Submit your UCAS application by 18:00 UK time on 15 October 2026.
12–16 Oct 2026
Sit TMUA
ESAT and TMUA are sat in this window at Pearson VUE centres. LNAT and UCAT use their own test windows — check each test's site for booking dates.
22 Oct 2026
My Cambridge Application deadline
Complete the My Cambridge Application supplementary questionnaire by 18:00 UK time on 22 October 2026. This replaced the old SAQ.
10 Nov 2026
Submitted written work deadline
Most arts and humanities courses ask for one or two pieces of marked school work. Each college confirms its exact deadline; 10 November is the standard date.
Dec 2026
Interviews
Around three-quarters of applicants are interviewed. Typically 1–2 interviews of 25–45 minutes each at your chosen or allocated college.
27 Jan 2027
Main decisions released
Cambridge releases its main decisions on 27 January 2027. Around a quarter of offers are made through the Winter Pool — strong applicants reconsidered by colleges with remaining places.
Jun 2027
STEP papers (Mathematics only)
If your Cambridge offer for Mathematics includes STEP, you sit STEP II and III in June 2027 after A-Levels. Standard requirement is grade 1,1.
Section 04
Cambridge Mathematics uses the Test of Mathematics for University Admission (TMUA) as the required admissions test for 2027 entry. The test is provided through UAT-UK, with testing hosted through Pearson VUE test centres.
TMUA has two papers: Paper 1, Applications of Mathematical Knowledge, and Paper 2, Mathematical Reasoning. It is not a modular test where applicants choose sections; every Mathematics applicant takes the same two-paper structure.
For 2027 entry, the main October sitting is 12-16 October 2026, and applicants in China, Hong Kong, and Macau must take TMUA on 15 or 16 October 2026. Booking for the October sitting opens on 20 July 2026 at 3pm BST, while account creation, access arrangements, and bursary applications open on 1 June 2026. The booking deadline is 28 September 2026 at 6pm UK time.
TMUA matters because it gives Cambridge direct mathematical evidence before final offer decisions. Cambridge says pre-interview test results help Colleges decide whom to invite to interview and are considered with the rest of the application; it does not publish a TMUA pass mark or score threshold.
STEP still matters, but it sits at the conditional-offer stage rather than replacing TMUA as the pre-registration admissions test. Treat TMUA preparation as early-cycle preparation and STEP preparation as a longer technical project that continues through Year 13.
For international applicants, TMUA is one of the cleanest common comparisons across very different school systems. The same first-sitting structure applies internationally, with the specific China, Hong Kong, and Macau sitting-date restriction noted above.
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
Question Types You’ll See
Mathematics interviews are guided problem-solving conversations. They test mathematical thinking, the ability to reason aloud through unfamiliar problems, response to hints, fluency with core school mathematics in new contexts, and clarity of written and spoken working.
The dialogue is usually technical from the start. Faculty guidance characterises the subject interview as maths followed by more maths, with the purpose being to see how an applicant thinks and responds to guidance.
Typical question areas include algebraic reasoning, proof-style problems, calculus, functions, graph-sketching, geometry, vectors, probability, counting, logic, and applied modelling where relevant. Prepare by solving problems aloud, writing down assumptions, and practising how to recover when the first method fails.
The best interview preparation is not a memorised script. It helps to explain each line of working, ask precise clarification questions, and treat hints as useful data rather than as evidence that you are failing.
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
Cambridge Colleges assess Mathematics applications holistically, considering academic record, reference, personal statement, admissions assessment, contextual or extenuating circumstances, and interview performance together.
For Mathematics, the strongest evidence is usually direct mathematical performance: TMUA, specialist problem-solving interviews, and recent academic achievement. A polished personal statement is unlikely to compensate for weak mathematical evidence.
The decision-criteria weights in the page visual are indicative — Cambridge does not publish numerical weightings, not official Cambridge weightings. They should be read as a way to understand relative emphasis, not as a formula for predicting an outcome.
Our recommendation · weighting of admission factors
Oxbridge Mentors recommendation, drawn from observed offer patterns. University of Cambridge does not publish official weightings — exact balance varies by college, course and year.
Section 07
Use the personal statement to show active mathematical thinking. A good paragraph might start with a problem, theorem, proof, or computational experiment, then explain what you did with it. For Cambridge Mathematics, connect that activity to the habits that matter elsewhere in the application: proof, STEP-style problem solving, and explaining mathematical reasoning clearly.
Avoid writing a list of books with no evidence of work. One book read slowly, with notes on a proof you found difficult, is usually more convincing than five titles named in passing.
Show range without losing mathematical depth. For Cambridge Mathematics, that might mean one paragraph on proof, one on applied modelling or computation, and one on an area you explored beyond school.
Do not try to sound like a finished mathematician. It is better to explain a mistake, a failed conjecture, or a problem that changed how you think than to make broad claims about passion.
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 when they produce mathematical evidence: definitions, examples, calculations, code, conjectures, proofs, or counterexamples. They do not need to be large, but they do need to show that you can work independently and explain what changed in your thinking.
We recommend choosing one project that lets you go deeper than school exercises. Keep a short log of what you tried, where you got stuck, and how your method changed.
A proof portfolio can use 4-6 problems in number theory, geometry, inequalities, or combinatorics, with rigorous solutions revised for clarity, assumptions, and alternative methods.
A computation-to-conjecture project can use a short Python notebook or spreadsheet to explore a sequence, recurrence, graph, or dynamical system before stating conjectures and attempting proofs or counterexamples.
An A-level extension project can take complex numbers, matrices, differential equations, or probability beyond the syllabus through reading, worked examples, and a short explanatory essay.
Section 08
Other supercurriculars should support your mathematical development rather than decorate the application. The strongest activities make you better at proof, problem solving, explanation, or persistence.
These are support, not substitute.
STEP-style problem solving:
Work slowly through problems that require several ideas, and keep a log of false starts and the insight that unlocked each solution.
Olympiad proof practice:
Use UKMT, BMO, and similar problems to build written proof in number theory, combinatorics, and geometry.
Mathematical reading:
Define every new term, reproduce proofs without looking, and write short summaries connecting ideas to your current syllabus.
Explaining mathematics:
Teach a difficult result to peers, produce a short handout, or record a whiteboard explanation to develop interview-ready reasoning.
Programming and experimentation:
Use code to test conjectures, visualise functions, or simulate probability, while keeping the mathematical question central.
Lectures and seminars:
Attend public lectures or online university talks, then follow up one technical point with independent reading and worked examples.
Section 08
Competitions are not required. What they do well is stretch you beyond routine exercises and force clear written reasoning under pressure.
None are required; one or two done well beats five half-attempted.
Section 09
Year
01 / 04
1
Foundations
The first year makes the transition from school mathematics to university-level proof, abstraction and problem solving. Students choose either Pure and Applied Mathematics or Mathematics with Physics, but the standard mathematics route has no internal optionality and is built around eight 24-lecture courses.
Year
02 / 04
2
Breadth and early choice
Part IB deepens first-year material while opening a broad menu across pure mathematics, applied mathematics, statistics and theoretical physics. Students are not expected to take every available course and choose a workload with guidance from their Director of Studies.
Year
03 / 04
3
Advanced specialisation
Part II lets students explore mathematical interests in detail, with most students choosing 8 to 10 options from a much wider list. The options span areas such as algebra, analysis, probability, statistics, mathematical physics, computation, cosmology and mathematical biology.
Year
04 / 04
4
Master's-level study
Part III is the optional fourth year for students who do sufficiently well in Part II and wish to graduate with the integrated MMath as well as the BA. Students choose advanced lecture courses across pure mathematics, statistics, probability, theoretical physics and applied mathematics, and also complete a substantial essay.
Section 10
Start with proof and problem-solving habits. How to Think Like a Mathematician is a practical bridge from school mathematics into definitions, theorems, and proof, while The Art and Craft of Problem Solving develops contest-style insight and systematic problem-solving habits.
For broader mathematical culture, What Is Mathematics? gives a classic tour of mathematical ideas, and Proofs from THE BOOK trains taste through elegant proofs. Read actively: pause at definitions, reconstruct arguments, and write your own examples.
For visual intuition, 3Blue1Brown is strong on calculus and linear algebra, while Mathologer gives deeper explanations of elegant problems, proofs, and mathematical history. Oxford Mathematics and Dr. Trefor Bazett add more university-style lectures and structured topic playlists. Numberphile is useful for accessible conversations with mathematicians, but it works best when followed by your own written problem solving.
For structured practice, STEP Support Programme gives free Cambridge-developed modules for STEP and STEP-like problem solving, and STEP Question Database lets you search STEP questions by topic. NRICH Mathematics is useful for curiosity-led reasoning tasks, especially if you want problems that are less formulaic than textbook exercises.
Podcasts should be a supplement, not the centre of preparation. The Secrets of Mathematics is Oxford-produced, but it is included because its pure and applied mathematics topics overlap with the kind of mathematical culture Cambridge applicants should be exploring. My Favorite Theorem and The Joy of Why are useful for hearing how mathematicians talk about ideas, but interview readiness still comes from doing problems.
Section 11
31 colleges offer this subject. 10.2% in the 2024 admissions statistics (2,257 open applications out of 22,153 total applications) of applicants submit an open application. 20.6% in the 2024 admissions statistics (4,557 Winter Pooled applications out of 22,153 total applications) of places come through the pool.
College choice affects day-to-day environment, accommodation, location, community, and who initially assesses the application, but it should not be treated as a shortcut into Mathematics.
Open applications accounted for 10.2% of Cambridge applications in the 2024 admissions statistics, using 2,257 open applications out of 22,153 total applications. Winter Pooled applications accounted for 20.6% in the same statistics, using 4,557 pooled applications out of 22,153 total applications.
The Winter Pool is Cambridge’s cross-College moderation process. If the assessing College believes an applicant is strong but cannot offer a place itself, the application can be made available to other Colleges.
Choose a College where you would be happy to live and learn. Use an open application only if you genuinely have no College preference.
Section 12
Cambridge Mathematics graduate destinations are concentrated in analytical sectors, with the official Faculty chart for 2017-2020 showing finance and IT as the two largest areas, followed by higher education, other education, manufacturing and management, engineering and technology, and smaller sectors such as actuarial work, accountancy, arts, and public administration. Read the chart as historical destination data, not as a current employment guarantee, and use the Faculty careers PDF to check the underlying chart.
Section 13
Cambridge uses contextual data as part of holistic assessment rather than as a systematic lower-offer mechanism. Contextual indicators can include care experience, refugee or humanitarian protection status, estrangement, free school meals, or other extenuating circumstances.
Cambridge also considers geodemographic and school or college context, including school performance context and Oxbridge offer history. This matters because the same grade profile can mean different things in different educational settings.
For Mathematics, lack of access to Further Mathematics should be explained early. Cambridge states that applicants unable to take Further Mathematics because it is not offered should contact a College for advice.
Use My Cambridge Application and any College-requested forms to give concise, evidence-based context. In reality, mitigation helps selectors interpret evidence; it does not replace mathematical readiness.
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 the core ideas behind calculus rather than memorised rules.
A visual starting point for thinking about vectors geometrically and algebraically.
Explains span and basis, ideas that are central to later university linear algebra.
A Numberphile introduction to one of the most famous problems in number theory.
Cambridge students discuss studying Mathematics and the academic environment in the Faculty.
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。
