20 May 2026
TMUA.co.uk team
The Real Trinity Cambridge Maths Offer Rate: 18%, Not 7%
Trinity's published Maths offer rate is 18.6%, not the 7% figure that keeps circulating on student forums. The smaller number is the acceptance rate after STEP, which is a separate Cambridge gate that nothing in the offer letter mentions.
Table of contents
- The actual numbers from Cambridge
- Where the 7% myth comes from
- Trinity Maths vs other Cambridge Maths colleges
- What the data does not say
- Should you apply to Trinity for Maths?
- The TMUA score Trinity actually wants
- Frequently asked questions
Intro
The Trinity Cambridge Maths offer rate is one of the most-cited and most-distorted statistics in UK admissions. Year after year, student forums repeat that Trinity rejects 93% of applicants. The published Cambridge data tells a different story. Trinity made 61 offers from 333 Maths applicants in the 2024 cycle, giving an offer rate of 18.6%. That is below the central Cambridge Maths offer rate of 29.2% but nothing like the 7% figure that gets quoted on TSR and r/6thForm. The gap matters because it changes which collegiate strategy is rational for a strong applicant in 2026.
The actual numbers from Cambridge
Trinity College publishes a four-year roll of Maths application and offer counts on its subject page. Cross-validated with the central Cambridge Undergraduate Admissions Statistics 2024 PDF (the only auditable source for course-level rates), the data looks like this.
| Cycle | Maths applications | Maths offers | Trinity Maths offer rate | Central Cambridge Maths offer rate |
|---|---|---|---|---|
| 2022 | 247 | 60 | 24.3% | 31.4% |
| 2023 | 291 | 64 | 22.0% | 30.0% |
| 2024 | 333 | 62 | 18.6% | 29.2% |
| 2025 | 318 | 61 | 19.2% | 28.5% (est.) |
Two patterns stand out. First, Trinity's offer rate has compressed from 24% to 19% over four cycles, which tracks the upward drift in applicant volume. Second, the gap between Trinity's offer rate and the central Cambridge Maths offer rate has been remarkably stable at around 10 percentage points. Trinity is not five times harder than average. It is roughly a third harder.
Source: Cambridge Undergraduate Admissions Statistics 2024, Table 1.1 and Trinity's own subject statistics page.
Where the 7% myth comes from
The 7% figure is not invented. It is the acceptance rate, which counts only the students who held their offer all the way through STEP and matriculated. Cambridge Maths makes offers conditional on STEP grades, usually 1,1 in STEP 2 and STEP 3. Roughly half of Maths offer-holders miss those conditions on results day. The 2024 cycle data, course-wide, shows 537 Maths offers translating into 260 acceptances, a 48.4% conversion rate. Apply that conversion to Trinity's 61 offers and you land at around 30 acceptances. Across the application pool of 333, that is roughly 9%.
The "7%" version of this calculation either uses a slightly tougher recent year or rounds aggressively. Either way, it is a different statistic from the offer rate. Confusing the two leads applicants to either avoid Trinity unnecessarily, or to plan for a STEP attempt that they never get to make because they reject themselves from a college that would have offered them a place.
The cleanest framing is the two-gate model that the central Cambridge statistics support: Stage 1 is the offer (Trinity 19% in 2025), Stage 2 is STEP (about 48% of Maths offer-holders convert). The two gates multiply. You only feel the second gate if you clear the first.
Trinity Maths vs other Cambridge Maths colleges
Comparing offer rates across colleges is genuinely useful if you understand the caveats. Cambridge publishes per-college totals across all subjects, but Maths-specific per-college rates only exist where the colleges themselves choose to release them. The following table uses Maths-specific rates where they exist (Trinity, Selwyn, St Catharine's, Girton, Lucy Cavendish, Murray Edwards) and overall offer rates as a proxy elsewhere.
| College | 2024-25 Maths-specific offer rate | Notes |
|---|---|---|
| St John's | ~17% (overall 15.7%) | Second-largest Maths cohort. Comparable difficulty to Trinity. |
| Trinity | 18.6% | Largest Maths cohort. Self-selecting strong applicant pool. |
| Pembroke | ~16% (overall 16.2%) | Small Maths intake (~10 places). |
| Churchill | ~21% (overall 23.6%) | STEM-heavy college but Maths intake more accessible than CS. |
| Caius | ~22% (overall 18.2%) | Strong STEM, ~1,200 applications in 2025. |
| Selwyn | ~28% | Publishes per-subject stats. Mid-difficulty for Maths. |
| Robinson | ~30% (overall 26.1%) | Maths offer rate higher than CS rate at the same college. |
| Newnham (women only) | ~25% | Does not fix subject numbers in advance. |
| Girton | ~41% | Maths-specific rate per UniAdmissions data. Furthest from town centre. |
| Lucy Cavendish | ~42% | Most diverse college; smaller Maths community. |
| Murray Edwards (women only) | ~41% | Maths intake ~6; smaller eligible pool. |
The Trinity premium is real but smaller than folklore implies. A candidate with a credible chance of an offer at Trinity has a slightly better chance at Girton or Lucy Cavendish. That said, the Cambridge Winter Pool re-circulates strong rejects, so the difference at the final offer stage (direct offer + pool) is even narrower than the table suggests.
What the data does not say
Cambridge does not publish offer rates broken down by college, subject, and applicant characteristic simultaneously. There is no published Trinity Maths offer rate for state school applicants, international applicants, or applicants with TMUA scores above 7.0. Most public claims of the form "Trinity Maths state school rate is X%" are interpolations from the central Maths state-school numbers (82.7% of applications, 79.4% of offers, 71.2% of acceptances in 2024) plus Trinity's overall demographic profile. Treat them as informed guesses.
Trinity also does not publish a STEP-conditioning policy that differs from the standard 1,1 across STEP 2 and 3. There is no published "Trinity STEP S grade" requirement, despite folklore. The Faculty FAQ is unambiguous: the standard Maths offer is the same across colleges, and STEP is the binding gate post-offer.
Should you apply to Trinity for Maths?
The honest answer is that Trinity is rational if any of the following are true. You are an Olympiad-track applicant (BMO2 invitee or above) for whom the Trinity Maths community is genuinely valuable. You have already decided you would rather lose the application than attend a less mathematically-intense college. You are betting that the winter pool catches you if Trinity rejects (which it sometimes does, but the data shows Trinity-rejected pool-offers number in single digits per year for Maths).
The reverse case is also strong. If you would happily attend any Cambridge college and your TMUA score is in the competitive but not outstanding band (6.0 to 7.0), applying to a less oversubscribed college genuinely raises your chance of an offer. Girton, Lucy Cavendish (open to all genders since 2021), and Robinson are real options that nothing in the data argues against.
If you are looking for the cleanest numerical comparison, run our offer probability calculator with your TMUA score and college choice. It models the two-gate structure (offer + STEP) explicitly.
The TMUA score Trinity actually wants
Trinity does not publish a TMUA threshold. Neither does Cambridge centrally. Aggregator data and Cambridge's own faculty quote ("we don't expect you to get every question right") suggest the following calibration for Maths colleges. Below 5.5 is unlikely to clear the shortlisting gate at any Cambridge Maths college. 5.5 to 6.4 is viable at lower-applicant colleges (Girton, Lucy Cavendish) but borderline at Trinity. 6.5 to 6.9 is competitive at most Cambridge Maths colleges including Trinity. 7.0 and above is strong everywhere. 8.0+ puts a candidate in the top 5% of test-takers and is essentially a free pass through shortlisting.
The 2024 TMUA modal score across all test-takers was 4.0 on the new 1.0 to 9.0 scale. Only about 15% of test-takers scored above 6.5. By the time you are in the 6.5+ band, you are already in the upper sixth of the eligible pool. (UAT-UK TMUA Explanation of Results October 2024).
How to set yourself up to beat Trinity's offer rate
- Bring your TMUA into the 6.5+ band before submitting. The simplest leverage is the test score because it is the only number Trinity can see before interview. Free practice via our TMUA past papers plus our diagnostic puts you on a calibrated band by August.
- Prepare for STEP from Year 12 summer. The acceptance gate is harder than the offer gate. The Cambridge STEP Support Programme (NRICH) is free and structured.
- Pick the college based on your maths community fit, not the perceived ease. Cambridge's pool means a strong reject from Trinity often becomes an offer elsewhere. The marginal benefit of a less competitive college at the offer stage is smaller than the marginal cost of attending a college you would rather not be at for three years.
Related reading
- Cambridge Pool 2026: Your Real Chance of an Offer via Pool
- STEP I/II/III: What's Actually Required for Cambridge Maths 2026?
- TMUA 6.5 vs 7.0: The Hidden Threshold for Top Unis
- Try the offer probability calculator
Closing
Trinity Maths is not a 7% lottery. It is an 18-19% offer rate funnel followed by a roughly 50% STEP conversion, which puts the eventual admission rate in the 9-10% band. Both numbers matter. Both are knowable. Folklore that compresses them into a single scary statistic costs applicants offers every year because it leads them either to overcorrect away from Trinity or to underprepare for the STEP gate. The data is published. Use it.
Frequently asked questions
What is the actual Trinity Cambridge Maths offer rate? Trinity's published Maths offer rate is 18.6% in the 2024 cycle and 19.2% in the 2025 cycle. Across 2022-2025 it has consistently sat between 18% and 25%.
Where does the 7% figure come from? The 7% number is the rough acceptance rate (offers that convert into places after STEP) for Trinity Maths in some recent years. It conflates the offer stage and the STEP stage, which Cambridge treats as two separate gates.
Is Trinity harder than other Cambridge Maths colleges? Slightly. The central Cambridge Maths offer rate in 2024 was 29.2%; Trinity's was 18.6%. The 10pp gap reflects a stronger self-selecting applicant pool, not a different academic bar.
Should I avoid Trinity if I want Cambridge Maths? Only if you would otherwise apply to a college with a Maths-specific offer rate above 30%. Girton, Lucy Cavendish, and Murray Edwards (women only) sit in that band. The pool catches strong rejects.
Does Trinity offer materially better Maths teaching? No. Cambridge's faculty FAQ explicitly says no Cambridge college offers materially different Maths teaching. Lectures are centralised; supervisions are sourced from the same Faculty pool.
What TMUA score do I need for Trinity Maths? Cambridge does not publish a college-level TMUA threshold. Aggregator data suggests 6.5+ is competitive at Trinity and 7.0+ is strong. The 2024 mean for offer-holders across the Maths cluster sat in the 5.1 to 8.2 college-by-college range.
Sources: Cambridge Undergraduate Admissions Statistics 2024 cycle (June 2025 release); Trinity College subject pages; UAT-UK TMUA Explanation of Results October 2024; UniAdmissions Cambridge Acceptance Rates 2025. Last updated 2026-05-20.