Hawkeye Education · 2026-07-27 · 9 min read
TMUA and STEP serve different roles in UK university admissions. TMUA is a computer-based, multiple-choice test normally used before offers. STEP is a handwritten, long-answer examination usually taken after an offer. Cambridge Mathematics applicants normally need both; elsewhere, the requirement depends on the exact course.
If the new rules feel confusing, you are not alone. A university may require TMUA for one course, recommend it for another and use a different test for a third. This guide helps students and parents identify the right route before booking or preparing for an exam.
The main difference is when and how the examinations are used. TMUA is normally an early admissions-selection test, while STEP is normally taken in June as a university-offer condition. TMUA rewards quick, accurate reasoning; STEP rewards sustained problem-solving and complete written mathematical arguments.
| Feature | TMUA | STEP |
|---|---|---|
| Main role | Pre-offer admissions selection | Usually a post-offer condition |
| Test period for 2027 entry | October 2026 or January 2027 | Broadly June 2027 |
| Delivery | Computer-based | Handwritten |
| Question style | Multiple choice | Long-form mathematical problems |
| Duration | Two 75-minute papers | Two Papers, Three hours per paper |
| Questions | 20 questions per paper | 12 questions per paper |
| Mathematical content | Higher-tier GCSE/AS foundations and reasoning | A-level Mathematics and Further Mathematics |
| Result | One score from 1.0 to 9.0 | Grade S, 1, 2, 3 or U |
| Calculator | Not allowed | Not allowed |
| Typical use | Selection for Mathematics, Computer Science or Economics courses | Cambridge Mathematics offer condition, or a specified alternative route |
The bottom line: TMUA tests reasoning earlier in the admissions process; STEP tests advanced problem-solving later. Do not treat them as substitutes unless your exact course explicitly allows it.
The table below summarises the practical position. Use it as a planning guide, not as a replacement for checking the official course page before applying.
| University and course | TMUA requirement | STEP | Notes |
|---|---|---|---|
| Cambridge | Mathematics, Computer Science, Economics: Required (October sitting) | Mathematics applicants normally also need STEP 2 and STEP 3 | - |
| Oxford | Mathematics, Statistics, Computer Science: Required (October sitting) | Not required | TMUA replaces the former MAT for 2027 entry; Economics and Management uses TARA instead |
| Imperial College London (ICL) | Computing, Mathematics, EFDS: Required | Only a limited fallback for applicants who missed the TMUA booking window | - |
| Warwick | Computer Science: Required; Mathematics: choice of TMUA or STEP | Mathematics applicants choosing the STEP route normally need grade 2 | - |
| UCL / LSE | Specified Economics courses: Required; other LSE quantitative programmes: Recommended | No standard requirement | - |
| Durham | Mathematics: Recommended | A strong result can support a reduced offer | - |
These rules come from the UAT-UK 2027 course list and the universities' own admissions pages. If the UAT-UK summary and a detailed course page appear to differ, contact the university and follow the current course-specific guidance.
Yes. Cambridge Mathematics applicants should plan for both. TMUA is taken during selection, normally in October 2026. STEP 2 and STEP 3 are then used in almost all conditional offers and taken in June 2027.
The usual sequence is:
TMUA consists of two computer-based papers lasting 75 minutes each. Each paper contains 20 multiple-choice questions. Calculators and dictionaries are prohibited, but incorrect answers are not penalised, so candidates should attempt every question.
There are two TMUA windows for 2027 entry (you can only sit TMUA once per admissions cycle):
Cambridge and Oxford applicants in the normal application round must take the October sitting. Applicants to other participating institutions may normally choose October or January, and UAT-UK says neither sitting has an admissions advantage.
Paper 1 tests whether students can apply familiar mathematical ideas in unfamiliar situations. The content is not designed around the most advanced parts of A-level Further Mathematics. The challenge comes from interpreting the problem, selecting an efficient method and working accurately under time pressure.
Paper 2 focuses on mathematical reasoning and elementary logic. Students need to understand what statements imply, identify valid arguments and work carefully with definitions and conditions.
The official UAT-UK TMUA overview provides the test specification and preparation materials.
The two papers produce one overall score from 1.0 to 9.0, reported to one decimal place. There is no UAT-UK pass mark. Each university decides how to use the score alongside grades, contextual information and the rest of the application.
Candidates receive their results through their UAT-UK account. For the 2027-entry cycle, October candidates are due to receive results on 16 November 2026 and January candidates on 8 February 2027. Scores are matched automatically to participating universities through the applicant's UCAS courses. See the UAT-UK results guidance.
| Event | October 2026 sitting | January 2027 sitting |
|---|---|---|
| Booking opens | 20 July 2026 | 26 October 2026 |
| Access-arrangement deadline | 14 September 2026 | 7 December 2026 |
| Bursary deadline | 21 September 2026 | 14 December 2026 |
| Booking closes | 28 September 2026 | 21 December 2026 |
| Test window | 12–16 October 2026 | 4–8 January 2027 |
| Candidate results | 16 November 2026 | 8 February 2027 |
Access arrangements must be requested and approved before the candidate books the test. Full timings and time zones are available on the UAT-UK key dates page.
UAT-UK restricts the available test days in these locations for security reasons:
Cambridge and Oxford applicants in these locations must still take the October sitting. UAT-UK states that it cannot make exceptions to the regional dates.
The fee is based on the location of the test centre, not the candidate's nationality or home address:
Eligible UK candidates can apply for a bursary covering the full test fee, but the bursary must be approved before booking. Check the current UAT-UK registration guidance before paying.
STEP 2 and STEP 3 are three-hour handwritten examinations containing 12 long-response problems. Candidates may attempt as many questions as they wish, but only their best six answers contribute to the final total. Marks can be awarded for meaningful progress even when a solution is incomplete.
Each paper contains:
Calculators and bilingual dictionaries are not allowed. Candidates do not receive a formula booklet. Formulae that must be memorised are specified in the syllabus, while any additional formula required for a particular problem is included in the question.
| Paper | Main syllabus |
|---|---|
| STEP 2 | A-level Mathematics plus AS-level Further Mathematics |
| STEP 3 | A-level Mathematics plus A-level Further Mathematics |
The papers share the same three-hour, 12-question structure, but STEP 3 draws on the full A-level Further Mathematics syllabus. The current details are set out in the OCR STEP specification.
STEP uses five grades:
Grade boundaries change from year to year. They depend on the examination and candidate performance, so students should not rely on a fixed table that converts a raw mark into a STEP grade. OCR publishes the boundaries with the results for each series in its STEP scoring and results guidance.
Cambridge confirms that applicants receiving STEP conditions for 2027 entry will take the examination in June 2027. However, as of 27 July 2026, OCR had not published the precise STEP 2 and STEP 3 dates, registration deadline, results date or fees for the 2027 series.
Check the OCR STEP dates and fees page for the 2027 timetable when it is released.
STEP is generally more advanced in syllabus and depth, but the two examinations test different abilities. TMUA creates difficulty through speed, unfamiliar multiple-choice reasoning and limited time. STEP requires longer mathematical arguments, advanced content and persistence across multi-stage problems.
| Preparation factor | TMUA | STEP |
|---|---|---|
| Main challenge | Speed, interpretation and accuracy | Depth, persistence and written reasoning |
| Typical preparation stage | Year 12 summer through autumn | Year 12 through Year 13 |
| Practice emphasis | Timed question sets and decision-making | Full written solutions and partial-progress marks |
| Common mistake | Spending too long on one question | Abandoning a question before collecting available marks |
A student can therefore find TMUA harder even if STEP covers more advanced mathematics. The most useful question is not "which exam is harder?" but "which skills does my required exam reward?"
Preparing for two demanding exams can feel daunting, but the work becomes manageable when the emphasis shifts at the right time.
Keep some official papers untouched for realistic timed practice closer to each exam.
If specialist support would help, we can help you find a teacher with TMUA or STEP experience who fits the exam, the student's current level and their university plan.
This guide was verified on 27 July 2026 against UAT-UK, OCR and the official 2027 admissions information published by Cambridge, Oxford, Imperial College London, Warwick, UCL, LSE and Durham. University requirements can change, so applicants should confirm their exact course before registering for an admissions test.
