Cambridge Mathematics Requires Both TMUA and STEP: A Guide for International Students
Two tests at two different stages. Here is how to plan for both across two years.
Book a Free ConsultationTwo tests at two different stages. Here is how to plan for both across two years.
Book a Free ConsultationMaths applicants face two separate assessment hurdles at two different points in the application cycle: the TMUA before interview, and STEP (the Sixth Term Examination Paper) as part of your conditional offer the following summer.
Checked October 2026
Cambridge and UAT-UK, which administers the TMUA, give 12 to 16 October 2026 as the TMUA sitting for 2027 entry (15 October deadline); booking closed on 28 September 2026.
The Faculty of Mathematics gives a typical offer of grade 1 in both STEP 2 and STEP 3; OCR administers STEP, sat in June 2027 for October 2026 applicants.
Here is how the two tests fit into the Cambridge Maths application timeline for a student in their final year of school (equivalent to Year 13 or IB Year 2):
The practical implication is that preparation for Cambridge Maths runs across two school years: the free STEP Support Programme is designed for individual self-study through Years 12 and 13, while Cambridge says TMUA preparation is mainly about familiarising yourself with the test format and style of questions.
The TMUA lasts 2 hours 30 minutes in total and has two papers of 75 minutes each, with 20 multiple-choice questions in each. Cambridge describes it as a test of mathematical thinking. TMUA Paper 1 (Applications of Mathematical Knowledge) assesses your ability to apply your knowledge of mathematics in new situations, and UAT-UK says the TMUA is based on content typically covered within Higher Level GCSE mathematics courses or AS level mathematics. Paper 2 (Mathematical Reasoning) assesses your ability to deal with mathematical reasoning, and simple ideas from elementary logic. You will not be able to use a calculator or dictionary, and you do not lose marks for wrong answers, so it is worth attempting all questions.
If you study IB or another international curriculum, compare your course with the TMUA specification, which gives a detailed list of possible topics. Cambridge recommends reading the test specification and the Notes on Logic and Proof, which UAT-UK publishes for TMUA Paper 2, to identify any topics you might need to revise. Our TMUA preparation guide covers the test in more detail.
Each STEP paper has 12 questions (8 pure, 2 mechanics and 2 statistics/probability), and your final score is based on your six highest-scoring questions. The Faculty of Mathematics says the questions are much longer and more demanding than A-level questions, and STEP content draws on A-level Further Maths. Cambridge says the questions are designed to test qualities like insight, problem solving, and the ability to use standard techniques in unusual ways and situations.
Cambridge typically requires:
Each question is marked out of 20, so the maximum mark on either paper is 120. The grades are S, 1, 2, 3 and U, and college staff can inspect your scripts as well as your marks.
Cambridge says STEP is based on material from the A Level Mathematics and Further Mathematics specification (or equivalent). If you study IB, compare your course with the points below and the STEP specification before starting timed STEP past papers:
| Period | Focus |
|---|---|
| IB Year 1 / Year 12 (Sept–Apr) | Strengthen HL Maths AA; start the free STEP Support Programme, designed for individual self-study through Years 12 and 13 |
| Summer (Jul–Aug) | Fill TMUA gaps, including the logic content of Paper 2, and any STEP mechanics gaps |
| IB Year 2 / Year 13 (Sept–Oct) | TMUA timed practice; booking for the October 2026 sitting closed on 28 September 2026, and the test runs from 12 to 16 October 2026 |
| Nov–Feb | Cambridge interview prep (interviews take place in early-mid December); work through the STEP Support Programme modules (STEP 2 modules from September of Year 13, STEP 3 modules from January of Year 13) |
| Mar–May | STEP intensive: timed past papers; mark fully, review all errors |
| June | STEP 2 and STEP 3 (June 2027 if you apply in October 2026; OCR's 2026 papers were on 4 June and 10 June 2026) |
The STEP Support Programme at Cambridge provides free preparation modules, hints and full solutions to help you prepare for STEP. UAT-UK publishes the TMUA specification, specimen and practice tests and an archive of past papers. Leading Tuition's specialist tutors support students preparing for STEP and TMUA — see our STEP preparation page and TMUA preparation page for more details.
One-to-one specialist tutoring can help international students preparing for TMUA and STEP. A specialist tutor who knows both your curriculum and the test can focus your sessions on the gaps between the two.
When selecting a tutor for TMUA and STEP, look for these qualities:
Leading Tuition's specialist tutors work online with international students across all time zones and can tailor preparation to curriculum differences including IB Mathematics and AP Calculus. We support students from the UAE, Saudi Arabia, India, Hong Kong, Singapore, the US, and many other countries. Book a free consultation to discuss a personalised preparation plan for your timeline and curriculum background.
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Reviewed October 2026: dates, figures and rules checked against the University of Cambridge undergraduate admissions pages, the Faculty of Mathematics admissions pages, the UAT-UK TMUA pages, OCR's STEP pages and the STEP Support Programme.
Yes. Cambridge says STEP is used as part of almost all conditional offers for Mathematics, and applicants for Mathematics are normally asked to take both STEP 2 and STEP 3. The Faculty of Mathematics says a typical offer is grade 1 in both papers. Some colleges make a flexible offer to A-level applicants, but both papers must still be taken. If you apply in October 2026, you should expect to take STEP in June 2027. The TMUA is separate: it is taken before interview, while STEP is taken the following summer as part of your offer.
If you apply at the 15 October deadline, Cambridge says you must take the TMUA in the first sitting, from 12 to 16 October 2026. Applicants from China, Hong Kong and Macau must take it on 15 or 16 October. Booking opened on 20 July 2026 and closed at 6pm UK time on Monday 28 September 2026, so the registration deadline has passed. Mature applicants applying in the January round can take the test from 4 to 8 January 2027; UAT-UK opens January bookings on 26 October 2026, and they close on 21 December 2026.
There is no pass or fail for the TMUA, and results are reported on a scale from 1 (low) to 9 (high). UAT-UK says each year's scale is based on the ability distribution of that year's candidates, with the median fixed at 4.5 and the 90th percentile fixed at 7.0. Cambridge's Faculty of Mathematics says TMUA performance is considered alongside other components of an application, and historically between 75% and 80% of applicants have been invited to interview. Your final score is based on the number of correct answers, and you do not lose marks for wrong answers, so it is worth attempting every question.
Yes. OCR administers STEP and says it can be taken in the UK and all over the world. As a candidate you cannot register yourself: ask the exams officer at your school, college or test centre to register you. Cambridge's Faculty of Mathematics says a school that is not already a centre can apply to become one, even if you are the only person taking a test. OCR's registration deadline for the June 2026 papers was 4 May 2026, and centres may set earlier deadlines, so speak to your centre as early as possible.
STEP 1 was discontinued in 2020, so there are two papers, STEP 2 and STEP 3. STEP 2 is based on A level Mathematics and AS level Further Mathematics (or the equivalent). STEP 3 is based on a typical Further Mathematics A-level syllabus, and its questions are intended to be about the same level of difficulty as those of STEP 2. Each paper has 12 questions (8 pure, 2 mechanics and 2 statistics/probability), and your final score is based on your six highest-scoring questions.
Cambridge's STEP Support Programme, which the Faculty of Mathematics develops, sets out a sequence. Its Foundation modules are designed to be studied weekly over about 6 months, and the programme recommends starting them in Year 12 if you plan to take STEP 2 and 3 at the end of Year 13. It recommends starting the STEP 2 modules in September of Year 13 and the STEP 3 modules in January of Year 13. If you apply in October 2026, you should expect to take STEP in June 2027. Compare your own course with the STEP specification to see which topics to cover first.
Leading Tuition provides specialist one-to-one online tutoring for TMUA and STEP preparation, tailored to your curriculum background, whether IB, AP, CBSE or another international qualification. Our specialist tutors work with you on the gaps between your course and the test specifications, using official practice materials and past papers, and help you plan your preparation around your test dates. Because sessions are online, you can work with us from anywhere in the world. Book a free consultation to discuss your preparation needs.