Exam prep·United Kingdom & Ireland· 8 min read

STEP Maths Exam Guide for UK Universities

A deep dive into STEP maths papers used in conditional offers for Cambridge, Warwick and other maths degrees — paper structure, problem-solving style and how to build STEP technique.

Last updated 24 June 2026

Key facts

Administered by: OCR
Papers: STEP 2 and STEP 3, each three hours, written
Used by: Cambridge, Warwick and some other maths departments
Sitting: Around June; results in August
Verify on: OCR STEP pages and your university offer

What STEP is and who uses it

STEP (the Sixth Term Examination Paper) is a set of advanced mathematics examinations used by some UK universities as part of a conditional offer for mathematics and closely related degrees. The University of Cambridge is the best-known user, and the University of Warwick and some other departments also use STEP in their offers. STEP is administered by OCR, and you can confirm the current participating universities and arrangements on the OCR STEP pages.

Unlike a multiple-choice aptitude test, STEP is a written, paper-based exam where you produce full mathematical solutions. It is designed to test whether you can sustain a long, structured mathematical argument — the kind of work a maths undergraduate does — rather than answer many short questions quickly.

STEP = Sixth Term Examination Paper, administered by OCR
Used in conditional offers, notably by Cambridge; also Warwick and others
Full written solutions, not multiple choice
Confirm the current user list and rules on OCR's STEP pages

Paper structure: STEP 2 and STEP 3

STEP currently runs as two papers, STEP 2 and STEP 3, each a three-hour written examination. Offers usually specify which paper(s) you must sit and the grades you need — for example, a conditional offer might ask for particular grades in STEP 2 and STEP 3. Always read your individual offer carefully, because the exact paper and grade requirements are set by each university and stated in your offer.

Each paper contains a number of questions across pure mathematics and applied areas, and your mark is based on your best answers rather than every question attempted. This means depth matters more than breadth: a few complete, well-argued solutions typically score far better than many partial attempts. Check the current paper structure and rubric on OCR's official STEP pages before you prepare.

Two papers: STEP 2 and STEP 3, each three hours, written
Marked on your best answers, not every question attempted
Mix of pure and applied mathematics
Your offer states which paper(s) and grades you need — read it carefully

How STEP questions differ from A-level

A-level questions usually signpost the method: they break a problem into steps and reward applying a known technique. STEP questions are longer and more open — they hand you an unfamiliar situation and expect you to find your own route, often combining ideas from across the syllabus in one question.

The content overlaps with A-level Mathematics and Further Mathematics, so STEP rarely needs new topics. What it demands is fluency, persistence and the ability to spot structure: recognising when to substitute, when to consider cases, when a result earlier in a question is meant to be used later, and how to write a rigorous, readable argument.

Open, multi-step problems with little signposting
Content overlaps A-level Maths and Further Maths
Rewards spotting structure and linking ideas across topics
Rigorous, clearly written argument is part of the marks

Building STEP technique

STEP is a skill you train over months, not days. Work steadily through past papers and the official preparation resources (the STEP support programme and OCR's published materials), and treat each question as a problem to wrestle with — spend real time stuck before looking at a solution, because that struggle is where the learning happens.

After each attempt, review not just whether you got the answer but how efficiently you found it and how clearly you wrote it. Keep a log of recurring techniques (clever substitutions, useful inequalities, standard case-splitting tricks). Build exam stamina by sitting full three-hour papers under timed conditions in the months before the exam.

Start early and practise consistently over months
Sit with hard questions before reading the solution
Review for efficiency and clarity, not just the final answer
Keep a technique log; sit full timed papers to build stamina
Use official STEP support materials and past papers

Timing in the application cycle

STEP fits late in the application cycle: you apply through UCAS in the autumn, may receive a STEP-conditional offer over the winter, and then sit STEP papers in the summer of your final school year, usually around June, with results released in August alongside A-level results. That means you can hold an offer for months before the exam, so plan your revision across the whole spring.

Registration is handled through your school or an authorised exam centre, and registration windows and fees are set by OCR and change each cycle. Because timings can shift between cycles, confirm the current sitting dates, registration deadlines and fees on the official OCR STEP website well in advance.

Apply via UCAS (autumn) → STEP-conditional offer → sit STEP (around June)
Results released in August with A-level results
Register through a school/exam centre within OCR's window
Confirm current dates and fees on OCR's official STEP site

Frequently asked questions

Do I need Further Maths to take STEP?

STEP draws heavily on A-level Mathematics and much of Further Mathematics, so Further Maths is very helpful and is often expected for the courses that use STEP. Check the specific course requirements, since departments differ on what they assume.

How many questions should I answer?

You do not need to attempt every question. STEP is marked on your best answers, so it is usually better to write a few complete, well-argued solutions than many partial ones. Check the exact number counted in the official rubric for each paper on OCR's STEP pages.

Is STEP harder than A-level?

STEP is designed to be more demanding in problem-solving than standard A-level papers, even though the topics overlap. The difficulty is in the open, multi-step reasoning rather than in new content, which is why technique-building over time matters so much.

When are STEP results released?

STEP results are typically released in August, around the same time as A-level results, so universities can confirm STEP-conditional offers. Confirm the exact date for your year on the OCR STEP website.

Who administers and sets STEP now?

STEP is administered by OCR. You should use OCR's official STEP pages for registration, key dates, fees and the definitive list of universities that currently use STEP in their offers.

Official sources

This guide explains the process and is for guidance only. Eligibility, dates, fees and rules change every year — always confirm the current details on the official site before you act.

Verified against: OCR — STEP Mathematics (official administrator); University of Cambridge — admissions assessments; University of Warwick — Mathematics entrance exams (STEP).

Last verified: 24 June 2026.