STEP preparation guide

STEP grades and grade boundaries: from raw marks to offer conditions

STEP is unusual among UK admissions tests: every August, alongside the results, OCR publishes the exact grade boundaries for each paper and the percentage of candidates who reached each grade. You can see precisely what a grade 1 cost in marks last year, how many candidates achieved it, and how far the line moved. This guide sets out how the S, 1, 2, 3 and U grades work, gives the full 2026 boundaries for STEP 2 and STEP 3, explains how Cambridge, Warwick, Bath and Imperial use the grades, and covers results enquiries, appeals, fees and deadlines.
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2
STEP Grades at a Glance
Grading
S / 1 / 2 / 3 / U per paper; a genuine maximum of 120, no fixed pass mark
Grade 1 in 2026
62/120 on STEP 2 (28.14% reached it); 56/120 on STEP 3 (35.73%)
Grade S in 2026
84 on STEP 2; 80 on STEP 3
What universities ask
Cambridge minimum offer: grade 1 in both papers; Warwick and Bath: grade 2 in any one paper
Results enquiry
£50.75 per paper; the 2026 deadline was 20 August, a one-week window

The 2026 boundaries and percentages are taken from OCR's official Explanation of Results document; boundaries move each year, so treat past lines as references.

In short
  • Each STEP paper is graded S / 1 / 2 / 3 / U against boundaries published by 08:00 UK time on results day; the maximum is a genuine 120 and there is no fixed pass mark.
  • In 2026, grade 1 fell at 62/120 on STEP 2 (28.14% reached it) and 56/120 on STEP 3 (35.73%); the S boundaries were 84 and 80.
  • Boundaries are worked back from the places available at Cambridge, Warwick and Imperial and move with each cohort, so treat past lines as references with a safety margin, never as fixed targets.
  • Cambridge's minimum offer level is grade 1 in both papers (with a flexible scheme at eight Colleges); Warwick and Bath ask for grade 2 in any one paper; Imperial attaches STEP only in specific cases.
  • Everything you attempt is marked and only your six best answers count; a results enquiry costs £50.75 per paper, with a deadline of 20 August in 2026, a window of just one week.
I

Part 1 of 3

Sections 01 to 04

01

The five grades: what S, 1, 2, 3 and U mean

S

Outstanding

1

Very Good

2

Good

3

Satisfactory

U

Unclassified

A STEP result carries no percentile and no scaled score: each paper receives a single grade. STEP 2 and STEP 3 are graded separately, each against its own boundaries, and there is no combined total across the two papers, so a condition of "grade 1 in both papers" means two independent lines, each cleared on its own. Each paper has a genuine maximum of 120 marks, and your grade is determined entirely by where your raw mark falls against that year's boundaries. Universities work in grades, not marks: a Cambridge offer condition says grade 1, not a number out of 120.
The first lesson of this system: you are never chasing a fixed score, you are trying to clear a line whose exact position is only revealed on results day. The consolation is that STEP publishes its boundary history in full, so you can predict roughly where the line will sit; the data below lets you do exactly that.
02

Where the raw mark comes from: best six answers, 20 marks each

12 questions per paper

20 marks each; paper maximum 120

Section APure
  • 8 questions
Section BMechanics
  • 2 questions
Section CProbability and statistics
  • 2 questions

Tap a branch to unfold

The scoring rule is widely misquoted, so it is worth stating precisely: you do not pick six questions in advance. Everything you attempt is marked, and your total is the sum of your six best-scoring answers, with no restriction on how many you attempt from any section. If a question stalls, you can abandon it without having wasted the slot, and partial work you have already written can still end up among your best six. Marking rewards genuine progress towards a solution: a wrong final answer can still earn process marks, a correct answer earns full marks whatever the method, and there are no bonus marks for finishing a question completely.
Two hard rules catch people out. Working must be clear, logical and legible, and marks can be lost if the examiner cannot follow your reasoning, even when the final answer is right. OCR is also explicit that attempting more than six questions is not advisable: candidates who spread themselves thinly rarely score as well as those who concentrate on six. Your grade is decided by the quality of six answers, not by coverage of twelve.
03

How the boundaries are set: worked back from university places

STEP boundaries are not fixed in advance, and they are not cut at a preset percentile. They are set by working backwards from university places: OCR positions the boundaries so that the number of successful offers closely matches the places available at the official user institutions, which are Cambridge, Warwick and Imperial College London. Each boundary therefore depends on how that year's cohort of applicants to those universities performed: a stronger cohort pushes the lines up, a weaker one lets them drift down. Year-on-year movement is a designed feature of the system, not a wobble. The boundaries are published at the same moment as the results, by 08:00 UK time on results day, and OCR issues a formal Explanation of Results document giving every boundary and the cumulative percentage reaching each grade, with past years' documents available online.
Two practical conclusions follow. First, treat historical boundaries as a reference frame, not a promise. Second, set your personal target a few marks above the most recent published line, so the uncertainty is absorbed during training rather than on results morning.
04

The 2026 boundaries and cumulative percentages in full

STEP 2 boundary (out of 120)STEP 2 cumulative %STEP 3 boundary (out of 120)STEP 3 cumulative %
S848.27%809.27%
16228.14%5635.73%
25241.97%4848.73%
33473.52%3083.18%

Taken from OCR's official Explanation of Results document. The percentages are cumulative: 28.14% of STEP 2 candidates achieved grade 1 or better, not exactly grade 1.

28.14%

Reached grade 1 or better on STEP 2 in 2026

35.73%

Reached grade 1 or better on STEP 3 in 2026

~26%

STEP 2 candidates finishing with a U in 2026

~17%

STEP 3 candidates finishing with a U in 2026

An unclassified result is not a freak outcome on STEP; it is an honest reflection of how demanding the papers are. Note also that every STEP 3 boundary sits below its STEP 2 counterpart while the cumulative percentages run higher. That does not mean STEP 3 is easier: the papers are pitched at different backgrounds. Officially, STEP 2 is based on A level Mathematics and AS level Further Mathematics, while STEP 3 is based on A level Mathematics and the full A level Further Mathematics, and applicants for Cambridge Mathematics are normally asked to take both. The cohorts and the papers differ, so compare your practice marks against the boundaries of the paper you are actually sitting, not the other one.
II

Part 2 of 3

Sections 05 to 08

05

No pass mark, a real maximum: the mirror image of ESAT and TMUA

ESAT / TMUASTEP
Result formatComputer-based, reporting scaled scores; no grade systemA grade per paper, a genuine maximum of 120 (six answers at 20 marks) and no fixed pass mark
What you can look upCandidates are always guessing whether a score will doGrade boundaries and the full grade distribution are published every single year
Take 2026 as the worked example: grade 1 on STEP 2 cost 62 out of 120, and 28.14% of candidates managed it. The transparency has a price, though. Because boundaries move with the cohort, last year's 62 is not a guarantee for this year. The sound approach is to use the most recent published boundaries as a baseline and train to a level comfortably above the line, rather than treating one year's number as gospel.
One common misreading is worth correcting here: "no pass mark" does not mean "no maximum". STEP has a hard ceiling of 120 marks per paper; the grades are simply the scale that admissions teams actually use.
06

How Cambridge uses STEP grades

Cambridge is the heaviest user of STEP grades. First, STEP is a condition of the offer, not a pre-application test: you sit it in the summer after applying, so an October 2026 applicant sits STEP in June 2027. Second, the published minimum offer level for Mathematics is AAA at A level together with grade 1 in both STEP 2 and STEP 3, and Mathematics applicants are normally asked to take both papers. The exact grades demanded vary by College, so check the page for the College you are applying to; the "universal threshold" that circulates online does not exist.
Route oneRoute two
A level conditionA*A*AA*A*A*
STEP conditionGrade 1 in both papersGrade 1 in either paper

The flexible offer scheme at some Colleges: meeting either route satisfies the offer, with both papers still to be taken. For 2027 entry the participating Colleges are Downing, Emmanuel, Girton, Jesus, Newnham, Robinson, Sidney Sussex and Trinity Hall.

The least well known point: copies of candidates' answer booklets are sent directly to the Cambridge admissions team, so applicants who narrowly miss their offer are judged on the actual mathematics they wrote, not merely on the grade letter. That is a concrete reason to keep your working clear and complete even on a day that feels like it is going badly; the booklet itself can be your second chance.
In scope, STEP appears in almost all conditional offers for Mathematics and for Mathematics with Physics, and individual Colleges may attach it to other strongly mathematical courses too.
07

Warwick, Bath and Imperial: grade 2 routes and attached conditions

WarwickBathImperial
Role of STEPA full equivalent to the TMUA: every undergraduate maths applicant must sit one of the two, as a requirementConditional: only applicants to the relevant courses with AS level Further Mathematics need a testA safety gate around its primary test, the TMUA, attached case by case
Grade askedGrade 2 in any one paper, your choice of paperGrade 2 in any STEP paperCase by case: the grade written into your own offer binds
Warwick: what the typical offer looks like
On the STEP route, the typical A level offer is A* in Mathematics, A* in Further Mathematics and A in a third subject, plus grade 2 in any one STEP paper; the IB version is 39 points with 6, 6, 6 at Higher Level including Mathematics (Analysis and Approaches), again with grade 2 in any STEP. Warwick explicitly accepts either paper and leaves the choice to you.
Bath: who needs a test, and the wider context
With full A level Further Mathematics or IB HL Mathematics: Analysis & Approaches, no additional maths test is needed at all; applicants to the relevant courses with only AS level Further Mathematics do need one, and the stated target is grade 2 in any STEP paper. The wider context is that Bath stopped considering TMUA and MAT scores from 2025 entry, while STEP and the AEA remain accepted, which makes a STEP grade 2 the practical card on the Bath route.
Imperial: when a STEP condition gets attached
Everyone applying on or before 21 December 2026 must take the TMUA, with no STEP substitute on that route; candidates applying after that date without a TMUA score usually receive offers with a STEP condition attached, sometimes at a raised grade; and even TMUA candidates can have STEP added if their score is borderline against the cohort. Imperial's STEP requirements are set case by case: the grade that binds you is the one written into your own offer.
08

Results day, UCAS and where your script goes

2026Timeline
Jun 26
Jul 26
Aug 26
STEP 2 exam
4 June
STEP 3 exam
10 June
Results day
By 08:00 UK time
Results and grade boundaries are released together and passed to universities through UCAS.
Results enquiry deadline
One week after results
Hard deadline Event WindowDates shown are for the 2026 series; dates for the 2027 series, covering registration, test days and results, have not yet been published.
Results reach universities through UCAS, and each institution applies them through its own process; Cambridge additionally receives copies of answer booklets so that near-miss cases can be judged on the work itself. On the perennial question of whether STEP results land on the same day as A level results: the only verifiable fact is STEP's own date, 13 August in 2026, which falls in the middle of the UK results season, and OCR's own pages do not describe it as the same day as A level results. Treat any alignment as something to check each year rather than a guarantee, and read both official calendars separately.
OCR reserves the right to change dates and fees. Specific days such as 4 June for STEP 2 and 10 June for STEP 3 in 2026 must not be projected onto next year; even the weekdays move from one series to the next.
III

Part 3 of 3

Sections 09 to 10

09

Results enquiries and appeals: fees, deadlines and when to bother

01One-week window

Decide on results morning

The 2026 enquiry deadline was 20 August, exactly one week after results day, so the window is short and the decision belongs to results morning.
02£50.75 per paper

Results enquiry

The official route if you believe your mark is wrong: a formal re-check of the marking through OCR, priced at £50.75 per paper for 2026.
03£50.75 per paper

Appeal

The stage beyond the enquiry, also £50.75 per paper.
Whether an enquiry is worth it can be judged coldly from the published data: both your raw mark and the boundaries are explicit. If you sit one or two marks below a boundary, the expected value of an enquiry is comparatively high; a gap of ten or more marks is very unlikely to close. This is the transparency of STEP working in your favour: you never need to guess how far short you fell, because the numbers are in front of you.
One clarification matters for Cambridge applicants. Since Cambridge already receives copies of answer booklets and reviews near-miss cases on the actual work, the OCR enquiry and the College's own case-by-case review are parallel tracks: one is a formal re-check of the marking through OCR, the other an admissions judgement made by the College on the mathematics you wrote. Neither replaces the other.
10

Turning a grade target into a mark target

The great dividend of published boundaries is that a grade target converts directly into a mark target. Using 2026 as the reference, the arithmetic is illustrative:

Grade 1 on STEP 2

62 marks

Roughly three fully solved questions plus a couple of marks of partial progress

Grade S on STEP 2

84 marks

Four complete solutions plus four marks of partial credit

Grade 1 on STEP 3

56 marks

Roughly two full solutions and one nearly complete answer

01

Timed papers: count properly finished questions

In timed practice, track your count of properly finished questions per paper rather than a vague sense of overall score. Your grade is decided not by how many questions you touched but by how many you can push to the 18-to-20 mark standard of completeness.
02

Train question selection as a skill

Deciding within a minute or two whether a question belongs in your six is a skill to practise in its own right.
03

Write up progress before abandoning

Because the mark scheme rewards progress, write up what you have established before abandoning any line of attack.
04

Mark honestly and place your total against the boundaries

After each timed past paper, mark yourself honestly against a 20-marks-per-question standard and place your total against the most recent published boundaries. That comparison is the closest thing STEP offers to knowing where you stand before the real thing.
FAQ

Frequently asked questions

How many marks do you need for a grade 1 in STEP?
There is no fixed number: the grade 1 boundary moves each year with the cohort and is published on results day. In the most recent published series (2026), grade 1 fell at 62 out of 120 on STEP 2 and 56 on STEP 3. Use the latest boundaries as a baseline and train a few marks above them.
Is there a pass mark in STEP, and how common is a U grade?
There is no pass mark, only annually published boundaries; below the grade 3 line the result is U. A U is not rare: inferred from the official cumulative percentages, roughly 26% of STEP 2 candidates and about 17% of STEP 3 candidates were unclassified in 2026. That reflects how hard the papers are.
What STEP grades does a Cambridge Maths offer require?
The published minimum offer level is grade 1 in both STEP 2 and STEP 3, alongside AAA at A level. Exact grades vary by College, so check your College's page. Eight Colleges also run a flexible offer scheme for 2027 entry: AAA with grade 1 in both papers, or AAA* with grade 1 in either, with both papers sat.
Is a STEP grade 2 worth anything, and which universities accept it?
Very much so. Warwick's STEP-route offer for Mathematics asks for grade 2 in any one paper (your choice of STEP 2 or 3), and Bath sets grade 2 in any STEP paper for applicants on the AS Further Maths route. On both routes a grade 2 is the target itself; you do not need a 1 or an S.
How much do STEP grade boundaries move each year?
Boundaries are set by working back from the places available at Cambridge, Warwick and Imperial, so they move with each year's cohort by design. Past Explanation of Results documents let you read the trend, but last year's line is a reference, not a guarantee: set your personal target a safe margin above the most recent boundaries.
Can I get my STEP paper re-checked, and what does it cost?
Yes. A results enquiry cost £50.75 per paper in 2026, with a deadline of 20 August, just one week after results day; a subsequent appeal is also £50.75 per paper. Since your mark and the boundaries are both published, an enquiry is most worth considering when you sit within a mark or two of a boundary.
When do STEP results come out, and how do universities see them?
For the 2026 series, results and boundaries were released by 08:00 UK time on 13 August. Results reach universities through UCAS, and Cambridge additionally receives copies of answer booklets so that near-miss applicants are judged on their actual work. Dates for the 2027 series will be confirmed by OCR.

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