What OCR's two AS routes, H235 and H635, commit a Year 12 to, and what each optional paper is worth when Year 13 starts.
Book a Free ConsultationOCR AS Level Further Mathematics is a standalone Year 12 qualification offered on two separate routes: Further Mathematics A (H235) and Further Mathematics B, MEI (H635), both at Version 2, October 2025. Each requires one mandatory core paper plus at least two optional papers. On the MEI route those options are not equivalent. Appendix 5a maps Mechanics a and Statistics a onto two A-level papers each, and Modelling with Algorithms and Numerical Methods onto one.
Our expert OCR Further Maths tutors help Year 12 students on both H235 and H635, working from the specific optional papers a school has entered rather than a generic Further Maths syllabus.
Book a Free Consultation Message us on WhatsAppA Year 12 on Further Mathematics B sits three papers: the mandatory Core Pure (Y410) and two options chosen from Mechanics a (Y411), Statistics a (Y412), Modelling with Algorithms (Y413) and Numerical Methods (Y414). Nothing in the AS specification restricts which two, and a family reading only that list would reasonably conclude the four are interchangeable.
They are not, and OCR says so itself. Appendix 5a of the H635 specification prints a direct equivalence table between the AS papers and the papers of the full A-level, H645. Two of the four AS options appear against two A-level papers; the other two appear against one.
| AS paper (H635) | Has the same content as, in H645 | What that amounts to |
|---|---|---|
| Y410 Core Pure | Y420 Core Pure section (a) | one third of the A-level Core Pure content |
| Y411 Mechanics a | Y421 Mechanics Major section (a) and Y431 Mechanics Minor | half of a major option, and a whole minor option |
| Y412 Statistics a | Y422 Statistics Major section (a) and Y432 Statistics Minor | half of a major option, and a whole minor option |
| Y413 Modelling with Algorithms | Y433 Modelling with Algorithms | one whole minor option |
| Y414 Numerical Methods | Y434 Numerical Methods | one whole minor option |
Source: OCR, AS Level Further Mathematics B (MEI) H635 specification, Version 2 (October 2025), Appendix 5a, and A Level Further Mathematics B (MEI) H645, Version 2.1 (March 2026). Both read 26 September 2026.
The asymmetry is stated again in the specification's own prose, in section 2h: “The AS options Modelling with Algorithms and Numerical Methods each correspond to a minor option in the A Level with the same content”, while “The AS options Mechanics a and Statistics a each correspond to an A Level minor option with the same content; this is the same content as the unshaded content, labelled (a), in the major option in the A Level.”
The A-level specification quantifies the overlap from its own side. A footnote in H645, Version 2.1 (March 2026), reads: “One third of the Core Pure content, and one half of the content of each major option can be co-taught with AS Further Mathematics. This material is labelled (a) throughout Sections 2c to 2e.” A second footnote marks which minors are co-teachable, and it does not mark all of them: Mechanics Minor (Y431), Statistics Minor (Y432), Modelling with Algorithms (Y433) and Numerical Methods (Y434) carry it, while Extra Pure (Y435) and Further Pure with Technology (Y436) do not. Four of the six minor options have an AS counterpart. Two have none, so a Year 13 plan built on either of those two starts from nothing the AS year covered.
One caution about what these fractions are. OCR states them as shares of content, not of marks, and the specifications publish no mapping from content to mark totals. A third of the Core Pure content is not a claim that a third of the Core Pure marks are already banked, and this page does not turn it into one.
Reading the table one row at a time makes Mechanics a and Statistics a look like the better buy: each covers a whole minor option and half a major. The A-level entry rules turn that into a fork instead.
H645 does not offer free choice of papers. It requires one of three named routes. Route A is Core Pure and Mechanics Major plus one further minor, which “must not be Mechanics Minor”. Route B is Core Pure and Statistics Major plus one further minor, which “must not be Statistics Minor”. Route C is Core Pure plus three minor options and no major at all. The specification then states the prohibition in one line: “Learners may not enter for Mechanics Major Y421 and Mechanics Minor Y431, Statistics Major Y422 and Statistics Minor Y432 or Mechanics Major Y421 and Statistics Major Y422.”
So a Year 12 who sits Mechanics a has covered the content of Y421 section (a) and the content of Y431, and can use exactly one of them. On Route A the year's mechanics work becomes the first half of the Mechanics Major. On Route B or Route C it becomes the whole Mechanics Minor. There is no route on which it becomes both, because OCR forbids that pair of entries. Statistics a behaves identically against Y422 and Y432.
Modelling with Algorithms and Numerical Methods carry no such fork. Each maps to a single A-level minor of the same name, and that minor is available on every route that takes minors. A Year 12 choosing between these two families is therefore choosing between a paper whose value is larger but has to be spent one way, and a paper whose value is smaller and fixed.
Two practical consequences follow. First, the question worth asking a head of maths in Year 12 is not only which two options the school has entered, but which H645 route it expects the cohort to take in Year 13, because that is what decides how the AS work is cashed. Second, H645 leaves a release valve: the specification states that “Learners may take more than the required number of minor papers to increase the breadth of their course”, so a student whose AS pair points the wrong way is not locked out of the content, only of using it twice.
Already know which two optional papers your child's school has entered? Our expert OCR Further Maths tutors help Year 12 students prepare the core paper and both options together, on H235 or on H635, and plan the year around the H645 route the school is heading for.
Book a Free Consultation Message us on WhatsAppA family on Further Mathematics A looking for the equivalent table will not find one. H235's Appendix 5a, read in full on 26 September 2026, is a single sentence: “This qualification overlaps with A Level Further Mathematics A and with other specifications in A Level Further Mathematics and AS Further Mathematics.” It names no paper, gives no proportion, and points at no section.
That is not an oversight so much as a different design. Further Mathematics A expresses the overlap inside its content pages rather than in an appendix, through a two-column layout. H245 sets out each topic in a Stage 1 column and a Stage 2 column, and explains the convention directly: when the A-level “is being co-taught with AS Level Further Mathematics A (H235) the ‘Stage 1’ column indicates the common content between the two specifications and the ‘Stage 2’ column indicates content which is particular to this specification”. The AS specification states the same relationship from its side, saying its content statements carry reference codes matching Stage 1 of H245, and that gaps in the lettering point to Stage 2 statements.
The practical difference for a Year 12 is one of resolution. On Spec A the four optional areas are symmetric: Statistics, Mechanics, Discrete Mathematics and Additional Pure Mathematics each appear at AS as the Stage 1 column of the same-named A-level paper, so no option carries more forward than another and there is no fork of the kind H645 creates. What a family cannot do is read off how much of the A-level a given option has covered, because the specification publishes no fraction anywhere.
The paper counts differ too, and this catches people out when they compare past papers. The AS qualification has one Pure Core paper, Y531. The A-level splits the same core across two mandatory papers, Y540 Pure Core 1 and Y541 Pure Core 2, and its optional papers are renumbered Y542 to Y545 against the AS set of Y532 to Y535. An AS student looking at an A-level paper is not looking at a longer version of their own paper.
Both OCR routes are built to be taught alongside AS Mathematics. H235 states that it “is designed to be co-teachable with OCR's AS Level in Mathematics”, and H635 that it “is co-teachable with AS Level Mathematics B (MEI)”. Both then warn that Further Maths occasionally reaches for A-level Maths content the AS Maths course does not include. Only one of the two says which content.
The H235 specification states the caveat five separate times, in near-identical words each time: “Occasionally, knowledge and skills from the content of A Level Mathematics which is not in AS Level Mathematics are assumed for this qualification; this is indicated in the relevant content statements.” Nowhere in the document is that content collected into a list. A teacher can find it, statement by statement, but a parent cannot.
H635 puts the same information in a table, in the second half of Appendix 5a.
| AS paper (H635) | Non-AS A-level Maths content OCR states is required |
|---|---|
| Y410 Core Pure | the use of radians, and the addition formulae for sin and cos |
| Y411 Mechanics a | some work on friction, the vector treatment of forces, and equilibrium (OCR adds that this content is clearly labelled in the unit) |
| Y412 Statistics a | none listed |
| Y413 Modelling with Algorithms | none listed |
| Y414 Numerical Methods | the use of the Newton-Raphson method to solve equations |
Source: OCR, AS Level Further Mathematics B (MEI) H635 specification, Version 2 (October 2025), Appendix 5a, table headed 'The following options are co-teachable with AS Mathematics'. Read 26 September 2026.
MEI also flags the dependency inside the content sections themselves, noting that a dagger “refers to content which overlaps or depends on non-AS content from A Level Mathematics”, so the marked statements can be found while teaching rather than only in the appendix.
Read against the option map in the first section, this adds a second, smaller asymmetry. Statistics a and Modelling with Algorithms are the two MEI options listed with no additional requirement at all, and Modelling with Algorithms is also one of the two options that maps to a single A-level minor. A Year 12 pairing those two is taking the lightest set of external dependencies and the smallest carry-forward at the same time. That is a legitimate choice, particularly for a student who may stop at AS, but it is worth making knowingly rather than discovering in Year 13.
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Working out whether a third optional paper is worth entering? Our expert OCR Further Maths tutors help Year 12 students carry all three options to exam standard, on H235 or H635, so the combination OCR awards on is one the student is actually ready for.
Book a Free Consultation Message us on WhatsAppBoth AS specifications set a floor rather than a fixed menu. H235 states that “All learners take Y531 and at least two of the optional papers Y532, Y533, Y534 and Y535”, and H635 that “The mandatory paper Y410 must be entered, and at least two options”. A third optional paper is therefore permitted on either route, and where a learner sits more than the required number OCR awards on “the combination of papers that result in the best grade”.
Both documents attach the same counter-intuitive warning, and both put part of it in capitals: this “may NOT be the combination with the highest number of raw marks”. Because each combination has its own boundaries, a pair of papers with a lower raw total can convert to a higher grade than a pair with a higher one. H235 adds that the recorded total will be the total from the combination that leads to the best grade, not the arithmetic best.
What a family can check afterwards then depends on the route, and the two specifications promise different things. H235 undertakes to give centres “raw mark grade boundaries for each paper” and “raw mark grade boundaries for all combinations of paper”. H635 undertakes to give raw mark boundaries for each paper but “weighted mark grade boundaries for the combinations of papers taken by their learners”. On Further Mathematics A every combination's boundary is published; on MEI only the combinations a centre actually entered are. A MEI family asking whether a different pairing would have graded better cannot be answered from published data.
Two fixed dates bound all of this. There is one examination series each year, in May or June, and all examined papers must be taken in that same series at the end of the course, so an AS cannot be assembled across two sittings. A retake is permitted without limit, but H235 is explicit that learners “must retake a complete valid combination of papers” rather than a single weak one, which in practice means the core and both options again, a full year later.
Our expert OCR Further Maths tutors help Year 12 students on both AS routes, H235 and H635, and the first thing we establish is not a topic list but an entry: which core paper, which two options, and which H645 route the school expects in Year 13. On MEI that single answer decides whether a student's mechanics or statistics work becomes half a major or a whole minor, and teaching it without knowing is how a year's work ends up filed against the wrong destination.
From there the work is ordinary and specific. We teach the mandatory core alongside the two entered options rather than a generic Further Maths syllabus, and we bring forward the A-level Maths content OCR says these papers assume, because a student meeting radians or the Newton-Raphson method for the first time inside a Further Maths question is losing marks to a prerequisite rather than to the topic. Where a school has entered a third option, we prepare all of them, since OCR awards on whichever combination grades best. Where a student is stopping at AS, we say so and plan for the certificate rather than for a Year 13 that is not coming.
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Our expert OCR Further Maths tutors help Year 12 students prepare the AS core paper and both entered options, and teach the A-level Maths content these papers assume before it is needed. Bring the entry codes from the school's letter to a free consultation.
Book a Free Consultation Message us on WhatsAppOCR answers that with prerequisites rather than a difficulty rating, and the honest answer is that the load depends on what is assumed rather than on the papers being unusually long. The H235 specification states that learners are assumed to know the content of GCSE (9-1) Mathematics and of AS Level Mathematics, and adds that knowledge from A Level Mathematics which is not in AS Level Mathematics is occasionally assumed as well. On the MEI route OCR names that extra content outright: radians and the addition formulae for Core Pure, and the Newton-Raphson method for Numerical Methods. A Year 12 is therefore meeting some A-level Maths content early, by design.
Yes, on both routes. The H235 specification says all learners take Y531 and at least two of the optional papers Y532, Y533, Y534 and Y535, and the H635 specification says the mandatory paper Y410 must be entered plus at least two options. Where a learner sits more than the required number, OCR uses the combination of papers that results in the best grade, and both specifications add the same warning in capitals: this may NOT be the combination with the highest number of raw marks. The extra paper is a centre decision, taken at final entry.
It does not stop them, but it makes the choice a fork rather than a bonus. OCR's H635 Appendix 5a records that Y411 Mechanics a has the same content as Y421 Mechanics Major section (a) and Y431 Mechanics Minor. H645 then states that learners may not enter for Mechanics Major Y421 and Mechanics Minor Y431 together. So the AS year's mechanics work can be carried forward as the first half of the Mechanics Major on Route A, or as the whole Mechanics Minor on Route B or Route C, but the two destinations are mutually exclusive.
The entry code on the school's exam entry tells you, and the paper codes confirm it. H235 is Further Mathematics A: Y531 Pure Core plus optional papers numbered Y532 to Y535, named Statistics, Mechanics, Discrete Mathematics and Additional Pure Mathematics. H635 is Further Mathematics B (MEI): Y410 Core Pure plus optional papers numbered Y411 to Y414, named Mechanics a, Statistics a, Modelling with Algorithms and Numerical Methods. The option names are the quickest tell. Between OCR's two routes, only Further Mathematics B uses the lower-case 'a' suffix and the titles Modelling with Algorithms and Numerical Methods.
The H235 specification states that learners can retake the qualification as many times as they wish, but that they must retake a complete valid combination of papers, not a single weak paper. The same document sets out the window: there will be one examination series available each year in May or June to all learners, and all examined papers must be taken in the same examination series at the end of the course. A retake therefore means sitting the core paper and both options again in a later series, a full year apart.
No. OCR grades the AS qualification on the scale A, B, C, D, E, with Unclassified below E, and states that only subjects in which grades A to E are attained will be recorded on certificates. Papers are graded separately on a lower-case scale of a, b, c, d and e, with u below that, and the specification says plainly that individual paper results will not be recorded on certificates. A school will see the per-paper raw marks in its results data, so the detail exists; it simply does not reach the certificate a student keeps.
That differs by route, and it is worth knowing before a school enters an extra optional paper. The H235 specification promises centres raw mark grade boundaries for each paper and raw mark grade boundaries for all combinations of paper. The H635 specification promises raw mark grade boundaries for each paper, but weighted mark grade boundaries only for the combinations of papers taken by their learners. On the MEI route a family cannot therefore check the award against a combination the school did not enter, because the boundary for it is not published.
Every figure, code and quotation on this page was read on 26 September 2026 from OCR's own specification documents: AS Further Mathematics A (H235) and A Level Further Mathematics A (H245), both Version 2 (October 2025); AS Further Mathematics B, MEI (H635), Version 2 (October 2025); and A Level Further Mathematics B, MEI (H645), Version 2.1 (March 2026). Specifications are revised between editions, so check the current document before an entry deadline. For the two routes compared at A-level, see our OCR A-Level Further Maths page; for the board-by-board picture, our A-Level Further Maths guide; for the Core Pure and applied topics themselves, our A-Level Further Maths tuition hub; and for the AS Maths qualification OCR designs this one to be co-taught with, our Year 12 OCR A-Level Maths page. Families on another board can compare with our Year 12 AQA Further Maths and Year 12 Edexcel Further Maths pages. OCR publishes both MEI specifications in full at ocr.org.uk.
Our expert OCR Further Maths tutors help Year 12 students across the UK with the AS core paper and both entered options, on Further Mathematics A and on Further Mathematics B (MEI) alike, and plan the year around the A-level route that follows it.
Rated 4.8 out of five from 59 reviews on Trustpilot, read on 3 October 2026. See our OCR A-Level Further Maths page for the full A-level picture.
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