--- title: "OCR MEI A Level Maths H640 Help: Comprehension Paper" description: "OCR MEI A level Maths H640 help: the 75-mark comprehension paper, the pre-release data set, how the three papers split their marks, and live online lessons." canonical: https://learn.modernagecoders.com/ocr-mei-a-level-maths-h640-help source: src/pages/ocr-mei-a-level-maths-h640-help.html --- > OCR MEI A level Maths H640 help: the 75-mark comprehension paper, the pre-release data set, how the three papers split their marks, and live online lessons. What H640 is OCR B (MEI) A level Mathematics (H640) is a Cambridge OCR A level taken as three 2-hour papers: Pure Mathematics and Mechanics (100 marks), Pure Mathematics and Statistics (100 marks), and Pure Mathematics and Comprehension (75 marks), whose last 15 marks are questions on an unseen passage. Modern Age Coders teaches H640 live online in the A Level Maths course, either in a batch of 15 to 20 or 1-on-1, starting with a free class. Start here ## Courses an MEI student tends to use The A level course covers H640. Maths through coding builds the habit of explaining a method, and Further Maths serves students taking both. [![A-Level Maths course thumbnail](/images/a-level-maths.webp) ME / 01 A Level Maths Every H640 topic, with fortnightly passage practice for Paper 3. Open the syllabus →](/courses/a-level-maths-course-pure-mechanics-statistics)[![Maths Through Coding course thumbnail](/images/maths-through-coding.webp) ME / 02 Maths through coding Iterative methods written as short programs, then explained in words. Open the syllabus →](/courses/maths-through-coding)[![A Level Further Maths course thumbnail](/images/a-level-further-maths.webp) ME / 03 A Level Further Maths For MEI students who also take Further Maths. Open the syllabus →](/courses/a-level-further-maths-course) Paper structure ## How are the three OCR MEI A level Maths papers structured? Two 100-mark papers each join pure to one applied area. A 75-mark paper is pure alone, with the comprehension section at the end. All three last two hours. OCR says H640 "has been developed in partnership with Mathematics in Education and Industry (MEI)", which it describes as "a long established, independent curriculum development body". The specification sets out the components plainly: "Learners must complete components 01, 02 and 03 to be awarded OCR A Level in Mathematics B (MEI)." Unlike H240, OCR's other A level Maths, mechanics comes first: it is paired with pure on component 01, and statistics with pure on component 02. | Component | Content | Marks | Time | Share of the A level | | --- | --- | --- | --- | --- | | 01 | Pure Mathematics and Mechanics; 41 to 47 marks are mechanics | 100 | 2 hours | 36.4%, exactly 4/11 | | 02 | Pure Mathematics and Statistics; 50 to 60 marks are statistics, some on the pre-release data | 100 | 2 hours | 36.4%, exactly 4/11 | | 03 | Pure Mathematics and Comprehension; mechanics and statistics assumed but not the focus | 75 | 2 hours | 27.3%, exactly 3/11 | Source: Cambridge OCR A Level in Mathematics B (MEI) (H640) specification, Version 3.1, sections 1 and 3a, via the [OCR H630 and H640 page](https://www.ocr.org.uk/qualifications/as-and-a-level/mathematics-b-mei-h630-h640-from-2017/). OCR notes the percentages are rounded to one decimal place. ### Section A and Section B on Papers 1 and 2 Each 100-mark paper opens with Section A, worth 20 to 25 marks, which OCR describes as "shorter questions with minimal reading and interpretation; the aim of this is to ensure that all students feel as though they can do some of the questions on the paper." Section B "includes longer questions and more problem solving" and "has a gradient of difficulty". Applied questions can sit in either section, so mechanics may appear in the first five minutes. ### Why Paper 3 is shorter Component 03 gives 75 marks in the same two hours as the 100-mark papers. That is 1.6 minutes a mark, against 1.2 on Papers 1 and 2, by our arithmetic. The extra time is there for reading. The comprehension passage has to be read and understood before any of its 15 marks can be earned. Comprehension ## What is the MEI comprehension paper, and what does it ask? It is Section B of Paper 3: 15 marks of questions on a passage of pure mathematics the student has not seen before, worked through in the exam. The specification states that component 03 Section A "will have 60 marks on the pure mathematics content" and that "Section B will have 15 marks worth of questions on a previously unseen comprehension passage based on the pure mathematics content of the specification, rather than on mechanics or statistics content, to ensure that mechanics and statistics are not over-assessed in some years." It adds that "The passage may include examples of applications of the pure content", other than those in the applied sections. OCR lists the reason for including it among the key features of H640: it "Includes mathematical comprehension in the assessment to help to prepare learners to use mathematics in a variety of contexts in higher education and future employment." In other words, the paper asks what a university lecture or a technical report asks: read an argument you did not write, follow its notation, check one of its steps, and extend it a little. | Task type | What the student does | Skill behind it | | --- | --- | --- | | Check a claim | Verify a number or a line of algebra stated in the passage | Accurate pure technique | | Fill a gap | Supply a step the author skipped, such as a derivative or a rearrangement | Following someone else's argument | | Apply the idea | Use the method from the passage on new numbers | Transferring a method | | Explain | Say in words why a result holds, or when a method fails | Reasoning and communication | | Extend | Generalise the passage's result one step further | Problem solving | The AO weightings show the tilt. OCR's table gives component 03 between 21 and 25 marks of AO2, reasoning and communicating, out of 75, a larger share than on either 100-mark paper, where AO2 is 18 to 24 on component 01 and 22 to 28 on component 02. Across the whole A level the three objectives still land at 48 to 52, 23 to 27 and 23 to 27 per cent. Pre-release data ## What is the MEI pre-release large data set, and what changed in 2026? A real data set published before the course and used through it, assumed by some Paper 2 questions. From September 2026 there is one data set for every two-year cohort. OCR says the pre-release material "will be relevant to some (but not all) of the questions in component 02" and calls it "comparable to a set text for a literature course." Questions assume the student knows its contexts and has explored it with a spreadsheet or statistics software; in the exam there is no printout, though selected data or summaries may be printed in the paper. The arrangement changed in the August 2026 version of the specification. OCR explains that "Three different LDS have been created", that before September 2026 the exams cycled through them in sequence, and that "From September 2026 all students following a two year AS/A Level Mathematics B (MEI) programme of study will use a single Large Data Set." Students starting Year 12 in September 2026 should therefore check which data set their teacher is using, and not rely on revision guides written for the older cycle. 1. Download the data set and its notes from OCR's H640 resources, not from a third-party site. 2. List every variable with its units and what a typical value looks like. 3. Draw two or three diagrams in a spreadsheet and write one sentence on what each shows. 4. Take a small random sample, test a claim about it, then compare with the whole data set, as OCR's suggested activities describe. 5. Before the exam, practise reading printed summaries from the data and deciding what they cannot tell you. A passage we wrote ## Practise the comprehension section: a short passage and questions, ours This is a passage we wrote in the style of a comprehension task, with our own questions and answers. It is not an OCR or MEI passage. **Our passage: square roots by averaging.** To estimate √a for a positive number a, start with any positive guess x0. If x0 is too large, then a/x0 is too small, and the truth lies between them. A sensible next guess is their mean, x1 = ½(x0 + a/x0), and the process repeats as xn+1 = ½(xn + a/xn). After the first step every estimate is at least √a, by the inequality between the arithmetic and geometric means (1). The method improves very quickly: once an estimate is close, each step roughly doubles the number of correct decimal places (2). ### Question 1, check With a = 5 and x0 = 2, find x1 and x2. Answer: x1 = ½(2 + 2.5) = 2.25, and x2 = ½(2.25 + 5/2.25) = 2.236111..., already within 0.00005 of √5 = 2.236068... ### Question 2, fill the gap at (1) Show xn+1 ≥ √a. Answer: xn+1 − √a = (xn2 − 2xn√a + a) ÷ 2xn = (xn − √a)2 ÷ 2xn, which is never negative for xn > 0. ### Question 3, explain (2) The same identity shows the new error is the old error squared, divided by 2xn. For √5 the errors run 0.0139, then 0.0000431, then about 0.0000000004: squaring a small error roughly doubles its count of zeros. Notice what the questions reward. Question 1 is routine technique. Question 2 asks the student to supply algebra the passage only asserted, which means reading the reference marker, finding the claim, and proving it in two lines. Question 3 asks for an explanation in words, backed by the algebra from Question 2. That is the pattern we drill: technique, then argument, then explanation, in that order, on a fresh passage roughly every fortnight in Year 13. **Our Paper 1 example.** A 3 kg block on a smooth horizontal table is joined by a light inextensible string over a smooth pulley to a 2 kg mass hanging freely. Taking g = 9.8 m s−2, the equation for the whole system is 2g = 5a, so a = 3.92 m s−2, and for the block alone T = 3a = 11.76 N. The words smooth, light and inextensible are modelling assumptions, and naming them is part of the answer. | # | Our question | Paper | Answer | | --- | --- | --- | --- | | 1 | Express (5x + 1)/((x − 1)(x + 2)) in partial fractions. | 1, 2 or 3 | 2/(x − 1) + 3/(x + 2) | | 2 | Find the sum of 3r − 1 for r = 1 to 20. | Any | 610 | | 3 | Solve cos 2x = 0.5 for 0° ≤ x ≤ 360°. | Any | 30°, 150°, 210°, 330° | | 4 | A particle has velocity v = 6t − t2 m s−1. How far does it travel between t = 0 and t = 6? | 1 | 36 m | | 5 | X ~ B(15, 0.35). Find P(X ≥ 8). | 2 | 0.113 | | 6 | Using xn+1 = ½(xn + 7/xn) with x0 = 3, find x1. | 3 | 8/3, about 2.667 | The passage, questions, examples and practice set were written by us on 31 October 2026. OCR publishes past papers, including comprehension papers, on its [H640 qualification page](https://www.ocr.org.uk/qualifications/as-and-a-level/mathematics-b-mei-h630-h640-from-2017/). Rules and entry ## What else should an H640 student know before the exams? Formulae are printed in the paper, the calculator needs two features, every paper is retaken together, and private candidates must be UK-based. | Topic | What the specification says | | --- | --- | | Formulae | Given on pages 2 and 3 of each question paper; the list is in section 5d | | Calculator | Must comply with the JCQ Instructions for conducting examinations; expected features are an iterative function such as an ANS key, and summary statistics with binomial and Normal probabilities | | Retakes | Learners can retake as many times as they wish, but must retake all components | | Private candidates | May enter through an OCR approved centre; must be based in the UK | | Accreditation | Ofqual QN 603/1002/9 | | Command words | The same OCR list as H240, including show detailed reasoning | That last row matters for Paper 3 in particular. The comprehension section often asks the student to show a result, and OCR's meaning of "show that" is that every step must be covered because the answer is already given. A passage question is lost more often to a skipped line than to a wrong one. Progression ## How the two years build towards Paper 3 Reading mathematics is taught as a skill from Year 12, not left to the final term. | Stage | Usually | Sign that it is done | | --- | --- | --- | | 1. Secure algebra | Start of Year 12 | Fractions, indices and factorising done accurately at speed | | 2. Pure with explanation | Year 12 | Each pure topic ends with a written sentence explaining why the method works | | 3. Applied and data | Late Year 12 into Year 13 | Mechanics with named assumptions; statistics on the single 2026 data set | | 4. Passages and papers | Year 13 | An unseen passage every fortnight, plus timed full papers | ### Why explanation starts early Students who only ever compute find their first passage strange. Students who have written a sentence after every method do not. It costs a few minutes a lesson. ### Where our passages come from We write them ourselves, on iteration, sequences, proof and applications of calculus. OCR's own past comprehension papers are used as published, for timed practice. The catalogue ## Nine courses near OCR MEI A level Maths Arranged by purpose. The free lesson helps us point to the right one. I ### Core For H640 itself UK / ME1 / 01 #### A level maths Pure, mechanics and statistics, with passage practice. [Open the syllabus](/courses/a-level-maths-course-pure-mechanics-statistics) UK / ME1 / 02 #### Statistics and probability Extra depth for Paper 2 and the data set. [Open the syllabus](/courses/statistics-probability-maths-course) UK / ME1 / 03 #### A level further maths Core pure and options for Further Maths students. [Open the syllabus](/courses/a-level-further-maths-course)II ### Support Shoring up the basics UK / ME2 / 01 #### GCSE mathematics Higher GCSE secured before Year 12. [Open the syllabus](/courses/gcse-mathematics-mastery) UK / ME2 / 02 #### Algebra foundations For the student whose algebra trips every topic. [Open the syllabus](/courses/algebra-foundations-masterclass) UK / ME2 / 03 #### Maths through coding Python versions of the iterative methods in the passage above. [Open the syllabus](/courses/maths-through-coding)III ### Stretch Beyond the specification UK / ME3 / 01 #### TMUA and STEP For applicants to maths, computing and economics degrees. [Open the syllabus](/courses/tmua-mat-step-preparation-course) UK / ME3 / 02 #### Competition mathematics Problem solving at olympiad level. [Open the syllabus](/courses/olympiad-competition-mathematics-mastery) UK / ME3 / 03 #### College mathematics A look ahead at first-year university maths. [Open the syllabus](/courses/college-mathematics-complete-masterclass) How classes run ## A passage on the table every other week Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. We book every lesson in UK time; our team teaches from India, which has no clock change, so winter and summer slots differ by an hour on our side only. Late afternoon A common choice for Year 12. Evening After homework and part-time work. Saturday or Sunday morning Long enough for a whole Paper 3. ### Fortnightly passages An unseen piece of pure maths, read and questioned in class. ### Written reasons Every method closes with a sentence saying why it works. ### The 2026 data set Spreadsheet work on the single data set now in use. ### Named assumptions Smooth, light and inextensible written into mechanics answers. ### Section A speed Short questions timed so the long ones get the minutes. ### Batch or 1-on-1 A batch of 15 to 20 students, or one-to-one teaching. Student work ## Projects students built in lessons Made in class for practice, not for an exam. A wider set is on [student labs](/student-labs). ![NutriLife AI nutrition coach project screenshot](/images/projects/nutrilife.webp) AI and ML #### NutriLife An AI nutrition coach that reads what you eat and works you toward a target. by Bhavya · [Open it](https://nutrilife-bhavya.lovable.app) ![Misti AI chatbot for maths and coding screenshot](/images/projects/misti.webp) AI and ML #### Misti A chatbot that answers mathematics and programming questions, built and deployed by a student. by Harshit · [Open it](https://misti.modernagecoders.com) ![GuardianX AI internet safety assistant screenshot](/images/projects/guardianx.webp) AI and ML #### GuardianX An assistant that helps a young person recognise unsafe situations online. by Vivaan · [Open it](https://guardianx-cybersaver.lovable.app) ![SkyCast weather forecast application screenshot](/images/projects/skycast.webp) Web app #### SkyCast A weather forecasting site with live conditions for any location. by Krish Fees ## Fees for OCR MEI H640 classes Outside India we charge a single monthly fee in US dollars. You try a lesson free first, and pay only once the course and a regular slot are agreed. Free first class USD 0 no card required - A free H640 lesson, passage or topic - An honest view of Paper 3 readiness - Arranged by phone or WhatsApp Book it Group batch USD 100 a month, billed in US dollars - A batch of 15 to 20 sixth formers - One teacher across Year 12 and Year 13 - Fortnightly comprehension practice - A quieter timetable during exams Start here One to one USD 150 a month, billed in US dollars - A teacher for one student - Built around mocks and other subjects - Suits a student retaking all three papers Enquire What families say ## Rated 4.9 across 547 Google reviews What parents wrote on Google, unchanged. ★★★★★ "The one step solution for my son. Modern Age Coders make learning coding so simple that kids love it. The teachers explain complex concepts clearly with practical exercises and interactive content." Ria Mukherjee Parent ★★★★★ "Modern Age Coders has been a game-changer for me. I struggled to grasp IT concepts and coding before joining, but their classes transformed everything. I can now confidently write complex programs with ease." Samriddha Mondal Student ★★★★★ "One of the most wonderful education centres out there. Education is not limited to school syllabus but focuses on skill development." Vansh Agarwal Student ★★★★★ "My child Dhairya is really enjoying the Modern Age Coders classes. This is his first online class and he eagerly looks forward to it. I can already see his improvement, and the teachers are very cooperative." Sonam Oswal Parent of Dhairya ★★★★★ "Modern Age Coders have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence and inspires them to learn without hesitation." Sonu Goyal Parent ★★★★★ "I highly recommend this computer coding class! The teachers are incredibly knowledgeable and passionate about coding." Ritu Kedia Parent H640 questions ## Common questions about OCR MEI A level Maths ### What is the MEI A level Maths comprehension paper? It is the last section of Paper 3, Pure Mathematics and Comprehension. It carries 15 marks of questions on an unseen passage based on the pure content, after 60 marks of ordinary pure questions. ### How long is OCR MEI A level Maths Paper 3? Two hours, the same as Papers 1 and 2, but for 75 marks instead of 100. The extra time per mark allows for reading the passage. ### Is OCR MEI the same as OCR A? No. Both are Cambridge OCR A levels in Mathematics, but MEI (H640) pairs pure with mechanics on Paper 1 and with statistics on Paper 2, and has the comprehension paper. OCR A (H240) has three 100-mark papers and no comprehension section. ### What percentage is each MEI paper worth? Papers 1 and 2 are each 36.4 per cent of the A level and Paper 3 is 27.3 per cent. OCR gives the exact shares as four elevenths, four elevenths and three elevenths. ### Which large data set does MEI use from 2026? OCR says that from September 2026 every student on a two-year course uses a single large data set, replacing the earlier cycle through three. Check the current file on OCR's H640 page with your teacher. ### Can you revise for an unseen passage? Yes, by practising the skills rather than the content: checking a stated step, filling a gap in an argument, applying a method to new numbers and explaining a result in words. Past comprehension papers from OCR are useful timed practice. ### Are formulae given in OCR MEI exams? Yes, on pages 2 and 3 of each question paper. Results not on that list must be known. ### Can I resit one MEI paper? No. OCR says learners who retake must retake all components of the qualification. ### When are your MEI classes held? Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Every time is given in UK time. ### Are you connected with MEI or OCR? No. Modern Age Coders is independent of MEI, OCR and Cambridge University Press and Assessment. Our passage and questions on this page are our own. Elsewhere on this site ## More for A level mathematicians The other OCR specification, Further Maths and admissions tests. ### [A level maths tuition online](/a-level-maths-tuition-online) Our page for every board. ### [Further maths tuition online](/further-maths-tuition-online) For students taking the second maths A level. ### [TMUA preparation](/tmua-preparation) The admissions test for many maths degrees. ### [Is A level Further Maths worth it?](/is-a-level-further-maths-worth-it) A plain view of the extra commitment. ### [Coding classes in the UK](/coding-classes-in-united-kingdom) All our UK pages in one list. ## Related pages in this guide Part of the guide: [UK maths exam boards and specification codes](/uk-maths-exam-boards-and-specification-codes) ### A level maths and further maths - [AQA A level Maths 7357 help](/aqa-a-level-maths-7357-help) - [Edexcel A level Maths 9MA0 help](/edexcel-a-level-maths-9ma0-help) - [OCR A level Maths H240 help](/ocr-a-level-maths-h240-help) - [CCEA A level Maths help](/ccea-a-level-maths-help) - [WJEC A level Maths help (Wales)](/wjec-a-level-maths-help-wales) - [AQA A level Further Maths 7367 help](/aqa-a-level-further-maths-7367-help) - [Edexcel A level Further Maths 9FM0 help](/edexcel-a-level-further-maths-9fm0-help) - [Further Maths when your school does not offer it](/further-maths-when-your-school-does-not-offer-it) - [A level maths tuition online](/a-level-maths-tuition-online) ### GCSE maths - [AQA GCSE Maths 8300 help](/aqa-gcse-maths-8300-help) - [Edexcel GCSE Maths 1MA1 help](/edexcel-gcse-maths-1ma1-help) - [OCR GCSE Maths J560 help](/ocr-gcse-maths-j560-help) - [CCEA GCSE Maths help](/ccea-gcse-maths-help) - [GCSE Mathematics and Numeracy help, Wales](/gcse-maths-and-numeracy-wales-help) - [GCSE Foundation maths tutor online](/gcse-foundation-maths-tutor-online) - [GCSE Higher maths grade 9 tutor](/gcse-higher-maths-grade-9-tutor) - [GCSE Statistics tutor online](/gcse-statistics-tutor-online) - [AQA Level 2 Further Maths 8365 help](/aqa-level-2-further-maths-8365-help) - [OCR FSMQ Additional Maths 6993 help](/ocr-fsmq-additional-maths-6993-help) - [GCSE maths tuition online](/gcse-maths-tuition-online) - [AQA vs Edexcel vs OCR GCSE maths](/aqa-vs-edexcel-vs-ocr-gcse-maths) ### International GCSE and Cambridge International - [Cambridge IGCSE Maths 0580 help](/cambridge-igcse-maths-0580-help) - [IGCSE Additional Maths 0606 help](/cambridge-igcse-additional-maths-0606-help) - [Edexcel International GCSE Maths A 4MA1 help](/edexcel-international-gcse-maths-a-4ma1-help) - [Edexcel IGCSE Further Pure Maths 4PM1 help](/edexcel-igcse-further-pure-maths-4pm1-help) - [IGCSE maths for home-educated students](/igcse-maths-for-home-educated-students-uk) - [Cambridge A Level Maths 9709 help](/cambridge-a-level-maths-9709-help) - [Cambridge A level Further Maths 9231 help](/cambridge-a-level-further-maths-9231-help) - [IGCSE maths tuition online](/igcse-maths-tuition-online) ### Scotland - [Scottish primary maths tutor online](/scottish-primary-maths-tutor-online) - [S1 to S3 maths tutor online](/s1-s3-maths-tutor-online-scotland) - [National 5 Maths tuition online](/national-5-maths-tuition-online) - [National 5 Applications of Maths help](/national-5-applications-of-maths-help) - [Higher Maths tuition online](/higher-maths-tuition-online) - [Advanced Higher Maths tuition online](/advanced-higher-maths-tuition-online) ### International Baccalaureate - [IB MYP maths tutor online](/ib-myp-maths-tutor-online) - [IB Maths AI SL tutor online](/ib-maths-ai-sl-tutor-online) - [IB Maths IA guidance](/ib-maths-ia-guidance) - [IB Extended Essay in maths or computer science](/ib-extended-essay-maths-computer-science-mentoring) - [IB maths tuition online](/ib-maths-tuition-online) More guides: [UK maths year by year, Reception to Year 11](/uk-maths-year-by-year-guide) · [UK selective school maths tests: 7+, 11+, 13+ and 16+](/uk-selective-school-maths-tests-guide) · [UK university admissions: maths tests and computing applications](/uk-university-admissions-maths-and-computing-guide) · [UK maths enrichment, competitions and able pupils](/uk-maths-enrichment-and-competitions-guide) Start here ## Book a free MEI class Give us a number and we will call at a UK time you choose. In the first lesson the student reads a short passage of ours and answers two questions on it, so we both see how Paper 3 is likely to go. Reading before you book? Each [course](/courses) lists its topics, [how we teach](/how-we-teach) sets out our method, and [student labs](/student-labs) has work from class. [WhatsApp us](https://wa.me/919123366161?text=Hello%20Modern%20Age%20Coders%2C%20I%20would%20like%20a%20free%20first%20class%20for%20OCR%20MEI%20A%20level%20Maths%20H640.) · [+91 91233 66161](tel:+919123366161) · [connect@modernagecoders.com](mailto:connect@modernagecoders.com) For the fastest answer use WhatsApp, which costs nothing from a UK number. Our replies come from a +91 number in India. ### Want a class sooner? Book a priority demo A priority demo is a full class of about 45 to 60 minutes. After the class the mentor sends a written skill report and a personal learning roadmap on WhatsApp. If you enrol, the demo fee is adjusted against your first month's fee. 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