OCR AS Further Maths B (MEI) specification (H645)

Understanding the exam specification is key to doing well in your OCR AS Further Maths B (MEI) exam. It lays out exactly what you need to learn, how you'll be assessed, and what skills the examiners seek. Whether you're working through the course for the first time or revising for your final exams, the specification helps you stay focused and confident in your preparation.

We've included helpful revision tools to support you in putting the specification into practice. Wherever you're starting from, you'll find everything you need to feel prepared, from the official specification to high-quality resources designed to help you succeed.

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In the next section, you'll find a simplified summary of the official OCR AS Further Maths B (MEI) specification, along with a breakdown of key topics, assessment structure, and useful study resources. We've also included links to topic-level guides and revision tools to help you put the specification into practice.

Disclaimer

This page includes a summary of the official OCR AS Further Maths B (MEI) (H645) specification, provided to support your revision. While we've made every effort to ensure accuracy, Save My Exams is not affiliated with the awarding body.

For the most complete and up-to-date information, we strongly recommend consulting the official OCR specification PDF.

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Specification overview

OCR AS Level in Further Mathematics B (MEI) is designed to foster deeper mathematical understanding, problem-solving, and logical reasoning. The course supports learners in expanding their mathematical skills, especially those who may pursue mathematics, engineering, science, or economics at higher education. It builds on prior learning and introduces advanced techniques in algebra, calculus, and applications, providing breadth through choice of optional papers. The specification promotes connections between different areas of mathematics, the use of appropriate technology, and encourages mathematical modelling, communication, and proof construction. It aims to instil confidence, resilience, and independence in mathematical thinking, preparing learners for progression in mathematical disciplines:contentReference[oaicite:0]{index=0}.

Subject content breakdown

1 Core Pure (Mandatory)

  • Proof by deduction, exhaustion, counter-example, and induction.
  • Complex numbers including arithmetic, modulus-argument form, loci, De Moivre's theorem.
  • Matrices: arithmetic, inverses, linear transformations, determinants, and use in solving equations.
  • Vectors and 3D space: scalar and vector products, equations of planes, lines, intersections, and distances.
  • Algebra: roots of polynomials and relationships.
  • Series: summation methods, Maclaurin series.
  • Calculus: improper integrals, volumes of revolution, integration techniques including trigonometric substitutions, differential equations with methods like integrating factors.
  • Polar coordinates: sketching curves, area under curves.
  • Hyperbolic functions and their inverses.
  • Differential equations: SHM, damped oscillations, coupled equations.

2 Major Options (Choose one)

  • Mechanics Major: Equilibrium, forces, work-energy principle, momentum, impulse, collisions (including oblique), circular motion, Hooke’s Law, centre of mass, vectors with variable forces.
  • Statistics Major: Sampling, discrete and continuous random variables, bivariate data, chi-squared tests, normal distribution, inference, simulation.

3 Minor Options (Choose depending on route)

  • Mechanics Minor
  • Statistics Minor
  • Modelling with Algorithms
  • Numerical Methods
  • Extra Pure
  • Further Pure with Technology

Overarching Themes Applied Across Content

  • Mathematical argument, proof, modelling, problem solving, and the mathematical problem-solving cycle.
  • Use of technology and mathematical software integrated into content delivery:contentReference[oaicite:1]{index=1}.

Assessment structure

Core Pure (Y420) - Mandatory Paper

  • 2 hours 40 minutes, 144 raw marks.
  • Section A: straightforward questions.
  • Section B: mixed questions.
  • 50% of total A Level.
  • Calculator allowed.

Major Options (Mechanics Major Y421 or Statistics Major Y422)

  • 2 hours 15 minutes, 120 raw marks.
  • Mechanics Major includes equilibrium, forces, work-energy, momentum, collisions, circular motion, Hooke’s law, centre of mass, and variable forces.
  • Statistics Major includes discrete/continuous random variables, bivariate data, hypothesis testing, confidence intervals, simulation.
  • 33⅓% of total A Level.

Minor Options

  • 1 hour 15 minutes, 60 raw marks (1 hour 45 minutes for Further Pure with Technology).
  • Topics include Mechanics Minor, Statistics Minor, Modelling with Algorithms, Numerical Methods, Extra Pure, Further Pure with Technology.
  • 16⅔% of total A Level.
  • May take multiple minors for breadth; results follow set grading rules.

Assessment Objectives

  • AO1 (40%): Knowledge and understanding.
  • AO2 (40%): Application and problem-solving.
  • AO3 (20%): Interpretation, modelling, mathematical reasoning.

Key Features

  • Linear assessment model.
  • Technology and calculators allowed as per guidelines.
  • Extended response, synoptic assessment, and application of overarching themes integral.
  • Grading from A* to E with total qualification time appropriately allocated.
  • Practical and technological elements assessed in specific papers like Further Pure with Technology:contentReference[oaicite:2]{index=2}.

Key tips for success

Doing well in your OCR AS Further Maths B (MEI) isn't just about how much you study, but how you study. Here are a few proven tips to help you stay on track

  • Start with a clear plan: Break the subject into topics and create a revision schedule that allows enough time for each. Start early to avoid last-minute stress.
  • Focus on understanding, not memorising: Use our revision notes to build a strong foundation in each topic, making sure you actually understand the material.
  • Practise regularly: Attempt past papers to familiarise yourself with the exam format and timing. Mark your answers to see how close you are to full marks.
  • Be strategic with your revision: Use exam questions by topic to focus on weaker areas, and flashcards to reinforce important facts and terminology.
  • Learn from mistakes: Whether it's from mock exams or practice questions, spend time reviewing what went wrong and why. This helps prevent repeat mistakes in the real exam.
  • Stay balanced: Don't forget to take regular breaks, eat well, and get enough sleep, a healthy routine makes revision much more effective.

With the right approach and consistent practice, you'll build confidence and improve your chances of exam success.

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Frequently Asked Questions (FAQs)

You can download the official specification directly from the OCR website, or right here on this page using the PDF Specification Download button. Alongside the specification, we've made it easy to access all the essential revision resources you'll need, including topic summaries, past papers, and exam-style practice questions, all matched to the current specification.
Treat the specification like a checklist. Use it to track your progress, identify areas that need more work, and ensure you're covering everything that might appear in the exam. Our linked resources for each topic will help you revise more effectively.
Always refer to the Exam Code and First Teaching Year shown at the top of this page. These details confirm which version of the specification you're studying. If your course or materials refer to a different code, double-check with your teacher or exam centre.