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Private A-Level Further Mathematics tutors

We will find you an A-Level Further Mathematics tutor who will help you get an A* and boost your confidence.

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We keep things as simple as possible. Our objective is to make finding a tutor convenient, efficient and effective.

Read the full process
01

Fill out an online form

Complete an application online which will be received by one of our dedicated Learning Advisors

02

Get matched with a tutor

Our experienced Learning Advisor will review your application, and match you with the most appropriate tutor based on your application

03

Tutor makes contact

Once we confirm with the tutor, the tutor will make contact to organise your first session.

04

Have your first lesson

Our tutors will work around your schedule to organise a session whenever you would like. Only pay for tutoring you have completed.

Choose between top performing students or qualified A-Level teachers

Either way, we use our bespoke matching process to find you a tutor based on your preferences, exam board and location.

Academic Tutors

from $60 USD/hr

Top performing graduates who achieved A*/A grades in the subject they teach.

How we select them
  • We accept only the top 5% of tutor applicants.
  • Each tutor is chosen for their academic results, teaching ability, and connection with students.
Choose this if you want

Relatable role model: work with a tutor who is similar in age and can be a peer

Affordability: academic tutors are more cost-effective than professional tutors

First-hand experience: they sat these papers recently and know what worked

Professional Tutors

from $85 USD/hr

Current or past qualified teachers and examiners with 5+ years professional teaching experience.

How we select them
  • We only select highly experienced, qualified A-Level teachers.
  • Every teacher is assessed on their teaching expertise, subject knowledge, and ability to engage students.
Choose this if you want

Quality assurance: trained and accredited teaching qualifications

Guaranteed track record: years of experience helping students succeed

Subject expertise: deep understanding of content and exam board requirements

Due to our international operations we quote our prices in USD. Pound amounts are an indicative conversion and you will be invoiced in USD.

Academic Tutors

from £47 GBP/hr

Top performing graduates who achieved A*/A grades in the subject they teach.

Relatable role model: work with a tutor who is similar in age and can be a peer

Affordability: academic tutors are more cost-effective than professional tutors

First-hand experience: they sat these papers recently and know what worked

Professional Tutors

from £67 GBP/hr

Current or past qualified teachers and examiners with 5+ years professional teaching experience.

Quality assurance: trained and accredited teaching qualifications

Guaranteed track record: years of experience helping students succeed

Subject expertise: deep understanding of content and exam board requirements

Meet our A-Level Further Mathematics tutors

Our team is a combination of A-Level graduates who sat these exams recently and qualified teachers with years of classroom and examining experience.

Browse all tutors
Amna S, online A Level Maths & Further Maths Tutor
Amna S
$85 USD/hr
Professional

34

I hold a Bachelor’s degree in Economics and Mathematics from IBA, Karachi, where I graduated with a CGPA of 3.72. Since 2016, I have been engaged in teaching Mathematics at the O and A Level, both in-person and remotely.

Over the years, I have developed proficiency in delivering instruction across various international curricula, including:

CAIE (IGCSE & A Level)

Singapore Math

American Curriculum (Algebra, Geometry, Pre-Calculus)

In addition to curriculum-based teaching, I prepare students for standardized tests such as the DSAT (Digital SAT) Math section, and coach students for international mathematics competitions, including IKMC and SASMO.

I have been conducting online classes since 2017 using platforms such as Zoom and Google Meet, and am fully equipped to manage virtual instruction effectively. I am passionate about creating engaging, concept-focused learning environments that cater to diverse student needs.

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Andrew G, online A Level Further Maths Tutor
Andrew G
$85 USD/hr
Professional

50

Andrew G is an experienced Mathematics educator and Head of Senior School Mathematics at Redhill School. With a background in Biomedical Engineering and extensive experience teaching advanced Mathematics, including IB Higher Level, he brings strong subject knowledge and a practical approach to A Level tutoring.

His philosophy is simple: “think smart, not hard.” Andrew focuses on conceptual understanding, efficient problem-solving and examination technique rather than memorising methods. He has experience supporting students across the ability spectrum, from those rebuilding their confidence to high-performing Mathematics Olympiad students.

His structured and engaging approach helps students develop the confidence and mathematical thinking needed to succeed in A Level Mathematics.

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Aster A, online A Level Further Maths, Pure Maths & Physics Tutor
Aster A
$85 USD/hr
Professional

48

Aster is an experienced international educator with a Bachelor's degree in Physics and several years of experience teaching and tutoring students across a range of international curricula, including Cambridge, Australian, and other globally recognised programs. She specialises in Physics, Mathematics, Science, English, and academic skills development, and has worked with students from primary school through to senior secondary levels.

Throughout her career, Aster has taught students from diverse cultural and educational backgrounds, including Australian students in online learning environments. Her experience extends beyond subject content to helping students develop critical thinking, problem-solving, exam techniques, academic writing, and independent learning skills. She is also experienced in supporting students with essay writing, research projects, and assessment preparation.

Aster's teaching approach focuses on making complex concepts clear, engaging, and accessible. She adapts lessons to each student's learning style and believes that strong understanding is built through curiosity, confidence, and active participation. Students and parents appreciate her patient, supportive, and encouraging manner, as well as her ability to explain challenging topics in a simple and relatable way.

With a strong background in science education and a passion for helping students achieve their academic goals, Aster is committed to helping every student build confidence, improve performance, and enjoy the learning process.

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Mukul D, online A Level Maths, Further Maths & Chemistry Tutor
Mukul D
$60 USD/hr
Academic

36

Mukul has tutored more than a thousand students (both Online and Classroom teaching in person) all over the world. He has worked as an Academic Tutor with Revision Village and Crimson Education, supporting school students for IB, A Levels, IGCSE and AP exams. Previously, he held Academic Head and Academic Director positions at Tutela Education. He had also gained experience working as a Math Instructor at The Princeton Review where he worked on improving test scores by inculcating time management skills and test taking strategies.

Mukul brings a proven track record of academic excellence, student success, and personalized instruction. With more than nine years of experience teaching Mathematics and Chemistry across international curricula and mentored students exclusively from Auckland, Berlin, Brisbane, Calgary, Chicago, Dubai, Hanoi, Jakarta, London, Los Angeles, Miami, Moscow, New Delhi, New Jersey, Perth, San Francisco, Seattle, Shanghai, Singapore, Sofia, Tashkent, Tokyo, Toronto, Vancouver, and Zurich. He has supported students across IB, AP, A-levels, AQA, Edexcel, OCR, American, British, European Baccalaureate, IGCSE, Canadian, and NCEA curricula. These experiences have enabled him to develop an adaptable teaching style for his students and help them achieve their academic goals. He likes to take up challenges for short term assignments to prepare struggling students right before the exams. His students have been admitted to top undergraduate programmes at Cambridge, Stanford, Princeton, Cornell, Duke, Brown and many more. Mukul holds an Engineering degree in Biotechnology and worked as a Junior Scientist at a Bioelectronics startup after completing his Bachelor's. As a student, he secured 99.05 percentile on the JEE Mains exam in 2013, competing with over 1.1 million applicants. Hobbies - Playing Cricket and Football.

In class, he is always thinking from your level, putting himself in your shoes and giving you the best opinions and strategies to apply. He tries to break the ice between the student and teacher asap, so he can understand their concerns and help them in an efficient way. He will constantly push you to your limits, so that you achieve as per your capability. His lessons are full of laughter and enthusiasm. He will make sure that you learn Math in the simplest manner. He believes in his students and gets things done via them, so that his students realise their potential. He knows that every student has a unique learning pattern and never backs away from giving extra time beyond the session timings to make sure the student understands the concept entirely. He strives to see the smile on his students' faces after watching them get over their weakness. He shares a great camaraderie with his students, and makes sure they are not trying to mug up the concepts rather understand them and finally derive them, which is the only way they get to know how to apply them, where to apply them.

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Özgür A, online A Level Maths, Further Maths & Physics Tutor
Özgür A
$60 USD/hr
Academic

32

Özgür is completing his M.Sc. in Physics at Heidelberg University, Germany’s oldest university, with research in computational quantum physics. He holds a B.Sc. in Physics from Boğaziçi University, one of Turkey’s top universities, where he studied on a national merit scholarship and all teaching was in English.

He has tutored mathematics and physics since 2019, including GCSE and IGCSE students, and teaches A-Level Mathematics, Further Mathematics and Physics across all major exam boards, including AQA, Edexcel, OCR and Cambridge International. A-Level content such as calculus, mechanics, electricity and statistics is the basis of his own degrees and research, so he can explain not just how to solve a problem but why the method works.

He has written exam-style mathematics questions for Oxford University Press and created maths and physics learning material for online platforms, so he knows how good exam questions are built and how to prepare students for them. As a former university teaching assistant for Mathematical Methods in Physics, he knows where students tend to get stuck and how to get them past it. His research also gives him real strength in data analysis and uncertainties, a big help with A-Level Physics practical work.

Özgür’s lessons are clear, structured and patient. He finds the exact point where a student’s reasoning goes wrong, rebuilds the idea step by step, and builds the exam technique and confidence students need for top grades.

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Petros T, online A Level Maths & Further Maths Tutor
Petros T
$85 USD/hr
Professional

20

Petros's academic journey began at the University of Crete, Greece, where he pursued his passion for Applied Mathematics. He then earned a Master’s degree in Applied Mathematics from Imperial College London. It was in London that he naturally transitioned from academia to education—a decision he considers one of the best of his life.

His career in education has been both dynamic and fulfilling. From serving as a Lead Practitioner for A Level Mathematics in London schools to teaching the International Baccalaureate Diploma Programme, Petros has embraced the challenges of education while consistently delivering high-quality learning experiences to students from diverse backgrounds. He has also been an examiner of Edexcel/Pearson, Cambridge and IBDP for a number of years, consistently marking Further Maths, Pure/Mechanics abd IBDP papers. His teaching journey has taken him to breathtaking destinations such as Malaysia, Indonesia, Thailand, and he now works in Cambodia, where he continues to foster intellectual curiosity among his students.

Beyond the classroom, Petros enjoys padel, running, hiking, traveling, and cooking for friends. He believes in maintaining a well-rounded lifestyle and lives by the motto “Mens sana in corpore sano”—"A healthy mind in a healthy body.

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Samuel A, online A Level Maths, Further Maths & Chemistry Tutor
Samuel A
$85 USD/hr
Professional

18

Samuel has three masters degrees - MSc Energy and Sustainable Management, MSc Advanced Chemical Engineering and LLM International Business and Commercial Law. Samuel's first degree was in BSc Petrochemical Engineering (First Class). Samuel is also a Qualified Teacher in the UK and has been teaching for over 10 years. Samuel also has several years of examining experience, and hence highly specialised and skilled in tutoring students. Samuel had A in mathematics, A in chemistry, A Biology and A in Physics. Samuel has been an A Level Maths and Further Mathematics Examiner since 2024. I tutor A Level and Further Mathematics as well as Chemistry, Physics and Biology.

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Taiwo O, online A Level Maths, Further Maths & Physics Tutor
Taiwo O
$60 USD/hr
Academic

12

I’m Taiwo, a tutor with ten years of teaching and tutoring experience and a B.Sc. in Electronic and Electrical Engineering from Obafemi Awolowo University. I teach A-level, GCSE and IGCSE students, bringing together subject knowledge, classroom experience and a patient, practical approach to learning.

My subjects include Mathematics, Further Mathematics, Physics, Chemistry, Biology, English Language and Computer Science. My current GCSE teaching includes AQA Mathematics at Foundation and Higher levels and AQA English Language. My engineering background strengthens my teaching of Mathematics and Physics, while my professional software development experience allows me to connect computing concepts with practical applications.

I plan lessons around what each student needs. Some need to rebuild foundations; others understand the content but struggle to apply it in unfamiliar exam questions. I identify those gaps, explain ideas clearly and guide students towards solving problems independently. In Mathematics, that means understanding why a method works and recognising when to use it. In Science, it means connecting concepts, calculations and experimental evidence. In English, it means moving beyond identifying techniques to developing thoughtful analysis supported by precise examples.

Students can expect structured lessons, personalised homework and detailed feedback. I use past papers and mark schemes to help them understand what questions demand, improve the clarity of their answers and develop effective revision habits. I track difficulties across lessons so that we revisit what needs attention rather than simply move through topics.

I currently work with international learners, including students in the UK and Hong Kong, and understand the importance of adapting explanations to different educational and language backgrounds. I want students to feel comfortable asking questions, willing to attempt challenging work and able to recognise their own progress. My aim is to build secure understanding, greater independence and confident exam preparation.

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Vanessa L
$60 USD/hr
Academic

25

Vanessa is an Aeronautical Engineering undergraduate at Imperial College London who demonstrated exceptional academic drive by independently self-studying and completing A-Level Mathematics and Further Mathematics early in Year 12. As one of only 13 students in the UK in her cohort to achieve a perfect sweep of 13 Grade 9s at GCSE, she brings a proven track record of top-tier academic excellence alongside over two years of dedicated tutoring experience. She has successfully guided students across Edexcel, AQA, and more to reach their full potential.

Vanessa adopts a structured, growth-oriented approach, starting with diagnostic feedback to target fundamental concepts before progressing to rigorous exam-style question practice. Empathetic, flexible, and disciplined, she instils confidence and resilience in her tutees while providing out-of-hours support to ensure they always feel fully supported.

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The tutors you see here are just a selection from our team of hundreds of tutors, please contact our Learning Advisors to discuss tutoring options

Why A-Level Further Mathematics needs the right tutor

What makes A-Level Further Mathematics hard

A-Levels move faster and go deeper than anything students have done before, and they are studied alongside two or three other subjects at the same level. Classes are taught to the middle of the room, so gaps are easy to carry forward unnoticed until the exam.

  • A sharp step up in difficulty from GCSE
  • Marks decided by technique, not recall
  • Grades that determine university options

How tutoring changes the outcome

One-to-one tutoring targets the two things a classroom cannot: exam technique and the specific topics a student keeps getting wrong. A tutor marks work the way an examiner would, shows where the marks went, and then drills those areas until they hold. Confidence follows from that, not the other way round.

  • Exam technique built on real past papers
  • Targeted work on areas of weakness
  • Confidence going into the exam

What you'll learn in A-Level Further Mathematics tutoring

Core skills developed

On the UK boards (AQA, OCR, Edexcel and WJEC) Further Mathematics uses the same three assessment objectives as Mathematics. Standard techniques carry about 50%, and the specifications guarantee at least 15% each for reasoning and communication and for problem solving, with the exact balance depending on the options you take. On OCR and Edexcel, for example, mechanics options carry more problem-solving marks and pure options more reasoning marks. Cambridge tilts the other way from its single Mathematics syllabus, with 55% on application and communication and 45% on knowledge and understanding, and OxfordAQA puts 50–60% on rigorous argument and proof. We work through past-paper questions objective by objective, so you can see which skill is costing you marks.

  • Complex numbers, including Argand diagrams, loci and de Moivre’s theorem
  • Matrices and transformations, and their use in solving systems of equations
  • Proof by induction and rigorous algebraic argument
  • Further calculus: hyperbolic functions, polar coordinates, series and differential equations
  • Applying these methods in your board's mechanics, statistics or decision options

How are students assessed

Further Mathematics is assessed entirely by written exams, with no coursework, and a calculator is allowed throughout. Every board combines a compulsory core of further pure mathematics with applied or extra pure options, so two students with the same grade may have sat quite different papers. AQA, OCR and Edexcel examine everything in one summer series at the end of the course. Cambridge, WJEC, Edexcel International and OxfordAQA let you bank AS papers or units first.

  • Core pure questions: complex numbers, matrices, proof and calculus, drilled against real past papers and mark schemes
  • Extended proofs and derivations: we practise writing every step so method marks are secure even when the final line slips
  • Option papers: we teach to the options on your entry and rehearse their specific question styles to time

What A-Level Further Mathematics topics do we cover?

OxfordAQA A-Level

Four units sat from five papers. The International AS is Unit FP1 (Pure maths) and Unit FPSM1 (Pure maths, statistics and mechanics), each 1 hour 30 minutes, 80 marks and 20% of the A-level. The International A-level adds Unit FP2 (2 hours 30 minutes, 120 marks, 37.5%) and either Unit FS2 (Statistics) or Unit FM2 (Mechanics), each 1 hour 30 minutes, 80 marks and 22.5%. Exams run in January and May/June, and any unit can be resat with the best result counting.

International AS

  • Unit FP1: FP1.1 Algebra and graphs to FP1.7 Calculus, including complex numbers and series
  • Unit FPSM1: 40 marks of pure (FPP1.1 Matrices and transformations, FPP1.2 Linear graphs, FPP1.3 Numerical methods), 20 marks of statistics and 20 marks of mechanics

International A-level

  • Unit FP2: FP2.1 Roots and polynomials to FP2.14 Solution of linear equations, including de Moivre’s theorem, hyperbolic functions and differential equations
  • Unit FS2: moment generating functions, estimators, estimation and further hypothesis testing
  • Unit FM2: vertical circular motion, projectiles on inclined planes, elastic strings and springs, collisions in two dimensions and simple harmonic motion

OxfordAQA mirrors its Mathematics structure, so Further Mathematics students take one long pure paper in the second year and specialise in either statistics or mechanics. FPSM1 assumes the whole of International AS Mathematics (9660) as well as Unit FP1. OxfordAQA has announced a revised specification (9765) for first teaching from 2027. Sessions on this board concentrate on Unit FP2 and on your chosen applied unit.

WJEC A-Level

Offered by WJEC in Wales only; Eduqas does not offer A level Further Mathematics in England. Three compulsory AS units, each 1 hour 30 minutes and 70 marks, together make up 40% of the A level. At A2 you take Unit 4 (2 hours 30 minutes, 120 marks, 35%) and either Unit 5 or Unit 6 (1 hour 45 minutes, 80 marks, 25%). All units are sat in the summer series.

AS

  • AS Unit 1: Further Pure Mathematics A
  • AS Unit 2: Further Statistics A
  • AS Unit 3: Further Mechanics A

A2

  • A2 Unit 4: Further Pure Mathematics B (compulsory)
  • A2 Unit 5: Further Statistics B, or
  • A2 Unit 6: Further Mechanics B

WJEC makes both further statistics and further mechanics compulsory at AS before you specialise at A2, and there is no decision mathematics option. The single long Unit 4 paper carries over a third of the A level. Sessions on this board give priority to Unit 4 and to your chosen applied unit.

IAL A-Level

Six units, each a 1 hour 30 minute, 75-mark paper worth 16⅔% of the IAL. FP1 is compulsory, together with either FP2 or FP3 and four applied units, or with FP2 and FP3 and three applied units. The IAS is FP1 plus two further units. FP1–FP3, M3, S3 and D1 are offered in January and June, and M1, M2, S1 and S2 also in October. You cannot be awarded IAL Further Mathematics until you have been awarded IAL Mathematics, and units used for one qualification cannot be reused for the other.

Further pure units

  • FP1: Further Pure Mathematics 1
  • FP2: Further Pure Mathematics 2
  • FP3: Further Pure Mathematics 3

Applications units

  • M1: Mechanics 1
  • M2: Mechanics 2
  • M3: Mechanics 3
  • S1: Statistics 1
  • S2: Statistics 2
  • S3: Statistics 3
  • D1: Decision Mathematics 1

Edexcel IAL Further Mathematics is built from units not already used for IAL Mathematics, so the two qualifications together need twelve different units, and the route through both has to be planned from the start. The A* needs an overall A plus at least 270 of the 300 uniform marks on your best three IA2 units. Sessions on this board help you plan the unit route and push performance in FP2, FP3 and the higher applied units.

EDEXCEL A-Level

Four 1 hour 30 minute, 75-mark papers, each worth 25% of the A level, all sat in May/June of the same year. Papers 1 and 2 (Core Pure Mathematics 1 and 2) are compulsory and can examine any core pure topic. You then take two optional papers: either any two Option 1 papers or a matching Option 1 and Option 2 pair, giving ten possible combinations.

Papers 1 and 2 · Core Pure Mathematics

  • Proof
  • Complex numbers
  • Matrices
  • Further algebra and functions
  • Further calculus
  • Further vectors
  • Polar coordinates
  • Hyperbolic functions
  • Differential equations

Option 1 papers

  • 3A: Further Pure Mathematics 1
  • 3B: Further Statistics 1
  • 3C: Further Mechanics 1
  • 3D: Decision Mathematics 1

Option 2 papers

  • 4A: Further Pure Mathematics 2
  • 4B: Further Statistics 2
  • 4C: Further Mechanics 2
  • 4D: Decision Mathematics 2

Edexcel's pairing rules mean an Option 2 paper can only be taken with its matching Option 1 paper, so choosing Further Mechanics 2, for example, commits you to Further Mechanics 1 as well. The assessment objective balance varies with the route, with Further Mechanics 1 carrying the most problem-solving marks. Sessions on this board follow your two options and practise them alongside the core pure papers.

OCR A-Level

OCR offers two Further Mathematics A Levels. Further Mathematics A (H245) has four 90-minute, 75-mark papers, each worth 25%: two compulsory Pure Core papers and two optional papers. Further Mathematics B (MEI) (H645) has a compulsory Core Pure paper worth 50% plus options chosen through Route A, B or C. Both are linear, with all papers in one series. We match tutors to the specification code on your exam entry.

Further Mathematics A · H245

  • Pure Core 1 (Y540) and Pure Core 2 (Y541): 4.01 Proof, 4.02 Complex Numbers, 4.03 Matrices, 4.04 Further Vectors, 4.05 Further Algebra, 4.06 Series, 4.07 Hyperbolic Functions, 4.08 Further Calculus, 4.09 Polar Coordinates, 4.10 Differential Equations
  • Two of: Statistics (Y542), Mechanics (Y543), Discrete Mathematics (Y544), Additional Pure Mathematics (Y545)

Further Mathematics B (MEI) · H645

  • Core Pure (Y420): 2 hours 40 minutes, 144 raw marks, 50%
  • Major options, 2 hours 15 minutes, 33⅓%: Mechanics Major (Y421), Statistics Major (Y422)
  • Minor options, 1 hour 15 minutes, 16⅔%: Mechanics Minor (Y431), Statistics Minor (Y432), Modelling with Algorithms (Y433), Numerical Methods (Y434), Extra Pure (Y435), Further Pure with Technology (Y436, 1 hour 45 minutes)
  • Route A: Core Pure, Mechanics Major and one minor. Route B: Core Pure, Statistics Major and one minor. Route C: Core Pure and three minors

OCR's Further Mathematics A includes an Additional Pure Mathematics option covering topics such as number theory and groups. MEI offers the widest choice of minors, but OCR is withdrawing Further Pure with Technology (Y436): September 2026 is its final first teaching and Summer 2028 its final exam, with no resit. Sessions on this board are built around your exact combination of papers.

AQA A-Level

Three two-hour, 100-mark papers, each worth 33⅓% of the A-level, all sat in the same summer series. Papers 1 and 2 can assess any of the compulsory content. Paper 3 is split into two answer booklets, one for each of the two optional applications you study.

Compulsory content · Papers 1 and 2

  • A: Proof
  • B: Complex numbers
  • C: Matrices
  • D: Further algebra and functions
  • E: Further calculus
  • F: Further vectors
  • G: Polar coordinates
  • H: Hyperbolic functions
  • I: Differential equations
  • J: Numerical methods

Optional applications · Paper 3 (two of three)

  • Optional application 1 – mechanics (MA: Dimensional analysis to ME: Centres of mass and moments)
  • Optional application 2 – statistics (SA: Discrete random variables (DRVs) and expectation to SH: Confidence Intervals)
  • Optional application 3 – discrete mathematics (DA: Graphs to DG: Binary operations)

AQA gives two thirds of the qualification to compulsory pure content, and its Paper 3 carries a much higher share of problem-solving marks (about 35%) than Papers 1 and 2. The discrete option includes topics such as game theory and binary operations not found in the other options. Sessions on this board give most time to the compulsory content and practise Paper 3 as two half-papers to time.

CIE A-Level

Four papers, all compulsory for the full A Level. Paper 1 (Further Pure Mathematics 1) and Paper 2 (Further Pure Mathematics 2) are each 2 hours, 75 marks and 30%. Paper 3 (Further Mechanics) and Paper 4 (Further Probability & Statistics) are each 1 hour 30 minutes, 50 marks and 20%. The AS is Paper 1 with either Paper 3 or Paper 4, and you can take it first and carry the result forward. Exams run in June and November.

Paper 1 · Further Pure Mathematics 1

  • 1.1 Roots of polynomial equations
  • 1.2 Rational functions and graphs
  • 1.3 Summation of series
  • 1.4 Matrices
  • 1.5 Polar coordinates
  • 1.6 Vectors
  • 1.7 Proof by induction

Paper 2 · Further Pure Mathematics 2

  • 2.1 Hyperbolic functions
  • 2.2 Matrices
  • 2.3 Differentiation
  • 2.4 Integration
  • 2.5 Complex numbers
  • 2.6 Differential equations

Paper 3 · Further Mechanics

  • 3.1 Motion of a projectile
  • 3.2 Equilibrium of a rigid body
  • 3.3 Circular motion
  • 3.4 Hooke’s law
  • 3.5 Linear motion under a variable force
  • 3.6 Momentum

Paper 4 · Further Probability & Statistics

  • 4.1 Continuous random variables
  • 4.2 Inference using normal and t-distributions
  • 4.3 χ²-tests
  • 4.4 Non-parametric tests
  • 4.5 Probability generating functions

Cambridge has no optional papers at A Level: everyone sits both further pure papers, Further Mechanics and Further Probability & Statistics. Paper 4 assumes the probability and statistics content of 9709 Papers 5 and 6, and Paper 6 is not part of every Mathematics route. Sessions on this board cover both applied papers in full and fill any gaps left by your Mathematics route.

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FAQs

We have answers to your most frequently asked questions. Anything not answered here, please reach out to our team.

How much does A-Level Further Mathematics tutoring cost?

A-Level Further Mathematics with an academic tutor costs from $60 USD (£45) per hour, and packages save 5–15%, helpful when studying it alongside Mathematics. Pay as you go is invoiced after each lesson, with no lock-in contracts. Professional tutors (qualified teachers and examiners) cost from $85 USD (£64) per hour. See pricing.

Late cancellations and no-shows are charged at half the lesson fee. That applies if you cancel less than one hour before the start time, or don't turn up. You can still change a session time whenever you need to, as long as you give your tutor notice.

Who are your A-Level Further Mathematics tutors?

Our academic tutors achieved an A* or A in A-Level Further Mathematics, and our professional tutors are qualified teachers or examiners with 5+ years' experience. Only the top 5% of applicants are accepted. We match you to a tutor who knows your board and your options, whether that is Edexcel decision mathematics, OCR's MEI route or Cambridge's further statistics. Learn more about our tutors and how we select tutors.

How does A-Level Further Mathematics tutoring work?

Tutoring is one-to-one and online, with a tutor matched to A-Level Further Mathematics, your exam board and your target grade. Lessons focus on your weakest topics using past paper questions from your board, including the exact option papers on your entry. Much of the work is writing proofs and derivations so every step an examiner needs is visible, and filling gaps where Further topics rely on Mathematics content you have not yet met. See how it works or begin with the student application.

Is A-Level Further Mathematics hard?

Yes. It assumes the whole of A-Level Mathematics and then goes further, often while you are still learning the single Mathematics course. Complex numbers, matrices and hyperbolic functions have no GCSE equivalent, and questions expect rigorous proof rather than routine calculation. Marks are most often lost through incomplete proofs by induction, sign or conjugate errors in long derivations, and leaning on calculator functions without showing working. Our online A-Level tutoring helps students keep both courses in step.

How hard is it to get an A* in A-Level Further Mathematics?

In summer 2026, 29.0% of UK A-Level Further Mathematics entries achieved an A*, and 58.9% achieved A* or A (JCQ), from 21,032 entries. Those rates look high, but the cohort is small and very strong, so boundaries are high and a single slip is expensive. An A* needs rigorous, complete proofs, accurate complex number and matrix work, and confident answers in your applied options.

What are the grade boundaries for A-Level Further Mathematics?

Grade boundaries are set after each series, change every year and, in Further Mathematics, also depend on your options. In June 2026, AQA's A* boundary was 239 out of 300 (80%) for the mechanics and discrete route, and Pearson Edexcel's was 273 out of 300 (91%) for Further Pure 1 with Further Mechanics 1. Cambridge's June 2026 A* threshold for 9231 was 214 out of 250 (86%). See the official tables from AQA, Pearson and Cambridge.

Does A-Level Further Mathematics have coursework or a practical endorsement?

No. Further Mathematics has no coursework and no practical endorsement on any board, so the grade comes entirely from written exams. What does vary is the papers you sit: on AQA, OCR and Pearson Edexcel your school chooses applied or extra pure options, so two students with the same grade may have taken different papers, whereas Cambridge 9231 makes all four papers compulsory. Check the option rules in the Pearson Edexcel specification before choosing a route.

How is A-Level Further Mathematics assessed?

A-Level Further Mathematics is assessed entirely by written exams that combine a compulsory core of further pure mathematics with optional papers. AQA sets three two-hour, 100-mark papers, each worth a third, with Paper 3 covering two applied options. Pearson Edexcel sets four 1 hour 30 minute, 75-mark papers worth 25% each: two Core Pure papers and two options. Cambridge 9231 has no options and lets you bank the AS first: Further Pure 1 and 2 (2 hours, 30% each), Further Mechanics and Further Probability & Statistics (1 hour 30 minutes, 20% each). See the AQA specification.

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