A-level Further Maths

Edexcel
Further Maths A-level builds on A-level Maths and broadens your ability to understand complex topics and problem solve at an advanced level.
Trustpilot Rated 4.6/5 :: 2,407 reviews
Oxbridge Foundation Fund now DOUBLED to £50,000 - Get part‑funded courses today.
Ends 11:59pm Monday 1st July.
  Fast Track
  98% Pass Rate
  Exam Pass Guarantee
  Online Learning
  Unlimited Tutor Support

A-level Mathematics Edexcel online course

Do you know your polar coordinates from your hyperbolic functions? Your vectors from your matrices? If you have a love for all things mathematical and the skills and patience to solve complex problems, then our Edexcel Further Maths A-level is the course for you.

With the unlimited support and guidance of your personal tutor, you’ll learn to construct and present mathematical arguments through diagrams, graphs and symbols, develop your understanding of modelling assumptions, solve quadratic equations with real coefficients and much more.

Whilst A-Level Maths focuses on core topics such as calculus and trigonometry, A-level Further Maths takes a deeper look at mathematical principles. It is important to note that you must have already completed A-level Maths or must enrol on A-level Maths alongside this Further Maths Course.

What you will learn

  1. Unit 1 - Core Mathematics 1

    • Proof
    • Complex numbers
    • Matrices
    • Algebra and functions
    • Calculus
  2. Unit 2 - Core Mathematics 2

    • Vectors
    • Polar coordinates
    • Hyperbolic functions
    • Differential equations
  3. Unit 3 - Further pure mathematics 1

    • Further trigonometry
    • Further calculus
    • Further differential equations
    • Co-ordinate systems
    • Further vectors
    • Further numerical methods
    • Inequalities
  4. Unit 4 - Further pure mathematics 2

    • Groups
    • Further calculus
    • Further matrix algebra
    • Further complex numbers
    • Number theory
    • Sequences and series
  5. Unit 5 - Statistics 1

    • Discrete probability distributions
    • Poisson and binomial distributions
    • Geometric and negative binomial distributions
    • Hypothesis testing
    • Central limit theorem
    • Chi-squared testing
    • Probability generating functions
    • Quality of tests
  6. Unit 6 - Statistics 2

    • Linear regression
    • Continuous probability distributions
    • Correlation
    • Combination of random variables
    • Confidence intervals
    • Other hypothesis tests
    • T distribution confidence tests
  7. Unit 7 - Mechanics 1

    • Kinematics & projectile motion
    • Dynamics
    • Resultant forces, friction, & equilibrium
    • Newton’s Laws of Motion
    • Moments
  8. Unit 8 - Mechanics 2

    • Motion in a circle
    • Centre of mass
    • Further dynamics
    • Further kinematics
  9. Unit 9 - Decision 1

    • Algorithms
    • Graphs
    • Critical path analysis
    • Linear programming
  10. Unit 10 - Decision 2

    • Transportation problems
    • Allocation problems
    • Flows in networks
    • Dynamic programming
    • Game theory
    • Recurrence relationship
    • Decision analysis
  11. Unit 11 - Preparing for the Core Papers 1 and 2

    Each exam is:

    • 1 hour & 30mins
    • 75% marks
    • 25% of the A-Level
    • A calculator may be used
  12. Unit 12 - Preparing for Paper 3 (Option 1)

    • 3A Further Pure Maths 1
    • 3B Further Statistics 1
    • 3C Further Mechanics 1
    • 3D Decision Mathematics 1
  13. Unit 13 - Preparing for Paper 4 (Option 2)

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

Awarding Body

Edexcel Logo

Edexcel is the UK’s largest awarding organisation offering academic and vocational qualifications in schools, colleges and workplaces in the UK and abroad. Edexcel is a multinational education and examination body covering A-Level Courses and GCSE Courses.

View our other Edexcel qualifications.

Endorsed by

UCAS Logo

This course carries UCAS points. This means that it can be used to gain direct access to university courses and other higher education qualifications, through the UCAS system.

Visit our other UCAS endorsed products

Course Outcome

Upon successful completion of this home learning course, you will receive the official qualification: A-level Further Maths, issued by Edexcel. Your certificate is identical to that issued to students at any other school, college or university.

This syllabus (9FMO) has been chosen specifically because it is best suited to distance learning.

How is this course assessed or examined?

For this course you’ll be required to complete four standard Edexcel assessments:

  • Paper 1 (core unit): 1 hour 30 minutes, 25% of A-level, 75 marks
  • Paper 2 (core unit): 1 hour 30 minutes, 25% of A-level, 75 marks

Written Exams:

  • Paper 3: 1 hour 30 minutes, 25% of A-level, 75 marks
  • Paper 4: 1 hour 30 minutes, 25% of A-level, 75 marks

For papers 3 and 4, students choose two options from the following eight:

Option 1 Papers:

  • Further Pure Mathematics 1
  • Further Statistics 1
  • Further Mechanics 1
  • Decision Mathematics 1

Option 2 Papers:

  • Further Pure Mathematics 2
  • Further Statistics 2
  • Further Mechanics 2
  • Decision Mathematics 2

Note: There are restrictions on which papers can be taken together – either: any two Option 1 papers OR a matching pair of Option 1 and Option 2 papers.

Entry requirements

It is strongly recommended that you have studied Mathematics GCSE (e.g. grades 6-9 / grade B-A*) or an equivalent level before starting this course. You must already have an A-level in Maths or be studying A-level Maths alongside Further Maths. Further Maths isn’t available as a separate course because the course content follows a specific order in relation to A-level Maths. If you intend to study both A-level Maths and A-level Further Maths with Oxbridge, or need to take it as part of the requirements for a particular degree, we can guide you as to which topics you will need to cover.

This A-level Further Maths syllabus is a difficulty level three: the equivalent difficulty of an A-level or BTEC, which is usually suitable for most learners of all ages.

Courses Taught by Experts

Kelly

Counselling and Psychology

I always knew that a career focused around helping people achieve their goals was perfect for me. That’s why I became a tutor. I love to see my student’s confidence flourish as they progress through their courses. It’s important to help them fit their learning goals around their personal commitments so they have the best chance of success! 

Kelly, tutor

Sarah

Education and Childcare

My 30-year stride in education started with childminding, to working with pupils with Special Educational Needs and Disabilities. I then tutored in a national reading programme and went on to become a Higher-Level TA. I’m elated to say I graduated with a First-Class BA Honours Degree when I was 50 – living proof that it’s never too late to chase your dreams!

Sarah

Penny

STEM and History of Art

Marine biology, jellyfish conservationist, hairdresser, fitness instructor… I have an eclectic backstory! Art is my passion and one of my proudest moments was achieving my Masters in Fine Art. I then requalified as an Art teacher to share my knowledge with my students. For most of my career, I’ve supported vulnerable students with additional needs such as SEMH and SEN.

penny-tc_compressed

Faye

Early Years

Beginning my career as an early years practitioner inspired me to step into the world of teaching. I have since elevated my skillset through a range of qualifications including L3 in Assessing Vocational Achievement, L3 in Education & Training and L4 in Internal Quality Assurance. I’m a big kid at heart; I love Disney movies and also dabble in photography.  

faye-h_compressed

Laura

Health care

For 10+ years, my passion for helping learners develop and grow has driven my career as a teacher. To help me progress even further, I am currently studying to achieve the IQA award. I love reading and I’m a self-professed Harry Potter fan. Talk to me about all things history, rock music, tattoos and true crime podcasts. 

Laura, tutor