A-level Further Maths

Further Maths A-level builds on A-level Maths and broadens your ability to understand complex topics and problem solve at an advanced level.
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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


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.

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