Skip to content

Further Mathematics

  • A-Level
  • AS Level

If you are curious about topics such as the square roots of negative numbers, exploring how transformations of shapes can be described more precisely using mathematics, or deepening your understanding of the subject as a whole, then A-Level Further Mathematics is an excellent choice.

If you are curious about topics such as the square roots of negative numbers, exploring how transformations of shapes can be described more precisely using mathematics, or deepening your understanding of the subject as a whole, then A-Level Further Mathematics is an excellent choice.

To study this subject, we recommend you have a Grade 8 in GCSE Mathematics to ensure you can succeed in A-level Further Maths.

Further Mathematics is only available to students who are also studying A-level Mathematics. It is typically studied as a full A-Level course; however, we also support students who wish to complete the AS qualification upon request.

What will you learn?

On the A-Level Further Mathematics course, you will extend and deepen your mathematical knowledge beyond A-Level Mathematics. You will study advanced topics such as complex numbers, matrices and further calculus, developing strong analytical and problem-solving skills. Alongside the core content, you will explore optional modules in Mechanics and Decision Mathematics, applying mathematical techniques to model physical systems and to solve problems involving algorithms, networks and optimisation.

Course Components

Futher Proof

Complex Numbers

Matrices

Further Algebra & Functions

Further Calculus

Further Vectors

Polar Coordinates

Hyperbolic Functions

Differential Equations

Numerical Methods

Further Mechanics

Decision Mathematics

Skills you will develop

Advanced Mathematical Reasoning

You will develop the ability to understand and work with more abstract mathematical ideas, building clear and logical arguments to explain complex concepts.

Independent Thinking

Further Mathematics encourages you to explore unfamiliar problems and apply a range of mathematical techniques independently, strengthening your confidence in tackling challenging material.

Algorithmic & Strategic Thinking

Through topics such as Decision Mathematics, you will learn how to design and apply algorithms to solve problems involving networks, optimisation and efficient decision-making.

Advanced Mathematical Problem Solving

Applying mathematical skills to understand physical laws and calculations.

Students who study this subject, often have these careers...

Architecture

Architecture combines creativity with mathematical precision, using geometry, measurement and structural calculations to design buildings that are both functional and visually striking.

Engineering

Strong mathematical problem-solving skills underpin engineering careers, where complex calculations and modelling are used to design structures, systems and new technologies.

Business & Finance

Mathematical skills are essential in finance, where professionals analyse markets, manage risk and use data to make informed investment decisions.

Computer Science & Programming

Logical thinking and mathematical reasoning form the foundation of computer science, supporting the development of algorithms, software and innovative digital solutions.

How is this Subject Assessed?

The course is assessed by examination.

AQA

A mix of question styles, from short, single-mark questions to multi-step problems. 

  • For AS Level you will be assessed at the end of Year 12
  • For A-Level you will be assessed at the end of Year 13

AS Level

Paper One: Pure Maths

1hr 30min 50% of AS level grade

AS Level

Paper Two: Mechanics & Decision

1hr 30min 50% of AS level grade

A-Level

Paper One: Pure Maths

2hr 33% of total grade

A-Level

Paper Two: Pure Maths

2hr 33% of A-Level grade

A-Level

Paper Three: Applied Maths - Mechanics & Decision

2hr 33% of A-Level grade

Who will teach you?

Mrs J Lambert

Head of Mathematics

Mr J Ball

Assistant Head of Mathematics

Ms N Imtiaz

Teacher of Mathematics

Mrs A Lee

Teacher of Mathematics

Mr M Rees

Teacher of Mathematics

Mrs K Poole

Teacher of Mathematics

Students who study this subject, often get accepted at...

University of Manchester

Explore

Durham University

Explore

University of Exeter

Explore

Students who study this subject, often also study...

Biology

  • AS Level
  • A-Level

Physics

  • A-Level
  • AS Level

Psychology

  • A-Level

Discover More

Our mission is to nurture confident, considerate and intellectually curious young women.