A LEVEL
Further Mathematics
Further Mathematics is the exploration of complex patterns and abstract thinking that push the boundaries of problem-solving.
Tackle complex problems, question assumptions, and discover new ways to think logically and creatively.
You arrive as you are, and you’re celebrated for it. You leave ready to take on the world.
— Sixth Form student
Further Mathematics at St Paul’s challenged me to think beyond the ordinary. The encouragement I received gave me the confidence to achieve more than I imagined.
Why Choose Further Maths at St Paul’s?
Our Maths department combines expert teaching with a supportive atmosphere where every student can thrive.
- Smaller class sizes mean more tailored attention and personalised support.
- Passionate, specialist teachers who go beyond the textbook to spark curiosity.
- A community that knows and loves every student, ensuring no one is left behind.
- A subject that opens doors to future study and careers in science, business, technology, and more.
- A place where you can grow in confidence, learn collaboratively, and celebrate your achievements.
Where Further Maths Can Take You
Our Maths students go on to study engineering, economics, physics, and data science at top universities, or pursue apprenticeships where their problem-solving skills make them stand out.
I thought about leaving, but I realised no one else would care about me the way St Paul’s does. Here, I’m not starting over, I’m moving forward.
— Student Name
What You’ll Study
You’ll extend your understanding of both Pure and Applied Mathematics, exploring advanced concepts that develop exceptional analytical and problem-solving skills valued by universities and employers.
Studying Further Mathematics at St Paul’s means stretching your thinking, exploring challenging concepts, and discovering the beauty of mathematics at a higher level.
- Pure Maths – complex numbers, matrices, differential equations, vectors, and advanced algebra, geometry, and proof.
- Applied Maths – further mechanics (momentum, circular motion, centres of mass) and further statistics (distributions, hypothesis testing, statistical modelling).
Full details of the course can be found in the exam board’s official Edexcel specification.
Along the way, you’ll refine your logical reasoning, mathematical fluency, and creative problem-solving. You will develop skills that open doors to the most competitive university courses and a wide range of technical and analytical careers.
You arrive as you are, and you’re celebrated for it. You leave ready to take on the world.
— Sixth Form student
......
Further Mathematics Exam Results
...
PASS RATE
...
achieved
A* to C
...
achieved
A* to B
...
achieved
A* to A
2025
Further Mathematics Exam Results
100%
PASS RATE
...
achieved
A* to C
81%
achieved
A* to B
58%
achieved
A* to A
Entry Requirements
In addition to our standard entry requirements, a number of our courses have specific entry requirements to ensure you are ready to thrive in the subject. For Mathematics, you’ll need:
- Grade 7+ in Maths (Higher paper)
These requirements are in place to help set you up for success and make sure you have the right foundation to enjoy the challenge of Sixth Form study.
I thought about leaving, but I realised no one else would care about me the way St Paul’s does. Here, I’m not starting over, I’m moving forward.
— Student Name
Hear From Our Students
Further Maths goes beyond what you learn at A level to introduce complex and challenging theories to stretch your abstract thinking.
Mrs E Morris
SUBJECT LEADER FOR MATHS
Thank you so much for your interest in Further Mathematics at A Level. We have a fabulous team of energetic and enthusiastic maths specialists at St Paul’s ready to support you on your journey. Â
Should you have any questions at all about studying Further Mathematics at A Level, or the possible career paths beyond College, please do not hesitate to contact me.
Send me a message
We’d love to hear from you, whether you want to talk about subject choices, entry requirements, or your future career ideas.
Are you ready to stretch your thinking, embrace challenge, and explore the power of mathematics at a higher level?
Start your Further Maths journey at St Paul’s.
Whatever course you choose, you’ll be joining a community where every student is known and loved. Our mission is not just to help you succeed academically, but to help you grow as a person, supported and celebrated every step of the way.
Further MathematicsCourse Content
You will find a wide range of complex theories in this challenging, but inspiring, course to really test your problem-solving skills.Â
| PAPER 1 - 2Pure Mathematics | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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WEIGHT |
25% Per Paper |
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LENGTH |
1 Hour 30 Minutes Per Paper |
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Papers 1 and 2 are comprised of the following topics:
- Complex Numbers
- Hyperbolic Functions
- Polar Coordinates
- Further Algebra and Functions
- Further Calculus
- Differential Equations
| PAPER 3-4Applied Mathematics | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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WEIGHT |
25% Per Paper |
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LENGTH |
1 Hour 30 Minutes Per Paper |
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Papers 3 comprises of questions relating to Decisions, and Paper 4 comprises of questions relating to Mechanics:
Decisions
- Algorithms on Graph Theory
- Linear Programming
- Critical Path Analysis
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Mechanics
- Momentum and Impulse
- Elastic Strings
- Springs and Elastic Energy
- Elastic Collisions in 2D
