Edexcel A-Level Further Mathematics (9FM0) Topic Questions

If you’re studying Edexcel A-Level Further Mathematics (9FM0) and aiming for an A* grade, you’re not alone. Many students find this subject challenging because it builds on everything you’ve already learned in A-Level Mathematics — and takes it further. But the good news is: with the right study resources and strategy, that top grade is within reach.

At Exam Papers Practice, we provide targeted topic questions for Edexcel A-Level Further Mathematics (9FM0) that can help you master each section of the syllabus.

Here you will find all A Level Further Mathematics Edexcel Topic questions to revise by topic and exam board with mark scheme and video solution

MANDATORY CORE PURE PAPERS

Note: This resource is suitable for Teachers and Students teaching/reviewing/practicing in preparation for the examinations

Paper 1: Core Pure Mathematics 1 (*Paper code: 9FM0/01)

Paper 2: Core Pure Mathematics 2 (*Paper code: 9FM0/02)

OPTIONAL PAPERS

Note: This resource is suitable for Teachers and Students teaching/reviewing/practicing in preparation for the examinations.
Students are permitted to take more than the two optional papers if they want to extend their course of study.

Option 1 Papers

Pure Mathematics 1

Statistics & Mechanics 1

Further Statistics 1

Further Mechanics 1

Option 2 Papers

Pure Mathematics 2

Statistics & Mechanics 2

Other Useful Review Materials for this Subject

Explore a curated collection of additional resources to support your revision for Edexcel A Level Further Mathematics (9FM0). From formula sheets to topic summaries, these materials are designed to deepen your understanding and boost your exam preparation.

Algebra & Functions

Evaluate Limits Using L'Hopital's Rule

Evaluate Limits Using Maclaurin's Series

Finding Maclaurin's Series

Graphs of Modulus and Reciprocals

Inequalities of Polynomials

Limits of Rational Polynomials

Modulus Equations and Inequalities

Oblique Asymptotes and Range of Rational Functions

Root Relationshhips (Quartics)

Root Relationships (Quadratics)

Sketching Rational Graphs

Solving Rational Inequalities Algebraically

Using Common Maclaurin's Series

Using Common Series

Calculus

Arc Length of Curves

Differentiating Inverse Trigonometric Functions

Improper Intergrals

Integrating Using Inverse Trigonometry

Mean Value of a Function

Partial Fraction Integration

Reduction Formula

Surface Area of Revolution

Two Limit Rules

Volume of Revolution

Complex Numbers

Add, Subtract and Multiply

Argrand Diagrams

Complex Conjugate Pairs

Complex Solutions to Quadratics

De Moivre's Theorem

Euler's Identiy and Exponential Form

Forms of a Complex Number

Loci of Complex Numbers

Modulus and Argument

Modulus and Argument Form

Modulus & Argument Multiplication

Nth Root of a Complex Number

Rationalize Complex Numbers

Summing Using De Moivre's

Differential Equations

Auxiliary Equation

Coupled Differential Equations

Hooke's Law and Simple Harmonic Motion

Integrating Fator

Second Order Homogeneous ODEs

Second Order Inhomogeneous ODEs

Simple Harmonic Motion with Damping

Hyperbolic Functions

Differentiating Hyperbolic Trigonometric Functions

Hyperbolic Trigonometric Functions

Hyperbolic Trigonometric Identities

Integrating Hyperbolic Trigonometric Functions

Integrating Using Inverse Hyperbolic Trigonometry

Inverse Hyperbolic Trigonometric Functions

Reciprocal Hyperbolic Trigonometric functions

Matrices

Basics of Matrices

Cayley Hamilton Theorem

Determinant Factorization

Determinant of 2x2 Matrices

Determinant of 3x3 Matrices

Eigen Values and Eigen Factors

Invariant Points and Lines

Inverse of 2x2 Matrices

Inverse of 3x3 Matrices

Matrix Diagonalization

Matrix Transforms in 2D

Matrix Transforms in 3D

Multiple Matrix Transforms

Multiplying Matrices

Singularities

Solving Simultaneous Equations

Numerical Methods

Euler's Step Method

Improved Euler's Method

Mid Ordinate Rule

Simpson's Rule

Polar Coordinates

Area Under a Polar

Polar Coordinates

Sketching Polar Curves

Tangents to Polar Curves

Proof

Method of Differences

Proof by Induction (Divisibility)

Proof by Induction (Matrices)

Proof by Induction (Sequences)

Proof by Induction (Series)

Vectors

Angle Between Lines

Angle Between Two Planes

Angle Between Lines and Planes

Distance Between a Line and Point

Distance Between a Plane and Point

Distance Between Two Lines

Equation of a Line

Equation of a Plane

Intersection of Lines and Planes

Intersection of Lines

Scalar Product

Using the Vector Product

Vector Product

Other Useful Questions That Find Useful to the Course

Complex Numbers 1a & b

Complex Numbers 1b & c

Complex Numbers 1d

Matrices (Arithmetic 2x2 Inverse)

Matrices (Simultaneous Equations 3x3 Inverse)

Poisson Distribution

Algorithms on Graphs (MST and Shortest Paths)

Matrix Transformations

Matrix Transformations (Invariance)

Discrete Random Variables

Complex Numbers (Roots of Equations)

Route Inspection

Poisson (Binomial)

Roots of Polynomials

Roots of Polynomials (Inc Transformation of Roots)

Linear Programming

Proof by Induction

Chi Square Testing (Goodness of Fit)

Vector Lines (Intersections & Angles)

Vector Lines (Planes & Distances)

Chi Squared Tests (Contingency Tables)

Critical Path Analysis

Volumes of Revolution

1 Pure Mathematics

1 Proof by induction

2 Complex numbers

4 Further algebra and functions

5 Further calculus

6 Further vectors

7 Polar coordinates

8 Hyperbolic functions

9 Differential equations

10 Further trigonometry - the t-formulae

11 Coordinate systems

13 Inequalities

15 Further complex numbers

16 Number theory

2 Further Statistics

1 Discrete probability distributions

2 Poisson and binomial distributions

3 Geometric and negative binomial distributions

4 Hypothesis testing

5 Central Limit Theorem

6 Chi-squared tests

7 Probability generating functions

8 Linear regression

9 Continuous probability distributions

10 Correlation

11 Combinations of random variables

12 Estimation, confidence intervals and tests using a normal distribution.

13 Other hypothesis tests and confidence intervals

3 Further Mechanics

1 Momentum and impulse

2 Work, energy and power

3 Elastic strings and springs and elastic energy

4 Elastic collisions in one dimension

5 Elastic collisions in two dimensions

6 Motion in a circle

7 Centres of mass

8 Further dynamics

9 Further kinematics

4 Decision Mathematics

1 Algorithms and graph theory

2 Algorithms on graphs

3 Critical path analysis

4 Linear programming

5 Transportation problems

6 Allocation problems

7 Flows in networks

8 Dynamic programming

9 Game theory

10 Recurrence relations

11 Decision analysis

Why Topic Questions Are Essential for A-Level Further Maths

Edexcel A-Level Further Mathematics (9FM0) covers a wide range of topics including Core Pure Maths, Further Mechanics, Further Statistics, Decision Maths, and more. With so much content to get through, it’s easy to feel overwhelmed.

This is where topic questions become powerful. Instead of revising everything at once, you can focus on one concept at a time. Practicing topic questions:

  • Reinforces your understanding

  • Helps you identify weak areas

  • Prepares you for the style and structure of exam questions

  • Builds your problem-solving speed and accuracy

At Exam Papers Practice, we’ve organized all Edexcel A-Level Further Mathematics (9FM0) topic questions by module and sub-topic — making it super easy for you to revise strategically.

Key Areas to Focus on for Edexcel A-Level Further Mathematics (9FM0)

Some topics often appear in the final exams. Pay special attention to:

🔹 Core Pure Mathematics

  • Complex Numbers

  • Matrices

  • Proof by Induction

  • Differential Equations

  • Vectors

🔹 Further Mechanics

  • Momentum and Impulse

  • Work, Energy and Power

  • Circular Motion

🔹 Further Statistics

  • Discrete and Continuous Distributions

  • Hypothesis Testing

🔹 Decision Mathematics

  • Algorithms

  • Graph Theory

  • Linear Programming

Our website provides topic-specific practice for all these areas. This lets you build mastery in parts of the curriculum that examiners love to test.

Study Smarter, Not Harder: Proven Revision Tips

Getting an A* in Edexcel A-Level Further Mathematics (9FM0) isn’t just about studying more — it’s about studying smarter. Here are proven strategies you can start using today:

📚 Make a Revision Timetable

Dedicate more time to topics you find difficult. Schedule in regular slots for practice questions and self-testing. Stick to it.

📓 Use Active Recall

Instead of re-reading notes, test yourself often. Use flashcards, solve problems from memory, and summarize concepts aloud.

🤝 Teach Someone Else

Try explaining a difficult topic to a friend. Teaching forces you to understand the material deeply.

🔁 Spaced Repetition

Don’t cram! Review each topic multiple times over weeks. This method locks the information in your long-term memory.

🧠 Prioritize Understanding Over Memorizing

Mathematics is logical. Focus on why formulas work instead of just memorizing them. Our fully worked solutions help you understand the logic behind every step.

Are You Having Trouble with Your Studies? Get the Help You Need Today

If you’re struggling with your studies and looking for extra support, why not consider hiring a tutor or enrolling in summer school or Easter revision services? Whether you’re aiming to boost your grades or better understand complex topics, targeted revision can make a big difference. Accessing the right resources is crucial, and there are multiple options available to help you succeed.

Why Consider a Tutor for Your Studies?

A personal tutor can provide tailored support based on your individual learning needs. Tutors offer one-on-one sessions that focus on the areas where you need the most improvement. Whether it’s mathematics, science, or language arts, a tutor can provide targeted strategies and techniques to ensure that you understand key concepts and are prepared for upcoming exams.

Summer School and Easter Revision Services: A Great Opportunity

Summer and Easter revision services are an excellent way to prepare for exams while still having time to relax. These sessions are structured to help you revisit your syllabus, revise key topics, and practice with exam papers. These services offer intensive study periods, which can be highly beneficial for students aiming to refresh their knowledge and boost confidence.

Accessing the Board Syllabus for Efficient Studying

Accessing your exam board’s syllabus is one of the most effective ways to stay on track during your revision. The syllabus provides a clear outline of the topics you need to cover and allows you to prioritize areas that require more attention.

The comprehensive Edexcel A-Level Further Maths (9FM0) Specification ensures that you are following the right path and studying the correct resource material.

Where to Find the Best Educational Services

For further support, you can check out services offered by our Sister Companies Lite Regal International College and Lite Regal Education, both of which provide expert tutors and revision resources. Whether you need a tutor for personalized lessons or are looking to join a revision group, these services have a wide range of options to fit your study needs.

Edexcel A-Level Further Mathematics (9FM0) may be tough, but with the right tools and a consistent study routine, success is absolutely possible. Use the topic questions on Exam Papers Practice daily. Stick to the study tips shared in this article. Track your progress, stay curious, and don’t give up — your A* is waiting for you.