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IB Doctor
A Level

A Level Further Mathematics Tutoring

The most mathematically demanding A Level. Our expert tutors help you master complex numbers, matrices, and advanced proof.

Whether you're working through Core Pure content in Year 12, tackling further calculus and optional modules in Year 13, or preparing for four challenging papers, our tutors provide structured expert support tailored to your exam board and chosen options.

Matched in 24h
A & A* grade tutors
First session guarantee
4.8/5 Trustpilot

What You Get with A Level Further Mathematics Tutoring

Comprehensive support designed to help you achieve your target grade

Exam Mastery

  • Core Pure 1 & 2 paper technique - the most abstract content in A Level maths
  • Optional module strategy: Further Statistics, Further Mechanics, or Decision Maths
  • Past paper practice with detailed mark scheme analysis
  • Proof, rigour, and mathematical communication at degree level

Optional Modules

  • Further Statistics: distributions, hypothesis testing, non-parametric tests
  • Further Mechanics: energy, collisions, circular motion, dimensional analysis
  • Decision Mathematics: graph theory, algorithms, linear programming, networks
  • Tailored to whichever modules your school is teaching

Concept Building

  • Complex numbers: Argand diagrams, De Moivre's theorem, loci
  • Matrices: transformations, eigenvalues, eigenvectors, diagonalisation
  • Further calculus: hyperbolic functions, volumes of revolution, arc length
  • Regular progress tracking and personalised study plans
Real student results

Students Improving Their Further Mathematics Grades

B → A*
"Eigenvalues and diagonalisation made no sense to me until my tutor explained them geometrically. Everything in Core Pure 2 fell into place after that."
T

Tariq M.

A Level Further Mathematics, AQA, Summer 2024

C → A
"De Moivre's theorem was one of those topics I'd memorised steps for without understanding why. My tutor rebuilt my understanding from scratch and my marks jumped."
A

Alice C.

A Level Further Mathematics, Edexcel, Summer 2024

B → A
"Decision maths was the optional module I was least prepared for. A few sessions with a specialist tutor and it became my most reliable paper."
S

Sam H.

A Level Further Mathematics, OCR, Summer 2023

How It Works

Simple steps to get started with A Level Further Mathematics tutoring

1

Buy a Bundle

Choose 3 to 100 hours based on your needs. Split across subjects if needed.

2

Complete Onboarding

Tell us your exam board, year group, weak areas, goals, and scheduling preferences.

3

Get Matched & Start

Matched within 24 hours. Schedule your first session immediately.

First Session Guarantee

Not satisfied? Contact us within 24 hours. We'll address concerns, offer a rematch, or provide a full refund.

AS Level vs Full A Level: What's the Difference?

We support students at both stages - here's how they compare

Area
AS Level (Year 12)
A Level (Year 12–13)
Content Covered
Core Pure foundations: complex numbers, matrices, series, proof by induction
Core Pure completion, polar coordinates, hyperbolic functions, differential equations, plus optional modules in depth
Qualification
AS Further Mathematics (alongside A Level Maths Year 12)
Full A Level Further Mathematics - 4 papers
Papers
2 papers - Core Pure only
4 papers - 2 Core Pure + 2 optional module papers
Mathematical Depth
Complex numbers, matrices, series, first-order recurrences
Eigenvalues, de Moivre's theorem, further integration, differential equations systems
Relationship to A Level Maths
Taken simultaneously with A Level Mathematics Year 12
Completed alongside A Level Mathematics Year 13 - both A Levels sat at the same time

A Level Further Mathematics Syllabus Coverage

Our tutors are experienced with all major A Level Further Mathematics exam boards - AQA, OCR, Edexcel, and Cambridge. The Core Pure content is challenging even for strong mathematicians - targeted support makes a real difference to marks.

1
Complex Numbers

  • Cartesian and modulus-argument form
  • Argand diagrams and geometric interpretation
  • De Moivre's theorem and roots of unity
  • Loci of complex numbers
  • +1 more

2
Matrices

  • Matrix multiplication and inverses
  • Transformations in 2D and 3D
  • Determinants and their geometric meaning
  • Eigenvalues and eigenvectors
  • +1 more

3
Further Pure Algebra & Calculus

  • Proof by induction: series, divisibility, matrix results
  • Roots of polynomials (sum and products of roots)
  • Polar coordinates and polar curves
  • Hyperbolic functions and their inverses
  • +1 more

4
Further Differential Equations

  • First-order linear differential equations (integrating factor)
  • Second-order ODEs: complementary function and particular integral
  • Systems of differential equations
  • Numerical methods for ODEs
  • +1 more

5
Decision Mathematics (Optional)

  • Graph theory: Dijkstra's, Kruskal's, Prim's algorithms
  • Travelling salesman problem and route inspection
  • Linear programming: graphical and Simplex method
  • Critical path analysis and network flows
  • +1 more

6
Further Statistics / Mechanics (Optional)

  • Probability distributions: Poisson, geometric, negative binomial
  • Non-parametric tests: Wilcoxon, Mann-Whitney
  • Momentum and impulse: collisions in 2D
  • Circular motion with variable speed
  • +1 more
Assessment breakdown

A Level Further Mathematics Assessment Structure

Understand exactly how you'll be assessed and prepare strategically for each component

Exam boards covered:AQAOCREdexcelCambridge

Paper 1 - Core Pure 1

Written Exam
Weighting
25%

Core Pure Mathematics: complex numbers, matrices, further algebra, proof by induction

2 hours
Mix of short answer and extended-response questions
Complex numbers, matrices, series and induction, roots of polynomials, volumes of revolution

Paper 2 - Core Pure 2

Written Exam
Weighting
25%

Further Core Pure Mathematics: polar coordinates, hyperbolic functions, further differential equations

2 hours
Mix of short answer and extended-response questions
Polar coordinates, hyperbolic functions, further calculus, differential equations, eigenvalues

Paper 3 - Optional Module A

Written Exam
Weighting
25%

One of: Further Statistics 1, Further Mechanics 1, or Decision Mathematics 1

2 hours
Mix of short answer and extended-response questions
Depends on school choice - check your specification

Paper 4 - Optional Module B

Written Exam
Weighting
25%

One of: Further Statistics 2, Further Mechanics 2, or Decision Mathematics 2

2 hours
Mix of short answer and extended-response questions
Depends on school choice - check your specification

Grade Boundaries (Summer 2024)

Grade
Min. %
A*
77%+
A
62%+
B
51%+
C
41%+
D
31%+
E
21%+

Grade boundaries shift each session. These are indicative based on recent exam-board data.

Key Assessment Notes

  • A Level Further Mathematics is always taken alongside A Level Mathematics - both are sat in the same exam session
  • Optional modules vary by school - confirm which options your school is teaching before booking a tutor
  • Core Pure 1 and 2 are the most universally challenging sections - prioritise these
  • Grade boundaries shift each year based on overall cohort performance

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Frequently Asked Questions

Common questions about A Level Further Mathematics tutoring

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