MS
Mrs Sophie Anderson, parent
June 2026
Verified
A*My son found complex numbers completely opaque. After four sessions building from first principles, he could solve Argand diagram problems with confidence. He a...
AQA Further Maths · London
A-Level specialist tutoring
A-Level Further MathematicsTutoring
Specialist 1-on-1 A-Level Further Maths tutoring for AQA, Edexcel, OCR, and CIE. Master complex numbers, matrices, further calculus, and reach Grade A or A*.
91%
reach Grade A or above
+2.0
average grade improvement
12+
years average tutor experience
Free
first lesson, no commitment
AQA Further MathsEdexcel Further MathsOCR A Further MathsCIE Further MathsAQA Further MathsEdexcel Further MathsOCR A Further MathsCIE Further MathsAQA Further MathsEdexcel Further MathsOCR A Further MathsCIE Further Maths
Built around your exact paper, not generic tutoring.
We cover every major specification. Your tutor matches your board, tier, and mark-scheme language so every lesson points toward exam performance.
AQA Further Maths7367+
Three papers: two compulsory (Core Pure 1 & 2) and one optional (Statistics, Mechanics, or Discrete). Taken alongside A-Level Maths.
Edexcel Further Maths9FM0+
Four papers: two Core Pure and two optional. Offers a wide range of optional units including Further Statistics, Further Mechanics, and Decision Mathematics.
OCR A Further MathsH245+
Three papers with compulsory Core Pure content and a choice of optional applied modules. Known for its proof-heavy Core Pure questions.
CIE Further Maths9231+
Two papers: Paper 1 (Pure) and Paper 2 (Mechanics or Statistics). Taken internationally alongside CIE A-Level Maths 9709.
AQA Further Maths
7367Three papers: two compulsory (Core Pure 1 & 2) and one optional (Statistics, Mechanics, or Discrete). Taken alongside A-Level Maths.
Edexcel Further Maths
9FM0Four papers: two Core Pure and two optional. Offers a wide range of optional units including Further Statistics, Further Mechanics, and Decision Mathematics.
OCR A Further Maths
H245Three papers with compulsory Core Pure content and a choice of optional applied modules. Known for its proof-heavy Core Pure questions.
CIE Further Maths
9231Two papers: Paper 1 (Pure) and Paper 2 (Mechanics or Statistics). Taken internationally alongside CIE A-Level Maths 9709.
Lesson flow
From confusion to calm, one lesson at a time.
Our tutors cover every compulsory and optional module — building the deep mathematical fluency that university courses demand from Further Maths students.
Step 1
Pinpoint the gaps
We start with recent marks, confidence blockers, and the exact exam board so sessions feel personal from lesson one.
Step 2
Teach the mark scheme
Tutors connect concepts to examiner language, worked examples, and the habits that turn knowledge into marks.
Step 3
Track the lift
Parents see what changed after each session: topics covered, next steps, and the grade trajectory we are building toward.
What we cover
A syllabus map students can actually follow.
1Complex Numbers+
Cartesian and polar forms, Argand diagrams, De Moivre's theorem, roots of unity, and loci in the complex plane — the topic most students find most unfamiliar.
2Matrices+
Matrix operations, determinants, inverse matrices, linear transformations, eigenvalues and eigenvectors, and solving systems of equations.
3Further Algebra & Functions+
Roots of polynomials, summing series, inequalities, inverse trigonometric functions, and further proof techniques.
4Further Calculus+
Improper integrals, reduction formulae, arc length, surface of revolution, and integration using inverse trigonometric substitutions.
5Differential Equations+
First and second-order ODEs, complementary functions, particular integrals, and modelling with differential equations.
6Further Vectors+
Lines and planes in 3D, scalar and vector products, angles between planes, and intersections — extending A-Level vectors significantly.
7Optional: Mechanics / Statistics / Discrete+
Further Mechanics (momentum, circular motion, elastic strings), Further Statistics (chi-squared tests, continuous distributions), or Decision Maths (algorithms, graph theory) — matched to your exam board's option.
Complex Numbers
Cartesian and polar forms, Argand diagrams, De Moivre's theorem, roots of unity, and loci in the complex plane — the topic most students find most unfamiliar.
Matrices
Matrix operations, determinants, inverse matrices, linear transformations, eigenvalues and eigenvectors, and solving systems of equations.
Further Algebra & Functions
Roots of polynomials, summing series, inequalities, inverse trigonometric functions, and further proof techniques.
Further Calculus
Improper integrals, reduction formulae, arc length, surface of revolution, and integration using inverse trigonometric substitutions.
Differential Equations
First and second-order ODEs, complementary functions, particular integrals, and modelling with differential equations.
Further Vectors
Lines and planes in 3D, scalar and vector products, angles between planes, and intersections — extending A-Level vectors significantly.
Optional: Mechanics / Statistics / Discrete
Further Mechanics (momentum, circular motion, elastic strings), Further Statistics (chi-squared tests, continuous distributions), or Decision Maths (algorithms, graph theory) — matched to your exam board's option.
+2.0
average grade improvement
Common blockers
Where students struggle, and how we fix it.
1Complex numbers and Argand diagrams+
Complex numbers feel abstract to most students. We build from the definition of i, through Cartesian form, to polar and exponential form — with Argand diagram sketching at every stage so the algebra has geometric meaning.
2Eigenvalues and eigenvectors+
We teach the method step-by-step: find the characteristic equation, solve for eigenvalues, substitute back to find eigenvectors. Students practise with 2×2 and 3×3 matrices until the process is reliable under exam conditions.
3Second-order differential equations+
ODE solution methods (auxiliary equation, complementary function, particular integral) are mechanical once the structure is clear. We build each component separately before combining them — and practise every variation of the particular integral form.
Real specialists
Meet tutors with examiner instincts.
Specialist tutors with board knowledge, strong academic backgrounds, and proven grade-improvement records.
Further Maths SpecialistDr Michael Hayes
Cambridge PhD Mathematics · AQA Examiner
A-Level and Further Maths (all boards), STEP preparation
Avg +2.1 grade improvement
Complex Analysis SpecialistMs Anna Kowalski
Imperial MSc Mathematics
A-Level Further Maths, STEP, MAT, Oxford admissions
93% of students reach Grade A+
Oxford AdmissionsMr Thomas Adair
Oxford MMath
Further Maths, STEP I/II/III, MAT, Oxbridge admissions
Oxbridge and Russell Group specialist
Proof that feels close to home.
KM
Kieran M., student
June 2026
Verified
AODEs and eigenvalues were the two topics holding me back. The tutor taught both from scratch with a method for every question type. I went from a C to an A.
Edexcel Further Maths · Bristol
MA
Mr Alan Cheung, parent
June 2026
Verified
A*We needed a CIE Further Maths specialist for our daughter. Her tutor was an Oxford graduate who knew exactly how CIE examine the harder pure topics. A* in June.
CIE Further Maths 9231 · Singapore
Sarah M.
June 2026
Verified
Grade 4 → 6My daughter was struggling with IB Mathematics HL and had almost given up hope of getting a 7. After just two months of weekly sessions with her ComboTutors tut...
Parent of IB Student · London
James P.
June 2026
Verified
B → A*My son started tutoring for A-Level Physics about three months before his exams. His tutor was incredibly patient and broke down complex topics like electromagn...
Parent of A-Level Student · Manchester
Priya K.
June 2026
Verified
+2 GradesWe needed help with GCSE Science for my son who found chemistry particularly challenging. His tutor made the sessions engaging and relatable—using real-world ex...
Parent of GCSE Student · Birmingham
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98%
Student Improvement Rate
4.97
Average Rating
1,200+
Families Supported
Since 2020
Academic Excellence
Family trust
Why parents chose Combo.
Families usually want three things: a tutor their child respects, a plan that fits the real paper, and updates that make progress easy to follow.
Handpicked tutors
We shortlist tutors who know the curriculum, teach clearly, and can coach the exact exam habits that lift marks.
Top-university academics and exam-savvy specialists.
Clear weekly updates
Parents see what was covered, what improved, and what needs attention next, so progress never feels vague.
Structured feedback after every lesson block.
A plan built around your child's paper
Sessions are matched to the student's board, tier, topic gaps, and exam timeline instead of generic subject tutoring.
Board-specific support with a measurable target grade path.
Questions families ask before starting.
Do I need to take A-Level Maths to do Further Maths?+
Yes — A-Level Further Maths is always taken alongside or after A-Level Maths. Most schools teach both simultaneously over two years. Students who are exceptional at Maths sometimes accelerate A-Level Maths in Year 12 and take Further Maths in Year 13.
Is Further Maths worth taking?+
For students aiming to study Mathematics, Physics, Engineering, or Computer Science at a top university, Further Maths is effectively expected. Cambridge, Imperial, and many Russell Group courses strongly prefer or require it. Our tutors can advise based on your university targets.
Can you help with STEP, MAT, and university admissions tests?+
Yes — we offer specialist preparation for STEP I, II, and III, the Mathematics Admissions Test (MAT), and the TMUA. These tests require a different approach to A-Level exams, and our tutors have extensive experience guiding students through them.
What are the optional modules in Further Maths?+
Optional modules vary by board but typically include: Further Statistics (chi-squared tests, continuous distributions), Further Mechanics (circular motion, elastic strings, angular momentum), and Decision/Discrete Mathematics (algorithms, graph theory, linear programming). We cover all of these.
Do I need to take A-Level Maths to do Further Maths?
Yes — A-Level Further Maths is always taken alongside or after A-Level Maths. Most schools teach both simultaneously over two years. Students who are exceptional at Maths sometimes accelerate A-Level Maths in Year 12 and take Further Maths in Year 13.
Is Further Maths worth taking?
For students aiming to study Mathematics, Physics, Engineering, or Computer Science at a top university, Further Maths is effectively expected. Cambridge, Imperial, and many Russell Group courses strongly prefer or require it. Our tutors can advise based on your university targets.
Can you help with STEP, MAT, and university admissions tests?
Yes — we offer specialist preparation for STEP I, II, and III, the Mathematics Admissions Test (MAT), and the TMUA. These tests require a different approach to A-Level exams, and our tutors have extensive experience guiding students through them.
What are the optional modules in Further Maths?
Optional modules vary by board but typically include: Further Statistics (chi-squared tests, continuous distributions), Further Mechanics (circular motion, elastic strings, angular momentum), and Decision/Discrete Mathematics (algorithms, graph theory, linear programming). We cover all of these.
Ready to Excel in A-Level Further Mathematics?
Book a free consultation and we will match you with a specialist A-Level a-level further mathematics tutor who can make a real difference.