What are the hardest A Level Further Maths topics?

The most challenging Further Maths topics are typically complex numbers, matrices, proof by induction, differential equations, and further mechanics. These require a deeper level of abstract thinking than A Level Maths, and most students benefit significantly from targeted tuition on these specific areas.

How long does it take to improve at A Level Maths with a tutor?

Most students see meaningful improvement within 4–6 sessions when working with an experienced tutor who can identify and address specific gaps. For exam preparation, a targeted 6–10 session programme in the final term typically produces the most measurable results.

Does Dr Grant tutor OCR and Edexcel A Level Maths?

Yes. Sessions are tailored to the student's specific exam board. OCR, Edexcel, or AQA, using past papers and mark schemes from that board.

Can a Cambridge PhD tutor help with A Level Maths?

Yes, and it is a significant advantage. A tutor with a Cambridge PhD in economics and mathematics brings a depth of understanding that makes it easier to explain concepts in multiple ways until one lands. The understanding required at A Level and Further Maths is a subset of what Dr Grant uses daily in research.

A Level maths tuition · Online UK-wide

A Level Maths &
Further Maths tutor

Dr Nicky Grant offers online A Level Mathematics and Further Mathematics tuition across OCR, Edexcel and AQA. A Cambridge PhD with 12+ years of university lecturing, he tutors all pure maths, mechanics and statistics topics, from GCSE through to A Level. Free initial consultation.

Whether you need comprehensive course support, intensive exam preparation, or targeted help with the topics that are letting you down, sessions are built around your syllabus, your exam board, and your timeline.

Book a free consultation Further Maths guide

Topics covered

Complete syllabus coverage

All topics across A Level Maths and Further Maths, matched to your specific exam board and paper.

A Level Mathematics

Algebra, functions, and graphs
Calculus (differentiation and integration)
Trigonometry
Exponentials and logarithms
Sequences and series
Mechanics (kinematics, forces, moments)
Statistics (hypothesis testing, distributions)
Numerical methods
Proof

A Level Further Mathematics

Complex numbers and Argand diagrams
Matrices and linear transformations
Further calculus (volumes, reduction formulae)
Differential equations (second order, series solutions)
Polar coordinates and hyperbolic functions
Further mechanics (circular motion, SHM)
Proof by induction
Numerical methods and algorithms
Decision maths

GCSE Mathematics

Full GCSE Maths support across all topics, algebra, geometry, statistics, number, and ratio. Appropriate for students working towards all grades, including those targeting grade 8 and 9.

Why choose Dr Grant

Mathematical depth
that makes it click

Triple Cambridge graduate in maths-heavy subjects

A BA, MPhil and PhD from Cambridge in economics and econometrics. The mathematical content of Further Maths is a foundation Dr Grant uses in research. This depth of understanding makes it easier to explain things in multiple ways until the student finds the one that works for them.

Knows exactly what examiners want

Twelve years setting and marking university-level exams in mathematical subjects. The same rigour about what gets marks and what loses marks translates directly to A Level exam technique.

Oxbridge maths students welcomed

Students aiming for Oxford, Cambridge or Imperial who need to work beyond the standard A Level syllabus. STEP, MAT, BMO, can be accommodated. See also the Oxbridge preparation page.

Any pace, any gap

Some students need one session to fix one topic before an exam. Others need a systematic course through an entire year of content. Both are fine. The free initial consultation establishes what is actually needed.

FAQs

A Level Maths tutoring FAQ

Which exam boards do you cover?+

OCR, Edexcel, and AQA A Level Mathematics and Further Mathematics. Sessions use past papers and mark schemes from the student's specific board. Please mention your exam board when you get in touch.

My son or daughter is resitting, can you help?+

Yes. Resit preparation is a common request. The approach is to diagnose exactly what went wrong in the first sitting, whether gaps in understanding, exam technique, or time management, and focus the remaining sessions on those specific issues.

Do you offer GCSE Maths tuition too?+

Yes. Full GCSE Maths support across all major exam boards. Typically students at GCSE level benefit from a more structured session programme rather than one-off sessions, but both formats are available.

The 5 Hardest Further Maths Topics, and How to Master Them

Complex numbers, matrices, differential equations, proof and further mechanics, with clear strategies for each.

Read article

A Level Maths &Further Maths tutor