Advanced mathematical concepts for A-Level Further Mathematics preparation
STEM

A-Level Further Mathematics

Mathematics Beyond the Standard

A-Level Further Mathematics extends into advanced pure mathematics, complex numbers, matrices, and beyond. Essential for mathematics, physics, and engineering at top universities.

One-to-one 90-minute lessons online: $100 for a single lesson, or $95 a lesson in the 20-lesson package.

What each year covers

A typical course order. Unit names, the papers and how the AS relates to the full A Level differ by board, so lessons follow your board's specification.

First year (AS content)

Typically covered:

  • Core Pure 1
  • Further Statistics or Further Mechanics or Decision
Second year

Typically covered:

  • Core Pure 2
  • Two optional papers

Exam boards we tutor Further Mathematics for

Tell us your board and specification on the intro call, and lessons, past papers and mark schemes follow it.

AQAPearson EdexcelOCR AOCR B (MEI)Cambridge International

How it is assessed

Written papers; how many, and their length, depend on the board. Graded A Level A*–E; AS Level A–E (a–e at Cambridge).
Key Topics
  • Complex numbers
  • Matrices and linear transformations
  • Proof by induction
  • Polar coordinates
  • Hyperbolic functions
  • Differential equations
  • Further mechanics or statistics or decision
University Pathways

Where This Subject Can Take You

Degree courses that A-Level Further Mathematics is often taken for. Entry requirements are set by each university.

Mathematics (Cambridge, Oxford, Imperial)Theoretical PhysicsEngineeringComputer ScienceQuantitative FinanceActuarial ScienceEconomics (quantitative)

What Further Mathematics lessons work on

One-to-one lessons, live online, planned around your board, your school's pace and your exam dates.

Complex number mastery
Matrix algebra practice
Proof technique development
Advanced calculus sessions
Optional module preparation

Study tips for Further Mathematics

1

Take A-Level Maths concurrently - they complement each other

2

Master complex numbers early - they appear throughout

3

Practice proofs regularly

4

Choose optional modules wisely based on university plans

5

Attempt Oxbridge-style problems for challenge

A-Level Further Mathematics: lessons, prices and how to start

One-to-one lessons are 90 minutes, live online. Prices are set per program, so they are the same for every A Level subject.

A-Level Further Mathematics one-to-one tutoring packages
Single lesson$100Per lesson: $100Buy a lesson
10 lessons$970Per lesson: $97Buy package
20 lessonsLowest rate$1,900Per lesson: $95Buy package

Group options

There is no open A Level group course. Bring 3 or more students together and we open a private group course for you. The A Level private group is priced per student by how many subjects you take, with 30 hours of live lessons in each: 1 subject (30 hours) $1,150, 2 subjects (60 hours) $2,150, 3 subjects (90 hours) $3,000 and 4 subjects (120 hours) $3,900.

Buy a place in a A Level private group

How do you start?

Request a free intro call: it is a conversation about your goals and timeline, not a lesson or a test. On the free intro call we look at your current A Level level and your goals — a recent score report or a piece of marked work helps — and the study plan is built from there, before you pay for anything. The intro call is a conversation, not a lesson or a test.

Request a free intro call

Refunds

Not satisfied after your first private lesson? Full (100%) refund. No score is guaranteed. Full terms.

A-Level Further Mathematics — Frequently Asked Questions

What is covered in each year of A-Level Further Mathematics?
In a typical course order the first year covers Core Pure 1 and Further Statistics or Further Mechanics or Decision, and the second covers Core Pure 2 and Two optional papers. The papers, their weighting and how the AS relates to the full A Level differ by board, so lessons follow your board's specification. Second-year content builds on the first, which is why gaps left in the first year tend to surface later.
What does A-Level Further Mathematics cover?
Across the two years the course covers 4 units: Core Pure 1, Further Statistics or Further Mechanics or Decision, Core Pure 2 and Two optional papers. Unit names and grouping vary by board.
How long does A-Level Further Mathematics tutoring take?
It depends on where you are starting. Students working alongside school through the year often take one lesson a week; students revising for a resit or repairing one part of the course usually work in a shorter, more intensive block. Which suits you is agreed on the free intro call.