Genuinely new abstractions
Complex numbers, matrices as transformations and proof by induction are not harder versions of familiar ideas. They need to be built properly rather than pattern-matched.
A-Level Further Maths
A-Level Further Maths tuition for the extra content and the extra pace
Further Maths is usually taught faster, in smaller groups, and sometimes by a school stretched to staff it. Students taking it are rarely struggling in the ordinary sense; they are managing an unusual workload and a syllabus with genuinely new abstractions. Tuition here is about depth and pace rather than remediation.
- Core pure and options
- Fast-paced teaching
- For competitive applications
What happens next
- 1. A free consultation about the student's stage and goals.
- 2. A shortlist of tutors, reviewed by a person before it reaches you.
- 3. A free compatibility trial before anything is paid for.
Founding lessons from £25 per hour. No grade or place is ever guaranteed.
Who Further Maths tuition suits
Most of our Further Maths students are aiming at mathematical, engineering, physics, computing or economics degrees where the subject is preferred or required.
- Students whose school delivers Further Maths in limited timetabled hours
- Students self-teaching part of the course or an optional module
- Students applying to courses where Further Maths is preferred or required
- Students who are secure in A-Level Maths but find the abstraction of core pure harder
What usually gets in the way
These are the patterns we see most often, and what a tutor does about them.
Pace and compression
Two A-Levels of content in the same timetable means less repetition. Topics can be delivered once and never revisited until revision.
Optional modules taught thinly
Further mechanics, further statistics and decision maths vary by school and are sometimes largely self-taught. A tutor who knows the option module matters more than a generalist.
Sitting both maths A-Levels together
Papers interleave, and revision for one can crowd out the other. Planning the two as a single workload avoids losing marks in the easier subject.
Core content and option modules
- Edexcel
- AQA
- OCR A
- OCR MEI
Core pure
- Complex numbers and Argand diagrams
- Matrices and transformations
- Proof by induction
- Polar coordinates, series and hyperbolic functions
Further calculus and vectors
- Further integration techniques
- Differential equations
- Vectors, lines and planes
How a Further Maths tutor works
Lessons stay ahead of or level with school teaching rather than trailing it, because a student who meets an idea twice - once with a tutor, once in class - retains far more.
- Topic sequencing agreed against the school's scheme of work at the start
- New abstractions built from definitions, with the student proving results rather than accepting them
- Option modules covered by a tutor who has studied that specific module
- Both maths A-Levels planned as one revision workload, not two competing ones
A typical first four weeks
Every plan is adjusted at the consultation, but this is the shape most engagements take.
- Week 1
Scope and sequencing
The tutor maps the school's coverage against the specification, identifies what is being self-taught, and agrees which module to prioritise.
- Week 2
Core pure depth
The hardest current core pure topic is rebuilt from definitions, with the student producing proofs and worked examples in the lesson.
- Week 3
Option module work
Focused teaching on the chosen option, using past questions to establish the standard and style the board expects.
- Week 4
Synoptic practice and review
Questions that combine core pure with the option module, marked together, plus a written note home and a plan for the next block.
What families ask
Our school only teaches part of the course. Can you cover the rest?
Yes, and it is one of the most common reasons families contact us about Further Maths. Tell us which modules are being self-taught and we match a tutor who has studied them.
Can the same tutor cover both Maths and Further Maths?
Usually yes, and it is generally more efficient because the tutor can see where the two courses reinforce each other.
Related support
A-Level Maths tuition
Pure fluency, applied modules and the step up from GCSE.
Read about A-Level Maths tuitionMAT preparation
Multiple-choice technique plus the long written questions that carry the marks.
Read about MAT preparationTMUA preparation
Both papers, taught as reasoning rather than as extra content.
Read about TMUA preparationTalk to us about a-level further maths tuition
Tell us the stage, exam board and timeline. We will recommend a tutor and arrange a free compatibility trial.