Advanced Algebraic Methods & Proof
Completing the square, polynomial methods, algebraic proof — the foundation of the entire course.
WHO IS THIS PROGRAMME FOR?
Designed for High-Attaining
Designed for High-Attaining
Year 10–11 Students
Designed for high-attaining students in Year 10 and Year 11 who are on course for a strong grade in Higher GCSE Mathematics and who aspire to progress to A-level Mathematics and A-level Further Mathematics. Small-group specialist course — maximum 4 students — across two full academic years.
Currently in Year 10 or Year 11 and on track for a strong Higher GCSE grade
Aspiring to study A-level Mathematics and/or A-level Further Mathematics in sixth form
Targeting top universities — Oxbridge, Russell Group, Medicine or Engineering
Ready to commit to a structured two-year programme with weekly sessions and homework
PROGRAMME FORMAT
How Every Week is Structured
Depth, not cramming. Each element of the programme is designed to build lasting algebraic fluency and mathematical confidence.
Every Week
75-Min Taught Session
Retrieval quiz · New content · Guided problem-solving · Homework briefing — all in one focused session.
Homework
Marked & Returned
All homework marked with written feedback returned within 72 hours — so gaps are closed quickly.
Group Size
Maximum 4 Students
Ability-matched groups — individual attention alongside peer learning. Never lost in the crowd.
Programme
2 Full Academic Years
36 teaching weeks per year — a two-year model that builds genuine ability that short-term revision courses cannot replicate.
ALL INCLUDED IN YOUR FEES
Face-to-Face Holiday Intensive Sessions
Five 2-hour face-to-face intensives across the two years — timed to consolidate, extend, and ultimately prepare for the AQA examinations.
| Year | Session | Duration | Focus |
|---|---|---|---|
| Year 1 | October half-term | 2 hrs | Algebra consolidation & early progress review |
| Easter break | 2 hrs | Coordinate Geometry & Calculus extended practice | |
| Summer break | 2 hrs | Year 1 consolidation & Year 2 topic preview | |
| Year 2 | October half-term | 2 hrs | Matrices deep-dive & cross-topic problem-solving |
| Easter break | 2 hrs | FINAL EXAM PREP: Timed papers, mark schemes & grade targeting |
TERMLY SCHEME OF WORK
What Your Child Studies Each Term
The two-year curriculum is carefully sequenced — each term builds on the last, progressing from algebraic foundations to full exam readiness.
Autumn Term
Algebra & Functions
Completing the square, polynomial methods, algebraic proof, functions and function notation.
Spring Term
Coordinate Geometry
Circles and tangents, simultaneous equations, discriminant & roots, geometric reasoning.
Summer Term
Calculus & Trigonometry
Differentiation, optimisation, stationary points, sine rule, cosine rule, and trigonometric identities.
Autumn Term
Matrices & Consolidation
2D matrix transformations; cross-topic consolidation leading to Full Mock 1 (December).
Spring Term
Past Paper Programme
Systematic gap analysis, targeted revision, Full Mock 2 (February) with written report.
Summer Term
Final Revision & Exams
Easter intensive, final drilling, timed paper practice — culminating in AQA examinations (June).
TOPICS COVERED
Full AQA Level 2 Curriculum
Every topic on the AQA 8365 specification is covered in depth, with strong emphasis on problem-solving, proof, and exam technique throughout.
Coordinate Geometry: Circles & Tangents
Equation of a circle, tangent constructions, intersections with lines, and geometric reasoning.
Functions, Notation & Graph Transformations
Function notation, domain and range, composite and inverse functions, and all standard transformations.
Calculus: Differentiation & Stationary Points
Introduction to calculus — differentiation from first principles, optimisation, and stationary point analysis.
Trigonometry: Sine Rule, Cosine Rule, Identities
Non-right-angled triangles, area of triangle formula, key identities, and solving trig equations.
Matrix Transformations in 2D
Representing and composing 2D transformations using matrices — the unique AQA Further Maths topic.
Problem-Solving & Mathematical Reasoning
Multi-step problems, proof by exhaustion and deduction, logical reasoning chains throughout the course.
Exam Technique & Past Paper Practice
Three full mocks, systematic past paper bank, mark scheme analysis, and targeted grade targeting.
WHY FURTHER MATHEMATICS?
A Measurable Head Start
A Measurable Head Start
for Sixth Form & Beyond
"The AQA Level 2 Certificate in Further Mathematics bridges the gap between Higher GCSE and A-level. It develops algebraic fluency, logical reasoning, and mathematical confidence that top grades and strong sixth-form progression demand. Students arrive at A-level having already encountered differentiation, proof, matrix transformations, and function notation — a measurable head start. A two-year model builds genuine ability that short-term revision courses cannot replicate."
Two-year depth — not short-term cramming
36 weeks per year of structured, sequenced learning — genuine ability, not surface-level revision.
Strengthens Higher GCSE problem-solving
The advanced content reinforces and deepens the core Higher GCSE curriculum at the same time.
Direct bridge to A-level Maths & Further Maths
Students enter Year 12 already familiar with calculus, proof, functions, and matrices — a real advantage from day one.
Professional reporting & parent accountability
Termly written reports, twice-yearly parent review calls, and three full mock exams with written feedback.
Specialist pathway for Oxbridge, Medicine & STEM
Top universities expect strong mathematical reasoning — this qualification signals exactly that, long before A-levels.
GRADE TARGETS
Programme vs National Average
AQA 8365, 2024 data. Our students consistently outperform the national average by a significant margin.
Grade 7+
≥75%
OUR STUDENTS
56%
NATIONAL
AQA 8365, 2024 national data
Grade 9
≥30%
OUR STUDENTS
21%
NATIONAL
AQA 8365, 2024 national data
Exam Board: AQA Level 2 Certificate in Further Mathematics (specification 8365). Students sit two written papers (non-calculator and calculator) in June of Year 11. A levels in this qualification range from E (lowest) to A* (highest).
WHAT'S INCLUDED
Everything Provided — No Hidden Extras
Your fees cover the full programme from start to finish, with every resource, session, intensive, and report included.
All Weekly 75-Min Taught Sessions
36 sessions per year × 2 years — the full taught curriculum delivered every week.
Five 2-Hour Face-to-Face Intensives
All five holiday intensives included — no additional charge.
Weekly Homework, Marked & Returned
All homework marked with written feedback within 72 hours throughout the programme.
Three Full Mock Exams with Written Reports
Mock 1 (December, Year 2), Mock 2 (February, Year 2), plus the Year 1 end-of-year mock.
Termly Written Progress Reports
Detailed reports at the end of each term — covering progress, gaps, and next steps.
Parent Review Call Twice a Year
A dedicated call each academic year to discuss progress, targets, and how to support at home.
Full AQA 8365 Past Paper Bank
Complete set of AQA Level 2 Further Maths past papers and mark schemes for independent practice.
Textbook Provided
AQA Level 2 Certificate in Further Mathematics (Hodder/Hachette, 3rd edition, 2025) — on loan for the duration of the course.
Textbook loan: The textbook is provided at no extra cost and must be returned in good condition at the end of the course. Exam entry and centre administration fees are paid directly to the exam centre and are not included in course fees. See the note below for independent candidate guidance.
PRICING 2026–27
Choose Your Format
Both options cover the identical curriculum. The 1:1 Premium option offers fully personalised pacing and scheduling flexibility.
SMALL GROUP FORMAT
Small Group (3–4 Students)
~£210 /month
£2,500 per year
Ability-matched groups, max 4 students
All sessions, intensives & reports included
Weekly homework marked & returned
Textbook provided
PREMIUM INDIVIDUAL
1:1 Premium (Online)
~£250 /month
£3,000 per year
Fully personalised pacing & session scheduling
All sessions, intensives & reports included
Weekly homework marked & returned
Textbook provided
Payment plans: monthly, termly or upfront. Available discounts:
Upfront payment: 8% discount
Early-bird (before 31 July): 10% discount
Sibling enrolment: 15% discount
Places are limited. We recommend enquiring early to secure your child's place.
Exam Entry & Independent Candidates
At the end of the course, if your child's school decides not to enter them for the Level 2 Further Mathematics examination, we will guide you through alternative options. We can help you identify an appropriate local exam centre and support you in entering your child as an independent/private candidate. Exam entry and centre administration fees are paid directly to the exam centre and are not included in our course fees. As a guide, private GCSE and Level 2 exam fees typically fall in the region of £150–£350 per subject, depending on the centre, exam board and deadlines, and we will advise you on checking the exact costs with your chosen centre well in advance of entry. Contact us to discuss this further →
Enrol in Further Maths Today
Places are limited to 4 students per group. Complete this form and we will contact you within 48 hours to confirm availability and next steps.
We will reply within 48 hours.
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Location
Online & in-person options available.
Based in Maidstone, Kent
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