For general information on our online sessions check out our  'Online Coaching FAQ'.

For session pricing and payment options after completion of trial, check out our Pricing and Payment page.

SPECIALIST Further Maths Coaching

We provide exam coaching expertise for the Edexcel International A Level Maths (YMA01) and Further Maths (XFM01/YFM01); the UK Edexcel A Level Maths (9MA0) and Further Maths (9FM0); the AQA A Level Maths (7357) and Further Maths (7367); and International Baccalaureate Analysis & Approaches (AA) SL/HL and Applications & Interpretation (AI) SL/HL mathematics specifications, ensuring that students studying internationally or in the UK receive coaching and support tailored precisely to their syllabus. 

We provide two types of Further Maths coaching: 

• One-to-One Coaching: This coaching is uniquely tailored to each student according to your syllabus and can either be focused entirely on preparing for the exam in a single module or for a combination of modules - the choice is yours. Either way, a structured plan is developed to address specific challenges, reinforce and expand skills, and build confidence and consistency and, with a laser like focus on exam techniques, practical strategies, and time management, we aim to ensure that students reach their peak potential by exam time. For session pricing and payment options, check out our Pricing and Payment page. For frequently asked questions about our online one-to-one sessions via Zoom, see our Online Coaching FAQ page. 

• Group Coaching: For those who don’t require one-to-one coaching, we offer a flexible alternative in our online group coaching. Each one-hour session is semi-standalone, so you can pick and pay for whichever sessions best meet your learning needs. For details of the contents of each session, see the relevant coaching sessions page, and for scheduling, availability, and registration, check the relevant coaching schedules page (please note we are still scheduling the group coaching for the 2026 exams - please check back presently or feel free to contact us). For session pricing and payment options, see the Pricing and Payment page, and for frequently asked questions, see our Online Coaching FAQ page.   

IMPORTANT NOTE: Gresty Academy provides independent coaching and academic support for Further Maths students and examination candidates. We are not affiliated with, endorsed by, or approved by Pearson Edexcel, AQA, OCR, Cambridge International Education (CIE), the International Baccalaureate (IB), or any other examination board or professional body. Our coaching is designed to supplement students’ own preparation for their respective examinations. As success in examinations depends primarily on individual student effort, discipline, revision and performance, Gresty Academy cannot and does not promise or guarantee any specific exam score, grade attainment or grade improvements.

Feel free to book a free, no-obligation consultation to discuss your Further Maths coaching options with us. For more general information on our online sessions, see our Online Coaching FAQ, and for session pricing and payment options, check the Pricing and Payment page.

[Note: For those who wish to study independently or desire additional practice, we provide an abundance of completely free Further Maths revision resources].

The Pearson Edexcel IAL Further Mathematics qualification is modular, offering students the flexibility to take the six exams (units) in different sessions (January, May/June, October).

⚠️ Key Rule: No Overlap: If a unit is used towards your IAL Mathematics award (e.g., M1 or S1), it cannot be used towards your IAL Further Mathematics award. To achieve both IAL Mathematics and IAL Further Mathematics, you must pass 12 distinct units in total.

The IAL A Level and IAL Further Maths units are:

• Pure Mathematics 1 (P1 - WMA11). Topics tested include: Differentiation, integration and applications; surds; inequalities; simultaneous equations; transformations; standard trigonometry; composite shapes. 
• Pure Mathematics 2 (P2 - WMA12). Topics tested include: Differentiation, integration and applications; binomial expansions; AP and GP; logarithms, exponential problems; equations of circles
• Pure Mathematics 3 (P3 - WMA13). Topics tested include: More advanced differentiation and integration techniques; more advanced trigonometry and trig equations (inc inverse trig functions); modulus equations; composite functions
• Pure Mathematics 4 (P4 - WMA14). Topics tested include: More advanced differentiation (inc implicit differentiation) and integration techniques (inc integration by parts, substitution and partial fractions); volumes of revolution; vectors; first order differential equations; parametric equations; non integer binomial expansions; proofs by contradiction
• Further Pure Mathematics 1 (FP1 - WFM01). Topics include: complex numbers (arithmetic, modulus–argument form, De Moivre’s theorem, roots of unity); matrices and determinants (algebra, inverses, linear systems, 2D transformations); sequences and series (summation, sigma notation); roots of polynomials and relationships between roots and coefficients; proof by induction; vectors (equations of lines and planes, vector operations in 2D and 3D).
• Further Pure Mathematics 2 (FP2 - WFM02). Topics include: inequalities and functions; advanced calculus (differentiation and integration techniques and applications); first-order differential equations; Maclaurin and Taylor series; numerical methods (including root-finding techniques); matrices (eigenvalues and eigenvectors, applications in transformations and solving systems).
• Further Pure Mathematics 3 (FP3 - WFM03). Topics include: advanced complex numbers (further De Moivre applications, roots of unity); hyperbolic functions (definitions, identities, calculus); polar coordinates (conversion, differentiation, integration in polar form); second-order differential equations; advanced vector applications (planes, lines, intersections, shortest distances).
• Mechanics 1 (M1 - WME01). Topics tested include: Equations of motion (SUVAT), Newton’s laws of motion (F=ma), momentum, forces (weight, tension, thrust, normal reaction, limiting friction etc), motion of connected particles, horizontal and inclined particle projections, 2D vectors, moments
• Mechanics 2 (M2 - WME02). Topics Tested include: Equations of motion in two dimensions, vectors and motion in a plane, vector momentum and impulse, Newton’s law of restitution, work, energy and power, centre of mass of systems and laminae, equilibrium of rigid bodies, and further applications of Newton’s laws to connected particles and inclined planes; 
• Mechanics 3 (M3 - WME03). Topics tested include: motion under variable accelerations and forces, projectiles with variable resistance, work and energy in advanced contexts, simple harmonic motion (SHM), centre of mass of complex laminae and objects, centripetal force and circular motion, and moments of inertia;
• Statistics 1 (S1 - WST01). Topics tested include: probability (including Venn diagrams and conditional probability), discrete random variables, expectation and variance, binomial distribution, normal distribution (including standardisation), coding, measures of location and dispersion, correlation and regression (including product-moment correlation)
• Statistics 2 (S2 - WST02). Topics tested include: probability (including conditional probability and combined events), discrete and continuous random variables, expectation and variance, binomial, normal and poisson distributions, sampling and estimation (including confidence intervals), hypothesis testing (one-tailed and two-tailed tests), and advanced correlation and regression analysis;
• Statistics 3 (S3 – WST03). Topics tested include: advanced probability, continuous random variables (including probability density functions, cumulative distribution functions and transformations, and expectation and variance thereof, the normal and t-distributions, sampling and estimation, confidence intervals, hypothesis testing for means and variances (including paired and two-sample tests), correlation and regression, chi-squared methods (goodness-of-fit tests and contingency tables), and non-parametric tests (including Spearman’s rank correlation and the sign test); and 
• Decision Mathematics 1 (D1 - WDM01). Topics tested include: algorithms (including sorting and searching); graph theory (including paths, cycles, connectivity); shortest path and minimum spanning tree problems; network flows; linear programming (formulation, graphical solutions, simplex ideas); critical path analysis and project scheduling; basic algorithm efficiency and application to optimisation problems.

The UK A Level Maths (9MA0) and Further Maths (9FM0) qualifications are linear qualifications, meaning all assessment is typically taken at the end of the two-year course in the May/June examination series.

1. A Level Mathematics (9MA0): The UK A Level Mathematics qualification is made up of three equally weighted papers.

• Paper 1 (9MA0/01): Pure Mathematics 1
  • Weighting: 33 1/3%.
  • Content: All Pure Mathematics topics.
  • Duration: 2 hours, 100 marks.
  • Status: Compulsory.

• Paper 2 (9MA0/02): Pure Mathematics 2
  • Weighting: 33 1/3%.
  • Content: All Pure Mathematics topics (Pure content can be assessed on either Paper 1 or Paper 2).
  • Duration: 2 hours, 100 marks.
  • Status: Compulsory.

• Paper 3 (9MA0/03): Statistics and Mechanics
  • Weighting: 33 1/3%.
  • Content: Statistics and Mechanics, combined into a single paper (often split into Section A: Statistics and Section B: Mechanics).
  • Duration: 2 hours, 100 marks.
  • Status: Compulsory.

2. A Level Further Mathematics (9FM0): The UK A Level Further Mathematics qualification is made up of four equally weighted papers: two core papers and two optional papers.

• Compulsory Core Papers (2):
  • Paper 1 (9FM0/01): Core Pure Mathematics 1 (25% weighting)
  • Paper 2 (9FM0/02): Core Pure Mathematics 2 (25% weighting)
  • Both papers are 1 hour 30 minutes, 75 marks.

• Optional Papers (Choose 2):
  • Students must choose two distinct papers from the eight options below. Each option paper is 25% of the qualification and is 1 hour 30 minutes long (75 marks).
  • Further Pure Options:
    • 3A: Further Pure Mathematics 1 (9FM0/3A)
    • 4A: Further Pure Mathematics 2 (9FM0/4A)
  • Further Statistics Options:
    • 3B: Further Statistics 1 (9FM0/3B)
    • 4B: Further Statistics 2 (9FM0/4B)
  • Further Mechanics Options:
    • 3C: Further Mechanics 1 (9FM0/3C)
    • 4C: Further Mechanics 2 (9FM0/4C)
  • Decision Maths Options:
    • 3D: Decision Mathematics 1 (9FM0/3D)
    • 4D: Decision Mathematics 2 (9FM0/4D)
  • Common Combinations: Students typically choose either one "double option" (e.g., 3B and 4B) or two different "single options" (e.g., 3C and 3D).

The AQA A Level Mathematics (7357) and Further Mathematics (7367) qualifications are linear, meaning all exams are typically taken at the end of the two-year course.

1. A Level Mathematics (7357): The A Level Mathematics qualification is made up of three equally weighted papers.

• Paper 1: Pure Mathematics
  • Weighting: 33 1/3​%.
  • Content: All Pure Mathematics topics (e.g., proof, algebra, calculus, vectors, numerical methods).
  • Duration: 2 hours, 100 marks.
  • Status: Compulsory.

• Paper 2: Pure Mathematics and Mechanics
  • Weighting: 33 1/3​%.
  • Content: Pure Mathematics content, plus all Mechanics content (e.g., kinematics, forces, Newton's laws, moments).
  • Duration: 2 hours, 100 marks.
  • Status: Compulsory.

• Paper 3: Pure Mathematics and Statistics
  • Weighting: 33 1/3​%.
  • Content: Pure Mathematics content, plus all Statistics content (e.g., sampling, data, probability, distributions, hypothesis testing).
  • Duration: 2 hours, 100 marks.
  • Status: Compulsory.

2. A Level Further Mathematics (7367): The A Level Further Mathematics qualification is made up of three equally weighted papers (two core papers and one combined optional paper).

• Paper 1: Core Pure Mathematics 1
  • Weighting: 33 1/3​​%.
  • Content: Compulsory Core Pure Mathematics (e.g., complex numbers, matrices, further calculus).
  • Duration: 2 hours, 100 marks.
  • Status: Compulsory.

• Paper 2: Core Pure Mathematics 2
  • Weighting: 33 1/3​​%.
  • Content: Compulsory Core Pure Mathematics (a continuation of Paper 1 content).
  • Duration: 2 hours, 100 marks.
  • Status: Compulsory.

• Paper 3: Optional Paper (Combined)
  • Weighting: 33 1/3​​%.
  • Content: This paper is a combination of two chosen optional application areas from the three available.
  • Duration: 2 hours, 100 marks (The paper has two separate question booklets, one for each chosen option).
  • Status: Compulsory (The choice of content makes up the final third of the qualification).

• Optional Application Areas (Choose 2 parts for Paper 3):
  • The Paper 3 mark is composed of two 50-mark sections, with students choosing two of the following subjects:
    • Further Mechanics (3M)
    • Further Statistics (3S)
    • Discrete Mathematics (3D)

• Common Combinations for Paper 3:
  • Statistics and Mechanics
  • Statistics and Discrete
  • Mechanics and Discrete