A-Levels
Expert A-Level Mathematics and Further Mathematics tutoring. Comprehensive preparation for Edexcel, AQA, OCR, and Cambridge International examinations.
Levels Offered
What's Included
Program Overview
Understanding A-Level Mathematics
A-Level Mathematics is one of the most respected qualifications for university entry worldwide. Whether you are targeting Oxford, Cambridge, Imperial, or top institutions across Europe and beyond, strong A-Level results open doors to competitive courses and scholarships.
A-Level Mathematics
The standard A-Level Mathematics course builds a rigorous foundation across pure and applied topics.
Pure Mathematics (Core Content):
- Proof: Mathematical argument and logical reasoning
- Algebra and Functions: Partial fractions, binomial expansion, and modulus functions
- Coordinate Geometry: Equations of lines, circles, and parametric curves
- Sequences and Series: Arithmetic, geometric, and sigma notation
- Trigonometry: Radians, inverse functions, and advanced identities
- Exponentials and Logarithms: Laws of logarithms, natural exponentials, and modeling
- Calculus: Differentiation and integration techniques with real-world applications
- Numerical Methods: Iteration, Newton-Raphson, and the trapezium rule
- Vectors: Two- and three-dimensional vector operations
Applied Mathematics:
Every A-Level Mathematics student studies both Statistics and Mechanics:
- Statistics: Data analysis, probability distributions, hypothesis testing, and correlation
- Mechanics: Kinematics, forces, Newton’s laws, moments, and projectile motion
A-Level Further Mathematics
For students aiming at the most competitive university courses in Mathematics, Physics, or Engineering, Further Mathematics provides essential preparation that goes well beyond the standard syllabus:
- Complex Numbers: Argand diagrams, De Moivre’s theorem, and roots of unity
- Matrices: Transformations, eigenvalues, and diagonalisation
- Further Algebra: Induction, series, and advanced manipulation
- Further Calculus: Improper integrals, reduction formulae, and arc length
- Differential Equations: First and second order methods with applications
Further Mathematics signals exceptional mathematical ability and is highly valued by admissions tutors at leading universities.
Who Is A-Level Mathematics For?
| Consider A-Level Maths if you… | Consider Further Maths if you… |
|---|---|
| Need a strong maths qualification for university | Plan to study Mathematics, Physics, or Engineering |
| Want to develop analytical and problem-solving skills | Want to stand out on competitive UCAS applications |
| Are preparing for science, economics, or computing degrees | Need preparation for admissions tests (MAT, STEP, TMUA) |
| Prefer a structured, exam-focused qualification | Enjoy the challenge of advanced abstract mathematics |
Not sure whether Further Mathematics is right for you? I help students make this decision based on their strengths, interests, and university goals.
Exam Board Expertise
I have extensive experience with all major examination boards. Each board has its own style, mark scheme conventions, and question patterns. I tailor preparation to your specific exam board, ensuring you understand exactly what examiners are looking for.
| Board | Key Characteristics |
|---|---|
| Edexcel (Pearson) | Most common board internationally, clear and structured papers |
| AQA | Popular in UK schools, accessible question style |
| OCR | Traditional approach with rigorous mathematical content |
| OCR MEI | Integrated real-world applications throughout the syllabus |
| Cambridge International (CAIE) | Global recognition, challenging and well-regarded papers |
My Teaching Approach
Concept Mastery
Deep understanding of mathematical principles, not just memorization. I ensure you grasp the "why" behind every formula.
Exam Strategy
Strategic practice with past papers, mark schemes, and time management techniques for maximum exam performance.
Personalized Learning
Tailored lesson plans based on your strengths, weaknesses, and goals. Every session is designed specifically for you.
Tech Integration
Leverage graphing calculators, dynamic software, and digital tools for efficient problem-solving.
Flexible Schedule
Sessions designed around your schedule. Online or in-person, mornings or evenings, we adapt to you.
🏆 Proven Results
My students consistently achieve A* and A grades in their A-Level Mathematics and Further Mathematics examinations. Many have secured places at Oxford, Cambridge, Imperial College London, UCL, and other Russell Group universities.
With 17 years of experience and recognition as GoStudent's Mathematician of the Year 2021, I bring proven expertise to help you achieve your academic goals.
Ready to Excel in A-Levels?
Book your free consultation today. We will discuss your goals, assess your current level, and create a personalized study plan tailored to your needs.