IGCSE Math RevisionGuide · IGCSE Additional Maths → A Level
From Additional Maths to A Level Maths
If you have taken Cambridge 0606 or Edexcel 4PM1, much of the first part of A Level Pure Maths will look familiar. This page shows, topic by topic, where each Additional Maths topic continues and what usually comes next.
Topic by topic
| Additional Maths topic | A Level topic | What comes next |
|---|---|---|
| Functions | Algebra and functions | graph transformations, the modulus function and more on composite and inverse functions |
| Quadratics | Algebra and functions | the same discriminant and completing-the-square work, used inside harder problems |
| Polynomials | Algebra and functions | algebraic division and the factor theorem again, then partial fractions |
| Logarithms and exponentials | Exponentials and logarithms | exponential models and using logarithms to fit data |
| Coordinate geometry | Coordinate geometry | circles in more depth, and parametric equations |
| Circular measure | Trigonometry | radians used everywhere in calculus |
| Trigonometry | Trigonometry | identities, compound and double-angle formulae, and R cos(x − α) forms |
| Series and the binomial expansion | Sequences and series | the binomial expansion for any rational power, and more on sequences |
| Vectors | Vectors | vectors in two and three dimensions |
| Differentiation | Differentiation | more rules and applications: implicit and parametric differentiation |
| Integration | Integration | integration by substitution and by parts |
| Kinematics | Kinematics | constant-acceleration formulae and variable acceleration in mechanics |
The A Level topic pages are on our sister site, A Level Math Revision. The exact content depends on the A Level specification your school follows; check it with your teacher.
How to use what you know
- Keep your algebra sharp: A Level questions are longer, and most lost marks are algebra slips, not new ideas.
- Revisit the Additional Maths topics you found hardest before you start: the free questions on each topic page are a quick check.
- Starting Edexcel International A Level? The IGCSE to P1 bridging page and Pure Mathematics 1 are good next stops.
- Starting a UK A Level? Begin with the A Level Maths topics.