O Level Additional Mathematics (4037): A Complete Revision Guide
Sir Kashan Iqbal
10 July 2026 · 8 min read
Additional Mathematics (CAIE 4037) is the bridge between O Level Maths (4024) and A Level. It is more demanding, more abstract, and the single best preparation for Pure Mathematics at A Level. Here is how to master it.
How 4037 Differs from 4024
O Level Maths (4024) tests core numeracy and standard techniques. Additional Maths (4037) goes deeper into pure topics: functions, polynomials, calculus, and trigonometry at a level that anticipates A Level. If you intend to take A Level Maths, doing well in 4037 gives you a genuine head start.
The Core Topics You Must Master
• Functions — domain, range, composite and inverse functions. • Quadratics, polynomials, and the remainder and factor theorems. • Indices, surds, and logarithms — the algebraic backbone of everything else. • Trigonometry — identities, equations, and graphs. • Differentiation and integration — the first real taste of calculus. • Kinematics — applying calculus to motion.
A Study Plan That Works
1. Secure your algebra first — indices, surds, and logarithms underpin every other topic. 2. Learn each topic to understanding, then do a focused set of questions before moving on. 3. From two months out, switch to full past papers under timed conditions. 4. Keep an error log and revisit every mistake weekly until it disappears.
Why 4037 Is the Best Investment for Your Future
Students who take Additional Maths seriously find AS Level Pure Mathematics far less intimidating — they have already met functions, calculus, and trigonometric identities. The effort you put into 4037 pays off twice: once in your O Level grade, and again in your A Level.
Additional Maths is not an extra burden — it is a down payment on your A Level A*.
