A Math Notes for O-Level and SEC Additional Mathematics
All 17 chapters of the SEAB syllabus, from quadratic functions to kinematics. Every chapter teaches one outcome at a time, with worked examples, the formulas to memorise, the mistakes that lose marks, and an exercise to prove you have it. The opening sections of every chapter are a free preview; unlock all 17 chapters for $9 one-time (included with Premium).
Three strands. Seventeen chapters.
SYLLABUS 4049 (2026) / K341 (2027) TOPIC LIST
Tick sections inside each chapter and your progress shows here. It is saved on this device.
- STRAND I · 6 CHAPTERSAlgebra
- 1Quadratic functions0/8
- 2Equations and inequalities0/7
- 3Surds0/7
- 4Polynomials, cubic identities and partial fractions0/8
- 5Binomial expansions0/7
- 6Exponential and logarithmic functions0/8
- STRAND II · 5 CHAPTERSGeometry and Trigonometry
- 7Coordinate geometry: lines, areas and circles0/7
- 8Linear law: turning curves into straight lines0/6
- 9Trigonometric functions and graphs: angles, radians and waves0/7
- 10Trigonometric identities, equations and proofs: formulae, solving and the R form0/9
- 17Proofs in plane geometry0/6
- STRAND III · 6 CHAPTERSCalculus
- 11Differentiation rules: power, chain, product and quotient0/8
- 12Stationary points, rates of change and optimisation0/6
- 13Differentiating sin x, cos x, tan x, e^x and ln x0/7
- 14Integration: the reverse of differentiation0/9
- 15Area under a curve: applications of integration0/6
- 16Kinematics: displacement, velocity and acceleration0/6
How to use these notes
Each section teaches one syllabus outcome, with a worked example you can follow line by line.
Do the questions before you reveal the answers. Only tick a section once you can do it on your own.
Your ticks are saved on your own device, and this page shows how far you have got.
Quick answers
Are these A Math notes free?
The opening sections of every chapter are free to read online, no sign-in needed. Unlock all 17 chapters for $9 one-time, with no subscription. Premium also includes them.
Which A Math syllabus do the notes follow?
The SEAB O-Level Additional Mathematics syllabus 4049 (2026) and the SEC G3 Additional Mathematics syllabus K341 (2027), across its three strands: Algebra, Geometry and Trigonometry, and Calculus, in 17 chapters.
Is A Math the same as E Math?
No. Mathematics (E Math) and Additional Mathematics (A Math) are separate subjects, at both O-Level and SEC G3. These notes cover A Math only. For E Math, see our E-Math notes.
What is in each chapter?
Each chapter opens with a real-life scene, then teaches the syllabus outcomes one section at a time with worked examples, the formulas to memorise, the common mistakes that lose marks, and an exercise with answers you can reveal.
Does it cover calculus and trigonometry?
Yes. Calculus runs from the differentiation rules through stationary points, rates of change, integration, area under a curve and kinematics. Trigonometry covers functions and graphs, identities, equations, proofs and the R formula.
Is my progress saved?
Your ticks are saved on your own device, and the chapter list on this page shows how far you have got.
More for O-Level and SEC students
Notes version 1.0 · Last updated 3 Nov 2026