Are these aligned to the upper-sec IP/O-Level AMaths syllabus?

Yes — the core sequence tracks the SEAB O-Level Additional Mathematics (4049) scope used across Sec 3–4, with optional IP extensions (e.g., kinematics, standard deviation) where schools go beyond the core.

Do you include worked examples and common pitfalls?

Each chapter includes annotated solutions and trap alerts (domain/range, sign errors, calculus conditions) to copy into timed practices.

Can I download everything as one PDF?

Yes — download /pdf/ip-amaths-upper-sec-notes-complete.pdf for the consolidated printable bundle.

How should I pace revision for calculus-heavy topics?

Secure algebra, graphs, and trig first; then cycle through differentiation → applications → integration → kinematics so techniques stay fresh.

Are these notes free?

Yes. If you want a tailored plan for your next test, WhatsApp us and we’ll point you to the exact chapters and drills.

AMaths Notes (Sec 3–4): IP & O-Level Additional Mathematics (A Maths)

Last updated: 2025-12-03

AMaths (A Maths / Additional Mathematics) revision notes for Sec 3–4 IP and O-Level students — algebra, trigonometry, coordinate geometry, and calculus with worked examples, practice prompts, and exam tactics.

Download the full AMaths (A Maths / Additional Mathematics) Sec 3–4 notes bundle

Searching for AMaths notes or A Maths notes? Download the full bundle (or grab a chapter PDF from the outline), then WhatsApp us your next test topic and we’ll point you to the exact pages or tailor a quick plan.

Download combined notes (PDF)

Prefer tailored notes? WhatsApp us with your topic.

Sec 3–4 AMaths topics in order with worked examples and error checks.

Calculus and trig reinforced with application drills (plus optional IP extensions).

Optimised PDF for printing and offline study.

How to use these notes

Download the bundle and rebuild algebra plus coordinate geometry first.
Progress to trig, then tackle differentiation → applications → integration (and optional kinematics extensions) in order.
Use the TOC for last-minute lookups and message us if you want a calculus-only drill plan.

Related hubs

IP Maths tuition hub for full pacing and WA diagnostics.
EMaths upper-sec notes for algebra and graph foundations.
H2 Maths notes hub (JC A-Level) for the JC bridge sequence.

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Frequently Asked Questions

Are these aligned to the upper-sec IP/O-Level AMaths syllabus?
Yes — the core sequence tracks the SEAB O-Level Additional Mathematics (4049) scope used across Sec 3–4, with optional IP extensions (e.g., kinematics, standard deviation) where schools go beyond the core.
Do you include worked examples and common pitfalls?
Each chapter includes annotated solutions and trap alerts (domain/range, sign errors, calculus conditions) to copy into timed practices.
Can I download everything as one PDF?

Get your tailored notes

Topic Outline

Overview
Syllabus map for Sec 3–4 IP AMaths / O-Level Additional Mathematics (4049), plus quick links to every chapter.
Download PDF
Algebra & Functions
Surds, logarithms, quadratics, and algebraic techniques that show up repeatedly in weighted assessments and O-Level revision.
- 1) Indices & Surds

Syllabus Breakdown

Year	Key Topics Covered
Sec 3 (Algebra & Functions)	Indices, surds, logarithms, and exponentials Linear law, simultaneous equations, and quadratic functions Coordinate geometry (lines, parabolas, circles) and plane geometry Polynomials, binomial theorem, and modulus functions
Sec 4 (Trig & Calculus)	Trigonometry identities, equations, and applications Differentiation fundamentals, techniques, and applications Integration essentials and partial fractions
IP Extensions (Optional)	Kinematics Statistics refresher (standard deviation)