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

Yes — they cover the Sec 3–4 AMaths sequence across algebra, trigonometry, coordinate geometry, and calculus with vectors/kinematics extensions.

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.

Integrated Programme (IP) / O-Level Additional Mathematics (A-Maths) Notes (Sec 3–4)

Last updated: 2025-12-03

Sec 3–4 Additional Mathematics (A-Maths) refreshers for Singapore GCE O-Level foundations — algebra, calculus, trigonometry, and statistics with full worked examples and exam tactics.

Download the full IP/O-Level Additional Mathematics (A-Maths) (Sec 3–4) notes bundle

Grab the consolidated PDF, 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, vectors/kinematics, and trig reinforced with application drills.

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 → kinematics 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.
IP EMaths upper-sec notes for algebra and graph foundations.
H2 Maths notes hub (JC A-Level) for the JC bridge sequence.

Frequently Asked Questions

Are these aligned to the upper-sec IP/O-Level AMaths syllabus?
Yes — they cover the Sec 3–4 AMaths sequence across algebra, trigonometry, coordinate geometry, and calculus with vectors/kinematics extensions.
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.

Topic Outline

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 Kinematics and statistics (standard deviation)