Loading blog content…

Loading page…

Additional Mathematics notes for O-Level and SEC G3

Choose a chapter or download the full set. These notes follow the 2027 K341 syllabus.

Download the complete notes Check the official syllabus

Last updated: 2026-07-20

K341: 2027 SEC G3 syllabus
10: topics
4049: O-Level reference code

Choose the syllabus for your exam year

Sitting the exam in 2027? Use K341. Sitting in 2026? Keep using the current 4049 syllabus and your school materials.

Check K341 for the authoritative outcome detail and assessment conditions. These exam-track chapters and PDFs are separate from the school-dependent IP A-Math route.

All topics

Algebra

Quadratic functions

Move between algebraic and graphical forms, roots, turning points, discriminants, and parameter conditions.

Equations and inequalities

Select exact, substitution, graphical, or sign-analysis methods and reject values outside the stated domain.

Surds

Simplify exact forms, rationalise denominators, and check for extraneous roots after squaring.

Polynomials and partial fractions

Use factor and remainder relationships, polynomial division, and the correct decomposition form.

Binomial expansions

Use the positive-integer binomial theorem and general term to identify a required term, power, or coefficient.

Exponential and logarithmic functions

Use common bases or logarithms, apply log laws legally, and check domain restrictions.

Geometry and Trigonometry

Trigonometric functions, identities and equations

Work in the required angle unit, transform identities deliberately, and give every solution in the interval.

Coordinate geometry in two dimensions

Connect lines, circles, distances, gradients, tangency, and loci through algebra and a labelled sketch.

Proofs in plane geometry

Build a reasoned chain from known results instead of assuming facts from a not-to-scale diagram.

Calculus

Differentiation and integration

Choose the required calculus operation, preserve constants and limits, and interpret the result in context.

Need a different route?

IP students should use the IP upper-secondary A-Math notes and follow your current school scope first.

Source and scope

Official curriculum source: SEAB 2027 SEC G3 Additional Mathematics K341 syllabus. Checked 15 July 2026. Recheck codes, outcomes and assessment details before annual updates.

The focus lines are Eclat revision guidance. They are not quoted syllabus text and do not replace the official learning outcomes.

Common questions

Is this the 2027 Additional Mathematics syllabus?
This hub maps the official 2027 SEC G3 Additional Mathematics K341 top-level topics. The linked SEAB syllabus remains authoritative for every assessable learning outcome and paper detail.
Why does the page also say O-Level and 4049?
O-Level is still familiar reader language and 4049 is the 2026-and-earlier reference code. Students sitting in 2027 should use K341, while 2026 candidates must follow their current legacy syllabus and school instructions.
Can IP students use this page?
Only as a national comparison. IP schools control their own sequence, depth, and assessment scope, so IP students should use the separate IP route and follow current school materials first.