A1
Quadratic functions
Move between algebraic and graphical forms, roots, turning points, discriminants, and parameter conditions.
Additional Mathematics notes for O-Level and SEC G3
Choose a chapter or download the full set. These notes follow the 2027 K341 syllabus.
Last updated: 2026-10-04
- 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
01
Algebra
A2
Equations and inequalities
Select exact, substitution, graphical, or sign-analysis methods and reject values outside the stated domain.
A3
Surds
Simplify exact forms, rationalise denominators, and check for extraneous roots after squaring.
A4
Polynomials and partial fractions
Use factor and remainder relationships, polynomial division, and the correct decomposition form.
A5
Binomial expansions
Use the positive-integer binomial theorem and general term to identify a required term, power, or coefficient.
A6
Exponential and logarithmic functions
Use common bases or logarithms, apply log laws legally, and check domain restrictions.
02
Geometry and Trigonometry
G1
Trigonometric functions, identities and equations
Work in the required angle unit, transform identities deliberately, and give every solution in the interval.
G2
Coordinate geometry in two dimensions
Connect lines, circles, distances, gradients, tangency, and loci through algebra and a labelled sketch.
G3
Proofs in plane geometry
Build a reasoned chain from known results instead of assuming facts from a not-to-scale diagram.
03
Calculus
C1
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 page lists the main topics in the official 2027 SEC G3 Additional Mathematics K341 syllabus. Use the linked SEAB syllabus to check exactly what can be assessed and how the papers are organised.
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?
IP students can compare topics here, but should use the separate IP notes page for revision. IP schools set their own topic order, depth, and assessment requirements. Follow current school materials first.