Comprehensive A Math Resources for Singapore Students
Free O Level Additional Math Study Guides
Download free Additional Mathematics study guides for O Level. Master Binomial Theorem, Calculus, Trigonometry, and more with comprehensive worksheets, step-by-step solutions, and video explanations designed for Sec 3 & 4 students.
Answer first
How should Sec 3 and Sec 4 students use these A Math guides?
Choose the guide for the topic you are currently learning, read the worked explanation, and then complete its worksheet before opening the solutions. This collection contains 9 topic guides aligned to Singapore O-Level Additional Mathematics, with free practice and step-by-step support designed to expose—not hide—the exact step where understanding breaks down.
- Topic guides
- 9 guides
- Exam pathway
- O-Level A Math
- Practice format
- Free worksheets
Reviewed by Tim Gan Math academic content team · 19 July 2026
Sources:Published study-guide index
When a course may help
A structured class may help when errors span several topics, the student cannot explain why a method works, or independent worksheets are not producing consistent improvement under test conditions.
Not suitable when
The student has not yet attempted the guide independently or the difficulty is confined to one worked example that can be resolved from its solution.
The best free additional math resources
Comprehensive study guides created by experienced educators. Everything you need to master O Level Additional Mathematics.
Comprehensive A Math Coverage
Study guides covering all O Level Additional Math topics aligned with Singapore syllabus (4047)
Step-by-Step Video Solutions
HD video walkthroughs by experienced tutors showing detailed problem-solving techniques
Free Downloadable Worksheets
Print-ready worksheets with practice questions and complete worked solutions for every topic
O Level Additional Mathematics Study Guides
Master O Level Additional Math with our comprehensive study guides. Keep the O-Level A-Math formula sheet beside you as you practise, then use each guide below to understand when the formulas apply.
Topics Covered:
- Pascal's Triangle
- Binomial Coefficients
- Binomial Expansion
- Applications of Binomial Theorem
Topics Covered:
- Laws of Indices
- Negative Indices
- Fractional Indices
- Zero Index
Topics Covered:
- Simplifying Surds
- Operations with Surds
- Rationalizing Denominators
- Solving Equations with Surds
Topics Covered:
- Laws of Logarithms
- Change of Base
- Logarithmic Equations
- Applications of Logarithms
Topics Covered:
- Product Rule
- Quotient Rule
- Chain Rule
- Implicit Differentiation
+ 2 more topics
Topics Covered:
- Integration of Power Functions
- Integration of Reciprocal Functions
- Integration of Exponential Functions
- Integration of Trigonometric Functions
+ 2 more topics
Topics Covered:
- Basic Rules of Definite Integral
- Properties of Definite Integrals
- Integration as Reverse of Differentiation
- Finding the Equation of a Curve
Topics Covered:
- Trigonometric Identities
- Compound Angle Formulas
- Double Angle Formulas
- R-Formula
+ 1 more topics
Topics Covered:
- Basic Trigonometric Graphs
- Amplitude and Period
- Phase Shift
- Vertical Translation
+ 1 more topics
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