Additional Mathematics (A-Math) is one of the most challenging O-Level subjects in Singapore, but also one of the most rewarding. It not only strengthens logical reasoning and analytical thinking, but also prepares students for advanced studies in science, engineering, and computing.
If you’re aiming for an A1 or A2 in A-Math, this guide will help you understand how to approach the subject strategically—covering exam tips, study techniques, and what high-performing students do differently.
1. Know What Makes A-Math Different
A-Math goes beyond E-Math in both depth and complexity. It includes more abstract concepts and requires strong algebraic manipulation and problem-solving skills. Topics include:
- Quadratic and Polynomial Functions
- Logarithms and Exponentials
- Coordinate Geometry
- Calculus (Differentiation and Integration)
- Trigonometry (Advanced)
- Inequalities and Modulus Functions
Understanding this difference helps you shift your mindset—A-Math is not about memorising formulas, it’s about applying logic, patterns, and processes.
2. Focus on the Heaviest-Weighted Topics
The A-Math O-Level exam in Singapore consists of 2 papers of 2 hours 15 minutes each. Key topics that carry a lot of weight include:
- Algebra (Binomial expansion, Partial fractions, Surds)
- Functions and Graphs (Quadratic, Modulus, Rational functions)
- Trigonometry (Radian measure, Identities, Graphs)
- Calculus (Differentiation and Integration)
Scoring well in these areas already gives you a major advantage. Prioritise mastering these before spending too much time on lower-weighted topics.
3. Build a Strong Foundation in Algebra
Algebra is the core of A-Math. Weakness in algebra will cause students to struggle across multiple topics, from calculus to trigonometry.
Tips to master algebra:
- Practice simplifying complex expressions step by step
- Avoid careless sign mistakes by slowing down in key steps
- Don’t skip foundational rules (e.g. factorisation, indices, laws of surds)
A neat and organised solution often reflects a clearer mind—and fewer marks lost.
4. Use a Problem-Solving Framework
Don’t jump into solving a question blindly. Instead, develop a habit of structured thinking:
- Understand the problem
- Plan your method (what formula or approach is needed?)
- Execute the steps carefully
- Check your answer (does it make sense in the context?)
This “UPER” model (Understand, Plan, Execute, Review) is used by top scorers and can dramatically reduce careless errors.
5. Practice Using Past Year Papers and TYS
Practice isn’t just about doing a lot—it’s about doing the right type of questions.
Start with Ten-Year Series (TYS) books or O-Level past year papers:
- Sort questions by topic and difficulty
- Track your accuracy and timing
- Review fully worked solutions, not just answer keys
Closer to the O-Levels, focus more on full-paper timed practices to build stamina and exam readiness.
Useful link: Sec Amath Notes
6. Learn Graph Sketching Inside-Out
Many A-Math questions test your ability to sketch or interpret graphs—especially modulus, quadratic, and rational functions.
Tips:
- Memorise basic graph shapes and key turning points
- Practise sketching without calculators
- Understand transformations like reflection, translation, and dilation
A small error in a graph can cost multiple marks, so aim for clarity and precision.
7. Calculus: Understand, Don’t Just Memorise
Calculus is a game-changer in A-Math. Once you understand differentiation and integration conceptually, it becomes very manageable.
Here’s how to do well:
- Memorise basic rules and formulas (power, chain, product rule)
- Know the applications: gradient, maxima & minima, area under curve
- Practise problems that integrate calculus with algebra and geometry
Start with simple problems and gradually tackle those that involve multiple concepts in one question.
8. Use Error Analysis to Learn Efficiently
Just like in E-Math, don’t just practice blindly—learn from your mistakes.
Maintain an error logbook where you:
- Write the question you got wrong
- Identify why it went wrong (careless, concept misunderstanding, etc.)
- Rewrite the correct solution and method
This method improves retention and ensures you don’t repeat the same mistake during the actual exam.
9. Create a Formula & Concept Summary Sheet
With so many formulas and identities in A-Math, it’s smart to compile a summary sheet:
- Group them by topic
- Include when to use each formula
- Keep it visual with colour codes or mind maps
Review this sheet regularly, especially before school tests and exams.
10. Don’t Wait to Ask for Help
A-Math can get overwhelming when concepts pile up. If you’re struggling to understand a topic, don’t delay:
- Ask your school teacher during consultation
- Form a study group with friends to discuss hard problems
- Consider a qualified A-Math tutor in Singapore who understands the latest syllabus
Timely clarification saves you hours of frustration later.
11. Prepare Mentally for the Exam
A-Math exams are long and mentally draining. You need to stay sharp from question 1 to the last page.
To build exam endurance:
- Practise under real conditions—no phone, strict timing
- Eat a proper meal before the exam
- Don’t panic if you can’t solve a question—move on and return later
Mental preparation is as important as academic readiness.
Conclusion: You Have What It Takes
Scoring well in A-Math is tough—but not impossible. It rewards those who approach it with strategy, consistency, and resilience. You don’t need to be naturally gifted—you just need to be disciplined.
Let’s summarise the keys to success:
- Understand the syllabus and focus on high-weight topics
- Build strong algebra and calculus foundations
- Practice past papers and learn from your errors
- Seek help early and stay mentally prepared
With the right habits and mindset, you can ace A-Math—and open doors to your future in JC, poly, or university.