
SECONDARY O-LEVEL
A-MATH TUITION
SECONDARY 3 TO 4

A-Math:
The Foundation of Problem-Solving
Our Upper Secondary Additional Mathematics (A-Math) programme is tailored for students in Secondary 3 and 4, who wish to deepen their understanding of advanced topics. A-Math is an optional subject offered alongside E-Math that teaches students mathematical concepts crucial for further education. Doing well in A-Math provides a strong foundation for future concepts taught in Junior College. It focuses on algebraic concepts and logical reasoning, specifically emphasising algebra and calculus, geometry, and trigonometry. This programme aims at equipping our students with the skills needed for complex problem-solving and analytical thinking.
What you can look forward to:
Alignment with MOE
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​Our Additional Math (A Math) programme is fully aligned with the MOE syllabus, equipping students with essential skills in algebra, geometry, trigonometry, and elementary calculus. We focus on building strong mathematical foundations while exposing students to real-world applications such as optimisation, motion, and financial modelling. Through guided problem-solving and mathematical modelling tasks, students develop the reasoning and analytical skills needed for success in A Math and beyond.
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Features:​
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Real-world math scenarios
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To understand how topics like calculus, logarithms and trigonometry connect to real-world problems, helping students see the value of advanced math beyond the classroom​​
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Error analysis & pattern spotting
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Foster critical thinking to identify and correct errors in complex problems, ensuring precision in multi-step solutions and enhancing mathematical rigour
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Advanced problem-solving strategies
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To confidently break down questions and answer them comprehensively and efficiently​
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Curated learning materials​
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Knockout Math's hand-crafted notes and practice questions organised to train students in math using the KICK method​
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Tech-tools
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Simulation and visualisation activities
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To improve independent learning and digital literacy​
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Secondary 3
Express A-Math
Syllabus
*The G3 Math syllabus was introduced in 2024 and currently applies only to Sec 1 students. Our Sec 3 and 4 classes still follow the previous Express/NA/NT streams. As G3 rolls out to upper levels in future years, we’ll adapt our programmes to stay fully aligned.
A-Math is a more advanced and abstract subject compared to E-Math, covering complex topics such as algebraic proofs, logarithms, trigonometric identities, and calculus. It challenges students to think critically, solve multi-step problems, and apply mathematical reasoning in more sophisticated ways.
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Secondary 3 O-Level A-Math Syllabus
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Quadratic Functions
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Equations and Inequalities
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Surds
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Polynomials, Cubic Equations and Partial Fractions
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Binomial Theorem and its Applications
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Exponential and Logarithmic Functions
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Coordinate Geometry
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Linear Law
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Trigonometric Functions and Graphs
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Trigonometric Equations and Identities
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Secondary 4
Express A-Math
Syllabus
*The G3 Math syllabus was introduced in 2024 and currently applies only to Sec 1 students. Our Sec 3 and 4 classes still follow the previous Express/NA/NT streams. As G3 rolls out to upper levels in future years, we’ll adapt our programmes to stay fully aligned.
A-Math is a more advanced and abstract subject compared to E-Math, covering complex topics such as algebraic proofs, logarithms, trigonometric identities, and calculus. It challenges students to think critically, solve multi-step problems, and apply mathematical reasoning in more sophisticated ways.
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Secondary 4 O-Level A-Math Syllabus
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Techniques of Differentiation (Polynomials, Trigonometric, Exponential and Logarithmic functions)
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Applications of Differentiation: Increasing and decreasing functions
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Applications of Differentiation: Equations of tangents and normals
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Applications of Differentiation: Rates of change
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Applications of Differentiation: Stationary points
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Applications of Differentiation: Maximisation and Minimisation problems
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Techniques of Integration ( Polynomials, Exponential, 1/x and 1/(ax+b) )
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Applications of Integration: Definite Integrals and Area under a curve
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Application of Differentiation and Integration: Kinematics
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Proofs in Plane Geometry

Referral Programme
Know someone who could use a math confidence boost? Refer a friend to Knockout Math—when they sign up for our math tuition classes, you get $200 cash, and they get the support they need to improve and thrive. Everybody wins. No referral limit, so keep the good vibes (and rewards) coming!