Upper Secondary
Mathematics
Mathematics is a core subject for all secondary school students in Singapore, and getting it right builds the foundation for many other subjects. At Inflex, we support students in mastering algebra, geometry, statistics, and other essential topics in a structured and relatable way. Whether a student is aiming to strengthen basics or score distinctions, we provide the guidance, strategies, and practice needed to help them succeed.
Our Mathematics philosophy
Mathematics at the upper secondary level is about developing clarity, structure, and confidence in problem-solving. At Inflex, we don't just prepare students for exams — we help them understand the logic behind each method and recognise how different topics connect. Whether it's algebra, trigonometry, or geometry, we focus on building strong conceptual understanding and effective strategies that students can apply across questions. With patient guidance and step-by-step teaching, we make Math feel less intimidating and more like a skill every student can master.
Clarity Before Speed
We prioritise understanding before rushing to solve — because real speed and accuracy come from knowing exactly what you're doing.
Confidence Through Practice
With structured guidance and steady effort, even hesitant learners can become confident problem-solvers.
Practical Thinking
We connect mathematical skills to real-world contexts and exam strategies, making learning more purposeful and relevant.
Mathematics Syllabus
Number and Algebra
Build strong algebraic problem-solving skills essential for exams and real-life situations. Learn to manipulate expressions, solve equations, and interpret mathematical relationships graphically.
Quadratic Equations and Functions
Master solving quadratic equations through factorisation, completing the square, and the quadratic formula. Understand how to graph parabolas and apply these skills to real-world problems.
Linear Inequalities
Learn to solve and represent linear inequalities on number lines. Understand simple and compound inequalities and how they apply to constraints in real-life situations.
Indices and Standard Form
Apply the laws of indices to simplify expressions. Learn to express and compute with large and small numbers using standard form — useful in both science and math problems.
Graphs of Functions and Graphical Solution
Understand how to sketch and interpret linear, quadratic, and other function graphs. Use graphical methods to solve equations and explore how graphs relate to real-world contexts.
Sets
Develop fluency in set notation and operations. Learn how to use Venn diagrams to solve problems involving union, intersection, and complement of sets — key for logic and probability.
Matrices
Gain a foundational understanding of matrices. Learn basic operations and how to apply matrices to solve systems of simultaneous equations efficiently.
Geometry and Measurement
Sharpen spatial reasoning and problem-solving skills through trigonometry, coordinate geometry, and circle theorems. Apply geometric principles to real-world and exam-based scenarios.
Coordinate Geometry
Learn to calculate gradients, midpoints, and distances on the Cartesian plane. Use coordinate methods to solve geometry questions involving lines and shapes.
Further Trigonometry
Deepen your understanding of trigonometric ratios and identities. Use the sine and cosine rules to solve triangles beyond right-angled cases.
Applications of Trigonometry
Apply trigonometry to practical problems involving angles of elevation, depression, height, and distance in real-life contexts.
Arc Length, Area of Sector and Radian Measure
Understand how to use radian measure and apply formulas to calculate arc lengths and areas of sectors in circular figures.
Congruence and Similarity Tests
Master the conditions for congruence and similarity in triangles. Use them to prove relationships and solve geometry problems.
Area and Volume of Similar Figures and Solids
Use scale factors and proportional reasoning to calculate area and volume in similar two-dimensional figures and three-dimensional solids.
Geometrical Properties of Circles
Learn key circle theorems involving angles, chords, tangents, and cyclic quadrilaterals. Apply them to solve geometric problems with precision.
Vectors
Understand vector notation, direction, and magnitude. Perform operations like vector addition, subtraction, and scalar multiplication for geometric applications.
Statistics and Probability
Build skills to analyze data, calculate probabilities, and make decisions based on statistical insights — essential for real-world applications and O-Level exam success.
Probability of Combined Events
Learn to calculate probabilities of combined, dependent, and independent events. Use tools like tree diagrams, sample spaces, and Venn diagrams for accurate analysis.
Statistical Data Analysis
Master how to present and interpret data using histograms, box plots, and cumulative frequency graphs. Understand key concepts like mean, median, mode, and interquartile range.