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Curriculum/Secondary 2
Singapore Maths · Ages 13–14

Secondary 2 Maths Topics and Practice

Browse selected live topics for focused Secondary practice. Your learner’s school materials remain the guide to the full course sequence and coverage.

About Secondary 2 mathematics

Secondary 2 continues the move from arithmetic toward more formal ways of expressing and analysing relationships. In the MOE curriculum, students encounter Number and Algebra, Geometry and Measurement, and Statistics and Probability, with depth and topic timing shaped by their subject level. Across the syllabuses, this stage can develop work with expressions, graphs, proportion, geometric properties and data. It asks learners to connect a procedure to the structure that makes it valid.

Algebra may involve simplifying or expanding expressions and using equations to represent a situation. Graphs offer a visual way to study how two quantities change together. Geometry asks students to use properties and relationships rather than relying only on measurement. In statistics and probability, organising information and describing chance help learners interpret what data can and cannot show. These strands reward careful notation and a habit of checking each step.

For parents, the most helpful support is often to make the reasoning visible. Ask your learner what a symbol represents, which information in a problem is known, and how a graph or diagram relates to the original situation. This keeps practice from becoming a list of disconnected rules. If a method breaks down, looking back at a prerequisite idea can help identify the missing link without treating a mistake as a verdict on ability.

Singapore Math Drills provides selected live topics for Secondary practice. The available topics are a focused practice set; the student's school materials remain the guide to the full sequence and breadth of learning. Progressive hints and worked solutions support question-by-question review, while the interactive skill map can show practice progress and open a drill focused on one subtopic. These features give families a practical place to revisit a concept between lessons.

Secondary 2 is part of a progression, not a finish line. Consistent practice can help students become more fluent with notation, explain a strategy and check whether an answer fits the question. Encourage your teen to write enough working to make the logic clear, especially when a problem combines ideas. The ability to connect representations now will help as later Secondary mathematics brings more formal functions, equations and geometric reasoning.

What changes from Secondary 1

S2 builds on the first Secondary year with more formal algebraic manipulation and broader work with graphs, proportion, geometry and data, depending on subject level. Students are increasingly expected to connect symbols and representations when explaining a solution.

Topics and subtopics

Mathematics

  • Map Scales & Proportion (S2)

    • Map Scales
    • Direct Proportion
    • Inverse Proportion
  • Algebraic Expansion & Factorisation (S2)

    • Expanding Two Linear Expressions
    • Perfect Square Identities
    • Factorisation by Grouping
    • Factorising Quadratic Expressions
  • Algebraic Fractions & Formulae (S2)

    • Changing the Subject of a Formula
    • Finding an Unknown in a Formula
    • Multiplying and Dividing Algebraic Fractions
    • Adding and Subtracting Algebraic Fractions
  • Quadratic Functions & Graphs (S2)

    • Graphs of Quadratic Functions
    • Properties of Quadratic Graphs
  • Linear Inequalities (S2)

    • Solving Linear Inequalities
    • Inequalities on a Number Line
  • Simultaneous Linear Equations (S2)

    • Graphical Method
    • Substitution Method
    • Elimination Method
    • Forming Simultaneous Equations
  • Quadratic Equations (S2)

    • Solving by Factorisation
  • Congruence & Similarity (S2)

    • Congruent Figures
    • Similar Figures
    • Enlargement and Reduction
  • Pythagoras' Theorem & Trigonometry (S2)

    • Pythagoras' Theorem
    • Right-Angled Triangle Test
    • Trigonometric Ratios
  • Volume & Surface Area (S2)

    • Pyramids
    • Cones
    • Spheres
  • Statistics (S2)

    • Dot Diagrams, Histograms and Stem-and-Leaf
    • Misinterpreting Statistical Diagrams
    • Mean, Median and Mode
    • Mean of Grouped Data
  • Probability (S2)

    • Probability as Chance
    • Probability of Single Events

Build confidence with focused practice

Try a sample drill or start a free practice account to explore guided questions, progressive hints and worked solutions.

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