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Curriculum/Secondary 3
Singapore Maths · Ages 14–15

Secondary 3 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 3 mathematics

Secondary 3 is a point where mathematical ideas become more connected and the variation between MOE subject levels matters even more. The curriculum continues through Number and Algebra, Geometry and Measurement, and Statistics and Probability, but the depth and sequence differ by course. In the G3 syllabus, for example, students encounter more advanced work with functions, coordinate geometry, trigonometry and circle properties. These are curriculum examples, not a description of every student's programme.

As topics grow more abstract, students need to move between symbolic work and visual meaning. A graph can show how a function behaves; a diagram can make a geometric relationship easier to reason about; an equation can capture constraints in a situation. Careful use of notation, clear steps and a final check all matter. Learners benefit from knowing not just which procedure applies, but what the result says about the original problem.

For parents, it can be useful to ask your teen to talk through the first decision in a solution. Which facts are given? What relationship links them? Which representation might help? These questions encourage independent reasoning without taking over the work. When a learner is stuck, returning to an earlier idea such as algebraic manipulation, graph interpretation or angle relationships may show what needs more practice.

Singapore Math Drills focuses its Secondary practice on selected live topics. The current set offers focused revision rather than a complete course for every subject level; a student's school syllabus and teacher remain the reference for coverage and order. Progressive hints and worked solutions can help a learner examine a difficult step, and the interactive skill map can show practice progress and open a targeted drill on a subtopic.

Secondary 3 is an important year for strengthening the links between concepts, methods and explanations. A learner who can show a line of reasoning is better placed to find an error and make use of feedback. Encourage your teen to keep working organised and to check whether a result is plausible in context. This thoughtful approach supports continued learning as the final Secondary year brings further mathematical topics and applications.

What changes from Secondary 2

S3 brings a step up in abstraction and in how topics connect; the exact content and depth vary across MOE subject levels. In the G3 sequence, examples include functions, coordinate geometry, trigonometry and circle properties.

Topics and subtopics

Mathematics

  • Indices & Standard Form (S3)

    • Laws of Indices
    • Zero, Negative and Fractional Indices
    • Standard Form
  • Quadratic Equations (S3)

    • Solving by Completing the Square
    • Solving by the Quadratic Formula
    • Solving Graphically
    • Fractional Equations Reducible to Quadratic
    • Forming Quadratic Equations
  • Linear Inequalities (S3)

    • Simultaneous Linear Inequalities
    • Solution Sets on a Number Line
  • Graphs of Quadratic Functions (S3)

    • Sketching from Completed-Square Form
    • Sketching from Factorised Form
    • Turning Point and Line of Symmetry
  • Coordinate Geometry (S3)

    • Gradient of a Straight Line
    • Length of a Line Segment
    • Equation of a Straight Line
    • Geometric Problems with Coordinates
  • Congruence & Similarity (S3)

    • Scale Drawings
    • Congruence and Similarity Tests
    • Ratio of Areas of Similar Figures
    • Ratio of Volumes of Similar Solids
  • Trigonometry (S3)

    • Sine and Cosine of Obtuse Angles
    • Area of a Triangle Using Sine
    • Sine Rule
    • Cosine Rule
  • Bearings & 3D (S3)

    • Bearings
    • Angles of Elevation and Depression
    • Three-Dimensional Problems
  • Circle Properties (S3)

    • Symmetry Properties of Circles
    • Angle Properties of Circles
  • Arc Length, Sector & Radians (S3)

    • Arc Length
    • Sector Area
    • Area of a Segment
    • Radian Measure

Build confidence with focused practice

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

Try a sample drillStart free Secondary 3 practice
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