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Curriculum/Secondary 4
Singapore Maths · Ages 15–16

Secondary 4 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 4 mathematics

Secondary 4 is the final year in the Secondary 1 to Secondary 4 sequence, and students continue to develop mathematical understanding within the MOE subject level they study. The three strands remain Number and Algebra, Geometry and Measurement, and Statistics and Probability. The content is not identical across subject levels, so a learner's school course materials provide the clearest guide to what they are expected to study and how topics build on earlier years.

At this stage, mathematics often asks students to use several ideas together: represent a relationship, select a method, carry it through accurately and interpret the result. Graphs, equations, geometric properties and data can all serve as tools for modelling or explaining a situation. Keeping notation clear and checking the answer against the question are useful habits when a problem takes several steps or combines topics.

The current Secondary practice in Singapore Math Drills covers selected live topics. Examples in the live set include graphs of power and exponential functions, sets and Venn diagrams, matrices, vectors, statistics and probability. This is focused topic practice, and school materials remain the reference for the learner's subject-level course and its full sequence. A parent can use that distinction to decide when a focused drill fits alongside classwork or revision.

Progressive hints and worked solutions can help a learner inspect a step that feels uncertain, then compare the explanation with their own approach. The interactive skill map shows practice progress and can open a drill on a targeted subtopic. Used in short sessions, these features support review of a chosen area without suggesting a score outcome or replacing the student's wider learning plan.

As your teen approaches the next stage after Secondary school, help them notice which approaches they can now choose independently and which topics need another pass. Talking through a solution can reveal whether the challenge is algebra, interpretation, a diagram or careful calculation. Such reflection turns practice into useful information and helps learners carry sound mathematical habits into future study.

What changes from Secondary 3

S4 continues the Secondary progression at the subject level a student studies, with further connections across algebra, geometry, statistics and probability. The live practice set includes selected topics such as power and exponential graphs, sets, matrices, vectors, statistics and probability.

Topics and subtopics

Mathematics

  • Graphs of Power & Exponential Functions (S4)

    • Graphs of Power Functions
    • Graphs of Exponential Functions
    • Gradient of a Curve by Drawing a Tangent
  • Sets & Venn Diagrams (S4)

    • Set Language and Notation
    • Union and Intersection
    • Venn Diagrams
  • Matrices (S4)

    • Displaying and Interpreting Matrices
    • Adding and Subtracting Matrices
    • Scalar Multiplication of Matrices
    • Multiplying Matrices
  • Vectors (S4)

    • Vector Notation and Translation
    • Position Vectors and Magnitude
    • Sum and Difference of Vectors
    • Scalar Multiples of Vectors
    • Geometric Problems with Vectors
  • Statistics (S4)

    • Quartiles, Percentiles and Interquartile Range
    • Cumulative Frequency Diagrams
    • Box-and-Whisker Plots
    • Standard Deviation
    • Comparing Data Sets Using Mean and Standard Deviation
  • Probability (S4)

    • Possibility Diagrams
    • Tree Diagrams
    • Addition and Multiplication of Probabilities

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 4 practice
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