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The Mastery Path

Singapore Math Curriculum

Primary topics mapped to the Singapore MOE syllabus, alongside selected live Secondary topics, sequenced for mastery. We show 94 available topics across Primary 1 to Secondary 4, including Secondary 2 algebraic expansion and factorisation, quadratic equations, and probability, plus selected Secondary 3 topics such as indices and standard form, linear inequalities, coordinate geometry, trigonometry, and circle properties, and Secondary 4 topics including Graphs of Power & Exponential Functions, Sets & Venn Diagrams, Matrices, Vectors, Statistics, and Probability. G3 Mathematics — Additional Mathematics is not covered yet.

Primary

Primary 1

Ages 6–7

1 Subjects · 5 Topics

Mathematics

  • Whole Numbers (P1)
    Numbers up to 100Addition and SubtractionMultiplication and Division+2 more
  • Money (P1)
    Money
  • Measurement (P1)
    LengthTime
Start Primary 1 Practice

Primary 2

Ages 7–8

1 Subjects · 6 Topics

Mathematics

  • Whole Numbers (P2)
    Addition and SubtractionNumbers up to 1000Multiplication and Division
  • Fractions (P2)
    Addition and Subtraction of like fractionsFraction of a wholeComparing Fractions

Primary 3

Ages 8–9

1 Subjects · 8 Topics

Mathematics

  • Whole Numbers (P3)
    Numbers up to 10,000Addition and SubtractionMultiplication and Division+18 more
  • Fractions (P3)
    Equivalent fractionsAddition and Subtraction of related fractionsComparing Fractions+6 more

Primary 4

Ages 9–10

1 Subjects · 9 Topics

Mathematics

  • Whole Numbers (P4)
    Numbers up to 100,000Rounding and EstimationFactors and Multiples+3 more
  • Fractions (P4)
    Mixed Numbers and Improper FractionsComparing FractionsAddition and Subtraction+2 more

Primary 5

Ages 10–11

1 Subjects · 11 Topics

Mathematics

  • Whole Numbers (P5)
    Numbers up to 10 MillionOrder of OperationsMultiplication and Division by Powers of 10+4 more
  • Fractions (P5)
    AdditionSubtractionFraction of a Set+12 more

Primary 6

Ages 11–12

1 Subjects · 14 Topics

Mathematics

  • Algebra (P6)
    Algebraic ExpressionsAlgebra Word ProblemsEvaluating Algebraic Expressions+1 more
  • Ratio (P6)
    SimplificationRepeated IdentityWord Problems

Secondary

Explore the topics and subtopics currently available for each live Secondary level. Selected Secondary topics build toward the G3 Mathematics O-Level, which is examined in two papers: Paper 1 short-answer questions and Paper 2 longer, multi-step problems.

Secondary 1

Ages 12–13

1 Subjects · 13 Topics

Mathematics

  • Numbers & Operations (S1)
    Primes and Prime FactorisationHCF and LCMSquares, Cubes and Roots
  • Integers & Negative Numbers (S1)
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Singapore Math Drills
Singapore Math Drills
Practice · Mastery · Method
Singapore Math Drills
Practice · Mastery · Method

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© 2026 Singapore Math Drills
  • Geometry (P1)
    2D Shapes
  • Statistics (P1)
    Picture Graphs
    • Money (P2)
    Dollars and cents
  • Measurement (P2)
    Measurement
  • Geometry (P2)
    3D Shapes2D Shapes
  • Statistics (P2)
    Picture Graphs with Scales
    • Start Primary 2 Practice
  • Money (P3)
    Addition and subtraction of moneySubtraction of Money in Decimal NotationGuess-and-Check with Money+3 more
  • Measurement (P3)
    MeasurementLength — Compound Units and ConversionDuration in Seconds+9 more
  • Area and Perimeter (P3)
    Area and PerimeterArea by Counting Unit SquaresPerimeter of a Composite Figure on a Grid+3 more
  • Geometry (P3)
    AnglesPerpendicular and Parallel LinesAngles — Right Angles+3 more
  • Statistics (P3)
    Bar GraphsTablesReading and Interpreting Bar Graphs+1 more
  • Heuristics (P3)
    • Start Primary 3 Practice
  • Decimals (P4)
    Decimals and FractionsPlace ValueRounding+3 more
  • Geometry (P4)
    AnglesProperties of Shapes
  • Area and Perimeter (P4)
    Area and PerimeterComposite Figures
  • Symmetry (P4)
    Line Symmetry
  • Nets of Solids (P4)
    Nets of Solids
  • Tables and Line Graphs (P4)
    Interpreting DataInterpreting Line Graphs
  • Pie Charts (P4)
    Understanding Pie Charts
    • Start Primary 4 Practice
  • Decimals (P5)
    Powers of 10Unit ConversionsRounding+8 more
  • Percentage (P5)
    GSTDiscountInterest+6 more
  • Rate (P5)
    Unit RatesRate ComparisonRate Word Problems+3 more
  • Area of Triangle (P5)
    Base and Height of a TriangleFinding Area of TriangleArea of Composite Figures+2 more
  • Volume (P5)
    Basic VolumeWater DepthUnit Conversion+4 more
  • Geometry (P5)
    Area & PerimeterArea of TriangleAngle Properties+12 more
  • Data Analysis (P5)
    Line GraphsPie ChartsData Table and Pie Chart Completion+1 more
  • Heuristics (P5)
    Supposition MethodWorking BackwardsModel Method+3 more
  • Ratio (P5)
    Ratio in Simplest FormEquivalent RatiosDividing in a Given Ratio+1 more
    • Start Primary 5 Practice
    +8 more
  • Average (P6)
    Calculating AverageFinding Total/Missing ValueAverage with Transfer+4 more
  • Circles (P6)
    Circumference of a CircleSemicircles and QuadrantsArea of a Circle+4 more
  • Geometry (P6)
    Angles in Geometric FiguresProperties of ParallelogramsNets of Solids+21 more
  • Data Analysis (P6)
    Pie ChartsFraction of a Pie ChartRatio from Bar Graphs (Unscaled)+5 more
  • Percentage (P6)
    Finding the Whole Given a PartPercentage Increase and DecreasePercentage - Combined Charges+6 more
  • Fractions (P6)
    Division of FractionsFraction Word ProblemsFraction of a Whole (Visual)+9 more
  • Volume (P6)
    Volume of CuboidsVolume of Liquid in Rectangular TanksCuboid Face Areas and Dimensions+1 more
  • Whole Numbers (P6)
    Place ValueAverage and Smallest DifferenceNumber Patterns+5 more
  • Decimals (P6)
    Decimals on a Number LineFraction-Decimal Conversion and RoundingComparing and Ordering Decimals+4 more
  • Measurement (P6)
    Length ConversionComparing Mixed-Unit, Decimal and Fraction MassesVolume Conversion (litres and millilitres)+8 more
  • Rate (P6)
    Finding an Unknown Tiered RateRate Word Problems (Mixed Units)Tiered Rates and Latest Return Time+1 more
  • Money (P6)
    Least-Cost Ticket BundlingPacks and Unit PricesMoney Word Problems (Coins)+2 more
    • Start Primary 6 Practice
    Comparing and Ordering Integers
    Four Operations on Integers
    Rational Numbers
  • Approximation & Estimation (S1)
    Rounding to Decimal PlacesSignificant FiguresEstimation
  • Algebraic Expressions & Formulae (S1)
    Writing Algebraic ExpressionsEvaluating Expressions and FormulaeSimplifying Linear Expressions+1 more
  • Linear Equations (S1)
    Solving Linear EquationsSimple Fractional EquationsForming Linear Equations
  • Number Patterns (S1)
    Continuing Number PatternsGeneral Term of a Sequence
  • Ratio, Rate & Speed (S1)
    RatioAverage RateSpeed and Average Speed
  • Percentage (S1)
    Percentage of a QuantityPercentage Increase and DecreaseReverse Percentage
  • Angles, Triangles & Polygons (S1)
    Angles and Parallel LinesProperties of Triangles and QuadrilateralsAngle Sum of Polygons
  • Perimeter & Area (S1)
    Area of Parallelograms and TrapeziumsComposite Plane Figures
  • Volume & Surface Area (S1)
    PrismsCylindersComposite Solids
  • Statistical Data Handling (S1)
    Reading Statistical DiagramsChoosing a Suitable DiagramMisleading Diagrams
  • Linear Functions & Graphs (S1)
    Cartesian CoordinatesGraphs of Linear FunctionsPositive and Negative Gradients
    • Start Secondary 1 Practice

    Secondary 2

    Ages 13–14

    1 Subjects · 12 Topics

    Mathematics

    • Map Scales & Proportion (S2)
      Map ScalesDirect ProportionInverse Proportion
    • Algebraic Expansion & Factorisation (S2)
      Expanding Two Linear ExpressionsPerfect Square IdentitiesFactorisation by Grouping+1 more
    • Algebraic Fractions & Formulae (S2)
      Changing the Subject of a FormulaFinding an Unknown in a FormulaMultiplying and Dividing Algebraic Fractions+1 more
    • Quadratic Functions & Graphs (S2)
      Graphs of Quadratic FunctionsProperties of Quadratic Graphs
    • Linear Inequalities (S2)
      Solving Linear InequalitiesInequalities on a Number Line
    • Simultaneous Linear Equations (S2)
      Graphical MethodSubstitution MethodElimination Method+1 more
    • Quadratic Equations (S2)
      Solving by Factorisation
    • Congruence & Similarity (S2)
      Congruent FiguresSimilar FiguresEnlargement and Reduction
    • Pythagoras' Theorem & Trigonometry (S2)
      Pythagoras' TheoremRight-Angled Triangle TestTrigonometric Ratios
    • Volume & Surface Area (S2)
      PyramidsConesSpheres
    • Statistics (S2)
      Dot Diagrams, Histograms and Stem-and-LeafMisinterpreting Statistical DiagramsMean, Median and Mode+1 more
    • Probability (S2)
      Probability as ChanceProbability of Single Events
    Start Secondary 2 Practice

    Secondary 3

    Ages 14–15

    1 Subjects · 10 Topics

    Mathematics

    • Indices & Standard Form (S3)
      Laws of IndicesZero, Negative and Fractional IndicesStandard Form
    • Quadratic Equations (S3)
      Solving by Completing the SquareSolving by the Quadratic FormulaSolving Graphically+2 more
    • Linear Inequalities (S3)
      Simultaneous Linear InequalitiesSolution Sets on a Number Line
    • Graphs of Quadratic Functions (S3)
      Sketching from Completed-Square FormSketching from Factorised FormTurning Point and Line of Symmetry
    • Coordinate Geometry (S3)
      Gradient of a Straight LineLength of a Line SegmentEquation of a Straight Line+1 more
    • Congruence & Similarity (S3)
      Scale DrawingsCongruence and Similarity TestsRatio of Areas of Similar Figures+1 more
    • Trigonometry (S3)
      Sine and Cosine of Obtuse AnglesArea of a Triangle Using SineSine Rule+1 more
    • Bearings & 3D (S3)
      BearingsAngles of Elevation and DepressionThree-Dimensional Problems
    • Circle Properties (S3)
      Symmetry Properties of CirclesAngle Properties of Circles
    • Arc Length, Sector & Radians (S3)
      Arc LengthSector AreaArea of a Segment+1 more
    Start Secondary 3 Practice

    Secondary 4

    Ages 15–16

    1 Subjects · 6 Topics

    Mathematics

    • Graphs of Power & Exponential Functions (S4)
      Graphs of Power FunctionsGraphs of Exponential FunctionsGradient of a Curve by Drawing a Tangent
    • Sets & Venn Diagrams (S4)
      Set Language and NotationUnion and IntersectionVenn Diagrams
    • Matrices (S4)
      Displaying and Interpreting MatricesAdding and Subtracting MatricesScalar Multiplication of Matrices+1 more
    • Vectors (S4)
      Vector Notation and TranslationPosition Vectors and MagnitudeSum and Difference of Vectors+2 more
    • Statistics (S4)
      Quartiles, Percentiles and Interquartile RangeCumulative Frequency DiagramsBox-and-Whisker Plots+2 more
    • Probability (S4)
      Possibility DiagramsTree DiagramsAddition and Multiplication of Probabilities
    Start Secondary 4 Practice