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Curriculum/Primary 6
Singapore Maths · Ages 11–12

Primary 6 Maths Topics and Practice

Explore mathematics topics for Primary 6, mapped to the Singapore MOE syllabus.

About Primary 6 mathematics

Primary 6 brings the Primary mathematics strands together in preparation for the next stage of learning. The Singapore MOE syllabus extends work with fractions, including division by a proper fraction, and develops percentage problems such as finding a whole from a part and percentage increase or decrease. Ratio moves beyond its introduction in Primary 5: learners compare two or three quantities, simplify ratios, find missing terms and divide a quantity in a given ratio.

Algebra appears as a new way to represent an unknown. Learners use letters in simple expressions, substitute values and solve straightforward linear equations with whole-number coefficients. In geometry they work with area and circumference of circles, including parts of circles and composite figures, and continue volume problems that ask for a missing dimension. Statistics includes average as total value divided by the number of data items, linking a calculation to what a data set represents.

The year gives learners opportunities to bring several ideas into one chain of reasoning. A problem may involve ratio and fractions, or connect volume to a missing length. It helps to read carefully, identify the known and unknown quantities, choose a representation, and check whether the result answers the question asked. A clear explanation can make a complex solution easier to review and can expose a small arithmetic slip.

Singapore Math Drills has MOE-aligned Primary practice with progressive hints and worked solutions. The interactive skill map gives parents a view of practice progress and opens focused drills on individual subtopics. A hint can offer a next step when a learner is unsure how to begin; the worked solution can then be compared with the learner's reasoning. This is one way to make revision specific and calm, while leaving room for school lessons and other study routines.

Primary 6 is a transition year, so it is useful to reinforce both skills and confidence in explaining a method. Rather than judging progress by speed alone, look for growing independence: can your learner decide which information matters, set out the steps and check the answer? Those habits continue to serve students as they meet new topics and more formal mathematical language in Secondary school.

What changes from Primary 5

P6 deepens ratio and percentage work, adds simple algebra and linear equations, and extends fraction division. Geometry includes circles and missing dimensions in volume problems, while statistics introduces the average of a data set.

Topics and subtopics

Mathematics

  • Algebra (P6)

    • Algebraic Expressions
    • Algebra Word Problems
    • Evaluating Algebraic Expressions
  • Ratio (P6)

    • Simplification
    • Repeated Identity
    • Word Problems
    • Sharing
    • Ratio Bar Models
    • Before & After Problems
    • Difference Problems
    • Ratio from a Pie Chart
    • Ratio with Offset Bar Models
    • Changing Ratio Word Problems
  • Average (P6)

    • Calculating Average
    • Finding Total/Missing Value
    • Average with Transfer
    • Average Concepts
    • Average with Balance-Model Mass
    • Extreme Values from an Average
  • Circles (P6)

    • Circumference of a Circle
    • Semicircles and Quadrants
    • Area of a Circle
    • Perimeter of Composite Figures (Circle)
    • Overlapping Quarter Circles
  • Geometry (P6)

    • Angles in Geometric Figures
    • Properties of Parallelograms
    • Nets of Solids
    • Perpendicular and Parallel Lines
    • Angles in Folded Figures
    • Line Symmetry
    • Angles in Triangles (Isosceles + Right-Angled)
    • Area of Composite Triangles
    • Angles of Rotation / Bearings on a Grid
    • Angles in Composite Triangle Figures
    • Area of Composite Figures (Ratio Segments)
    • Angles in Composite Triangles and Trapeziums
    • Views of 3D Solids Made of Cubes
    • Area and Perimeter Construction on a Grid
    • Parallelograms on a Grid
    • Symmetry on a Grid
    • Tiling with Identical Triangles
    • Squares within a Rectangle
    • Position and Direction on a Grid Map
    • Measuring Angles and Completing Figures on a Grid
  • Data Analysis (P6)

    • Pie Charts
    • Fraction of a Pie Chart
    • Ratio from Bar Graphs (Unscaled)
    • Line Graphs
    • Bar Graphs
    • Pie Chart and Bar Graph Combined
    • Pie Charts with Percentages
  • Percentage (P6)

    • Finding the Whole Given a Part
    • Percentage Increase and Decrease
    • Percentage - Combined Charges
    • Finding the Whole Given a Percentage Part
    • Percentage Increase (GST)
  • Fractions (P6)

    • Division of Fractions
    • Fraction Word Problems
    • Fraction of a Whole (Visual)
    • Improper Fractions and Mixed Numbers
    • Dividing a Fraction by a Whole Number
    • Fraction of a Whole (Ratio and Fraction Combined)
    • Fraction of a Divided Figure
    • Fraction Word Problems (Ratio and Remainder)
    • Mixed Numbers on a Number Line
    • Multiplying a Fraction by a Whole Number
  • Volume (P6)

    • Volume of Cuboids
    • Volume of Liquid in Rectangular Tanks
    • Cuboid Face Areas and Dimensions
  • Whole Numbers (P6)

    • Place Value
    • Average and Smallest Difference
    • Number Patterns
    • Order of Operations
    • Calculator Error Problems
  • Decimals (P6)

    • Decimals on a Number Line
    • Fraction-Decimal Conversion and Rounding
    • Comparing and Ordering Decimals
    • Dividing Decimals by Tens, Hundreds and Thousands
  • Measurement (P6)

    • Length Conversion
    • Comparing Mixed-Unit, Decimal and Fraction Masses
    • Volume Conversion (litres and millilitres)
    • Time Word Problems (Comparison)
    • Timetables and 24-hour Time
    • Reading Scales
  • Rate (P6)

    • Finding an Unknown Tiered Rate
    • Rate Word Problems (Mixed Units)
    • Tiered Rates and Latest Return Time
    • Savings with Bonus Rewards
  • Money (P6)

    • Least-Cost Ticket Bundling
    • Packs and Unit Prices

More Primary 6 maths guidance

  • Primary 6 Math Sample Questions Explained

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