Singapore Math Drills
How it worksCurriculumPricingFree PracticeResourcesFor Schools
Sign in
Start Free
Curriculum/Primary 5
Singapore Maths · Ages 10–11

Primary 5 Maths Topics and Practice

Explore mathematics topics for Primary 5, mapped to the Singapore MOE syllabus.

About Primary 5 mathematics

Primary 5 brings several important ideas together and expects learners to use them across more involved problems. The Singapore MOE syllabus extends whole numbers to 10 million and develops all four operations with fractions and decimals. Learners encounter percentage and rate, and ratio is introduced as a way to compare quantities and share them. These topics connect arithmetic to situations where the relationship between amounts matters as much as the amounts themselves.

Measurement and geometry also become more demanding. Learners find the area of triangles and composite figures, calculate the volume of cubes and cuboids, and use properties of angles and quadrilaterals. They work with conversions between metric units and apply rates to find a quantity per unit of another quantity. A clear diagram, a labelled unit or a table of values can help keep the relationships visible during a solution.

Because a question may involve more than one operation, choosing a plan becomes a central skill. A learner might need to identify the whole before finding a percentage, or find the total ratio parts before sharing a quantity. Checking whether the result is plausible and explaining each step can reveal where an assumption or calculation needs another look. Careful reasoning is useful even when the arithmetic itself is familiar.

Singapore Math Drills offers MOE-aligned Primary practice along with progressive hints and worked solutions. Its interactive skill map lets families review progress and start a focused drill on a particular subtopic. A parent can use the explanation to discuss a method after a session, or select a narrower area for practice when a broad topic feels difficult. These tools support practice; they do not promise a particular exam result.

Primary 5 lays groundwork for the final Primary year by making ratio, percentage, fraction operations and multi-step reasoning more familiar. Learners benefit from being able to show how quantities are related, not just write a calculation. Encourage your child to describe the plan before working it out and to check the answer against the original situation. This makes mathematical decisions easier to follow as the problems become richer.

What changes from Primary 4

P5 raises the number range to 10 million, broadens fraction and decimal operations, and introduces percentage, rate and ratio. Geometry adds triangle area and volume of cubes and cuboids, with more multi-step applications linking quantities and units.

Topics and subtopics

Mathematics

  • Whole Numbers (P5)

    • Numbers up to 10 Million
    • Order of Operations
    • Multiplication and Division by Powers of 10
    • Bar Models
    • Word Problems
    • Rounding
    • Multiplication by Multiples of 100
  • Fractions (P5)

    • Addition
    • Subtraction
    • Fraction of a Set
    • Remainder Concept
    • Advanced Branching
    • Multiplication
    • Division
    • Comparing Fractions
    • Decimals
    • Equivalent Fractions
    • Improper Fractions and Mixed Numbers
    • Fraction of a Whole and Equivalent Cost
    • Fraction and Division
    • Fraction of a Remainder
    • Fraction of a Whole (Reverse)
  • Decimals (P5)

    • Powers of 10
    • Unit Conversions
    • Rounding

More Primary 5 maths guidance

  • Primary 5 Math Sample Questions Explained

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 Primary 5 practice
Previous grade← Previous: Primary 4Next gradeNext: Primary 6 →
  • Word Problems
  • Real-World Transactions
  • Tiered Pricing
  • Place Value
  • Measurement Conversion and Comparison
  • Rounding Decimals
  • Division of Decimals
  • Measurement Conversion
  • Percentage (P5)

    • GST
    • Discount
    • Interest
    • Percentage Change
    • Percentage of a Quantity
    • Percentage of a Shaded Grid
    • Expressing a Part as a Percentage
    • Finding a Percentage Part of a Whole
    • Annual Interest
  • Rate (P5)

    • Unit Rates
    • Rate Comparison
    • Rate Word Problems
    • Finding Total Amount from a Rate
    • Rate of Flow (per second/minute)
    • Tiered Rates
  • Area of Triangle (P5)

    • Base and Height of a Triangle
    • Finding Area of Triangle
    • Area of Composite Figures
    • Composite Area
    • Area of Triangle from a Folded Figure
  • Volume (P5)

    • Basic Volume
    • Water Depth
    • Unit Conversion
    • Volume of Cube and Cuboid
    • Volume of Liquid in a Rectangular Tank
    • Drawing Solids and Views
    • Spatial Reasoning
  • Geometry (P5)

    • Area & Perimeter
    • Area of Triangle
    • Angle Properties
    • Quadrilaterals
    • Angles
    • Composite Figures
    • Area of Parallelogram
    • Area of Trapezium
    • Triangles
    • Area of Rhombus
    • Vertically Opposite Angles
    • Properties of Triangles
    • Unknown Angles in Composite Figures
    • Parallelogram and Rhombus Angles
    • Composite Perimeter and Area
  • Data Analysis (P5)

    • Line Graphs
    • Pie Charts
    • Data Table and Pie Chart Completion
    • Bar Graphs
  • Heuristics (P5)

    • Supposition Method
    • Working Backwards
    • Model Method
    • Grouping
    • Before and After
    • Look for a Pattern
  • Ratio (P5)

    • Ratio in Simplest Form
    • Equivalent Ratios
    • Dividing in a Given Ratio
    • Ratio Word Problems