Primary 6 (Grade 6) · Ages 11 to 12

Primary 6 Singapore Maths (Grade 6): Topics, Textbook and Workbook

Primary 6 Singapore Maths (Grade 6) is for children aged 11 to 12, the final primary year ending with the PSLE. Students master fractions, ratio, percentage, algebra, circles, volume and average through bar models and the CPA approach. Explico's Singapore Maths supports every Primary 6 topic with a textbook, workbook, solution videos and AI assessment.

Last reviewed 24 September 2026 by the Explico Maths editorial team.

Primary 6 student's workbook with a ratio bar model, and a solution video playing on a tablet PRACTISE Ali : Ben = 3 : 5 Ben has 24 more. Total = ? 2 units = 24 8 units = 96 BAR MODEL Ali Ben 24 ? Step 2: 1 unit = 12 Ratio: mastered Video solution
  • Singapore: 2nd in the world for maths, PISA 2025
  • Primary 1 to Primary 6, aligned to the MOE Singapore syllabus
  • Written by MOE Singapore-trained Singapore teachers
  • Print and eBook editions, taught in English
Curriculum

Primary 6 Maths Topics List (Grade 6)

Primary 6 students study the Singapore Primary 6 syllabus across three strands: Number and Algebra, Measurement and Geometry, and Statistics. Ratio, algebra and circles, brought together for the PSLE.

Number and Algebra

  • Fractions: dividing by a whole number and by a fraction
  • Ratio: equivalent ratios, simplifying, word problems
  • Percentage: increase and decrease; finding the whole
  • Algebra: expressions and simple linear equations

Measurement and Geometry

  • Circles: area and circumference, semicircles, quarter circles
  • Volume of cubes and cuboids
  • Angles in composite geometric figures

Statistics

  • Average: find the average, total or number of items

What changed in the updated syllabus: From 2026, Ratio and Average are taught in Primary 6, Speed has moved to Secondary 1, and Pie Charts and Nets are now taught in Primary 4. Explico's Singapore Maths follows this updated sequence.

Primary 6 Core Topics and Skills Compared

Primary 6 Singapore Maths: what students learn, where they struggle, and how we help
TopicStrandWhat students learnCommon difficultyHow Explico helps
Fractions Number and Algebra Divide a fraction by a whole number and by a fraction; word problems Multiplying by the wrong reciprocal Fraction models before the rule
Ratio Number and Algebra Equivalent and simplified ratios; fractions and ratio; word problems Treating 3 : 5 as 3/5 of the whole Unit bar models in every lesson
Percentage Number and Algebra Find the whole; percentage increase and decrease Using the new amount as the base A solution video for every workbook question
Algebra Number and Algebra Interpret expressions; solve simple linear equations; substitution Seeing a letter as a label, not a number Bar models that bridge to equations
Circles Measurement and Geometry Radius and diameter; area and circumference; composite figures Leaving out straight edges in perimeter Hands-on circle activities, then AI practice
Volume Measurement and Geometry Find a missing dimension, edge or base area; word problems Water-level problems with two containers Diagram-led worked solutions
Angles in geometric figures Measurement and Geometry Find unknown angles in composite figures Stating the property behind each step Maths Journal prompts to explain reasoning
Average Statistics Average, total and number of items; changing sets Average after a value joins or leaves AI assessment by learning objective

Primary 6 or Grade 6? Schools outside Singapore often say Grade 6. The content is the same Singapore Primary 6 syllabus, for learners aged 11 to 12.

Method

How Singapore Maths Teaches Primary 6: The CPA Approach and Bar Models

Singapore Maths builds understanding before speed, moving from objects to pictures to symbols so students know why a method works.

Concrete, Pictorial and Abstract steps for three quarters divided by 3 Concrete Hands-on objects Pictorial Bar models and pictures Abstract Numbers and symbols 3 quarter-discs shared among 3 children child 1 child 2 child 3 1 whole Each child gets 1 quarter 3 4 ÷ 3 = 1 4 Dividing a fraction
Concrete, Pictorial and Abstract steps for three quarters divided by 3
  1. Concrete: learn by handling

    Students handle counters, cubes and fraction pieces before meeting a rule.

  2. Pictorial: see the problem with bar models

    The bar model turns a word problem into a diagram, showing how quantities relate before calculating.

  3. Abstract: move to numbers and symbols

    Once the meaning is secure, students work with symbols, including their first algebraic equations.

  4. Problem-solving heuristics

    Students follow a clear routine: understand, plan, solve, check, using heuristics like working backwards and spotting patterns.

Worked example · Primary 6

Ali and Ben share stickers in the ratio 3 : 5. Ben has 24 more stickers than Ali. How many stickers do they have altogether?

  1. Draw 3 units for Ali and 5 units for Ben.
  2. The difference is 2 units, so 2 units = 24 and 1 unit = 12.
  3. Altogether they have 8 units: 8 × 12 = 96.

Answer: They have 96 stickers altogether.

Every workbook question has a worked solution video that explains the method in the same way.

Learning suite

The Complete Primary 6 Learning Suite

Every Primary 6 topic is supported by six connected parts: a textbook in print or eBook, a workbook, a worked solution video for every workbook question, AI assessment with gap analysis, a Teacher's Guide, and analytics for teachers and parents.

See how the learning suite works

Teacher dashboard showing Primary 6 class mastery by topic and learning objective, with gaps highlighted Class 6A · Fractions and Ratio · Mastery by learning objective LO1LO2LO3LO4LO5LO6 Aisha OK OK Dev. OK Gap Dev. Ben OK Dev. Dev. Gap Gap Dev. Chloe OK OK OK OK Dev. OK Dev Dev. Dev. Gap Dev. Gap Gap Emma OK OK OK Dev. Dev. OK Farid OK Dev. Gap Dev. Gap Dev. Grace OK OK Dev. OK OK OK Recommended practice LO5: Ratio word problems 9 students LO3: Divide by a fraction 6 students LO4: Percentage change 4 students Assign practice
For schools

Built for Teachers and Schools

A classroom-ready Primary 6 programme with a teacher interface and school-level analytics, by class, topic and learning objective.

Teacher interface

Assign chapters, review auto-marked work, see who needs support.

School leader interface

Compare classes and cohorts, track syllabus coverage.

Flexible delivery, in English

Print, eBook or blended, all in English, for English-medium and international schools.

PSLE readiness

Preparing for the PSLE with Confidence

The PSLE Mathematics exam tests Primary 5 and Primary 6 content together, so Grade 6 revision must mix topics. From 2026 it has two papers of 50 marks each: Paper 1 without a calculator and Paper 2 with one.

  1. Diagnose

    A starting assessment finds gaps across Primary 5 and 6 topics.

  2. Practise

    Adaptive sets target the weakest learning objectives first.

  3. Review

    Solution videos correct errors on the same day.

  4. Mock

    Timed, mixed-topic papers build exam stamina and clear working.

For schools outside Singapore, the same cycle gives a PSLE-standard benchmark without sitting the PSLE.

Singapore ranked 2nd in the world for maths in PISA 2025 and 1st for Primary 4 (Grade 4) maths in TIMSS 2023. See the full PISA and TIMSS results.

Get started

Choose the Right Start for Your Child or School

For parents

Help your child learn Grade 6 maths with confidence

  • A free sample chapter from the Grade 6 textbook and workbook
  • Worked video solutions, so homework never stalls
  • Clear progress reports that show what to practise next

No payment details needed.

For schools

Bring the complete Grade 6 Singapore Maths programme to your school

  • A demo account with the teacher and school leader views
  • A walkthrough video you can share with your maths team
  • Print, eBook or blended options for every grade

For principals, heads of maths and academic directors.

FAQ

Primary 6 Singapore Maths (Grade 6): Frequently Asked Questions

Is Primary 6 Singapore Maths the same as Grade 6?

Yes. Schools outside Singapore often say Grade 6, while Singapore schools say Primary 6. Explico's Singapore Maths for Primary 6 follows the MOE Singapore Primary 6 Mathematics syllabus for children aged 11 to 12, so the content, sequence and teaching approach are the same.

What topics are covered in Primary 6 Singapore Maths (Grade 6)?

Primary 6 covers fraction division, ratio, percentage increase and decrease, algebra with simple linear equations, circles, volume of cubes and cuboids, angles in composite figures, and average. Ratio and Average moved into Primary 6 under the updated syllabus, and Speed is no longer taught at primary level.

How does Primary 6 Singapore Maths prepare students for the PSLE?

The PSLE mixes Primary 5 and 6 topics in multi-step problems. Our AI assessment finds gaps across both years, adaptive practice targets them, solution videos correct errors quickly, and timed mixed-topic papers build exam stamina and clear working.

Can my child use Primary 6 Singapore Maths at home, in print or online?

Yes. The Primary 6 textbook and workbook come in print or as an eBook. Every workbook question has a worked solution video, so your child can check a method without waiting for a teacher. The AI assessment shows which topics need more practice, and you receive clear progress reports.

For Parents For Schools
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