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Primary 3–6 (PSLE 0008) · Maths · Beta

PSLE Mathematics support that helps your child work it out

MOE/SEAB Primary Mathematics (PSLE 0008): whole numbers, fractions, decimals, ratio, percentage, rate and speed, bar model drawing and heuristics, area and perimeter of composite figures, volume, angles and data analysis.

8 tracked MOE/SEAB skills, from whole numbers, order of operations, factors and multiples to angles in geometric figures, symmetry and data tables/graphs. The tutor asks focused questions, your child tests the next step, and the understanding stays theirs.

Beta subject: PSLE Mathematics uses a domain-specific Socratic rubric and is currently marked Beta while we benchmark its scaffolding across full Primary 3–6 (PSLE 0008) papers.

8 tracked syllabus skills5-level Socratic hint ladderMOE/SEAB Syllabus MAT
Syllabus Skills

What a psle mathematics tutor covers

Each skill is tracked separately so strong chapters never mask a shaky prerequisite.

  1. 1

    Whole numbers, order of operations, factors and multiples

    Foundation skill

    Apply place value up to 10 million, four operations with brackets, common factors and common multiples in word problems.

  2. 2

    Fractions and decimals (four operations and remainder concepts)

    Builds on Whole numbers, order of operations, factors and multiples

    Add, subtract, multiply and divide fractions and decimals, and solve multi-step “fraction of a remainder” problems.

  3. 3

    Bar model drawing and non-routine problem heuristics

    Builds on Fractions and decimals (four operations and remainder concepts)

    Represent part-whole, comparison, before-and-after, constant total, constant difference and working-backwards models.

  4. 4

    Ratio, equivalent ratios and changing ratios

    Builds on Bar model drawing and non-routine problem heuristics

    Connect ratios to fractions, unify repeated identities and solve before-and-after ratio transfers.

  5. 5

    Percentage, discount, GST and percentage change

    Builds on Ratio, equivalent ratios and changing ratios

    Find the whole from a part, calculate percentage increase/decrease, and solve discount and GST word problems.

  6. Relate distance, time and speed, convert units, and analyse two-object meeting and catch-up journeys.

  7. 7

    Area and perimeter of composite figures, circles, nets and volume

    Foundation skill

    Find perimeter and area of composite triangles, rectangles, semicircles and quarter-circles, and volume of cuboids and liquid flow.

  8. 8

    Angles in geometric figures, symmetry and data tables/graphs

    Foundation skill

    Use angle properties of triangles, parallelograms, rhombuses and trapeziums, and interpret line graphs, pie charts and averages.

Illustrative Dialogue

How a psle mathematics session unfolds

The student starts by asking for the answer—and ends up solving the key step themselves.

TranscriptIllustrative PSLE Mathematics dialogue
  1. Student

    Ali had 3 times as many marbles as Bala. After Ali gave 24 marbles to Bala, they had an equal number. How many did Ali have at first?

  2. Tutor

    Let’s draw a before-and-after bar model rather than guessing numbers. Draw the “before” bars for Ali and Bala in equal units, and tell me the total number of units.

  3. Student

    Ali has 3 units and Bala has 1 unit, so 4 units altogether.

  4. Tutor

    Good! Nothing leaves or enters the game when Ali gives marbles to Bala, so those 4 units stay constant. When they end up equal at the end, how many units must each boy have?

  5. Student

    2 units each! That means Ali gave away 1 unit, so 1 unit = 24 marbles, and Ali had 3 × 24 = 72 marbles at first.

  6. Tutor

    You solved it cleanly with one bar model. Now check it: if Ali starts with 72 and Bala starts with 24, what happens after Ali gives 24 to Bala?

About this illustrative example

This walkthrough is an illustrative script written to show how the five-level hint progression works in PSLE Mathematics, not a transcript from a real student account.

Hands-on practice

Is your child stuck on a psle mathematics question?

Bring a school worksheet problem from this week, or try our interactive whiteboard first with zero login required.

Progress & Family View

How skill progress is recorded

Sessions build a clear skill record for the student and a calm, read-only summary for linked parents.

  • One bar per skill

    Mastery is tracked skill by skill, not as a single subject percentage, so a strong topic cannot hide a weak one.

  • The hint level counts

    Getting something right with one small hint moves the bar more than getting it right after five. The number we show you reflects how much help you needed.

  • Built from an event log

    Every attempt, hint and explanation is recorded as an event, and the bars are calculated from that history. It can be replayed, which means the numbers are reproducible rather than asserted.

  • A parent sees the same numbers

    A linked parent gets the same skill bars, the last judgement and its line of evidence behind each level, the recent session summaries and the flag counts — read-only, and nothing that is not also on your own pages.

8 skill bars, tracked independently

In psle mathematics, that means 8 separate skill bars — whole numbers, order of operations, factors and multiples, fractions and decimals (four operations and remainder concepts), bar model drawing and non-routine problem heuristics, and the rest — each updating based on verified problem steps. Linked parents see the same topic bars and session takeaways in read-only mode.

Questions & Answers

PSLE Mathematics FAQs

Common questions from parents about this subject on tutor.ai.

Does the tutor use Primary bar models or Secondary algebra?

It uses Singapore Primary bar models (part-whole, comparison, before-and-after, constant total and constant difference) and unitary heuristics, matching how PSLE Mathematics (0008) is taught and marked in Primary 3–6.

Can my child draw their bar model on the whiteboard?

Yes — drawing equal units, brackets and transfers on the shared whiteboard is the fastest way for the tutor to check where a multi-step word problem went off track.

Which PSLE Mathematics topics are covered?

Aligned to the MOE Primary 3–6 PSLE Mathematics (0008) syllabus. Eight skills, in syllabus order: Whole numbers, order of operations, factors and multiples; Fractions and decimals (four operations and remainder concepts); Bar model drawing and non-routine problem heuristics; Ratio, equivalent ratios and changing ratios; Percentage, discount, GST and percentage change; Rate, distance, time and average speed; Area and perimeter of composite figures, circles, nets and volume; and Angles in geometric figures, symmetry and data tables/graphs.

Will it give the final answer to a Paper 2 word problem?

Never. It asks which quantity stays unchanged or how many equal units represent the known value, guiding the student to calculate each step themselves.

Related Subjects

Other primary subjects your child can work on, each with its own skill list.

Bring your child's psle mathematics question

Free during testing, with no credit card required.