PSLE Mathematics Syllabus & Study Guide
Heuristics, model drawing and Paper 2 practice for P5 and P6
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How PSLE Achievement Levels work
Each subject gets an AL from 1 (best) to 8. The four ALs add up to the PSLE score, from 4 to 32.
- AL190 and above
- AL285 to 89
- AL380 to 84
- AL475 to 79
- AL565 to 74
- AL645 to 64
- AL720 to 44
- AL8Below 20
Source: MOE PSLE scoring.
PSLE Mathematics in brief
PSLE Mathematics is one of the four subjects whose AL scores add up to the PSLE score used for secondary school placement. From 2026, Paper 1 (no calculator, 1 hour 10 minutes) and Paper 2 (calculator allowed, 1 hour 20 minutes) are worth 50 marks each, for 100 marks in total, sat on the same day.
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The AL bands are fixed raw-mark bands: AL1 is 90 and above, AL2 is 85 to 89, AL3 is 80 to 84, AL4 is 75 to 79, AL5 is 65 to 74, AL6 is 45 to 64, AL7 is 20 to 44 and AL8 is below 20. AL3 and AL4 are only five marks apart, and that gap is almost entirely about Paper 2 long questions, where multi-step word problems compound errors quickly. Our PSLE Math tutors focus precisely on this gap.
Lessons coach the heuristics MOE rewards (model drawing, units and parts, working backwards, supposition, before-and-after), train students to identify the correct heuristic in the first 30 seconds of reading a question, and run timed Paper 2 simulations against the published past papers from 2013 onwards.
Many Primary 6 parents start tuition only in January of P6, which leaves less than a year before PSLE in October. Starting by mid-P5 (June or July) gives 12 to 14 months for foundation building, heuristic mastery, and progressive past-paper exposure. Students starting in P6 January have less time, so lessons prioritise the widest foundation gaps before full past-paper work. Our tutors range from undergraduates to experienced full-time tutors, and each profile on your shortlist states the tutor's background and primary-tutoring experience. Lessons are structured around your child's school topical assessment schedule (we will ask which primary school) so that tuition reinforces school content rather than running in parallel.
On the topical map, PSLE Math weights percentages, ratio, fractions and rate unusually heavily because they appear together in Paper 2 long questions disguised as multi-step word problems. Geometry and area sit second on the weighting list, with the trickier questions involving overlapping shapes, units conversion and the area-difference technique that catches even strong students.
Our diagnostic tests in the first two lessons grade your child against the most recent five PSLE papers, surface the precise topic loss pattern (heuristic recognition versus computation versus answer presentation), and shape the rest of the term around closing those gaps. Parents can ask the tutor for an update at any time. For students at schools with demanding internal papers, the tutor also sets targets against the school's own tests.
The PSLE outcome is built on a P3 to P6 syllabus progression, and the P3 and P4 years matter more than most parents expect. The Primary 3 maths syllabus introduces multiplication and division to 10,000, the first fraction concepts (equivalent fractions, comparing), money, time, length, mass and volume word problems, bar graphs, area and perimeter, and angles. The Primary 4 syllabus extends to factors and multiples, mixed numbers and improper fractions, decimals to three places, symmetry, tables and line graphs.
The Primary 5 syllabus then makes the biggest jump: fractions and division, percentage, rate, area of triangles, volume of cubes and cuboids, and the harder geometry (angle properties of triangles, parallelograms, rhombuses and trapeziums). P6 completes the map with ratio, algebra, circles, special quadrilaterals and average before the year turns to PSLE revision. A student who is shaky on P3 to P4 fractions will hit a wall at P5 percentage and P6 ratio, so a good tutor checks P3 to P4 fractions and bar models first before moving ahead.
| Point | Paper 1 | Paper 2 |
|---|---|---|
| Calculator | Not allowed | Allowed |
| Time | 1 hour 10 minutes | 1 hour 20 minutes |
| Marks | 50 (Booklet A multiple choice 26, Booklet B short answer 24) | 50 |
| When | Same day as Paper 2 | Same day as Paper 1 |
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PSLE Mathematics tuition rates
Real ranges by level and tutor tier. We re-match free if the fit is wrong.
| Level | Part-time / undergrad | Full-time | Ex-MOE or NIE-trained |
|---|---|---|---|
| Lower Primary (P1-P4) | S$30-40/hr | S$40-55/hr | S$50-65/hr |
| Upper Primary / PSLE (P5-P6) | S$35-50/hr | S$45-60/hr | S$55-75/hr |
Final rate is set on tutor match and depends on tutor tier, level and lesson frequency. See full pricing page.
Full rate guide · PSLE Mathematics tuition: rates and tutors
Official syllabus: MOE, PSLE Achievement Level system · SEAB, PSLE Mathematics syllabus
Common PSLE Math Struggles We Fix
PSLE Math at the AL3 and above bands separates students on heuristics and exam technique, not raw ability. The patterns we see most often:
Strong on Paper 1 (short questions) but loses marks on Paper 2 long questions because of multi-step error compounding.
Knows model drawing in theory but cannot apply it under exam pressure, especially on before-and-after, equal-value or remainder concept questions.
Spends too long on the first half of Paper 2 and runs out of time for the high-mark final two questions.
Computational errors with fractions, decimals and percentages on Paper 1 that cost easy marks.
2 more
Confusion between similar question types (such as ratio versus units-and-parts, or working-backwards versus assumption).
Anxiety on challenging or unfamiliar question types, leading to skipped questions on Paper 2.
Our PSLE Math programme drills these specific weaknesses with diagnosis-first lesson planning. The tutor identifies your child's exact pattern in the first two lessons and structures the rest around closing those gaps.
PSLE Math Programme Structure
A 12-month arc from mid-P5 through PSLE in October of P6, adapted to the student's starting band:
P3 to P4 Foundations (lower primary)
The syllabus stages that P5 and P6 percentage, ratio and fractions questions assume. Coached for lower-primary students and diagnosed for every P5 starter.
Topics covered
- P3: multiplication and division to 10,000, equivalent fractions
- P3: money, time, length, mass and volume word problems
- P3: bar graphs, area and perimeter, angles
- P4: factors and multiples, mixed numbers, improper fractions
- P4: decimals to three places, symmetry, tables and line graphs
- Bar-model fluency drills that carry into P5 heuristics
Heuristic Mastery
The MOE-recognised problem-solving techniques that Paper 2 long questions are built around.
Topics covered
- Model drawing (whole and parts, comparison, before-and-after)
- Units and parts (ratio, percentage, fractions in disguise)
- Working backwards
- Supposition (assumption method)
- Pattern recognition
- Make a list and elimination
Topic Coverage by MOE Syllabus
PSLE tests the whole P1 to P6 syllabus. Lessons cover it all, weighted toward the high-frequency topics.
Topics covered
- Whole numbers, fractions, decimals, percentages
- Ratio and rate
- Algebra (P6 introduction)
- Geometry, area, perimeter and volume
- Angles, parallel lines, triangles
- Data analysis, graphs, average
- Pie charts
Paper 1 and Paper 2 Strategy
Exam technique for timing, working layout and method marks on both papers.
Topics covered
- Paper 1 timing (60 seconds per question average)
- Paper 2 question dissection (read twice, mark key data, plan before solving)
- Multi-step working layout for Paper 2 method marks
- Final-15-minutes review strategy
- Common mark-loss patterns and avoidance
Past Paper Drilling
Real PSLE papers from 2013 onwards and school prelim papers.
Topics covered
- SEAB-released PSLE Math papers (10+ years)
- School prelim papers
- Topical compilations for targeted practice
- Timed full-paper simulations from June of P6 onwards
- Mark-scheme walkthroughs and self-grading discipline
Why parents pick us
PSLE-Specialist Tutors
We shortlist tutors whose profiles show PSLE Math teaching experience. Lessons work to the fixed AL mark bands, the heuristic frequencies in recent papers, and the marking-scheme expectations for working shown.
Diagnosis-First Lesson Planning
The first two lessons are diagnostic. The tutor identifies the specific gap pattern (Paper 1 computation, Paper 2 heuristic application, exam timing, anxiety) before fixing the lesson plan.
School Topical-CA Alignment
We ask which primary school your child attends and align the lesson sequence to the school topical CA cycle. Tuition reinforces school content rather than running in parallel.
Meet one of our PSLE Mathematics tutors

Theon Teo, Founder and Mathematics Tutor
Credentials: DigiPen Institute of Technology Singapore, Game Development and Computer Science. 3 years teaching Primary and Secondary Mathematics.
Specialises in: PSLE Mathematics, O-Level Elementary Mathematics 4052 (SEC G3 K310), O-Level Additional Mathematics 4049 (SEC G3 K341)
Track record: Coaches Primary and Secondary Mathematics and Additional Mathematics against the current SEAB syllabus codes, including the SEC G3 codes that replace the O-Level from 2027.
A note from Theon: "I founded The Singapore Syllabus to make 1-to-1 home tuition that is rigorous, MOE-aligned and accountable. We match each family to tutors suited to their child's level and goals, coach to the latest SEAB syllabus, and re-match free if the fit is wrong."
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PSLE Mathematics: frequently asked questions
How is PSLE Math scored?
PSLE Math is graded on the AL system: AL1 is 90 marks and above, down to AL8. The paper is 100 marks across a no-calculator Paper 1 and a calculator-permitted Paper 2.
Which PSLE Math topics are hardest?
Fractions of a remainder, ratio with a changing quantity, and multi-step composite area and perimeter problems concentrate the hardest marks, almost all of them in the Paper 2 problem sums.
What is the difference between Foundation and Standard Math?
Foundation Mathematics is a less demanding option graded AL A, B or C, which count as AL6, AL7 and AL8 in the PSLE Score. Standard Mathematics is the mainstream paper and the one most students sit.
Start PSLE Math Tuition by Mid-P5
Starting by mid-P5 gives 12 to 14 months for foundations, heuristics and past papers.