PSLE Maths Mastery
Problem sums are a teachable skill. We teach it, 1-on-1, without the centre queue.
Syllabus updated August 2026
Flexible course duration
Duration depends on the student's background and pace. Beginners (kids / teens): typically 6 to 9 months. Adults with prior knowledge: often shorter, with an accelerated path.
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Program Overview
A 12-month live program aimed squarely at PSLE mathematics, taught on the MOE syllabus at Singapore-friendly evening hours. The PSLE separates thinkers from drillers: multi-step problem sums, a no-calculator Paper 1, and AL scoring where consistency is everything. This course teaches the model method as a thinking tool rather than a template, names and trains the heuristics explicitly, builds calculator-free fluency in every class, and closes with paper craft, time discipline, working presentation and the mark-banking habits that protect AL bands.
What Makes This Program Different
- The model method taught as reasoning, part-whole, comparison, before-after and re-cutting, not as a ritual the school demands
- Problem sums taught by structure family, so new problems look like old friends in disguise
- MOE heuristics named and trained explicitly: work backwards, guess-and-check with discipline, restate, spot patterns
- Paper 1 fluency drills open every class, because AL bands are lost one careless mark at a time
- 1-on-1 attention no centre batch of fifteen can give, at Singapore evening hours
- Understanding-first: a child who can draw what the numbers are doing owns the problem
- One dedicated mentor tracking exactly where your child's reasoning thins
- Honest AL guidance from real timed-paper evidence, never invented promises
Your Learning Journey
Career Progression
Detailed Course Curriculum
Explore the complete week-by-week breakdown of what you'll learn in this comprehensive program.
Full diagnostic: model-method depth, Paper 1 fluency, and exactly where problem sums break, with an honest AL baseline
Topics Covered
- Model-method depth check across part-whole and comparison bars
- Paper 1 non-calculator fluency screen
- Locating exactly where problem sums break down
- Honest Achievement Level (AL) baseline from timed questions
- Whole-number, fraction and decimal accuracy audit
- Reading-the-question and working-presentation habits
Practice & Assignments
A short mixed diagnostic of Paper 1 items and two problem sums, marked to expose the real starting stage.
Assessment
Baseline AL estimate plus a written map of which problem-sum families and Paper 1 skills need the most work.
Whole-number operations at Paper 1 tempo; estimation as a checking habit
Topics Covered
- Addition, subtraction, multiplication and division fluency
- Long multiplication and long division without a calculator
- Order of operations in multi-step calculations
- Estimation and rounding as a checking habit
- Mental strategies for speed on Paper 1 items
- Place value and number sense to catch slips
Practice & Assignments
A timed whole-number drill set plus five estimation checks on given answers.
Fractions as numbers: equivalence, comparison and operations from pictures first
Topics Covered
- Fractions on a number line as genuine quantities
- Equivalent fractions and simplifying
- Comparing and ordering fractions
- Adding and subtracting unlike fractions
- Multiplying and dividing fractions with meaning
- Bar and area pictures behind every rule
Practice & Assignments
A fractions set moving from picture-drawn answers to fluent written computation.
Decimals and the fraction-decimal-percentage bridge, to fluency
Topics Covered
- Decimal place value and the four operations
- Converting fractions to decimals and back
- Linking decimals, fractions and percentages
- Rounding decimals and estimating results
- Money and measurement contexts
- Fluency drills across all three forms
Practice & Assignments
Conversion drills and mixed decimal calculations at Paper 1 pace.
Part-whole models: the child draws, the mentor questions, never the reverse
Topics Covered
- Part-whole bar model as a picture of the numbers
- Drawing the unknown before computing
- Total, part and missing-part relationships
- Translating word phrases into bar segments
- The child draws first, the mentor questions
- Checking the model against the story
Practice & Assignments
Six part-whole problem sums where the bar is drawn before any calculation.
Comparison models: more-than, less-than and times-as-many, made visible
Topics Covered
- Comparison bars for more-than and less-than
- Times-as-many and multiplicative comparison
- Aligning bars to reveal the difference
- Two-quantity and three-quantity comparisons
- Choosing comparison over part-whole
- Defending the chosen model aloud
Practice & Assignments
A comparison-model set mixing additive and multiplicative relationships.
Unit thinking: when to cut a bar into parts, and the re-cutting flexibility templates cannot supply
Topics Covered
- Treating one unit as the engine of a model
- Deciding how many parts to cut a bar into
- Re-cutting a bar when the story changes
- Finding unit value then scaling up
- Flexibility that templates cannot supply
- Common-part reasoning across quantities
Practice & Assignments
Problems requiring the student to choose the cut, then re-cut when stuck.
First structure families: sum-and-difference and equal-stage problems, solved by model and defended aloud
Topics Covered
- Sum-and-difference problem family
- Equal-stage and equal-value problems
- Recognising the skeleton under the wording
- Matching model shape to family
- Solving then explaining the reasoning aloud
- Extending a solved problem to a variant
Practice & Assignments
A family-sorted set of sum-and-difference and equal-stage problem sums.
Work backwards: end-state problems unwound step by step
Topics Covered
- Recognising end-state problems
- Reversing each operation in turn
- Undoing add, subtract, multiply and divide
- Model support for backward reasoning
- Checking by working forwards again
- When work-backwards beats other methods
Practice & Assignments
A set of end-state problems solved by unwinding step by step.
Guess-and-check with discipline: the organised table, not wild stabs
Topics Covered
- Setting up an organised guess-and-check table
- Choosing a sensible first guess
- Using each result to steer the next guess
- Column headings that show the reasoning
- Knowing when guess-and-check is efficient
- Presenting the table for method marks
Practice & Assignments
Guess-and-check problems recorded in a clean, columned table.
Restate and simplify: turning wordy problems into drawable ones
Topics Covered
- Stripping a wordy problem to its core
- Restating in the student's own words
- Identifying the quantity actually asked for
- Turning sentences into a drawable model
- Removing distracting detail
- Simplify-then-solve as a habit
Practice & Assignments
Wordy problems rewritten in one line, then drawn and solved.
Phase checkpoint: mixed problem-sum set solved, explained and extended
Topics Covered
- Mixed problem-sum set across all Phase 1 families
- Model choice under mixed conditions
- Explaining each solution aloud
- Extending problems to harder variants
- Heuristics applied without prompting
- Error log started from checkpoint mistakes
Practice & Assignments
A mixed timed problem-sum set covering every Phase 1 family.
Assessment
Phase 1 checkpoint marked for method and reasoning, feeding the first error-log entries.
The remainder concept made visible: branch models and the re-cut into common parts
Topics Covered
- Fraction of a remainder made visible
- Branch models for successive fractions
- Re-cutting into common parts
- Tracking what is left after each stage
- Restoring the whole from a known part
- Two-stage remainder reasoning
Practice & Assignments
Branch-model problems working from a remainder back to the whole.
Classic remainder problems at PSLE standard, including the multi-stage versions that humble adults
Topics Covered
- Classic PSLE remainder problem sums
- Three-stage and multi-stage remainders
- Combining branch models with unit value
- Fraction-of-remainder with a given amount
- Spotting the common-part cut quickly
- Presenting long working clearly
Practice & Assignments
A set of exam-standard remainder problems, including multi-stage versions.
Ratio as units: equivalent ratios, sharing and the unit-value engine
Topics Covered
- Ratio read as units
- Equivalent ratios and simplifying
- Sharing a quantity in a given ratio
- The unit-value engine for ratio problems
- Two-term and three-term ratios
- Ratio bars linked to fractions
Practice & Assignments
Ratio problems solved through the unit-value method with bar support.
Before-and-after problems: changed ratios, constant totals and constant differences, the PSLE's signature family
Topics Covered
- Before-and-after ratio changes
- Constant-total problems
- Constant-difference problems
- Constant one-quantity problems
- Choosing the invariant to anchor units
- The PSLE signature ratio family
Practice & Assignments
Before-and-after ratio sets sorted by which quantity stays constant.
Percentage of, increase and decrease, and GST-and-discount chains
Topics Covered
- Finding a percentage of a quantity
- Percentage increase and decrease
- GST and discount calculations
- Chained percentage changes
- Percentage with bar-model support
- Everyday money contexts
Practice & Assignments
Percentage problems including discount-then-GST chains.
Reverse percentage and percentage-with-model problems at exam standard
Topics Covered
- Reverse percentage: finding the original
- Distinguishing part, whole and percentage
- Percentage combined with bar models
- Multi-step percentage problem sums
- Checking answers against the original
- Exam-standard presentation
Practice & Assignments
Reverse-percentage and percentage-with-model problems at PSLE level.
Speed as a rate with meaning: distance-time reasoning before formulas
Topics Covered
- Speed understood as distance per unit time
- Distance-time reasoning before formulas
- Deriving the speed, distance, time triangle
- Units and conversions in rate problems
- Constant-speed situations
- Reading a journey from a description
Practice & Assignments
Distance-time problems solved by reasoning, then confirmed by formula.
Meeting, catching-up and average-speed problems, drawn on journey diagrams
Topics Covered
- Meeting problems on journey diagrams
- Catching-up and overtaking problems
- Average speed over multiple legs
- Total distance over total time
- Two-object motion drawn to scale
- Common average-speed traps
Practice & Assignments
Meeting, catching-up and average-speed problems on drawn journey diagrams.
Angles, triangles and quadrilaterals with justification language; composite figures
Topics Covered
- Angle facts for lines and triangles
- Angle properties of quadrilaterals
- Justifying each step with a reason
- Composite and overlapping figures
- Unknown angles in multi-shape diagrams
- Clear geometric working
Practice & Assignments
Angle problems requiring a stated reason for every step.
Area and perimeter problem sums including the shaded-region classics; circles at P6 standard
Topics Covered
- Area and perimeter of composite shapes
- Shaded-region classic problems
- Subtracting and combining areas
- Circle area and circumference at P6 standard
- Fractions of a circle and semicircles
- Presenting area working clearly
Practice & Assignments
Shaded-region and circle problem sums at PSLE standard.
Paper 1 craft: mental strategies, no-calculator discipline and the one-mark questions banked fast
Topics Covered
- Mental strategies for Paper 1 speed
- No-calculator discipline under time
- Banking one-mark and two-mark questions fast
- Common Paper 1 question types
- Avoiding careless-mark leaks
- Order of attack on Paper 1
Practice & Assignments
A full Paper 1 section timed, focused on banking the short questions.
Paper 2 craft: presentation of working, method marks, and calculator use that helps instead of wastes time
Topics Covered
- Presentation of working for method marks
- Calculator use that saves time
- Structuring multi-step Paper 2 answers
- Showing enough working to secure marks
- Units and final-answer discipline
- Choosing when the calculator helps
Practice & Assignments
Paper 2 questions written up to full method-mark presentation standard.
Full timed papers at exam pacing; the banking discipline, secure marks first, wrestle the monsters last
Topics Covered
- Full papers at true exam pacing
- Banking secure marks first
- Leaving the hardest problems for last
- Time budgeting across Paper 1 and Paper 2
- Managing pressure and pacing
- Flagging and returning to hard items
Practice & Assignments
A complete timed paper sat under exam conditions with a pacing plan.
Review rituals: why each mark was lost, and the named fix; error-log closure begins
Topics Covered
- Reviewing why each mark was lost
- Naming the specific fix for each error
- Sorting errors by type and frequency
- Beginning error-log closure
- Turning mistakes into targeted practice
- Splitting careless from conceptual errors
Practice & Assignments
Each lost mark logged with a named fix and a follow-up practice item.
Weakest-family rotations by error-log priority; confidence work through problems your child can nearly do, then can
Topics Covered
- Rotations targeting the weakest families
- Priority set by the error log
- Confidence work on nearly-mastered problems
- Revisiting problem-sum families that slip
- Spaced return to fixed errors
- Building momentum into the final weeks
Practice & Assignments
Rotating problem sets aimed at the top error-log priorities each week.
Final paper cycles with documented progression; peak-week plan, light practice, rest, and the exam met as a rehearsed place
Topics Covered
- Final full paper cycles
- Documented AL-trend progression
- Peak-week light-practice plan
- Rest and routine before the exam
- Exam-day rehearsal and timing
- The PSLE met as a rehearsed place
Practice & Assignments
Final timed papers with progression recorded, tapering into light peak-week practice.
Assessment
Final timed PSLE-format papers scored and charted to confirm AL-trend progression before the exam.
Projects You'll Build
Build a professional portfolio with 5+ exam artifacts plus the child's own handbooks real-world projects.
Weekly Learning Structure
Certification & Recognition
Technologies & Skills You'll Master
Comprehensive coverage of the entire modern web development stack.
Support & Resources
Career Outcomes & Opportunities
Transform your career with industry-ready skills and job placement support.
Prerequisites
Who Is This Course For?
Career Paths After Completion
Course Guarantees
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Common Questions About PSLE Maths: Model Method, Problem Sums & MOE Syllabus
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