Choose a guide below, or return to the Mathematics Hub for the wider journey.
Primary 6 Mathematics Learning Hub
Primary 6 Mathematics is an integration year. Fractions, ratio, percentage, algebra, geometry, measurement, data and multi-step problem solving must work together under PSLE conditions. This hub organises the learning by capability so that students can identify the first weak link, choose a representation, compute accurately, check their work and transfer the method to unfamiliar questions.
READ → REPRESENT → RELATE → CHOOSE → COMPUTE → CHECK → EXPLAIN → TRANSFER.
Core relationships
- Fractions, Division and Part-Whole Reasoning
- Ratio, Percentage and Multiplicative Change
- Algebra, Unknowns, Expressions and Simple Equations
- Circles, Composite Figures and Volume
Geometry and exam control
- Primary 6 Mathematics Learning Guide | Angles in Geometric Figures and Shape Properties
- Primary 6 Mathematics Learning Guide | Average and Data Relationships
- Primary 6 Mathematics Learning Guide | Multi-Step Word Problems and Model Selection
- Primary 6 Mathematics Learning Guide | PSLE Error Analysis, Pacing and Exam Control
Measurement, data and transition
- Primary 6 Mathematics Learning Guide | Measurement Units, Conversion and Dimensional Reasoning
- Primary 6 Mathematics Learning Guide | Data Displays, Graphs and Statistical Interpretation
- Primary 6 Mathematics Learning Guide | Number Sense, Approximation, Estimation and Reasonableness
- Primary 6 Mathematics Learning Guide | Primary 6 to Secondary 1 Mathematics Handover
Rate, money and representations
- Primary 6 Mathematics Learning Guide | Rate, Unit Rate and Quantity per Unit
- Primary 6 Mathematics Learning Guide | Money Applications: Discount, GST and Interest
- Primary 6 Mathematics Learning Guide | Fractions, Decimals, Percentages and Ratio as Equivalent Representations
- Primary 6 Mathematics Learning Guide | Mathematical Communication, Working and Justification
Patterns and problem solving
- Primary 6 Mathematics Learning Guide | Working Backwards and Before–After Reasoning
- Primary 6 Mathematics Learning Guide | Systematic Listing and Case Organisation
- Primary 6 Mathematics Learning Guide | Guess, Check, Improve and Assumption Testing
- Primary 6 Mathematics Learning Guide | Patterns, Rules, Generalisation and Invariant Thinking
Diagrams and reasoning
- Primary 6 Mathematics Learning Guide | Simplifying Problems and Equivalent Structure
- Primary 6 Mathematics Learning Guide | Drawing Diagrams and Representation Switching
- Primary 6 Mathematics Learning Guide | Deductive Reasoning and Logical Chains
- Primary 6 Mathematics Learning Guide | Metacognition, Self-Monitoring and Strategy Control
Models and connected methods
- Primary 6 Mathematics Learning Guide | Mathematical Modelling: From Real Situation to Model and Back
- Primary 6 Mathematics Learning Guide | Multiple Methods, Verification and Comparing Solution Routes
- Primary 6 Mathematics Learning Guide | Connecting Concepts Across Topics
- Primary 6 Mathematics Learning Guide | Applications, Assumptions and Model Limits
Constraints and unfamiliar problems
- Primary 6 Mathematics Learning Guide | Question Decomposition and Subgoals
- Primary 6 Mathematics Learning Guide | Constraints, Bounds and Feasibility
- Primary 6 Mathematics Learning Guide | Reversibility and Inverse Thinking
- Primary 6 Mathematics Learning Guide | Transfer to Novel and Unfamiliar Problems
Information and complete solutions
- Primary 6 Mathematics Learning Guide | Selecting Relevant Information and Filtering Distractors
- Primary 6 Mathematics Learning Guide | Information Sufficiency and Missing Data
- Primary 6 Mathematics Learning Guide | Case Splitting and Decision Trees
- Primary 6 Mathematics Learning Guide | Synthesis Problems and End-to-End Solution Architecture
Batch 10 Learning Guides
- Primary 6 Mathematics Learning Guide | Folded Shapes, Creases and Hidden-Angle Visualisation
- Primary 6 Mathematics Learning Guide | Equal Fractions and Common-Numerator Reasoning
- Primary 6 Mathematics Learning Guide | Excess-and-Shortage Problems and Fixed-Total Grouping
- Primary 6 Mathematics Learning Guide | Age Problems and Constant-Difference Reasoning Across Time
Batch 11 Learning Guides
- Primary 6 Mathematics Learning Guide | Remainder Branching and Fractions of a Changing Whole
- Primary 6 Mathematics Learning Guide | Assumption Method, Replacement Difference and All-One-Type Reasoning
- Primary 6 Mathematics Learning Guide | Constant Part Problems and Changing Ratios
- Primary 6 Mathematics Learning Guide | Everything Changed Problems and Units-and-Parts Reasoning
Batch 12 Learning Guides
- Primary 6 Mathematics Learning Guide | Constant Total Problems and Internal Transfer
- Primary 6 Mathematics Learning Guide | Gap-and-Difference Problems and Comparison Change
- Primary 6 Mathematics Learning Guide | Grouping, Number × Value and Equal-Group Reconstruction
- Primary 6 Mathematics Learning Guide | Double-IF Problems and Two-Scenario Reasoning
Batch 13 Learning Guides
- Primary 6 Mathematics Learning Guide | Repeated Identity, Chained Ratios and Shared Middle Quantities
- Primary 6 Mathematics Learning Guide | Equal Stage Problems and End-State Reconstruction
- Primary 6 Mathematics Learning Guide | Stack Model, Split Model and Two-Dimensional Visual Reasoning
- Primary 6 Mathematics Learning Guide | Three-Quantity Comparison Models and Multi-Bar Alignment
Batch 14 Learning Guides
- Primary 6 Mathematics Learning Guide | Unit Overlay Strategy: Superimposing Equivalent Units and Shared Sections
- Primary 6 Mathematics Learning Guide | Elimination Method: Cancelling Equal Quantities Across Paired Conditions
- Primary 6 Mathematics Learning Guide | Container and Content Problems: Fixed Base Area, Water-Level Change and Volume Conservation
- Primary 6 Mathematics Learning Guide | Conditional Ratio Problems: If-Then Changes, Ratio Constraints and Scenario Reconstruction
2026 Curriculum Frame
Singapore’s current Primary Mathematics syllabus organises learning across Number and Algebra, Measurement and Geometry, and Statistics, with mathematical problem solving at the centre. The 2021 syllabus applies to Primary 6 from 2026 onwards.
Official reference: MOE Mathematics Syllabus — Primary One to Six.
First-Weak-Link Diagnostic
- Can the learner explain what is known and what must be found?
- Can the learner represent the relationship with a model, diagram, table or equation?
- Can the learner identify the part, whole, ratio, rate, dimension or unknown?
- Can the learner explain why the chosen method fits?
- Can the learner compute accurately?
- Can the learner check size, units and reasonableness?
- Can the learner explain the result?
- Can the learner transfer the method to a new surface?
Primary 6 Capability Spine
Strong Primary 6 Mathematics depends on quantity sense, part-whole reasoning, proportional reasoning, representation, algebraic thinking, spatial reasoning, data reasoning and execution control. A mark is an output; diagnosis requires finding which of these capabilities failed first.
Error Analysis
Wrong answers should be classified before more practice is assigned. Common classes include reading error, representation error, relationship error, method-selection error, calculation error, unit error, transcription error and checking failure. Repair the earliest cause, then test it again with a changed context.
PSLE Readiness
Topic completion is only one layer. Examination readiness also requires retrieval, pacing, method selection, audit trails, unit control and recovery. Timed work should be introduced after the method is secure enough to survive variation.
Useful Routes
- Primary Mathematics Sengkang | P1–P6 Capability Map
- Primary 6 Mathematics Tuition Sengkang
- Complete Mathematics Index
- Primary 6 Tuition Sengkang
Evidence Boundary
The diagnostic sequence and teaching routines here are eduKate scaffolds, not official MOE assessment rubrics. The MOE syllabus and school instructions remain the formal references.
The Quiet Return
The goal is not to memorise every possible PSLE question. It is to build a mathematical system strong enough to meet a new question, make its structure visible and still know what to do next.
