SMART Math 6


Primary 6: Problem Solving Heuristic


  1. Unit Transfer Method
  2. Model Approach to Problem-Solving
  3. Conventional Models
  4. Stack Model
  5. Split Model
  6. Heuristics Approach to Problem-Solving
  7. Higher-Order Thinking Skills

Our syllabus have been carefully planned to correlate with the basic textbooks, incorporate IQ questions and challenging problems, step by step explanations enable pupils to improve their competency in basic Mathematics skills.

Topics Covered (MOE Syllabus)see-content


  1. Expose students to various techniques and encourage them to adopt the right approach in understanding and solving problems.
  2. Stimulate and develop students’ creative thinking skill and problem solving ability to solve challenging problems effectively.
  3. Cultivate students’ interest in Mathematics through challenges to achieve a sense of accomplishment.
  4. Train students to use check back methods to minimize the chance of making mistakes.
  5. Impart students with essential skills in presentation of solutions to problem sums.

This SMART PSLE programme covers all four modules in 12 weekly lessons and 5 days September Holiday Workshop. With the PSLE looming over us, this workshop specifically focuses on the essential heuristics techniques for immediate application in the PSLE Math paper.

(1) Unit Transfer Method 

Simple, logical, yet powerful!
Revolutionary Unit Transfer Method empowers children to solve 90% of the challenging problems in PSLE Math. It encompasses the five main topics of Whole Numbers, Fractions, Decimals, Percentages and Ratios. It encompasses:

  • Before & After Concept

  1. Single Unchanged Quantities
  2. Difference Unchanged Quantities
  3. Total Unchanged Quantities
  4. All Changing Quantities
  5. Case 1-Case 2 scenarios
  • Excess & Shortage Concept
  • Repeated Concept
  • Equal Concept
  • Ratio & Proportion Concept
  • 2-variables Concept
(2) Model Approach to Problem Solving – Helps children see Math!

Model Approach to Problem-Solving is a powerful strategy that enables children to visualize, draw models and, from there, solve Math problems. Different aspects of MAPS are taught at different levels. Model Approach to Problem-Solving at higher-level delves deeper into application of model approach in solving challenging Math problems that involve higher-order thinking skills. It encompasses:

(3) Conventional Models

  • Part / Whole Model
  • Comparison Model
  • Age-difference scenarios


(4) Stack Model

  • Remainder scenarios
  1. Portion removed, portion remaining
  2. Quantity decreased / increased by a whole number
  3. Equivalent quantity / quantities replaced
  4. Increase / Decrease in more-than / less-than scenarios
  5. Fixed-total scenarios
 (5) Split Model

  • Complete the Whole Strategy
  • Convert Units to Parts Strategy
  1. Whole-number portion removed, portion remaining
  2. Units to Parts Concept in different forms
  3. Before & After Concept in more-than / less-than scenarios
(6) Heuristics Approach to Problem-Solving 

New-technique Creation, Problem-solving Redefinition
Heuristics Approach to Problem-Solving trains students to use various common heuristics effortlessly, to solve challenging Math problems
efficiently. It, thus, instill students confidence at PSLE Math. It encompasses:

  • Systematic Listing
  • Guess & Check
  • Supposition
  • Working Backwards
  • Looking for Pattern
  • Unit Transfer Method
  1. Rate
  2. Speed
  • One object moving
  • Two objects moving in same direction
  • Two objects moving in different directions
(7) Higher-Order Thinking Skills 

Knowledge, Comprehension, Analysis, Synthesis & Application
Higher-Order Thinking Skills hones these conceptual skills, and the aptitude to apply various Maths syllabus-based heuristics. With exposure to actual exam questions from top schools, students will be ready and confident for the exams. It encompasses:

  • Whole Number
  • Fraction
  • Decimal
  • Percentage
  • Ratio
  • Algebra
  • Mensuration: Rectangles, squares, triangles & circles
  • Volume: Solids & liquids
  • Geometry


AThe Model Drawing essentially becomes a good entry level tool to help my son to understand and break the questions into component parts making solving and learning math easy. Smart ExCEL has make it simple and fun for him!

– Jason’s Mum, P4 from Townsville Primary


SMART Science