This book targets pupils who want to achieve more than a Band 2 grading in the examinations. It is well known that 80% of questions in well set examination papers can be solved by students who have diligently followed the textbooks and the routine classroom exercises. The remaining 20% of the questions are more challenging, designed to differentiate among students who are better prepared, beyond the textbooks. It is thus not surprising that each year, after the PSLE Math paper, there is a flurry of letters to the media, that there are these few “unacceptable questions” that even some adults cannot solve.
This book is organized in accordance to the Singapore MOE Primary 3 syllabus on a topic by topic basis. The presentation is designed with a dual objective.

1. To entrench the pupil in the rigors of methods taught in the textbook.
2. To enhance the textbook with the presentation of advanced Math Olympiad styled methods in the related chapters to solve the more difficult questions found in examination papers.

For the mainstream styled questions, the methods to solve the questions are not presented as they are already covered in the textbooks. You will instead find typical questions in each of the chapters for the pupil to polish his/her skill.
In each of the topics in the syllabus, we identify the types of enhanced questions that had appeared recently in examination papers. Most of the enhanced questions are found in only a few of the topics. For these questions, we present the methods to solve them. This is followed by practice questions to help the students hone the newly learned skills.

To ensure pupils fully benefit from the book, we have bundled with the book a FREE CDROM, in which our teacher provides detailed explanation of each new method, as well as solutions to all the questions in the book using our state-of-the-art Outreach Lesson virtual classroom. These lessons, up to 15 hours, ensure pupils and (often) parents understand completely the reasons of each solution to the questions.

Primary 3 Mathematics: Topical Exercises & Olympiad Methods Contents 1 Whole Numbers - Numbers up to 10 000 Enrichment 1: Looking for a Pattern Enrichment 2: Applying Logic 2 Whole Numbers - Addition and Subtraction Enrichment 3: Tricks in Addition and Subtraction Enrichment 4: The Chicken and Rabbit Problem Enrichment 5: The Age Problem Enrichment 6: The Page Number Problem 3 Whole Numbers - Multiplication and Division Enrichment 7: Tricks in Multiplication and Division Enrichment 8: Interesting Remainder Problems Enrichment 9: The Story of Gauss Enrichment 10: Working Backwards Enrichment 11: The Excess-and-Shortage Problem 4 Fractions - Equivalent Fractions 5 Fractions - Addition and Subtraction 6 Measurement - Length, Mass and Volume 7 Measurement - Time Enrichment 12: Speed problems 8 Measurement – Money 9 Measurement - Area and Perimeter Enrichment 13: Finding Perimeter 10 Geometry 11 Data Analysis - Bar graphs

Primary 4 Mathematics: Topical Exercises & Olympiad Methods Contents 1 Whole Numbers – Numbers up to 100 000 Enrichment 1: Looking for a Pattern Enrichment 2: Prime Numbers Enrichment 3: Sequence with a common difference 2 Whole Numbers – Four operations   Enrichment 4: Four operations Enrichment 5: Working Backwards Enrichment 6: The Remainder Problems Enrichment 7: Use Model Enrichment 8: Make a list Enrichment 9: Tree Planting Problems Enrichment 10: Square Numbers and Value of Ones Digit 3 Whole Numbers – Factors and multiples Enrichment 11: LCM and GCD 4 Fractions – Mixed numbers and improper fractions  5 Fractions – Four operations 6 Decimals – Decimals up to 3 decimal places 7 Decimals – Four operations 8 Measurement - Time Enrichment 12: Speed problems 9 Measurement – Money 10 Measurement - Area and perimeter 11 Geometry 12 Data Analysis

Primary 5 Mathematics: Topical Exercises & Olympiad Methods Contents 1 Whole numbers – numbers up to 10 million Enrichment 1: Whole Number 2 Whole numbers – Four operations Enrichment 2: Divisibility Enrichment 3: Using Drawings and Writing Equations  Enrichment 4: Permutation and Combination Enrichment 5: Pigeonhole Principle Enrichment 6: Cryptarithm 3 Fractions – Four operations Enrichment 7: Solve using table or drawing 4 Decimals – Four operations 5 Percentage    6 Ratio Enrichment 8: Ratio 7 Measurement – Length and Mass 8 Measurement – Area, Perimeter and Volume 9 Geometry 10 Data analysis Enrichment 9: Average Problems

Primary 6 Mathematics: Topical Exercises & Olympiad Methods Contents 1 Fraction Enrichment 1: Partial Fraction Enrichment 2: Representing a chunk fractions by A Enrichment 3: Observation and Induction 2 Percentage Enrichment 4: Venn diagram Enrichment 5: Interest Profit and Loss 3 Ratio Enrichment 6: Using Model Enrichment 7: The unchanged number Enrichment 8: Think Algebraically 4 Speed Enrichment 9: Relative Speed Enrichment 10: Relative Speed 2 – Escalator Enrichment 11: Time 5 Rate Enrichment 12: Working rate and “Project” Problems Enrichment 13: Burning rate and “Candle in the wind” Problems Enrichment 14: Growing rate and “Green pasture” Problems 6 Measurement – Area 7 Geometry – Angle and Net 8 Data Analysis 9 Algebra