Math Olympiad

J3

This course focuses on developing higher-order mathematical thinking through challenging problem-solving activities and strategic reasoning. Pupils will explore advanced concepts involving patterns, logic, counting, number properties, geometry, and real-world problem situations. Through a variety of problem-solving techniques, pupils will learn to analyse problems systematically, select appropriate strategies, and communicate mathematical reasoning effectively.

Objectives

  • Apply a variety of problem-solving strategies to solve complex and non-routine mathematical problems
  • Identify patterns and relationships to make predictions and develop solutions
  • Use logical reasoning and systematic thinking to analyse mathematical situations
  • Apply techniques such as model drawing, comparison, replacement, and working backwards
  • Solve problems involving age, journey, counting, remainders, and number properties

Course Info

Chapter Topic
Chapter 1 Looking for a Pattern
Chapter 2 The Story of Gauss 2
Chapter 3 Working Backwards
Chapter 4 The Chicken-and-Rabbit Problem
Chapter 5  Problem from Planting Trees

 

REVIEW 1
Chapter 6 Tricks in Addition and Subtraction
Chapter 7 Tricks in Multiplication and Division
Chapter 8  Logic
Chapter 9 Counting
Chapter 10 Problem on Journey

 

REVIEW 2
Chapter 11 The Age Problem
Chapter 12 Solve Using Model
Chapter 13 Solve by Comparison and Replacement
Chapter 14 The Excess-and-Shortage Problem
Chapter 15 Finding Cubes

 

REVIEW 3
Chapter 16 The Shortest Path
Chapter 17 Interesting Remainder Problems
Chapter 18 Finding Perimeter
Chapter 19 The Page-Number Problem
Chapter 20 Defining New Operations

 

REVIEW 4
Chapter 21 Value of Ones Digit
Chapter 22 Pigeonhole Principle

 

Final Paper

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