Math Olympiad

J6

This course builds a strong foundation in algebra, number theory, geometry, and introductory probability through structured problem-solving and analytical thinking. Pupils will learn to manipulate algebraic expressions, solve equations, and understand rational numbers and indices. The course also strengthens number theory concepts such as divisibility, primes, factors, GCD and LCM, and number systems. In geometry, pupils explore lines, angles, triangles, and the Pythagorean theorem, while real-world applications include profit and loss, area, and probability. Emphasis is placed on logical reasoning, systematic thinking, and mathematical communication.

Objectives

  • Solve simple and simultaneous equations, including algebraic expressions and polynomial multiplication
  • Understand and apply operations involving rational numbers, indices, and absolute values
  • Apply number theory concepts including divisibility, prime and composite numbers, square numbers, GCD and LCM
  • Analyse number systems and apply basic probability concepts in problem-solving situations

Course Info

Chapter Topic
Chapter 1 Simple Equation
Chapter 2 Absolute Value
Chapter 3 Operation Of Rational Numbers

 

REVIEW 1
Chapter 4 Operation Of Indices
Chapter 5 Simultaneous Equations, A System Of Equations
Chapter 6 Multiplication Of Polynomial

 

REVIEW 2
Chapter 7 Divisibility
Chapter 8 Prime Numbers And Composite Numbers
Chapter 9 Square Number
Chapter 10 Even And Odd Numbers

 

REVIEW 3
Chapter 11 GCD And LCM
Chapter 12 Permutation And Combination
Chapter 13 Observation And Induction
Chapter 14 Other Operations

 

REVIEW 4
Chapter 15 Numbering System
Chapter 16 Basics Of Probability
Chapter 17 Lines And Angles

 

REVIEW 5
Chapter 18 Triangles
Chapter 19 Pythagorean Theorem
Chapter 20 Profit, Loss

 

REVIEW 6
Chapter 21 Area
Chapter 22 Pigeonhole Principle

 

REVIEW 7
Final Project

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