Online Non-Routine Mathematics Olympiad Class Syllabus for Grade 6

Olympiads are the stepping stones to achieve better results in the competitive world that lies ahead in the life of the child. Non-Routine Mathematics Olympiad Examinations stimulates enthusiasm, fosters creativity, and strengthens intuition in mathematical problem solving of a student.

Hence, Olympiad Success Live has designed the course for Non-Routine Mathematics Olympiad for class 6 in such a way that the foundation of the child is built up. For this, we have done great efforts in finding the tutor for class 6 Non-Routine Mathematics Olympiad with relevant background and experience.

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Number theory

  • Rational Numbers
    • Rational number and its examples
    • Natural number, Whole number and integer
    • Properties of rational numbers (Using identities)
    • Representation of rational number on the number line
  • Real Numbers
    • Natural numbers, Integers
    • Euclid's Division Lemma and Factor Tree
    • Fundamental Theorem of Arithmetic
    • Rational numbers as recurring/terminating decimals
    • Irrational numbers
    • Laws of exponents with integral powers
  • Diophantine Equations
  • Factors and Multiples
    • Divisibility tests for 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11
    • HCF and LCM by Prime factorization and by Division method
    • HCF and LCM of more than two numbers
    • Results of Prime and Elementary results of Prime

Geometry & Mensuration

  • Triangles
    • Triangle, Congruent triangles, Interior and Exterior of a triangle
    • Various types of triangles (On the basis of length and angles)
    • Angle sum property of a triangle
  • Quadrilaterals
    • Introduction of Quadrilateral (Adjacent and opposite sides, Adjacent and opposite angles)
    • Convex and Concave Quadrilaterals
    • Interior and Exterior of a Quadrilateral
    • Angle sum property of a Quadrilateral
    • Various types of Quadrilaterals with their properties (Square, Rectangle, Parallelogram, Trapezium, Rhombus)
  • Circles
    • Introduction of Circle (Radius, Diameter, Chord, Secant, Segments, Arc and Sector of a circle)
    • Circumference of circle
    • Semicircle
    • Concentric circles
  • Line segment, Ray and Line
    • Introduction of Plane, Point, Line Segment, Ray and Line
    • Intersecting lines, Concurrent lines, Parallel lines and Perpendicular lines
    • Distinction between A line segment, A ray and A line
  • Polygons
    • Classification of polygons
    • Angle sum property
    • Types of quadrilaterals
    • Properties of quadrilaterals
    • Interior and exterior angles of a regular polygon
  • Area and Perimeter
    • Definition of area and perimeter
    • Area and perimeter of rectangle
    • Area and perimeter of square
    • Area of four walls of room
    • Area and perimeter of triangle
    • Area and perimeter of parallelogram
    • Area and circumference of circle
    • Area of sector and segment
    • Length of arc
  • Volume
    • Volume of cube, cuboid and cylinder
    • Total surface area of cube, cuboid and cylinder
    • Lateral surface area of cube, cuboid and cylinder
    • Diagonal of cube and cuboid


  • Algebraic Expression
    • Definition of literals
    • Operation on literals and numbers (Addition, Subtraction, Multiplication and Division)
    • Powers of a literal
    • Variable and constant
  • Various types of algebraic expression
    • Monomials, Binomials, Trinomials, Quadrinomials and Polynomials
    • Factors and Coefficients
    • Constant term
    • Like and unlike terms
    • Operations on algebraic expression (Addition and Subtraction)
  • Linear Equations
    • Definition of equation and linear equation
    • Problems on application of equations
  • Pair of Linear Equations in Two Variables
    • Pair of linear equations in two variables and their graphical solution
    • Conditions of different possibilities of solutions/inconsistency
    • Solution of a pair of linear equations in two variables algebraically
      • Substitution method
      • Elimination method
      • Cross multiplication method
  • Complex Numbers
    • Introduction to complex numbers
    • Problems related to 'I' IOTA
  • Quadratic Equations
    • Standard form of a quadratic equation ax2+ bx + c = 0, (a ≠ 0)
    • Solution of the quadratic equations (only real roots)
      • Factorization method
      • Completing the square method
      • Quadratic formula method
    • Relationship between discriminant and nature of roots


  • Probability
    • Probability of occurrence defined by P(E) – Outcomes for samples spaces involving coins, cards and dice
  • Graph Theory
    • Problems on Graphs and graphs related questions


  • Counting Techniques
  • Pigeon Hole Principle
  • Principle of Inclusion and Exclusion

Mathematical Reasoning

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