Online Non-Routine Mathematics Olympiad Class Syllabus for Grade 5

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 5 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 5 Non-Routine Mathematics Olympiad with relevant background and experience.

If you are interested in purchasing this course, then please Enrol Now. You will be redirected to the batch detail page, wherein you can see all the details like batch start and demo dates, fess and the registration link related to Non-Routine Mathematics Olympiad for class 5 course.

Syllabus

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

Algebra

  • 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
    • 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

Combinatorics

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

Mathematical Reasoning

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