# 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.

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##### 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
• 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
• 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

Online classes started for English, Mathematics, Science and Reasoning for classes (3rd to 10th)