Online Math Olympiad Class Syllabus for Grade 7

Olympiads are the stepping stones to achieve better results in the competitive world that lies ahead in the life of the child. Math Olympiad examinations help students to improve their mathematical skills along with their analytical and problem solving abilities.

Hence, Olympiad Success Live has designed the course for Math Olympiad for class 7 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 7 Math 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 Math Olympiad for class 7 course.

Syllabus

Number System, Integers and Rational Numbers

  • Integers
    • Various types of numbers (Natural numbers, Whole numbers)
    • Integers (Positive and Negative integers)
    • Addition, Subtraction, Multiplication and Division of integers
    • Properties of numbers (Associative, Commutative, Distributive, Multiplicative and Additive identity)
  • Rational Numbers
    • Definition and examples of Rational number
    • Positive and Negative rational numbers
    • Properties of rational numbers
    • Equivalent rational numbers
    • Standard form of a rational number
    • Representation of rational numbers on real line
    • Comparison of rational numbers
    • Addition, subtraction and multiplication of rational numbers
    • Reciprocal or multiplicative inverse of a rational number

Fractions

  • Fraction
    • Definition of fraction
    • Various types of fraction (Decimal, Vulgar, Proper, Improper, Mixed, Equivalent, Like and Unlike fractions)
    • Conversion of unlike fraction to like fraction
  • Comparing Fractions
    • Comparison of more than two fractions
    • Addition and subtraction of fractions
    • Multiplication and division of fractions
    • Reciprocal of a fraction

Decimals

  • Decimals
    • Decimal places
    • Like and unlike decimal
  • Comparing decimals
    • Conversion of a decimal into a fraction
    • Conversion of a fraction into a decimal
    • Addition and subtraction of decimals
    • Multiplication and division of decimals

Simple Equations

  • Linear equations in one variable
    • Linear equations
    • Solution of a linear equation
    • Problems based on linear equations

Practical Geometry

  • Constructions

Lines and Angles

  • Lines
    • Definition of line
    • Parallel and perpendicular lines
    • Transversal
  • Angles
    • Supplementary and complementary angles
    • Linear pair of angles
    • Various types of angles (Adjacent, Vertically opposite and Alternate angles)

The triangle and its properties & Congruence of triangles

  • Properties of Triangles
    • Definition of triangle
    • Various types of triangles (On the basis of their sides and angles both)
    • Angle sum property of a triangle
    • Exterior and interior opposite angles
    • Triangle inequality
    • Pythagoras theorem
    • Converse of Pythagoras theorem
    • Pythagorean triplets
  • Congruence of triangles
    • Congruent figures
    • Congruence triangles
    • Types of congruence conditions (SAS, SSS, ASA and RHS congruence condition)

Comparing Quantities

  • Ratio and Proportion
    • Ratio and terms of ratio
    • Ratio in simplest form
  • Proportion
    • Definition of proportion
    • Problems on the property- product of extremes = product of means
    • Continued proportion
  • Unitary Method
    • Direct variation
    • Inverse variation

Algebraic Expressions

  • Constant and Variables
    • Algebraic expression
    • Various types of algebraic expression (Monomials, Binomials, Trinomials, Quadrinomials and Polynomials)
    • Like and unlike terms
    • Addition and subtraction of algebraic expressions
    • Multiplication of algebraic expressions (Up to two binomials)

Exponents and Powers

  • Exponential form
    • Laws of exponents
    • Reciprocal of a rational number
  • Power
    • Expressing large numbers in standard form
    • Square root

Perimeter and Area

  • Areas of rectilinear figures
    • Rectilinear and closed figure
    • Perimeter and area
    • Standard units of area
  • Formulae
    • Area and perimeter of a rectangle
    • Area of 4 walls of a room
    • Area and perimeter of a square
    • Area between two rectangles
    • Area of parallelogram and rhombus
    • Area of triangles
    • Circumference and area of circle

Data Handling

  • Collection and organization of data
    • Definitions of data, raw data, array, tabulation of data, observation, frequency of observation and statistics
    • Mean of ungrouped and tabulated data
    • Mode of ungrouped data
    • Median of ungrouped data and discrete series
  • Bar graphs
  • Probability

Symmetry

  • Reflection symmetry
  • Rotational symmetry

Visualizing Solid Shapes

  • Three dimensional shapes
    • Definition of solid
    • Definition and properties of cube, cuboid, cylinder, cone and sphere
    • Net of three-dimensional figure

Concept of Percentage

  • Percentage
    • To convert a fraction into a percentage
    • To convert a percentage into a fraction
    • Percentage as a ratio
    • To convert a given ratio into a percentage
    • To convert a given percentage in decimal form
    • To convert a given decimal into percentage
    • Word problems on percentage

Profit and Loss, Simple Interest

  • Profit and loss
    • Some terms related to profit and loss (CP, SP, Profit and Loss)
    • To find SP when CP and gain% or loss% are given
    • To find CP when SP and gain% or loss% are given
  • Simple interest
    • Terms related to simple interest (Principal, interest, amount, rate and simple interest)
    • Problems on simple interest

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