## Syllabus

Module 1 Number System, Integers and Rational Numbers
Unit 1 Natural numbers, Whole numbers
Unit 2 Integers (Positive and Negative integers)
Unit 3 Addition, Subtraction, Multiplication and Division of integers
Unit 4 Properties of numbers (Associative, Commutative, Distributive, Multiplicative and Additive identity)
Unit 5 Definition and examples of Rational number
Unit 6 Positive and Negative rational numbers
Unit 7 Properties of rational numbers
Unit 8 Equivalent rational numbers
Unit 9 Standard form of a rational number
Unit 10 Representation of rational numbers on real line
Unit 11 Comparison of rational numbers
Unit 12 Addition, subtraction and multiplication of rational numbers
Unit 13 Reciprocal or multiplicative inverse of a rational number
Module 2 Fractions
Unit 1 Definition of fraction
Unit 2 Various types of fractions
Unit 3 Conversion of unlike fraction to like fraction
Unit 4 Comparison of more than two fractions
Unit 5 Addition and subtraction of fractions
Unit 6 Multiplication and division of fractions
Unit 7 Reciprocal of a fraction
Module 3 Decimals
Unit 1 Decimal places
Unit 2 Like and unlike decimal
Unit 3 Conversion of a decimal into a fraction
Unit 4 Conversion of a fraction into a decimal
Unit 5 Addition and subtraction of decimals
Unit 6 Multiplication and division of decimals
Module 4 Simple Equations
Unit 1 Linear equations
Unit 2 Solution of a linear equation
Unit 3 Problems based on linear equations
Module 5 Practical Geometry
Unit 1 Constructions
Module 6 Lines and Angles
Unit 1 Definition of line
Unit 2 Parallel and perpendicular lines
Unit 3 Transversal
Unit 4 Supplementary and complementary angles
Unit 5 Linear pair of angles
Unit 6 Various types of angles (Adjacent, vertically opposite and Alternate angles)
Module 7 The triangle and its properties & Congruence of triangles
Unit 1 Definition of triangle
Unit 2 Various types of triangles (On the basis of their sides and angles both)
Unit 3 Angle sum property of a triangle
Unit 4 Exterior and interior opposite angles
Unit 5 Triangle inequality
Unit 6 Pythagoras theorem
Unit 7 Converse of Pythagoras theorem
Unit 8 Pythagorean triplets
Unit 9 Congruent figures
Unit 10 Congruence triangles
Unit 11 Types of congruence conditions (SAS, SSS, ASA and RHS congruence condition)
Module 8 Comparing Quantities
Unit 1 Ratio and terms of ratio
Unit 2 Ratio in simplest form
Unit 3 Definition of proportion
Unit 4 Problems on the property- product of extremes = product of means
Unit 5 Continued proportion
Unit 6 Direct variation
Unit 7 Inverse variation
Module 9 Algebraic Expressions
Unit 1 Constant and Variables
Unit 2 Algebraic expression
Unit 3 Various types of algebraic expression
Unit 4 Like and unlike terms
Unit 5 Addition and subtraction of algebraic expressions
Unit 6 Multiplication of algebraic expressions (Up to two binomials)
Module 10 Exponents and Powers
Unit 1 Exponential form
Unit 2 Laws of exponents
Unit 3 Reciprocal of a rational number
Unit 4 Power
Unit 5 Expressing large numbers in standard form
Unit 6 Square root
Module 11 Perimeter and Area
Unit 1 Areas of rectilinear figures
Unit 2 Rectilinear and closed figure
Unit 3 Perimeter and area
Unit 4 Standard units of area
Unit 5 Formulae
Unit 6 Area and perimeter of a rectangle
Unit 7 Area and perimeter of a square
Unit 8 Area of parallelogram and rhombus
Unit 9 Area of triangles
Unit 10 Circumference and area of circle
Module 12 Data Handling
Unit 1 Collection and organization of data
Unit 2 Mean of ungrouped and tabulated data
Unit 3 Mode of ungrouped data
Unit 4 Median of ungrouped data and discrete series
Unit 5 Bar graphs
Unit 6 Probability
Module 13 Symmetry
Unit 1 Reflection symmetry
Unit 2 Rotational symmetry
Module 14 Visualizing Solid Shapes
Unit 1 Three dimensional shapes
Unit 2 Definition of solid
Unit 3 Definition and properties of cube, cuboid, cylinder, cone and sphere
Module 15 Concept of Percentage
Unit 1 To convert a fraction into a percentage
Unit 2 To convert a percentage into a fraction
Unit 3 To convert a given ratio into a percentage
Unit 4 To convert a given percentage in decimal form
Unit 5 To convert a given decimal into percentage
Module 16 Profit and Loss, Simple Interest
Unit 1 Profit and loss
Unit 2 Terms related to profit and loss (CP, SP, Profit and Loss)
Unit 3 To find SP when CP and gain% or loss% are given
Unit 4 To find CP when SP and gain% or loss% are given
Unit 5 Simple interest
Unit 6 Terms related to simple interest
Unit 7 Problems on simple interest

## List Of Math Olympiad Exams For Class 7

• SOF International Mathematics Olympiad (IMO)