## Syllabus

Number System, Integers and Rational 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)
• 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
• Definition of fraction
• Various types of fractions
• Conversion of unlike fraction to like fraction
• Comparison of more than two fractions
• Addition and subtraction of fractions
• Multiplication and division of fractions
• Reciprocal of a fraction
Decimals
• Decimal places
• Like and unlike decimal
• 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
• Solution of a linear equation
• Problems based on linear equations
Practical Geometry
• Constructions
Lines and Angles
• Definition of line
• Parallel and perpendicular lines
• Transversal
• 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
• 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
• Congruent figures
• Congruence triangles
• Types of congruence conditions (SAS, SSS, ASA and RHS congruence condition)
Comparing Quantities
• Ratio and terms of ratio
• Ratio in simplest form
• Definition of proportion
• Problems on the property- product of extremes = product of means
• Continued proportion
• Direct variation
• Inverse variation
Algebraic Expressions
• Constant and Variables
• Algebraic expression
• Various types of algebraic expression
• 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 and perimeter of a square
• Area of parallelogram and rhombus
• Area of triangles
• Circumference and area of circle
Data Handling
• Collection and organization of data
• 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
Concept of Percentage
• To convert a fraction into a percentage
• To convert a percentage into a fraction
• To convert a given ratio into a percentage
• To convert a given percentage in decimal form
• To convert a given decimal into percentage
Profit and Loss, Simple Interest
• Profit and loss
• 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
• Problems on simple interest

## List Of Math Olympiad Exams For Class 7

• SOF International Mathematics Olympiad (IMO)