Math Olympiad
Class 7

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)
  • CREST Mathematics Olympiad (CMO)
  • Silverzone International Olympiad of Mathematics (IOM)
  • Unified Council- Unified International Mathematics Olympiad (UIMO)
  • HummingBird Mathematics Olympiad (HMO)
  • EduHeal National Interactive Math (NIMO)
  • Indian Talent Olympiad- International Mathematics (IMO)
  • Southeast Asian Mathematics Olympiad (SEAMO)
  • Indian School Talent Search Exam (ISTSE)
  • ASSET Mathematics
  • International Assessments for Indian Schools (IAIS) – IAIS Math
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