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INTERNATIONAL MATHEMATICS OLYMPIAD (IMO)
Syllabus
CLASS 2
Numerals and number name, Addition, Multiplication, Division, Fractions, Money,
Length (conversions), Weight, Capacity, Time, Point, Line and plane Figures.
CLASS 3
Four digit Numbers, Addition, Multiplication, Division, Fractions, Money, Length
(conversions), Weight, Capacity, Time, Point, Line and plane Figures.
CLASS 4
5 digit Numbers, Place value, Roman Numerals, Addition and Subtraction, Geometry
: Square, Rectangle, Circle, Closed, Open Figure, Multiplication, Factors and
Multiples, Fractions, Divisions, Measurement, Pictorial representation of data,
Money, Time, Series and Pattern Formation of Numbers and Figures.
CLASS 5
7 and 8 digit Numbers, Rounding off, Roman Numbers, Addition, Subtraction,
Multiplication, Division, Factors and Multiples, Rules of divisibility, Prime
and composite numbers, Fractions, Decimals, Basics geometry, Circles, Symmetry,
Measurement of Length, Mass, Capacity, Perimeter and Area of rectangle and
Square, Measurement of Volume, Temperature, Time and various operations on time,
Relationship between Seconds, Minutes and Hours, Money, Representation of data
in Pictorial Form, Patterns Formation of Numbers and Figures.
CLASS 6
Number operations, Indian and International System, Bodmas Rule, Factors and
Multiples, divisibility tests, HCF and LCM, Natural and whole numbers, Integers
and operations on integers, Fraction and Decimal Algebraic Expressions, Linear
equations, Solving an Equation, Line, Line Segment and Ray, Angle, Triangle,
Quadrilateral, Circles, Types of triangles, Types of quadrilaterals, Symmetry,
Perimeter and Area, Frequency diagram, Pictograph, Bar Graphs.
CLASS 7
Integers, Properties of integers, Fractions, Multiplication and division of
fractions, Representation of rational numbers on number line, Operations of
rational numbers, Multiplication and Division of decimals, Conversion of units,
Powers and Exponents, Algebraic Expressions, Simple linear equations, Concept of
percentage, Profit and Loss, Simple interest, Understanding shapes, Properties
of triangle, Symmetry congruence of triangles, Perimeter and Area, Circles, Bar
Graphs, Simple probability.
CLASS 8
Section – I (Logical Reasoning) : Mathematical operations, Series completion,
Direction sense test, Analytical Reasoning, Problems on cubes and dice, Number
ranking & Time sequence Test and general reasoning based on prescribed syllabus.
Section – II (Mathematical Reasoning) : Squares and Square Roots, Cubes and cube
roots, Exponents and Radicals, Profit, loss and discounts, Algebraic identities,
Polynomials, Equations in one Variable, Parallel Lines, Special types of
Quadrilaterals and their constructions, Circles, Areas, Surface Areas, Volumes,
Statistics.
Section – III (Everyday Mathematics) : The Syllabus of this section will be
based on the syllabus of Mathematical Reasoning.
CLASS 9
Section – I (Logical reasoning) : Mathematical operations, Series completion,
Arithmetical Reasoning, Problems on cubes and dice, Number ranking & Time
sequence Test, Inserting missing character and general reasoning based on
prescribed syllabus.
Section – II (Mathematical reasoning) : Irrational Numbers, Polynomials, Ratio
and Proportions, Linear Equation in Two Variables, Percentage and its
applications, Compound Interest, Lines, angles and triangles, Congruence of
triangles, Inequalities in triangle, Parallelograms, Areas, Trigonometry,
Mensuration of plane and solid figures, Statistics.
Section – III (Everyday Mathematics) : The Syllabus of this section will be
based on the syllabus of Mathematical Reasoning.
CLASS 10
Section – I (Logical reasoning) : Direction sense test, Mathematical operations,
Number ranking & Time sequence Test, Coding-Decoding, Distance, Speed, Time and
general reasoning based on prescribed syllabus.
Section – II (Mathematical reasoning) : Linear Equations in Two Variables,
Polynomials, Rational Expressions, Quadratic Equations, Arithmetic Progression
(AP), Similar triangles, Circles and their properties, Trigonometric identities
and problems related to height and distance, Surface area and volumes of solid
figures, Coordinate geometry.
Section – III (Everyday Mathematics) : The Syllabus of this section will be
based on the syllabus of Mathematical Reasoning.
CLASS 11
Sets, Relation and function, Mathematical induction, Logarithms, Complex number,
Linear inequations, Differentiation, Sequence and series (A.P. & G.P, Misc.),
Trigonometric functions, Cartesian system of rectangular coordinates, Straight
line and family of straight lines, Circle, Conic section, Trigonometry,
Permutation and combinations, Binomial theorem, Statistics, Mathematical logic,
Limits.
CLASS 12
Relation and function, Inverse trigonometric function, Matrices, Determinants,
Continuity and differentiability, Application of derivatives, Integrals
(Definite and indefinite), Application of integrals, Differential equations,
Vector algebra, Three – Dimensional geometry, Linear programming, Probability,
Differentiation.
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