**IMO Exam Syllabus**

**IMO Syllabus
**

**CLASS 2**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.

**Section – I :**Logical Reasoning, Section – II : Mathematical Reasoning &

**Section – III**: Everyday Mathematics

**SYLLABUS**

Numerals and number name, Number Sense (3 digit number), Addition, Subtraction, Money, Measurement of length (conversions), Weight, Time and Temperature, Calendar, Point, Line and Plane Figures, Problems based on figures, Patterns, Series completion, Find odd numeral out, Geometrical shapes.

**CLASS 3**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.

**Section – I : **Logical Reasoning, Section – II : Mathematical Reasoning &

**Section – III : **Everyday Mathematics

**SYLLABUS**

Numerals and number name, Number Sense (4 digit numbers), Addition, Subtraction, Multiplication, Division, Fractions, Money, Length (conversions), Weight, Capacity, Time, Point, Problems based on figures, Find odd numeral out, Patterns, Series completion, Coding-decoding, Mirror images, Embedded figures, Straight lines and curved lines, Geometrical shapes.

CLASS 4

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.

**Section – I :** Logical Reasoning, Section II : Mathematical Reasoning &

**Section – III **: Everyday Mathematics

**SYLLABUS**

Numerals and number name (5 digit number), Place value, Roman Numerals, Addition and Subtraction, Geometry : Square, Rectangle, Circle, Closed, Open Figure, Multiplication and Division, Factors and Multiples, Fractions, Measurement, Pictorial representation of data, Money, Time, Weight and capacity, Series and Pattern Formation of Numbers and Figures, Conversions, Comparison, Perimeter of various shapes, Direction sense, Mirror images, Embedded figures, Number ranking, Alphabetical test, Coding-Decoding, Mathematical Reasoning, Symmetry.

**CLASS 5**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.

**Section – I :** Logical Reasoning, Section – II : Mathematical Reasoning &

**Section – III : **Everyday Mathematics

**SYLLABUS**

Number sense, Numeral and number name (7 and 8 digits), Roman Numbers, Addition, Subtraction, Multiplication, Division, Factors and Multiples, LCM, HCF, Rules of divisibility, Whole, Prime and composite numbers, Fractions, Decimals, Geometrical shapes & angles, Circles, Symmetry, Measurement of Length, Mass, Capacity, Perimeter and Area of rectangle, 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, Direction sense, Number Ranking and Alphabetical test, Series, Odd one out.

**CLASS 6**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.

**Section – I :** Logical Reasoning, Section – II : Mathematical Reasoning & Section – III : Everyday Mathematics

**SYLLABUS**

Roman numerals, Number sense, HCF and LCM, Addition and subtraction, Multiplication and division, Fractional numbers, Decimal fractions, Geometrical shapes, Angles, Arithmetical ability, Area and perimeter of rectangle, square, circle, triangle, Volume, Pictorial representation of data, Integers, Factors and multiples, Ratio and proportion, Percentage, Measurements.

Problems based on figures, Find odd numeral out, Series completion, Coding-decoding, Mathematical reasoning, Mirror images, Embedded figures, Patterns, Direction sense, Number Ranking and Alphabetical test.

**CLASS 7**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.

**Section I :** Logical Reasoning, Section II : Mathematical Reasoning & Section III : Everyday Mathematics

**SYLLABUS**

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, Area, Volume, Circles, Data handling, Arithmetical ability.

Problems based on figures, Find odd numeral out, Series completion, Coding-decoding, Mathematical reasoning, Mirror images, Embedded figures, Patterns, Direction sense, Number Ranking and Alphabetical test.

**CLASS 8**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.

**SYLLABUS**

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, Comparing quantities, Algebraic identities, Polynomials, Equations in one Variable, Parallel Lines, Special types of Quadrilaterals and their constructions, Mensuration, Arithmetic Ability, Data handling.

Section – III (Everyday Mathematics) : The Syllabus of this section will be based on the syllabus of Mathematical Reasoning.

**CLASS 9**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.

SYLLABUS

**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) : **Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles, Constructions, Heron’s Formula, Surface Areas and Volumes, Statistics, Probability.

**Section – III (Everyday Mathematics) :** The Syllabus of this section will be based on the syllabus of Mathematical Reasoning.

**CLASS 10**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 20 questions in section I, 20 in section II and 10 in section III.

**SYLLABUS**

**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) : Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability.

Section – III (Everyday Mathematics) : The Syllabus of this section will be based on the syllabus of Mathematical Reasoning.

**CLASS 11**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections, 20 questions in section I, 20 in section II and 10 in section III.

Section I : Logical Reasoning, Section II : Mathematical Reasoning & Section III : Everyday Mathematics

**SYLLABUS**

Sets, Relations and functions, Mathematical induction, Logarithms, Complex numbers & quadratic equations, Linear inequations, Differentiation, Sequences and series (A.P. & G.P. Misc.), Trigonometry, Cartesian system of rectangular coordinates, Straight lines and family of straight lines, Circles, Conic section, Trigonometry, Permutations and combinations, Binomial theorem, Statistics, Mathematical logic, Limits, Probability, Introduction to 3-D geometry. Problems based on figures, Find odd numeral out, Series completion, Coding-decoding, Mathematical reasoning, Analytical reasoning, Mirror images, Embedded figures, Direction sense test, Cubes and dice.

**CLASS 12**

The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections, 20 questions in section I, 20 in section II and 10 in section III.

**Section I :** Logical Reasoning, Section II : Mathematical Reasoning & Section III : Everyday Mathematics

SYLLABUS

Sets, Relations and functions, Mathematical induction, Logarithms, Complex numbers, Linear inequations, Quadratic equations, Sequences and series, Trigonometry, Cartesian system of rectangular coordinates, Straight lines and family of straight lines, Circles, Conic section, Permutations and combinations, Binomial theorem, Exponential and logarithmic series, Mathematical logic, Statistics & Probability, Three dimensional geometry, Vectors, Stocks, Shares and debentures, Average and partition values, Index numbers, Matrices and determinants, Limits, Differential calculus, Integral calculus, Verbal and nonverbal reasoning.

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