# IMO Syllabus

Here, at SOF Olympiad Trainer, we strive to provide you content of high quality and relevance. We have ensured that all the topics and sub-topics are covered in detail in accordance with the course. A wide variety of questions of varied difficulty have been given in order to ensure proper practice for students.

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The syllabus for International Maths Olympiad is divided into four sections for each class starting from class 1st to class 10th . This has been done in order to ensure that it is represented in an easy-to-find way. The sub-topics are given strictly according to the class in which the student is and the Mock Tests and Sample Papers are also provided.

Section 1: Logical Reasoning Section contains questions related to Patterns, classifications, analogies etc upto class 5th. Class 6th onwards, it contains questions related to Verbal and Non-Verbal Reasoning. For Logical Reasoning Book Click Here

Section 2: Mathematical Reasoning Section in which questions are based on the topics relevant to the current and previous class Maths Syllabus.

Section 3: Everyday Mathematics Section in which the syllabus is same as that of Section 2. However, the questions are more of the type of Everyday Mathematics and not related to reasoning.

Section 4: Achievers Section which also covers questions based on the topics of Section 2 but the level of questions is higher. It is advisable to start this section only after the other three sections are complete.

In IMO Level-1 exam, 60% of the questions will be from the current class syllabus and 40% from the previous class syllabus. However, the questions in Achiever's Section will be from the current class syllabus only.

## Class 1

Section-1 : Patterns, Odd One Out, Measuring Units, Geometrical Shapes, Spatial Understanding, Grouping, Analogy, Ranking Test, Problems based on Figures.

Section-2 : Numerals, Number names, Number Sense (2 digit numbers), Addition, Subtraction, Lengths, Weights and Comparisons, Time, Money, Geometrical Shapes and Solids, Patterns.

Section-3 : Syllabus as per Section-2.

Section-4 : Higher Order Thinking Questions - Syllabus as per Section-2

## Class 2

Section-1 : Patterns, Odd One Out, Measuring Units, Geometrical Shapes, Analogy, Ranking Test, Grouping of Figures, Embedded Figures, Coding-Decoding.

Section-2 : Numerals, Number names and Number Sense (3-Digit Numbers), Computation Operations, Length, Weight, Capacity, Time, Temperature, Money, Lines, Shapes and Solids, Pictographs, Patterns.

Section-3 : Syllabus as per Section-2.

Section-4 : Higher Order Thinking Questions- Syllabus as per Section-2.

## Class 3

Section-1 (Logical Reasoning) : Patterns, Analogy and Classification, Alphabet Test, Coding-Decoding, Ranking Test, Grouping of Figures and Figure Matrix, Mirror Images, Geometrical Shapes, Embedded Figures, Days and Dates & Possible Combinations.

Section-2 (Mathematical Reasoning) : Numerals, Number names and Number Sense (4-digit numbers), Computation Operations, Fractions, Length, Weight, Capacity, Temperature, Time, Money, Geometry, Data Handling.

Section-3 (Everyday Mathematics) : Syllabus as per Section - 2.

Section-4 (Achievers Section) : Higher Order Thinking Questions- Syllabus as per Section-2.

## Class 4

Section-1 : Patterns, Alphabet Test, Coding-Decoding, Ranking Test, Mirror Images, Geometrical Shapes and Solids, Embedded Figures, Direction Sense Test, Days and Dates & Possible Combinations, Analogy and Classification.

Section-2 : Numerals and Number Names, Number Sense (more than 4-digit numbers), Computation Operations, Fractions, Length, Weight, Capacity, Time, Money, Geometry, Perimeter of Various Shapes, Symmetry, Conversions, Data Handling.

Section-3 : Syllabus as per Section-2.

Section-4 : Higher Order Thinking Questions - Syllabus as per Section-2.

## Class 5

Section-1 : Patterns, Analogy and Classification, Geometrical Shapes, Mirror and Water Images, Direction Sense Test, Ranking Test, Alphabet Test, Logical Sequence of Words, Puzzle Test, Coding-Decoding.

Section-2 : Numerals, Number names and Number Sense (7 and 8 digit numbers), Computation Operations, Fractions and Decimals, Measurement of Length, Weight, Capacity, Time, Temperature and Money, Conversions, Geometrical Shapes and Solids, Angles, Perimeter of Various Shapes & Area of Rectangle and Square, Symmetry, Data Handling.

Section-3 : The syllabus of this section will be based on the Syllabus of Mathematical Reasoning.

Section-4 : Higher Order Thinking Questions - Syllabus as per Section-2.

## Class 6

Section-1 : Verbal and Non-Verbal Reasoning.

Section-2 : Knowing our Numbers, Whole Numbers, Playing with Numbers, Basic Geometrical Ideas, Understanding Elementary Shapes, Integers, Fractions, Decimals, Data Handling, Mensuration, Algebra, Ratio and Proportion, Symmetry, Practical Geometry.

Section-3 : Syllabus as per Section - 2.

Section-4 : Higher Order Thinking Questions - Syllabus as per Section-2.

## Class 7

Section-1 : Verbal and Non-Verbal Reasoning.

Section-2 : Integers, Fractions and Decimals, Exponents and Powers, Algebraic Expressions, Simple Linear Equations, Lines and Angles, Comparing Quantities, The Triangle and its Properties, Symmetry, Congruence of Triangles, Rational Numbers, Perimeter and Area, Data Handling, Visualising Solid Shapes, Practical Geometry.

Section-3 : Syllabus as per Section - 2.

Section-4 : Higher Order Thinking Questions - Syllabus as per Section-2.

## Class 8

Section-1 : Verbal and Non-Verbal Reasoning.

Section-2 : Rational Numbers, Squares and Square Roots, Cubes and Cube Roots, Exponents and Powers, Comparing Quantities, Algebraic Expressions and Identities, Linear Equations in One Variable, Understanding Quadrilaterals, Constructions, Mensuration, Visualising Solid Shapes, Data Handling, Direct and Inverse Variations, Factorisation, Introduction to Graphs, Playing with Numbers.

Section-3 : Syllabus as per Section - 2.

Section-4 : Higher Order Thinking Questions - Syllabus as per Section-2.

## Class 9

Section-1 : Verbal and Non-Verbal Reasoning.

Section-2 : 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-3 : The syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude.

Section-4 : Higher Order Thinking Questions - Syllabus as per Section-2.

## Class 10

Section-1 : Verbal and Non-Verbal Reasoning.

Section-2 : 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-3 : The Syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude.

Section-4 : Higher Order Thinking Questions - Syllabus as per Section-2.

## Class 11

Section-1 : Verbal and Non-Verbal Reasoning.

Section-2 : Sets, Relations and Functions, Principle of Mathematical Induction, Logarithms, Complex Numbers & Quadratic Equations, Linear Inequations, Sequences and Series, Trigonometry, Straight Lines, Conic Sections, Permutations and Combinations, Binomial Theorem, Statistics, Mathematical Reasoning, Limits and Derivatives, Probability, Introduction to 3-D Geometry.

#### OR

Section-2 : Numbers, Quantification, Numerical Applications, Sets, Relations and Functions, Sequences and Series, Permutations and Combinations, Mathematical Reasoning, Limits, Continuity and Differentiability, Probability, Descriptive Statistics, Basics of Financial Mathematics, Straight Lines, Circles.

Section-3 : The syllabus of this section will be based on the syllabus of Quantitative Aptitude.

Section-4 : Sets, Relations and Functions, Sequences and Series, Permutations and Combinations, Limits and Derivatives, Straight Lines, Circles, Probability.

## Class 12

Section-1 : Verbal and Non-Verbal Reasoning.

Section-2 : Relations and Functions, Inverse Trigonometric Functions, Matrices and Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Probability, Linear Programming.

#### OR

Section-2 : Numbers, Quantification, Numerical Applications, Solutions of Simultaneous Linear Equations, Matrices, Determinants, Application of Derivatives, Integration, Application of Integrations, Differential Equations, Probability, Inferential Statistics, Index numbers, Time-based data, Financial Mathematics, Linear Programming.

Section-3 : The syllabus of this section will be based on the syllabus of Quantitative Aptitude.

Section-4 : Matrices, Determinants, Application of Derivatives, Integration, Application of Integrations, Differential Equations, Linear Programming, Probability.

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## International Mathematics Olympiad (IMO) Level-1 Pattern

 Class Section No. of Questions Marks per Question Total Marks 1 to 4 Logical Reasoning 10 1 10 Mathematical Reasoning 10 1 10 Everyday Mathematics 10 1 10 Achievers Section 5 2 10 Grand Total 35 40 5 to 10 Logical Reasoning 15 1 15 Mathematical Reasoning 20 1 20 Everyday Mathematics 10 1 10 Achievers Section 5 3 15 Grand Total 50 60 11 to 12 Logical Reasoning 15 1 15 Mathematical Reasoning /Applied Mathematics 20 1 20 Everyday Mathematics 10 1 10 Achievers Section 5 3 15 Grand Total 50 60