# IMO Syllabus

The International Mathematical Olympiad (IMO) is held by the Science Olympiad Foundation (SOF) for students in grades 1 to 12. The goal is to identify and support students who have a strong chance of becoming future scientists or technologists. The IMO test has two levels: level 1 and level 2.

The Mathematics Olympiad Syllabus for each class is divided into four portions, each of which contains concepts and subjects that are completely suited to the curriculum and student understanding. The IMO Syllabus is divided into four sections:

1. Logical reasoning section – The section is meant to help students in improving their learning abilities, and feel comfortable approaching nonverbal and verbal reasoning on a number of topics.
2. Mathematical reasoning section – Students must learn several methods for strengthening mathematical reasoning by resolving various kinds of mathematical problems.
3. Everyday Mathematics – The 3rd section focuses on aiding students to improve their problem-solving skills in relation to various mathematical concepts.
4. Achiever section – In the last section, students are evaluated on their fundamental mathematical skills. Since the core concepts are discussed in this segment, in order to handle various questions more effectively, students must be conversant with the topics in advance.

Every year, the International Mathematics Olympiad (IMO) is held. The goal is to identify and support students who have a high probability of becoming future scientists. This test is divided into two levels, each with its own syllabus, such as the IMO level 1 syllabus and the SOF IMO 2nd level syllabus. The IMO Olympiad’s class-wise syllabus is listed here. Classes 1 – 4 have 35 questions to answer, while Classes 5 – 12 have 50 to solve.

### Syllabus Covered in Class 1

The IMO Class 1 Syllabus is divided into four portions, each of which covers the topics listed below.

 Section 1 Section 2 Section 3 and 4 Section 1 includes the following topics: Patterns Geometrical Shapes Odd One Out Spatial Understanding Grouping Measuring Units Analogy Ranking Test Problems on Figures Section 2 includes the following topics: Numerals Number Names Number Sense Subtraction Addition Lengths Money Time Geometrical Shapes and Solids Weights and Comparisons These cover the same topics as section 2, however, they are more advanced. Students must rely more on their fundamental skills to solve these sections’ problems.

### Syllabus Covered in Class 2

The IMO Class 2 Syllabus is divided into four portions, each of which covers the topics listed below.

 Section 1 Section 2 Section 3 and 4 Section 1 includes the following topics: Patterns Odd One Out Geometrical Shapes Measuring Units Embedded Figures Grouping of Figures Coding-Decoding Section 2 includes the following topics: Numerals Computation Operations Number Names and Sense Patterns Pictographs Weight Length Capacity Temperature Time Money Lines Shapes and Solids Sections 3 and 4 cover topics that are similar to those covered in section 2, but are more complex.

### Syllabus Covered in Class 3

The IMO Syllabus Class 3 is divided into four portions, each of which covers the topics listed below.

 Section 1 Section 2 Section 3 and 4 Section 1 includes the following topics: Patterns Analogy and Classifications Alphabet Test Ranking Test Coding-Decoding Days and Dates; Possible Combinations Grouping of Figure and Figure Matrix Mirror Images Geometrical Shapes Embedded Figures Section 2 includes the following topics: Numerals Number names and Number Sense (4-digit numbers) Computation Operations Fractions Length Weight Capacity Temperature Time Money Geometry Data Handling Sections 3 and 4 include in-depth, the subjects covered in section 2 and require students to approach them using mathematical reasoning.

### Syllabus Covered in Class 4

The IMOÂ Class 4 Syllabus is divided into four portions, each of which covers the topics listed below.

 Section 1 Section 2 Section 3 and 4 Section 1 includes the following topics: Alphabet Test Patterns Ranking Test Coding-Decoding Mirror Images, Embedded Figures Geometrical Shapes and Solids Analogy and Classification Days and Dates & Possible Combinations Direction Sense Test Section 2 includes the following topics: Numerals and Number Names Computation Operations Number Sense (more than 4-digit numbers) Fractions Weight Money Length Time Capacity Geometry Symmetry Conversions Perimeter of Various Shapes Data Handling To solve the questions more efficiently in this section, students must have a greater understanding of the fundamental concepts from previous sections.

### Syllabus Covered in Class 5

The IMO Class 5 Syllabus is divided into four portions, each of which covers the topics listed below.

 Section-1 Section-2 Section-3 Section-4 Section 1 includes the following topics: Alphabet Test Direction Sense Test Coding-Decoding Analogy and Classification Geometrical Shapes Mirror and Water Images Logical Sequence of Words Patterns Puzzle Test Ranking Test Section 2 includes the following topics: Numerals Computation Operations Number Sense and Number names (7 & 8 digit numbers) Fractions and Decimals Conversions Measurement of Weight, Length, Capacity, Money, Time and Temperature The Perimeter of Various Shapes Geometrical Shapes and Solids Area of Rectangle and Square Angles Symmetry Data Handling The syllabus for this portion will be derived from the topics given for mathematical reasoning. This one is based on the syllabus for section 2 and includes the thinking questions based on that.

### Syllabus Covered in Class 6

The IMO Class 6 Syllabus is divided into four portions, each of which covers the topics listed below.

 Section 1 Section 2 Section 3 Section 4 Section 1 includes the following topics: Non-verbal Reasoning Verbal Reasoning Section 2 includes the following topics: Knowing our Numbers Playing with Numbers Whole Numbers Understanding Elementary Shapes Basic Geometrical Ideas Data Handling Algebra Ratio & Proportion Mensuration Integers Decimals Fractions Practical Geometry, Symmetry It is based on the mathematical reasoning syllabus. It is as per the syllabus in section 2, and includes high-order thinking version.

### Syllabus Covered in Class 7

The IMO Class 7 Syllabus is divided into four portions, each of which covers the topics listed below.

 Section 1 Section 2 Section 3 Section 4 Section 1 includes the following topics: Non-verbal Reasoning Verbal Reasoning Section 2 includes the following topics: Integers Exponents and Powers Fractions and Decimals Lines and Angles Rational Numbers Comparing Quantities Simple Linear Equations Algebraic Expressions Data Handling Visualizing Solid Shapes Practical Geometry Congruence of Triangles, Triangle and its Properties and Symmetry Perimeter and Area It is based on the mathematical reasoning syllabus. It is based on section 2 and includes high-order thinking problems.

### Syllabus Covered in Class 8

The SOF IMO Class 8 Syllabus is divided into four portions, each of which covers the topics listed below.

 Section 1 Section 2 Section 3 Section 4 Section 1 includes the following topics: Non-verbal Reasoning Verbal Reasoning Section 2 includes the following topics: Rational Numbers Exponents and Powers Cubes and Cube Roots Squares and Square Roots Algebraic Expressions and Identities Linear Equations in One Variable Linear Equations in One Variable Comparing Quantities Constructions Understanding Quadrilaterals Visualizing Solid Shapes Mensuration Direct and Inverse Variations Data Handling Introduction to Graphs, Playing with Numbers Factorization It is based on the mathematical reasoning syllabus. It is based on section 2 and includes high-order thinking problems.

### Syllabus Covered in Class 9

The IMO Syllabus Class 9 is divided into four portions, each of which covers the topics listed below.

 Section 1 Section 2 Section 3 Section 4 Section 1 includes the following topics: Non-verbal Reasoning Verbal Reasoning Section 2 includes the following topics: Number Systems Coordinate Geometry Polynomials Introduction to Euclidâ€™s Geometry Linear Equations in Two Variables Quadrilaterals, Triangles Lines and Angles Statistics Circles, Constructions, Heronâ€™s Formula, Surface Areas and Volumes Areas of Parallelograms and Triangles Probability The syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude. It is based on section 2 but includes high-order thinking problems.

### Syllabus Covered in Class 10

The IMO Class 10 Syllabus is divided into four portions, each of which covers the topics listed below.

 Section 1 Section 2 Section 3 Section 4 Section 1 includes the following topics: Non-verbal Reasoning Verbal Reasoning Section 2 includes the following topics: Real Numbers Pair of Linear Equations in Two Variables Coordinate Geometry Statistics Arithmetic Progressions Polynomials Quadratic Equations Introduction to Trigonometry, Some Applications of Trigonometry Triangles, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes Probability This section’s syllabus is based on quantitative aptitude and mathematical reasoning. It is based on section 2 and includes high-order thinking questions.

### Syllabus Covered in Class 11

The IMO Class 11 Syllabus is divided into four portions, each of which covers the topics listed below.

### Topics covered in section 1:

• Non-verbal Reasoning
• Verbal Reasoning

### Topics covered in section 2:

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

or

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

### Topics covered in section 3:

The syllabus of this portion is based on the syllabus of Quantitative Aptitude.

### Topics covered in section 4:

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

### Syllabus Covered in Class 12

The IMO Class 12 Syllabus is divided into four portions, each of which covers the topics listed below.

### Topics covered in section 1:

• Non-verbal Reasoning
• Verbal Reasoning

### Topics covered in section 2:

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

Or

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

### Topics covered in section 3:

The syllabus of this portion is based on the syllabus of Quantitative Aptitude.

### Topics covered in section 4:

Matrices, Application of Derivatives, Integration, Determinants, Application of Integrations, Linear Programming, Differential Equations, Probability.

The IMO exam is a 60-minute objective-type test with 35 questions for Classes 1 to 4, and 50 questions for Classes 5 to 12. Each test is divided into three or four sections, based on the subjects of the Olympiad’s conduction.

## Frequently Asked Questions on IMO Syllabus

### What should I do to get ready for the IMO?

Practice papers, mock exams, and a syllabus copy are the best ways to prepare for the IMO exam. You should go through many IMO test sample questions and Previous Yearsâ€™ Olympiad question papers.

### What kinds of questions are asked in the IMO for classes 11 and 12?

This examination is 60 minutes long and is written in objective type. There will be 35 questions for grades 1 to 4, and 50 questions for grades 5 to 12. Each test has three or four sections, based on Olympiad subjects.

### What are the advantages of IMO?

IMO provides a number of advantages to contestants. Math is a subject that demands a lot of practice. Students may only gain a better understanding of basic topics by solving a range of questions. It sharpens the mind, allowing pupils to focus on the school curriculum and, as a result, perform well in school tests. Students who attend IMO are able to solve the majority of difficult questions easily.