IMO Syllabus 2025: Algebra, Geometry, Trigonometry, Calculus, Number system, and other mathematical topics are covered in the IMO Syllabus 2025, which is designed to assess students' Mathematical knowledge from classes 1 to 12.
Depending on the student's class, the International Mathematical Olympiad Syllabus 2025 is separated into many sections. As students advance in the course, the degree of difficulty rises. In the below section of the blog, you can get the details of the IMO Syllabus and Exam Pattern.Approximately 60% of questions come from the current class syllabus and 40% from the previous class syllabus, except in the Achievers Section, which is entirely from the current syllabus.
IMO Syllabus 2025 Overview | |
Organization | Homi Bhabha Centre for Science Education (HBCSE) |
Exam Name | International Mathematical Olympiad (IMO 2025) |
IMO 2025 Exam Date | 10th to 20th July 2025 |
Types of Questions | Multiple Choice Questions (MCQs) |
Duration of IMO Exam | 1 Hour |
Mode of Exam | Offline |
Official Website | https://olympiads.hbcse.tifr.res.in/ |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Patterns, Odd One Out, Measuring Units, Geometrical Shapes, Spatial Understanding, Grouping, Analogy, Ranking Test, Problems based on Figures. |
10 |
1 |
10 |
Section 2 -Mathematical Reasoning |
Numerals, Number Names, Number Sense (2-digit numbers), Addition, Subtraction, Lengths, Weights and Comparisons, Time, Money, Geometrical Shapes and Solids. |
10 |
1 |
10 |
Section 3 -Everyday Mathematics |
Syllabus as per Section-2. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions - Syllabus as per Section-2 |
5 |
2 |
10 |
Total = 35 |
Total = 40 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Patterns, Odd One Out, Measuring Units, Geometrical Shapes, Analogy, Ranking Test, Grouping of Figures, Embedded Figures, Coding-Decoding. |
10 |
1 |
10 |
Section 2 -Mathematical Reasoning |
Numerals, number names, Number Sense (3-digit Numbers), Computation Operations, Length, Weight, Capacity, Time, Temperature, Money, Lines, Shapes and Solids, Pictographs, Patterns. |
10 |
1 |
10 |
Section 3 -Everyday Mathematics |
Syllabus as per Section 2. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions- Syllabus as per Section 2. |
5 |
2 |
10 |
Total = 35 |
Total = 40 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
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, Possible Combinations, Clock and Calendar. |
10 |
1 |
10 |
Section 2 -Mathematical Reasoning |
Numerals, Number Names, Number Sense (4-digit numbers), Computation Operations, Fractions, Length, Weight, Capacity, Temperature, Time, Money, Geometry, Data Handling. |
10 |
1 |
10 |
Section 3 -Everyday Mathematics |
Syllabus as per Section 2. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions - Syllabus as per Section – 2. |
5 |
2 |
10 |
Total = 35 |
Total = 40 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Patterns, Alphabet Test, Coding-Decoding, Ranking Test, Mirror Images, Geometrical Shapes and Solids, Embedded Figures, Direction Sense Test, Possible Combinations, Analogy and Classification, Clock and Calendar. |
10 |
1 |
10 |
Section 2 -Mathematical Reasoning |
Numerals, 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. |
10 |
1 |
10 |
Section 3 -Everyday Mathematics |
Syllabus as per Section 2. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions - Syllabus as per Section–2. |
5 |
2 |
10 |
Total = 35 |
Total = 40 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
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, Clock and Calendar. |
15 |
1 |
15 |
Section 2 -Mathematical Reasoning |
Numerals, Number Names, 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. |
20 |
1 |
20 |
Section 3 -Everyday Mathematics |
Syllabus as per Section-2. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions - Syllabus as per Section-2. |
5 |
3 |
15 |
Total = 50 |
Total = 60 |
Section |
Topics |
NO. OF Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Verbal and Non-Verbal Reasoning. |
15 |
1 |
15 |
Section 2 -Mathematical Reasoning |
Knowing Our Numbers, Whole Numbers, Playing with Numbers, Basic Geometrical Ideas, Understanding Elementary Shapes, Integers, Fractions, Decimals, Data Handling, Mensuration, Algebra, Ratio and Proportion. |
20 |
1 |
20 |
Section 3 -Everyday Mathematics |
Syllabus as per Section - 2. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions - Syllabus as per Section – 2. |
5 |
3 |
15 |
Total = 50 |
Total = 60 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Verbal and Non-Verbal Reasoning |
15 |
1 |
15 |
Section 2 -Mathematical Reasoning |
Integers, Fractions and Decimals, Exponents and Powers, Algebraic Expressions, Simple Equations, Lines and Angles, Comparing Quantities, The Triangle and its Properties, Symmetry, Rational Numbers, Perimeter and Area, Data Handling, Visualising Solid Shapes. |
20 |
1 |
20 |
Section 3 -Everyday Mathematics |
Syllabus as per Section - 2. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions - Syllabus as per Section – 2. |
5 |
3 |
15 |
Total = 50 |
Total = 60 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Verbal and Non-Verbal Reasoning. |
15 |
1 |
15 |
Section 2 -Mathematical Reasoning |
Rational Numbers, Squares and Square Roots, Cubes and Cube Roots, Exponents and Powers, Comparing Quantities, Algebraic Expressions, Linear Equations in One Variable, Understanding Quadrilaterals, Mensuration, Data Handling, Direct and Inverse Proportions, Factorisation, Introduction to Graphs. |
20 |
1 |
20 |
Section 3 -Everyday Mathematics |
Syllabus as per Section - 2. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions - Syllabus as per Section – 2. |
5 |
3 |
15 |
Total = 50 |
Total = 60 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Verbal and Non-Verbal Reasoning. |
15 |
1 |
15 |
Section 2 -Mathematical Reasoning |
Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals, Circles, Heron’s Formula, Surface Areas and Volumes, Statistics. |
20 |
1 |
20 |
Section 3 -Everyday Mathematics |
The syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions - Syllabus as per Section – 2. |
5 |
3 |
15 |
Total = 50 |
Total = 60 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Verbal and Non-Verbal Reasoning. |
15 |
1 |
15 |
Section 2 -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, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability. |
20 |
1 |
20 |
Section 3 -Everyday Mathematics |
The syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Higher Order Thinking Questions - Syllabus as per Section – 2. |
5 |
3 |
15 |
Total = 50 |
Total = 60 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Verbal and Non-Verbal Reasoning. |
15 |
1 |
15 |
Section 2 -Mathematical Reasoning |
Sets, Relations and Functions, Logarithms, Complex Numbers & Quadratic Equations, Linear Inequalities, Sequences and Series, Trigonometry, Straight Lines, Conic Sections, Permutations and Combinations, Binomial Theorem, Statistics, Limits and Derivatives, Probability, Introduction to 3-D Geometry. OR 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.
|
20 |
1 |
20 |
Section 3 -Everyday Mathematics |
The syllabus of this section will be based on the syllabus of Quantitative Aptitude. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Sets, Relations and Functions, Sequences and Series, Permutations and Combinations, Limits and Derivatives, Straight Lines, Circles, Parabola, Probability. |
5 |
3 |
15 |
Total = 50 |
Total = 60 |
Section |
Topics |
No. of Questions |
Marks/Question |
Total marks |
Section 1 - Logical Reasoning |
Verbal and Non-Verbal Reasoning. |
15 |
1 |
15 |
Section 2 -Mathematical Reasoning |
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 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. |
20 |
1 |
20 |
Section 3 -Everyday Mathematics |
The syllabus of this section will be based on the syllabus of Quantitative Aptitude. |
10 |
1 |
10 |
Section 4 - Achievers Section |
Matrices, Determinants, Application of Derivatives, Integration, Application of Integrations, Differential Equations, Linear Programming, Probability. |
5 |
3 |
15 |
Total = 50 |
Total = 60 |
IMO Exam Pattern 2025 | ||||
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 |