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You can get the comprehensive and accurate details of the IOQM Syllabus 2025 at the PW Blog.
What is the Syllabus for IOQM 2025?
Students should go through the IOQM syllabus as they get ready for IOQM 2025. The IOQM Syllabus comprises the mathematics syllabus for classes 8, 9, 10, 11 and class 12.
What is the mode and duration of IOQM Exam 2025?
The IOQM Exam 2025 is conducted through Pen and Paper Mode and duration of Indian Olympiad Qualifier in Mathematics (IOQM) is 3 hours or 180 minutes.
What is the difficulty level of IOQM 2025?
The difficulty level of Indian Olympiad Qualifier in Mathematics will be moderate.
Is there calculus in the IOQM Exam 2025?
The syllabus for the Indian Olympiad Qualifier in Mathematics (IOQM) encompasses all topics in mathematics except Calculus. However, there are certain essential concepts that every student should master while preparing for the Mathematics Olympiad.
Is IOQM Syllabus same for all the classes?
The main subjects in the IOQM Syllabus remain the same, but the difficulty of the questions changes based on the grade level. The curriculum is structured to suit learners from Classes 8 to 12, featuring questions adjusted to various degrees of complexity.
IOQM Syllabus 2025 includes all mathematical subjects, excluding Calculus for the Olympiad Exam scheduled on 7th September 2025. Grasp the Fundamental Concepts using IOQM Syllabus and Exam Pattern 2025.
Priyanka Dahima29 Jul, 2025
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IOQM Syllabus 2025: The Homi Bhabha Centre for Science Education (HBCSE) has established the IOQM Syllabus 2025. Students should go through the IOQM 2025 syllabus as they get ready for IOQM 2025. The Indian Olympiad Qualifier in Mathematics Syllabus comprises the mathematics syllabus for classes 8, 9, 10, 11 and 12.
In the HBCSE Math Olympiad, the maximum number of questions from the section of algebra, number system, and geometry will be asked. The syllabus for classes 9 and 10 makes up the majority of the Indian Olympiad Qualifier in Mathematics 2025 Syllabus. For IOQM 2025, students should finish the whole IOQM Syllabus as soon as feasible to allow them to review it before the test. The IOQM Syllabus PDF must be kept by the students to review the key subjects regularly.
This IOQM Syllabus covers the foundational topics required for the IOQM 2025, ensuring a comprehensive understanding of various mathematical concepts. Students should carefully review and ensure they meet all the eligibility criteria before applying for IOQM Olympiad. This will help avoid any issues that may arise during the selection process. We will guide you through the IOQM Exam Pattern, question types, and effective strategies. In the below table, we have provided an overview of the IOQM Syllabus 2025.
IOQM Syllabus 2025 Overview
Organization
Indian Association of Physics Teachers (IAPT), the Mathematics Teachers Association of India (MTAI), and the Homi Bhabha Centre for Science Education (affiliated with the Tata Institute of Fundamental Research – HBCSE)
Exam Name
Indian Olympiad Qualifier in Mathematics( IOQM 2025)
The syllabus for the Indian Olympiad Qualifier in Mathematics (IOQM) encompasses a wide range of mathematical topics, excluding calculus. Here is a detailed breakdown of the IOQM syllabus.
IOQM Syllabus
Topic
Description
Arithmetic of Integers
Basic arithmetic operations, properties, and number theory related to integers.
Geometry
Properties and relations of points, lines, surfaces, and solids.
Trigonometry
Study of angles, triangles, and trigonometric functions and their applications.
Inequalities
Mathematical expressions involving greater than, less than, and equal to signs.
Coordinate Geometry
Geometry using a coordinate system, including lines, curves, and shapes.
System of Linear Equations
Solutions and properties of linear equations and their systems.
Permutations and Combinations
Counting techniques involving arrangement and selection of objects.
Factorization of Polynomials
Techniques for breaking down polynomials into simpler components.
Quadratic Equations and Expressions
Solutions and properties of quadratic equations and related expressions.
Elementary Combinatorics
Basic principles of counting, arrangements, and selections.
Finite Series and Complex Numbers
Study of series with a finite number of terms and introduction to complex numbers.
Probability Theory
Concepts and applications of probability.
Number Theory
Properties and relationships of numbers, especially integers.
Elementary Graph Theory
Study of graphs, nodes, edges, and their properties.
IOQM Syllabus - Number Theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions, it includes topics like Prime Numbers, Divisibility, Modular Artihmetic, Diophantine Equations, Number Bases and Arithmetic Functions.
Sub-topic
Concepts
Prime Numbers
Prime factorization, prime counting functions, sieve methods (e.g., Eratosthenes’ sieve), properties of prime numbers.
Divisibility
Divisibility rules, Greatest Common Divisor (GCD), Least Common Multiple (LCM), Euclidean algorithm.
Modular Arithmetic
Congruences and modular arithmetic, residues and non-residues, Chinese Remainder Theorem.
Diophantine Equations
Linear Diophantine equations, Pell’s equation, Fermat’s Last Theorem.
Number Bases
Binary, octal, hexadecimal, and other bases, base conversion.
Arithmetic Functions
Euler’s totient function (φ), Mobius function (μ), number of divisors function (σ), sum of divisors function (σ), Fermat’s Little Theorem, Euler’s Totient Theorem.
IOQM Syllabus - Algebra
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems and is a vital component in the IOQN Examiantion. Topics that need to be covered for the IOQM Alegbra Syllabus are Basic Algebraic Manipulations, Inequalities, Polynomials, Sequence and Series, Functional Equations, Binomial Theorem and Combinatorics and Polynomial Equations.
Sub-topic
Concepts
Basic Algebraic Manipulations
Simplification of algebraic expressions, factorization of polynomials, solving algebraic equations.
Roots and coefficients of polynomial equations, factor theorem, rational root theorem.
IOQM Syllabus - Combinatorics
Combinatorics is a stream of mathematics that concerns the study of finite discrete structures. It deals with the study of permutations and combinations, enumerations of the sets of elements. In the below table you can find the topics that need to be covered unde the IOQM Combinatorics Syllabus 2025
Dirichlet’s principle, application in solving problems.
Recurrence Relations
Linear recurrence relations, homogeneous and non-homogeneous recurrences, solving recurrence relations.
Graph Theory
Basics of graph theory, graph coloring, trees and spanning trees, connectivity and Eulerian graphs, Hamiltonian cycles and paths.
Combinatorial Geometry
Geometric counting problems, theorems like the Sylvester-Gallai theorem.
Generating Functions
Generating functions for combinatorial sequences, operations on generating functions.
Combinatorial Identities
Vandermonde’s identity, hockey stick identity (combinatorial sum), Catalan numbers and other combinatorial sequences.
IOQM Syllabus - Geometry
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Topics to be covered are Euclidean Geometry, Geometric Transformations, Coordinate Geometry, Trigionometry. Below are the topics of IOQM Geometry Syllabus.
Sub-topic
Concepts
Euclidean Geometry
Points, lines, and planes; angle measurement and properties; congruence and similarity of triangles; quadrilaterals (properties and theorems); circles (tangents, secants, angles, and theorems); polygons (properties and interior/exterior angles).
Geometric Transformations
Reflection, rotation, translation, and dilation; isometries and similarities; symmetry and tessellations.
Coordinate Geometry
Distance formula, slope and equations of lines, midpoint formula, conic sections (parabola, ellipse, hyperbola).
Trigonometry
Sine, cosine, tangent, and their properties; trigonometric identities and equations; applications in geometry.
IOQM Exam Syllabus 2025 for All Classes
The class-wise IOQM Exam Syllabus 2025 are provided below. The major sections in the Syllabus for IOQM include Algebra, Number Theory, Combinatorics, and Geometry, with a focus on problem-solving and mathematical reasoning at an advanced school level (Class 8 to 12)
IOQM Syllabus for Class 8
Geometry
Rational Numbers
Linear Equations in One Variable
Algebraic Expression
Permutations and Combination
Square Root & Cube Root
Factorization
Elementary Graph Theory
IOQM Syllabus for Class 9
Number System
Polynomials
Coordinate Geometry
Probability
Linear Equations in two variables
Surface Area & Volume
Circles
Areas of Parallelograms and triangles
IOQM Syllabus for Class 10
Real Numbers
Trigonometry
Quadratic Equation
Arithmetic Progression
Coordinate Geometry
Inequalities
Surface Area & Volume
Circles
Linear Equation in two variables
IOQM Syllabus for Class 11
Permutations and Combination
Trigonometric Reasoning
Quadratic Equations and Expressions
Probability Theory
Number Theory
Factorization of Polynomial
Coordinate Geometry
IOQM Syllabus for Class 12
Coordinate Geometry
Permutations and Combination
Trigonometric Reasoning
Quadratic Equations and Expressions
Probability Theory
Number Theory
Factorization of Polynomial
Integers, geometry
Linear equations
Permutations and combination
Factorization of polynomial
Elementary combinatorics
Probability theory and number theory,
Finite series
IOQM Exam Pattern 2025
The details of the IOQM Exam Pattern 2025 are given below:
There are a total of 30 questions in the question paper.
The IOQM exam will be conducted in pen and paper mode.
Each question must be answered with an integer between 00 and 99. One or two numbers are used to answer each question in Indian Olympiad Qualifier in Mathematics.
IOQM Exam Pattern 2025
Number of Questions
30
Type of Questions
MCQ (Mulitple Choice Questions)
Negative Marking
None
Question Format
Single digit or double digit answer
Duration of Examination
3 hours or 180 minutes
Mode of Examination
Offline
Composition of the Paper
10 Questions of 2 Marks each
12 Questions of 5 Marks each
2 Questions of 10 Marks each
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