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Indian Olympiad Qualifier in Mathematics (IOQM) Sample Paper 4

Last updated date: 22nd May 2024
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IOQM Sample Paper 4 Free PDF Download

The Homi Bhabha Centre for Science Education (HBCSE) organises the Mathematical Olympiad Program in India, which prepares students from India to compete in the International Mathematical Olympiad (IMO), on behalf of the National Board for Higher Mathematics (NBHM), GOI. This initiative is one of the most important projects conducted by the NBHM to identify mathematical talent in pre-university students throughout the country. Until last year, there were two separate tests, PRMO (first stage) and RMO (second stage), which were combined to form IOQM (Indian Olympiad Qualifier in Mathematics). Due to the pandemic, PRMO and RMO collaborated to create IOQM, which was intended to ease student stress for participation in IOQM. 

In this article, we have provided IOQM Sample Paper 4 for students who are preparing for IOQM 2023-24 Exam. The IOQM Sample Papers contains high-quality content created by our subject experts. These questions and solutions are written after thoroughly studying the pattern of PYQP and this IOQM Sample Paper 4 will definitely give you experience of the real exam. Read the entire article to know more about IOQM Exam, Syllabus and Sample Papers.

IOQM Overview

Name of the Scholarship Exam

Pre-Regional Mathematical Olympiad

Commonly known as

PRMO exam (now known as IOQM)

Exam Conducting Body

Mathematics Teachers’ Association

Exam Date

September 3, 2023  

Time: 10:00 AM to 1:00 PM (IST)



Number of Stages



Students from class 8th to 12th

Number of Students to be selected for RMO

Classes 8 to 11 - 300 students

Class 12 - 60 students


English & Hindi

Mode of Application


Application Fee (General)

Rs 200 (Offline)

Mode of Exam


Exam Duration

3 hours or 180 minutes

IOQM Syllabus 

  • Trigonometry

  • Geometry

  • Probability Theory

  • System of Linear Equations

  • Inequalities

  • Permutations and Combination

  • Finite Series and Complex Numbers

  • Coordinate Geometry

  • Arithmetic of Integers

  • Quadratic Equations and Expressions

  • Number Theory

  • Elementary Graph Theory

  • Elementary Combinatorics

  • Factorisation of Polynomial.

IOQM Syllabus - Class Wise (8, 9, 10, 11)


IOQM Exam Syllabus

Class 8

  • Geometry

  • Rational Numbers

  • Linear Equations in One Variable

  • Algebraic Expression

  • Permutations and Combination

  • Square root & Cube Root

  • Factorisation

  • Elementary Graph Theory

Class 9

  • Number System

  • Polynomials

  • Coordinate Geometry

  • Probability

  • Linear Equations in Two Variables

  • Surface Area & Volume

  • Circles

  • Areas of Parallelograms and Triangles

Class 10

  • Real Numbers

  • Trigonometry

  • Quadratic Equation

  • Arithmetic Progression

  • Coordinate Geometry

  • Inequalities

  • Surface Area & Volume

  • Circles

  • Linear Equation in Two Variables

Class 11

  • Permutations and Combination

  • Trigonometric Functions

  • Finite series and Complex Numbers

  • Sequence & Series

  • Mathematical Reasoning

  • Quadratic Equations and Expressions

  • Probability Theory

  • Number Theory

  • Factorisation of Polynomial

  • Coordinate Geometry

IOQM Exam Pattern


3 hours

Total marks


Negative marking


OMR-based exam


Composition of the Paper

  • 10 Questions of 2 Marks each

  • 12 Questions of 5 Marks each

  • 2 Questions of 10 Marks each

Benefits of the IOQM Sample Paper 4

  • The best way to study is to read-revise-repeat. The IOQM Sample Paper 4 is categorised as "revise." The more we revise, the better we become.

  • Solving IOQM Sample Papers improves preparation and relieves stress.

  • The sample paper will be the same as the original question paper. They are created on the most recent syllabus and pattern. In other words, students become familiar with the updated format. So,  they have a general idea of the paper pattern.

  • After solving a few IOQM Sample Papers, you'll know which sections are your strengths and which are your weaknesses, as well as which topics in a particular section are easier.

  • These are important for academic success. The sample papers allow students to monitor their progress. They can evaluate their preparations and see what needs to be revised. It also helps students improve their time management skills.

Preparation Tips for IOQM Exam 2023-24

The following are a few preparation tips for students gearing up for IOQM 2023-24.

  • While studying for the exam, students must learn the main topics of each section.

  • Students must have a clear understanding of how to cover the entire curriculum.

  • You must adhere to a proper revision procedure.

  • It is important that you complete the curriculum well before the exam.

  • You can solve a number of sample papers to help you score well on the exam.

  • You should allow yourself enough time to work on your weaknesses.

More IOQM Sample Papers for Practise


The sample question papers provide students with an understanding of the marking scheme and question pattern. It removes confusions about the types of questions, topics, mark distribution, and so on. So, practise for IOQM Exam 2023-24 with IOQM Sample Paper 4 and score better marks in the examination. 

FAQs on Indian Olympiad Qualifier in Mathematics (IOQM) Sample Paper 4

1. How many questions will be there in IOQM Sample Paper 4?

There are 10 questions in IOQM Sample Paper 4 for 34 marks which are designed and solved by subject experts at Vedantu, However, students must note that the exam will be conducted for 100 marks. 

2. On which date will the IOQM Exam be held for the year 2022-23?

The IOQM Exam will be held on 30th Oct 2022. Since the exam is very near, we would like to suggest for all the students to prepare with IOQM Sample Papers to score well in the exam.

3. How will IOQM Sample Paper 4 be helpful for students?

IOQM Sample Paper 4 is recreated using the IOQM exam pattern. The primary goal of IOQM Sample Paper 4 is to evaluate students' skills ahead of the actual exam. It boosts confidence and helps students understand the types of questions on the final exam.

4. Can I get IOQM Sample Paper 4 for free?

Yes, the IOQM Sample Paper 4 is absolutely free for all students. Any student can access IOQM Sample Paper 4 with just a click from anywhere in the world.

5. Who is eligible to take the RMO Exam? Is IOQM and RMO the same Exam?

Before the pandemic, there were five stages to qualify for the Mathematics Olympiad exam. There were two independent stages until 2021, the PRMO first stage & RMO second stage. Candidates who qualified for the Pre-Regional Mathematical Olympiad (PRMO) may apply for the RMO. PRMO and RMO have now merged to form IOQM (Indian Olympiad Qualifier in Mathematics).