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    IOQM 2025 Question Paper with Solutions Out – Download Answer Key PDF
    • School Exams
    • IOQM 2025 Question Paper with Solutions Out – Download Answer Key PDF

    IOQM 2025 Question Paper with Solutions Out – Download Answer Key PDF

    #IOQM
    Vishal kumarUpdated on 03 Oct 2025, 10:53 AM IST

    The Indian Olympiad Qualifier in Mathematics (IOQM) 2025 is one of the most prestigious mathematics examinations for high school students in India. The IOQM Exam has been organised by the Homi Bhabha Centre for Science Education (HBCSE) on behalf of the National Board for Higher Mathematics (NBHM), which functions under the Department of Atomic Energy (DAE), Government of India. The IOQM 2025 exam was conducted on 7 September 2025 in offline mode across India.
    Download - IOQM 2025 Question Paper PDF | IOQM 2025 Answer Key PDF

    This Story also Contains

    1. IOQM 2025 Exam Highlights
    2. IOQM Question Paper 2025: Download PDF
    3. IOQM 2025 Answer key and Solution: Download PDF
    4. IOQM 2025 Paper Analysis
    5. How to Download IOQM Question Paper 2025-26?
    6. IOQM 2025 Question Paper Structure
    7. Preparation Tips for IOQM Exam 2025
    IOQM 2025 Question Paper with Solutions Out – Download Answer Key PDF
    ioqm question paper

    Candidates who are looking for the IOQM answer key, question paper and solution can find the complete question paper, answer key, and detailed solutions here. It will be helpful for students who appeared in the exam as well as those who are planning for future attempts. Every year, lakhs of students appear in the IOQM with the dream of qualifying for the Indian National Mathematical Olympiad (INMO) and finally representing India in the International Mathematical Olympiad (IMO).

    In this article, students will find a detailed overview of the IOQM 2025 question paper, along with the IOQM answer key and solutions, the IOQM exam pattern, and preparation tips for future aspirants.

    IOQM 2025 Exam Highlights

    Students can check the key details of the IOQM 2025 exam, such as date, mode, duration, and pattern in the table below.

    Particulars

    Details

    Exam Name

    Indian Olympiad Qualifier in Mathematics (IOQM) 2025

    Conducting Body

    Homi Bhabha Centre for Science Education (HBCSE) on behalf of the National Board for Higher Mathematics (NBHM)

    Exam Date

    September 7th, 2025

    Mode of Exam

    Offline (pen and paper)

    Duration

    3 hours

    Number of Questions

    30

    Question Type

    Subjective and Integer Answer Type

    Level

    Class 8 - 12 Mathematics

    Next Stage

    INMO 2025

    IOQM Question Paper 2025: Download PDF

    The IOQM 2025 paper was concluded successfully. Students must download the IOQM Question Paper 2025 by clicking on the link given below. The IOQM 2025 question paper PDF is given for all the sets, i.e. M1, M2, M3 and M4 in English and Hindi.


    Date
    Title Question Paper
    September 7, 2025IOQM 2025 Question Paper (in English)- All Sets
    Download PDF
    September 7, 2025
    IOQM 2025 Question Paper (in Hindi)- All Sets
    Download PDF
    September 28, 2025IOQM 2025 Question Paper (in English)- All Sets
    Download PDF
    September 28, 2025IOQM 2025 Question Paper (in Hindi)- All SetsDownload PDF

    IOQM 2025 Answer key and Solution: Download PDF

    The OQM 2025 answer key is given below. The student can check the answer key with a detailed solution of IOQM 2025. The complete IOQM 2025 answer key for all the sets M1, M2, M3 and M4 is given in a single PDF. Match your answer with the official IOQM 2025 answer key and calculate your estimated score before the IOQM 2025 result.

    IOQM Answer Key 2025 (September 7, 2025)

    Download PDF
    IOQM Answer Key 2025 (September 28, 2025)Download PDF
    IOQM 2025 SolutionDownload PDF


    IOQM 2025 Answer Key

    Click on the link given above to download the IOQM 2025 answer key with detailed solutions. The IOQM answer key 2025 and solution are prepared by the subject expert of Careers360. This IOQM 2025 answer key will help to calculate the total marks of the paper by matching with the correct answer.

    Also, Check- IOQM Cutoff

    IOQM 2025 Paper Analysis

    • Total Questions: 30

    • Format: All questions are single correct integer-type answers (like standard IOQM).

    • Difficulty Progression:

      • Q1–Q10 → Mostly introductory/moderate, arithmetic, combinatorics, geometry.

      • Q11–Q20 → Intermediate to advanced, involving combinatorics, functional equations, number theory.

      • Q21–Q30 → High-level Olympiad-style, requiring deep insights in algebra, geometry, sequences, and number theory.

    Topic-wise IOQM 2025 Question Paper Analysis

    TopicSub-Topics Covered

    Question Numbers

    Arithmetic / Algebra BasicsPercentages, quadratic forms, inequalities, polynomial remainders, rational approximations, expressions

    Q1, Q8, Q14, Q16, Q21, Q25

    Number TheoryDivisibility, gcd/lcm, digit problems, modular arithmetic, perfect squares & cubes, Diophantine equations

    Q2, Q5, Q10, Q12, Q13, Q19, Q20, Q28, Q30

    Geometry & MensurationRectangles & triangles, quadrilaterals, circles, polygons, cylinders, parallelogram properties

    Q3, Q4, Q6, Q9, Q15, Q17, Q18, Q22, Q26, Q27

    Combinatorics / CountingColouring problems, derangements (envelopes), pairings, permutations, strategy games

    Q7, Q11, Q19, Q23, Q24, Q27

    Sequences & Series / FunctionsFunctional equations, averages of sequences, periodic functionsQ13, Q20, Q29

    Question-Wise IOQM 2025 Paper Difficulty Analysis

    Difficulty LevelDescription

    Question Numbers

    EasyStraightforward, warm-up type, solvable with school-level methods

    Q1, Q2, Q3, Q4, Q5

    ModerateRequire some Olympiad-style thinking but manageable

    Q6, Q7, Q8, Q9, Q10, Q11, Q12, Q14

    ChallengingMulti-step reasoning, advanced problem-solving, typical RMO-level

    Q13, Q15, Q16, Q17, Q18, Q19, Q20, Q25

    Very ChallengingDeep insight, higher Olympiad-level (INMO-type)

    Q21, Q22, Q23, Q24, Q26, Q27, Q28, Q29, Q30

    How to Download IOQM Question Paper 2025-26?

    Students can follow the steps to download the IOQM question paper 2025-26.

    • Students can check the table given below and click on the relevant link of the IOQM Question Paper 2025-26.

    • Students will get redirected to Careers360’s question paper store.

    • Now, log in using your credentials, such as ID and password.

    • Students can download the IOQM question papers and take a printout of the PDF.

    • The IOQM 2025 Question Paper will be downloaded to the device.

    IOQM 2025 Question Paper Structure

    The IOQM 2025 paper followed the standard Olympiad pattern. The distribution was as follows:

    • There will be 30 questions in total.

    • The IOQM Questions will test knowledge in Algebra, Number Theory, Geometry, Combinatorics, and Arithmetic.

    • The first 15 questions were comparatively easier, which aimed at building confidence.

    • The next 15 will require deeper problem-solving and creative thinking.

    • There is no negative marking in the IOQM Exam.

    Preparation Tips for IOQM Exam 2025

    1. Master the basics: Students must have a strong foundation in algebra, number theory, and geometry.

    2. Solve IOQM previous year question papers: Students must solve at least 5 years of previous IOQM papers, which should be practised.

    3. Time management: Students must allocate 3 hours of mock practice to know the real conditions.

    4. Focus on accuracy: Since there is no negative marking in the IOQM Exam, students must attempt all questions carefully.

    5. Revise Mistakes: Students are advised to revise incorrect answers to avoid repeating them.

    Also check,

    Frequently Asked Questions (FAQs)

    Q: What is the IOQM 2025 cutoff?
    A:

    To know the IOQM 2025 cutoff, check this page- https://school.careers360.com/articles/ioqm-cut-off

    Q: How many questions will be asked in IOQM 2025?
    A:

    There was a total of 30 questions in the IOQM Exam.

    Q: Where can students download the IOQM 2025 paper?
    A:

    Students can download the IOQM Question Paper from this Careers360 page.

    Q: How to download IOQM 2025 answer key?
    A:

    Students can download the IOQM 2025 answer key and solution from this page.

    Q: When was IOQM 2025 conducted?
    A:

    The IOQM 2025 Exam was conducted on 7 September 2025 in offline mode across the country in different exam centres.

    Q: Can Class 8 students appear in the IOQM Exam?
    A:

    Yes, the IOQM Exam is open for Class 8 to 12 students.

    Q: Is there negative marking in the IOQM Exam?
    A:

    No, there is no negative marking in the IOQM Exam.

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    Questions related to IOQM

    On Question asked by student community

    Have a question related to IOQM ?

    Hello aspirant,

    To write PRMO exam you born on or after Aug 1,2000 and studying in 8,9,10,11 or 12 are eligible to write  PRMO Exam.Further candidate must be a Indian.

    I hope i answered your query,

    Good luck!!

    Sudhanshu, the cutoff of PRMO varies every year and it also differs from state to state. Upto 300 students from class 8 to 11 and about 60 students from class 12 are selected for the next round from each state/ region. Please mention your region so that I can answer

    No, you have not qualified PRMO this year. As the marks that you have scored in the exam is 10 and the cutoff of Class 12th for KVS region is 13 marks.

    To download the list of Qualified students of Class 12th from KVS Region, kindly use the link provided