IOQM 2025 Question Paper with Solutions Out – Download Answer Key PDF
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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
- IOQM 2025 Exam Highlights
- IOQM Question Paper 2025: Download PDF
- IOQM 2025 Answer key and Solution: Download PDF
- IOQM 2025 Paper Analysis
- How to Download IOQM Question Paper 2025-26?
- IOQM 2025 Question Paper Structure
- Preparation Tips for IOQM Exam 2025
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. IOQM 2025 question paper PDF is given for all the sets, i.e. M1, M2, M3 and M4 in English and hindi.
| IOQM 2025 Question Paper (in English)- All Sets | Download PDF |
| IOQM 2025 Question Paper (in Hindi)- All Sets | Download 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 are 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 | Download PDF |
| IOQM 2025 Solution | Download PDF |
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
| Topic | Sub-Topics Covered | Question Numbers |
| Arithmetic / Algebra Basics | Percentages, quadratic forms, inequalities, polynomial remainders, rational approximations, expressions | Q1, Q8, Q14, Q16, Q21, Q25 |
| Number Theory | Divisibility, gcd/lcm, digit problems, modular arithmetic, perfect squares & cubes, Diophantine equations | Q2, Q5, Q10, Q12, Q13, Q19, Q20, Q28, Q30 |
| Geometry & Mensuration | Rectangles & triangles, quadrilaterals, circles, polygons, cylinders, parallelogram properties | Q3, Q4, Q6, Q9, Q15, Q17, Q18, Q22, Q26, Q27 |
| Combinatorics / Counting | Colouring problems, derangements (envelopes), pairings, permutations, strategy games | Q7, Q11, Q19, Q23, Q24, Q27 |
| Sequences & Series / Functions | Functional equations, averages of sequences, periodic functions | Q13, Q20, Q29 |
Question-Wise IOQM 2025 Paper Difficulty Analysis
| Difficulty Level | Description | Question Numbers |
| Easy | Straightforward, warm-up type, solvable with school-level methods | Q1, Q2, Q3, Q4, Q5 |
| Moderate | Require some Olympiad-style thinking but manageable | Q6, Q7, Q8, Q9, Q10, Q11, Q12, Q14 |
| Challenging | Multi-step reasoning, advanced problem-solving, typical RMO-level | Q13, Q15, Q16, Q17, Q18, Q19, Q20, Q25 |
| Very Challenging | Deep 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
Master the basics: Students must have a strong foundation in algebra, number theory, and geometry.
Solve IOQM previous year question papers: Students must solve at least 5 years of previous IOQM papers, which should be practised.
Time management: Students must allocate 3 hours of mock practice to know the real conditions.
Focus on accuracy: Since there is no negative marking in the IOQM Exam, students must attempt all questions carefully.
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 you specifically.
Otherwise you can also go through the past years' cutoff for each region for PRMO (2019 and 2018) from the given link: https://school.careers360.com/articles/prmo-result/amp
For your reference, the highest cutoff marks for classes 8 to 11 was 38 for Andhra Pradesh followed by 28 from Telangana whereas the cutoff for Manipur, Meghalaya, Nagaland and Tripura was 2 marks. Hope it helps.
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 below:
https://static.careers360.mobi/media/uploads/froala_editor/files/PRMO-KV-XII-Result.pdf
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