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IOQM 2025 Question Paper with Solutions Out – Download Answer Key PDF
#IOQM
The Indian Olympiad Qualifier in Mathematics (IOQM) is one of the most prestigious mathematics examinations for high school students in India. The IOQM 2025 exam was conducted on September 7, 2025, in offline mode across India. The IOQM exam was conducted by 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.
This Story also Contains
- IOQM 2025 Exam Highlights
- How to Download IOQM Question Paper 2025-26?
- IOQM Question Paper 2025: Download PDF
- IOQM 2025 Answer Key: Download PDF
- IOQM 2025 Paper Analysis
- IOQM 2025 Question Paper Structure
- Preparation Tips for IOQM Exam 2025
Candidates who are looking for the IOQM question paper and answer key from this page. It will be helpful for students who appeared in the exam as well as those who are planning to write in the upcoming year. 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).
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 |
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 for the IOQM Question Paper 2025-26.
Students will be redirected to Careers360’s question paper store.
Now, log in using your credentials, such as your 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.
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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 available for all the sets, i.e. M1, M2, M3 and M4, in English and Hindi.
Date | Title | Question Paper |
| September 7, 2025 | IOQM 2025 Question Paper (in English)- All Sets | Download PDF |
| September 7, 2025 | IOQM 2025 Question Paper (in Hindi)- All Sets | Download PDF |
| September 28, 2025 | IOQM 2025 Question Paper (in English)- All Sets | Download PDF |
| September 28, 2025 | IOQM 2025 Question Paper (in Hindi)- All Sets | Download PDF |
IOQM 2025 Answer Key: Download PDF
The IOQM 2025 answer key is given below. The complete IOQM 2025 answer key for all the sets M1, M2, M3 and M4 is given in a single PDF. Match your answers 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 Paper Analysis
Check the IOQM paper analysis, which is given in the table below:
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 |
IOQM 2025 Question Paper Structure
The IOQM 2025 paper followed the standard Olympiad pattern. The distribution was as follows:
There were 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 and 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 get used to 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
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
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