The Civil Services (Main) Examination is one of the toughest competitive exams in India, and Mathematics as an optional paper always carries a reputation for lengthy but scoring questions. Many aspirants look for the official question paper immediately after the exam to analyse the pattern and understand the weightage of each topic. So in this post, I am sharing all the essential details along with the download link for the UPSC CSE 2025 Mathematics Paper-I question paper.
I decided to write about this topic because every year, thousands of aspirants search for reliable and clear information about the Maths optional papers. Having the original question paper helps candidates understand how UPSC structures its problems, whether the paper is more conceptual, whether the weightage shifts from calculus to algebra, and how to plan their preparation strategy. Many coaching centres release their own analyses, but the actual question paper gives the most accurate picture. Students who plan to appear in 2026 or later also use previous papers to practise solving under time pressure. For this reason, it becomes important to provide a clean, easy-to-access version of the question paper along with a simple explanation of what aspirants should focus on.
About the Mathematics Paper-I
Mathematics Paper-I in UPSC CSE Mains is known for its detailed problems that test conceptual clarity and logical application. The paper carries a total of 250 marks and covers topics such as Linear Algebra, Calculus, Analytic Geometry, Ordinary Differential Equations and Vector Analysis.
Candidates often find Paper-I manageable if they have a strong foundation because unlike humanities subjects, Maths questions are not subjective. Marks are awarded based on steps and accuracy.
Key Highlights of the 2025 Paper
Although the marking pattern remains the same every year, the difficulty level and question mix may vary. Based on the structure of previous years, here are the typical expectations:
- Questions are divided into two sections, Section A and Section B
- Each section contains four questions
- Candidates must attempt five questions in total
- Question 1 and Question 5 are compulsory (one from each section)
- The remaining three questions can be chosen from the remaining options
Why This Question Paper Matters
Having access to the official question paper helps aspirants:
- Understand the trend in difficulty level
- Identify which topics are repeatedly asked
- Practise solving real exam-style questions
- Analyse the complexity of numerical calculations
- Prepare a strategy for time management
Previous toppers often emphasise that solving at least the last 10 years’ papers is essential for boosting confidence.
Question Paper Pattern at a Glance
| Section | Type of Questions | Main Topics |
|---|---|---|
| Section A | Compulsory + Optional | Linear Algebra, Calculus, Analytic Geometry |
| Section B | Compulsory + Optional | ODEs, Vector Analysis, Real Analysis |
| Total Marks | 250 | |
| Duration | 3 Hours |
Mathematics Paper-I 2025 PDF Download
Aspirants can easily download the official Maths Paper-I question paper from the UPSC website. Here is how you can do it:
- Visit the official UPSC website
- Go to the “Examinations” section
- Click on “Previous Question Papers”
- Select “Civil Services (Main) Examination 2025”
- Look for “Mathematics Optional Paper-I”
- Click on the PDF link and download the file to your system
N.B: If you want to download the question paper without any difficulty, you can easily download it by Click Here.
It is always better to save the question paper in a folder where you keep all your study material so that you can refer to it anytime.
