UPSC Mathematics Optional Paper 2025 Out, Download Paper 1 PDF

Mathematics is one of the 48 optional subjects in the UPSC Mains Exam 2025. The UPSC Mathematics Optional Paper 2025 which is held on 31st August 2025 consisting of two papers - Paper 1 and Paper 2 covering topics such as linear algebra, analytical geometry, calculus, vector analysis, and differential equations.

For candidates with a strong academic background in mathematics, this subject is often considered a scoring optional due to its objective nature and clear solutions. Once the exam is held, the UPSC Mathematics Optional Paper 2025 will be made available here for download to help aspirants analyze the latest trends and question patterns.

Also Check: UPSC Mains Optional Question Paper 2025

UPSC Mathematics Optional Paper 2025

UPSC Mathematics Optional Paper 2025 is often considered a strong choice for candidates with a solid grasp of the subject, as the questions are less subjective compared to other optionals. 

The UPSC Mathematics Optional Paper 2025 was held on August 31st, 2025, conducted in two sessions morning (09:00 AM to 12:00 PM) and afternoon (02:30 PM to 05:30 PM). Each paper carried 250 marks, making the total for the optional subject 500 marks. Below is an overview of the UPSC Mathematics Optional Paper 2025:

Also Check: UPSC Mains Question Paper 2025

UPSC Mathematics Optional Paper 2025 Download PDF

The UPSC Mathematics Optional Paper 2025 took place on August 31st, 2025. Candidates can access and download the question papers directly from this page. We’ve shared the PDF links for both Paper 1 and Paper 2, which serve as an important resource for preparation. Going through these papers will help aspirants analyze the type of questions asked and get familiar with the exam pattern. Check the download links for the UPSC Mathematics Optional Paper 2025 below:

UPSC Mathematics Optional Paper 2025 - Paper 1
UPSC Mathematics Optional Paper 2025 - Paper 2

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UPSC Mathematics Optional Previous Year Papers

The following table provides year-wise UPSC Mathematics Optional Previous Year Papers. Aspirants can use these papers to understand the exam format, practice answer writing, and identify recurring themes in the syllabus.

Also Check: UPSC Indian Language Paper 2025

Mathematics as an Optional Subject

• Mathematics is one of the few subjects where answers are either right or wrong, which makes it highly scoring if concepts are clear.
• Unlike essay-type subjects, most questions are direct and formula-based, reducing the scope of ambiguity.
• The syllabus doesn’t change with current affairs, so once you prepare it thoroughly, revisions become more structured and predictable.
• Since fewer aspirants pick Mathematics, the competition is narrower compared to popular humanities subjects. This can work in your favor if you’re well-prepared.
• Marking is objective. If your steps and answers are correct, you score; there’s little room for subjectivity.
• With the CSAT paper getting tougher, a mathematics background helps in solving data interpretation, reasoning, and numerical questions faster, giving you an edge.