The Union Public Service Commission (UPSC) has released the official Mathematics Question Paper for the National Defence Academy (NDA) and Naval Academy (NA) Examination (II), 2025. Candidates who appeared for the written examination can now download the Mathematics paper PDF directly from the official UPSC website. This release is especially helpful for future aspirants who wish to understand the question pattern, difficulty level, and weightage of topics for upcoming NDA exams.
I am writing about this because NDA aspirants often rely on past papers to refine their preparation. Mathematics plays a crucial role in the NDA written exam as it not only carries significant weight but also helps determine overall merit. By analysing the 2025 paper, candidates can identify recurring topics, question trends, and areas that need more focus. For anyone aiming for NDA 2026, this is an invaluable study resource.
NDA & NA (II) 2025 Mathematics Paper – Overview
The Mathematics Paper in the NDA & NA Examination tests a candidate’s analytical ability, numerical accuracy, and conceptual clarity. The exam is designed to assess not just mathematical knowledge, but also the ability to apply logic under time pressure — a skill essential for future officers in the Armed Forces.
| Particulars | Details |
|---|---|
| Exam Name | National Defence Academy & Naval Academy Examination (II), 2025 |
| Conducting Authority | Union Public Service Commission (UPSC) |
| Paper Name | Mathematics |
| Paper Type | Objective (Multiple Choice Questions) |
| Total Marks | 300 |
| Duration | 2 hours 30 minutes |
| Medium | English |
| Official Website | www.upsc.gov.in |
Structure of the Mathematics Paper
The NDA Mathematics paper carries a total of 300 marks and includes 120 questions. Each question carries 2.5 marks, and for every wrong answer, 0.83 marks are deducted as negative marking.
The key areas covered in the paper are:
- Algebra
- Matrices and Determinants
- Trigonometry
- Analytical Geometry (2D and 3D)
- Differential Calculus
- Integral Calculus and Differential Equations
- Vector Algebra
- Statistics and Probability
The questions are set at the level of Class 11 and 12 Mathematics, following the NCERT syllabus. However, UPSC often tests conceptual understanding rather than direct formula-based problem-solving.
How to Download the NDA (II) 2025 Mathematics Question Paper
Candidates who wish to download the NDA Mathematics Question Paper can follow these steps:
- Visit the official UPSC website – www.upsc.gov.in.
- Navigate to the Examinations tab on the homepage.
- Click on Previous Question Papers.
- Look for National Defence Academy and Naval Academy Examination (II), 2025.
- Under the list of papers, click on Mathematics Paper.
- The PDF will open on your screen — download or print it for your reference.
The PDF is available free of cost, and no login is required to access it
N.B: If you want to download the question paper without any difficulty, you can easily download it by clicking here.


















