The NDA Mathematics paper carries 300 marks, focusing heavily on Algebra, Calculus, and Trigonometry, which collectively account for over 65% of the total weightage. Based on our analysis of previous year questions (PYQ), focusing on these high-yield core topics is essential for clearing the sectional cut-off and securing a recommendation.
What is the Exam?
The National Defence Academy (NDA) examination is a prestigious gateway for young aspirants to join the Indian Army, Navy, and Air Force. Conducted biannually by the Union Public Service Commission (UPSC), this exam tests a candidate's aptitude in Mathematics and General Ability (GAT). Mathematics, being the first paper, serves as the primary filter for candidates aiming for the Services Selection Board (SSB) interview stage. We at Exam Bhai view the Mathematics paper not just as a test of formulas, but as a test of precision and speed.
Key Highlights 2026
- Conducting Body: Union Public Service Commission (UPSC)
- Exam Level: National Level Defence Entrance
- Total Marks (Maths): 300 Marks
- Number of Questions: 120 Questions
- Negative Marking: 0.83 marks for each incorrect answer
- Exam Frequency: Twice a year (NDA I and NDA II)
Syllabus 2026
The UPSC prescribed syllabus for NDA Mathematics is vast but follows a consistent pattern. Below is a breakdown of the key topics and their relative importance based on historical trends.
| Unit | Key Topics | Weightage Estimate |
|---|---|---|
| Algebra | Sets, Relations, Functions, Complex Numbers, Quadratic Equations, Progressions | 30-35% |
| Calculus | Differential Calculus, Integral Calculus, Differential Equations | 25-30% |
| Trigonometry | Ratios, Identities, Properties of Triangles, Inverse Functions | 15-20% |
| Analytical Geometry | 2D and 3D Geometry | 10-15% |
| Vector Algebra & Statistics | Vectors, Probability, Statistics | 10-15% |
Exam Pattern
The Mathematics paper is designed to test your conceptual clarity. Each question carries 2.5 marks. To succeed, you must balance accuracy with time management. You can practice previous year NDA Maths papers on Exam Bhai to get familiar with the specific phrasing used by the UPSC.
| Feature | Details |
|---|---|
| Mode of Examination | Pen and Paper (OMR based) |
| Duration | 2.5 Hours |
| Total Questions | 120 |
| Total Marks | 300 |
| Marking Scheme | $+2.5$ for correct; $-0.83$ for wrong |
Eligibility Criteria
Per the official UPSC portal (upsc.gov.in), candidates must meet specific criteria regarding age, nationality, and educational qualifications. Generally, for the Army wing, a 10+2 pass is sufficient, whereas for the Air Force and Naval wings, candidates must have studied Physics and Mathematics in their 10+2 curriculum.
Application Process
Candidates must register via the official UPSC website. The process involves two parts: Part I (Basic Information) and Part II (Payment and Centre Selection). We advise aspirants to keep their Aadhar card and academic documents ready during the application window announced on the UPSC portal.
Preparation Strategy
Success in NDA Mathematics relies on systematic revision and PYQ analysis. We recommend a three-pronged approach:
- Conceptual Mastery: Build strong foundations in Algebra and Trigonometry. If you struggle with specific concepts, use our curated study materials to master NDA Mathematics for structured learning.
- PYQ Integration: Treat every past year paper as a mock test. Analyze why you got a question wrong—was it a calculation error or a conceptual gap?
- Speed Building: With 120 questions in 150 minutes, you have roughly 75 seconds per question. You should practice timed sectional tests for Defence exams on Exam Bhai to improve your speed under pressure.
Cut-Off Trends
Cut-offs are determined by the difficulty level of the paper and the number of vacancies, as officially noted on upsc.gov.in. Historically, the sectional cut-off for Mathematics hovers between 25% and 30% of the total marks. However, aiming for the bare minimum is risky; we recommend targeting at least 40-45% to ensure a safe buffer for the final merit list.
Frequently Asked Questions
Q1: Which chapter has the highest weightage in NDA Maths? Algebra usually carries the highest weightage, often contributing 35–40 questions. It is the backbone of the NDA Mathematics paper.
Q2: Is NCERT enough for NDA Mathematics? NCERT is excellent for building basics, but for competitive exams like the NDA, you must supplement it with advanced problem-solving techniques and rigorous PYQ practice.
Q3: How many questions should I attempt to clear the cut-off? To be safe, aim for 60–70 accurately attempted questions. Given the negative marking of $1/3$ per question, precision is more important than quantity.
Q4: Does the syllabus change every year? The core syllabus remains stable, though the difficulty level of questions can fluctuate based on the UPSC's current testing philosophy.
Q5: Can I skip Calculus if I am weak in it? While possible, we strongly advise against it. Calculus is a high-scoring section; even mastering basic differential and integral concepts can significantly boost your final score.
Q6: Where can I find official previous year questions? While you can find them on the UPSC website, we recommend using our integrated platform to access categorized PYQs for targeted improvement.
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