The official NDA 1 2026 Mathematics question paper PDF is released by the Union Public Service Commission (UPSC) shortly after the exam concludes. Candidates can download the authentic PDF directly from the official UPSC website at upsc.gov.in. We recommend verifying your answers against official answer keys to assess performance.
What is the Exam?
The National Defence Academy (NDA) examination is a prestigious, gateway entrance test conducted by the Union Public Service Commission (UPSC) for admission into the Army, Navy, and Air Force wings of the NDA. As seasoned strategists at Exam Bhai, we identify this as one of the most competitive defence exams in India, testing not just academic aptitude but also leadership potential and physical fitness. The Mathematics paper is a critical component of the Written Examination, carrying significant weightage that determines a candidate's qualification for the SSB Interview stage.
Key Highlights 2026
- Conducting Body: Union Public Service Commission (UPSC)
- Examination Level: National Level
- Mode of Exam: Pen and Paper (Offline)
- Total Marks (Maths): 300 Marks
- Duration: 2.5 Hours
- Frequency: Twice a year (NDA I and NDA II)
- Exam Status: NDA 1 2026 concluded; analysis available for review.
Syllabus 2026
The Mathematics syllabus for NDA is derived from the Class 11 and 12 curriculum, focusing on analytical ability rather than rote learning. Below is the detailed breakdown:
| Section | Major Topics Covered |
|---|---|
| Algebra | Sets, Relations, Functions, Complex Numbers, Quadratic Equations, Sequences and Series, Permutations and Combinations, Binomial Theorem |
| Matrices & Determinants | Algebra of Matrices, Determinant of a Matrix, Inverse of a Matrix, Solution of linear equations |
| Trigonometry | Angles and Degrees, Trigonometric Ratios, Inverse Trigonometric functions, Heights and Distances |
| Analytical Geometry | 2D Rectangular Cartesian Coordinates, Straight lines, Circles, Conic sections, 3D Geometry |
| Calculus | Concept of real-valued function, Limits, Continuity, Differentiation, Integration, Differential Equations |
| Vector Algebra | Addition of vectors, Magnitude, Scalar and Vector product, Triple product |
| Statistics & Probability | Classification of data, Frequency distribution, Mean, Median, Mode, Probability, Binomial and Poisson distributions |
Exam Pattern
The Mathematics paper is the first hurdle in the GAT-Maths sequence. Understanding the weightage is vital to mastering your practice free mock tests for Defence on Exam Bhai.
| Feature | Details |
|---|---|
| Total Questions | 120 |
| Marks Per Question | 2.5 |
| Maximum Marks | 300 |
| Negative Marking | -0.83 (1/3 of assigned marks) |
| Language | Bilingual (Hindi and English) |
Success in this section requires balancing speed and accuracy, as negative marking can significantly dent your final score. We advise students to consistently use our advanced analytics to boost performance on Defence exams to identify weak topics early.
Eligibility Criteria
As per the latest guidelines published on upsc.gov.in, candidates must meet specific criteria to be eligible for the NDA 1 2026 exam:
- Nationality: Citizen of India, subject of Nepal/Bhutan, or Tibetan refugees who came to India before Jan 1, 1962, with the intention of settling permanently.
- Age Limit: Candidates must be between 16.5 and 19.5 years old at the commencement of the course.
- Educational Qualification:
- For Army Wing: Class 12th pass from any recognized state board or university.
- For Air Force and Naval Wings: Class 12th pass with Physics, Chemistry, and Mathematics (mandatory) as subjects.
- Physical Standards: Candidates must be physically and mentally fit according to the standards prescribed by the UPSC official notification.
Application Process
The application process is strictly online via the UPSC portal. Candidates must:
- Register on the OTR (One Time Registration) platform at upsc.gov.in.
- Fill in personal details, educational qualifications, and preferred exam center.
- Pay the application fee (exempted for SC/ST and JCOs/NCOs/ORs sons).
- Select the exam preference and confirm the final submission.
Preparation Strategy
We at Exam Bhai emphasize a three-pronged approach for the Mathematics paper:
- Conceptual Foundation: Don't just memorize formulas. Understand the derivation. For topics like Calculus and Algebra, which carry high weightage, deep conceptual clarity is non-negotiable.
- Practice Rigor: You must solve previous year NDA question papers on our dedicated Defence platform. This helps in understanding the UPSC mindset and repeated question patterns.
- Time Management: 120 questions in 150 minutes means you have roughly 75 seconds per question. Learn to skip lengthy questions to prioritize easier ones first.
Cut-Off Trends
The cut-off is determined by the UPSC, and historically, it fluctuates based on the difficulty level of the paper and the number of vacancies. As per official data from upsc.gov.in, the cut-off for the written exam typically hovers between 30% and 35% per subject, but the aggregate score required is usually much higher (around 340-360 out of 900 for the written phase).
Frequently Asked Questions
Q1: Is the NDA 1 2026 maths paper available in PDF format? Yes, the official paper is released on the UPSC website. You can download the PDF once the exam cycle is officially declared closed.
Q2: How much weightage does Algebra carry in the NDA Maths exam? Algebra is the highest-weightage section, often contributing 30-35% of the total questions. It is a must-master topic.
Q3: Is it mandatory to score a minimum in Maths to pass the NDA written exam? Yes, UPSC mandates a minimum qualifying percentage (typically 25-30%) in each paper to be considered for the overall merit list.
Q4: Can I use a calculator during the NDA Maths exam? No, the use of calculators, log tables, or any electronic gadget is strictly prohibited inside the examination hall.
Q5: How many times can a student attempt the NDA exam? There is no limit on the number of attempts, provided the candidate meets the age and educational eligibility criteria set by the UPSC.
Q6: Does the difficulty level change between NDA 1 and NDA 2? Generally, the difficulty level remains consistent across both sessions, though the specific distribution of questions across topics may vary slightly.
Next Steps & Related Links
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