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It is imperative that you master the Mathematics subject if you are getting ready for NDA 2 2025. This paper, which has 300 marks, is essential to passing the UPSC written exam. Math is a difficult topic for many applicants, but it can be made into a scoring subject with the correct strategy, consistent practice, and knowledgeable advice from NCA Academy.
This blog will discuss:
Pattern for NDA Math Papers
Full Syllabus Dissection
Method of Preparation by Topic
Typical Errors to Avoid in FAQs
Clever Strategies to Get a Math Score of 200+
Feature | Details |
Total Questions | 120 MCQs |
Total Marks | 300 |
Time | 2.5 Hours |
Marks per Question | 2.5 |
Negative Marking | Yes (0.83 per wrong) |
In order to be eligible for the SSB interview, you need to pass the math sectional cut-off, which often falls between 20% and 25%. However, your standing on the merit list is strengthened if you score 180–200+.
Topic | Expected Questions |
Algebra | 20–25 |
Trigonometry | 15–20 |
Matrices & Determinants | 5–7 |
Analytical Geometry | 10–12 |
Differential Calculus | 10–12 |
Integral Calculus | 8–10 |
Vector Algebra | 5–7 |
Probability & Statistics | 6–8 |
Arithmetic/Number System | 8–10 |
Algebra Topic-Wise Strategy by NCA Academy
Important topics include complex numbers, progressions, quadratic equations, and the binomial theorem.
Advice:
master formulas such as a³±b³ and (a+b)².
Practice surds, indices, and LCM/HCF.
Pay attention to equation and sequence roots.
Trigonometric identities, height and distance, and graphs are important topics in trigonometry.
Advice: Acquire knowledge of all common identities and how to manipulate them.
Practice solving issues using angles expressed in radians and degrees.
Understand every trigonometric value between 0° and 360°.
Determinants and Matrices
Advice: Work on adding, subtracting, and multiplying matrices.
Pay attention to the characteristics and factors of 2×2 and 3×3 matrices.
Understand how to compute a matrix’s inverse.
Geometry in Analysis (2D)
Lines, circles, parabolas, hyperbolas, and ellipses are important topics.
Advice: Pay attention to equations involving slopes and straight lines.
Learn the distance, section, and midpoint formulas.
Circle difficulties are often asked; make sure to thoroughly edit.
Tips for Differential and Integral Calculus: Acquire knowledge of the derivatives of fundamental functions.
Recognize how maxima and minima are applied.
Practice integrals that are both definite and indefinite.
Pay attention to the common integration forms.
Tips for Vector Algebra: Recognize the direction and magnitude of vectors.
Study vector and scalar products.
Answer geometry problems with vectors.
Tips for Statistics and Probability: Know the mean, median, mode, and standard deviation.
Review the fundamental formulas for probability.
Practice the fundamentals of permutation and combination.
Arithmetic and the Number System
Important Topics: Time & Work, Modular Arithmetic, Divisibility, LCM/HCF, and Profit & Loss.
Advice: Review remainders, units, and divisibility laws.
Practice word problem shortcuts and mental math.
WeEk | Topics Covered |
1–2 | Algebra + Number System |
3–4 | Trigonometry + Geometry |
5–6 | Calculus + Vectors |
7–8 | Matrices + Probability + Statistics |
9–10 | Full Revision + Daily Practice Tests |
11–12 | Mock Test Series + Error Analysis |
Smart Tips to Score 200+ in NDA Maths
Common Errors to Steer Clear of
Ignoring the fundamentals of geometry and algebra
Formula memorization without use
Trigonometry and calculus are the final subjects.
Ignoring error analysis and mock tests
Making computation errors and being anxious during the test
The National Defence Academy (NDA) exam is open to medical students, although there are certain significant restrictions and requirements:
1. You must have passed 10+2 (any stream) to be eligible for the Army Wing.
2. You need to have passed 10+2 in math and physics to be eligible for the Air Force and Navy Wings.
3. Age Requirement: o You must be between 16.5 and 19.5 years old when the course starts.
4. Gender:Applications are now being accepted from both men and women.
• You are not eligible if you are currently enrolled in MBBS or a medical college because you are probably older than 19.5 years. However, since the Navy and Air Force require physics and math, you can only apply for the Army Wing if you recently finished your 10+2 with PCB and are under 19.5 years old.
NDA does not offer a medical corps training track; if you want to work as a doctor in the military, you should enroll in AFMC (Armed Forces Medical College) after completing your 12th grade or through NEET.
Later on, obtain a medical commission in the Indian Army through the Army Medical Corps (AMC).
New Careers Academy is one of the best Defense Coaching Institutes in India serving aspirants with NDA, SSB, CDS, AFCAT, TA and PABT coaching since 1967. We have produced over 38000 success stories since our inception. Read More
Mobile: +91 623 966 1414
Mobile: +91 90 410 12051
Email: ncaacademy0@gmail.com
