NDA Syllabus

NDA Syllabus complete guide by Young Star Defence Academy featuring a boy and girl NDA aspirant with Mathematics syllabus, GAT syllabus, exam pattern, marking scheme and preparation strategy.

NDA Syllabus – Complete Subject-wise Guide for Written Exam Preparation

The National Defence Academy examination is one of the most prestigious and competitive exams in India. Every year, lakhs of young aspirants appear for this exam with the dream of wearing the uniform. But only those who truly understand the NDA syllabus and prepare strategically end up clearing the written exam and making it to the SSB interview.

This page is your one-stop resource for the complete NDA exam syllabus — subject by subject, topic by topic — along with preparation strategies, recommended books, formula sheets, common mistakes, and a month-wise study plan. Whether you are just starting out or revising before the exam, this guide will give you everything you need.

At Young Star Defence Academy, Amritsar, our faculty has guided thousands of students through NDA preparation. The insights on this page come directly from classroom experience and years of result-oriented coaching.

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NDA Exam – Quick Overview

Detail Information
Conducting Authority Union Public Service Commission (UPSC)
Exam Name National Defence Academy & Naval Academy Examination
Exam Mode Offline (Pen and Paper / OMR based)
Subjects Mathematics and General Ability Test (GAT)
Total Marks 900 (Maths: 300 + GAT: 600)
Total Questions 270 (Maths: 120 + GAT: 150)
Duration 2.5 hours per paper
Negative Marking Yes — 1/3 of marks deducted for wrong answer
Medium of Exam English and Hindi (bilingual)
Selection Stages Written Exam → SSB Interview → Medical → Merit List
Eligibility (Age) 16.5 to 19.5 years (unmarried male/female)
Educational Qualification Class 12 passed or appearing

What is the NDA Syllabus?
The NDA syllabus is prescribed by UPSC and covers two papers — Mathematics (300 marks) and General Ability Test (600 marks). Mathematics covers Class 11 and 12 topics. GAT covers English, Physics, Chemistry, General Science, History, Geography and Current Affairs up to Class 10 level.

What is NDA and Why Does the Syllabus Matter?

The National Defence Academy is India’s premier tri-service academy located in Khadakwasla, Pune. Cadets from the Army, Navy and Air Force wings are trained together here before going to their respective service academies for advanced training. Entry to the NDA is through the NDA written exam conducted by UPSC, followed by an SSB interview.

Understanding the NDA written exam syllabus is the very first step of preparation. Many students waste months studying topics that are not even part of the exam, while completely ignoring high-weightage areas. When you know the syllabus properly, you:

  • Study only what is relevant
  • Allocate time correctly to each subject
  • Build stronger command over important topics
  • Avoid surprises on exam day
  • Score higher in mock tests consistently

The NDA exam is not extremely difficult if prepared properly. Class 11 and 12 NCERT books form the foundation for almost every subject. With discipline and the right guidance, clearing the written exam is very achievable.

NDA Selection Process – Step by Step

Before diving into the syllabus, it is important to understand the full selection process. The written exam is only the first step.

Stage 1 – Written Examination

Conducted by UPSC, the written exam consists of two papers — Mathematics and General Ability Test. The exam is held twice a year. Candidates who score above the UPSC cutoff are called for the SSB interview. The written exam is OMR-based and held at centres across India.

Stage 2 – SSB Interview

The Services Selection Board (SSB) interview is a five-day process. It tests your Officer Like Qualities (OLQs) through psychological tests, group tasks, personal interviews and physical activities. The SSB interview carries 900 marks — equal weight to the written exam in the final merit calculation.

Stage 3 – Medical Examination

Candidates who qualify the SSB are called for a medical examination at designated military hospitals. The medical standards are strict. Vision, fitness, height, weight and several other parameters are checked. Candidates with certain medical conditions may be rejected or placed in a review medical board.

Stage 4 – Final Merit List

The final merit list is prepared by UPSC based on the combined scores of the written exam and SSB interview. Candidates who are medically fit and rank within the available vacancies receive joining letters for the NDA. The number of vacancies varies each notification.

NDA Written Exam Pattern

Paper Subject Questions Marks Duration
Paper I Mathematics 120 300 2.5 hours
Paper II General Ability Test (GAT) 150 600 2.5 hours
Total 270 900 5 hours

Marking Scheme

  • Correct Answer: Mathematics — 2.5 marks | GAT — 4 marks
  • Wrong Answer: Mathematics — 0.83 marks deducted | GAT — 1.33 marks deducted
  • Unattempted: No marks deducted

Important Points About the Exam Pattern

  • Both papers are Multiple Choice Questions (MCQ) with four options
  • The exam is conducted on OMR answer sheets — darken the correct bubble carefully
  • There is no sectional time limit within the GAT paper
  • Questions are bilingual — English and Hindi
  • Calculators and electronic devices are strictly not allowed

Minimum Qualifying Marks

UPSC sets minimum qualifying marks separately for each paper. Candidates must score the minimum qualifying marks in each paper to be considered for the merit list. Simply scoring high in one paper does not guarantee qualification — both papers must be cleared individually.

What subjects are in the NDA exam?
The NDA exam has two papers. Paper 1 is Mathematics (300 marks, 120 questions). Paper 2 is General Ability Test or GAT (600 marks, 150 questions). GAT is further divided into English (200 marks) and General Knowledge (400 marks) which covers Physics, Chemistry, General Science, History, Geography and Current Affairs.

Complete NDA Mathematics Syllabus

Mathematics is Paper 1 of the NDA exam. It carries 300 marks and consists of 120 questions. Each correct answer gives 2.5 marks and each wrong answer carries a deduction of 0.83 marks. The level of Mathematics is Class 11 and 12.

Many students fear this paper, but with the right strategy and consistent practice it is very manageable. Below is the complete, topic-wise NDA Maths syllabus with preparation guidance for each section.

1. Algebra

Algebra is one of the most important and high-scoring topics in the NDA Mathematics syllabus. It forms the base for many other chapters as well.

Important Concepts:

  • Sets, Venn Diagrams and De Morgan’s Laws
  • Cartesian Product, Relations and Equivalence Relations
  • Real Numbers and Complex Numbers
  • Modulus and Cube Roots of Unity
  • Conversion between Binary and Decimal number systems
  • Arithmetic Progression (AP), Geometric Progression (GP) and Harmonic Progression (HP)
  • Quadratic Equations and Linear Inequations
  • Permutation and Combination
  • Binomial Theorem
  • Logarithms

Frequently Tested Subtopics: AP/GP/HP sum formulas, Binomial expansion, Permutation vs Combination distinction, De Morgan’s Laws, properties of complex numbers.

Common Mistakes: Students often confuse permutation with combination, and make sign errors in Binomial expansions. AP/GP formulas are mixed up under time pressure.

Difficulty Level: Moderate

Preparation Strategy: Start with NCERT Class 11 chapters on Sets, Relations, Complex Numbers and Sequences. Once the concepts are clear, move to previous year NDA papers and solve at least 50 questions per topic.

Recommended NCERT Chapters: Class 11 — Sets, Relations and Functions, Complex Numbers, Sequences and Series, Permutations and Combinations, Binomial Theorem, Mathematical Induction.

Expert Tip: AP, GP and HP appear almost every exam. Memorise all standard formulas — sum of n terms, nth term, sum to infinity of GP. Questions from Permutation and Combination are often tricky — read them carefully.

2. Matrices and Determinants

This is a well-defined and scoring chapter. The concepts are straightforward once you understand the rules clearly.

Important Concepts:

  • Types of Matrices — row matrix, column matrix, square matrix, diagonal, identity, null
  • Operations on Matrices — addition, subtraction, multiplication
  • Transpose and properties of transpose
  • Symmetric and Skew-Symmetric matrices
  • Determinant of a 2×2 and 3×3 matrix
  • Properties of Determinants
  • Adjoint and Inverse of a square matrix
  • Solution of a system of linear equations using Cramer’s Rule and Matrix Method

Common Mistakes: Errors in matrix multiplication order (AB ≠ BA), sign mistakes while expanding determinants, forgetting to divide by determinant while finding inverse.

Difficulty Level: Easy to Moderate

Preparation Strategy: This chapter is completely formula and rule-based. Practise determinant expansions daily. Solve at least 20 questions on Cramer’s Rule for confidence.

Recommended NCERT Chapters: Class 12 — Matrices, Determinants.

Expert Tip: Properties of determinants save a lot of time in the exam. If you know that swapping two rows changes the sign, or that a matrix with two identical rows has zero determinant — many questions can be solved in seconds.

3. Trigonometry

Trigonometry is a heavily tested chapter in the NDA Maths paper. It is also the foundation for many questions in Vector Algebra and Coordinate Geometry.

Important Concepts:

  • Angles — degree and radian measure, conversion between them
  • Trigonometric Ratios and their values at standard angles
  • Fundamental Trigonometric Identities
  • Sum and Difference Formulae
  • Multiple and Sub-multiple Angle Formulae (2A, 3A, A/2)
  • Inverse Trigonometric Functions and their domains
  • Properties of Triangles — sine rule, cosine rule, area formula
  • Heights and Distances

Frequently Tested Subtopics: Transformation formulae (sum to product and product to sum), principal values of inverse trigonometric functions, heights and distances word problems.

Common Mistakes: Confusing the range of inverse trigonometric functions, making sign errors in quadrant-based questions, and applying wrong formula in height and distance problems.

Difficulty Level: Moderate to High

Preparation Strategy: Memorise all fundamental identities and transformation formulae on a single sheet. Revise them daily. Heights and distances require diagram practice — draw the figure before solving.

Recommended NCERT Chapters: Class 11 — Trigonometric Functions; Class 12 — Inverse Trigonometric Functions.

Expert Tip: Heights and distances questions are almost always in every NDA paper. They are not difficult if you know which trigonometric ratio to use. Always draw a labelled diagram.

4. Analytical Geometry of Two Dimensions

Coordinate Geometry in 2D is a chapter where careful reading and formula accuracy decide the score.

Important Concepts:

  • Rectangular Cartesian Coordinate System
  • Distance Formula, Section Formula, Midpoint Formula
  • Equation of a Line — slope form, intercept form, normal form, general form
  • Angle between two lines, conditions for parallel and perpendicular lines
  • Distance of a point from a line
  • Equation of a Circle — standard and general form, centre and radius
  • Standard forms of Parabola, Ellipse and Hyperbola
  • Eccentricity and Axis of a Conic Section

Common Mistakes: Sign errors in the distance of a point from a line formula, confusing major and minor axes, incorrect identification of conic section type.

Difficulty Level: Moderate

Preparation Strategy: Create a formula sheet for this chapter. A question on every conic type is expected. Practice standard form to general form conversions and vice versa.

Recommended NCERT Chapters: Class 11 — Straight Lines, Conic Sections.

5. Analytical Geometry of Three Dimensions

Important Concepts:

  • Point in 3D space, distance between two points
  • Direction Cosines and Direction Ratios
  • Equation of a line in 3D
  • Equation of a plane — various forms
  • Angle between two lines and two planes
  • Equation of a Sphere

Difficulty Level: Moderate to High

Expert Tip: 3D Geometry is easier than it looks. The formulas are extensions of 2D geometry. Understand direction cosines conceptually — do not just memorise blindly.

6. Differential Calculus

Calculus is the most important and highest-weightage topic in NDA Mathematics. Questions from Calculus appear heavily in every exam.

Important Concepts:

  • Concept of a real-valued function — domain, range and graph
  • Composite functions, one-to-one, onto and inverse functions
  • Notion of limit and standard limits
  • Continuity of a function
  • Derivative of a function at a point — geometrical and physical meaning
  • Derivatives of sum, product, quotient of functions
  • Chain Rule — derivative of composite function
  • Derivative of a function with respect to another function
  • Second Order Derivatives
  • Increasing and Decreasing Functions
  • Application of Derivatives — Maxima and Minima

Common Mistakes: Forgetting the chain rule, incorrect application of product rule, sign confusion in second derivative test for maxima/minima.

Difficulty Level: Moderate to High

Preparation Strategy: Practise derivatives of standard functions daily. Maxima-minima problems need step-by-step approach — first find critical points, then apply second derivative test.

Recommended NCERT Chapters: Class 11 — Limits and Derivatives; Class 12 — Continuity and Differentiability, Application of Derivatives.

7. Integral Calculus and Differential Equations

Important Concepts:

  • Integration as inverse of differentiation
  • Integration by Substitution
  • Integration by Parts
  • Standard integrals — algebraic, trigonometric, exponential, hyperbolic
  • Definite Integrals and properties
  • Area under curves — applications
  • Definition of order and degree of a differential equation
  • Formation of a differential equation
  • General and Particular solution
  • First order first degree differential equations — variable separable, homogeneous
  • Growth and Decay problems

Difficulty Level: High

Expert Tip: Definite integrals with specific properties (like f(a+b-x) = f(x)) are frequently asked in NDA. Learn these properties carefully — they turn hard-looking integrals into one-step solutions.

8. Vector Algebra

Important Concepts:

  • Vectors in 2D and 3D — magnitude and direction
  • Unit and Null Vectors
  • Addition of Vectors, Scalar Multiplication
  • Scalar (Dot) Product of two vectors
  • Vector (Cross) Product of two vectors
  • Applications — work done by force, moment of force, geometric problems

Common Mistakes: Confusing dot product (scalar) with cross product (vector), sign errors in component form calculations.

Difficulty Level: Moderate

Recommended NCERT Chapters: Class 12 — Vectors.

9. Statistics and Probability

Important Concepts — Statistics:

  • Classification of data, frequency distribution
  • Cumulative frequency diagram
  • Histogram, Pie chart, Bar chart, Ogive
  • Measures of Central Tendency — Mean, Median, Mode
  • Measures of Dispersion — Range, Mean Deviation, Standard Deviation, Variance

Important Concepts — Probability:

  • Random experiment, outcomes and sample space
  • Events — mutually exclusive, exhaustive, impossible, certain
  • Union and Intersection of events
  • Complementary events
  • Classical and Statistical definition of probability
  • Elementary theorems on probability
  • Conditional Probability and Bayes’ Theorem
  • Random Variable and Probability Distribution
  • Binomial Distribution

Difficulty Level: Easy to Moderate

Expert Tip: Probability and Statistics are among the easiest scoring areas in the paper. Never skip this section. A student who practises 30–40 questions from probability can score full marks here.

Important NDA Mathematics Formulas – Quick Reference

Algebra Formulas

Formula Used For
a² – b² = (a+b)(a–b) Factorisation questions
(a+b)³ = a³ + 3a²b + 3ab² + b³ Expansion problems
Sum of AP = n/2 × [2a + (n–1)d] Arithmetic Progression
Sum of GP = a(rⁿ–1)/(r–1) Geometric Progression
nCr = n! / [r! × (n–r)!] Combination
nPr = n! / (n–r)! Permutation

Trigonometry Formulas

Formula Used For
sin²θ + cos²θ = 1 Fundamental identity
sin(A+B) = sinA cosB + cosA sinB Compound angles
cos(A+B) = cosA cosB – sinA sinB Compound angles
sin 2A = 2 sinA cosA Double angle
cos 2A = cos²A – sin²A = 1–2sin²A Double angle
tan(A+B) = (tanA + tanB)/(1–tanA tanB) Compound angle tangent

Calculus Formulas

Formula Used For
d/dx (xⁿ) = nxⁿ⁻¹ Power rule differentiation
d/dx (sinx) = cosx Trig differentiation
d/dx (eˣ) = eˣ Exponential differentiation
d/dx (ln x) = 1/x Log differentiation
∫xⁿ dx = xⁿ⁺¹/(n+1) + C Power rule integration
∫eˣ dx = eˣ + C Exponential integration

Complete NDA GAT Syllabus – General Ability Test

The General Ability Test (GAT) is Paper 2 of the NDA exam. It carries 600 marks and consists of 150 questions. It is divided into two parts:

  • Part A — English: 200 marks (50 questions)
  • Part B — General Knowledge: 400 marks (100 questions)

The General Knowledge section covers Physics, Chemistry, General Science, History, Geography and Current Affairs. The level is broadly up to Class 10, with some topics extending to Class 12 level for Physics and Chemistry.

NDA English Syllabus

The English section tests a candidate’s understanding of the language — grammar, vocabulary, comprehension and usage. 50 questions carry 200 marks, making each question worth 4 marks. This section is often underestimated, but it is one of the easiest scoring sections if prepared well.

Important Topics:

  • Vocabulary — Synonyms and Antonyms
  • One Word Substitution
  • Homophones and Homonyms
  • Idioms and Phrases
  • Fill in the blanks — appropriate word
  • Spotting Errors in sentences
  • Sentence Improvement
  • Ordering of Sentences / Jumbled Paragraphs
  • Tenses — all 12 types and their correct usage
  • Active and Passive Voice transformation
  • Direct and Indirect Speech conversion
  • Articles — a, an, the
  • Prepositions — correct usage
  • Conjunctions
  • Reading Comprehension passages
  • Cloze Test — fill in blanks in a passage

Preparation Tips for English:

  • Read English newspapers daily — The Hindu or Hindustan Times are excellent
  • Learn 10 new words every day with their meanings and usage in sentences
  • Practise grammar rules from SP Bakshi’s book — focus on one topic per day
  • Solve previous year NDA English papers — patterns repeat
  • Reading comprehension improves with daily reading practice — do not skip it

Is English difficult in NDA?
No, NDA English is moderate level. It is based on Class 10–12 grammar and vocabulary. Most questions come from grammar rules, vocabulary and comprehension. A student who reads regularly and revises grammar rules properly can score 160–180 out of 200 in English.

NDA Physics Syllabus

Physics is the highest-weightage subject within the General Knowledge section of NDA GAT. It is Class 9 and 10 level — conceptual, not heavily mathematical. Understanding concepts and their real-world applications is the key.

Important Topics:

  • Physical Properties and States of Matter — solid, liquid, gas
  • Mass, Weight, Volume — differences and measurements
  • Density and Specific Gravity
  • Principle of Archimedes and its applications
  • Pressure Barometer
  • Motion of Objects — types of motion
  • Velocity and Acceleration
  • Newton’s Laws of Motion — with examples
  • Force and Momentum — conservation of momentum
  • Parallelogram Law of Forces
  • Stability and Equilibrium of Bodies
  • Gravitation — universal law, free fall, escape velocity concept
  • Elementary Work, Power and Energy
  • Effects of Heat, Measurement of Temperature and Heat
  • Modes of Transfer of Heat — conduction, convection, radiation
  • Sound Waves and their properties — wavelength, frequency, speed
  • Simple Musical Instruments
  • Rectilinear Propagation of Light
  • Reflection and Refraction of Light
  • Spherical Mirrors and Lenses — concave, convex, uses
  • Human Eye — structure and common defects
  • Natural and Artificial Magnets
  • Properties of a Magnet
  • Earth as a Magnet
  • Static and Current Electricity
  • Conductors and Non-conductors
  • Ohm’s Law
  • Simple Electrical Circuits
  • Heating, Lighting and Magnetic effects of Electric Current
  • Measurement of Electrical Power
  • Primary and Secondary Cells — dry cell, lead acid battery
  • Use of X-Rays
  • General working principles of: Simple Pendulum, Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraph, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass, Lightning Conductors, Safety Fuses

Preparation Strategy: NCERT Science textbooks of Class 9 and 10 are sufficient for NDA Physics. Read each chapter concept by concept. Focus especially on the working principles of instruments — these appear regularly in the exam.

Expert Tip: Questions on working principles of everyday instruments are very common. Know at least 10–15 instruments and the physics concept behind each one.

NDA Chemistry Syllabus

Chemistry in NDA GAT is Class 9 and 10 level. It is factual and conceptual — no numerical calculations are required. Students who read their NCERT notes properly can score full marks here.

Important Topics:

  • Physical and Chemical Changes — with examples
  • Elements, Mixtures and Compounds — definitions and differences
  • Symbols, Formulae and Simple Chemical Equations
  • Law of Chemical Combination (excluding numerical problems)
  • Properties of Air and Water
  • Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide
  • Oxidation and Reduction — definitions and examples
  • Acids, Bases and Salts — properties and uses
  • Carbon and its different forms — allotropes
  • Fertilizers — Natural and Artificial
  • Elementary ideas about the structure of Atom
  • Atomic Equivalent and Molecular Weights
  • Valency
  • Materials used in preparing Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gunpowder

Preparation Strategy: NCERT Class 9 and 10 Science (Chemistry chapters) are the core reference. Make short notes on properties and uses of common substances. Memorise the preparation processes of common gases.

NDA General Science (Biology) Syllabus

Important Topics:

  • Difference between Living and Non-Living things
  • Basis of Life — Cells, Protoplasm and Tissues
  • Growth and Reproduction in Plants and Animals
  • Food as Source of Energy for Man
  • Constituents of Food — carbohydrates, proteins, fats, vitamins, minerals
  • Balanced Diet — importance and components
  • Common Epidemics — their causes, spread and prevention
  • Elementary knowledge of Human Body and its important organs
  • The Solar System — Meteors, Comets, Eclipses
  • Achievements of Eminent Scientists

Expert Tip: Achievements of Eminent Scientists is a static GK topic. Know at least 20 famous scientists, their nationality, field of work and major discovery.

NDA History Syllabus

History is a broad subject in NDA GAT. It covers both Indian and World History. The questions are factual but conceptual understanding helps connect events better.

Important Topics:

  • Forces shaping the modern world — overview
  • Renaissance — causes, key figures, impact
  • Exploration and Discovery — Columbus, Vasco da Gama
  • French Revolution — causes, phases, impact on the world
  • Industrial Revolution — causes, inventions, impact on society
  • Russian Revolution — Bolshevik Revolution, Lenin, Stalin
  • War of American Independence — 1776, key events, outcome
  • Impact of Science and Technology on Society
  • A Broad Survey of Indian History with emphasis on Culture and Civilisation
  • Freedom Movement in India — from 1857 to 1947
  • Elementary study of Indian Constitution and Administration
  • Concept of One World and United Nations
  • Panchsheel Principles
  • Five Year Plans of India
  • Panchayati Raj
  • Democracy, Socialism and Communism — basic concepts
  • Role of India in the present world
  • Co-operatives and Community Development
  • Bhoodan and Sarvodaya movements
  • National Integration and Welfare State
  • Basic Teachings of Mahatma Gandhi

Preparation Strategy: For World History — NCERT Class 10 World History is the best source. For Indian History — NCERT Class 8, 9 and 10 textbooks cover the NDA syllabus well. Bipan Chandra’s book is helpful for the Freedom Movement.

NDA Geography Syllabus

Geography is a consistent scoring area in NDA GAT. Both physical geography and Indian geography are tested.

Important Topics:

  • The Earth — its shape, size and composition
  • Movements of Earth — rotation, revolution and their effects
  • Latitudes and Longitudes — concept and use
  • Concept of Time — standard time, time zones
  • International Date Line
  • Ocean Currents and Tides
  • Atmosphere and its composition — layers, gases
  • Temperature and Atmospheric Pressure
  • Planetary Winds — trade winds, westerlies, polar winds
  • Cyclones and Anticyclones
  • Humidity, Condensation and Precipitation — types of rainfall
  • Types of Climate — tropical, temperate, polar, Mediterranean
  • Major Natural Regions of the World
  • Regional Geography of India — relief, drainage, climate
  • Natural Vegetation of India
  • Mineral and Power Resources of India
  • Location and distribution of agricultural and industrial activities in India
  • Origin of Earth and Rocks — types of rocks
  • Weathering — Mechanical and Chemical
  • Earthquakes and Volcanoes — causes, effects, locations
  • Important Sea Ports, Land and Air Routes of India
  • Main Items of Imports and Exports of India

Preparation Strategy: NCERT Geography textbooks from Class 9 to 11 are the best source. Use atlas maps to locate everything visually — map-based learning is far more effective for Geography.

NDA Current Affairs Syllabus

Important Topics:

  • Important events that have happened in India in recent years
  • Prominent personalities at Indian and International level
  • Cultural activities — major awards, Padma awards, National awards
  • Sports — recent champions, records, tournaments
  • Current important world events — treaties, summits, conflicts
  • Government schemes and policies
  • Science and Technology developments in India
  • Defence and space developments — DRDO, ISRO missions
  • International organisations — UN, WHO, IMF, World Bank, WTO
  • Important books and their authors
  • India’s foreign policy and bilateral relations

Preparation Strategy: Read one national newspaper daily. Maintain a current affairs notebook — write 5 important facts every day. Solve monthly current affairs quizzes. Manorama Yearbook is an excellent annual reference.

NDA Subject-wise Weightage

Subject Paper Marks Questions Marks per Question
Mathematics Paper I 300 120 2.5
English Paper II – Part A 200 50 4
General Knowledge (Physics, Chemistry, GS, History, Geography, Current Affairs) Paper II – Part B 400 100 4
Total 900 270

Within General Knowledge (400 marks), the approximate topic-wise distribution based on previous papers is:

GK Topic Approximate Weightage
Physics 20–25%
Chemistry 10–15%
General Science / Biology 10–15%
History 15–20%
Geography 15–20%
Current Affairs 10–15%

NDA Marking Scheme and Attempt Strategy

How Marks are Calculated

Scenario Mathematics GAT
Correct Answer +2.5 marks +4 marks
Wrong Answer –0.833 marks –1.33 marks
Unattempted 0 marks 0 marks

Smart Attempt Strategy

  • Never guess blindly. The negative marking is 1/3rd — three wrong answers cancel one correct answer.
  • Attempt if 2 options are eliminated. If you can narrow down to two choices, the probability works in your favour.
  • Skip if completely unsure. Leaving a question unattempted is always better than a wild guess.
  • In Mathematics, start with topics you are most confident in — Trigonometry, Statistics, Algebra. Attempt Calculus last if needed.
  • In GAT, attempt English first (fastest to answer), then Physics and Chemistry, then History and Geography, and finally Current Affairs.
  • Time allocation in Mathematics: 120 questions in 150 minutes — roughly 75 seconds per question. Do not spend more than 2 minutes on any single question.

Best Books for NDA Preparation

Subject Book Author / Publisher Why Recommended Level
Mathematics NCERT Mathematics Class 11 & 12 NCERT Foundation for entire Maths syllabus Beginner
Mathematics Mathematics for NDA and NA R.S. Aggarwal Comprehensive topic coverage with practice questions Beginner to Intermediate
Mathematics Pathfinder NDA & NA Arihant Publications All-in-one complete guide, previous year papers Intermediate
Mathematics Chapter-wise Solved Papers NDA/NA Arihant Publications Topic-wise practice using actual exam questions Intermediate to Advanced
Mathematics 10 Practice Sets NDA & NA Arihant Publications Full-length mock tests for final practice Advanced
English Objective General English S.P. Bakshi Best grammar and vocabulary book for competitive exams Beginner to Intermediate
General Knowledge NCERT Textbooks Class 9 & 10 NCERT Core source for Physics, Chemistry, Biology, History, Geography Beginner
General Knowledge Manorama Yearbook (Latest) Manorama Best annual almanac for current affairs and static GK All levels
History History of Modern India Bipan Chandra Best book for Indian Freedom Movement and modern history Intermediate
Science and Technology Science and Technology in India Kalpana Rajaram (Spectrum) Covers developments in science and technology relevant to GK Intermediate
General Knowledge Success Series General Knowledge Sachchida Nand Jha Good for static GK and quick revision Intermediate

Is NCERT enough for NDA preparation?
Yes, for GAT (General Knowledge), NCERT textbooks from Class 9 to 12 are the most important reference. Physics, Chemistry, Biology, History and Geography from NCERT form the foundation of most NDA questions. For Mathematics, NCERT Class 11 and 12 are essential but must be supplemented with R.S. Aggarwal or Arihant’s NDA-specific book for practice and speed.

Month-wise NDA Preparation Plan

Six-Month Preparation Roadmap

Month Focus Area Daily Study Hours
Month 1 NCERT revision — all subjects. Build concept clarity. Algebra and Trigonometry in Maths. History and Geography basics. 6–7 hours
Month 2 Calculus (Differential), Coordinate Geometry 2D. English grammar rules. Physics (NCERT Class 9 & 10). Chemistry basics. 6–7 hours
Month 3 Integral Calculus, Vectors, 3D Geometry. English vocabulary building. Biology, Current Affairs start. 7–8 hours
Month 4 Statistics and Probability. Full GAT practice. Current Affairs daily. First full-length mock test. 7–8 hours
Month 5 Revision of weak areas. Weekly mock tests. Previous year paper analysis. Speed and accuracy focus. 8 hours
Month 6 Intensive revision. Daily mock tests. Error analysis. Formula revision. Current affairs daily. 8–9 hours

Three-Month Preparation Roadmap

  • Month 1: Complete Mathematics — Algebra, Trigonometry, Coordinate Geometry, Calculus basics. Simultaneously cover NCERT Science (Physics and Chemistry).
  • Month 2: Complete remaining Maths — Vectors, Statistics, Probability, 3D Geometry. Cover History, Geography, Biology from NCERT. English grammar rules daily.
  • Month 3: Full revision. Daily mock tests. Analysis and error correction. Current affairs daily. Formula revision every morning.

One-Month Revision Strategy

  • Week 1 — Revise Mathematics: Algebra, Trigonometry, Calculus
  • Week 2 — Revise Mathematics: Geometry, Vectors, Statistics + English grammar
  • Week 3 — Revise full GAT: Physics, Chemistry, Biology, History, Geography
  • Week 4 — Full mock tests daily, error analysis, current affairs consolidation

Last Week Strategy

  • Do not start any new topic in the last week
  • Revise only formula sheets and short notes
  • Give one mock test every day
  • Spend 30 minutes daily on current affairs
  • Sleep at least 7–8 hours daily — mental freshness is critical
  • Eat well, exercise lightly, stay calm

Exam Day Strategy

  • Wake up 2 hours before the exam
  • Light breakfast — do not overeat
  • Carry all documents — admit card, ID proof, two pens
  • Reach the centre 30 minutes early
  • In the exam hall — read each question carefully, do not rush
  • In Mathematics — start with your strongest topic
  • In GAT — start with English (fastest), then move to Science and GK
  • Never leave the examination hall early — use remaining time to recheck OMR

Common Mistakes Students Make During NDA Preparation

1. Ignoring the Official Syllabus

Many students start studying without reading the official NDA syllabus. They end up wasting time on topics that are not part of the exam, while missing important areas that are regularly tested. Always download the official UPSC notification and read the syllabus carefully before starting preparation.

2. Skipping NCERT Books

NCERT textbooks are the single most important resource for NDA GAT. Students who skip NCERT in favour of shortcut notes miss the conceptual foundation needed to answer tricky questions. Read all NCERT chapters thoroughly before moving to any other reference book.

3. Not Practising Mock Tests

Theory alone is never enough. Many students who study hard still fail because they never practised under exam conditions. Mock tests build speed, accuracy and confidence. Start mock tests at least two months before the exam and analyse every test in detail.

4. Ignoring Negative Marking

Students who attempt questions they are unsure about often end up losing more marks than they gain. Every three wrong answers cancel one correct answer. Develop the discipline to skip questions you cannot answer with reasonable confidence.

5. Neglecting Current Affairs

Current Affairs is easy marks but requires consistent daily effort. Many students delay current affairs preparation until the last month — by then there is too much to cover. Read a newspaper or follow a reliable current affairs source every single day from Day 1.

6. No Revision Plan

Studying a topic once and never returning to it means you will forget most of it within a week. Build a revision schedule — every topic must be revised at least three times before the exam. Weekly revision of completed topics is the most effective habit.

7. Poor Time Management

Spending too much time on a single difficult topic while neglecting other subjects is a common error. Give each subject proportional time based on marks and your personal weakness. Mathematics and GAT both need daily attention.

8. Ignoring Physical Fitness

Physical fitness matters for the SSB interview stage. Students who only study and ignore their fitness often clear the written exam but struggle in the SSB physical tasks. Maintain a daily fitness routine even during exam preparation.

Preparation Tips from the Faculty at Young Star Defence Academy

The following tips come from the teaching experience of Prashant Singh, founder of Young Star Defence Academy, who has personally mentored thousands of NDA aspirants over the years.

Daily Study Routine

A disciplined daily routine separates toppers from average performers. Begin each day with 30 minutes of physical exercise. Study Mathematics in the morning when the mind is fresh — it requires maximum concentration. Cover theory-based subjects like History and Geography in the afternoon. Revise the day’s learning before sleeping.

The Power of Weekly Revision

Every Sunday should be a revision day. Go back through everything studied in the past week — formulas, facts, notes. This spaced repetition is scientifically proven to improve long-term memory. Students who revise weekly outperform those who study more hours but never revise.

Mock Test Analysis

Giving a mock test is only half the work. The other half is analysing it. After every mock test, note down: which questions you got wrong, why you got them wrong, and what you will do differently. Improve your weak areas systematically. Over 10–15 mock tests, your performance will improve dramatically.

Note Making Habit

Make your own short notes for every chapter. Do not copy from books — write in your own words. These notes become your most valuable revision material in the last two weeks before the exam. Keep a separate notebook for formulas and one for current affairs.

Consistency Over Intensity

Studying 6–7 hours consistently every day for 6 months is far more effective than studying 14 hours some days and skipping others. The NDA exam rewards those who are consistent and disciplined. Build the habit of showing up every day, no matter what.

Stress Management

Exam stress is real but manageable. Talk to your mentor or teacher when you feel stuck or overwhelmed. Maintain hobbies and social interactions. Exercise daily. Remember that stress comes from comparison — focus on your own progress, not on others.

Why Students Choose Young Star Defence Academy for NDA Preparation

At Young Star Defence Academy in Amritsar, we have been preparing students for defence entrance exams for years. Our results speak for themselves — thousands of selections across NDA, Sainik Schools, RIMC, RMS and other defence programmes. To know more about our programme structure, batch schedules and fee details, visit our NDA coaching page.

Here is what makes our NDA coaching effective:

  • Experienced Faculty: Our teachers have in-depth subject expertise and are updated with the latest exam patterns. Maths is taught by specialists, GK by separate subject experts.
  • Offline Classroom Coaching: All classes are conducted offline for maximum focus, interaction and discipline. Personal attention is given to every student.
  • Residential Hostel: Students from outside Amritsar can stay in our well-maintained hostel. A structured environment with study hours, meals and rest schedules makes preparation highly effective.
  • Regular Mock Tests: Weekly mock tests in exact NDA exam format. Detailed performance analysis after every test. Students track their progress and weak areas precisely.
  • Physical Training: Physical training sessions are conducted regularly. Students are prepared for the physical demands of the SSB interview from day one.
  • Doubt Sessions: Dedicated doubt-clearing sessions ensure no student is left behind. Questions are encouraged and every concept is explained until fully understood.
  • Updated Study Material: Comprehensive study material prepared by our faculty — aligned precisely with the NDA syllabus. No irrelevant content, no information overload.
  • Personal Mentorship: Students get individual guidance and mentoring. Career counselling, SSB preparation guidance and motivation are integral parts of our programme.
  • Small Batch Sizes: We maintain small batches so that every student receives individual attention. Large group classes where students get lost in the crowd are not our model.
Enrol at Young Star Defence Academy
Amritsar (Headquarters) | Chandigarh | Kapurthala
Offline NDA Coaching with Residential Hostel, Physical Training and Mock Tests.Contact: +91 81013 13136
Website: youngstardefenceacademy.com

Frequently Asked Questions About NDA Syllabus

1. What is the complete NDA syllabus?

The NDA syllabus consists of two papers. Paper 1 is Mathematics covering Algebra, Calculus, Trigonometry, Vector Algebra, Coordinate Geometry, Statistics and Probability — up to Class 12 level. Paper 2 is General Ability Test covering English (vocabulary, grammar, comprehension) and General Knowledge which includes Physics, Chemistry, General Science, History, Geography and Current Affairs — broadly up to Class 10 level with some Class 12 elements.

2. How many subjects are in the NDA exam?

The NDA written exam has two papers but effectively covers eight subject areas: Mathematics, English, Physics, Chemistry, General Science (Biology), History, Geography and Current Affairs. Within the General Ability Test, English carries 200 marks and the remaining six subjects together carry 400 marks under the General Knowledge section.

3. What is the level of Mathematics in the NDA exam?

NDA Mathematics is at the Class 11 and 12 level. It covers Algebra, Trigonometry, Calculus (Differential and Integral), Coordinate Geometry (2D and 3D), Vector Algebra, Matrices and Determinants, Statistics and Probability. The difficulty level is moderate to high for students who have a strong Class 12 foundation. Calculus and Coordinate Geometry typically have the highest weightage.

4. Which is the toughest subject in NDA?

Most students find Mathematics to be the most challenging part of NDA preparation because it requires strong conceptual understanding and calculation speed. Within Mathematics, Integral Calculus and 3D Geometry are considered the toughest topics. However, with consistent practice over 4–6 months, Mathematics can be brought to a comfortable scoring level.

5. Is NCERT enough for NDA GAT preparation?

Yes, NCERT textbooks from Class 9 to 12 are the most important and sufficient foundation for NDA GAT preparation. Physics, Chemistry, Biology, History and Geography from NCERT cover most of what is asked in the exam. For Current Affairs, a yearbook like Manorama and daily newspaper reading is also required. NCERT alone without current affairs preparation is not complete.

6. What is the NDA GAT syllabus?

NDA GAT (General Ability Test) has two parts. Part A is English (200 marks) covering vocabulary, grammar, comprehension, active-passive voice, direct-indirect speech and sentence improvement. Part B is General Knowledge (400 marks) covering Physics, Chemistry, General Science, History, Geography and Current Affairs. GAT questions are broadly at Class 10 level for Science and History/Geography, and current events for Current Affairs.

7. How many questions are there in the NDA Mathematics paper?

The NDA Mathematics paper consists of 120 Multiple Choice Questions. The total marks for Mathematics are 300. Each correct answer gives 2.5 marks and each wrong answer carries a deduction of 0.83 marks (i.e. 1/3 of 2.5 marks). The duration of the Mathematics paper is 2.5 hours (150 minutes).

8. Is there negative marking in NDA?

Yes, negative marking applies in both papers of the NDA exam. For Mathematics, 0.83 marks are deducted for each wrong answer (1/3rd of 2.5 marks). For GAT, 1.33 marks are deducted for each wrong answer (1/3rd of 4 marks). Unattempted questions carry no deduction. It is important to avoid blind guessing.

9. What topics are important in NDA Physics?

NDA Physics (GAT) covers Class 9 and 10 level topics. The most important and frequently asked topics are Newton’s Laws of Motion, Electricity and Circuits, Optics (reflection, refraction, lenses), Sound Waves, Magnetism and the working principles of common instruments like telescope, periscope, pressure cooker, and others. Understanding the physics behind everyday instruments is a recurring theme in the exam.

10. What topics are covered in NDA Chemistry?

NDA Chemistry covers Class 9 and 10 level topics. Important areas include Properties of Air and Water, Acids, Bases and Salts, Preparation and Properties of common gases (H2, O2, N2, CO2), Carbon and its allotropes, Atomic Structure, Chemical Equations, Fertilizers, and Materials used in preparing common substances like soap, glass and cement. No numerical chemistry is required.

11. How should I prepare for NDA History?

For NDA History, start with NCERT Class 8, 9 and 10 History textbooks — they cover the Indian Freedom Movement, broad Indian history, and world events like the French and Russian Revolutions. Bipan Chandra’s History of Modern India is excellent for deeper understanding of the Freedom Movement. Make short notes of key events, dates and personalities. Flashcard-based revision works very well for History.

12. How to prepare for NDA Geography?

NCERT Geography from Class 9 to 11 is the best source for NDA Geography preparation. Always use an atlas alongside your textbook — locating places on the map makes them easier to remember. Focus especially on Indian Geography (climate, rivers, vegetation, minerals), Physical Geography (winds, pressure, rainfall types) and standard topics like Latitudes, Longitudes, International Date Line and Earthquakes/Volcanoes.

13. How to prepare Current Affairs for NDA?

Read a national newspaper daily — The Hindu or Hindustan Times are recommended. Maintain a current affairs notebook and write 5–10 important facts every day. Focus on defence news, ISRO and DRDO updates, government schemes, sports champions, awards, and important government personalities. Solving monthly current affairs quizzes is highly effective. Manorama Yearbook is the best annual reference for static GK combined with current affairs.

14. How many hours should I study for NDA?

Ideally, 6–8 hours of focused daily study is sufficient for a 6-month NDA preparation. Quality matters more than quantity. Give at least 2–3 hours daily to Mathematics and divide the remaining time between English and General Knowledge subjects. Maintain this consistency every day including weekends. Revise previously covered topics every week — do not just keep moving forward.

15. What is the best book for NDA Mathematics?

For NDA Mathematics, start with NCERT Class 11 and 12 textbooks for concept clarity. Then use R.S. Aggarwal’s Mathematics for NDA and NA for comprehensive practice. Arihant’s Pathfinder NDA & NA is an excellent all-in-one book. For exam-pattern practice, Arihant’s Chapter-wise Solved Papers NDA/NA is the best resource as it uses actual past exam questions organised by topic.

16. What is the best book for NDA English?

Objective General English by S.P. Bakshi is widely considered the best book for NDA English preparation. It covers grammar rules, vocabulary, synonyms-antonyms, one word substitution, idioms and comprehension in a structured, exam-focused manner. Supplement it with daily newspaper reading and previous year NDA English question papers.

17. Can I prepare for NDA in 3 months?

Yes, if you are already reasonably strong in Class 11–12 Mathematics and have good general awareness, 3 months is sufficient for focused NDA preparation. However, 6 months is the recommended preparation period for students starting fresh. With 3 months available, prioritise completing the syllabus in the first two months and dedicate the third month entirely to mock tests, revision and current affairs consolidation.

18. How many mock tests should I give before NDA?

Ideally, you should give at least 15–20 full-length mock tests before the NDA exam — and analyse each one thoroughly. Start with topic-wise tests during the learning phase. Then shift to full-length mock tests in the last 2 months. At Young Star Defence Academy, we conduct weekly mock tests as part of our regular coaching schedule so that students are fully exam-ready well before the actual exam.

19. Is coaching necessary for NDA preparation?

Self-study is possible for NDA if a student is disciplined, has good study material and can track their own progress. However, coaching provides structured guidance, expert faculty for doubt resolution, regular mock tests, peer competition and personal mentorship — all of which significantly improve preparation quality and success rate. For students targeting competitive scores, professional coaching gives a clear edge.

20. What is the difference between NDA Mathematics and GAT paper?

NDA Paper 1 (Mathematics) covers only Maths topics — Class 11 and 12 level. It has 120 questions for 300 marks with 2.5 marks per correct answer. NDA Paper 2 (GAT) covers English and six General Knowledge subjects. It has 150 questions for 600 marks with 4 marks per correct answer. Both papers are MCQ-based with negative marking and are conducted on the same day — one in the morning and one in the afternoon.

21. What physical fitness is required for NDA?

The written exam has no physical component. However, after clearing the written exam, candidates go to the SSB interview which includes Group Tasks (outdoor activities, obstacle courses, command tasks) requiring good physical fitness. After SSB, the medical examination has standards for height, weight, vision, flat feet and various other physical parameters. It is advisable to maintain good physical fitness throughout preparation.

22. How is the NDA final merit list prepared?

The NDA final merit list is prepared by UPSC based on the combined total of the written exam marks and SSB interview marks. The written exam is 900 marks and the SSB interview is 900 marks — both carry equal weight. Candidates must qualify individually in each stage. Medically unfit candidates are not included in the merit list even if their combined score is high.

23. Does NDA have English as a separate subject?

Yes, English is Part A of the General Ability Test (GAT), Paper 2 of NDA. It carries 200 marks out of the total 600 marks in GAT. English tests vocabulary, grammar, comprehension and language usage — it is not combined with other subjects. A separate minimum score may be required in each part depending on UPSC’s cutoff policy.

24. Which coaching is best for NDA in Amritsar?

Young Star Defence Academy is the leading defence entrance coaching institute in Amritsar. With expert faculty, offline classroom coaching, residential hostel facility, regular mock tests and physical training, we provide a complete environment for NDA preparation. Our students have achieved thousands of selections across NDA, Sainik Schools and other defence programmes. Call us at +91 81013 13136 to know more about our NDA batches.

25. How is the NDA exam different from other competitive exams?

The NDA exam tests both academic knowledge and general awareness at a relatively accessible level (Class 10–12), but what makes it unique is the subsequent SSB interview which tests personality, leadership, decision-making and Officer Like Qualities. The final merit combines written and SSB scores equally. Unlike purely academic exams, NDA selection is a complete assessment of a candidate’s potential as a military officer — academic score alone is not sufficient.

Conclusion – Start Your NDA Preparation the Right Way

Understanding the NDA syllabus thoroughly is not just a preparation step — it is the strategic foundation of your entire journey. When you know exactly what is asked, you study smarter, not just harder. You allocate your time correctly, build command over high-weightage topics, and walk into the exam hall with confidence.

The NDA written exam is very much crackable with the right approach. Start with NCERT, build your fundamentals, practise daily, give regular mock tests, stay consistent, and keep your physical fitness active.

At Young Star Defence Academy, we have guided thousands of students from all parts of India through this journey. Our offline coaching in Amritsar — with residential hostel, experienced faculty, physical training and mock test infrastructure — creates the complete environment for serious NDA aspirants.

If you are serious about the uniform, we are here to help.

Join Young Star Defence Academy

Offline NDA Coaching | SSB Preparation | Residential Hostel | Physical Training
Amritsar (HQ) | Chandigarh | Kapurthala

+91 81013 13136 | youngstardefenceacademy.com


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