NDA Syllabus 2022
National Defence Academy (NDA) is the Joint Services academy of the Indian Armed Forces. The Union Public Service Commission (UPSC) conducts the National Defence Academy (NDA) Exam every year. NDA is a nationallevel exam conducted twice a year. This is one of the most soughtafter defence jobs in India to join the Defence Forces as an Officer by the male candidates. The selection of eligible males & females into NDA will be done on the basis of the written test followed by the Personality Test.
NDA Syllabus 2022
NDA written examination is divided into two papers namely Mathematics and General Ability Test (GAT). The boys and girls who are seeking to apply for NDA 2022 must begin their preparation for the written exam by following the detailed NDA Syllabus 2022 which has been discussed in this article. The NDA 1 Exam is to be conducted offline on 10th April 2022 and NDA 2 Exam will be held on 04th September 2022 as per the UPSC Calendar 2022.
NDA Syllabus 2022 Overview
Check the important points of the NDA 2022 Syllabus and Exam Pattern in the table below.
Name of the Exam  National Defence Academy (NDA) 

Conducting Body  Union Public Service Commission, UPSC. 
Frequency Of Exam  Twice in a Year (April & September 2022) 
Selection Process 

Mode of exam  Offline 
Papers in NDA Exam 

Marks Segregation 

Total No. of Questions 

Negative Marking 

Exam Duration  2.5 Hours For Each Paper (5 hours total) 
Language of Question Paper  English & Hindi English Language paper has to be attempted in English. 
Answer Mode  Candidates must use black ball point pen to mark their answers. 
Type of Question  The question paper will be objective type questions 
NDA Exam Pattern 2022
Before getting into the NDA Syllabus let us have a look at the NDA Exam Pattern. The mathematics paper has 120 questions of 300 marks and GAT will have English and GK Papers of 200 & 400 marks respectively.
NDA Mathematics Exam Pattern
Paper I Mathematics  

Total Marks  300 Marks 
Total No. of Questions  120 
Marks awarded for Correct answer  2.5 marks 
Marks deducted for the wrong answer  0.83 
Exam Duration  2.5 Hours 
General Ability Test Exam Pattern
PaperII General Ability Test  

Total Marks  600 marks 
Total No. of Questions  150 
No. of questions in English Section  50 
No. Of questions in General knowledge Section  100 
Maximum Marks for English  200 marks 
Maximum Marks for G.K.  400 marks 
Marks for Correct Answer  4 marks in both sections 
Marks for Incorrect Answer  1.33 marks in both sections 
Exam Duration  2.5 Hours 
NDA Syllabus 2022
After getting to know the NDA Exam Pattern it is important for the candidates to know the Syllabus of NDA Exam. The NDA Syllabus is discussed below.
NDA Mathematics Syllabus
The chapters covered for NDA Maths Syllabus are given in the table below.
Mathematics  

Topic  Topicwise Syllabus 
Algebra  Sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in Binary system to Decimals, and viceversa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem, and Logarithms. 
Calculus  Concept of a realvalued function, domain, range, and graph of a function. Composite functions, onetoone, onto, and inverse functions. The notion of limit, Standard limits, Continuity of functions, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivativeapplication. Derivatives of sum, product, and quotient of functions, a derivative of a function concerning another function, the derivative of a composite function. Secondorder derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima 
Matrices and Determinants  Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoint and inverse of a square matrix, ApplicationsSolution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method. 
Integral Calculus and Differential Equations  Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential, and hyperbolic functions. Evaluation of definite integrals—determination of areas of plane regions bounded by curves—applications.Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of differential equations, solution of the first order, and firstdegree differential equations of various types—examples. Application in problems of growth and decay. 
Trigonometry  Angles and their measures in degrees and radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Submultiple angles. Inverse trigonometric functions. ApplicationsHeight and distance, properties of triangles. 
Vector Algebra  Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors. Vector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems. 
Analytical Geometry Of Two and Three Dimension  Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a threedimensional space, the distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. The angle between two lines and the angle between two planes. Equation of a sphere. 
Statistics and Probability  Probability: Random experiment, outcomes, and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary, and composite events. Definition of probability—classical and statistical—examples. Elementary theorems on probability—simple problems. Conditional probability, Bayes’ theorem—simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution. 
The topicwise question distribution in Maths
Topic  Questions 

Calculus 
2025 
Quadratic equation 
2015 
Matrices & Determinants 
30 
Probability 
10 
Trigonometry 
30 
Complex number 
1015 
NDA General Ability Test Syllabus
The General ability test comprises two papers English and General Knowledge. The English paper consists of 200 Marks while the General Knowledge is of 400 Marks.
NDA Syllabus English
The question paper in English will be designed to test the candidate’s understanding of English. The syllabus covers various aspects like as given below:
Topic  No. of Questions  No. of Marks 

Spotting Errors 
5 
20 
Comprehension 
6 
24 
Selecting Words 
10 
40 
Ordering of Words in a Sentence 
9 
36 
Sentence Improvement 
10 
40 
Antonyms 
5 
20 
Synonyms 
5 
20 
Total 
50 
200 
NDA Syllabus General Knowledge
Check the topicwise number of questions and marks distribution in the table below.
Topic  No. of Questions  No. of Marks 

Physics 
23 
92 
Chemistry 
16 
64 
General Science 
11 
44 
History & Freedom Movement 
16 
64 
Geography 
17 
68 
Current Events 
17 
68 
Total 
100 
400 
NDA Syllabus Physics
 Physical Properties and States of Matter
 Modes of transference of Heat
 Mass, Weight, Volume, Sound waves and their properties
 Simple musical instruments
 Rectilinear propagation of Light
 Density and Specific Gravity
 Reflection and refraction
 Principle of Archimedes
 Spherical mirrors and Lenses
 Pressure Barometer
 Human Eye
 Motion of objects
 Natural and Artificial Magnets
 Velocity and Acceleration
 Properties of a Magnet
 Newton’s Laws of Motion
 Earth as a Magnet
 Force and Momentum
 Static and Current Electricity
 Parallelogram of Forces
 Conductors and Nonconductors
 Stability and Equilibrium of bodies
 Ohm’s Law
 Gravitation
 Simple Electrical Circuits
 Elementary ideas of work
 Heating, Lighting, and Magnetic effects of Current
 Power and Energy
 Measurement of Electrical Power
 Effects of Heat
 Primary and Secondary Cells
 Measurement of Temperature and Heat
 Use of XRays
 General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.
NDA Syllabus Chemistry
 Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction.
 Acids, bases and salts.
 Carbon— different forms
 Physical and Chemical Changes
 Fertilizers—Natural and Artificial
 Elements
 Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder
 Mixtures and Compounds
 Elementary ideas about the structure of Atom
 Symbols, Formulae, and simple Chemical Equation
 Atomic Equivalent and Molecular Weights
 Law of Chemical Combination (excluding problems)
 Valency
 Properties of Air and Water
NDA Syllabus General Science
 Common Epidemics, their causes, and prevention
 Difference between the living and nonliving
 Food—Source of Energy for man
 Basis of Life—Cells, Protoplasms, and Tissues
 Constituents of food
 Growth and Reproduction in Plants and Animals
 Balanced Diet
 Elementary knowledge of the Human Body and its important organs
 The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists
NDA Syllabus History, Freedom Movement
 Forces shaping the modern world;
 Renaissance
 Exploration and Discovery;
 A broad survey of Indian History, with emphasis on Culture and Civilisation
 Freedom Movement in India
 French Revolution, Industrial Revolution, and Russian Revolution
 War of American Independence,
 Impact of Science and Technology on Society
 Elementary study of Indian Constitution and Administration
 Concept of one World
 Elementary knowledge of Five Year Plans of India
 United Nations,
 Panchsheel,
 Panchayati Raj, Democracy, Socialism and Communism
 Role of India in the present world
 Cooperatives and Community Development
 Bhoodan, Sarvodaya,
 National Integration and Welfare State
 Basic Teachings of Mahatma Gandhi
NDA Syllabus Geography
 The Earth, its shape and size
 Ocean Currents and Tides Atmosphere and its composition
 Latitudes and Longitudes
 Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anticyclones; Humidity; Condensation and Precipitation
 Concept of time
 Types of Climate
 International Date Line
 Major Natural Regions of the World
 Movements of Earth and their effects
 Regional Geography of India
 Climate, Natural vegetation. Mineral and Power resources;
 Location and distribution of agricultural and Industrial activities
 Origin of Earth. Rocks and their classification
 Important Sea ports and main sea, land, and air routes of India
 Weathering—Mechanical and Chemical, Earthquakes and Volcanoes
 Main items of Imports and Exports of India
Current Events
Knowledge of Important events that have happened in India in recent yearsProminent personalities of both Indian and International level, Cultural activities and sports activities, Current important world events
Exam Day Instructions
 Here candidates can check some instructions for examination day:
 Candidates must reach examination hall before 30 minutes of the commencement of exam.
 Do not bring calculator or any other electronic device in the examination hall.
 Candidates should not do any rough work in the question paper or OMR sheet; Rough work will be done only in the text book.
 Bring admit card and photo ID proof on the day of examination.
 Do not leave examination hall without permission of invigilators.