NDA Syllabus 2025: The National Defence Academy (NDA) exam is a nationallevel entrance test which provides an opportunity to all candidates who want to join the Indian Army, Navy & Air Force. NDA II is going to be organized in September 2025. All candidates who have applied for this exam should check the NDA 2 Syllabus first for better preparation.
Here we have provided the complete syllabus for NDA 2025 Exam along with the exam pattern. Candidates are advised to check the UPSC NDA Syllabus so that they can clear the exam by scoring maximum marks.
UPSC NDA Syllabus 2025 (Subject Wise)
Go through the entire NDA Syllabus with topics listed below to perform well in the exam.
NDA Mathematics Syllabus
Topics  Content 

Trigonometry 
Trigonometrical Ratios, Properties of triangles, Angles and their measures in degrees and in radians, Inverse trigonometric functions, Trigonometric identities Sum and difference formulae, Applications – Height and distance, Multiple and Submultiple angles. 
Algebra 
Complex numbers – basic properties, modulus, Conversion of a number in decimal system to binary system and viceversa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications. 
Differential Calculus 
Composite functions, one to one, onto and inverse functions, geometrical and physical interpretation of a derivative – applications, increasing and decreasing functions, Continuity of functions – examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real valued function – domain, range and graph of a function, Notion of limit, Standard limits – examples, geometrical and physical interpretation of a derivative – applications, Derivative of a function at a point, Derivatives of sum, product and quotient of functions, derivative of a function with respect of another function, derivative of a composite function and Second order derivatives. 
Vector Algebra 
Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of twovectors, Applicationswork done by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector, Unit and null vectors, addition of vectors, Vector product and cross product of two vectors. 
Integral Calculus and Differential equations 
Integration by substitution and by parts, trigonometric, Definition of order and degree of a differential equation, formation of a differential equation by examples, exponential and hyperbolic functions, solution of first order and first degree differential equations of various types – examples, standard integrals involving algebraic expressions, Evaluation of definite integrals – determination of areas of plane regions bounded by curves – applications, General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay. 
Matrices and Determinants 
Types of Matrices, Determinant of a matrix, adjoin and inverse of a square matrix, operations on matrices, Applications – Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method, basic properties of determinant. 
Analytical Geometry of two and three dimensions 
Distance formula, Equation of a circle in standard and in general form, Ellipse and hyperbola, Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Standard forms of parabola, Distance of a point from a line, Eccentricity and axis of a conic. Point in a threedimensional space, distance between two points, Equation of a plane and a line in various forms, Equation of a sphere, Direction Cosines and direction ratios, angle between two lines and angle between two planes. 
Statistics 
Frequency distribution, Classification of data, cumulative frequency distribution – examples Graphical representation – Histogram, Measures of Central tendency – mean, median and mode, Pie Chart, Frequency Polygon – examples, Variance and standard deviation – determination and comparison, Correlation and regression. 
Probability 
Outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, Bayes’ theorem – simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability – simple problems, Binomial distribution, examples of random experiments giving rise to Binominal distribution. 
NDA General Ability Syllabus
Parts  Topics  

Part1 (English) 
Vocabulary, Grammar and usage, comprehension and cohesion in extended text to test the candidate’s proficiency in English 

Part2 (General Knowledge)  Physics 
Motion of objects, Newton’s Laws of Motion, Force and Momentum, Parallelogram of Forces, Stability and Equilibrium of bodies, Gravitation, elementary ideas of work, Velocity and Acceleration, Power and Energy, Sound waves and their properties, Simple musical instruments, Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightening Conductors, Safety Fuses, Simple Pendulum. Simple Pulleys, Physical Properties and States of Matter, Mass, Weight, Volume, Density and Specific Gravity, Principle of Archimedes, Pressure Barometer, Effects of Heat, change of State and Latent Heat, Modes of transference of Heat, Rectilinear propagation of Light, Reflection and refraction. Spherical mirrors and Lenses. Human Eye, Static and Current Electricity, Measurement of temperature and heat, conductors and Nonconductors, Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of XRays. 
Chemistry 
Preparation and Properties of Hydrogen, Oxygen, Nitrogen and CarbonDioxide, Oxidation and Reduction, Material used in the preparation of substances like soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and GunPowder, Carbon – different forms, Physical and Chemical changes. Symbols, Formulas and simple Chemical Equations, Law of Chemical Combination (excluding problems). Properties of Air and Water, Acids, bases and salts, Elements, Mixtures and Compounds, Fertilizers – Natural and Artificial, Elementary ideas about the Structure of Atom, Atomic, Equivalent and Molecular Weights, Valency. 

History 
Freedom Movement in India, Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi, A broad survey of Indian History, with emphasis on Culture and Civilisation, Elementary knowledge of Five Year Plans of India, Elementary study of Indian Constitution and Administration, Panchayati Raj, Forces shaping the modern world; Renaissance, Exploration and Discovery; War of American Independence, French Revolution, Industrial Revolution and Russian Revolution, Impact of Science and Technology on Society, Concept of one World, United Nations, Panchsheel, Democracy, Socialism and Communism, Cooperatives and Community Development, Role of India in the present world. 

Geography 
Origin of Earth, Weathering – Mechanical and Chemical, Earthquakes and volcanoes, Atmosphere and its composition, Temperature and Atmospheric Pressure, Rocks and their classification, Planetary Winds, cyclones and Anticyclones, Humidity, Condensation and Precipitation, Major Natural regions of the World, Important Sea ports and main sea, land and air routes of India. Main items of Imports and Exports of India, Types of Climate, The Earth, its shape and size, Lattitudes and Longitudes, Concept of time, International Date Line, Movements of Earth and their effects, Ocean Currents and Tides, Regional Geography of India – Climate, Natural vegetation. Mineral and Power resources, location and distribution of agricultural and industrial activities. 

General Science 
Basis of Life – Cells, Protoplasms and Tissues, Constituents of food, Balanced Diet, Achievements of Eminent Scientists, Difference between the living and nonliving, Elementary knowledge of human Body and its important organs, Food – Source of Energy for man, Growth and Reproduction in Plants and Animals, Common Epidemics, their causes and prevention, The Solar System – Meteors and Comets, Eclipses. 

Current Events 
National and International current affairs related to Economy & Banking, Science & Technology, environment & Ecology, Government Acts & Schemes, Arts & Culture, Awards & Honours, Sports, Bills & Acts etc 
NDA 2025 Exam Pattern
After knowing the entire syllabus, it is necessary to know the NDA Exam Pattern to learn how to attempt the paper. NDA exam is held twice in a year. But the exam pattern remains same for both exams. The exam pattern will give detail like mode of examination, time duration, paper medium, section wise marks, marking scheme etc.
Mode of Exam  Offline (PenPaper based) 
No of Sections  2 (Mathematics & General Ability Test ) 
Type of Questions  Multiple Choice Questions 
Paper Medium (Language)  English, Hindi 
Time Duration  2 ½ hours for each sections 
Total Questions  270 
Total Marks  900 
Marking Scheme  0.33 marks will be deducted for each incorrect response. 
To get familiar with the question paper must check the previous year question paper. It gives idea about the difficulty level of question, important topics, no of question asked from each sections etc. UPSC NDA Exam Pattern gives idea about the paper like what are the subjects included, how many questions asked from each section, how many marks each section carried etc.
Code  Subject  No of Question  Maximum Marks  

01  Mathematics  120  300  
02  General Ability Test  English  50  200 
General Knowledge  100  400  
Total  270  900 
Hope above provided information helps you to understand more about UPSC NDA Exam Syllabus. You can also check some NDA Previous Year Papers to get an exact idea about the paper. All the Best!!!!
Official Website: NDA Syllabus 2025 Pdf Download