NDA Syllabus 2022 - Check Section Wise (Maths & GAT) Syllabus & Exam Pattern

NDA Syllabus 2022 - Check Section Wise (Maths & GAT) Syllabus & Exam Pattern

The Union Public Service Commission (UPSC) will release the UPSC NDA syllabus along with official NDA notification on the official website - upsc.gov.in. According to the NDA syllabus 2022, there will be two sections in the written exam of UPSC NDA 2022. Those who are planning to appear for the NDA 2022 exam must go through the NDA syllabus before starting their preparation. The two sections of the syllabus of NDA 2022 are - General Ability Test (GAT) and Mathematics.With the help of NDA syllabus 2022, aspirants will be able to analyse their weaker and stronger sections to prepare better. UPSC will release the National Defence Academy and Naval Academy 2022 notification on December 12, 2021. To know more about the NDA syllabus, read the full article below.

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    How to crack the UPSC NDA exam. Download free e-book. 

  • 18 Aug 2021:

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NDA Syllabus 2022 - Section-wise

Students must go through the detailed syllabus of NDA 2022 for both the sections. The level of questions will be till matriculation level. The NDA questions paper will be based on the latest exam pattern and syllabus of NDA 2022.

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NDA Salary

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NDA Selection Process

NDA Syllabus 2022 - Mathematics

For the mathematics section of NDA syllabus 2022, candidates must have their basic concepts clear. With a better understanding of the NDA 2022 syllabus, students can easily solve the NDA questions in the stipulated time. Check the NDA mathematics syllabus in the table given below.

NDA Mathematics syllabus 2022



Differential Calculus

  • Concept of a real valued function–domain, range and graph of a function.

  • Increasing and decreasing functions.

  • Derivative function at a point, geometrical and physical interpretation of a derivative - applications.

  • Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function.

  • Continuity of functions—examples, algebraic operations on continuous functions.

  • Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limits - examples.

  • Second order derivatives.

  • Application of derivatives in problems of maxima and minima.

Statistics and Probability

  • Statistics

  • Variance and standard deviation

  • Union and Intersection of events.

  • Conditional probability, Bayes’ theorem - simple problems.

  • Complementary, elementary and composite events.

  • Probability: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events.

  • Random variable as function on a sample space.

  • Graphical representation

  • Measures of Central tendency - Mean, median and mode.

  • Binomial distribution, examples of random experiments giving rise to Binomial distribution.

  • Definition of probability - classical and statistical - examples. Elementary theorems on probability - simple problems.

Vector Algebra

  • Vector product or cross product of two vectors.

  • Applications—work done by a force and moment of a force and in geometrical problems.

  • Addition of vectors, scalar multiplication of a vector

  • Vectors in two and three dimensions,

  • Unit and null vectors

  • Scalar product or dot product of two vectors.

Analytical Geometry Of Two And Three Dimensions

  • Equation of a circle in standard and in general form. Standard forms of parabola, ellipse and hyperbola.

  • Equation of a sphere.

  • Angle between two lines.

  • Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms.

  • Distance of a point from a line.

  • Equation two points.

  • Equation of a plane and a line in various forms.

  • dimensional space, distance between two points.

  • Direction Cosines and direction ratios.

  • Angle between two lines and angle between two planes.

  • Eccentricity and axis of a conic. Point in a three


  • Angles and their measures in degrees and in radians. Trigonometric ratios.

  • Inverse trigonometric functions.

  • Applications-Height and distance, properties of triangles.

  • Trigonometric identities Sum and different formulae. Multiple and Sub-multiple angles.

Matrices And Determinants

  • Basic Properties

  • Adjoint and inverse of a square matrix,

  • Applications- Solution of a system of linear equations in two or three unknowns

  • Determinant

  • Types of matrices, operations on matrices.


  • Sets and Venn diagrams.

  • Representation of real numbers on a line.

  • Arithmetic, Geometric and Harmonic progressions.

  • De Morgan laws, Cartesian product, relation, equivalence relation.

  • Complex numbers—basic

  • properties, modulus, argument, cube roots of unity. Binary system of numbers.

  • Conversion of a number in the decimal system to binary system and vice-versa.

  • Logarithms and their applications.

  • Quadratic equations with

  • real coefficients. Solution of linear in equations of two variables by graphs.

  • Permutation and Combination. Binomial theorem and its applications.

Integral Calculus And Differential Equations

  • General and particular solution of differential equations, solution of first order and first-degree differential equations of various types - examples

  • Application in problems of growth and decay.

  • Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions.

  • Definition of order and degree of a differential equation, formation of a differential equation by examples.

  • Evaluation of definite integrals— determination of areas of plane regions bounded by curves—applications.

NDA Syllabus 2022 - General Aptitude Test (GAT)

For the NDA GAT syllabus 2022, candidates must have knowledge of basic English, Environmental Studies and Science and Technology subjects. Students need to have understanding of all the topics of NDA GAT syllabus 2022 to crack the NDA General Aptitude sections. To know more about the NDA GAT syllabus, check the details mentioned in the table that is given below.

NDA GAT Syllabus 2022



English language

  • Comprehension

  • Fill in the blanks

  • Complete the sentences

  • Idioms and phrases

  • Synonym and antonym

  • Active and passive voice

  • Finding errors


  • Indian history: Culture and civilization

  • Bhoodan, Sarvodaya, National Integration and Welfare State, Basic Teachings of Mahatma Gandhi

  • India freedom struggle

  • Panchayati Raj, Co-operatives and Community Development

  • 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

  • Forces shaping the modern world; Renaissance, Exploration and Discovery


  • Landforms of india

  • Movements of Earth and their effects.

  • Layers of earth

  • Type of soils

  • Climate and Atmosphere

  • Rivers

  • Cyclones and Anticyclones

  • Solar system and universe

  • Rocks and their classification;


  • Natural and Artificial Magnets, Properties of a Magnet, Earth as a Magnet.

  • Spherical mirrors and Lenses, Human Eye.

  • Density and Specific Gravity, Principle of Archimedes, Pressure Barometer.

  • Rectilinear propagation of Light, Reflection and refraction.

  • Static and Current Electricity, conductors and Non-conductors,

  • Physical Properties and States of Matter, Mass, Weight, Volume,

  • Heat, Measurement of Temperature and Heat, change of State and Latent Heat, Modes of transference of Heat

  • Ohm’s Law, Simple Electrical Circuits, Heating, Lighting and Magnetic effects of Current, Measurement of Electrical Power, Primary and Secondary Cells, Use of X-Rays.

  • Equilibrium of objects

  • Laws of motion

  • Gravitation

  • Work, power and energy


  • Mixtures and Compounds, Symbols, Formulae and simple Chemical Equations, Law of Chemical Combination

  • Properties of Air and Water

  • Fertilizers— Natural and Artificial

  • Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gun-Powder

  • Elementary ideas about the structure of Atom, Atomic Equivalent and Molecular Weights, Valency

  • Preparation and Properties of Hydrogen

General Science

  • Biotic and abiotic components

  • Growth and Reproduction in Plants and Animals.

  • Achievements of Eminent Scientists.

  • Common Epidemics, their causes and prevention.

  • Basis of Life—Cells, Protoplasms and Tissues.

Also Read:

How to crack UPSC NDA exam?

NDA Full form

NDA Exam Pattern 2022

UPSC provides the NDA exam pattern 2022 in the official notification along with the syllabus of NDA 2022. According to the NDA exam pattern 2021, there will be two papers - Mathematics and GAT consisting of a total number of 120 questions and 150 questions respectively. The total time duration for each paper of NDA 2022 is 2 hours and 30 minutes. Check the brief exam pattern of NDA 2022 in the table that is given below.

NDA 2022 exam pattern



Mark per question

No. of Questions

Maximum marks


Paper 1


2.5 marks



2 hours 30 minutes

Paper 2


4 marks



2 hours 30 minutes




5 hours

NDA Question Paper 2022

UPSC will release the NDA 2022 question paper after the completion of the UPSC NDA 2022 exam. Candidates will understand the NDA syllabus and level of question better with the help of NDA question paper 2022. Aspirants can download the previous years question paper of NDA which is available in online mode on the official website.

How to Prepare for NDA 2021

Here are a few tips on how to prepare for the NDA for candidates appearing for it.

  • Make short notes for last minute revision

  • Prepare study plan to allot equal time to all the topics

  • Practice previous year NDA question papers 2021

  • Study from best books to prepare for NDA

How to join the NDA after 12th?

NDA is one of the most popular recruitment exams for those candidates who want to join the National Defence Academy. Aspirants need to qualify the two staged recruitment process that is an NDA written exam followed by the SSB interview. From last year, UPSC has allowed female candidates to join NDA after being intervened by the Supreme Court of India. Students must cover the NDA syllabus to get qualified in the NDA written exam.

Also Read: How to Join NDA after 12th?