NDA Syllabus 2025: Maths, GAT, English & GK Syllabus PDF Download

NDA Syllabus 2025 comprise of two subject: maths and GAT (General Ability Test). 120 questions will be asked from maths and 150 question from GAT paper. Interested candidate can check the details and NDA Exam syllabus in this article.

NDA Syllabus 2025

Union Public Service Commission releases NDA syllabus along with the NDA notification. Candidate preparing to get admission in army Navy and Air Force wings of National Defence Academy (NDA) must understand the NDA syllabus 2025. The NDA exam syllabus provides the road map to excel in examination.

The NDA syllabus comprise of two main components, Maths and GAT. The mathematic syllabus of NDA having chapters like Algebra, Calculus, Trigonometry, Statistics and Probability, Integral calculus and Differential equation and other class 12 curriculum concepts. The National Defence Academy NDA GAT syllabus include chapters like English, physics, chemistry, Social Studies, general science, geography and current affairs. Candidate needs to have a complete understanding of NDA syllabus for maths and GAT to be selected in NDA.

NDA Exam Syllabus 2025

UPSC conduct NDA exam twice a year. As per NDA the NDA syllabus is divided into Maths and General Ability Test (GAT). The NDA Mathematics section have 120 questions while the GAT 150 question. The NDA GAT syllabus assesses candidate’s basic knowledge of history, GK, current affairs of national and international event, English, science and geography. The NDA maths syllabus evaluate candidates problem solving skills using formula and theorem and based on the level of class 10th, 11th and 12th standard.

The General Ability Test (GAT) having maximum weightage of 600 marks, and the maths is worth of 300 marks. Those candidate who clear NDA written exam cut off will be shortlisted for SSB interview.

NDA Syllabus Overview

Aspirents preparing for NDA must carefully examine the NDA syllabus and NDA exam pattern. The NDA syllabus 2024 is released along with the notification.

Parameters	Details
Name of the Exam	National Defence Academy Exam or NDA exam
Exam Conducting Body	Union Public Service Commission (UPSC)
Frequency of NDA Exam	Two times a year (NDA 1 & NDA 2)
Selection Process	Written Test Intelligence & Personality Test (SSB)
Mode of exam	Offline (Pen and Paper mode)
Total Papers in NDA Exam	Mathematics General Ability Test (GAT)
Total Marks for NDA Exam	Total: 900 Marks Mathematics: 300 Marks GAT: 600 Marks
Total No. of Questions	Mathematics: 120 GAT: 150
Negative Marking	Mathematics: -0.83 GAT: -1.33 marks
Exam Duration	Mathematics: 2 Hours 30 Minutes GAT: 2 Hours 30 Minutes

NDA Exam Pattern 2025

The NDA exam is conducted through written test followed by SSB interview. As per the NDA exam pattern it has to subject namely Mathematics and General Ability Test (GAT). The Mathematics paper is conducted for 300 marks while GAT having maximum marks of 600. The NDA exam is last for 5 hours. Candidate can check hear the detail and the exam pattern.

Subject	Duration	Marks
Mathematics	2:5 Hours	300
GAT	2:5 Hours	600
SSB test/Interview		900

Also, Check
UPSC NDA 2025
AFCAT 1 2025 Notification

NDA Mathametics Exam Pattern 2025

The NDA mathematics section consists of 120 questions for total 300 marks. Candidate will be awarded 2.5 marks for each correct answers. There is a negative marking of 0.83 marks for each wrong answer. The NDA mathematics paper conducted for 2.5 hours.

Total Marks	300 Marks
Total No. of Questions	120
Correct Answer	2.5 marks
Marks deducted for the wrong answer	– 0.83
Total duration of Mathematics Paper	2 Hours 30 Minutes

NDA Maths Syllabus 2025 (Paper 1)

The NDA syllabus for the maths section covers questions of class 11th and 12th level. Candidates can prepare for the NDA Maths syllabus with the NCERT book of class 11th and 12th. It covers various topics from algebra to trigonometry, calculus, and analytical geometry. Candidates can look for the complete NDA syllabus 2024 for mathematics below.

Topics	Sub-Topics
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 vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem and Logarithms.
Calculus	Concept of a real valued function, domain, range and graph of a function. Composite functions, one to one, onto and inverse functions. 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 derivative-application. Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function. Second order 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, Applications-Solution 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 first order and first-degree differential equations of various types—examples. Application in problems of growth and decay.
Trigonometry	Angles and their measures in degrees and in radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height 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 in a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a three-dimensional 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. Angle between two lines and 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.

Topic wise distribution of question in Maths

To help you we will provided here the topic wise distribution of questions check the table given below.

Topic	Questions
Calculus	20-25
Quadratic equation	20-15
Matrices & Determinants	30
Probability	10
Trigonometry	30
Complex number	10-15

NDA Marking Scheme for Maths

In NDA Mathematics paper candidate will get 2.5 marks for each correct answer. Also there is a negative mark in and maths paper for 0.83. Latest know the marking scheme below.

Total Marks	300 Marks
Total No. of Questions	120
Correct Answer	2.5 marks
Marks deducted for the wrong answer	– 0.83
Total duration of Mathematics Paper	2 Hours 30 Minutes

NDA Syllabus for Paper 2

The National Defence Academy NDA syllabus for paper 2 includes the General Ability Test (GAT). The GAT is conducted to assess candidate knowledge in GK, English, chemistry, physics, geography, general science and current events. Candidates can check the subject-wise NDA syllabus for the general ability test listed below.

Parameters	Details
Total marks allotted for GAT paper	600 marks
No. of questions	150
Total questions in English	50
Total Questions in GK	100
Total Marks for English	200
Total Marks for GK	400
Marks for Correct Answer	4 marks in each section
Marks for Incorrect Answer	-1.33 marks in each section
Total Duration of GAT Paper	2 Hours 30 Minutes

NDA Syllabus for English

The topic of NDA English Syllabus tests candidates basic official in the English language and comprehension. The question will be from English section is easy to moderate candidate can also prepare NDA syllabus for English

• Grammar & usage
• Comprehension & cohesion
• Spotting of errors
• Para Jumbling
• Fill in the blanks
• Synonyms & Antonyms
• Vocabulary
• Cloze Test
• Idioms & Proverbs
• Completion of Sentence & Para
• Sentence Correction & Improvement

NDA Syllabus for GAT

General ability test includes subject like physics, chemistry, Social Studies, general science, geography and current events. Candidates can look at the details NDA syllabus for the GAT.

• Physics
• Chemistry
• General Science
• History
• Geography
• Current Affairs

NDA Physics Syllabus

Candidates preparing for NDA can check the topics covered in NDA syllabus for Physics. A total of 23 questions will be coming from physics of total 92 marks.

NDA syllabus for Physics

1. Physical Properties and States of Matter
2. Modes of transference of Heat
3. Mass, Weight, Volume, Sound waves and their properties
4. Simple musical instruments
5. Rectilinear propagation of Light
6. Density and Specific Gravity
7. Reflection and refraction
8. Principle of Archimedes
9. Spherical mirrors and Lenses
10. Pressure Barometer
11. Human Eye
12. Motion of objects
13. Natural and Artificial Magnets
14. Velocity and Acceleration
15. Properties of a Magnet
16. Newton’s Laws of Motion
17. Earth as a Magnet
18. Force and Momentum
19. Static and Current Electricity
20. Parallelogram of Forces
21. Conductors and Non-conductors
22. Stability and Equilibrium of bodies
23. Ohm’s Law
24. Gravitation
25. Simple Electrical Circuits
26. Elementary ideas of work
27. Heating, Lighting, and Magnetic effects of Current
28. Power and Energy
29. Measurement of Electrical Power
30. Effects of Heat
31. Primary and Secondary Cells
32. Measurement of Temperature and Heat
33. Use of X-Rays
34. General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophones, Telegraphs, Telephones, Periscopes, Telescopes, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses.

NDA Chemistry Syllabus

The NDA Syllabus for chemistry includes various topic through which questions will be asked in the examination. In chemistry section there are approx 15 to 16 question arrive in in examination.

1. Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction.
2. Acids, bases and salts.
3. Carbon— different forms
4. Physical and Chemical Changes
5. Fertilizers—Natural and Artificial
6. Elements
7. Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches, and Gunpowder
8. Mixtures and Compounds
9. Elementary ideas about the structure of Atom
10. Symbols, Formulae, and simple Chemical Equation
11. Atomic Equivalent and Molecular Weights
12. Law of Chemical Combination (excluding problems)
13. Valency
14. Properties of Air and Water

NDA General Science Syllabus

1. Common Epidemics, their causes, and prevention
2. Difference between the living and non-living
3. Food—Source of Energy for man
4. Basis of Life—Cells, Protoplasms, and Tissues
5. Constituents of food
6. Growth and Reproduction in Plants and Animals
7. Balanced Diet
8. Elementary knowledge of the Human Body and its important organs
9. The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists

NDA Syllabus for History, Freedom Movement

1. Forces shaping the modern world;
2. Renaissance
3. Exploration and Discovery;
4. A broad survey of Indian History, with emphasis on Culture and Civilisation
5. Freedom Movement in India
6. French Revolution, Industrial Revolution, and Russian Revolution
7. War of American Independence,
8. Impact of Science and Technology on Society
9. Elementary study of Indian Constitution and Administration
10. Concept of one World
11. Elementary knowledge of Five Year Plans of India
12. United Nations,
13. Panchsheel,
14. Panchayati Raj, Democracy, Socialism and Communism
15. Role of India in the present world
16. Co-operatives and Community Development
17. Bhoodan, Sarvodaya,
18. National Integration and Welfare State
19. Basic Teachings of Mahatma Gandhi

NDA Syllabus for Geography

1. The Earth, its shape and size
2. Ocean Currents and Tides Atmosphere and its composition
3. Latitudes and Longitudes
4. Temperature and Atmospheric Pressure, Planetary Winds, Cyclones, and Anticyclones; Humidity; Condensation and Precipitation
5. Concept of time
6. Types of Climate
7. International Date Line
8. Major Natural Regions of the World
9. Movements of Earth and their effects
10. Regional Geography of India
11. Climate, Natural vegetation. Mineral and Power resources;
12. Location and distribution of agricultural and Industrial activities
13. Origin of Earth. Rocks and their classification
14. Important Sea ports and main sea, land, and air routes of India
15. Weathering—Mechanical and Chemical, Earthquakes and Volcanoes
16. Main items of Imports and Exports of India

NDA Syllabus for Current Event

Knowledge of Important events that have happened in India in recent years.
Prominent personalities of both Indian and International level
Cultural activities and sports activities
Current important world events.

NDA SSB Interview

Candidate who cleared the NDA written exam, have to appear for SSB interview round. Interested candidate can check the detailed exam pattern below.

NDA – SSB Interview Pattern
Stage 1	Screening Test	Verbal and non-verbal tests.PPDT
Stage 2	Psychological Test	Thematic Apperception Test (TAT)Word Association Test (WAT)Situation Reaction Test (SRT)Self Description Test (SD)
	Group Testing Officers Test	GDGPEPGTHGTIoTCommand TaskSnake Race/Group Obstacle RaceIndividual lectureFGT
	Personal Interview & Conference	–

FAQs on NDA Syllabus 2025