UPSC NDA & NA 2025 Syllabus PDF - Download Latest UPSC NDA & NA Syllabus for All Subjects

UPSC NDA Syllabus 2025

UPSC NDA Syllabus 2025 for the written examis divided into two papers: Mathematics and General Ability Test (GAT). Candidates are strongly advised to familiarize themselves with the NDA 2025 syllabus, which encompasses various topics and sub-topics expected to be covered in the examination. Understanding the NDA 2 syllabus 2025 is vital for candidates, as it serves as a guide for their preparation, helping them align their approach with the exam requirements. The Union Public Service Commission (UPSC) will conduct the National Defence Academy (NDA) and Naval Academy (NA) Examination I on April 13, 2025, and NDA II on September 14, 2025. The NDA 2025 exam (Paper 2) consists of two sections: Part I focuses on Mathematics and Part II on the General Ability Test (GAT). Candidates must pass both sections to be shortlisted for the NDA Service Selection Board (SSB) interviews.

To excel in the upcoming UPSC NDA & NA II exams, candidates should thoroughly understand the full syllabus. The following article provides insights into the latest NDA syllabus, exam pattern, and strategies. The NDA written exam syllabus covers key topics from Classes 11 and 12. Both Papers I and II include a range of topics and sub-topics essential for thorough preparation. This page outlines the complete UPSC NDA Paper I and II Syllabus 2025 to aid candidates in their preparation.

UPSC NDA & NA II 2025 Exam Pattern

As stated above, the UPSC NDA & NA (I) 2025 exam was divided into two papers: Mathematics and General Ability Test. The NDA Exam Pattern 2025 for  UPSC NDA & NA (I) 2025 for both Mathematics as well as GAT is given below:

UPSC NDA & NA Mathematics Exam Pattern

Paper I of NDA is the test of Mathematics we study in classes 11 & 12. The examination pattern and other highlights for mathematics papers are provided in this article:

 Paper II for UPSC NDA & NA is the General Ability Test (GAT). The NDA syllabus 2025 for GAT is based on Class X subjects. The examination pattern and other highlights for the GAT paper are provided in the table below:

NDA Syllabus 2025 - Paper 1 (Mathematics)

The comprehensive UPSC NDA syllabus 2025 for mathematics paper is given in this article:

Unit 1: Trigonometry                      {Approx. Number of Questions: 25- 30}

• Arcs and angles
• Trigonometric Ratios
• Trigonometric Identities
• Heights and Distances
• Inverse Trigonometry
• Properties of a Triangle

 Unit 2: Algebra                               {Approx. Number of Questions: 25- 30}

• Sets and Venn diagrams
• Quadratic Equations
• Sequence and Series
• Permutation and Combinations
• Logarithm
• Bionomial Theorem

Unit 3:Matrices and Determinants         {Approx. Number of Questions: 5- 10}

• Matrices: Types; Operation on Matrices; Adjoint of a matrix; Inverse of a matrix; order of a matrix; Non zero triangular matrix
• Determinants: Rules governing determinants; Value of determinant; Minor and Cofactors; Creamers law

Unit 4: Geometry- 2 D                            {Approx. Number of Questions: 10- 15}

• Cartesian System: Distance formula; Section Formula;
• Line: Equation of a line; Slope of a line; Intersection of lines; Parallel and perpendicular lines; System of lines
• Triangles: Types of triangles; Properties; Points related to a triangle; Similarity of triangles
• Circle: Equation; Properties; Concentic circles; Tangents; Chords
• Parabola
• Ellipse
• Hyperbola

Unit 5: Geometry- 3 D              {Approx. Number of Questions: 5- 10}

• Points in three dimensional space: 3-D Distance formula; Section Formula
• Direction Ratios
• Direction Cosines
• Plane: Equation; Parallel and perpendicular planes
• Sphere: Equation; Points in a sphere; radius of a sphere

Unit 6: Calculus                   {Approx. Number of Questions: 25- 30}

• Relations and functions
• Limits
• Differentiation
• Integration
• Differential equations
• Application of derivatives
• Definite Integrals
• Maxima and Minima

Unit 7: Statistics and Probability            {Approx. Number of Questions: 15- 20}

• Central Tendency: Mean; Median; Mode
• Mean: Types of Mean; Combined mean
• Median: Using Formula
• Mode: Using Formula
• Variance
• Mean Deviation; Standard Deviation
• Graphs: Bar Graph; Pie Chart; Histogram; Frequency Polygon; Ogive
• Correlation and Regression
• Probaility: Definition; General Formula; Mutually exhaustive and inclusive events; Complementary Probability
• Bayes Theorem
• Probability Distribution

Unit 8: Vector Algebra                       {Approx. Number of Questions: 5- 10}

• Vectors: Definition; Two and Three Dimensional Vectors; Unit Vector; Position vector
• Operations on a vector
• Scalar Multiplication; Vector Multiplication
• Vector Product: Dot Product; Cross Product 
• Applications: Force; Work Done; Moment of Force

NDA Syllabus 2025- Paper II (General Ability Test)

UPSC NDA & NA Paper II is the General Ability Test. GAT paper contains a lot of sections and is quite a diverse exam. There are a total of 150 questions asked in this paper. Out of these 150 questions, The English Section Comprises of 50 questions while the rest 100 questions are asked from subjects like Science, History, Political Science, Geography, Economics, and Current affairs.

The comprehensive NDA syllabus 2025 and exam pattern for Paper II are given below.

Section 1.  English

• Grammar and usage
• Vocabulary
• Comprehension
• Parts of Speech
• Tenses
• Use of Prepositions
• Spotting the Errors
• Antonyms and Synonyms
• Idioms and Phrases
• Sentence rearrangement (PQRS type)

Section 2. General Knowledge

Science

• Physical Properties and States of Matter
• Motion in one & two dimensions
• Projectile motion
• Physical phenomenons like: Force; Pressure; Friction; Surface tension; Archimides principle, etc.
• Sound: Natural and Forced Vibrations; Resonance
• Optics: Mirrors and lenses
• Static and Current Electricity
• Conductors, Insulators and semi-conductors
• Magnetism
• Simple Harmonic Motion: Simple Pendulum
• Atoms and Molecules
• Periodic Table
• Elements and their Properties
• Physical and Chemical changes
• Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon dioxide
• Oxidation and Reduction
• Physical Chemistry: Mole Concept
• Cell and its Constituents
• Growth and Reproduction in Plants and Animals
• Human Body and its important organs
• Glands and Hormones
• Genes
• Common Epidemics: causes and prevention
• Constituents of food, Balanced Diet

History, Freedom Movement, etc

• Factors which shaped the modern world
• Rennaisance
• Explorations and Discoveries
• Civilizations across the globe in ancient world
• Contemproray World: WWI & WWII
• Second World Countries
• Third World Countries
• Indian History & Culture
• Indian National Movement
• Emminent Personalities
• First War of Independence
• Assertive Nationalist
• Indian Independence Act
• The Non Aligned Movement
• UN and its agencies

Political Science

• Constituent Assembly
• Making of the Indian Constitution
• Basic Structure of the Indian Constitution
• Important Articles and Sections of the Constitution
• Important Parliamentary Procedures
• Panchayati Raj in India
• Constitutional Bodies
• India and its relations with the Neighbouring Countries
• Indian Democracy

Geography

• Shape and Dimensions of the Earth
• Latitudes and Longitudes
• International Date Line (IDL) & International Time Line/ Greenwich Mean time (GMT)
• Change in time with longitude
• Origin of Earth and its Internal Structure
• Earthquakes and Volcanoes
• Ocean Currents and Tides
• Atmosphere and its Composition
• Temperature
• Planetary Winds: Cyclones and Anti-cyclones
• Condensation and Precipitation
• Types of Climate
• Indian Geography: Physical Relief like water bodies, mountains, etc.
• Indian Geography: Climate, Natural Vegetation, Soil, Mineral and Power resources
• Indian Geography: States, Population, Population Density,etc.

Current Affairs

• Sports 
• Awards and Discretions
• Dance Forms
• International Events
• National Events
• Government Policies
• Recent Appointments
• Famous Personalities in News

Check out the Full syllabus of UPSC NDA & NA Paper-II (General Ability Test) here.

UPSC NDA Syllabus 2025 for SSB

The SSB or Personality and Intelligence Test for UPSC NDA & NA consists of two stages of the selection process. The full syllabus for this is given here in PDF format.