NDA 1 Syllabus 2025: Check Maths and GAT Syllabus, Download Subject Wise PDF

NDA 1 Syllabus 2025: UPSC conducts the NDA exam to recruit eligible candidates. The latest syllabus is divided into subjects such as Mathematics and General Aptitude Test. The examination will be conducted for a duration of 2 hours for each paper. Check the detailed syllabus below and download the PDF.

Dec 31, 2024, 11:38 IST
NDA 1 Syllabus 2025
NDA 1 Syllabus 2025

NDA 1 Syllabus 2025: The Union Public Service Commission (UPSC) conducts the National Defence Academy (NDA) twice every year. The NDA 1 notification 2025 has been released along with the detailed syllabus. The NDA syllabus is divided into two subjects, such as Maths and GAT. 

The NDA Maths syllabus consists of Class 12th level difficulty and contains topics such as calculus, matrices and determinants, vectors, probability, statistics, three-dimensional geometry, trigonometry, etc., whereas NDA GAT, which stands for General Aptitude Test, contains questions of Class 10th level difficulty, such as history, social science, geography, polity, current affairs, etc.

Also check,

NDA 1 Eligibility Criteria 2025

NDA 1 Apply Online 2025

NDA 1 Syllabus 2025

Candidates applying for the announced vacancies should go through the detailed syllabus and make strategies accordingly. The NDA exam is conducted offline. Check the table below for the overview of the NDA syllabus.

NDA Syllabus 2025 Overview

Exam Conducting Body

Union Public Service Commission

Exam Name

National Defence Academy and Naval Academy Examination, 2025

Frequency

Twice a Year

Exam Mode

Offline

Papers in NDA exam

Mathematics and General Ability Test (GAT)

Marking Scheme

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

2 ½ hours for each paper

Official Website

upsc.gov.in

NDA 1 Syllabus 2025: PDF Download

Candidates preparing for the upcoming exam must also download the syllabus pdf. The important topics for the NDA syllabus are set theory, complex numbers, matrices, integration, calculus, etc. Click on the direct link below to download syllabus pdf. 

NDA 1 Syllabus 2025

PDF Download

NDA 1 Syllabus 2025: Important Topics

The NDA 2025 syllabus for the written exam is divided into two subjects, such as the General Aptitude Test and Mathematics. Candidates must go through the detailed syllabus and important topics before starting preparation. The candidates who will clear the written exam will be called for the SSB interview. The important topics for the NDA syllabus include algebra, matrices and determinants, trigonometry, calculus, etc. Check the table below for NDA 1 important topics.

NDA 1 Maths Syllabus 2025

Topic

Important Topics

Algebra

Concept of sets, operations, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation; real numbers on a line; complex numbers (properties, modulus, argument, cube roots of unity); binary system; progressions; quadratic equations; linear inequations; permutation & combination; binomial theorem; logarithms.

Matrices and Determinants

Types of matrices, operations, determinant properties, adjoint and inverse of square matrices; solving linear equations (Cramer’s rule, Matrix Method).

Trigonometry

Angles (degrees, radians); trigonometric ratios and identities; sum, difference, multiple, sub-multiple angles; inverse trigonometric functions; applications (height and distance, properties of triangles).

Analytical Geometry of 2D and 3D

Cartesian coordinate system; distance formula; equations of lines, circles, and conics (parabola, ellipse, hyperbola); eccentricity; points in 3D space; distance between points; direction cosines and ratios; equations of planes, lines, spheres; angles between planes/lines.

Differential Calculus

Functions (domain, range, graph); composite and inverse functions; limits and continuity; derivatives (rules, interpretation, second-order); increasing/decreasing functions; applications (maxima, minima).

Integral Calculus and Differential Equations

Integration (inverse of differentiation, substitution, parts, standard integrals); definite integrals (area determination); differential equations (order, degree, formation, solutions); applications (growth, decay).

Vector Algebra

Vectors (2D, 3D); magnitude, direction, unit/null vectors; vector operations (addition, scalar multiplication, dot/cross products); applications (work, moment of force, geometry problems).

Statistics and Probability

Data classification, frequency distributions, graphical representation (histogram, pie chart, frequency polygon); central tendency (mean, median, mode); variance, standard deviation; correlation, regression; probability (random experiments, events, theorems, Bayes’ theorem, binomial distribution).

NDA 1 GAT Syllabus 2025

The NDA GAT syllabus is divided into two parts,   Part A (English) and Part B (General Knowledge). Furthermore, the general knowledge is divided into 6 sections, such as Physics, Chemistry, General Science, History and the Freedom Movement, Geography, and Current Events. Check the table below for important topics.

Part

Section

Important Topics

Part A

English

Grammar and usage, vocabulary, comprehension, and cohesion in extended text; understanding of English and effective use of words.

Part B

General Knowledge

Subjects: Physics, Chemistry, General Science, Social Studies, Geography, Current Events.

Section A

Physics

Physical properties (mass, weight, volume, density); Archimedes' principle, barometer; motion (velocity, acceleration, Newton's laws); force, momentum, stability, equilibrium; gravitation; work, power, energy; heat (measurement, change of state, latent heat, transfer modes); sound waves; light (reflection, refraction, mirrors, lenses); electricity; working principles of devices (e.g., pendulum, pulleys, telescope).

Section B

Chemistry

Physical and chemical changes; elements, mixtures, compounds; chemical symbols, equations; air and water properties; preparation of gases (H2, O2, N2, CO2); oxidation and reduction; acids, bases, salts; carbon forms; natural and artificial fertilizers; materials (e.g., soap, glass, cement); atomic structure, valency, molecular weights.

Section C

General Science

Living vs. non-living; cells, protoplasm, tissues; plant/animal growth and reproduction; human body and organs; common epidemics (causes, prevention); food (source, balanced diet); solar system; achievements of eminent scientists.

Section D

History & Freedom Movement

Indian history (culture, civilization); Indian freedom movement; constitution and administration; Five Year Plans; Panchayati Raj, cooperatives, Bhoodan, Sarvodaya, National Integration; teachings of Mahatma Gandhi; forces shaping modern world (Renaissance, American/French/Industrial/Russian Revolutions); science and technology; United Nations, Panchsheel, democracy, socialism, communism; India’s global role.

Section E

Geography

Earth (shape, size, latitudes, longitudes); time concept, International Date Line; earth movements, rocks, weathering, earthquakes, volcanoes; ocean currents, tides; atmosphere (composition, temperature, pressure, winds, cyclones, precipitation); climate types, world regions; India’s geography (climate, vegetation, resources, agriculture, industries, sea routes, imports, exports).

Section F

Current Events

Recent important events in India and worldwide; prominent Indian and international personalities (cultural activities, sports).

NDA 1 Exam Pattern 2025

Candidates must also check the NDA 1 exam pattern 2025 to get insight into the exam format, number of questions, and maximum marks for each section. Familiarity with the NDA 1 Exam Pattern 2025 will help candidates to align their strategy. Check the table below for the NDA exam pattern for the written exam.

Subject

Duration

Maximum Marks

Mathematics

2½ Hours

300

General Ability Test

2½ Hours

600

Total

-

900

NDA 1 Interview 2025

The SSB procedure of NDA 1 2025 consists of two stage Selection process - stage I and stage II. Only those candidates who clear stage I are permitted to appear for stage II. Check the table below stage I and stage II selection processes

UPSC NDA Syllabus 2024 for SSB
Subject Important Topics
Stage I

Intelligence Rating (OIR) tests,

Picture Perception Description Test (PP&DT)

Stage II

Interview

Group Testing Officer Tasks

Psychological Tests and
Conference

Benefits of Going through UPSC NDA Syllabus
There are various benefits of going through the updated syllabus of NDA, especially for candidates preparing for this exam cycle. Some of the beefits are listed below

Comprehensive Understanding: While going through the syllabus, candidates get a clear understanding of important topics, make their plans focus on relevant subjects

Better Time Management: A clear understanding of syllabus helps candidates make an effective study plan and ensures all the subjects gets covered within the target time.

Increased Confidence: Studying according to the syllabus increases the confidence, knowing that you are well-prepared and not wasting time on irrelevant topics.

Mohd Salman
Mohd Salman

Senior Executive

Mohd Salman is a content expert with over 6 years of experience in the education sector, who has built the categories for the SSC, Railways, Defence, Police, and State Government Exams. He previously worked with organisation like Testbook and holds a B.Tech in Information Technology. At Jagran Josh, he manages and writes for the education beat, covering all educational news for Govt Jobs notifications, and exams such as UPSC, Banking and Railways. He can be reached at mohd.salman@jagrannewmedia.com
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