The NDA Exam syllabus 2026 is the complete subject framework defined by UPSC for the National Defence Academy examination, covering Mathematics and the General Ability Test.

If a student clearly understands the NDA syllabus, preparation automatically becomes focused and efficient because every topic studied directly relates to the exam.

Many aspirants make a common mistake at the beginning of preparation.

They start solving books, watching lectures, and collecting notes without first studying the official syllabus. This creates confusion and leads to wasted effort.

At Alpha NDA Academy, the very first step in preparation is understanding the syllabus thoroughly because it acts as a roadmap for the entire NDA journey.

The NDA written exam includes two papers. The Mathematics paper carries 300 marks and the General Ability Test carries 600 marks. Together these two papers make the written stage of 900 marks before candidates move to the SSB interview stage.

This detailed guide explains the complete NDA Exam syllabus in a clear and structured way so every student can understand what to study and how to approach preparation.

NDA Exam Syllabus 2026: Complete Exam Pattern Guide By Alpha NDA Academy

Before learning individual subjects, it is important to understand how the exam is structured. The exam pattern explains how the syllabus is tested and how marks are distributed.

NDA Exam Pattern 2026 (Quick Overview)

Exam Conducting Authority	UPSC (Union Public Service Commission)
Exam Name	National Defence Academy (NDA) Exam
Number of Papers	2 Papers
Paper 1	Mathematics
Paper 2	General Ability Test (GAT)
Total Written Marks	900 Marks
SSB Interview Marks	900 Marks
Mode of Exam	Offline (Pen and Paper)
Exam Frequency	Twice a year (NDA 1 and NDA 2)

The NDA written examination is conducted in two papers on the same day. The first paper is Mathematics and the second paper is the General Ability Test.

Mathematics carries 300 marks and has a duration of two hours and thirty minutes. The General Ability Test carries 600 marks and also has a duration of two hours and thirty minutes.

The total marks in the written exam are therefore 900. After clearing this stage, candidates appear for the SSB interview which also carries 900 marks.

All questions in the exam are objective type with four options. Negative marking is applied for incorrect answers, which means accuracy is extremely important.

At Alpha NDA coaching, students are trained not only to cover the syllabus but also to develop exam strategy. Learning how to manage time and avoid unnecessary mistakes is equally important.

Read More: Best NDA Coaching In India

NDA Syllabus for Mathematics

The Mathematics section in the NDA syllabus 2026 is designed to test analytical thinking and logical ability.

The difficulty level is generally based on concepts from Class 11 and Class 12 mathematics.

Students often feel nervous about mathematics, but when the syllabus is divided into clear topics, it becomes easier to prepare.

At Alpha NDA defence academy, mathematics is taught step by step so students develop strong fundamentals before moving to advanced problems.

NDA Mathematics Syllabus 2026 (Complete Topic-Wise Guide)

Chapter	Detailed Topics Included
Algebra	Concept of sets, operations on sets, Venn diagrams, De Morgan laws, Cartesian product, relations and equivalence relation, representation of real numbers on a line, complex numbers and their properties, modulus and argument, cube roots of unity, binary number system and conversion between decimal and binary, arithmetic progression, geometric progression and harmonic progression, quadratic equations with real coefficients, linear inequalities in two variables using graphs, permutation and combination, binomial theorem and its applications, logarithms and their applications
Matrices and Determinants	Types of matrices, operations on matrices, determinant of a matrix, properties of determinants, adjoint and inverse of a square matrix, solution of system of linear equations in two or three variables using Cramer’s rule and matrix method
Trigonometry	Angles and their measures in degrees and radians, trigonometric ratios, trigonometric identities, sum and difference formulas, multiple and sub-multiple angles, inverse trigonometric functions, applications of trigonometry including height and distance problems and properties of triangles
Analytical Geometry (2D and 3D)	Rectangular Cartesian coordinate system, distance formula, equation of a straight line in different forms, angle between two lines, distance of a point from a line, equation of a circle in standard and general form, standard forms of parabola, ellipse and hyperbola, eccentricity and axis of conic sections, coordinates in three dimensional space, distance between two points in space, direction cosines and direction ratios, equation of plane and line in space, angle between two lines and planes, equation of a sphere
Differential Calculus	Concept of real valued function, domain and range of functions, graphs of functions, composite functions, one-to-one and onto functions, inverse functions, limits of functions, standard limits, continuity of functions, derivative at a point, geometrical and physical interpretation of derivatives, derivative of sum, product and quotient of functions, derivative with respect to another function, derivative of composite functions, second order derivatives, increasing and decreasing functions, applications of derivatives including maxima and minima
Integral Calculus and Differential Equations	Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic, trigonometric, exponential and hyperbolic functions, evaluation of definite integrals, determination of area of regions bounded by curves, order and degree of differential equations, formation of differential equations, general and particular solutions of differential equations, solution of first order and first degree differential equations, applications of differential equations in growth and decay problems
Vector Algebra	Vectors in two and three dimensions, magnitude and direction of vectors, unit and null vectors, addition of vectors, scalar multiplication of vectors, scalar product (dot product) of two vectors, vector product (cross product) of two vectors, applications such as work done by a force and moment of a force in geometrical problems
Statistics and Probability	Classification of data, frequency distribution, cumulative frequency distribution, graphical representation including histogram, pie chart and frequency polygon, measures of central tendency such as mean, median and mode, variance and standard deviation, correlation and regression, concept of random experiment and sample space, mutually exclusive and exhaustive events, union and intersection of events, complementary events, classical and statistical definition of probability, elementary theorems on probability, conditional probability, Bayes theorem, random variables, binomial distribution and examples of experiments leading to binomial distribution

Algebra

Algebra is one of the most important parts of the NDA maths syllabus because many questions in the exam are based on algebraic concepts.

Students begin with sets and operations on sets. This includes union, intersection, and representation through Venn diagrams. These concepts help in understanding relationships between numbers.

Relations and functions are another important area. Students must understand how one variable is connected to another through mapping.

Arithmetic progression and geometric progression are commonly asked topics. Students must know how to find the nth term and the sum of terms in a sequence.

Quadratic equations are also frequently tested. A typical question may ask students to find the roots of an equation or identify properties of a quadratic expression.

Permutation and combination is another scoring area. These questions involve arranging objects in different ways.

The binomial theorem is used to expand algebraic expressions raised to powers.

Logarithms are also included in algebra. Students should understand how to simplify logarithmic expressions and convert between exponential and logarithmic forms.

At Alpha NDA Academy, algebra is practiced regularly because it builds the foundation for several other mathematics topics.

Matrices and Determinants

Matrices and determinants help students solve systems of equations efficiently.

Students learn different types of matrices such as row matrices, column matrices, and square matrices. They also learn operations like addition and multiplication of matrices.

Determinants are used to evaluate matrix values and solve equations.

Cramer’s rule allows students to solve simultaneous equations using determinants.

A typical question might involve calculating the determinant of a matrix or finding the solution to a pair of equations.

At Alpha NDA coaching, students practice these problems using shortcut techniques to improve speed.

Trigonometry

Trigonometry deals with the relationship between angles and sides of triangles.

Students learn trigonometric ratios such as sine, cosine, and tangent. Understanding identities is very important because many questions involve simplifying expressions.

Angles are measured in both degrees and radians, so students must know how to convert between them.

Height and distance problems apply trigonometric ratios to real-life situations.

For example, a question might ask students to calculate the height of a tower when the distance and angle of elevation are known.

At Alpha NDA Academy, trigonometry is taught with practical examples so students understand how formulas are applied.

Analytical Geometry

Analytical geometry combines algebra and geometry to study shapes using coordinates.

Students learn about the coordinate system and how to calculate distances between points.

Straight lines are represented by equations, and students must understand slope and intercept concepts.

Circles are studied through equations that describe their radius and center.

Students also learn about conic sections such as parabola, ellipse, and hyperbola.

Three-dimensional geometry introduces coordinates in space and equations of planes.

For example, students may be asked to find the equation of a circle passing through given points.

At Alpha NDA defence academy, geometry concepts are explained using diagrams and visual methods.

Differential Calculus

Differential calculus studies how functions change.

Students first learn about limits and continuity of functions.

Derivatives represent the rate of change of a function. Students must learn differentiation rules such as the chain rule and product rule.

Applications of derivatives include finding maxima and minima values of functions.

For example, a question may ask students to determine where a function reaches its maximum value.

Alpha NDA coaching ensures that students understand the logic behind derivatives instead of memorizing formulas.

Integral Calculus and Differential Equations

• Integral calculus is the reverse process of differentiation.
• Students learn indefinite integration and definite integration.
• Integration techniques include substitution and integration by parts.
• Definite integrals are often used to calculate the area under curves.
• Differential equations are also part of the syllabus. Students learn how to form and solve simple equations involving derivatives.

At Alpha NDA Academy, these topics are practiced gradually so students gain confidence step by step.

Vector Algebra

• Vector algebra deals with quantities that have both magnitude and direction.
• Students learn how to represent vectors and perform operations such as addition and scalar multiplication.
• The dot product is used to find angles between vectors.
• The cross product helps determine perpendicular directions.
• Vectors are often applied in physics problems involving force and motion.

Alpha NDA coaching explains vector concepts using real-life examples so students can understand their practical importance.

Statistics and Probability

• Statistics and probability evaluate analytical thinking.
• Students learn how to represent data through tables and graphs.
• Measures of central tendency such as mean, median, and mode are important.
• Standard deviation helps measure how data is distributed.
• Probability involves calculating the likelihood of events.

For example, a question may ask the probability of selecting a particular card from a deck.

At Alpha NDA defence academy, students practice these topics frequently because they can provide quick scoring opportunities.

Additional Important Mathematics Topics

Along with the major mathematics chapters, the NDA syllabus also includes a few smaller topics that should not be ignored.

Students must understand the binary number system, which involves converting numbers between decimal and binary formats.

Harmonic progression is another concept related to sequences.

Direction cosines are used in three-dimensional geometry to describe the direction of lines.

Second order derivatives help analyze the curvature of functions.

Bayes theorem is a probability concept used to calculate conditional probabilities.

Binomial distribution is also included and explains probability in repeated experiments.

Although these topics are smaller in scope, they sometimes appear as direct objective questions in the exam.

At Alpha NDA Academy, these topics are practiced through short exercises to ensure students are comfortable solving them quickly.

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NDA Syllabus for General Ability Test

The General Ability Test carries 600 marks, which makes it extremely important in the NDA examination. Many students underestimate this section, but it has a major influence on the final merit list.

NDA Syllabus for General Ability Test (Complete Topic-Wise guide)

Subject	Detailed Topics Included
English (200 Marks)	Grammar and usage, vocabulary building, comprehension passages, spotting errors, sentence improvement, synonyms and antonyms, idioms and phrases, ordering of words in a sentence, selecting appropriate words in context, understanding correct sentence structure
Physics	Physical properties and states of matter, mass, weight, volume, density and specific gravity, principle of Archimedes, pressure and barometer, motion of objects, velocity and acceleration, Newton’s laws of motion, force and momentum, parallelogram of forces, stability and equilibrium of bodies, gravitation, work, power and energy, effects of heat, measurement of temperature and heat, change of state and latent heat, modes of heat transfer, sound waves and their properties, reflection and refraction of light, spherical mirrors and lenses, human eye, natural and artificial magnets, Earth as a magnet, static and current electricity, conductors and nonconductors, Ohm’s law, simple electrical circuits, heating and lighting effects of current, magnetic effects of current, measurement of electrical power
Chemistry	Physical and chemical changes, elements, mixtures and compounds, symbols and chemical formulae, simple chemical equations, laws of chemical combination, properties of air and water, preparation and properties of hydrogen, oxygen, nitrogen and carbon dioxide, oxidation and reduction, acids, bases and salts, forms of carbon, natural and artificial fertilizers, materials used in everyday life such as soap, glass, ink, paper, cement, paints, safety matches and gun powder, basic structure of atom, atomic equivalents, molecular weights and valency
General Science	Difference between living and non-living things, cell structure including protoplasm and tissues, growth and reproduction in plants and animals, basic knowledge of human body and vital organs, common diseases and epidemics with their causes and prevention, nutrition and balanced diet, solar system including planets, meteors, comets and eclipses, contributions of famous scientists
History and Freedom Movement	Indian history with focus on culture and civilization, Indian freedom struggle and major movements, elementary knowledge of Indian constitution and administration, Five Year Plans in India, Panchayati Raj system, cooperatives and community development programs, Bhoodan and Sarvodaya movements, national integration and welfare state concept, teachings of Mahatma Gandhi, global historical developments such as Renaissance, exploration and discovery, American War of Independence, French Revolution, Industrial Revolution and Russian Revolution, role of science and technology in modern society, United Nations, Panchsheel, democracy, socialism and communism
Geography	Earth and its shape and size, latitudes and longitudes, concept of time and international date line, movements of the Earth and their effects, origin of Earth, classification of rocks, weathering processes, earthquakes and volcanoes, ocean currents and tides, atmosphere composition, temperature and atmospheric pressure, planetary winds, cyclones and anticyclones, humidity, condensation and precipitation, world climatic regions, regional geography of India including climate, natural vegetation and resources, mineral and power resources, distribution of agricultural and industrial activities, important seaports and transport routes of India, major imports and exports
Current Events / Current Affairs	Important national events in recent years, major international events, important government policies and initiatives, achievements in science and technology, sports events and awards, prominent personalities from India and around the world including cultural and sports figures

The GAT paper is divided into two parts.

Part A includes English questions.

Part B includes General Knowledge questions covering science, history, geography, and current affairs.

At Alpha NDA coaching, students prepare these sections simultaneously so their NDA preparation remains balanced.

English Section

The English section evaluates a candidate’s ability to understand and use the language correctly.

Students must learn grammar rules such as tenses, articles, prepositions, and sentence structure.

Vocabulary is another important part. Questions often ask about synonyms and antonyms.

Reading comprehension passages test the ability to understand written text.

For example, students may read a paragraph and answer questions related to its meaning.

Regular reading helps improve English skills.

Alpha NDA defence academy conducts daily English practice sessions so students gradually improve their language ability.

Physics

• Physics questions test fundamental scientific principles.
• Students study motion, velocity, acceleration, and Newton’s laws of motion.
• Work, power, and energy are important concepts related to physical processes.
• Heat and temperature explain how thermal energy behaves.
• Sound and light involve wave properties and reflection or refraction.
• Electricity includes basic circuits and current flow.

Students should also understand practical applications such as simple machines, optical instruments, and electrical circuits.

For example, understanding how telescopes and microscopes work can help answer conceptual questions.

Alpha NDA Academy explains physics concepts through real-life demonstrations.

Chemistry

• Chemistry questions test knowledge of substances and reactions.
• Students learn about elements, compounds, and mixtures.
• Chemical reactions and laws of chemical combination are important.
• Acids, bases, and salts must be understood along with their properties.
• Atomic structure and valency explain how atoms combine to form molecules.
• Chemistry also includes everyday materials such as soap, glass, cement, and fertilizers.

At Alpha NDA coaching, chemistry is taught using simple examples from daily life.

General Science

General science mainly includes biology topics.

• Students study the structure of plants and animals, including cells and tissues.
• Human body functions and health topics such as nutrition and diseases are included.
• The syllabus also covers the solar system and natural phenomena like eclipses.
• Students should also learn about famous scientists and their discoveries.

Alpha NDA defence academy uses diagrams and visual explanations to simplify biology concepts.

History and Freedom Movement

History in the NDA syllabus focuses on Indian civilization and the freedom movement.

Students learn about important historical events and leaders who played key roles in India’s independence.

Understanding the Indian Constitution and administrative structure is also important.

Students should know about Panchayati Raj and Five Year Plans, which explain India’s governance and development strategies.

World history topics such as the Renaissance and Industrial Revolution are also included because they shaped modern society.

At Alpha NDA Academy, history is taught through timelines so students can easily remember events.

Geography

• Geography focuses on understanding the earth and its physical features.
• Students study the structure of the earth, climate patterns, and natural resources.
• Indian geography includes rivers, mountains, agriculture, and industries.
• World geography includes continents, oceans, and climatic regions.
• Learning geography with maps helps students remember locations and features.

Alpha NDA coaching uses map-based learning techniques for better understanding.

Current Affairs

Current affairs test awareness of recent national and international events.

Students should stay updated with important developments in politics, science, sports, and global relations.

Questions may include achievements of famous personalities or major global events.

Alpha NDA defence academy provides regular current affairs sessions and quizzes so students remain informed.

Smart Study Approach for NDA Syllabus 2026

• Understanding the syllabus is only the first step. Students must also develop an effective study strategy.
• First, divide the NDA syllabus 2026 into weekly targets.
• Second, revise topics regularly to strengthen memory.
• Third, solve previous year question papers to understand exam patterns.
• Fourth, attempt mock tests to evaluate progress.

At Alpha NDA Academy, students follow a structured study plan that combines concept learning, practice, and revision.

Conclusion

The NDA syllabus 2026 is the complete academic roadmap for students preparing for the National Defence Academy examination.

It includes mathematics topics such as algebra, trigonometry, calculus, vector algebra, statistics, and probability along with the General Ability Test subjects including English, physics, chemistry, general science, history, geography, and current affairs.

When students study according to the official syllabus and practice regularly, preparation becomes much more effective.

Alpha NDA Academy’s approach is structured learning based on the syllabus so students stay focused on what UPSC actually tests.

By following the NDA Exam syllabus 2026 carefully and practicing each topic step by step, every serious aspirant can build the knowledge and confidence needed to succeed in the NDA examination.

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