NDA 1 Question Paper 2025 OUT: Download Question Paper PDFs for Maths & GAT

The Paper 1 of NDA Maths section carries 300 marks. The exam comprises of 120 questions in maths from Class 12 level. For each correct answer,   candidate get 2.5 marks. Additionally, 0.83 mark is deducted for wrong response. Questions in Maths are asked from Algebra, Calculus,  Matrices and Determinants,  Integral Calculus and Differential Equations, Trigonometry,  Vector Algebra, Analytical Geometry Of Two and Three Dimension and Statistics and  Probability. 

The calculus chapter of NDA comprises topics such as 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 minimal.

NDA syllabus comprises two papers-GAT and Maths. In GAT, candidates need to prepare well especially the General Awareness section as it is vast and includes physics, chemistry, general science, history, geography and current events. Candidates can check below the suggested subjects.

NDA Syllabus for English

• List of Synonyms and Antonyms

• List of One Word Substitutions

• List of Homophones/Homonyms

NDA Syllabus for Current Affairs

For the current events category, students must be read news related to sports, economics, politics, national and international events.

General Science

• Common Epidemics, their causes and prevention

• Difference between the living and nonliving

• Food—Source of Energy for man

• Basis of Life—Cells, Protoplasms and Tissues

• Constituents of food

• Growth and Reproduction in Plants and Animals

• Balanced Diet

• Elementary knowledge of Human Body and its important organs

Geography

• The Earth, its shape and size

• Ocean Currents and Tides Atmosphere and its composition

• Latitudes and Longitudes

• Temperature and Atmospheric Pressure, Planetary Winds, Cyclones and Anticyclones; Humidity; Condensation and Precipitation

• Concept of time

• Types of Climate

• International Date Line

• Major Natural Regions of the World

• Movements of Earth and their effects

• Regional Geography of India

• Climate, Natural vegetation. Mineral and Power resources; 

• Location and distribution of agricultural and Industrial activities

• Origin of Earth. Rocks and their classification

• Important Sea ports and main sea, land and air routes of India

• Weathering—Mechanical and Chemical, Earthquakes and Volcanoes

• Main items of Imports and Exports of India

History

• Forces shaping the modern world; 

• Renaissance

• Exploration and Discovery; 

• A broad survey of Indian History, with emphasis on Culture and Civilisation

• Freedom Movement in India

• French Revolution, Industrial Revolution and Russian Revolution

• War of American Independence,

• Impact of Science and Technology on Society

• Elementary study of Indian Constitution and Administration

• Concept of one World

• Elementary knowledge of Five Year Plans of India

• United Nations, 

• Panchsheel, 

• Panchayati Raj, Democracy, Socialism and Communism

• Role of India in the present world

• Co-operatives and Community Development

• Bhoodan, Sarvodaya, 

• National Integration and Welfare State

• Basic Teachings of Mahatma Gandhi

Chemistry

• Physical and Chemical Changes

• Acids, bases and salts

• Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction

• Elementary ideas about the structure of Atom

• Symbols, Formulae and simple Chemical Equations

• Atomic Equivalent and Molecular Weights

• Mixtures and Compounds

• Law of Chemical Combination (excluding problems)

• Properties of Air and Water

• Valency

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

• Fertilizers — Natural and Artificial

• Elements

Physics

• Static and Current Electricity

• Newton’s Laws of Motion

• Earth as a Magnet

• Force and Momentum

• Spherical mirrors and Lenses

• Pressure Barometer

• Human Eye

• Reflection and refraction

• Principle of Archimedes

• Physical Properties and States of Matter

• Modes of transference of Heat

• Mass, Weight, Volume, Sound waves and their properties

• Simple musical instruments

• Rectilinear propagation of Light

• Density and Specific Gravity

• Parallelogram of Forces

• Conductors and Non-conductors

• Stability and Equilibrium of bodies

• Ohm’s Law

• Gravitation

• Simple Electrical Circuits

• Elementary ideas of work

• Motion of objects

• Natural and Artificial Magnets

• Velocity and Acceleration

• Properties of a Magnet

• Heating, Lighting and Magnetic effects of Current

• Power and Energy

• Measurement of Electrical Power

• Effects of Heat

• Primary and Secondary Cells

• Measurement of Temperature and Heat

• Use of X-Rays

• General Principles in the working of Simple Pendulum, Simple Pulleys, Siphon, Levers, Balloon, Pumps, Hydrometer, Pressure Cooker, Thermos Flask, Gramophone, Telegraphs, Telephone, Periscope, Telescope, Microscope, Mariner’s Compass; Lightning Conductors, Safety Fuses

NDA Maths Syllabus

• Algebra
• Calculus
• Matrices and Determinants
• Integral Calculus and Differential Equations
• Trigonometry
• Vector Algebra
• Analytical Geometry of Two and Three Dimension
• Statistics and Probability

Past years' question papers can be a valuable resource for preparing for the NDA exam. They can provide candidates with an understanding of the types of questions that may be asked, the format of the exam, and the level of difficulty. However, it is important to note that the NDA exam is constantly evolving, and the questions may change from year to year. Therefore, it is important to use past years' question papers in along with other study materials and resources, such as practice tests, study guides, and tutorials.

The question paper of NDA is set in both English and Hindi. All the questions in the exam are objective type. There are a total of 150 questions in GAT while the Mathematics part carry a total of 120 questions.

 NDA exam carries two papers-Maths and GAT of Class 10, 11 & 12 levels. The GAT paper is further divided into two parts-English and General Awareness. With a good preparation, candidates can crack the exam. Candidates can also refer to the high school level books to clear their concepts of topics asked in the exam.