NDA syllabus 2020 is divided into Mathematics and General Ability Test (GAT). Candidates appearing in the exam should check NDA syllabus thoroughly to know the topics they need to cover for the exam. With the help of the syllabus, candidates will be able to figure out the topics the most important and less important topics and plan their study accordingly. The standard of NDA syllabus is of Class 10, 11 and 12 level. The detailed NDA syllabus is given below.
NDA Syllabus 2020 for Mathematics
According to NDA exam pattern, this section carries a total of 120 questions. Total marks allotted to this section is 300. For correct answer 2.5 marks will be awarded. For wrong answer, 0.85 marks will be deducted. NDA question paper for Mathematics section is of  11 and 12  level. Candidates can clear their concept of Maths by referring to the NCERT books of Class 11 and 12. NDA syllabus 2020 for Mathematics is given below –
Algebra
Matrices and Determinants
Trigonometry
Analytical Geometry of Two and Three Dimensions 
Differential Calculus
Integral Calculus and Differential Equations
Vector Algebra
Statistics and Probability
Topic-wise distribution of questions in Maths
Topic
Questions
Calculus
20-25
Quadratic equation
20-15
Matrices & Determinants 
30
Probability
10
Trigonometry
30
Complex number 
10-15
Get the latest NDA syllabus in PDF format for section-wise preparation of NDA exam.
NDA Syllabus 2020 for GAT
The GAT syllabus of NDA is divided into two parts. Part A comprises questions from English while Part B carries questions from General Knowledge. Total questions in this section will be 150. Total marks for this section are 600. Each question carries 4 marks while 1.33 marks will be deducted for wrong answer.
English: The question paper in English is designed to test the candidate’s understanding of English. The syllabus covers various aspects such as Grammar and usage, vocabulary, comprehension and cohesion.
Physics
Physical Properties and States of Matter
Modes of transference of Heat
Mass
Sound waves and their properties
Weight
Simple musical instruments
Volume
Rectilinear propagation of Light
Density and Specific Gravity
Reflection and refraction
Principle of Archimedes
Spherical mirrors and Lenses
Pressure Barometer
Human Eye
Motion of objects
Natural and Artificial Magnets
Velocity and Acceleration
Properties of a Magnet
Newton’s Laws of Motion
Earth as a Magnet
Force and Momentum
Static and Current Electricity
Parallelogram of Forces
Conductors and Non-conductors
Stability and Equilibrium of bodies
Ohm’s Law
Gravitation
Simple Electrical Circuits
Elementary ideas of work
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 the following: 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.
Chemistry
Preparation and Properties of Hydrogen, Oxygen, Nitrogen and Carbon Dioxide, Oxidation and Reduction. Acids, bases and salts. Carbon— different forms
Physical and Chemical Changes
Fertilizers—Natural and Artificial
Elements
Material used in the preparation of substances like Soap, Glass, Ink, Paper, Cement, Paints, Safety Matches and Gunpowder
Mixtures and Compounds
Elementary ideas about the structure of Atom
Symbols, Formulae and simple Chemical Equation
Atomic Equivalent and Molecular Weights
Law of Chemical Combination (excluding problems)
Valency
Properties of Air and Water
General Science
Common Epidemics, their causes and prevention
Difference between the living and non-living
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
The Solar System—Meteors and Comets, Eclipses. Achievements of Eminent Scientists

History
Forces shaping the modern world; Renaissance
A broad survey of Indian History, with emphasis on Culture and Civilisation
Exploration and Discovery; War of American Independence, French Revolution, Industrial Revolution and Russian Revolution
Freedom Movement in India
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, Democracy, Socialism and Communism
Panchayati Raj
Role of India in the present world
Co-operatives and Community Development
A broad survey of Indian History, with emphasis on Culture and Civilisation
Bhoodan, Sarvodaya, National Integration and Welfare State
Basic Teachings of Mahatma Gandhi
-
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
Current Affairs
Knowledge of Important events that have happened in India in the recent years
Prominent personalities—both Indian and International including those connected with cultural activities and sports
Current important world events
-
Topic-wise distribution of questions in GAT
English
Topic
No. of Questions
No. of Marks
Spotting Errors
5
20
Comprehension
6
24
Selecting Words
10
40
Ordering of Words in a Sentence
9
36
Sentence Improvement
10
40
Antonyms
5
20
Synonyms
5
20
Total
50
200
General Knowledge
Topic
No. of Questions
No. of Marks
Physics
23
92
Chemistry
16
64
General Science
11
44
History & Freedom Movement
16
64
Geography
17
68
Current Events
17
68
Total
100
400
Books for NDA 2020
Candidates can refer to the following books for NDA. 
Subjects 
Books 
Mathematics 
·         Mathematics for NDA and NA: National Defence Academy and Naval Academy by RS Aggarwal
·         Quantitative aptitude for competitive examinations by RS Aggarwal
GAT
·         History Of Modern India (History) by Bipan Chandra
·         Science and Technology in India (Science and Technology) by Kalpana Rajaram : Spectrum
·         Objective General English for Competitive Exams by S.P. Bakshi
·         Manorama Yearbook 2019 by Mammen Mathew
How to prepare for NDA?
Candidates can follow the tips below to prepare for NDA: 
·         Fix your goal and start preparing early for the exam.
·         Be thorough with the syllabus and prepare a study routine. 
·         Clear your basic concepts from the high school books.
·         Improve your English by reading newspaper daily and brush up your grammar skills.
·         Refer to the previous years' question papers and solve as many questions as you can.
·         Attempt mock test to improve your speed and accuracy.
·         Identify your weak subjects and start working on them