UPSC holds the NDA Exam twice yearly to choose candidates for the Indian Army, Navy, and Air Force. On December 20, 2024, the Union Public Service Commission UPSC will make available the NDA Syllabus 2024 in conjunction with the NDA 1 2024 Notification. There are parts on general ability and mathematics in the NDA Syllabus 2024. There are 900 total marks in the NDA 2024 test; 300 marks are in the NDA Math Paper 1, and 600 are in NDA GTA, or NDA Paper 2. Before beginning their preparation, candidates can review the comprehensive and updated NDA syllabus 2024 provided in this article for the 2024–2025 session.
The NDA test syllabus encompasses subjects from Mathematics, Physics, Chemistry, General Knowledge, and English and is based on the 10+2 educational level. Topics covered in the mathematics paper include algebra, trigonometry, calculus, and statistics. It assesses the candidates’ mathematical abilities. The GAT paper evaluates the applicants’ logical reasoning, general knowledge, and English language skills.
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Name of the Exam  UPSC National Defence Academy & Naval Academy Examination (I) 
Number of papers  2 
Name of the paper  Mathematics and General Ability Test 
Authority Releasing the Syllabus  Union Public Service Commission, UPSC 
Frequency of exam  Twice a year (April and September) 
Language of Questions  English and Hindi 
NDA Syllabus PDF
The first prerequisite for passing the NDA exam with flying colors is the NDA Syllabus 2024. The test notice and the NDA Syllabus PDF 2024 are available on the official website. For both test papers on Mathematics and General Knowledge, a comprehensive list of themes and subtopics for each subject is available in the NDA Syllabus PDF. To ensure they ace the exam, candidates can get the NDA Syllabus PDF from the UPSC official website.
A strong understanding of the syllabus is crucial for effective exam preparation. The Union Public Service Commission (UPSC) administers the National Defence Academy (NDA) Entrance Exam, which aims to recruit candidates for the Indian Defense Forces, including the Indian Army, Indian Navy, and Indian Air Force. The NDA Exam takes place biannually and is overseen by UPSC. It encompasses various components such as interviews assessing general aptitude, psychological testing, teambuilding skills, as well as physical and social abilities, in addition to medical examinations.
NDA Syllabus 2024 pdf Download Math and GAT Online Paper Pattern
NDA Syllabus 2024 PDF Download in English
NDA Syllabus 2024 for Paper 1 – Mathematics
There are 120 questions in all on different themes related to mathematics in the NDA Paper 1. The question, which is grade 12 level, will be moderated. By the NDA Exam pattern for Paper 1, 2.5 marks will be awarded for each right response, while 0.83 marks will be subtracted for each incorrect response. This paper will take two hours and thirty minutes to complete. Algebra, matrices and determinations, trigonometry, analytical geometry, differential calculus, integral calculus and differential equations, statistics and probability, and vector algebra are among the subjects included in the NDA math syllabus.
Sections  Concepts(Topics) 
Algebra  Operations On Sets Venn Diagrams De Morgan Laws Cartesian Product Relation Equivalence Relation Representation Of Real Numbers On ALine Complex Numbers – Basic Properties Modulus Argument Cube Roots Of Unity Binary System Of Numbers Conversion of a Number in a Decimal System to a Binary System and ViceVersa Arithmetic Geometric And Harmonic Progressions Quadratic Equations With Real Coefficients Solution Of Linear Inequations Of Two Variables By Graphs Permutation And Combination Binomial Theorem And Its Application Logarithms and Their Applications Concept Of A Set 
Matrices And Determinants  Types Of Matrices Operations On Matrices Determinant Of A Matrix Basic Properties of Determinant. Adjoint And Inverse Of A Square Matrix Applications – Solution of a System of Linear Equations in Two or Three Unknowns by Cramer’s Rule and By Matrix Method. 
Analytics Geometry Of Two And Three Dimensions  Rectangular Cartesian Coordinate System Distance Formula Equation Of A Line In Various 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 A Conic Point in a ThreeDimensional Space, Distance between Two Points. Direction Cosines and Direction Ratios. The equation of a Plane and a Line in Various Forms. The angle between Two Lines and the Angle between Two Planes. The equation of a Sphere. 
Trigonometry  Angles And Their Measures In Degrees And Radians Trigonometrical Ratios Trigonometric Identities Sum And Difference Formulae Multiple And SubMultiple Angles Inverse Trigonometric Functions Applications – Height And Distance Properties of Triangles. 
Differential Calculus  Concept Of A RealValued Function – Domain Range And Graph Of A Function Composite Functions Derivative Of Function At A Point Derivatives Of Sum Product And Quotient Of Functions Derivative Of A Function With Respect For Another Function Derivative Of A Composite Function SecondOrder Derivatives Increasing And Decreasing Functions Application of Derivatives in Problems of Maxima and Minima. 
Integral Calculus  Integration As Inverse Differentiation Integration By Parts And Substitution Standard Integrals Involving Expression Of Algebraic, Trigonometric, Evaluation of Definite Integrals – Determination of Areas of Plane Regions Bounded By Curves – Applications. 
Differential Equations  Definition Of Order And Degree Of A Differential Equation Formation Of A Differential Equation General And Particular Solution Of A Differential Equation Solution Of First Order And First Degree Differential Equations Of Various Types Application In Problems Of Growth And Decay 
Statistics  Classification Of Data Frequency Distribution Cumulative Frequency Distribution – Examples Graphical Representation – Histogram Pie Chart Frequency Polygon – Examples Measures Of Central Tendency – Mean Median And Mode Variance And Standard Deviation – Determination And Comparison Correlation And Regression 
Probability  Random Experiment Outcomes And Associated Sample Space Events Mutually Exclusive And Exhaustive Events Impossible And Certain Events Union And Intersection Of Events Complementary Elementary And Composite Events Conditional Probability Bayes’ Theorem – Simple Problems Random Variable As Function On A Sample Space Binomial Distribution Examples of Random Experiments Giving Rise to Binominal Distribution. 
Vector Algebra  Vectors In Two And Three Dimensions Magnitude And Direction Of A Vector Unit And Null Vectors Addition Of Vectors Scalar Multiplication Of Vector 
NDA 2024 Syllabus for Paper 2 – General Knowledge
Multiplechoice questions are included in the NDA Paper 2 or NDA GTA test. The NDA test pattern has 150 questions in total, of which 50 are from the English part and 100 are from other areas including General Science, Physics, Chemistry, Geography, and GK.
NDA Syllabus Paper 2 Subject Wise
Part – A  English  200 Marks  
Part – B  General Knowledge  Part – A  English  200 Marks 
Part – B  General Knowledge  400 Marks 
Section A: English
The purpose of the English question paper is to evaluate the candidate’s professional vocabulary and language understanding. The curriculum spans various subjects to assess the candidate’s English skills, including vocabulary, grammar and use, comprehension, and coherence in longer texts.
Section B: General Knowledge
There will be questions from the following sections of the general knowledge exam.
General Knowledge:  The question paper comprises general knowledge and covers subjects that include Physics, Chemistry, Social Studies, General Science, Geography, and Current Events. 
Topics  Subtopics 
Physics 

Chemistry 

General Science 

Geography 

Current Events 

NDA Exam Paper Pattern
Subject  Duration  Maximum Marks 
Mathematics (Paper1) 
2 ½ Hours  300 Marks 
General Ability Test (Paper 2) 
2 ½ Hours  300 Marks 
Total  –  900 Marks 