NDA Maths Syllabus 2026 carries the chapters that candidates have studied from Classes 9 to 12. Candidates can ace this section with practice. It is advised to solve NDA Maths previous years question papers. Read below for more details on NDA Maths syllabus.
NDA Maths Syllabus 2026 is prescribed by Union Public Service Commission. The standard of the syllabus is of high school level. NDA Maths syllabus carries chapters such as Matrices and Determinants, Sets, Venn Diagram, Trigonometry, 2D and 3D Geometry, Differential Calculus, etc. Candidates can refer to the NCERT Maths books to learn the concepts of topics given in the UPSC NDA 2026 exam syllabus. The theorems and formulas should be at the finger tips. It is also necessary to solve the NDA Maths sample papers. This helps in knowing the question type. NDA cut off for this section is 25 per cent. Candidates can download the NDA syllabus pdf provided on this page and start practising. Read below for more details on NDA syllabus.
- NDA Maths Syllabus 2026
- NDA Maths 2026 Syllabus Chapter-Wise
- NDA Maths Syllabus Chapter Wise Weightage
- NDA Maths Syllabus Best Books
- How to Prepare for NDA Maths Paper?
NDA Maths Syllabus 2026
NDA exam is conducted for admission of candidates to the National Defence Academy and Indian Naval Academy. NDA exam Maths paper carries 120 questions and the total marks allotted to this paper are 300. Candidates are given 2 ½ hours to solve this paper. NDA Mathematics syllabus carries questions from Arithmetic, Mensuration, Algebra, Geometry, Trigonometry, Statistics, etc. Matrices and Determinants. For a correct answer in Maths paper, candidates score 2.5 marks while 0.83 marks are deducted for wrong answers.
Commonly asked questions
NDA syllabus is prescribed by the examination authority. The syllabus comprises the topics that candidates need to prepare for the exam. The first and foremost step towards preparation is going through the syllabus. Knowing the syllabus helps candidates to plan a strategy to ace the exam, thereby, giving them the right direction for preparation. NDA syllabus has two sections for the written exam, General Ability Test (GAT) and Mathematics. GAT aims to test the candidate's basic knowledge of History, GK, Current Affairs of National and International Events, English, Science, and Geography. On the other hand, the Mathematics paper of NDA comprises questions based on Class 12. The GAT paper holds the maximum weightage in the syllabus.
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NDA exam consists of questions that are of Class 12 standard. To clear the basic concepts, NCERT books are the best resource for preparation. Candidates can refer to the NCERT books for Class 10, 11 and 12.
NDA Maths 2026 Syllabus Chapter-Wise
The topics given in NDA Mathematics syllabus assess a candidate’s calculation skills. Candidates can check below NDA Maths Chapter-wise syllabus. Candidates must understand the concepts of Mathematics to complete the NDA Maths Syllabus. Candidates can check out the detailed NDA Mathematics Syllabus from the table mentioned below:
| Topics | Sub-Topics |
|---|---|
| Algebra |
Sets, Venn diagrams, De Morgan laws, Cartesian product, relation, equivalence relation. Real numbers, Complex numbers, Modulus, Cube roots, Conversion of a number in Binary system to Decimals and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations, Linear inequations, Permutation and Combination, Binomial theorem and Logarithms. |
| Calculus |
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 minima |
| Matrices and Determinants |
Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. 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. |
| Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals—determination of areas of plane regions bounded by curves-applications. Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of differential equations, solution of first order and first-degree differential equations of various types—examples. Application in problems of growth and decay. |
|
| Trigonometry |
Angles and their measures in degrees and in radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles. |
| Vectors in two and three dimensions, magnitude, and direction of a vector. Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product, or dot product of two vectors. Vector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems. |
|
| Analytical Geometry Of Two and Three Dimension |
Rectangular Cartesian Coordinate system, Distance formula, Equation of a line in various forms. The angle between two lines. Distance of a point from a line. Equation of a circle in standard and in a general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. Point in a three-dimensional space, the distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere. |
| Statistics and Probability |
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. Definition of probability—classical and statistical—examples. Elementary theorems on probability-simple problems. Conditional probability, Bayes’ theorem—simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution. |
Also Read:
NDA Syllabus
NDA 2026 Maths Syllabus: Topic-wise Marks
The calculation of marks are done as per the marking scheme. The total marks allotted to the test are 900. NDA Maths syllabus with marks is given in the table below.
| Topic | Marks (Approx) |
|---|---|
| Algebra and Vector Algebra |
100 |
| Trigonometry |
50 |
| Determinants and Matrices |
25 |
| Statistics and Probability |
25 |
| Analytical Geometry |
50 |
| Differential and Integral Calculus |
50 |
NDA Maths Syllabus Chapter Wise Weightage
The table below provides NDA chapter-wise weightage.
| Topic | No. of Questions (estimate) |
|---|---|
| Algebra and Vector Algebra |
40 |
| Trigonometry |
20 |
| Determinants and Matrices |
10 |
| Statistics and Probability |
10 |
| Analytical Geometry |
20 |
| Differential and Integral Calculus |
20 |
Commonly asked questions
NDA exam is conducted for admission to the Army, Navy and Air Force wings of National Defence Academy and Indian Naval Academy Course. CDS exam is conducted to select eligible candidates for Indian Military Academy (IMA), Indian Naval Academy (INA), Air Force Academy (AFA) and Officers Training Academy (OTA).
The level of NDA syllabus is of Class 10, 11 and 12 levels. Whereas the standard of CDS syllabus is of graduation level. NDA syllabus is divided into Maths and GAT. CDS syllabus is divided into Elementary Maths, English and General Awareness. The total marks allotted to the NDA written exam are 900. The total marks allotted to the written exam of CDS are 300 for IMA, INA and AFA and 200 for OTA.
NDA syllabus PDF is divided into Maths and GAT. The total marks allotted to the written exam are 900. The standard of the syllabus is of Classes 10, 11 and 12 levels. Candidates should be thorough with the syllabus.
NDA Maths Syllabus Best Books
NDA Maths books are the best resource to prepare for the exam. Candidates can refer to the NDA Maths books to clear the concepts given in the syllabus.
| Book Title | Author/Publisher |
|---|---|
| Mathematics for NDA and NA: National Defense Academy and Naval Academy |
R S Aggarwal |
| Quantitative Aptitude for Competitive Examinations |
R S Aggarwal |
| Study Package Mathematics NDA/NA Entrance Exam |
Arihant |
| Path Finder for NDA and NA National Defense Academy/Naval Academy Entrance Examination |
Arihant |
| NDA Mathematics (Hindi) |
RPH Editorial Board |
| NDA and NA Entrance Examination: Previous Solved Papers |
R. Gupta |
| Mathematics Textbook for Class XI & XII |
NCERT |
Upcoming Sarkari Exam Dates
20 May '26 - 9 Jun '26
9 Jun '26
11 May '26 - 10 Jun '26
RRB NTPC
21 Jun '26
21 May '26 - 22 Jun '26
19 Jul '26
22 Aug '26 - 23 Aug '26
31 Jul '26 - 30 Sep '26
6 Oct '26 - 5 Nov '26
How to Prepare for NDA Maths Paper?
Candidates need to be clear the concepts given in the NDA & NA Maths syllabus. It is also necessary to make notes while revising each chapter. Check below NDA Maths preparation plan.
- Candidates must have a clear understanding of the NDA Maths syllabus
- Mark the important topics after analyzing the NDA previous years’ question papers
- Start preparing the important topics first
- Solve mock tests to get an idea about the type of questions asked in the exam
- Candidates must learn tips, tricks and shortcuts for efficient time management
- Make notes of shortcuts and formulas to refer to during last-minute revision
- Candidates must refer to good Mathematics books for NDA preparation
Read More:
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Student Forum
Anything you would want to ask experts?Answered a week ago
Yes, you can give the NDA exam as you have qualified the Class 12 exam. As per the age requirement candidates age should lie between 16.5 to 19.5 years to apply for the NDA exam. However, go through the eligibility criteria properly once before applying for the exam.
S
Contributor-Level 7
Answered 2 weeks ago
A candidate who want to give the NDA 2 2026 exam, the required birth date range between January 2, 2008 and January 1, 2011.
I
Contributor-Level 6
Answered 2 weeks ago
This is the right time to start the preparation for the NDA. First understand the NDA exam pattern and check the syllabus. Then, you should focus on NCERT, solve previous year question papers, read news paper daily, maintain a formula book and revise it, start some physical routine of few minutes on
G
Contributor-Level 7
Answered a month ago
To know the specific venue in Vijayawada, candidate need to check the admit card released by the UPSC. It has been allotted via first-come, first-served basis during the filling out of the application form.
I
Contributor-Level 6
Answered a month ago
The NDA 1 2026 notification was released by the UPSC on December 10 at upsc.gov.in. Along with the notification, the application process started. The last date to apply was December 30, 2025.
J
Contributor-Level 7
Answered a month ago
The UPSC will conduct the NDA 2 exam on September 13, 2026. The official provisional answer key will be released on the official portal at upsc.gov.in. Candidates will be able to download the answer key PDF for all sets from this page as well.
C
Contributor-Level 7
Answered 2 months ago
The NDA 2 admit card will be released a few days before the examination date at upsc.gov.in. Candidates will be able to download their e-hall ticket by visiting the official website or via direct link provided on this page once it is released. The NDA 2 exam is scheduled to be conducted on September
K
Contributor-Level 7
Answered 2 months ago
The Commission released the NDA 2 notification 2026 on the official portal at upsc.gov.in on May 20, 2026. The last date to apply for NDA 2 will be June 9, 2026.
S
Contributor-Level 10
Answered 2 months ago
The Commission released the NDA 1 notification 2026 on December 10. Along with the notification, the application process was started. The last date to fill the application form online was December 30.
K
Contributor-Level 7
Answered 2 months ago
The Mathematics syllabus of NDA written exam consists of Algebra, Trigonometry, Analytical Geometry, Calculus, Statistics and Probability that is all base on 10+2 level.
G
Contributor-Level 7