The NDA or National Defence Academy exam is conducted twice every year to select cadets for the Indian Army, Indian Navy and Indian Air Force.
The tier-1 exam comprises two papers- mathematics and general ability test. With an entire paper dedicated to math and 300 marks, it calls for extra attention while you are preparing for the exam. Read NDA Exam pattern
The subject plays a vital role in attending the qualifying marks needed for the exam and have to be prepared based on your 10+2 syllabus. Check Here NDA 2021 Syllabus
|Mathematical Topics||Sub Topics|
|Algebra||Concept of a set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product relation, equivalence relation, Representation of real numbers on a line, Complex numbers – basic properties, modulus argument, Cube roots of unity, Binary system of numbers, Conversion of a number in decimal system to binary system and vice-versa, 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.|
|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|
|Matrices and Determinants||Matrices and Determinants, Operations on matrices, Determinant of a matrix, basic properties of determinants, Adjoint and the inverse of a square matrix, Applications.|
|Analytical Geometry||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 general form, Standard forms of parabola, Ellipse and hyperbola, Eccentricity and axis of a conic.|
|Vector Algebra||Vectors in two and three dimensions, magnitude and direction of a vector, Unit and null vectors addition of vectors, Scalar multiplication of vectors.|
|Statistics and Probability||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. 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.|
|Differential calculus and Integral calculus||Integration as inverse of differentiation, Integration by substitution and by parts, standard integrals involving algebraic expressions, Trigonometric, Exponential and hyperbolic functions, General and particular solution of a differential equation.|
The syllabus is entirely based on the mathematics taught at the 10+2 level at CBSE schools. The tier-1 exam is in MCQ format and conducted in conventional offline pen and paper form. The following table is a brief on the NDA I math paper-
|Question Format||MCQ (Multiple Choice Questions)|
|Number of questions||120|
|Marks for the correct answer||2.5 Marks|
|Negative marking for every wrong answer||-0.83 marks|
|Exam duration||2 hours 30 minutes (150 minutes)|
|Mathematical Topics||Marks||Number of Question|
|Algebra + Vector Algebra||75||30|
|Determinants and matrices||25||10|
|Statistics and Probability||25||10|
|Differential calculus and Integral calculus||50||20|
The math paper is designed to test the candidate's speed and accuracy of calculations and their quantitative aptitude. The key is to practice the sections that have the maximum marks weightage such that you can get every question from these sections correct.
Check Here NDA 2021 Exam Pattern
NDA I mathematics syllabus is entirely based on the 10+2 CBSE syllabus. We have prepared NDA Preparation Tips, focusing on the most important topics in Math. The following topics carry the maximum marks weightage and if you can confidently solve these sections, you can secure the qualifying marks for the paper.
To make the most of the available time, it is important to set a very realistic target for your exam preparation. Scoring approximately 135-140 in the math paper is good enough to ensure you have the required marks to meet the total NDA tier-1 cut-off.
You get approximately 40 out of the 120 questions from algebra, making it the most important topic to be prepared.
There are very few sub-topics under this one and hence, preparation becomes easier. Though you do not get too many questions from matrices, since the topic is not too vast, it is much easier to cover in minimum time. There are 8-12 questions asked on this topic.
There are several sub-topics of trigonometry and at the same time, it also carried major marks weightage in the exam.
Approximately 16-20 questions are from the probability and statistics section altogether. To ace, these sections, your conception of both topics should be very clear.
Particularly pay attention to theoretical concepts related to statistics, besides the numerical problems.
Practice the numerical on a regular basis and memorize the concepts and formulas associated with the topic.
Combined together, these sections have a major share in the questions that you get and hence you cannot leave them out.
There are approximately 4-5 questions asked from this section during the NDA math paper. If you are preparing for the exam at the last minute, you can skip this section, provided you are confident about your preparation for the other sections.
For NDA Maths Paper, nothing is more helpful than the NCERT books of Class 10, 11 and 12. But once you have clarified your conceptions by following the NCERT books, you can venture for more advanced NDA math books. The following are some of the best NDA Math Reference Books you can invest in:
|11th and 12th Mathematics books||NCERT|
|Mathematics for NDA and NA: National Defense Academy and Naval Academy by R S Aggarwal||R S Aggarwal|
|Pathfinder for NDA & NA||Experts Compilation|
|Objective General Knowledge & Current Affairs level 1||Disha Experts|
|Objective General Knowledge & Current Affairs level 2||Disha Experts|
|Mathematics for NDA/NA: National Defence Academy and Naval Academy||RS Aggarwal|
|Study Package Mathematics NDA/NA Entrance Exam||Arihant|
|Quantitative Aptitude for competitive examinations||RS Aggarwal|
|NDA Entrance Exam||ES Ramasamy|
Setting a realistic goal for your maths exam not only make sure you ace this paper but also makes your study time table more organized. The best books, a full-proof plan of action and making the most of the available time, together can make sure you crack NDA I 2021 right in your first attempt.
Question: Is there any separate paper-wise cut-off for the NDA I exam?
Ans. No, there is no paper wise cut-off for the exam but you have to secure 33% of the total marks in order to qualify for the paper. If you get the total aggregate but fail to secure 33% marks in a paper, it will not be considered.
Question: How to manage my time and cover all the subjects?
Ans. You have to set a daily 10-11hours study routine which you must dedicatedly follow. Further, segregate this time for different subjects but make sure you allow some time for math practice every day.
Question: Is it safe to skip topics and sub-topics while practising math?
Ans. If you are confident about the topics you are preparing and know for a fact that you will make minimal mistakes with them, you can skip comparatively less important topics.
Question: I belong to a different school board than CBSE. Will that be a problem in preparation?
Ans. The syllabus of CBSE Math is more or less the same as every other board but it is best to tally the syllabus with your school-level syllabus first, to find out if there are any new topics to be covered.
*The article might have information for the previous academic years, please refer the official website of the exam.