Important Tips to Prepare Mathematics for NDA & NA 2022 Exam

By Dhruv Kumar|Updated : December 23rd, 2021

NDA exam is a multiple-choice question-based exam broadly divided into 2 parts: Mathematics and General Ability Test. The overall paper is of 900 marks, out of which, Mathematics section accounts for 300 marks. Hence, scoring well in the Maths section is very crucial for clearing the written exam cutoff. Maths section can be scoring if the students are thorough with the concepts of this section, one can solve all the questions with 100% accuracy and there is a little scope of errors.

Here are some important tips on how to prepare the mathematics section for NDA & NA 1 2022 Exam. The NDA Mathematics preparation tips shared below also cover the estimated number of questions that might be asked from different sub-sections as well as the strategy to prepare them. So, read these tips to prepare for the Maths section of the NDA 1 2022 exam to give your preparation an edge over others!

Table of Content

Important Strategy to Prepare Maths for NDA & NA 2022 Exam

First, let us talk about the pattern of the Mathematics section.

  • Total duration: 2 ½ hours
  • Total Number of Questions: 120
  • Marks for each correct answer: +2.5
  • Marks for each wrong answer: -0.83
  • Maximum marks: 300

Below table mentions the topics that are asked & the number of questions asked topic wise.


Marks (estimate)

No. of Questions (estimate)

Sub Topics

Algebra and Vector Algebra



  • Sets
  • Venn Diagrams and De Morgan Laws
  • Cartesian Product Relation
  • Real and Complex Numbers
  • Binary System
  • Conversion - decimal to binary and vice versa
  • Arithmetic, Geometric, and Harmonic Progressions
  • Equivalence Relation
  • Cube root of unity
  • Quadratic equations
  • Linear Equations
  • Permutations and Combinations
  • Binomial Theorem and applications
  • Logarithms and applications
  • 2-D and 3-D Vectors
  • Magnitude and direction
  • Unit and null vectors
  • Vector Addition
  • Scalar multiplication of vectors




  • Angles and their degree and radians measure
  • Trigonometric ratios and identities
  • Sum and difference formulae
  • Multiple and sub-multiple angles
  • Properties of triangle
  • Inverse trigonometric functions
  • Applications

Determinants and Matrices



  • Types of matrices
  • Determinant and properties
  • Operations on matrices
  • Adjoint and inverse
  • Applications

Statistics and Probability



  • Classification of data
  • Frequency Distribution
  • Cumulative Frequency Distribution
  • Histogram, Pie Chart, Frequency Polygon
  • Measure of central tendency
  • Variance and standard deviance
  • Correlation and regression
  • Random experiment
  • Outcomes and sample spaces
  • Events and types
  • Conditional probability
  • Bayes’ theorem
  • Random variable
  • Binomial distribution

Analytical Geometry



  • Rectangular Cartesian Coordinate System
  • Distance Formula
  • Equation of a line
  • Angle between two lines
  • Distance of a point from a line
  • Equation of a circle
  • Ellipse, Parabola, and Hyperbola
  • Eccentricity and axis of a cone

Differential and Integral Calculus



  • Real valued function
  • Range and graph of a function
  • Composite function
  • Product and quotient of a function
  • Derivative of a function at a point
  • Derivative of sum
  • Derivative of function with respect to another function
  • Derivative of a composite function
  • Second order derivatives
  • Increasing and decreasing functions
  • Applications
  • Integration as inverse of differentiation
  • Integration by substitution and by parts
  • Standard integrals
  • Trigonometric, exponential, and hyperbolic functions
  • General and particular solution of a differential equation

The candidate can refer to any of the under-mentioned books to aid in their preparation of the mathematics section of NDA exam:


Download the schedule of Zero to Hero for NDA 2022 by clicking here

“Math & Science are the deciding factors which determine the chances of a student to clear the Cut-off for NDA Exam and the recent trend suggests the Cut-off is on the increasing trend which only suggests that no stones can be left unturned while preparing for NDA 2022 Exam” Said Sanjeev sir who will be one of the hosts for our Zero to Hero Series for NDA 2022 Exam. 

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Books for NDA Mathematics

Book Title


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


Path Finder for NDA and NA National Defense Academy/Naval Academy Entrance Examination


NDA Mathematics (Hindi)

RPH Editorial Board

NDA and NA Entrance Examination: Previous Solved Papers

R. Gupta

Mathematics Textbook for Class XI & XII


Mathematics Preparation Tips for NDA Exam

  • The candidates must have a clear understanding of the syllabus & should note important and scoring topics based on the analysis of previous year papers. 
  • The candidates should make a proper time table allotting more time to important & high weightage topics.
  • The candidates should solve online mock papers to get the real feel of examination & get habitual with time bounded practice. It will develop the ability to solve maximum questions in limited time. Also solve previous year questions chapter wise to get the understanding of level of questions that are asked.
  • The candidates should learn shortcut tricks that can come handy during the exam time. You can refer to You Tube videos for that.
  • The candidates should remember fast calculation techniques for finding squares & cubes.
  • Make a important formula & shortcuts notes for quick revision.
  • The candidates should focus on developing the accuracy while solving the problems in time bound manner. One wrong question can keep you out of the race.

Here are the details of important topics for NDA Mathematics section

  1. Algebra - Questions that are asked from this section are usually easy. Most questions are formula & result oriented. So make sure you remember all the important results of complex numbers (cube root of unity, conjugate, etc), Binomial theorem, P&C.
  2. Calculus - It has important chapters like Application of derivatives, differentiation, definite integral, Area under the curve etc. If you develop good understanding of graphs & how to use them, you can score good marks in this section
  3. Coordinate Geometry - This is most scoring topics in NDA. This is another topic that can help you to acquire maximum marks.

Give more importance to chapters like Vectors, complex number and 3-D as compared to Probability or Indefinite integration. Most of the questions asked are result based. so make sure you maintain notes of all important formulas & results.

Hoping this article will help you in framing a winner strategy for NDA Maths section. We will be posting more such article, stay tuned. Join BYJU'S Online Classroom Program classes for the NDA & Other Exam is a platform that gives you exposure to all the probable criteria of selection in the examination. You can opt for the upcoming exams in the same category by taking up a BYJU'S Exam Prep NDA & Other exams Classroom Program & Test Series.

Important Links

NDA Eligibility Criteria

NDA Salary & Job Profile

NDA Previous Year Papers

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  • 120 questions are asked that constitutes total of 300 Marks (Paper 1)

  • Yes, .83 marks will be deducted on every wrong response

  • Topics like Complex numbers, P&C, vectors & 3 D, Binomial theorem, trigonometry ratios & identities, coordinate geometry & calculus are high weightage topics.

  • The candidate can refer to any of the under-mentioned books to aid in their preparation of the mathematics section of NDA exam:

    1. R S Aggarwal: Mathematics for NDA and NA: National Defense Academy and Naval Academy

    2. Arihant Study Package Mathematics NDA/NA Entrance Exam

    3. Path Finder for NDA and NA National Defense Academy/Naval Academy Entrance Examination

    4. NCERT Mathematics Textbook for Class XI & XII

  • The level of questions that are asked is moderate. First of all make work on your subject & conceptual understanding & then start with practicing PYQs & some extra questions from the books that you have. In the end it all comes down to speed & accuracy, that is how fast you can apply your concept understanding & solve the questions. Always practice in time bound manner.

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