How to prepare for NDA Mathematics exam ?

How to prepare for NDA Mathematics exam

Table of Contents



In our previous blog we discuss strategies and tips to prepare for NDA GAT exam and here we will discuss best practices to succeed in NDA Mathematics exam.

Understanding NDA Mathematics Exam Pattern & Syllabus

Before preparing for NDA Mathematics Exam, it’s important to understand exam pattern and syllabus.

Quick Overview of NDA Mathematics exam

Total Questions


Total Marks


Exam Mode       


Topics covered

Algebra, Matrices, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, Vector Algebra, and Statistics and Probability. 

Exam duration

2 ½ hour

Exam format


Correct Answer

2.5 mark

Negative Mark


-(0.83) mark


The NDA Mathematics exam, tests your fundamental mathematical concepts covered in 10th, 11th, and 12th NCERT. Topics covered are, Algebra, Matrices, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, Vector Algebra, and Statistics and Probability. 

NDA Mathematics Syllabus


Sub Topic



1.Sets (Concepts & Operations)

2.Venn diagram

3.De Morgan’s Law

4.Cartesian Product


6.Equivalence Relation

7.Real Numbers

8.Complex Numbers


10.Cube Root

11.Conversion of a number (Binary to Decimal & Decimal to Binary)


13.Geometric and Harmonic Progressions

14.Quadratic Equations

15.Linear Inequations

16.Permutation and Combination

17.Binomial Theorem



1.Concept of a real valued function


3.Range and Graph of a function

4.Composite functions

5.One to One

6.Onto and Inverse Functions

7.Notion of limit

8.Standard limits

9.Continuity of functions

10.Algebric Operations on Continuous functions

11.Derivative of function at a point

12.Geometrical and Physical Interpretation of a

derivative application

13.Derivatives of sum

14.Product and Quotient of functions

15.Derivative of a function with respect to

another function

16.Derivative of a Composite Function

17.Second Order Derivatives

18.Increasing and Decreasing Function

19.Application of Derivatives in problems of Maxima and Minima

Matrices and Determinants

1.Types of matrices

2.Operations on matrices

3.Determinant of a matrix

4.Basic Properties of Determinants

5.Adjoint and Inverse of a Square Matrix

6.Applications-Solution of a system of Linear

Equations in two or three unknown by –

•        Cramer’s Rule

•        Matrix Method

Integral Calculus and Differential Equations

1.Integration as inverse of differentiation

2.Integration by substitution and by parts

3.Standard Integrals involving algebraic



5.Exponential and Hyperbolic Functions

6.Evaluation of definite Integrals – Determination of areas of plane regions bounded by curves-applications

7.Definition of order and degree of a differential

equation by examples.

8.General and particular solution of differential


9.Solution of first order and first-degree

differential equations of various types by


10.Application in problems of growth and decay


1.Angles and their measures in degrees and in


2.Trigonometric Ratio

3.Trigonometric Identities

4.Sum and Difference Formulae

5.Multiple and Sub-Multiple Angles

6.Inverse Trigonometric Functions

7.Applications – Height and Distance

8.Properties of Triangles

Vector Algebra


1.Vectors in two and three dimensions

2.Magnitude and Direction of a vector

3.Unit and Null Vectors

4.The Addition of Vectors

5.Scalar Multiplication of a Vector

6.Scalar Product

7.Dot Product of two vectors

8.Vector product or Cross product of two vectors

9.Applications- Work done by Force and Moment of Force in Geometrical Problems.

Analytical Geometry of Two or Three Dimension


1.Rectangular Cartesian Coordinate System

2.Distance Formula

3.Equation of a line in various forms

4.The angle between two lines

5.Distance of a point from a line

6.Equation of a circle in standard and in a general form

7.Standard forms of Parabola, Ellipse and


8.Eccentricity and Axis of a conic

9.Point in a three-dimensional space

10.The distance between two points

11.Direction, Cosines and Direction Ratio

12. Equation two points

13.Direction Cosines and direction ratios

14. Equation of a plane and a line in various


15.Angle between two lines and angle between

two planes

16.Equation of a sphere

Statistics and Probability


1.Probability: Random experiment, outcomes,

and associated sample space, events, mutually

exclusive and exhaustive events, impossible and certain events

2.Union and Intersection of events.

Complementary, elementary, and composite


3.Definition of probability—classical and


4.Elementary theorems on probability-simple


5. Conditional probability, Bayes’ theorem—

simple problems

6. Random variable as function on a sample


7.Binomial Distribution

8. Examples of random experiments giving rise to Binomial distribution

Effective Study Strategies

Effective Study Strategies

Practice: More you practice, better you become.

  • Previous Years’ Papers:Solving previous year NDA exam papers will help you to understand the exam pattern, question format, difficulty level, and recurring themes, this will also help you to understand your weak areas.
  • Mock Tests:Mock tests are also great way to familiarize yourself with the exam pattern and it also helps you to check your progress, identify your weak topics, and how much time you’re taking in each question.
  • Topic-wise Practice: Topic-wise practice allows you to identify areas where you need improvement. You can then focus on those specific topics.
  • Revision: Revision helps you understand areas where you need more attention, Regular revision allows you to make sure that you’re prepared and confident for the real exam.

Time Management: Solving 120 questions in 2.5 hours can be tough, to tackle this situation try to solve mock test papers and in a time limit of 2.5 hours. This will help you to understand your pace and develop effective time management skills to avoid any last-minute rush.

Understanding Over Memorization: While formulas are important, but simply memorizing them is not enough. Focus on understanding concepts and how formulas are derived. By focusing on understanding concepts, you develop strong logical and reasoning skills. Understanding Mathematical principles helps you to choose the most suitable method to solve a problem, saving your valuable time during the exam.

When you truly understand a concept, you retain it for longer and can apply it to various situations, but simply memorizing a topic you might not be able to recall it when it needed, leaving you vulnerable if you encounter the concept in a slightly different form.

Creating a Study Plan

Creating a study plan based on your strengths and weaknesses helps you creates a clear roadmap for your NDA exam preparation.

  • Effective Time Management:NDA exam covers a vast syllabus. A study plan helps you to allocate time effectively for each subject and topic ensuring that you can focus on your weak topics and maximize your learning. 
  • Prioritize: A good study plan allows you to prioritize topics based on their weightage in the exam and your individual strengths and weaknesses. This ensures you focus on areas that need improvement while maintaining a grasp on stronger subjects.
  • Structured Approach:With a clear plan you can stay focused on your daily or weekly tasks, and avoid procrastination. 
  • Achievement: As you complete your daily tasks, you experience a sense of accomplishment that helps you to say motivated for your preparation.
  • Stress and Anxiety: If you haven’t created your study schedule you might experience Stress and Anxiety during your exam preparation , Nda exam covers a vast syllabus not having a plan can overwhelm you but having a plan in place can significantly reduce your exam anxiety. You know exactly what you need to cover and by when, eliminating the stress of feeling unprepared or overwhelmed by the vast syllabus.
  • Tracking Progress: A study plan allows you to track your progress by setting realistic goals and deadlines.


Here are some valuable resources to help in your NDA Mathematics exam preparation:

    • Reference Books: Popular options include RS Aggarwal, Pathfinder NDA & NA by Arihant Publications, Mathematics for NDA and NA by RS Aggarwal.
    • Online Resources: Use trusted online platforms offering mock tests, video lectures, and chapter-wise explanations, we at Cadets defence academy provides you free mock test question paper for your exam preparation.
    • Coaching Institutes: If you’re feeling overwhelmed by the syllabus of NDA exam, consider joining coaching institutes for additional guidance and structured learning (optional), we Cadets defence academy provides you best NDA coaching in Dehradun.


In this blog post, we’ve discussed that regular practice, time management skill, importance of understanding concepts and creating a study plan based on your strengths and weakness can help you to prepare for NDA mathematics exam. Remember, early preparation and consistency important to succeed.

If you need more help for your NDA exam preparation we Cadets defence academy provides you the best NDA coaching in Dehradun, with our guidance and support you can achieve your goals.

Contact Us

For any inquiries or assistance regarding NDA coaching in Dehradun, feel free to reach out to us. Here’s how you can get in touch:

Address:  Sahastradhara Rd, near kriti appartment, opp. shani dev mandir, B Block, Aman Vihar, Dehradun, Uttarakhand 248001
Visit us at our campus located in Dehradun.

Phone Numbers:
You can contact us directly via phone for immediate assistance. Our phone numbers are +91- 099970 34744and + 91-7599367318.

Email: cadetsdefenceacademy@gmail.com
Do you have a question or require additional details? Send us an email at cadetsdefenceacademy@gmail.com  Our team will get back to you promptly with the answers you need.

Website & Social Media Links:
Explore our website, www.cadetsdefenceacademy.com, for comprehensive details about our NDA coaching programs and facilities. Stay updated with the latest news and announcements by following us on social media. Find us on Facebook, Twitter, and Instagram

Feel free to reach out to us through any of the channels mentioned above. We’re here to assist you on your journey towards achieving your NDA coaching goals in Dehradun.

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