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The National Defence Academy entrance test consists of Class 11 and 12 Maths topics. Their main focus is on algebra, trigonometry, calculus, matrices, determinants, and probability to assess a candidate’s mathematical understanding. A total of 120 questions are asked for 300 marks and there is a negative marking of -0.83. Therefore, a strong command of its topics, concepts and frequently asked questions is important. Go through the NDA important Maths questions PDF to find detailed information so that you can score 200+ in NDA Maths.

Our subject experts have analysed past year's question papers, exam patterns, and syllabi to develop a separate file for NDA Maths important questions. Referring to them will help you with focused preparation and strategic study for Maths. Moreover, we’re sharing here some essential information you shouldn’t miss and preparation strategy to score above 200 marks.

Topic-Wise NDA Maths Important Questions

The NDA Maths paper has a moderate to challenging difficulty level. However, a strategic approach in solving and practising the topic-wise math important questions can elevate your performance in the actual exam. Even if you’re a Non-Maths student, you can still crack the exam with a focused approach.

For ease, our team has distributed all those important Maths questions on a topic or chapter basis. Download important questions PDF for NDA Maths using the links we have provided here.

Serial No. NDA Important Maths Questions PDF
1. Sets, Relations and Functions
2. Equations, In-equations and Expressions
3. Complex Numbers
4. Progressions AP, GP and HP
5. Mathematical Induction and Binomial Theorem
6. Exponential and Logarithm Series
7. Permutation and Combination
8. Boolean Algebra
9. Matrices and Determinants
10. Trigonometric Ratios and Identities
11 Inverse Trigonometric Functions Height and Distance
12 Coordinates and Straight line
13 Circle
14 Conic Section
15 3-Dimensional Geometry
16 Limits, Continuity and Differentiability
17 Differentiation
18 Application of Derivatives
19 Indefinite Integration
20 Definite Integral and Area
21 Differential Equation
22 Vector Algebra
23 Statistics
24 Probability

NDA Maths Important Questions and Answers PDF

Our experts have solved one of the biggest challenges faced by NDA aspirants who rely on self-study. We provide solutions to important Maths questions, carefully reviewed multiple times to ensure accuracy. These solutions are available in two formats: (1) answer keys and (2) stepwise explanations. The NDA Maths important questions and answers PDF gives you instant feedback to help you improve your responses.

During practice sessions, whenever you feel stuck, refer to the solutions to maintain consistency in your preparation.

How to Get the NDA Maths Important Questions PDF Download from SelfStudys?

You should go through the steps that are mentioned below to complete the process of downloading the PDF for NDA important Maths questions from our website.

  • The first step you need to take is to reach the main page of our website by typing www.selfstudys.com on your preferred browser. 

NDA important Maths questions​

  • After this, you should place your cursor on the ‘Navigation’ tab and click on it. 
  • This click will let you access our main menu, and from here, you need to select the ‘NDA’ section. 

NDA Maths important question​s 

  • There will be several study resources provided under the section, and you have to click on the ‘NDA important questions’ icon. 

NDA Maths important questions and answers PDF 

  • Now, you can check out the subject-wise options and select the NDA Maths important questions. 

NDA Maths Important Questions 

  • Then, the list of all chapters related to NDA Maths important questions and answers PDF will open up.
  • You can solve the important Maths question for NDA on any chapter by simply clicking on its name.
  • Lastly, you can also save the chapters’ NDA Maths important questions PDF download on your device for free.

Note: Complete a Google Log In or Sign Up step beforehand on SelfStudys to download important questions PDF for NDA Maths.

Lets Understand the NDA Maths Syllabus

As mentioned earlier, the NDA Maths syllabus covers class 11 and 12 Maths topics. Here are the detailed topics and subtopics you are required to cover as per the syllabus. NDA Maths important questions PDF download contains problems only with these topics.

Topics Subtopics
Algebra
  • Concept of sets, types of sets, Venn diagrams
  • Operations on sets, De Morgan’s laws
  • Cartesian product, relation, equivalence relation
  • Complex numbers, basic properties, modulus, and argument
  • Cube roots of unity
  • Linear equations, quadratic equations, and their roots
  • Binomial theorem, its applications
  • Permutations and combinations
Matrices and Determinants
  • Types of matrices, operations on matrices
  • Determinant of a matrix, properties of determinants
  • Cramer’s rule and inverse of a matrix
  • Solutions of simultaneous linear equations
Trigonometry
  • Trigonometric ratios and identities
  • Multiple and sub-multiple angles
  • Heights and distances
  • Inverse trigonometric functions
  • Applications of trigonometry
Analytical Geometry (2D & 3D)
  • Rectangular Cartesian coordinate system
  • Distance formula, section formula, and area of a triangle
  • Equation of a line in various forms
  • Angle between two lines
  • Equation of a circle, parabola, ellipse, and hyperbola
  • Equations of a plane and a straight line in 3D
  • Distance between two points in space
Differential Calculus
  • Concept of limits, continuity, and differentiability
  • Differentiation of functions, chain rule
  • Derivatives of trigonometric, logarithmic, and exponential functions
  • Second-order derivatives
  • Maxima and minima
Integral Calculus and Differential Equations
  • Integration as inverse of differentiation
  • Standard integrals involving algebraic, trigonometric, exponential, and logarithmic functions
  • Definite integrals and their properties
  • Application of integrals (area under curves)
  • Differential equations: Formation, order, degree, and solution of first-order differential equations
Vector Algebra
  • Scalars and vectors
  • Addition and subtraction of vectors
  • Scalar and vector products of two vectors
  • Applications to geometry and physics
Statistics and Probability
  • Mean, median, and mode
  • Variance and standard deviation
  • Probability concepts, conditional probability
  • Bayes’ theorem
  • Binomial and Poisson distributions
Note: Visit the exam conducting body’s official website: https://upsc.gov.in/ and find the latest NDA Maths syllabus.

Topic-Wise Distribution of Questions in NDA Maths Paper

We’ve analysed the past year's question papers of NDA for Mathematics, based on which we have prepared a table containing topics and a number of their questions. Refer to the table below to learn about them; you can also use this information to make certain changes in your current preparation for NDA Mathematics.

Topic Number of Question
Algebra 30
Trigonometry 20
Determinants and matrices 10
Analytical Geometry 20
Vector Algebra 10
Statistics and Probability 10
Differential calculus and Integral calculus 20
Total 120

Why NDA Maths Important Questions and Answers PDF Are Crucial?

The National Defence Academy exam is conducted by UPSC twice a year, and to be honest, they won’t ask you direct formula-based questions, rarely one or two. Therefore, practising the concept-based questions that have already been asked in past years is important.

We collected all those questions and prepared a PDF file that we call the important Maths question for NDA. Not only this, but our experts solve each of those questions in detail to help you better comprehend and practice them. Below are 3 key reasons why you need this important study tool:

1. Saves Time

The NDA Maths important questions in PDF help you save time as well as offer you plenty of real questions to solve. During the exam preparation, you have several areas to focus on, which requires lots of time. However, with the help of expert-curated NDA Maths important questions PDF download links, you get access to complete chapter-wise questions. This way, you save lots of time from wasting and finding the topic-specific questions to solve.

2. Helps You Self-Evaluate

Self-evaluation is crucial, and it can be done using several study resources such as NDA mock tests, sample papers, and PYQs. However, when it comes to chapter-specific questions, this resource excels. The chapter-wise NDA important Maths questions enable you to examine yourself based on each concept you have covered according to the syllabus.

3. Assists You With Focused Learning

Having a categorised set of important questions helps you with focused learning. It enables you to avoid distractions and pay attention to one chapter or topic at once. For example, when you download important questions PDF for NDA Maths using our links, you find questions on 24 Maths topics. Each PDF comprises a certain topic and its questions you shouldn't miss practising.

How to Prepare for NDA Mathematics?

Achieving a score of 200+ in NDA Mathematics is a commendable goal, and it can be achieved with the right study tools and preparation process.

NDA Maths Important Question PDF Download 

1. Thoroughly Understand the NDA Maths Syllabus

A proper NDA Maths exam preparation starts with having a thorough understanding of the syllabus. It’s important to acquire a deeper understanding of the topics and their subtopics so as not to miss any.

2. Choose High-Quality Study Resources

Refer to the quality resources so that you can have conceptual clarity. You can use the best books for NDA  NCERT Class 11 Maths and 12, as well as Mathematics for NDA & NA by R.S. Aggarwal. Additionally, you can use the expert-curated notes, chapter-wise MCQs and more. Don’t forget to refer to the question papers from past years.

3. Master Important Formulas

You can’t go wrong with mastering the Maths formulas. Therefore, use the NDA important Maths questions PDF to be aware of the crucial topics to focus on. It will also help you understand what formulas you should master. For your ease, we have shared some must-know formulas here:

Maths Important Formulas
Sum and product of roots of a quadratic equation Sum and Products of Roots of a Quadratic Equations
Distance formula in coordinate geometry Distance formula in coordinate geometry
Trigonometry sin2θ + cos2θ = 1
Differentiation of common functions Differentiation of common functions

4. Follow a Study Plan

A study plan gives you a structured method to be disciplined towards your exam preparation goal. For NDA Maths, your study plan should look like this:

  • Month 1:- Cover all the basic concepts of Algebra, Trigonometry, and Calculus.
  • Month 2: Dedicate your 2nd month to solving past years’ question papers and NDA mock tests.
  • Month 3: In the 3rd month of preparation, your focus should be on improving your weak areas. To do this, use the best  NDA mock tests such as Maths revision notes, mock tests, NDA Maths important questions, and sample papers.

5. Focus on Time Management

In the NDA Maths exam, you have 2.5 hours for 120 questions; it means you can't afford more than 2 minutes per question. Therefore, focus on time management skills. Learn how to solve questions faster using different Mathematics tricks while maintaining accuracy.

Among so many methods, one popular idea suggests skipping difficult questions in the beginning and returning later if time allows. Since NDA Maths has negative markings, you can't even play the guessing game here. Otherwise, your overall marks may have a negative impact.

6. Review Mistakes & Improve

A U.S. author and marketing expert, Roy H. Williams (1958-), once said, “A smart man makes a mistake, learns from it, and never makes that mistake again.” Unfortunately, we’re human and prone to make mistakes; after all, this is how we learn. Hence, you also need to identify and analyse your mistakes in solving NDA Maths important questions PDF download to learn and improve.

7. Stay Consistent with Preparation

When you are consistent with your preparation, nothing can stop you from scoring 200+ in the NDA Maths, but many fail to maintain consistency. However, make sure that every time you lack consistency, you return with higher motivation and energy. Keep in mind that nothing and no one can stop you from acing the NDA exam but you.

Conclusion

The more specific you become with your preparation, the better your chances are to excel in the NDA exam. Keeping this in mind, we have provided the NDA important Maths questions​ in PDF. It helps you access topic-wise questions and master formulas and problem-solving techniques within a time constraint. Additionally, it boosts your confidence, saves time, helps with self-testing, and improves on your mistakes.

FAQs
Need answers? Find them here...

The PDF for the NDA Maths important questions includes a collection of all the questions that might appear in the upcoming exam. By using it, you can get familiar with the type and difficulty level of the questions, which will ultimately improve your problem-solving skills.

At the educational website of SelfStudys, the NDA Maths important questions PDF download covers all the crucial topics. You will find problems related to algebra, geometry, trigonometry, arithmetic, calculus, statistics, and probability in the PDF.

The download important questions PDF for NDA Maths vary in difficulty levels. Our experts include some questions of beginner level so that you grasp the basic concepts and a few challenging level ones. With this variety, you will be able to boost your confidence and score well on the exam.

You should first review every topic of the subject thoroughly to solve the NDA important Maths questions. You also need to read the theory behind each concept and then attempt the questions. Make sure that you don’t rush through the problems and take your time to understand the steps to solve them accurately.

Absolutely! On our platform, you will get the NDA Maths important questions and answers PDF. We further include detailed explanations for each solution. With this feature, you can understand the step-by-step process involved in solving every problem and correct your mistakes.

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