NDA Maths Notes with Formulas Free PDF Download

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In the National Defence Academy and Naval Academy examination, out of 270 questions, 120 are for Maths in MCQ format. For each incorrect answer, ⅓ marks will be deducted because of negative marking. Therefore, you must have strong memory power and recall capabilities, which can be enhanced using the NDA notes for Maths.

Our experienced teachers have prepared the NDA Maths notes, which you can download for free using the links available above on this page. For your convenience, we are sharing detailed notes along with some tips & tricks in this article.

NDA Maths Exam Pattern & Marking Scheme 2025

Since the NDA exam is considered one of the most challenging entrance tests, it is important to be thorough with its exam pattern and marking scheme for the current year. The table below contains the exam pattern 2025, along with a marking scheme for Mathematics. We also recommend going through the official document to avoid any confusion.

NDA Notes for Maths

**NDA Maths Exam Pattern & Marking**
Particular	Details
Number of Questions	120
Maximum Marks	300
Marks for Each Correct Answer	2.5 mark
Marks for Each Incorrect Answer	-0.83 mark
NDA Maths Exam Duration	2.5 Hours
Mode of Exam	Offline
NDA Maths Question Paper Prepared by	UPSC

Key Features of NDA Maths Notes PDF

This section covers the key features of the NDA Maths notes PDF download, which is available at SelfStudys.

The NDA Maths preparation notes PDF is designed in a topic-wise layout to help you easily access all the information in one place.
Our Maths notes for NDA exam are simple, clear, and detailed so that you can comprehend the material and revise it quickly.
The NDA notes for Maths are available in PDF format, helping you study anytime and anywhere without having access to the internet. All you need to do is use the download links to save the file on your device.
The NDA Maths notes include topic briefs, examples, and key points for each topic so that you can pay extra attention to them, which is crucial for the examination.

Topic Wise NDA Maths Notes PDF Download

The math section of the exam generally consists of 10+2 standard topics, but before doing any guesswork, it’s important to go through the NDA Syllabus. Meanwhile, check out these topic-wise NDA Maths notes PDF download, so that you can begin your revision and practice sessions.

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

Most Important NDA Maths Topics (Key Formulas & Shortcuts)

Find a total of 8 chapters or core topics from which the Maths questions most likely will be asked in the NDA examination.

Chapters	Important Topics	Key Formulas
Algebra	Quadratic Equations, Permutations & Combinations, Logarithms, Binomial Theorem	Quadratic Equation: Sum and Product of Roots: Permutation: Combination:
Shortcut: If the sum and product of roots are given, use x2 −(sum of roots)x + (product of roots) = 0
Matrices & Determinants	Matrix Operations, Determinants, Inverse of a Matrix	Determinant of a 2×2 matrix: Inverse of a 2×2 matrix:
Shortcut: if det(A) = 0, it’s a singular matrix.
Trigonometry	Trigonometric Ratios & Identities, Heights & Distances, Inverse Trigonometric Functions	Basic Identities: sin2 A + cos2 A = 1 1+ tan2 A = sec2 A 1 + cot2 A = csc2 A Heights & Distances:
Coordinate Geometry	Straight Lines, Circles, Parabola, Ellipse, Hyperbola	Distance Formula: Midpoint Formula: Equation of a Line (Slope-Intercept Form): y=mx+c
Shortcut: If a line passes through (x₁, y₁) and has slope m, its equation is y−y1=m(x−x1)
Differential Calculus	Limits, Differentiation, Maxima & Minima	Derivative of Basic Functions: Maxima & Minima: f′ (x) = 0 (Critical point) f′′ (x) > 0 (Local Minima) f′′ (x) < 0 (Local Maxima)
Shortcut: If given 𝑦 = 𝑎 𝑥 2 + 𝑏𝑥 + 𝑐, the vertex is at
Integral Calculus	Indefinite & Definite Integrals, Application of Integrals	Basic Integration Rules: Definite Integral Property:
Shortcut: Area under curve between two points a and b:
Probability & Statistics	Mean, Median, Mode, and Probability Theorems	Mean (Average): Probability Formula: Bayes’ Theorem:
Shortcut: If P(A) + P(B) = 1, then A and B are complementary events.
Vector Algebra	Vector Addition, Scalar & Vector Products	Magnitude of a Vector: Dot Product: A⋅B=∣A∣∣B∣cosθ Cross Product:
Shortcut: If dot product = 0, vectors are perpendicular.

*Shortcuts mentioned in the table are just tips; they are supposed to inform you of the basic concepts of the topics.

How to Download the NDA Notes for Maths From SelfStudys?

The steps that will provide you access to the NDA Maths notes PDF download are mentioned here in detail.

Our website will be displayed on your screen when you type www.selfstudys.com on a web browser.

NDA Maths notes PDF download

You can first check out our homepage and then click on the ‘Navigation’ bar.

Under this, the main menu will be displayed, from where you have to select the ‘NDA’ section.

NDA Maths Notes

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NDA Maths Notes PDF download

Now, you can go through the subjects for which we prepare these notes and select the ‘NDA Maths notes’.

NDA Maths preparation notes PDF

Then, the list of chapters for the NDA Maths preparation notes PDF will be available on your screen.

You can choose any chapter related to the Maths notes for NDA exam and start studying it.

You may utilize the NDA notes for Maths online on our platform in HD quality or download its PDF.

Note: A Google Log In or Sign Up is required on SelfStudys for the downloading of NDA Maths notes.

Smart Revision Strategy for NDA Maths to Score High

After getting the NDA Maths notes PDF download, you need to revise them diligently and consistently. Here are some revision plans for you.

NDA Maths Preperation Strategy

Prioritise 3-Step Revision Method

This revision approach helps you master the subject and score higher marks.

Step 1: Refer to the NDA Maths preparation notes PDF and do the concept review. In this process, you will revise all the formulas, theorems & key concepts.
Step 2: Solve some sample Maths questions and important questions from NDA Previous year question papers.
Step 3: Attempt mock tests to use the concepts and formulas you have reviewed from the Maths notes for NDA exam.

Keep NDA Notes for Maths with You, Always

Having access to the notes can help you easily access the formulas, concepts, and important points; therefore, refer to the NDA notes for Maths link and save them on your device so you can use them without the internet. Refer to them daily to revise and create flashcards so that you can have quick and strong recall sessions.

NDA Maths Exam Strategy: Here’s How to Score Well

The nature of the National Defence Academy exam is highly competitive and challenging, but you can pass the NDA exam with the right mindset and strategy.

The target score for NDA Maths should be 300 out of 300, but here are two categories you should definitely aim for: (1) Safe Score: 130-150+ out of 300, (2) Excellent Score: 180-200+ out of 300. To help you achieve this target score, here are some exam strategies:

Understand the exam pattern and marking scheme for NDA Maths. We have mentioned this above; however, here is the breakdown of important topics and weightage.

Topic	Approx. No. of Questions
Algebra	25-30
Trigonometry	20-25
Calculus	15-20
Coordinate Geometry	15-20
Probability & Statistics	10-15
Matrices & Determinants	10-15
Vector Algebra	8-12
Mensuration	5-10

You are required to build a strong foundation in Maths topics. Firstly, focus on Class 11 & 12. You can refer to the NCERT textbooks and Mathematics for NDA and NA: National Defence Academy and Naval Academy by R S Aggarwal and Study Package Mathematics NDA & NA by Arihant, which are some of the recommended books. In addition to this, ensure you are using the NDA Maths notes to memorise important formulas and tricks for faster calculations. Among all of these, the practice sessions are crucial for developing a strong foundation, so solve at least 50-70 questions every day.

Developing effective time management while improving your speed and accuracy is unavoidable. To do this, solve 10 years of question papers, take full-length mock tests, analyse the mistakes, and improve on them. In this exam, you get only 75 seconds/question, so first, attempt easy questions, solve tough questions later, and don't spend more than two minutes on any question.

Conclusion

Regardless of how challenging the NDA exam is, an aspirant with a strong revision of math concepts can solve 99% of questions with ease. However, it's important to have well-structured NDA notes for Maths, which will support strong memory and recall skills. An ideal or well-structured notes resource contains these — key formulas, topic-wise explanations, and shortcuts for quick revision. By using our PDF, you can definitely score higher. If you combine these topic-wise notes with regular mock tests and practice the questions asked in past papers regularly, you can aim to score 180-200+ easily.

FAQs

Need answers? Find them here...

With the NDA Maths notes, you are offered concise explanations of key concepts, formulas, as well as problem-solving techniques. All these things prove that the notes play a very important role in your preparation process. By using them, you can focus your study efforts on the relevant areas and enhance your conceptual understanding for the exam.

In the NDA Maths preparation notes PDF, the topics that are mainly covered are algebra, calculus, trigonometry, geometry, probability, statistics, etc. Our experts present every topic with theory, formulae, as well as solved examples. With this, you can make sure to cover all the topics thoroughly in a clear and organized manner

The NDA notes for Maths are an essential resource but relying only on them will not provide you with the best results. In order to excel in the exam, you must combine them with the practice of the previous year's questions, mock tests, reference books, etc. This combination will help you to develop the problem-solving speed and accuracy that is required to perform well in the exam.

Practice with the NDA Maths notes PDF download is considered to be quite important because, with it, you can reinforce theoretical concepts and make sure to understand their practical application. In these notes, we include a variety of solved problems and exercises as well to prepare you effectively for any type of questions in the exam.

Yes, students of any level can use the Maths notes for NDA exam and enhance their skills. Our experts start these notes with fundamental concepts so that you can build a strong foundation if you are a beginner. Further, the notes have more advanced concepts to make sure that other students can benefit as well.