Mathematics plays a deciding role in clearing the NDA written examination conducted by UPSC for admission into the National Defence Academy. While General Ability Test helps in increasing the overall marks, Mathematics decides whether a candidate will qualify or not, because many aspirants fail to cross the cut-off in Maths. Therefore, a smart approach focusing on the Important Maths Chapter for NDA 2026 becomes essential for every serious aspirant.
The NDA Mathematics paper consists of 120 questions for 300 marks. Every correct answer gives 2.5 marks while every wrong answer cuts 0.83 marks. So, it becomes necessary to concentrate on the chapters that provide maximum scoring advantage with minimum difficulty. After analyzing previous 15 years’ papers, experts have found that five chapters contribute almost 65–70 percent of the questions. These are:
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Set, Relation and Function
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Matrix and Determinants
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Statistics
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Probability
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Trigonometry, 3D Geometry and Vector Algebra
These are the most important maths chapter for NDA 2026 because they repeatedly appear every year with very high marks. Let us discuss them one-by-one in detail with proper NDA-oriented strategy.
Why These 5 Chapters Are the Most Important Maths Chapter for NDA 2026?
| Chapter Name | Expected Questions | Marks Range | Importance Level |
|---|---|---|---|
| Set, Relation and Function | 3–4 | 8–12 marks | High |
| Matrix and Determinants | 6–7 | 15–20 marks | Very High |
| Statistics | 3–5 | 10–15 marks | High |
| Probability | 6–8 | 20–25 marks | Very High |
| Trigonometry, 3D & Vectors | 10–12 | 30–35 marks | Maximum |
Combined Weightage: Almost 80–100 marks out of 300
This means understanding just these Important Maths Chapter for NDA 2026 can nearly secure the qualifying requirement.
1. Set, Relation and Function
This chapter is foundational yet extremely scoring. Questions are conceptual and do not require heavy calculations.
Important Topics:
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Representation and types of sets
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Subsets, universal set and empty set
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Union, intersection and complement
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Venn diagrams
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Relations: Type of relations
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Functions, domain, co-domain and range
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One-one, onto and bijective functions
NDA Specific Strategy:
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Learn symbols and operations clearly
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Practice questions based on domain and range
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Use Venn diagrams for relation-based questions
This chapter alone helps score 10 to 12 marks easily.
2. Matrix and Determinants
Matrix and Determinants is a major portion of the Important Maths Chapter for NDA 2026. Most questions here are numerical and require basic algebraic knowledge.
Important Topics:
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Types of matrices: Square, diagonal, identity etc.
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Matrix operations: Addition, multiplication
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Row and column transformations
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Transpose and inverse of a matrix
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Determinant expansion properties
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Solving linear equations using matrices
NDA Strategy:
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Memorize determinant short-cut rules (Sarrus rule etc.)
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Focus on solving quickly without mistakes
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Practice PYQs for accuracy
Marks from this topic can directly boost the score by 15–20 marks.
3. Statistics
Among all important maths chapter for NDA 2026, Statistics is the easiest and most scoring. Here only formula application is required.
Important Topics
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Mean: Direct method, step deviation method
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Median and Mode of grouped data
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Variance and Standard Deviation
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Cumulative frequency table
How to Score Full Marks:
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Focus on calculator-style speed manually
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Practice 50 data-based questions every week
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Learn repetitive formula based shortcuts
10–15 marks can be secured by covering this chapter properly.
4. Probability
Probability carries the highest logical difficulty but also the highest marks. Almost 20–25 marks are expected every year.
Important Topics:
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Classical definition and sample space
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Events: Independent and mutually exclusive
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Bayes theorem
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Conditional probability
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Permutation and Combination in probability problems
NDA Strategy for Probability:
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Learn to convert real-life statements into probability format correctly
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Focus on case-based classification problems
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Practice questions from previous year UPSC papers
Even an average student can improve significantly with consistent practice.
5. Trigonometry, 3D Geometry and Vector Algebra
This section is the backbone of NDA mathematics. The maximum number of questions appear from this part every year.
Trigonometry Subtopics:
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Trigonometric ratios and identities
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Height and Distance
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Trigonometric equations
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Inverse trigonometry
3D Geometry Subtopics:
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Coordinates in space
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Distance between skew lines
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Direction cosines, direction ratios
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Angle between two lines
Vector Algebra Subtopics:
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Dot product and cross product
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Scalar triple product
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Vector projection and geometry interpretation
Scoring Plan:
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Memorize every identity permanently
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Practice 3D vector conceptual reasoning daily
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Solve minimum 200 trigonometric questions before exam
Marks: 30–35 marks in almost every NDA paper.
Best Study Plan Based on Important Maths Chapter for NDA 2026
| Day Routine | Duration | Benefit |
|---|---|---|
| Concept learning from notes | 2 hours | Strong foundation |
| Practice of mixed problems | 1.5 hours | Speed and application |
| Previous year NDA questions | 1 hour | Pattern recognition |
| Formula revision session | 30 minutes | Retention and recall |
Weekly Target:
• Solve at least 300 Maths questions
• Complete revision of at least 2 important chapters
Most Recommended Books for NDA Maths (Updated for 2026)
| Book Title | Why Recommended |
|---|---|
| NDA Pathfinder | Complete syllabus + solved papers |
| RD Sharma Objective | Concept strengthening |
| Arihant NDA Previous Year Papers | Real UPSC pattern exposure |
| NCERT Class 11 & 12 Maths | Base building and clarity |
Aspirants should first build basic concepts from NCERT and then sharpen skills through Pathfinder and PYQs.
How to Attempt NDA Maths Exam with Maximum Accuracy
To score well from Important Maths Chapter for NDA 2026, use this professional approach:
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Attempt easy questions first (Set, Statistics)
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Move to Matrix and Determinants questions
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Attempt known Trigonometry questions
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Carefully solve Probability only after securing enough marks
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Avoid guesswork – negative marking can destroy high scores
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Manage time: 120 questions in 150 minutes means 1.2 minutes per question
A score of 120–150 marks is considered very strong and safe.
Common Mistakes Students Should Avoid
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Ignoring theory and relying only on tricks
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Starting with toughest topics first
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Skipping revision of formulas
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Not solving NDA previous year papers
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Over-attempting and losing marks in negative marking
Candidates must focus on accuracy rather than attempt count.
Why Doon Defence Dreamers Is the Best Choice for Mastering Mathematics for NDA 2026?
When it comes to NDA preparation in Dehradun, Doon Defence Dreamers has built a solid reputation as the best NDA coaching in Dehradun, especially for Mathematics. The Maths faculty at Doon Defence Dreamers is highly experienced and deeply familiar with UPSC exam trends, ensuring students understand every concept from the basic to advanced level.
The coaching follows a chapter-wise, exam-focused approach covering all the important Maths chapter for NDA 2026 like Trigonometry, Matrix & Determinants, Probability, Statistics, and more — exactly as asked in the NDA exam.
With regular doubt-clearing sessions, practice assignments, and speed-enhancing techniques, students learn how to solve lengthy questions quickly and accurately during the exam. The disciplined classroom environment, personalized mentoring, and result-driven teaching methodology make Doon Defence Dreamers (Dreamers Edu hub) the top choice for students determined to excel in NDA Maths and clear the written exam in their very first attempt.
Achievements of Doon Defence Dreamers in Mathematics
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Consistent track record of helping students score 120+ marks in NDA Mathematics
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Chapter-wise coaching aligned with the latest NDA exam pattern
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High success rate of students qualifying NDA written exam every year
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Expert Maths faculty with years of defence exam experience
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Comprehensive notes covering all Important Maths Chapter for NDA 2026
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Weekly Maths mock tests with (performance analytics & personalized feedback)
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Special focus on speed, accuracy, and conceptual clarity
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Individual guidance for weak areas like Trigonometry and Vector Algebra
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Motivational support to build confidence and develop problem-solving ability
Final Conclusion
After complete analysis and experience of past trends, these five are the Important Maths Chapter for NDA 2026:
• Set Relation Function
• Matrix & Determinants
• Statistics
• Probability
• Trigonometry, 3D & Vector
These chapters alone can guarantee more than 60 to 70 percent score in NDA Mathematics. Any student who masters these topics with proper revision and practice can easily cross the cut-off and move closer to joining the Indian Armed Forces.
Strong fundamentals, disciplined practice and correct selection of chapters are the main elements of success in NDA Maths. If a candidate studies these important chapters thoroughly, NDA Maths will no longer be an obstacle.
Want PDFs for Each Chapter?
| Chapters | Pdfs |
| Calculus | Download |
| 3D Geometry & Vector | Download |
| Probability /Statistics | Download |
| Trigonometry | Download |
| Algebra | Download |

























