NDA Exam Syllabus 2026: Complete Mathematics and GAT Syllabus, Exam Pattern, Topics and Preparation Strategy
The NDA Exam Syllabus 2026 consists mainly of two written papers: Mathematics and General Ability Test (GAT). Mathematics carries 300 marks and covers topics such as Algebra, Matrices and Determinants, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, Vector Algebra, Statistics and Probability. The GAT carries 600 marks and includes English, Physics, Chemistry, General Science, History, Geography and Current Events. The written examination has a total of 900 marks, followed by the SSB process for candidates who qualify the written stage.
The NDA Exam Syllabus 2026 is one of the most important resources for candidates preparing for the National Defence Academy and Naval Academy Examination conducted by the Union Public Service Commission (UPSC). A clear understanding of the syllabus helps aspirants identify important subjects, divide their preparation time, select the right study material and practise questions according to the actual examination pattern.
The NDA written examination consists of two papers: Mathematics and the General Ability Test (GAT). According to the UPSC examination scheme, Mathematics carries 300 marks, while GAT carries 600 marks, making the written examination worth 900 marks in total. Each paper has a duration of 2 hours 30 minutes, and the papers consist of objective-type questions.
For students searching for NDA syllabus, NDA exam syllabus 2026, NDA Maths syllabus, NDA GAT syllabus, NDA syllabus PDF, NDA preparation strategy and NDA exam pattern, this guide explains the syllabus in a structured and easy-to-understand format.
NDA Syllabus 2026 – Quick Overview
| Particular | Details |
|---|---|
| Examination | National Defence Academy & Naval Academy Examination |
| Conducting Body | Union Public Service Commission |
| Written Papers | Mathematics and General Ability Test |
| Mathematics Marks | 300 |
| GAT Marks | 600 |
| Total Written Marks | 900 |
| Mathematics Duration | 2 hours 30 minutes |
| GAT Duration | 2 hours 30 minutes |
| Question Type | Objective Type |
| Mathematics Level | Approximately Class 11–12 level |
| GAT Components | English + General Knowledge |
| Selection Stages | Written Examination + SSB process + Medical requirements |
| Negative Marking | Applicable as prescribed by UPSC |
The UPSC's official NDA notification specifies the two-paper written structure and 900 total written marks. The Commission also publishes previous NDA Mathematics and GAT question papers through its official previous-question-paper section.
What Is the NDA Exam?
The National Defence Academy and Naval Academy Examination, commonly known as the NDA/NA examination, is conducted by UPSC for admission to the National Defence Academy and Naval Academy.
The examination is intended for eligible candidates seeking entry into specified defence training programmes. Because the examination combines academic testing with subsequent selection procedures, candidates should not limit preparation to one subject.
The written examination evaluates mathematical ability, English proficiency, scientific understanding, social studies, geography and awareness of current events.
The official UPSC website provides examination notifications, question papers and results. For example, UPSC's 2026 examination page lists the NDA/NA Examination I 2026 and its official examination documents, including the Mathematics and GAT question papers.
NDA Exam Syllabus 2026
The NDA syllabus can broadly be divided into two sections:
Paper I – Mathematics
Mathematics carries 300 marks.
Major areas include:
- Algebra
- Matrices and Determinants
- Trigonometry
- Analytical Geometry
- Differential Calculus
- Integral Calculus
- Vector Algebra
- Statistics
- Probability
Paper II – General Ability Test
GAT carries 600 marks.
It consists of:
- English
- Physics
- Chemistry
- General Science
- History
- Geography
- Current Events
The official UPSC syllabus also explains the subject areas and their broad coverage.
NDA Mathematics Syllabus 2026
Mathematics is an important component of the NDA written examination. Candidates should understand concepts rather than depend exclusively on memorisation.
The official syllabus includes several mathematical areas covering algebra, geometry, calculus, vectors, statistics and probability.
1. Algebra
The Algebra portion covers fundamental concepts that candidates should develop through regular problem-solving.
Important areas include:
- Sets
- Operations on sets
- Venn diagrams
- De Morgan's laws
- Cartesian products
- Relations
- Equivalence relations
- Real numbers
- Complex numbers
- Binary numbers
- Arithmetic progression
- Geometric progression
- Harmonic progression
- Quadratic equations
- Linear inequations
- Permutation and combination
- Binomial theorem
- Logarithms
Candidates should practise both direct and application-based questions.
How to Prepare Algebra
Begin with basic concepts and formulas. After understanding each chapter, solve progressively difficult questions.
Maintain a separate formula notebook containing:
- Important identities
- Algebraic formulas
- Progression formulas
- Permutation and combination formulas
- Binomial expansion rules
- Logarithm properties
Regular revision is particularly useful because many mathematical questions require quick recall.
2. Matrices and Determinants
Matrices and determinants form another important part of the Mathematics syllabus.
Topics include:
- Types of matrices
- Matrix operations
- Determinants
- Properties of determinants
- Adjoint of a matrix
- Inverse of a matrix
- Solution of simultaneous equations
- Cramer's rule
- Matrix method
Students should understand how different operations affect matrices rather than memorising procedures mechanically.
Preparation Tip
Practise questions involving:
- Matrix addition and multiplication
- Determinant calculation
- Inverse matrices
- Simultaneous equations
- Cramer's rule
Speed improves considerably after solving a large number of questions.
3. Trigonometry
Trigonometry is a major area of NDA Mathematics preparation.
Important topics include:
- Angles and their measurements
- Degrees and radians
- Trigonometric ratios
- Trigonometric identities
- Sum and difference formulae
- Multiple and sub-multiple angles
- Inverse trigonometric functions
- Heights and distances
- Properties of triangles
The official syllabus specifically includes these areas.
How to Prepare Trigonometry
Candidates should memorise basic trigonometric values and identities only after understanding their relationships.
Practise:
- Identity-based questions
- Equation-based problems
- Heights and distances
- Triangle applications
- Inverse trigonometric questions
A formula sheet can be especially useful for revision.
4. Analytical Geometry
Analytical Geometry covers coordinate-based mathematical concepts.
Important areas include:
- Cartesian coordinate system
- Distance formula
- Straight lines
- Angles between lines
- Distance of a point from a line
- Circle
- Parabola
- Ellipse
- Hyperbola
- Three-dimensional geometry
- Direction cosines
- Direction ratios
- Planes
- Spheres
Candidates should practise graphical understanding along with formulas.
Important Preparation Areas
Give additional practice to:
- Straight-line equations
- Circle equations
- Conic sections
- Coordinate geometry
- 3D distance
- Direction ratios
- Planes
5. Differential Calculus
Differential Calculus tests candidates' understanding of rates of change and related mathematical concepts.
Preparation should cover:
- Functions
- Limits
- Continuity
- Differentiation
- Derivatives
- Applications of derivatives
Candidates should understand the basic rules of differentiation and practise their application to different types of problems.
Preparation Approach
Study one concept at a time.
For example:
Function → Limit → Continuity → Differentiation → Application
This sequence creates a stronger conceptual foundation.
6. Integral Calculus
Integral Calculus is another important part of the Mathematics syllabus.
Candidates should prepare:
- Integration
- Standard integrals
- Integration methods
- Definite integrals
- Applications of integration
- Areas under curves
A common preparation mistake is studying integration without sufficiently understanding differentiation.
Since integration and differentiation are closely related, candidates should revise differentiation before beginning intensive integration practice.
7. Vector Algebra
Vector Algebra involves mathematical quantities having magnitude and direction.
Important areas include:
- Vectors
- Magnitude
- Direction
- Addition and subtraction
- Scalar multiplication
- Scalar product
- Vector product
- Applications of vectors
Candidates should practise both formula-based and application-oriented questions.
8. Statistics and Probability
The Statistics and Probability section requires conceptual clarity and numerical practice.
Important areas include:
- Collection of data
- Classification
- Frequency distributions
- Mean
- Median
- Mode
- Dispersion
- Standard deviation
- Probability
- Basic probability principles
Candidates should practise numerical problems regularly because calculation speed can influence performance.
NDA GAT Syllabus 2026
The General Ability Test is the larger component of the NDA written examination, carrying 600 marks. It broadly combines English with General Knowledge.
The GAT can therefore be divided into:
- English
- Physics
- Chemistry
- General Science
- History
- Geography
- Current Events
A candidate who performs consistently across these areas can build a balanced GAT preparation strategy.
NDA English Syllabus
The English component evaluates candidates' understanding of the English language and ability to use it correctly.
Preparation areas generally include:
- Grammar
- Vocabulary
- Sentence structure
- Comprehension
- Correct usage
- Synonyms
- Antonyms
- Sentence improvement
- Idioms and phrases
- Spotting errors
How to Prepare English for NDA
Read English for at least 30–45 minutes daily.
A useful routine is:
Reading → Vocabulary → Grammar → Questions → Revision
Maintain a vocabulary notebook and add unfamiliar words encountered during reading and mock-test practice.
Candidates should also practise comprehension passages under a time limit.
NDA Physics Syllabus
Physics forms an important part of the General Knowledge component.
Candidates should focus on fundamental concepts rather than highly advanced theoretical material.
Important areas include:
- Matter
- Measurement
- Motion
- Force
- Work
- Energy
- Power
- Gravitation
- Heat
- Temperature
- Sound
- Light
- Electricity
- Magnetism
- Simple machines
- Basic properties of matter
Physics Preparation Strategy
Start with basic school-level concepts.
For every chapter:
- Read the theory.
- Understand formulas.
- Solve basic questions.
- Attempt NDA-level MCQs.
- Revise mistakes.
Do not spend excessive time memorising formulas without understanding their applications.
NDA Chemistry Syllabus
Chemistry questions generally require familiarity with fundamental chemical concepts.
Preparation areas include:
- Physical properties of matter
- Atoms and molecules
- Elements and compounds
- Chemical reactions
- Acids
- Bases
- Salts
- Metals
- Non-metals
- Carbon compounds
- Everyday chemistry
- Basic environmental chemistry
Candidates should revise fundamental concepts from school-level Chemistry books and then practise objective questions.
NDA General Science Syllabus
General Science focuses on basic scientific knowledge and everyday applications.
Candidates should prepare areas such as:
- Human body
- Nutrition
- Diseases
- Plants
- Animals
- Environment
- Scientific discoveries
- Everyday science
- Basic biology
- Health and hygiene
The objective should be to understand fundamental science rather than memorise isolated facts.
NDA History Syllabus
History is another major GAT preparation area.
Candidates should revise:
- Ancient Indian history
- Medieval Indian history
- Modern Indian history
- Indian freedom movement
- Major historical events
- Important personalities
- Basic constitutional development
- Post-independence developments
Special attention should be given to the freedom movement and major events associated with India's modern history.
History Preparation Tip
Prepare history chronologically.
For example:
Early India → Medieval India → Colonial Period → Freedom Movement → Independence
Creating timelines makes revision easier.
NDA Geography Syllabus
Geography questions can cover physical, Indian and general geographical concepts.
Important areas include:
- Earth
- Latitude and longitude
- Climate
- Atmosphere
- Rivers
- Mountains
- Natural resources
- Agriculture
- Industries
- Indian geography
- World geography
- Population
- Transportation
- Environment
Candidates should use maps during preparation.
Map-based learning can help students remember:
- Rivers
- Mountain ranges
- States
- Important geographical regions
- Seas and oceans
- Neighbouring countries
NDA Current Affairs Syllabus
Current affairs can cover significant national and international developments.
Candidates should follow:
- National events
- International events
- Defence developments
- Sports
- Awards
- Important appointments
- Science and technology
- Space developments
- Government schemes
- Major summits
- Important reports
- Economic developments
Because current affairs change continuously, students should use recent and reliable sources instead of depending entirely on old static notes.
NDA Exam Pattern 2026
The NDA written examination contains two papers.
| Paper | Subject | Marks | Duration |
|---|---|---|---|
| Paper I | Mathematics | 300 | 2.5 hours |
| Paper II | General Ability Test | 600 | 2.5 hours |
| Total | Mathematics + GAT | 900 | 5 hours |
The official UPSC scheme confirms this 300 + 600 structure and states that the papers consist of objective-type questions.
The Mathematics paper and Part B of the GAT are set bilingually in Hindi and English according to the official examination scheme.
Candidates should also note that UPSC does not permit calculators for these objective papers under the stated examination instructions.
NDA Mathematics Preparation Strategy
A successful NDA Mathematics strategy should combine concepts, formulas and speed.
Step 1: Complete the Syllabus
Do not start randomly.
Prepare a chapter checklist and mark each chapter as:
- Not Started
- In Progress
- Completed
- Revised
- Test Completed
Step 2: Build Fundamentals
Use school-level textbooks to strengthen concepts.
Step 3: Solve Topic-Wise Questions
After finishing each chapter, solve MCQs.
Step 4: Practise Previous Papers
Previous papers help candidates understand question style and difficulty.
UPSC officially maintains a previous-question-paper section that includes NDA Mathematics and GAT papers.
Step 5: Take Timed Tests
Speed is essential in an objective examination.
NDA GAT Preparation Strategy
GAT preparation should not be treated as one single subject.
Divide it into sections.
English
Study grammar and vocabulary daily.
Physics
Focus on concepts and formulas.
Chemistry
Revise basic concepts and reactions.
General Science
Use concise notes and practise MCQs.
History
Prepare timelines.
Geography
Use maps and diagrams.
Current Affairs
Revise recent important developments regularly.
How to Make an NDA Study Plan
A practical study schedule can divide preparation into four stages.
Phase 1 – Foundation
Complete fundamental concepts.
Phase 2 – Syllabus Coverage
Finish all major chapters.
Phase 3 – Practice
Solve topic-wise and previous-year questions.
Phase 4 – Revision and Mock Tests
Revise formulas and facts while taking timed mock tests.
A sample daily schedule could include:
| Activity | Suggested Time |
|---|---|
| Mathematics | 2 hours |
| English | 45 minutes |
| Science | 1 hour |
| History/Geography | 1 hour |
| Current Affairs | 30 minutes |
| MCQ Practice | 1 hour |
| Revision | 30 minutes |
Students can adjust these timings according to their school, college and preparation level.
NDA Previous Year Question Papers
Previous-year papers are among the most useful resources for understanding an examination.
They help candidates identify:
- Repeated concepts
- Question patterns
- Difficulty level
- Time-management requirements
- Weak areas
- Frequently tested topics
UPSC's official question-paper archive includes NDA Mathematics and General Ability Test papers for recent examinations.
Candidates should preferably solve the papers under examination-like conditions rather than simply reading the answers.
How to Use NDA Mock Tests
Mock tests should be used as diagnostic tools.
After every test, divide mistakes into four categories:
Concept Mistake
You did not understand the topic.
Calculation Mistake
The concept was known but the calculation was incorrect.
Question Selection Mistake
You spent too much time on a difficult question.
Knowledge Gap
You did not know the relevant fact.
This classification helps candidates improve systematically.
Common Mistakes in NDA Preparation
1. Studying Without the Syllabus
Students sometimes collect many books without knowing what the examination actually tests.
Always begin with the official syllabus.
2. Ignoring Mathematics
Because GAT carries more marks, some candidates neglect Mathematics. This can create an avoidable weakness.
3. Studying Only Current Affairs
Current affairs are important, but GAT also contains substantial static subject areas.
4. Not Solving Previous Papers
Reading theory alone does not develop examination speed.
5. Avoiding Revision
Without revision, information is easily forgotten.
6. Taking Too Many Untimed Tests
Timed practice is essential.
7. Ignoring Mistakes
A mock test is useful only when mistakes are analysed.
NDA Revision Strategy
Revision should be continuous rather than postponed until the final days.
Use a three-level revision system.
First Revision
Revise immediately after completing a chapter.
Second Revision
Revise after completing several related chapters.
Final Revision
Use short notes, formulas and mistake logs.
For Mathematics, focus on:
- Formulas
- Identities
- Common question types
- Mistake notebook
For GAT, focus on:
- Important facts
- Science concepts
- Historical timelines
- Geography facts
- Vocabulary
- Current affairs notes
NDA Syllabus and School Preparation
Students preparing for NDA while studying in school should integrate both rather than treating them as completely separate programmes.
Many NDA concepts overlap with school-level Mathematics, Science, English and Social Science.
A good strategy is:
School Concept → NDA Concept → MCQ Practice → Revision
This can reduce duplicate study.
Students should also avoid compromising their regular academic responsibilities while preparing for competitive examinations.
NDA Syllabus: Mathematics vs GAT
The two papers require different preparation styles.
| Mathematics | GAT |
|---|---|
| Concept-heavy | Broad subject coverage |
| Requires calculations | Requires knowledge + comprehension |
| Formula practice | Fact and concept revision |
| Regular problem solving | Reading + MCQ practice |
| Speed matters | Accuracy and breadth matter |
Candidates should therefore avoid using the same study technique for both papers.
How CampusWale Can Help NDA Aspirants
Students often need more than a syllabus.
They also search for:
- NDA exam dates
- NDA eligibility
- NDA application information
- NDA admit card
- NDA result
- NDA answer key
- NDA previous papers
- NDA preparation tips
- Defence career information
- College and course information
CampusWale can be used as an educational information resource for students looking for structured exam and admission-related guidance.
When preparing for NDA, candidates should always compare educational information with the latest official UPSC notification and examination documents.
NDA Exam Preparation: Final Checklist
Before the examination, candidates should make sure they have:
- Completed the Mathematics syllabus
- Completed the GAT syllabus
- Revised formulas
- Revised important facts
- Practised previous papers
- Taken full-length mock tests
- Analysed mistakes
- Improved time management
- Revised current affairs
- Prepared examination documents according to UPSC instructions
NDA Exam Syllabus 2026
What is the NDA exam syllabus?
The NDA exam syllabus consists of two written papers: Mathematics and General Ability Test. Mathematics carries 300 marks and includes Algebra, Matrices and Determinants, Trigonometry, Analytical Geometry, Differential and Integral Calculus, Vector Algebra, Statistics and Probability. The General Ability Test carries 600 marks and covers English, Physics, Chemistry, General Science, History, Geography and Current Events. The written examination is worth 900 marks in total. Candidates who qualify the written stage proceed through the subsequent SSB selection process as prescribed by UPSC. CampusWale provides additional educational and exam-related information for NDA aspirants.
FAQs on NDA Exam Syllabus
1. What is the NDA exam syllabus?
The NDA exam syllabus consists of Mathematics and General Ability Test. Mathematics covers areas such as Algebra, Trigonometry, Geometry, Calculus, Vector Algebra, Statistics and Probability. GAT includes English, Physics, Chemistry, General Science, History, Geography and Current Events.
2. How many marks are there in the NDA written examination?
The NDA written examination carries a total of 900 marks. Mathematics carries 300 marks, while the General Ability Test carries 600 marks according to the UPSC examination scheme.
3. What subjects are included in NDA GAT?
NDA GAT includes English and General Knowledge-related subjects. The syllabus covers Physics, Chemistry, General Science, History, Geography and Current Events along with English.
4. Is Mathematics compulsory in the NDA exam?
Yes. Mathematics is one of the two written papers of the NDA examination and carries 300 marks.
5. What are the major topics in NDA Mathematics?
Major Mathematics areas include Algebra, Matrices and Determinants, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, Vector Algebra, Statistics and Probability.
6. What is the duration of the NDA Mathematics paper?
The Mathematics paper is conducted for 2 hours and 30 minutes according to the official examination scheme.
7. What is the duration of the NDA GAT paper?
The GAT paper has a duration of 2 hours and 30 minutes under the official NDA examination scheme.
8. Does NDA have objective-type questions?
Yes. The UPSC scheme specifies that the written examination papers consist of objective-type questions.
9. Can candidates use a calculator in the NDA examination?
No. The official examination instructions state that candidates are not permitted to use calculators or mathematical/logarithmic tables for the objective papers.
10. Where can I find NDA previous-year question papers?
Candidates can find NDA Mathematics and GAT previous-year question papers through the official UPSC previous-question-paper section. UPSC's archive currently lists NDA papers from recent examinations.
Conclusion: NDA Exam Syllabus 2026
The NDA Exam Syllabus 2026 provides a clear roadmap for candidates preparing for the UPSC National Defence Academy and Naval Academy Examination. The written stage consists of Mathematics and General Ability Test, with 300 marks allotted to Mathematics and 600 marks to GAT.
Candidates should approach the syllabus systematically rather than attempting to study every available resource. Start with the official syllabus, strengthen fundamentals, practise topic-wise questions, solve previous-year papers and regularly take mock tests.
Mathematics requires consistent problem-solving practice, while GAT demands broad preparation across English, Science, History, Geography and Current Affairs. A balanced timetable can therefore be more useful than spending the majority of preparation time on only one subject.
The UPSC website should remain the primary source for official notifications, examination documents and question papers. The Commission's 2026 pages provide official examination information and its question-paper archive provides NDA Mathematics and GAT papers for practice.
For students who want additional educational guidance, exam updates and admission-related information, CampusWale can serve as a useful supplementary education resource. Before applying or appearing for the examination, always verify the latest details from UPSC.
If you are planning your defence career and exploring education and admission opportunities, keep following CampusWale for structured exam guides, admission updates, preparation resources and student-focused educational information.