πŸŽ“ Welcome to Manas Studies – India’s Trusted Education Partner

πŸŽ“ Welcome to Manas Studies – India’s Trusted Education Partner
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β˜…
πŸŽ–οΈ NDA Mathematics πŸ“‹ UPSC Exam

Crack NDA Maths.
Serve the Nation.

Ranked among the best NDA coaching in Dehradun, Manas Studies offers expert online preparation for the UPSC National Defence Academy Mathematics paper. Structured curriculum, live doubt sessions, 10 years of PYQs β€” and a proven track record of students joining the Indian Army, Navy & Air Force.

500+
NDA Selections
since 2010
92%
Students clear
Maths cutoff
27+
Years of
Excellence
300
Marks in
Maths Paper
πŸ†
NDA-I 2025
14 Selections
NDA Paper II β€” Mathematics
Total Marks
300
Questions
120 MCQs
Duration
2Β½ Hours
Negative Mark
βˆ’ 0.83
Avg. score before joining 142 / 300
Avg. score after course 251 / 300
✦ Live Online Classes ✦ Conducted Twice/Year ✦ All-India Rank Mocks
⭐
Student Rating
4.9 / 5.0
πŸ“…
Twice / Year
NDA Frequency
πŸ›οΈ
UPSC
Conducted By
πŸ“
300 Marks
Maths Paper
🎯
16Β½ – 19Β½ Yrs
Age Eligibility
πŸŽ–οΈ
Army Β· Navy Β· AF
Three Services

What is the NDA Exam?

The National Defence Academy (NDA) examination is conducted by the Union Public Service Commission (UPSC) twice a year β€” typically in April and September. It is the premier gateway for young Indians to join the Indian Army, Navy, and Air Force as commissioned officers. Manas Studies, known as the best NDA coaching in Dehradun, has guided hundreds of aspirants through this journey since 1997.

Mathematics is Paper II of the NDA written exam, carrying 300 marks across 120 MCQs. A strong Maths score is decisive β€” it separates the candidates who clear the written stage from those who don't.

  • βœ“
    Age: 16Β½ to 19Β½ years (unmarried males & females)
  • βœ“
    Education: Class 12 pass or appearing (Science required for Navy/Air Force)
  • βœ“
    Pattern: Written Exam β†’ SSB Interview β†’ Medical
  • βœ“
    Maths Paper: 120 MCQs Γ— 2.5 marks = 300 marks total
  • βœ“
    Negative Marking: 0.83 marks deducted per wrong answer
  • βœ“
    Typical Maths Cutoff: ~180–220+ out of 300
πŸͺ–

Indian Army

Join the Army wing at NDA Khadakwasla. Lead soldiers in one of the world's largest and most respected armies.

✈️

Indian Air Force

Pursue the flying or ground duty branch. Maths & technical aptitude are critical for IAF selection.

βš“

Indian Navy

Serve at sea as a naval officer. Maths and Physics scores carry heavy weight in Navy selections.

πŸ“Š

Maths Weightage

Maths contributes 300 of 900 written marks β€” exactly one-third. You simply cannot ignore it.

Full NDA Maths Syllabus β€” Covered

Every topic from the official UPSC NDA Paper II syllabus, taught from scratch with exam-focused shortcuts and NDA-specific strategies. Our syllabus is why students call us the best NDA coaching in Dehradun.

01

Algebra

  • Complex Numbers & Quadratic Equations
  • Permutations & Combinations
  • Binomial Theorem
  • Sets, Relations & Functions
  • Logarithms & Indices
βš– High Weightage
02

Matrices & Determinants

  • Types of Matrices & Operations
  • Determinants & Properties
  • Inverse of a Matrix
  • Cramer's Rule
  • Applications to Linear Equations
βš– Medium Weightage
03

Trigonometry

  • Angles, Measures & Identities
  • Inverse Trigonometric Functions
  • Height & Distance Applications
  • Properties of Triangles
  • Sun & elevation problems
βš– Very High Weightage
04

Analytical Geometry

  • Lines, Circles, Parabola, Ellipse
  • 3D Geometry β€” Lines & Planes
  • Distance & Section Formula
  • Direction Cosines & Ratios
  • Sphere & Cone equations
βš– High Weightage
05

Differential Calculus

  • Limits, Continuity & Differentiability
  • Derivatives & Chain Rule
  • Maxima & Minima
  • Rolle's & Lagrange's MVT
  • Tangents & Normals
βš– High Weightage
06

Integral Calculus & DEs

  • Integration as inverse of differentiation
  • Definite Integrals & Area under curves
  • Ordinary Differential Equations
  • Formation & Solution of DEs
  • Growth, Decay & Cooling Problems
βš– Medium Weightage
07

Vector Algebra

  • Vectors in 2D & 3D
  • Addition, Scalar & Vector Products
  • Dot & Cross Products
  • Scalar Triple Product
  • Geometric Applications
βš– Medium Weightage
08

Statistics & Probability

  • Mean, Median, Mode & Dispersion
  • Variance & Standard Deviation
  • Basic & Conditional Probability
  • Bayes' Theorem
  • Binomial Distribution
βš– Medium Weightage
09

PYQs & Mock Tests

  • 10 Years NDA PYQs β€” Topic-wise
  • 15 Full-length Mock Tests (300 marks)
  • Sectional tests per chapter
  • Speed & Accuracy Drills
  • All-India Rank Simulator
⚑ Exam Strategy

The Manas Advantage for NDA Maths

What makes us the best NDA coaching in Dehradun β€” 27+ years of expertise, distilled into a system that has sent hundreds of students to serve in uniform.

🎯

NDA-Focused Curriculum

Not generic Maths β€” every topic taught with NDA exam patterns, MCQ strategies and negative-marking awareness.

πŸ‘¨β€πŸ«

Expert Faculty

IIT & Delhi University alumni with 10–20 years of NDA coaching experience, including a retired Army officer.

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Data-Driven Prep

Chapter-by-chapter analytics, mock test reports, and personalised feedback after every test.

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Twice-a-Year Batches

Aligned to both NDA-I & NDA-II cycles so you never miss a window. Fresh batches every 6 months.

500+
Total NDA selections β€” Army, Navy & Air Force
92%
Students clear Maths cutoff
251
Average Maths score after course
27+
Years coaching since 1997
4.9β˜…
Average student rating

6-Month Roadmap to NDA Selection

A battle-tested path from fundamentals to full exam readiness β€” designed around the NDA exam cycle.

1
Phase 1

Foundation Building

Start from Class 10 & 11 fundamentals. Build strong conceptual clarity in Algebra, Trigonometry and Coordinate Geometry before moving to advanced topics.

⏱ Weeks 1 – 6
2
Phase 2

Full Syllabus Coverage

Systematic coverage of all NDA Maths units β€” Calculus, Matrices, Vectors, Statistics & Probability β€” with regular chapter tests and doubt sessions.

⏱ Weeks 7 – 16
3
Phase 3

PYQ Mastery & Shortcuts

Topic-wise analysis of 10 years of NDA papers. Identify question patterns, master time-saving tricks and learn which topics to prioritise under exam conditions.

⏱ Weeks 17 – 20
4
Phase 4

Full Mocks & Final Revision

Weekly 300-mark mock tests under real exam conditions. Individual performance analytics, targeted revision, and a final 48-hour rapid revision before exam day.

⏱ Weeks 21 – 24

What Every Class Includes

  • πŸ“±
    Live Online Classes

    5 days/week, 1.5–2 hours per session on Zoom. Recordings available within 24 hours for replay any time.

  • πŸ“š
    Structured Study Material

    Chapter-wise theory booklets, formula sheets and NDA-specific solved examples β€” curated by faculty over 27+ years.

  • πŸ§ͺ
    Chapter Tests + Full Mocks

    Online chapter test after every unit. Monthly full-length 300-mark mock with All-India Rank report.

  • πŸ’¬
    Personal Mentor on WhatsApp

    Direct access to your assigned mentor for doubts, motivation, and exam planning β€” every day of the course.

  • πŸ“Š
    Performance Analytics

    Track accuracy, speed, and strong/weak areas through your personal student dashboard updated after each test.

Our NDA Results Speak for Themselves

Numbers from students who trained with the best NDA coaching in Dehradun, cracked the Maths paper, and are now proudly serving India in uniform.

500+
Total NDA Selections since 2010
92%
Students clear Maths cutoff after course
251
Average Maths score (out of 300)
14
Selections in NDA-I 2025 alone

Recent Toppers from Manas Studies

AK

Arjun Kumar

272 / 300
NDA-I 2025 Β· Indian Army
πŸ† AIR 23
PS

Priya Singh

261 / 300
NDA-II 2024 Β· Indian Air Force
πŸ† AIR 41
RV

Rahul Verma

255 / 300
NDA-I 2024 Β· Indian Navy
πŸ† AIR 67
MT

Meera Tiwari

248 / 300
NDA-II 2023 Β· Indian Army
πŸ† AIR 89

Voices from Our NDA Warriors

Real words from students who trusted Manas Studies and made it to serve the nation.

β˜…β˜…β˜…β˜…β˜…

"I was weak in Calculus and Matrices. After joining Manas Studies' NDA Pro batch, I scored 272 out of 300. The live doubt sessions were a complete game-changer."

AK
Arjun Kumar
Selected β€” Indian Army Β· NDA-I 2025
πŸŽ–οΈ NDA Selection
β˜…β˜…β˜…β˜…β˜…

"The faculty explains each concept from scratch. As a girl aiming for the IAF, I felt completely supported here. Scored 261 in Maths and made it to Air Force. Dreams do come true!"

PS
Priya Singh
Selected β€” Indian Air Force Β· NDA-II 2024
πŸŽ–οΈ NDA Selection
β˜…β˜…β˜…β˜…β˜…

"The mock tests at Manas are tougher than the actual NDA paper. On exam day, I felt completely at ease. Capt. Vikram Sir's strategy sessions were genuinely priceless."

RV
Rahul Verma
Selected β€” Indian Navy Β· NDA-I 2024
πŸŽ–οΈ NDA Selection

Frequently Asked Questions

Unmarried male and female candidates who have passed or are appearing in Class 12 can apply for NDA. Age must be between 16Β½ and 19Β½ years on the first of the month the course commences. Physics and Mathematics in Class 12 is compulsory for the Navy and Air Force wings.
NDA Maths is largely Class 11 & 12 level, but the MCQ format, time pressure, negative marking and specific exam style require dedicated preparation beyond school. Our course bridges this gap β€” every topic is taught with an NDA exam focus, not a school-board focus.
UPSC conducts NDA twice a year β€” NDA (I) typically in April and NDA (II) in September. Notifications are released approximately 4–5 months before each exam. This gives you two opportunities every year, and we run fresh batches aligned to each cycle.
Our NDA Pro and Crash Course packages feature live interactive classes where you ask doubts in real time. All live classes are also recorded and available for replay within 24 hours. The Starter package is recorded-only for self-paced learners. Every package includes at least Telegram-based doubt support.
UPSC does not officially publish subject-wise cutoffs. However, based on historical data and expert analysis, scoring above 180–220 in Maths (out of 300) significantly improves your chances. Our students average 251/300 after completing the course β€” well above the typical cutoff range.
Yes! Following the Supreme Court's 2021 landmark order, NDA is now open to female candidates across all three wings β€” Army, Navy and Air Force. Our coaching is fully designed for both male and female aspirants, and we already have several proud female NDA selections including IAF officers.

Your Nation Awaits.
Your Rank Starts Here.

Join hundreds of NDA aspirants who trained with Manas Studies β€” the best NDA coaching in Dehradun β€” and are now proudly serving India in uniform. The next batch is filling fast.

No payment needed for demo class EMI options available 500+ NDA selections Refund policy available

Apply Now β€” NDA Maths Batch

Take the first step with the best NDA coaching in Dehradun. Fill in your details below and our counselling team will reach out within 24 hours with batch schedule, fee structure, and a free demo class link.

πŸŽ–οΈ
500+ NDA Selections
Since 2010 Β· Army Β· Navy Β· IAF
  • βœ“ No payment needed for demo class
  • βœ“ Live & recorded classes included
  • βœ“ Personal mentor assigned on Day 1
  • βœ“ 10 years of PYQ practice sets
  • βœ“ EMI options available
  • βœ“ Refund policy available
πŸŽ‰

Application Received!

Thank you! Our team will contact you within 24 hours with your free demo class link and batch details.

Check your inbox β€” a confirmation has been sent to your email.

By submitting, you agree to be contacted by Manas Studies via call/WhatsApp/email regarding the NDA coaching programme.

⏳

Wait β€” Don't Leave Yet!

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What’s inside:

Physics Formula Sheet Β· Chemistry Reaction Chart Β· Maths Quick Reference Β· Biology Diagram Handbook β€” all free, sent to WhatsApp.