Mathematics is a critical component of the NDA II 2026 Written Exam, carrying 300 marks out of the total 900 marks. A strong command over mathematical concepts is essential not only to clear the cut-off but also to secure a top rank. The exam, conducted by the Union Public Service Commission, tests Class 11 and 12 level concepts with an emphasis on speed, accuracy, and problem-solving ability.

This guide provides subject-wise preparation tips, strategy, and resources to help aspirants excel in NDA Mathematics.

NDA II 2026 Mathematics Exam Overview

• Negative marking: −0.83 per wrong answer

• Maximum marks: 300

• All questions are multiple choice

Subject-Wise Preparation Tips

1️⃣ Algebra

Topics:

• Sets, Relations, and Functions

• Complex Numbers & Quadratic Equations

• Sequences and Series (AP, GP, HP)

• Permutations and Combinations

• Binomial Theorem & Logarithms

Preparation Tips:

• Focus on formulae and practice derivations

• Solve previous year NDA algebra questions

• Create a formula notebook for quick revision

• Practice 10–15 problems daily to build speed

2️⃣ Matrices and Determinants

Topics:

• Types of Matrices (Square, Diagonal, Identity)

• Matrix Operations

• Determinants and their Properties

• Inverse of a Matrix

• Solving Linear Equations using Cramer’s Rule

Preparation Tips:

• Memorize properties of determinants

• Solve multiple problems on matrix multiplication and inversion

• Attempt previous years’ NDA questions on matrices and determinants

• Use shortcuts for determinant evaluation to save time

3️⃣ Trigonometry

Topics:

• Trigonometric Ratios & Identities

• Heights and Distances

• Solutions of Triangles

• Inverse Trigonometric Functions

Preparation Tips:

• Revise all fundamental trigonometric identities regularly

• Practice application-based problems for heights and distances

• Solve at least 5–10 daily problems to improve accuracy

• Focus on understanding, not rote memorization

4️⃣ Analytical Geometry

2D Geometry Topics:

• Straight Lines, Pair of Lines

• Circle, Parabola, Ellipse, Hyperbola

• Coordinate Geometry fundamentals

3D Geometry Topics:

• Coordinates in Space

• Direction Cosines and Ratios

• Equation of Line and Plane

• Angle between lines and planes

Preparation Tips:

• Memorize standard equations of curves and lines

• Solve diagram-based problems for better visualization

• Use graphing to understand concepts wherever possible

5️⃣ Differential Calculus

Topics:

• Limits & Continuity

• Differentiation (Standard Rules)

• Derivatives of Composite & Implicit Functions

• Applications: Increasing/Decreasing Functions, Maxima & Minima

Preparation Tips:

• Learn derivation rules and standard formulae thoroughly

• Solve optimization problems regularly

• Practice previous NDA calculus questions to improve speed

6️⃣ Integral Calculus & Differential Equations

Topics:

• Integration as Inverse of Differentiation

• Methods of Integration

• Definite Integrals & Area under Curves

• First-Order Differential Equations

Preparation Tips:

• Revise integration formulae daily

• Solve a variety of definite integral problems

• Practice differential equations with examples from previous NDA papers

7️⃣ Vector Algebra

Topics:

• Vector Addition & Subtraction

• Scalar (Dot) and Vector (Cross) Products

• Applications in Geometry

Preparation Tips:

• Focus on dot & cross product formulas

• Visualize vectors in 2D & 3D space for better understanding

• Practice application-based vector problems

8️⃣ Statistics & Probability

Statistics Topics:

• Mean, Median, Mode

• Variance & Standard Deviation

Probability Topics:

• Random Experiments & Sample Space

• Events and Probability Laws

• Conditional Probability & Bayes’ Theorem

Preparation Tips:

• Understand concepts before formulas

• Practice solving problems with shortcuts

• Solve previous years’ NDA probability & statistics questions

General Preparation Strategy for NDA Mathematics

1. Start with NCERT Basics – Class 11 & 12 NCERT books for all topics

2. Daily Practice – Allocate at least 2 hours daily to Mathematics

3. Formula Revision – Maintain a formula notebook for quick revisions

4. Solve Previous Year Papers – Analyze trends and frequently asked questions

5. Mock Tests – Take weekly full-length mock tests to improve speed and accuracy

6. Focus on Weak Areas – Identify weak topics and revise them consistently

Recommended Resources

• NCERT Mathematics Books (Class 11 & 12)

• NDA Previous Year Question Papers

• Arihant NDA/NA Exam Prep Books

• Online mock tests & test series

❓ FAQs – NDA II 2026 Mathematics

1. What is the weightage of Mathematics in NDA II 2026?

Mathematics carries 300 marks out of 900, roughly 33% of the total written exam.

2. Is NCERT enough for NDA Mathematics preparation?

Yes, for basics, but practice with previous year papers and mock tests is essential.

3. Are there negative marks in NDA Mathematics?

Yes, 0.83 marks are deducted for every wrong answer.

4. How much time should I devote daily to NDA Maths?

Ideally, 2–3 hours daily with regular revision and problem-solving.

5. Which topics are most important for NDA Mathematics?

Algebra, Trigonometry, Calculus, and Coordinate Geometry carry high weightage.

6. How can first-time aspirants improve speed in Mathematics?

Daily practice, mock tests, and formula memorization are key.

7. Are there shortcuts for NDA Maths problems?

Yes, especially in determinants, algebra, and trigonometry, but accuracy must not be compromised.