UPSC NDA 2 Exam 2025 Mathematics Important Topics

The UPSC NDA 2 Exam 2025 Mathematics covers key topics like Quadratic Equations, Logarithms from Algebra, and Trigonometric Ratios & Identities from Trigonometry. As the exam approaches, focusing on the NDA 2 exam 2025 Mathematics topics will help you prepare strategically for success.

Table of Contents

UPSC NDA 2 Exam 2025 Mathematics Important Topics

With the UPSC NDA 2 exam being around the corner, being well-versed with the important topics is extremely important. Throughout this article, we will be discussing all the details you need to know about the UPSC NDA 2 Exam 2025 Mathematics Important Topics . Some of the important topics for UPSC NDA 2 Mathematics section are Quadratic Equations, Logarithms, Binomial Theorem, Permutations & Combinations from Algebra, Trigonometric Ratios & Identities, Applications, etc from Trigonometry, 3D Geometry, Sphere & Plane Equations, etc from Analytical Geometry. Know that these topics have been deemed important, keeping in mind their weightage as well as the frequency of questions from these topics in the exam.
If you are appearing for this year's UPSC NDA 2 exam, then we advise you to go through this entire article to get a detailed understanding of the important topics for the Mathematics exam. The UPSC NDA 2 exam is scheduled to be conducted on September 13, 2025, with the Mathematics paper being held from 2 pm to 4.30 pm. Go through this article to know more about the UPSC NDA 2 exam 2025 Mathematics important topics.

UPSC NDA 2 Exam 2025 Mathematics Important Topics

In the table below, we will discuss in detail the important NDA 2 exam 2025 Mathematics topics:

Name of the chapter	Important topics
Algebra	Sets, Venn Diagrams, De Morgan Laws Quadratic Equations, Logarithms, Binomial Theorem Arithmetic & Geometric Progressions Permutations & Combinations
Matrices & Determinants	Types of Matrices, Matrix Operations Determinants, Adjoint & Inverse Matrices Cramer’s Rule & Matrix Method for Solving Equations
Vector Algebra	Vectors in 2D/3D, Magnitude & Direction Dot & Cross Products Applications (Work, Force, Geometry)
Trigonometry	Trigonometric Ratios & Identities Inverse Trigonometry Applications (Height & Distance)
Calculus	Limits, Continuity of Functions Derivatives (Rules, Applications in Maxima/ Minima) Increasing/Decreasing Functions
Statistics & Probability	Mean, Median, Mode, Standard Deviation Probability Basics, Bayes’ Theorem Binomial Distribution
Integral Calculus & Differential Equations	Integration Methods (Substitution, Parts) Definite Integrals & Area Calculation First-Order Differential Equations
Analytical Geometry	Lines, Circles, Conic Sections (Parabola, Ellipse, Hyperbola) 3D Geometry (Distance, Direction Cosines) Sphere & Plane Equations

UPSC NDA 2 Exam 2025 Mathematics paper covers a wide range of topics, each with a significant weightage and frequency in the past exams. With the UPSC NDA 2 exam getting close, you must have a solid understanding of the key topics, such as Quadratic Equations, Logarithms, Binomial Theorem, Permutations & Combinations from Algebra, Trigonometric Ratios & Identities, Applications, etc, from Trigonometry, 3D Geometry, etc., etc. By focusing on the important topics, you can methodologically prepare for the exam. You can also get a good hold of these topics by practising the previous year's question papers and sample papers, which will hone your problem-solving skills and efficiency. A focused, well-planned approach will play a huge role in achieving a strong performance in the Mathematics section of the UPSC NDA 2 exam.