Important Chapters for NDA Exam Mathematics: A Comprehensive Guide

The National Defence Academy (NDA) exam covers a broad range of mathematical concepts across various chapters. To excel in the mathematics section, focus on mastering the following key areas. This guide will help you build a solid foundation in NDA exam mathematics.

Algebra

Algebra is a fundamental area in the NDA exam. Key chapters to focus on include:

Sets Relations and Functions: Understand the basics of sets, relations, and functions, including their properties and operations. Complex Numbers: Learn about complex numbers, their arithmetic operations, and their representation on the complex plane. Quadratic Equations: Solve quadratic equations and understand their applications. Sequences and Series: Study arithmetic and geometric progressions, including their formulas, properties, and applications. Binomial Theorem: Familiarize yourself with the binomial expansion and its applications in solving problems.

Trigonometry

Trigonometry is another crucial topic in the NDA exam. Key areas to focus on include:

Trigonometric Ratios and Identities: Master the basic trigonometric ratios, identities, and their applications. Heights and Distances: Solve problems related to heights and distances using trigonometric principles. Inverse Trigonometric Functions: Understand the inverse trigonometric functions and their properties, along with their applications.

Geometry

Geometry is an essential part of the NDA exam. Focus on the following areas:

Lines and Angles: Study the properties of lines and angles, including parallel and perpendicular lines. Triangles and Their Properties: Understand congruence, similarity, and the various types of triangles. Circles and Related Properties: Learn about the properties of circles, including chords, tangents, and secants. Coordinate Geometry: Familiarize yourself with the distance formula, section formula, and area of a triangle.

Mensuration

Mensuration is a practical application of geometry, and the following topics are important:

Area and Volume of 2D and 3D Shapes: Learn to calculate the area and volume of shapes such as cubes, cuboids, cylinders, cones, and spheres.

Statistics and Probability

Statistics and Probability are also significant areas for the NDA exam:

Mean, Median, and Mode: Understand the measures of central tendency. Probability Basics: Study basic principles of probability and their applications.

Calculus

Calculus is a high-level area, but its basic concepts are important for the NDA exam:

Basic Concepts of Differentiation and Integration: Get familiar with the fundamentals of differentiation and integration, including their applications in problem-solving.

Matrices and Determinants

Matrices and determinants are also essential for the NDA exam:

Types of Matrices and Operations: Understand different types of matrices and their operations, including determinants and their properties.

Linear Equations

Solving linear equations is a common task in the NDA exam:

Solving Linear Equations in Two Variables: Master the methods to solve linear equations in two variables.

Number System

The number system is another important chapter:

Rational and Irrational Numbers: Learn about the differences and properties of rational and irrational numbers. HCF and LCM: Understand the concepts of Highest Common Factor and Least Common Multiple, along with their applications.

Miscellaneous Topics

Additionally, focus on the following miscellaneous topics:

Time and Work, Pipes and Cisterns: Solve problems related to work, time, and pipes and cisterns. Speed, Time, and Distance: Understand the concepts of speed, time, and distance and their applications. Simple and Compound Interest: Learn about the principles of simple and compound interest and how to solve related problems.

Focusing on these chapters will help you build a solid foundation for the mathematics portion of the NDA exam. Regular practice and mock tests are essential to enhance your problem-solving skills and comfort with time-bound solving. Utilize resources like the Embibe app and Embibe YouTube channel, which offer expert guidance, practice questions, and mock tests specifically tailored for NDA mathematics.