Author name: Cadets Academy

How to prepare for NDA Mathematics exam ? Table of Contents BEST NDA COACHING IN DEHRADUN Introduction In our previous blog we discuss strategies and tips to prepare for NDA GAT exam and here we will discuss best practices to succeed in NDA Mathematics exam. Understanding NDA Mathematics Exam Pattern & Syllabus Before preparing for NDA Mathematics Exam, it’s important to understand exam pattern and syllabus. Quick Overview of NDA Mathematics exam Total Questions 120 Total Marks 300 Exam Mode        Offline Topics covered Algebra, Matrices, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, Vector Algebra, and Statistics and Probability.  Exam duration 2 ½ hour Exam format MCQs Correct Answer 2.5 mark Negative Mark   -(0.83) mark   The NDA Mathematics exam, tests your fundamental mathematical concepts covered in 10th, 11th, and 12th NCERT. Topics covered are, Algebra, Matrices, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, Vector Algebra, and Statistics and Probability.  Fee Structure NDA Mathematics Syllabus Topic Sub Topic   Algebra 1.Sets (Concepts & Operations) 2.Venn diagram 3.De Morgan’s Law 4.Cartesian Product 5.Relation 6.Equivalence Relation 7.Real Numbers 8.Complex Numbers 9.Modulus 10.Cube Root 11.Conversion of a number (Binary to Decimal & Decimal to Binary) 12.Arithmetic 13.Geometric and Harmonic Progressions 14.Quadratic Equations 15.Linear Inequations 16.Permutation and Combination 17.Binomial Theorem 18.Logarithms Calculus 1.Concept of a real valued function 2.Domain 3.Range and Graph of a function 4.Composite functions 5.One to One 6.Onto and Inverse Functions 7.Notion of limit 8.Standard limits 9.Continuity of functions 10.Algebric Operations on Continuous functions 11.Derivative of function at a point 12.Geometrical and Physical Interpretation of a derivative application 13.Derivatives of sum 14.Product and Quotient of functions 15.Derivative of a function with respect to another function 16.Derivative of a Composite Function 17.Second Order Derivatives 18.Increasing and Decreasing Function 19.Application of Derivatives in problems of Maxima and Minima Matrices and Determinants 1.Types of matrices 2.Operations on matrices 3.Determinant of a matrix 4.Basic Properties of Determinants 5.Adjoint and Inverse of a Square Matrix 6.Applications-Solution of a system of Linear Equations in two or three unknown by – •        Cramer’s Rule •        Matrix Method Integral Calculus and Differential Equations 1.Integration as inverse of differentiation 2.Integration by substitution and by parts 3.Standard Integrals involving algebraic Expressions 4.Trigonometric 5.Exponential and Hyperbolic Functions 6.Evaluation of definite Integrals – Determination of areas of plane regions bounded by curves-applications 7.Definition of order and degree of a differential equation by examples. 8.General and particular solution of differential equations 9.Solution of first order and first-degree differential equations of various types by examples 10.Application in problems of growth and decay Trigonometry 1.Angles and their measures in degrees and in radius 2.Trigonometric Ratio 3.Trigonometric Identities 4.Sum and Difference Formulae 5.Multiple and Sub-Multiple Angles 6.Inverse Trigonometric Functions 7.Applications – Height and Distance 8.Properties of Triangles Vector Algebra   1.Vectors in two and three dimensions 2.Magnitude and Direction of a vector 3.Unit and Null Vectors 4.The Addition of Vectors 5.Scalar Multiplication of a Vector 6.Scalar Product 7.Dot Product of two vectors 8.Vector product or Cross product of two vectors 9.Applications- Work done by Force and Moment of Force in Geometrical Problems. Analytical Geometry of Two or Three Dimension   1.Rectangular Cartesian Coordinate System 2.Distance Formula 3.Equation of a line in various forms 4.The angle between two lines 5.Distance of a point from a line 6.Equation of a circle in standard and in a general form 7.Standard forms of Parabola, Ellipse and Hyperbola 8.Eccentricity and Axis of a conic 9.Point in a three-dimensional space 10.The distance between two points 11.Direction, Cosines and Direction Ratio 12. Equation two points 13.Direction Cosines and direction ratios 14. Equation of a plane and a line in various forms 15.Angle between two lines and angle between two planes 16.Equation of a sphere Statistics and Probability   1.Probability: Random experiment, outcomes, and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events 2.Union and Intersection of events. Complementary, elementary, and composite events 3.Definition of probability—classical and statistical—examples 4.Elementary theorems on probability-simple problems 5. Conditional probability, Bayes’ theorem— simple problems 6. Random variable as function on a sample space 7.Binomial Distribution 8. Examples of random experiments giving rise to Binomial distribution Age Calculator Effective Study Strategies Practice: More you practice, better you become. Previous Years’ Papers:Solving previous year NDA exam papers will help you to understand the exam pattern, question format, difficulty level, and recurring themes, this will also help you to understand your weak areas. Mock Tests:Mock tests are also great way to familiarize yourself with the exam pattern and it also helps you to check your progress, identify your weak topics, and how much time you’re taking in each question. Topic-wise Practice: Topic-wise practice allows you to identify areas where you need improvement. You can then focus on those specific topics. Revision: Revision helps you understand areas where you need more attention, Regular revision allows you to make sure that you’re prepared and confident for the real exam. Time Management: Solving 120 questions in 2.5 hours can be tough, to tackle this situation try to solve mock test papers and in a time limit of 2.5 hours. This will help you to understand your pace and develop effective time management skills to avoid any last-minute rush. Understanding Over Memorization: While formulas are important, but simply memorizing them is not enough. Focus on understanding concepts and how formulas are derived. By focusing on understanding concepts, you develop strong logical and reasoning skills. Understanding Mathematical principles helps you to choose the most suitable method to solve a problem, saving your valuable time during the exam. When you truly understand a concept, you retain it for longer and can apply it to various situations, but simply memorizing a topic you might not be able to recall it when it needed, leaving you vulnerable if you encounter the concept in a slightly different form. Creating a Study Plan Creating a study plan based on your strengths and weaknesses helps you creates a clear roadmap for your NDA exam preparation. Effective Time Management:NDA exam covers a vast syllabus. A study plan helps you to allocate time effectively for