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UPSC conducts the National Defence Academy (NDA) Examination twice a year named NDA1 and NDA 2. This year NDA 1 was conducted on 21st April 2019, while NDA II is scheduled for 17th November 2019. NDA written exam consists of two papers namely Maths and General Ability Test (GAT). In order to crack NDA exam, one needs to have a good command over NDA Maths. In NDA questions are generally asked from the level of 11th and 12th standard.

To prepare for NDA maths, first of all, you need to know the complete syllabus of Maths for NDA exam. So let’s see what all topics are to be covered for NDA Maths Exam.

Also, read NDA 100 - Online Course For NDA Written Examination

To prepare for this section, the first and foremost requirement is to have clarity in concepts. The questions will test your basic understanding of the concepts. Go back to the basics if concepts are not clear and try to solve as many sums as possible. Do try to solve mock questions too to a great extent.

For this paper, you will also have to learn effective time management, wherein you solve all the questions within the stipulated time. Ideally, there would be 120 questions to be solved within 150 minutes, so you will have to practice to come up with the answers in less than a minute. Here, emphasizing on mental mathematics may be a good idea where you learn to solve the questions mentally most of the time.

Future Cadets is one such online learning platform which helps students to prepare for a variety of Indian defence entrance examinations. It is a one-stop destination for online NDA course which covers all topics diligently via video lectures, practice tests, mock papers, and discussion forums. Opting for this will ensure that your grip on Mathematics is rock solid, which is a prominent feature in both NDA exams and boards. One such course which Future Cadets offers is Basic Maths for beginners who just started their preparation.

Leave topics like Proofs in Mathematics, Mathematical Modelling, Linear Programming, Mathematical reasoning and other which you think are not objective oriented (MCQ types). Another thing, Try to have an MCQ way of finding the solution approach to save time. Do smart work rather than hard work. Making use of options where possible and using the reverse process to get the answer.

Questions come from your textbook and the format of questions is also taken from NCERT. The language of questions and difficulty level may change but the concept remains the same. Try to solve more and more questions so that at the end of class 12th your speed of answering the question increase. Most important thing is to focus on quality, not quantity.

A candidate should solve online mock test papers as much as possible to monitor the time he is taking to solve each type of question. Also, solve previous year papers to observe which type of questions are generally asked in the NDA written exam.

Practice those topics more in which you feel you are not good enough. More time should be devoted to such topics. This will help you score more in the exam and get a good All India Rank (AIR). Try to attempt more questions covering these topics and also work on your speed to solve these questions.

For such competitive exams, a candidate should know time-saving tricks and shortcuts to solve questions quickly. As beating the time is a big factor for such exams.

When time management is the key, then you should save your time by memorizing important formulas before the exam. Prepare a formula sheet separately and learn all the formulas by heart. Squares and square roots should be on your tips.

First of all, join NDA online courses at Future Cadets to keep yourself ahead of your competitors. Future Cadets offers best online Maths, English and GK courses which are specially designed as per the exam pattern. You can prepare with these courses from wherever you are and whenever you want. Other than that following are the books recommended for you.

- Pathfinder for NDA & NA Entrance Examination National Defence Academy/Naval Academy Conducted by UPSC - Arihant Publication
- MATHEMATICS FOR NDA AND NA: NATIONAL DEFENCE ACADEMY AND NAVAL ACADEMY - By RS Aggarwal
- Study Package MATHEMATICS NDA & NA (National Defence Academy & Naval Academy) Entrance Exam - Arihant Publication

Also, read UPSC NDA And NA Examination II, 2018 Results Announced

The syllabus of algebra includes the concept of set, operations on sets and Venn diagrams. De Morgan laws, Cartesian product, relation and equivalence relation. Representation of real numbers on a line. Complex numbers—basic properties, modulus, argument, cube roots of unity. The binary system of numbers. Conversion of a number in decimal system to a binary system and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. A solution of linear inequalities of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications.

Types of matrices, operations on matrices. The determinant of a matrix, basic properties of determinants. Adjoint and inverse of a square matrix, Applications-Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.

Angles and their measures in degrees and in radians. Trigonometric ratios. Trigonometric identities Sum and difference formulae. Multiple and Sub-multiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles.

Rectangular Cartesian Coordinate system. Distance formula. The equation of a line in various forms. An angle between two lines. The distance of a point from a line. An equation of a circle in standard and in general form. Standard forms of parabola, ellipse, and hyperbola. Eccentricity and axis of a conic. The point in a three-dimensional space, the distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. An equation of a plane and a line in various forms. The angle between the two lines and the angle between the two planes. The equation of a sphere.

The concept of a real-valued function–domain, range, and a graph of a function. Composite functions, one to one, onto and inverse functions. Notion of limit, Standard limits—examples. Continuity of functions—examples, algebraic operations on continuous functions. Derivative of function at a point, geometrical and physical interpretation of a derivative—applications. Derivatives of the sum, product, and quotient of functions, derivative of a function with respect to another function, a derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.

Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals—determination of areas of plane regions bounded by curves — applications. Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of differential equations, a solution of first order and first degree differential equations of various types—examples. Application in problems of growth and decay.

Vectors in two and three dimensions, magnitude and direction of a vector. Unit and null vectors, the addition of vectors, scalar multiplication of a vector, scalar product or dot product of two vectors. Vector product or cross product of two vectors. Applications—work done by a force and moment of a force and in geometrical problems.

Statistics: Classification of data, Frequency distribution, cumulative frequency distribution—examples. Graphical representation—Histogram, Pie Chart, frequency polygon—examples. Measures of Central Tendency—Mean, median and mode. Variance and standard deviation—determination and comparison. Correlation and regression.

Probability: Random experiment, outcomes, and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability—classical and statistical—examples. Elementary theorems on probability—simple problems. Conditional probability, Bayes’ theorem—simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.

In the Mathematics section, there will be a total of 120 questions of 300 marks. All questions will carry 2.5 marks each, which will only be allotted for choosing the correct answer. 0.83 Marks will be deducted for each incorrect answer. The duration of this exam is 150 minutes or 2.5 hours.

All the best for the exam!

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