NDA 1 2023 Maths Original Question Papers [All Sets]

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April 15, 2023
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Download the NDA 1 2023 Mathematics original question paper first published by SSBCrackExams. The NDA 1 2023 tests are now being administered around the country by UPSC. Several male and female applicants seeking admission to the prestigious National Defence Academy will take the NDA 1 2023 exam offline on April 16, 2023. Prepare for the next NDA Exams by downloading the NDA 1 2023 Exam Question Paper PDFs for Mathematics from the article. We will release the NDA 1 2023 exam Maths papers in their entirety (original).

NDA 1 2023 Maths Original Question Papers All Sets

NDA 1 2023 Exam Pattern & Analysis

S.No.	Subjects	Marks
1.	Maths	300
2.	English	200
3.	Physics	To Be Updated
4.	Chemistry	To Be Updated
5.	General Science	To Be Updated
6.	History, Freedom Movement, etc.	To Be Updated
7.	Geography	To Be Updated
8.	Current Events and Defence Specific	To Be Updated

If you are preparing for the NDA 2 2023 and NDA 1 2024 written exam and SSB interview, you can check SSBCrackExams online courses and mock tests.

NDA 1 2023 Maths Question Papers [Original – All Sets]

NDA 1 2023 Paper Mathematics	Download PDF (UPDATED)
Set A	Download
Set B	Download
Set C	Download
Set D	Download

Also read: NDA 2 2023 Notification, Exam Date, Eligibility, Syllabus And Age Limits

NDA 1 2023 Written Examination

Paper	Subject	Duration	Maximum Marks
I	Mathematics	2.5 hours	300
II	General Ability Test	2.5 hours	600
Total	900 marks

NDA 1 2023 General Ability Test

Part	Subject	Maximum Marks
Part A	English	200
Part B	General Knowledge	400
	Total	600

NDA 1 2023 Exam Maths Syllabus

PAPER-I

MATHEMATICS	(Maximum Marks-300)
ALGEBRA	Concept of set, operations on sets, Venn diagrams. De Morgan laws, Cartesian product, relation, equivalence relation. Representation of real numbers on a line. Complex numbers—basic properties, modulus, argument, cube roots of unity. Binary system of numbers. Conversion of a number in decimal system to binary system and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. Solution of linear inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications.
MATRICES AND DETERMINANTS	Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoint and inverse of a square matrix, ApplicationsSolution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.
TRIGONOMETRY	Angles and their measures in degrees and in radians. Trigonometrical ratios. Trigonometric identities Sum and difference formulae. Multiple and Submultiple angles. Inverse trigonometric functions. Applications-Height and distance, properties of triangles.
ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS	Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. Angle between two lines. Distance of a point from a line. Equation of a circle in standard and in general form. Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic. Point in a three dimensional space, distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. Angle between two lines and angle between two planes. Equation of a sphere.
DIFFERENTIAL CALCULUS	Concept of a real valued function–domain, range and 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 sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function. Second order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.
INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS	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 a differential equations, solution of first order and first degree differential equations of various types—examples. Application in problems of growth and decay.
VECTOR ALGEBRA	Vectors in two and three dimensions, magnitude and direction of a vector. Unit and null vectors, 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 AND PROBABILITY	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 Binominal distribution.