NATA Syllabus & Exam Pattern

Exam Mode Online for Part B
Offline for Part A
Language Medium of the Exam English
Exam Duration 3 hours 15 minutes
Sections The exam will have two parts:
Part A – Drawing Test (Offline)
Part B – PCM and General Aptitude & Logical Reasoning (Online)
Section-wise Time Duration Part A – Drawing Test: 135 minutes (2 hours 15 minutes)
Part B – PCM and General Aptitude: 45 minutes
Number of Questions Part A – Drawing Test- 3 Drawing Questions
Part B – PCM – 15 Questions, General Aptitude & Logical Reasoning – 35 Questions
Total Marks 200 Marks
Marking Scheme Candidates will be awarded 1.5 marks for every correct answer in Part B.
There will be no negative marking.

NATA Syllabus For Maths

Algebra Definitions of A. P. and G.P.; General term; Summation of first n-terms of series ∑n, ∑n²,∑n3; Arithmetic/Geometric series, A.M., G.M. and their relation; Infinite G.P. series and its sum

Logarithms
Definition; General properties; Change of base

Matrices
Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. The determinant of a square matrix. Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. The inverse of a matrix. Finding the area of a triangle. Solutions of system of linear equations. (Not more than 3 variables).

Trigonometry

Trigonometric functions, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions and their properties

Coordinate Geometry

Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polar coordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes, concept of locus, elementary locus problems. Slope of a line. Equation of lines in different forms, the angle between two lines. Condition of perpendicularity and parallelism of two lines. Distance of a point from a line. Distance between two parallel lines. Lines through the point of intersection of two lines.Equation of a circle with a given centre and radius. Condition that a general equation of second degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter. Equation of tangent, normal and chord. Parametric equation of a circle. The intersection of a line with a circle. Equation of common chord of two intersecting circles.

dimensional coordinate geometry

Direction cosines and direction ratios, the distance between two points and section formula, equation of a straight line, equation of a plane, distance of a point from a plane.

Theory of calculus
Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivatives of implicit functions and functions defined parametrically. Integration as a reverse process of differentiation, indefinite integral of standard functions. Integration by parts. Integration by substitution and partial fraction. Definite integral as a limit of a sum with equal subdivisions. The fundamental theorem of integral calculus and its applications. Properties of definite integrals. Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first-order differential equations

Application of calculus

Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima. Differential coefficient as a measure of rate. Motion in a straight line with constant acceleration. Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight lines. Area of the region included between two elementary curves.

Permutation & Combination
Permutation of n different things taken r at a time (r ≤ n). Permutation of n things not all different. Permutation with repetitions (circular permutation excluded). Combinations of n different things taken r at a time (r ≤ n). Combination of n things not all different. Basic properties. Problems involving both permutations and combinations.

Statistics & Probability
The measure of dispersion, mean, variance and standard deviation, frequency distribution. Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trails and Binomial distribution.