National Aptitude Test in Architecture

(NATA)

For every architecture aspirant student, NATA is an all India entrance exam required to qualify to get a seat in various esteemed government-funded and private architecture colleges of India. NATA is being conducted by COA (Council of Architecture) since 2006. Since then various changes have been taking place regarding the format, syllabus, attempts, etc. 

Current Rules

• 2 attempts are allowed for a student to qualify the exam and the best marks secured in either of the Tests were considered as the valid score for admission to B.Arch. Course.
• No candidate shall be admitted to architecture course unless she/ he has passed an examination at the end of the 10+2 scheme of examination with at least 50% aggregate marks in Physics, Chemistry & Mathematics and also at least 50% marks in aggregate of the 10+2 level examination or passed 10+3 Diploma Examination with Mathematics as compulsory subject with at least 50% marks in aggregate; (those appearing the 10+2 exam with PCM subjects in the current year may also provisionally appear in the exam, however, their result in NATA-2019 will be declared a valid subject to fulfilling the above criteria).
• NATA score shall be valid for 1 year only

Syllabus

            

SUBJECT	QUESTION	MARKS	MODE
Mathematics	20	40	MCQ (online)
General Aptitude	40	80	MCQ (online)
Drawing Test	02	80	Paper & Pencil

MATHEMATICS

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, the transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes, the concept of locus, elementary locus problems. The slope of a line. Equation of lines in different forms, angle between two lines. Condition of perpendicularity and parallelism of two lines. The 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 center and radius. The 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.

3-Dimensional Co-ordinate 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, the 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 and 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 and Probability: 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.

GENERAL APTITUDE

Objects, texture related to architecture and the built environment. Interpretation of pictorial compositions, Visualizing three-dimensional objects from two-dimensional drawing. Visualizing different sides of 3D objects. Analytical reasoning, mental ability (visual, numerical and verbal), General awareness of national/international architects and famous architectural creations.

Mathematical reasoning: Statements, logical operations like and, or, if and only if, implies, implied by the understanding of tautology, converse, contradiction and contrapositive.

Sets and Relations: Idea of sets, subsets, power set, complement, union, intersection, and difference of sets, Venn diagram, De Morgan's Laws, Relation and its properties. Equivalence relation — definition and elementary examples.

DRAWING TEST

Understanding of scale and proportion of objects, geometric composition, shape, building forms and

elements, aesthetics, color texture, harmony, and contrast. Conceptualization and Visualization through structuring objects in memory. Drawing of patterns - both geometrical and abstract. Form transformations in 2D and 3D like union, subtraction, rotation, surfaces, and volumes. Generating plan, elevation and 3D views of objects. Creating 2D and 3D compositions using given shape and forms. Perspective drawing, Sketching of urbanscape and landscape, Common day-to-day life objects like furniture, equipment, etc., from memory.

Qualifying marks for NATA-2019 would be based on the following rules: 

1. A minimum of 25% must be secured in MCQ portion (30 out of 120) 

2. A minimum of 25% must be secured in Drawing portion (20 out of 80) 

3. Overall qualifying marks (out of 200) would be based on post-exam statistics and at the discretion of the Council. 

A Candidate will not qualify in NATA-2019 unless he/ she satisfies all three conditions mentioned above.

NATA 2019 brochure: https://online.cbexams.com/nata/images/NATA2019Brochure.pdf?v1

In the upcoming post we will discuss about clearing NATA.