National Aptitude Test in Architecture (NATA) is being conducted by COA since 2006, in terms of the provisions
of CoA (Minimum Standards of Architectural Education) Regulations, 1983, published in the Gazette of India.
It is implied that a separate aptitude test in .Architecture should be conducted and such test should not be
combined with the tests for admissions to Engineering, Pharmacy, Medicine and other disciplines. Being the
competent authority for fixing norms and standards for architectural institutions, COA has the necessary
expertise to hold a Common Aptitude Test in Architecture, at national level to provide a single window system
for appearing in aptitude test and to facilitate institutions, students and public at large for admission to First
year of 5 year B.Arch. Degree Course at all recognized Institutions all over country.
The purpose of conducting NATA is to provide a single scheme of examination for holding aptitude test and to
facilitate prospective students all over the country to apply for admissions in architecture seats in institutions
spread across the country and to avoid appearing in multiple aptitude tests. However, the actual admissions
shall be carried out only by the concerned competent authorities of the respective states/institutions based
on NATA. The NATA also ensures that the eligibility criteria for admission to five year Bachelor of Architecture
(B.Arch.) degree course, as prescribed by CoA and duly approved by the Central Government, are strictly
adhered to and followed all over the country in Architectural Institutions.
NATA measures the aptitude of the applicant for specific field of study, i.e. Architecture. The test makes an
assessment of drawing and observation skills, sense of proportion, aesthetic sensitivity, Mathematics and
critical thinking ability that have been acquired over a long period of time and are related to the specific field
In order to further strengthen the conduct of the test and to attract more number of bright aspirants into
studying Architecture, COA has decided to conduct NATA-2018 for admission to B.Arch. in the academic
session 2018-19, as a one-day online examination all over the country, which will comprise of two parts: Part
A comprises of Multiple Choice Questions (MCQ) to be answered online and Part B is paper based drawing.
This would surely be a step towards producing competent architects to serve the society and to build the
nation in coming decades, especially in view of the Govt. of India mission of Smart Cities.
NATA Syllabus 2018
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.
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. Determinant of a square matrix. Properties of determinants
(statement only). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a matrix. Finding 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, 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 center 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. 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, 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, derivative 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. 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.
Objects, texture related to architecture and 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.
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.
Understanding of scale and proportion of objects, geometric composition, shape, building forms and elements, aesthetics, colour 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.
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