NATA Syllabus – Mathematics, General Aptitude & Drawing Syllabus for NATA 2019


The Council of Architecture will provide the NATA Syllabus 2019. Candidates who aspire for B.Arch in institute offering admission on the basis of NATA score. NATA 2019 syllabus covers the topics of  Mathematics, General Aptitude, and the drawing section.  Candidates should go through NATA syllabus 2019 thoroughly, it will help the candidates to prepare for the topics of NATA Exam. The three-hour NATA exam takes place in offline and online modes.

  • The Part A of the exam is online
  • The Part B of the exam (drawing questions) offline.

All the candidates have to be well aware of the exam pattern and NATA 2019 syllabus. Follow this article for updated NATA Syllabus 2019.

NATA Exam Pattern

It is advisable to go through the exam pattern for understanding the sections & subsections and marks allotted for each part of the exam topics.


No. of Questions Marks
Mathematics (online) 20


General Aptitude (online)

40 80
Drawing (offline) 02


NATA Exam pattern 2019

NATA Syllabus 2019 – Complete Details

COA has not announced NATA Exam Syllabus 2019 yet. Aspirants should follow the syllabus of the previous year which is expected to remain the same as in the previous past years. Syllabus for NATA 2019 Architecture exam covers topics of Mathematics which are taught in 11 and 12 class in all the state and central board of the country.

Syllabus NATA 2019


General Aptitude

Drawing Test


  • A. P. and G.P.
  • General term
  • Summation of first n-terms of series ∑n, ∑n²,..
  • Arithmetic/Geometric series, and their relation
  • Infinite G.P. series: its sum
Mathematical Reasoning

  • Logical operations like “and”, “or”, “if” and “only if”, implies, implied by, statements.

  • Understanding of tautology, converse, contrapositive, and contradiction.

  • Understanding of scale and proportion of objects.

  • Geometric composition, and shape.

  • Conceptualization and visualization through structuring objects in memory.

  • Drawing of patterns- geometrical and abstract

  • Form transformations in 2D and 3D like union, surfaces, subtraction, rotation, and volumes.

  • Generating plan, elevation, 3D views of objects.

  • Creating 2D and 3D compositions using given forms & shapes.

  • Perspective drawing, sketching of urbanscape, landscape, common day-to-day life objects like furniture, equipment etc., from memory.


  • Definition
  • Change of base
  • General properties
Sets & Relations

  • Idea of sets, power set, subsets, complement, union, intersection and difference of sets,

  • Venn diagram, De Morgan’s Law, Relation and properties.

  • Equivalence relation —definition and elementary examples


  • Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, multiplication of matrices, and scalar multiplication.
  • Transpose of a matrix.
  • A 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 an area of a triangle.
  • Solutions of system of linear equations with one and two variables.
  • Texture, Objects related to architecture and built environment.

  • Interpretation of pictorial composition.

  • Visualizing three-dimensional objects from the two-dimensional drawing. Visualizing different sides of 3D objects.

  • Mental ability (visual, numerical and verbal), analytical reasoning.

  • General awareness of international/national architects.

  • General awareness of famous architectural creations.


  • Trigonometric functions: addition, subtraction formulae, formulae involving multiple, sub-multiple angles, and general solution of trigonometric equations.
  • Properties of triangles, inverse trigonometric function, and its properties
Coordinate Geometry

  • Section formula, Distance formula, area of a triangle, condition of collinearity of 3 points in a plane.
  • Polar coordinates, the transformation from polar to cartesian coordinates and vice versa.
  • Locus: Parallel transformation of axes, concept of locus, elementary locus problems.
  • Line: Slope of a line. Equation of lines in different forms, angle between two lines, condition of perpendicularity and parallelism of two lines, lines through the point of intersection of two lines.
  • The distance of a point from a line. The distance between two parallel lines.
  • Circle : Equation of a circle with a given radius and center, condition of a general equation of second degree in x, y may represent a circle, the equation of a circle in terms of endpoints of a diameter.
  • Tangents & Chords: equation of tangent, normal and chord, parametric equation of a circle, the intersection of a line with a circle, and equation of common chord of two intersecting circles.
3-D Coordinate Geometry

  • Direction ratios and direction cosines
  • The distance between the two points and section formula.
  • The equation of a straight line.
  • Distance of a point from a plane and the equation of a plane.
Theory & Application of Calculus

  • The composition of two functions and inverse of a function, function limit, continuity, derivative, chain rule, derivative of implicit functions, and functions defined parametrically.
  • Indefinite integral of standard functions and Integration as a reverse process of differentiation.
  • Integration, integration by parts, integration by substitution, and partial fraction.
  • Definite integral: Properties of definite integrals, definite integrals as a limit of a sum with equal subdivisions. The fundamental theorem of integral calculus and its applications.
  • Differentiation: Formation of ordinary differential equations, the solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
  • Tangents, normals, conditions of tangency.
  • Determination of monotonicity, minima, and maxima.
  • Motion in a straight line with constant acceleration and differential coefficient as a measure of rate
  • Geometric interpretation of definite integral as an area, calculation of area bounded by straight lines and elementary curves.
  • Area of the region included between the two elementary curves.
Permutation & Combination

  • Permutation of n different things taking r at a time (r ≤ n), permutation of n things not all different.
  • The permutation with repetition (circular permutation excluded).
  • Combinations of n different things taking r at a time (r ≤ n).
  • Combination of n things not all different and basic properties.
  • Problems involving the two together permutations and combinations.
Statistics & Probability

  • Measure of dispersion, mean, standard deviation, variance, and frequency distribution.
  •  Multiplication and Addition rules of probability, conditional probability, and Bayes’ Theorem.
  • Independence of events, repeated independent trials, and Binomial distribution

Apply now for NATA 2019

NATA Maths, GA and Drawing Syllabus 2019

  • NATA mathematics syllabus is vast and comprises chapters and topics of the 11 and 12 class syllabus of various national and centre education boards across India. The NATA maths syllabus covers the main topics important for architect programme.
  • The general aptitude syllabus NATA is similar to that of JEE exam and has questions related to problem-solving and logical reasoning with sets and correlations importantly.
  • The syllabus for drawing test is knowledge of scales, art orientation, 2D & 3D drawing, and day to day visual perception of objects etc.

To know the details about the NATA syllabus 2019, candidates can go through the official website of NATA.