Structure of the Question Papers & Syllabus:

NATA

Exam Structure

Syllabus

Cognitive skills for Drawing and visual composition Test (Part-A)

Understanding the important visual principles in a composition (2D OR 3D) such as balance, rhythm, direction, hierarchy, etc. Understanding geometry and the ability to visualize shape and solve geometrical puzzles to test spatial intelligence; Understanding color theory and the various terminologies to test color scheme awareness and knowledge; Visual system interpretation and perception to test graphical similarities and other properties; Ability to understand spatial relationship between objects, and to visualize images and scenarios; Tests for cognitive ability: perception, attention, recognition, memory etc.

Physics

Electrostatics- Electric charges and Fields; Electrostatic Potential and Capacitance; Current Electricity; Magnetic Effects of Current and Magnetism; Moving Charges and magnetism; Magnetism and Matter; Electromagnetic Induction and Alternating currents- Electromagnetic Induction; Alternating Current; Optics- Ray optics and optical instruments, Wave Optics; Dual nature of radiation and Matter; Atoms and Nuclei- Atoms, Nuclei; Electronic devices- Semiconductor Electronics, Materials, Devices and Simple circuits

Chemistry

Some Basic Concepts of Chemistry; Structure of Atom; Classification of Elements and Periodicity in Properties; Chemical Bonding and Molecular; States of Matter: Gases and Liquids; Chemical Thermodynamics; Equilibrium; Redox Reactions; Hydrogen; s- Block Elements p - Block Elements; Organic Chemistry: Some basic Principles and Techniques; Hydrocarbons; Environmental Chemistry

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. 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.

General Aptitude

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.

JEE Paper 2

Exam Structure

JEE (B.Arch)
Sections	Questions	Marks
Drawing	2	100
Aptitude	40	200
Mathematics	25	100
Total	77	400

Syllabus

Part 1-Awareness of persons, places, Buildings, Materials, Objects, Texture related to Architecture and build environment. Visualising three dimensional objects from two dimensional drawings. Visualising different sides of three dimensional objects. Analytical Reasoning Mental Ability (Visual, Numerical and Verbal.

Part 2-Three dimensional - perception: Understanding and appreciation of scale and proportion of objects, building forms and elements, colour texture, harmony and contrast. Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms both 2D and 3D union, subtraction, rotation, development of surfaces and volumes, Generation of Plan, elevations and 3D views of objects. Creating two dimensional and three dimensional compositions using given shapes and forms.

Sketching of scenes and activities from memory of urbanscape (public space, market, festivals, street scenes, monuments, recreational spaces etc.).landscape (river fronts, jungles, gardens, trees, plants etc.) and rural life.

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