NATA Syllabus 2025

# NATA Syllabus 2025 | NATA Sample Papers & Mock Tests 2025 - JEE PDF Download

 Table of contents Syllabus for Mathematics (i) NATA Syllabus for Algebra NATA Syllabus for General Aptitude NATA Syllabus for Mathematical Reasoning NATA Syllabus for Sets and Relations Syllabus for Drawing Test

## Syllabus for Mathematics

### (i) NATA Syllabus for 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.

### (ii) NATA Syllabus for Logarithms

• Definition.
• General properties.
• Change of base.

### (iii) NATA Syllabus for 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 the area of a triangle.
• Solutions of systems of linear equations (Not more than 3 variables).

### (iv) NATA Syllabus for Trigonometry

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

### (v) NATA Syllabus for 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 the locus, elementary locus problems.
• Slope of a line.
• The 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 the common chord of two intersecting circles.

### (vi) NATA Syllabus for 3-Dimensional Coordinate 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.

### (vii) NATA Syllabus for 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.
• Fundamental theorem of integral calculus and its applications.
• Properties of definite integrals.
• Formation of ordinary differential equations, a solution of homogeneous differential equations, separation of variables method, linear first-order differential equations.

### (viii) NATA Syllabus for Application of Calculus

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

### (ix) NATA Syllabus for 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.

### (x) NATA Syllabus for 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 trials and Binomial distribution.

Detailed syllabus of Mathematics

## NATA Syllabus for General Aptitude

• Objects, texture related to architecture and the built environment.
• Interpretation of pictorial compositions, Visualising three-dimensional objects from the 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.

## NATA Syllabus for Mathematical Reasoning

• Statements, logical operations like and, or, if and only if, implies, implied by.
• Understanding of tautology, converse, contradiction, and contrapositive.

## NATA Syllabus for 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.

## Syllabus for Drawing Test

• Understanding of scale and proportion of objects, geometric composition, shape, building forms and elements, aesthetics, color texture, harmony and contrast.
• Conceptualization and Visualisation 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 shapes 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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## NATA Sample Papers & Mock Tests 2025

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## FAQs on NATA Syllabus 2025 - NATA Sample Papers & Mock Tests 2025 - JEE

 1. What is the NATA syllabus for Algebra?
Ans. The NATA syllabus for Algebra includes topics such as linear equations, quadratic equations, matrices, determinants, progressions, permutations and combinations, binomial theorem, and probability.
 2. What does the NATA syllabus for General Aptitude cover?
Ans. The NATA syllabus for General Aptitude covers topics such as architectural awareness, architectural terminology, visualizing three-dimensional objects from two-dimensional drawings, mental ability, analytical reasoning, and general mathematical aptitude.
 3. What is included in the NATA syllabus for Mathematical Reasoning?
Ans. The NATA syllabus for Mathematical Reasoning includes topics such as mathematical puzzles, sets and relations, statements and conclusions, logical reasoning, and critical thinking.
 4. What topics are covered in the NATA syllabus for Sets and Relations?
Ans. The NATA syllabus for Sets and Relations covers topics such as sets, types of sets, operations on sets, relations, types of relations, functions, types of functions, and composite functions.
 5. What is the syllabus for the Drawing Test in NATA?
Ans. The syllabus for the Drawing Test in NATA includes topics such as understanding scale and proportion, visualizing and drawing two-dimensional compositions, sketching of urban scape and landscape, perspective drawing, and rendering techniques.

## NATA Sample Papers & Mock Tests 2025

2 videos|10 docs|17 tests

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