NATA Maths Syllabus and Sample questions 2024

The Nationwide Aptitude Test in Architecture (NATA) is a national test administered by the Council of Architecture for admission to the 5-year B. Arch Degree Course at all approved universities in India. The following are some of the significant subjects that bear weightage in the exam as per the NATA maths syllabus and sample questions:

• Mathematics.
• Physics and Geometry.
• Language and interpretation.
• Elements and principles of design.
• Aesthetic sensitivity.
• Colour theory.
• Lateral thinking and logical reasoning.

In order to appear for the NATA exam, a candidate should have mathematics as a compulsory subject for 10+2. They are also advised to go through NATA maths syllabus and sample questions

Numerical reasoning is an important part of the exam. It tests the candidate's mathematical ability through simple problems. The article walks you through the NATA exam pattern, NATA maths paper syllabus, questions and topics for NATA preparations. 

Before beginning NATA preparation, students must consider going through the entrie NATA maths syllabus with its weightage along with NATA maths sample papers in order to enhance their NATA exam preparation. 

Download Free Study Material for NATA Exam 2024 by Creative Edge

NATA Syllabus For Maths

This year, the disciplines of Mathematics, Physics, and Chemistry were not featured as the primary topics in the NATA official brochure 2024. Instead, Aptitude will be the critical portion from which questions in the test will be asked. So, candidates appearing for the NATA 2024 exam must prepare according to the NATA maths syllabus and sample questions. 

The NATA official brochure, on the other hand, offers numerous related topics in the NATA exam syllabus that may be questioned in the exam from the three courses. As a result, for reference, the following topics were mostly asked in the previous year's NATA exam.

Check out the NATA syllabus as listed below: 

Algebra

1. Definitions of A. P. and G.P.
2. General term
3. Summation of first n-terms of series ∑n, ∑n², ∑n3 
4. Arithmetic/Geometric series, A.M., G.M., and their relation
5. Infinite G.P. series and its sum.

Logarithms

1. Definitions
2. General properties
3. Change of base

Matrices

1. Operations of addition
2. Scalar multiplication and multiplication of matrices. 
3. Transpose of a matrix.
4. Determinants of a square matrix. 
5. Properties of determinants (statement only). 
6. The minor, cofactor, and adjoint of a matrix. 
7. Nonsingular matrix. 
8. The inverse of a matrix. 
9. Finding the area of a triangle. 
10. Solutions of a system of linear equations.

Read more: NATA Exam Analysis 2023

Trigonometry

1. Trigonometric functions
2. Addition and Subtraction formulae
3. Formulae involving multiple and submultiple angles
4. The general solution of trigonometric equations. 
5. Properties of triangles 
6. Inverse trigonometric
7. Functions and their properties
8. Coordinate Geometry:
9. Distance formula
10. Section formula
11. Area of a triangle 
12. Condition of collinearity of three
13. Points in a plane
14. Polar coordinates 
15. The transformation from Cartesian to polar coordinates and vice versa
16. Parallel transformation of axes
17. Concept of locus 
18. Elementary locus problems
19. The slope of a line
20. Equation of lines in different forms
21. Angles between two lines
22. Condition of perpendicularity and parallelism of two lines
23. Distance of a point from a line
24. Distance between two parallel lines
25. Lines through the point of intersection of two lines.
26. Equation of a circle with a given center and radius
27. A condition that a general equation of second degree in x, y may represent a circle
28. Equation of a circle in terms of endpoints of a diameter
29. Equation of tangent
30. Normal and Chord
31. Parametric equation of a circle
32. The intersection of a line with a circle
33. Equation of the common chord of two intersecting circles.
34. 3-dimensional coordinate geometry
35. Direction cosines and direction ratios 
36. Distance between two points and section formula 
37. Equation of a straight line 
38. Equation of a plane
39. Distance of a point from a plane.

Theory of calculus

1. Functions are the composition of two functions and inverse functions.
2. Limit
3. Continuity
4. Derivative
5. Chain rule
6. Derivatives of implicit functions and functions defined parametrically
7. Integration as a reverse process of differentiation
8. The indefinite integral of standard functions
9. Integration by parts
10. Integration by substitution and partial fraction
11. Definite integral as a limit of a sum with equal subdivisions
12. Fundamental theorem of integral calculus and its applications
13. Properties of definite integrals
14. Formation of ordinary differential equations 
15. Solution of homogeneous differential equations
16. Separation of variables method
17. linear first-order differential equations

Read more: Important GK Questions for NATA

Application of calculus

1. Tangents and normals
2. Conditions of tangency
3. Determination of monotonicity, maxima, and minima
4. Differential coefficient as a measure of the rate
5. Motion in a straight line with constant acceleration.
6. Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight lines
7. The Area of the region included two elementary curves

Read more: Best Preparation Books for NATA

Permutation & Combination

1. Permutation of n different things taken r at a time (r ≤ n). Permutation of n things is not all different.
2. Permutation with repetitions (circular permutation excluded).
3. Combinations of n different things taken r at a time (r ≤ n). 
4. The combination of n things is not all different. 
5. Basic properties. Problems involving both permutations and combinations.

Statistics & Probability

1. Measurement of dispersion, mean, variance, standard deviation, and frequency distribution.
2. Addition and multiplication rules of probability
3. Conditional probability and Bayes’ Theorem
4. Independence of events
5. Repeated independent trials 
6. Binomial distribution.

Previous Year Questions And Analysis

According to the analysis of the previous year’s maths questions, almost all the questions ranged from easy to moderate level. 

Questions in the NATA sample papers maths are very easy and basic. Mostly the questions were asked from matrices and determinants, relations, and functions. The simple area-based questions also form an important part of the exam.

The Maximum number of questions was based on ratio & proportion, and percentage; the questions in algebra were a little tricky. Students also said that NATA exam maths syllabus wasn't very calculative, and about 70% of questions were based on geometry. 

Mathematical Reasoning based questions were asked, and the level of the questions was from class 6th to 10th based on the syllabus.

From the past some years the maths section has been very easy and scoring; perform your NATA preparations well and don't leave any topic since everything is pretty basic. You can easily score good marks in this section without wasting much time. Do keep in mind to go through and solve as many samples and previous year’s NATA question papers in order to understand the type of questions that may come in the exam.

As NATA entrance exam covers various subjects, including mathematics. To begin your NATA preparation, understand the maths syllabus and solve NATA sample papers for maths. Wondering when to start? Read our article on "When to Start NATA Preparation" for guidance and score well by thorough preparation.