August 9, 2024
Overview: Discover the essential aspects of the CUET maths syllabus 2025, including detailed sections, topics, and eligibility criteria. Explore the exam pattern, marking scheme, and key preparation tips to excel in the CUET Maths Exam.
The Common University Entrance Test (CUET) Mathematics Syllabus has been released by the National Testing Agency (NTA) on its official website. Candidates studying for the CUET 2025 can obtain the CUET Maths syllabus pdf from the website cuet.samarth.ac.in.
CUET is an entrance examination for admission in various UG and PG courses of several Central universities all over India.
Candidates should be familiar with the CUET Maths syllabus if they plan to take Mathematics as a topic on the CUET exam 2025. The CUET Exam syllabus for the topic of mathematics has been released by the appropriate government agencies.
The detailed CUET maths syllabus is listed in the tables below for aspirants to review.
All you need is a thorough understanding of the CUET Maths Syllabus and practise in order to achieve good grades and pursue your higher studies in mathematics at your preferred college. Practise, practise, practise is necessary for math. Your notions become more clear as you revise more frequently.
The CUET Maths 2025 subject is extremely thorough, but if you organise your CUET Maths preparation effectively, you will undoubtedly get good results. To ensure that no topic is overlooked in their CUET Preparation 2025, candidates are urged to thoroughly review the CUET Maths Syllabus 2025.
Candidates who are aiming to pass the mathematics entrance exams need to have a solid understanding of the CUET subjects and questions from the CUET syllabus. Candidates will receive a question paper with 45–50 questions on it, out of which they must correctly answer at least 35–40 of them. An illustration of the same is provided below:
CUET Exam Pattern 2025 |
||||
Sections |
Subjects/ Tests |
No. of Questions |
To be Attempted |
Duration |
Section IA |
13 Languages |
50 |
40 in each language |
45 minutes for each language |
Section IB |
20 Languages |
|||
Section II |
27 Domain-specific Subjects |
45/50 |
35/40 |
45 minutes for each subject |
Section III |
General Test |
60 |
50 |
60 minutes |
Check: CUET Exam Pattern
CUET Mathematics Syllabus 2025 Overview |
|
Exam Conducting Body |
National Testing Agency |
Examination Name |
Common Universities Entrance Test (CUET 2025) |
Medium of Examination |
13 Languages (English, Kannada, Hindi, Punjabi, Marathi, Tamil, Urdu, Malayalam, Odia, Assamese, Telugu, Bengali, and Gujarati) |
Examination Mode |
Computer-based Test (CBT) |
Time Allotted for Maths Exam |
45 minutes |
Total Number of Questions in the Maths Section |
85 questions |
Total Number of Questions to be Answered in Mathematics |
65 questions |
Total Marks in Mathematics |
325 |
Marking Scheme |
|
Read More: CUET Computer Science Syllabus 2025
The CUET Maths Syllabus 2025 has been divided into multiple subsections under Section A. Section A of the mathematics test has a total of 15 questions. The contestant must respond to these 15 questions. Problems from both mathematics and applied mathematics are included on the exam. The following topics are covered in the CUET Maths Syllabus 2025 Section A:
Algebra
(i) Matrices and types of Matrices
(ii) Equality of Matrices, transpose of a Matrix, Symmetric and Skew Symmetric Matrix
(iii) Algebra of Matrices
(iv) Determinants
(v) Inverse of a Matrix
(vi) Solving of simultaneous equations using Matrix Method
Check: CUET Chemistry Syllabus 2025
Calculus
(i) Higher order derivatives
(ii) Tangents and Normals
(iii) Increasing and Decreasing Functions
(iv). Maxima and Minima
Integration and its Applications
(i) Indefinite integrals of simple functions
(ii) Evaluation of indefinite integrals
(iii) Definite Integrals
(iv). Application of Integration as area under the curve
Differential Equations
(i) Order and degree of differential equations
(ii) Formulating and solving of differential equations with variable separable
Check: CUET Medical Courses 2025
Probability Distributions
(i) Random variables and its probability distribution
(ii) Expected value of a random variable
(iii) Variance and Standard Deviation of a random variable
(iv). Binomial Distribution
Linear Programming
(i) Mathematical formulation of Linear Programming Problem
(ii) Graphical method of solution for problems in two variables
(iii) Feasible and infeasible regions
(iv). Optimal feasible solution
Check: CUET vs JEE Mains: Which is Tough?
There are two sections to the Section B of the CUET maths syllabus: B1 and B2. There are 35 math-related questions in Section B1. 25 questions must be answered by the participant. Section B2 from the applied section contains 35 questions. There are 25 questions that the candidate must respond to. Read through Sections B1 and B2 of the CUET Maths Syllabus 2025 carefully.
Section B1: Mathematics
UNIT I: RELATIONS AND FUNCTIONS
1. Relations and Functions: Types of relations: Reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.
2. Inverse Trigonometric Functions: Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.
UNIT II: ALGEBRA
1. Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
2. Determinants: Determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
UNIT III: CALCULUS
1. Continuity and Differentiability: Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Concepts of exponential, logarithmic functions. Derivatives of log x and ex. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second-order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretations.
2. Applications of Derivatives: Applications of derivatives: Rate of change, increasing/decreasing functions, tangents and normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations). Tangent and Normal.
3. Integrals: Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals of the type to be evaluated. Definite integrals as a limit of a sum. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
4. Applications of the Integrals: Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/el-lipses (in standard form only), area between the two above said curves (the region should be cleraly identifiable).
5. Differential Equations: Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type dy + Py = Q , where P and Q are functions of x or constant dy dxdy + Px = Q , where P and Q are functions of y or constant
Check: CUET B. Pharma Government College List 2025
UNIT IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY
1. Vectors
Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, the addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors, scalar triple product.
2. Three-dimensional Geometry
Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, the shortest distance between two lines. Cartesian and vector equation of a plane. The angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.
Unit V: Linear Programming
Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
Unit VI: Probability
Multiplications theorem on probability. Conditional probability, independent events, total probability, Baye’s theorem. Random variable and its probability distribution, mean, and variance of haphazard variable. Repeated independent (Bernoulli) trials and Binomial distribution.
Check: CUET 2025 Physics Questions for Practice
Unit I: Numbers, Quantification, and Numerical Applications
A. Modulo Arithmetic
B. Congruence Modulo
C. Numerical Problems
D. Boats and Streams
E. Partnership
Check: List of Best CUET BBA Colleges In India 2025
F. Pipes and cisterns
G. Allegation and Mixture
H. Races and games
I. Numerical Inequalities
Check: CUET Engineering Colleges 2025
UNIT II: ALGEBRA
A. Matrices and types of matrices
B. Equality of matrices, Transpose of a matrix, Symmetric and skew symmetric matrix
UNIT III: CALCULUS
A. Higher Order Derivatives
B. Marginal Cost and Marginal Revenue using derivatives
C. Maxima and minima
UNIT IV: PROBABILITY DISTRIBUTIONS
A. Probability Distribution
B. Mathematical Expectation
C. Variance
Check: CUET B.Tech College List 2025
UNIT V: INDEX NUMBERS AND TIME-BASED DATA
A. Construction of index numbers
B. Index Numbers
C. Test of Adequacy of Index Numbers
UNIT VI: UNIT V: INDEX NUMBERS AND TIME-BASED DATA
A. Population and Sample
B. Parameter and statistics and Statistical Interferences
Check: CUET Marking Scheme
UNIT VII: INDEX NUMBERS AND TIME-BASED DATA
A. Distinguish between different components of time series
B. Time Series
C. Time Series analysis for univariate data
UNIT VIII: FINANCIAL MATHEMATICS
A. Calculation of EMI
B. Perpetuity, Sinking Funds
C. Valuation of bonds
D. Linear method of Depreciation
UNIT IX: LINEAR PROGRAMMING
A. Feasible and Infeasible Regions
B. Different types of Linear Programming Problems
C. Introduction and related terminology
D. Mathematical formulation of Linear Programming Problem
E. Graphical Method of Solution for problems in two Variables
F. Feasible and infeasible solutions, optimal feasible solution
Candidates must meet the qualifying requirements outlined by the relevant Universities in order to be eligible to take the CUET Exam in 2025. These requirements for qualifying have to do with a candidate's age and educational background. Every university has a different set of CUET eligibility requirements for the field of mathematics. The expected fundamental qualifying requirements for each university are, nevertheless, described here.
Check: CUET Courses
Although mathematics is thought to be a subject that receives excellent marks, some applicants may find it challenging. It can be confusing to study for an exam. There is so much going on in the candidate's head that they may start to feel worried before the exam.
As a result, we have compiled a list of study advice that can enable applicants to achieve higher mathematics scores on the CUET 2025 Entrance Exam. Take the time to carefully read and try to apply these advice.
Check: CUET Physics Syllabus
Selecting appropriate study materials is a crucial determinant of success during exam preparation. Candidates are advised to opt for study resources that are dependable, reputable, and authentic. The following list presents recommended study materials for the CUET 2025 Mathematics Exam:
Having reliable and widely used books for exam preparation can enhance the likelihood of securing admission to your desired university program. Below is a compilation of books suitable for preparing for the Mathematics section of the CUET exam:
Sr. No. |
Name of the Book |
Author |
Publisher |
1 |
Class 12th Mathematics NCERT |
- |
NCERT |
2 |
Higher Algebra |
Hall and Knight |
Arihant |
3 |
Differential Calculus for Beginners |
Joseph Edwards |
Arihant |
4 |
Integral Calculus for Beginners |
Joseph Edwards |
Arihant |
5 |
Mathematics for Class 12 (Set of 2 Volumes) |
RD Sharma |
Dhanpat Rai |
6 |
NCERT Exemplar Mathematics Class 12 |
Ankesh Kumar Singh |
Arihant |
For daily Math practice, candidates can acquire CUET Mock Tests at reasonable prices. Engaging in these mock tests is highly recommended, as they enhance speed, question-solving efficiency, and overall readiness for the exam. Candidates dealing with exam-related anxiety should consider incorporating mock tests into their preparation routine.
Check: CUET Cut off
A solid comprehension of the CUET Maths Syllabus 2025 holds the key to accessing opportunities for admission to Central universities.
By comprehending CUET Maths syllabus sections, adopting effective preparation strategies, and utilizing endorsed study materials, candidates can approach the CUET Mathematics Exam with confidence.
This comprehensive guide equips aspirants with the tools needed for excellence, ensuring a strong foundation for advanced studies and a successful academic journey ahead.
Key Takeaways:
Read more: How many universities can we select in CUET form 2025
Frequently Asked Questions
How can I access the CUET Mathematics Syllabus for 2024?
What is the CUET maths exam pattern and marking scheme?
How can I ensure success in Mathematics for CUET 2024?
What are the eligibility criteria for CUET Maths Exam?
Which study materials should I use for CUET mathematics preparation?
How should I handle exam anxiety and time pressure?