CUET Maths Syllabus 2025: Explore Important Topics & Sections

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 for the CUET Maths exam.  

The Common University Entrance Test (CUET) Mathematics Syllabus is released by the National Testing Agency (NTA) on its official website. You should be familiar with the CUET Maths syllabus if you plan to take Mathematics as a domain subject in the exam.

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CUET UG Maths Syllabus 2025

All you need is a thorough understanding of the CUET Maths syllabus and practice to achieve good grades and pursue your higher studies in mathematics at your preferred college through the Common University Entrance Test.

• The CUET Maths 2025 subject is extremely thorough, but you will undoubtedly get good results if you effectively organise your CUET Maths preparation.
• You must thoroughly review the CUET syllabus for Maths to ensure no topic is overlooked in your preparation. 

CUET Maths Syllabus PDF Download Link

Click on the button below to download the syllabus for CUET Maths: 

CUET Maths Syllabus 2025 PDF

CUET 2025 Exam Pattern 

If you aim to score 200/200 in the test, you need to have a solid understanding of the CUET exam pattern for Maths. The details are mentioned below: 

Exam Conducting Body	National Testing Agency
Medium of Examination	13 Languages (English, Kannada, Hindi, Punjabi, Marathi, Tamil, Urdu, Malayalam, Odia, Assamese, Telugu, Bengali, and Gujarati)
Examination Mode	Offline/Online (Based on no. of registrations)
Time Allotted for Maths Exam	60 minutes
Total Number of Questions in the Maths Section	50 questions
Total Number of Questions to be Answered in Mathematics	40 questions
Total Marks in Mathematics	200
Marking Scheme	Marks per correct answer: +5  Marks per the wrong answer: -1  Marks per unanswered question: 0

CUET Maths Syllabus 2025 

There are 2 sections in the CUET exam Maths syllabus: 

• Section- A & Section B (Section B1 and Section- B2)
• There will be one paper with 50 questions, of which you must attempt 40. 
• Section A will have 15 questions covering both Mathematics and Applied Mathematics, which is compulsory for all.

CUET Maths Syllabus: SECTION A 

Algebra 

• Matrices and types of Matrices 
• Equality of Matrices, transpose of a Matrix, Symmetric and Skew Symmetric Matrix 
• Algebra of Matrices 
• Determinants 
• Inverse of a Matrix 
• Solving of simultaneous equations using Matrix Method 

Check: CUET Chemistry Syllabus 2025

CUET Maths Syllabus: Calculus

• Higher order derivatives 
• Tangents and Normals 
• Increasing and Decreasing Functions 
• Maxima and Minima 

Integration and its Applications 

• Indefinite integrals of simple functions 
• Evaluation of indefinite integrals 
• Definite Integrals 
• Application of Integration as area under the curve 

Differential Equations 

• Order and degree of differential equations 
• Formulating and solving of differential equations with variable separable 

CUET Syllabus for Maths: Probability Distributions 

• Random variables and its probability distribution 
• Expected value of a random variable 
• Variance and Standard Deviation of a random variable 
• Binomial Distribution 

Linear Programming 

• Mathematical formulation of Linear Programming Problem 
• Graphical method of solution for problems in two variables 
• Feasible and infeasible regions 
• Optimal feasible solution 

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CUET Maths Syllabus: Section B 

• Section B of the maths syllabus for CUET has two sections: B1 and B2. Section B1 has 35 math-related questions, and the participant must answer 25 of them.
• Section B2 from the applied section contains 35 questions, 25 of which you must respond to.

Read through Sections B1 and B2 of the CUET Maths Syllabus 2025 carefully. 

Section B1: Mathematics 

UNIT I: RELATIONS AND FUNCTIONS 

• 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. 
• 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: Determinants 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 a system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix. 

CUET Maths Syllabus: 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 

CUET UG Maths Syllabus: 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. 

CUET Maths Syllabus: 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. 

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CUET Maths Syllabus: Section B2: Applied Mathematics 

Unit I: Numbers, Quantification, and Numerical Applications 

A. Modulo Arithmetic 

• Define the modulus of an integer 
• Apply arithmetic operations using modular arithmetic rules 

B. Congruence Modulo 

• Define congruence modulo 
• Apply the definition in various problems 

C. Numerical Problems 

• Solve real-life problems mathematically 

D. Boats and Streams 

• Express the problem in the formof an equation 
• Distinguish between upstream and downstream 

E. Partnership 

• Differentiate between active partner and sleeping partner 
• Determine the gain or loss to be divided among the partners in the ratio of their investment to due 
• consideration of the time volume/surface area for solid formed using two or more shapes 

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F. Pipes and cisterns 

• Determine the time taken by two or more pipes to fill or 

G. Allegation and Mixture 

• Understand the rule of allegation to produce a mixture at a given price 
• Determine the mean price of a mixture 
• Apply rule of the allegation 

H. Races and games 

• Compare the performance of two players w.r.t. time, 
• distance taken/distance covered/ Work done from the given data 

I. Numerical Inequalities 

• Describe the basic concepts of numerical inequalities 
• Understand and write numerical inequalities 

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CUET Syllabus for Maths: UNIT II- ALGEBRA 

A. Matrices and types of matrices 

• Define matrix 
• Identify different kinds of matrices 

B. Equality of matrices, Transpose of a matrix, Symmetric and skew-symmetric matrix 

• Determine the equality of two matrices 
• Write transpose of a given matrix 
• Define symmetric and skew-symmetric matrix 

UNIT III: CALCULUS 

A. Higher Order Derivatives 

• Determine second and higher-order derivatives 
• Understand the differentiation of parametric functions and implicit functions.
• Identify dependent and independent variables 

B. Marginal Cost and Marginal Revenue using derivatives 

• Define marginal cost and marginal revenue 
• Find marginal cost and marginal revenue 

C. Maxima and minima 

• Determine critical points of the function 
• Find the point(s) of local maxima and local minima and corresponding local maximum and local minimum values 
• Find the absolute maximum and absolute minimum value of a function 

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CUET Maths Syllabus: UNIT IV: PROBABILITY DISTRIBUTIONS 

A. Probability Distribution 

• Understand the concept of random Variables and its Probability Distributions 
• Find the probability distribution of the discrete random variable 

B. Mathematical Expectation: Apply arithmetic mean of frequency distribution to find the expected value of a random variable 

C. Variance: Calculate the Variance and S.D. of a random variable 

UNIT V: INDEX NUMBERS AND TIME-BASED DATA 

1. Construction of index numbers: Construct different types of index numbers 
2. Index Numbers: Define Index numbers as a special type of average 
3. Test of Adequacy of Index Numbers: Apply time reversal test 

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Maths Syllabus CUET: UNIT VI: INDEX NUMBERS AND TIME-BASED DATA 

A. Population and Sample 

• Define Population and Sample 
• Differentiate between population and sample 
• Define a representative sample from a population 

B. Parameter and statistics and Statistical Interferences 

• Define Parameter with reference to Population 
• Define Statistics with reference to Sample 
• Explain the relation between parameter and Statistic 
• Explain the limitation of Statistics to generalize the estimation for population 
• Interpret the concept of Statistical Significance and statistical Inferences 
• State Central Limit Theorem 
• Explain the relation between population-sampling Distribution-Sample 

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UNIT VII: INDEX NUMBERS AND TIME-BASED DATA 

1. Distinguish between different components of time series: Components of Time Series 
2. Time Series: Identify time series as chronological data 
3. Time Series analysis for univariate data: Solve practical problems based on statistical data and Interpret 

CUET Maths Syllabus: UNIT VIII: FINANCIAL MATHEMATICS 

A. Calculation of EMI 

• Explain the concept of EMI 
• Calculate EMI using various methods 

B. Perpetuity, Sinking Funds 

• Explain the concept of perpetuity and sinking fund 
• Calculate perpetuity 
• Differentiate between sinking fund and saving account 

C. Valuation of bonds 

• Define the concept of valuation of bonds and related terms 
• Calculate the value of the bond using the present value approach 

D. Linear method of Depreciation 

• Define the concept of linear method of Depreciation 
• Interpret the cost, residual value, and useful life of an asset from the given information 
• Calculate depreciation 

CUET Maths Syllabus: UNIT IX: LINEAR PROGRAMMING 

A. Feasible and Infeasible Regions: Identify feasible, infeasible and bounded regions 

B. Different types of Linear Programming Problems: Identify and formulate different types of LPP 

C. Introduction and related terminology: Familiarize with terms related to Linear Programming Problem 

D. Mathematical formulation of Linear Programming Problem: Formulate Linear Programming Problem 

E. Graphical Method of Solution for problems in two Variables: Draw the Graph for a system of linear inequalities involving two variables and to find its solution graphically 

F. Feasible and infeasible solutions, optimal feasible solution 

• Understand feasible and infeasible solutions 
• Find the optimal feasible solution 

CUET Maths Eligibility Criteria 2025 

Once you know the CUET Maths syllabus, you must meet the qualifying requirements outlined by the relevant universities to be eligible to take the CUET Exam in 2025. These requirements relate to your age and educational background.

Every university has a different set of CUET eligibility requirements for the field of mathematics. However, the expected fundamental qualifying requirements for each university are described here. 

• You should have successfully completed the 10+2 examination or its equivalent from a recognized educational board or university. 
• The stipulated minimum percentage requirement in the 12th-grade examinations varies across universities for candidates of all categories. 
• Certain conditions pertain to the subjects studied during the 12th grade, and these requirements are contingent on the chosen course and university. 
• Certain universities may also have age restrictions; these eligibility parameters can be found in the official university notification. 

Preparation Tips for CUET Maths Syllabus 2025 

Although mathematics is thought to receive excellent marks, some applicants may find it challenging. Studying for an exam can be confusing. 

As a result, we have compiled a list of study advice that can enable applicants to achieve higher mathematics scores on the CUET 2025 exam.

• Thoroughly review the CUET Maths syllabus pdf, carefully understanding all the topics. 
• Identify and list your strengths and weaknesses among the subject's various topics. 
• Devise a daily CUET study plan that allocates extra time to topics requiring more attention and focus. 
• Dedicate each day to mastering a specific topic, practising a variety of questions related to that topic. 
• Attempt questions with a time constraint. Competitive exams emphasize quick and accurate responses. 
• Analyze previous years' question papers based on the CUET Maths Syllabus, noting the diversity of questions and their varying difficulty levels. 
• Regularly engage in mock tests, ideally starting 3-4 in a month before the exam date.

Study Material for CUET Maths Syllabus 

Having reliable and widely used books for CUET exam preparation can enhance the likelihood of securing admission to your desired university program. You are advised to opt for dependable, reputable, and authentic study resources for the Maths CUET syllabus.

The following list presents recommended study materials to study the maths syllabus for CUET: 

Sr. No.	Name of the Book	Author	Publisher
1	Class 12th Mathematics NCERT	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

Key Takeaways

A solid comprehension of the CUET Maths Syllabus 2025 holds the key to accessing opportunities for admission to 280+ universities.

• Review university-specific eligibility criteria, including educational qualifications and age restrictions.
• By comprehending the CUET Maths domain syllabus, adopting effective preparation strategies, and utilizing endorsed study materials, you can prepare well. 
• Develop a well-structured preparation strategy with thorough syllabus coverage, strength identification, and regular practice.
• Choose reliable study resources like recommended textbooks and mock tests.
• Regularly take CUET Mock Tests to improve speed and efficiency.