CUET Maths Syllabus 2025: Explore Important Topics & Sections

Author : Akash Kumar Singh

Updated On : May 6, 2024

SHARE

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. 

CUET Maths Syllabus 2025

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. 

Check: CUET Chemistry Syllabus 2025

CUET 2025 Exam Pattern 

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 Maths Syllabus 2025 Overview 

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 

  • Marks per correct answer: +5 
  • Marks per the wrong answer: -1 
  • Marks per unanswered question: 0 

Read More: CUET Computer Science Syllabus 2025

CUET Mock Tests

CUET Mock Tests

CUET Maths 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:   

CUET Maths Syllabus 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 

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? 

CUET Maths Syllabus Section B 

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

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 

Check: List of Best CUET BBA Colleges In India 2025

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 

Check: CUET Engineering Colleges 2025

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 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 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 

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 

Check: CUET B.Tech College List 2025

UNIT V: INDEX NUMBERS AND TIME-BASED DATA 

A. Construction of index numbers 

  • Construct different types of index numbers 

B. Index Numbers 

  • Define Index numbers as a special type of average 

C. Test of Adequacy of Index Numbers 

  • Apply time reversal test 

UNIT VI: UNIT V: 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 Statistic 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 

Check: CUET Marking Scheme

UNIT VII: INDEX NUMBERS AND TIME-BASED DATA 

A. Distinguish between different components of time series 

  • Components of Time Series 

B. Time Series 

  • Identify time series as chronological data 

C. Time Series analysis for univariate data 

  • Solve practical problems based on statistical data and Interpret 

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 

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 

Check: CUET Physics Syllabus

CUET Online Coaching

CUET Online Coaching

CUET Maths Eligibility Criteria 2025 

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. 

  • Applicants 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 impose age restrictions, and these eligibility parameters can be found in the official university notification. 

Check: CUET Courses

Preparation Tips for CUET Maths Exam 2025 

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. 

  • Thoroughly review the CUET Maths syllabus, meticulously assessing all the topics that necessitate study. 
  • Identify and list your strengths and weaknesses among the subject's various topics. 
  • Devise a daily study plan that allocates extra time to topics requiring more attention and focus. 
  • Dedicate each day to mastering a specific topic, practicing 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, noting the diversity of questions and their varying levels of difficulty. 
  • Regularly engage in mock tests, ideally starting around 3-4 weeks before the exam date. 

Study Material for CUET 2025 Maths Exam  

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: 

Recommended Books for CUET Maths 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 

Class 12th Mathematics NCERT 

NCERT 

Higher Algebra 

Hall and Knight 

Arihant 

Differential Calculus for Beginners 

Joseph Edwards 

Arihant 

Integral Calculus for Beginners 

Joseph Edwards 

Arihant 

Mathematics for Class 12 (Set of 2 Volumes) 

RD Sharma 

Dhanpat Rai 

NCERT Exemplar Mathematics Class 12 

Ankesh Kumar Singh 

Arihant 

Mock Tests 

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:

  • Utilize the official CUET Maths Syllabus from the NTA website.
  • Understand that CUET is the key to various UG and PG programs in Central universities.
  • Review university-specific eligibility criteria, including educational qualifications and age restrictions.
  • 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 mock tests to improve speed and efficiency.
  • Mastery of CUET Maths Syllabus opens doors to Central universities, ensuring a promising academic journey.

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?

CUET Maths Syllabus 2025: Explore Important Topics & Sections

Author : Akash Kumar Singh

May 6, 2024

SHARE

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. 

CUET Maths Syllabus 2025

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. 

Check: CUET Chemistry Syllabus 2025

CUET 2025 Exam Pattern 

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 Maths Syllabus 2025 Overview 

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 

  • Marks per correct answer: +5 
  • Marks per the wrong answer: -1 
  • Marks per unanswered question: 0 

Read More: CUET Computer Science Syllabus 2025

CUET Mock Tests

CUET Mock Tests

CUET Maths 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:   

CUET Maths Syllabus 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 

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? 

CUET Maths Syllabus Section B 

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

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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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 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 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 

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 

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UNIT V: INDEX NUMBERS AND TIME-BASED DATA 

A. Construction of index numbers 

  • Construct different types of index numbers 

B. Index Numbers 

  • Define Index numbers as a special type of average 

C. Test of Adequacy of Index Numbers 

  • Apply time reversal test 

UNIT VI: UNIT V: 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 Statistic 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 

A. Distinguish between different components of time series 

  • Components of Time Series 

B. Time Series 

  • Identify time series as chronological data 

C. Time Series analysis for univariate data 

  • Solve practical problems based on statistical data and Interpret 

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 

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 

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CUET Maths Eligibility Criteria 2025 

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. 

  • Applicants 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 impose age restrictions, and these eligibility parameters can be found in the official university notification. 

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Preparation Tips for CUET Maths Exam 2025 

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. 

  • Thoroughly review the CUET Maths syllabus, meticulously assessing all the topics that necessitate study. 
  • Identify and list your strengths and weaknesses among the subject's various topics. 
  • Devise a daily study plan that allocates extra time to topics requiring more attention and focus. 
  • Dedicate each day to mastering a specific topic, practicing 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, noting the diversity of questions and their varying levels of difficulty. 
  • Regularly engage in mock tests, ideally starting around 3-4 weeks before the exam date. 

Study Material for CUET 2025 Maths Exam  

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: 

Recommended Books for CUET Maths 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 

Class 12th Mathematics NCERT 

NCERT 

Higher Algebra 

Hall and Knight 

Arihant 

Differential Calculus for Beginners 

Joseph Edwards 

Arihant 

Integral Calculus for Beginners 

Joseph Edwards 

Arihant 

Mathematics for Class 12 (Set of 2 Volumes) 

RD Sharma 

Dhanpat Rai 

NCERT Exemplar Mathematics Class 12 

Ankesh Kumar Singh 

Arihant 

Mock Tests 

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. 

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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:

  • Utilize the official CUET Maths Syllabus from the NTA website.
  • Understand that CUET is the key to various UG and PG programs in Central universities.
  • Review university-specific eligibility criteria, including educational qualifications and age restrictions.
  • 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 mock tests to improve speed and efficiency.
  • Mastery of CUET Maths Syllabus opens doors to Central universities, ensuring a promising academic journey.

Read more: How many universities can we select in CUET form 2025

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