NTA is likely to conduct CUET 2025 exams in the third week of May '25 in Computer Based Test Mode. Candidates preparing for the CUET Mathematics/ Applied Mathematics exam must check this article to learn about the CUET 2025 Mathematics Syllabus, exam pattern, important topics, previous years' question papers, and books to prepare from in detail.
CUET 2024 Mathematics Syllabus
CUET 2025 Mathematics Syllabus: The National Testing Agency (NTA) conducts the Common University Entrance Test (CUET), once a year for admission to undergraduate courses at various universities/colleges across India. Candidates preparing for courses that include CUET Mathematics/Applied Mathematics as one of the mapped domain subjects must know the CUET UG 2025 Syllabus in detail. NTA releases CUET Mathematics Syllabus 2025 on its official website - exam.nta.ac.in/CUET-UG/. According to the CUET 2025 exam pattern, Mathematics/Applied Mathematics is one of the 23 CUET domain subjects, and the question paper includes 50 questions. The candidates are required to attempt all questions within 60 minutes in CBT mode. Read this article to get the direct link to download the CUET Mathematics Syllabus PDF.
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Candidates preparing for the CUET exam can check the detailed CUET 2025 Syllabus for Mathematics/Applied Mathematics from the table given below:
Section A
| Units | |
|---|---|
| Unit I: Algebra
|
Unit IV: Differential Equations
|
| Unit II: Calculus
|
Unit V: Probability Distributions
|
| Unit III: Integration and its Applications
|
Unit VI: Linear Programming
|
Section B1
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
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-zeromatrices 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).
Determinants:
- Determinant of a square matrix (upto3×3matrices), 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
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.
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.
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 following type to be evaluated:
Integrals
- Definite integrals as a limit of a sum.
- Fundamental Theorem of Calculus(without proof).
- Basic properties of definite integrals and evaluation of definite integrals.
Applications of the Integrals:
- Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/ellipses(in standard form only), and area between the two above said curves(the region should be clearly identifiable).
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 –
Differential Equations
Unit IV: Vectors And Three Dimensional Geometry
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.
Three-dimensional Geometry:
- Direction cosines/ratios of a line joining two points.
- Cartesian and vector equation of a line, co-planar and skew lines, the shortest distance between two lines.
- Cartesian and vector equation of a plane.
- The angle between two lines, two planes, and 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 problems, mathematical formulation of LPP, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (upto three non-trivial constraints).
Unit VI: Probability
- Multiplications theorem on probability.
- Conditional probability, independent events, total probability, Baye’stheorem.
- Random variable and its probability distribution, mean and variance of haphazard variable.
- Repeated independent (Bernoulli) trials and Binomial Distribution.
Q: How many CUET exam centres can I choose?
Candidates can choose upto two exam cities of their choice while filling the CUET application form. NTA will make the best efforts to allot the city of examination to the candidates in the order of preference opted by them in their CUET 2025 application form. However, due to administrative/logistic reasons, a different city can be allotted to the candidates. Choice of CUET 2025 centre city will be limited to the State of Permanent Address or State of Present Address only. In case, there are very few candidates from a particular CUET exam centre city, the NTA reserves the right to merge one, two, or more cities.
Candidates will have the oppurtunity to choose the exam city while filling the CUET application form 2025. Candidates must carefully choose the exam cities. No request for change in exam centre will be entertained once the admit cards are issued.
Q: Are NCERT books enough to cover CUET syllabus?
Since the CUET syllabus is in line with the Class 12 Board exam syllabus, it can be safely assumed that the NCERT books are enough to cover the syllabus of the exam. Candidates must note that, CUET exam tests students' understanding of the concepts and ability to apply them in various situations.
Therefore, to prepare well and get a good score, it is advised that students refer to other study materials and books designed for national level competitive entrance exams. The CUET UG syllabus is in tune with the Class 12 Board exam syllabus. The chapters and topics are similar to Class 12 syllabus. Unlike other UG entrance exams, CUET UG syllabus does not include Class 11 syllabus.
Q: is it enough to learn from NCERT textbooks to clear CUET?
Since the CUET UG 2025 syllabus is in line with the Class 12 Board exam syllabus, it can be safely assumed that the NCERT books are enough to clear CUET UG 2025 exam. Candidates must note that, CUET exam tests students' understanding of the concepts and ability to apply them in various situations. Therefore, to prepare well and get a good score, it is advised that students refer to other study materials and books designed for national level competitive entrance exams. The CUET UG syllabus is in tune with the Class 12 Board exam syllabus. The chapters and topics are similar to Class 12 syllabus. Unlike other UG entrance exams, CUET UG syllabus does not include Class 11 syllabus.
Also Read: CUET Maths Important Topics & Chapter Wise Weightage
Section B2: Applied Mathematics
Unit I: Numbers, Quantification and Numerical Applications
Modulo Arithmetic
- Define Modulus of an Integer
- Apply Arithmetic Operations using Modular Arithmetic Rules
Congruence Modulo
- Define Congruence Modulo
- Apply the definition in various problems
C. 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 allegation
D. Numerical Problems
- Solve real life problems mathematically
Boats and Streams
- Distinguish between upstream and downstream
- Express the problem in the form of an equation
Pipes and Cisterns
- Determine the time taken by two or more pipes to fill or
Races and Games
- Compare the performance of two players w.r.t. time,
- Distance taken/distance covered/ Work done from the given data
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 with due consideration of the time volume/surface area for solid formed using two or more shapes.
Numerical Inequalities
- Describe the basic concepts of numerical inequalities
- Understand and write numerical inequalities
UNIT II: Algebra
Matrices and types of matrices
- Define matrix
- Identify different kinds of matrices
Equality of matrices, Transpose of a matrix, Symmetric and Skew symmetric matrix
- Determine equality of two matrices
- Write transpose of given matrix
- Define symmetric and skew symmetric matrix
UNIT III: Calculus
Higher Order Derivatives
- Determine second and higher-order derivatives
- Understand the differentiation of parametric functions and implicit functions Identify dependent and independent variables
Marginal Cost and Marginal Revenue using derivatives
- Define marginal cost and marginal revenue
- Find marginal cost and marginal revenue
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 And Distributions
Probability Distribution
- Understand the concept of Random Variables and its Probability Distributions
- Find probability distribution of discrete random variable
Mathematical Expectation
- Apply arithmetic mean of frequency distribution to find the expected value of a random variable
Variance
Calculate the Variance and S.D. of a random variable
UNIT V: Index Numbers And Time Based Data
Index Numbers
- Define Index numbers as a special type of average
Construction of index numbers
- Construct different type of index numbers
Test of Adequacy of Index Numbers
- Apply the time reversal test
UNIT VI: Index Numbers And Time Based Data
Population and Sample
- Define Population and Sample
- Differentiate between population and sample
- Define a representative sample from a population
Parameter and Statistics and Statistical Interferences
- Define the Parameter with reference to the Population
- Define Statistics with reference to Sample
- Explain the relation between parameter and Statistic
- Explain the limitation of Statisticto 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
UNIT VII: Index Numbers And Time-Based Data
Time Series
- Identify time series as chronological data
Components of Time Series
- Distinguish between different components of time series
Time Series analysis for univariate data
- Solve practical problems based on statistical data and Interpret
UNIT VIII: Financial Mathematics
Perpetuity, Sinking Funds
- Explain the concept of perpetuity and sinking fund
- Calculate perpetuity
- Differentiate between sinking fund and saving account
Valuation of Bonds
- Define the concept of valuation of bond and related terms
- Calculate value of bond using present value approach
Calculation of EMI
- Explain the concept of EMI
- Calculate EMI using various methods
Linear Method of Depreciation
- Define the concept of linear method of Depreciation
- Interpret cost, residual value and useful life of an asset from the given information
- Calculate depreciation
UNIT IX: Linear Programming
Introduction and related terminology
- Familiarize with terms related to Linear Programming Problem
Mathematical formulation of Linear Programming Problem
- Formulate Linear Programming Problem
Different types of Linear Programming Problems
- Identify and formulate different types of LPP
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.
Also Read:
- CUET Syllabus 2025 for Commerce Students
- CUET Syllabus 2025 for Arts Students
- CUET Syllabus 2025 for Science Students
CUET Mathematics/Applied Mathematics Syllabus PDF Download
Refer to the link below to download the CUET Mathematics/Applied Mathematics Syllabus PDF.
CUET Mathematics Syllabus PDF Link
Download: CUET Mathematics Question Paper
Also Check: Ncert Solutions Maths class 12th
CUET 2025 Mathematics Exam Pattern: Revised
Candidates can understand the CUET 2025 exam pattern for Mathematics from the table given below:
| Particulars |
Details |
|---|---|
| CUET Exam Conduction Body |
National Testing Agency |
| Mode of the examination |
Computer-based test mode |
| Language of exam |
13 languages - English, Hindi, Assamese, Bengali, Gujarati, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil, Telugu, and Urdu |
| Type of questions |
Multiple Choice Questions (MCQs) |
| Total number of Questions |
50 questions (all compulsory) |
| Duration of Exam |
60 minutes |
| Maximum Marks |
250 |
| Negative marking |
Yes |
| Marking Scheme |
+5 for each correct answer -1 for each incorrect answer |
| CUET Mathematics Mapping for Courses |
B.Sc. Mathematics |
For better mapping of subjects, candidates must read Stream-wise Best UG Courses for Engineering, Science, Commerce, Arts.
Also Read:
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Download CUET Section/Domain Wise Syllabus and Question Paper
Candidates preparing for CUET can download the CUET UG Syllabus and CUET UG Question Papers for the subjects mentioned in the table below:
Also Read: CUET Previous Years' Question Papers
Best Books for CUET Mathematics Preparation
NTA has already suggested NCERT books for different subjects of the CUET 2024 examination. NCERT books ideally are used for the preparation of CUET exam because they are exclusive of all the possible topics that might be asked in the CUET 2025 examination. The list of appropriate books including NCERT books as well as other types of books and/or materials has been given below:
- NCERT Class 12 Mathematics Textbook
- A Text Book of Mathematics Class 12 by Pradeep
- Mathematics for Competitive Exams by R.S. Aggarwal
- CUET Mathematics by Arihant Experts
- CUET 2025 Guide for Mathematics by Oswaal
- CUET Applied Mathematics by GKP
Read More:
- Advantages and Disadvantages of taking CUET 2025 exam
- What is the right time to begin CUET 2025 preparation?
- Strategy to Manage CUET Exam Preparation along with Boards
- CUET Preparation Books 2025: Subject-wise Best Books, Study Materials & Preparation Tips
FAQs on CUET Mathematics Syllabus
Q. Where can I get CUET Mathematics Syllabus?
Ans. You can download the CUET Mathematics Syllabus from the official National Testing Agency (NTA) website - exams.nta.ac.in/CUET-UG/. Additionally, many university websites also provide downloadable versions of the CUET syllabus for all subjects, including Mathematics. You can also check Shiksha articles for the CUET Mathematics Syllabus PDF link.
Q. What is the exam pattern for CUET Mathematics?
Ans. UGC has recently revised the CUET UG exam pattern 2025. According to the exam pattern, the CUET Mathematics exam will include 50 questions and candidates will have to attempt all questions within 60 minutes. Candidates will gain 5 marks for each correct answer and lose 1 mark for every wrong answer.
Q. What is the difficulty level of CUET Mathematics Exam?
Ans. The difficulty level of the CUET Mathematics exam typically ranges from moderate to high. The questions are designed to test students’ conceptual understanding and problem-solving abilities, based on the 12th-grade syllabus. Some questions may be straightforward, while others might require deeper analytical thinking, especially in topics like Calculus and Algebra. The level of difficulty can vary depending on individual preparation and familiarity with the topics. Practicing mock tests and previous year papers helps in understanding the level of difficulty better.
Q. Can I use a calculator during the CUET Mathematics exam?
Ans. No, calculators are not allowed during the CUET Mathematics exam. The exam must be completed without any external aids, such as calculators, to ensure fairness and to test the candidates' problem-solving skills within the given time frame.
Q. How can I prepare for the Mathematics section?
Ans. To prepare for the Mathematics section of CUET, follow these tips:
- Understand the Syllabus: Begin by thoroughly reviewing the CUET syllabus. Focus on key topics like Algebra, Calculus, Geometry, and Probability.
- NCERT Books: NCERT textbooks are essential as they form the foundation for most questions. Ensure you're familiar with every concept.
- Practice Previous Year Papers: Solve past CUET papers to understand the exam pattern and question style.
- Take Mock Tests: Regularly attempt online mock tests to gauge your preparation level and improve time management.
- Clear Concepts: Focus on clearing fundamental concepts. Avoid rote learning and focus on applying formulas.
- Revise Regularly: Ensure consistent revision, especially for complex topics.
- Seek Guidance: If necessary, consider seeking help from tutors or online resources to strengthen weak areas.
Q. Is CUET Mathematics compulsory for all courses?
Ans. No, CUET Mathematics is not compulsory for all courses. The requirement to take Mathematics as a subject depends on the specific program a candidate is applying for. For courses that emphasize quantitative skills, such as B.Sc. in Mathematics, Engineering, or Economics, Mathematics may be mandatory. However, other courses, particularly those in the arts or social sciences, may not require it. Candidates should check the specific admission criteria for their desired program.
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Anything you would want to ask experts?Answered 13 hours ago
The Common University Entrance Test, or CUET, is not a direct route to admission to a B.Tech program. The main purpose of CUET is to facilitate undergraduate admissions to central university programs in the arts, commerce, humanities, and social sciences. B.Tech (engineering) courses are not covered
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Yes, DIT University offers scholarship to DITU BA aspirants applying with a valid CUET score. The candidates who appeared for CUET-UG are awarded based on score/percentage at the time of admission. Additionally, the scholarship is applicable on the tuition fee only. Students can get in touch with th
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Check out this link to know the syllabus of CUET for UG :- https://www.shiksha.com/science/cuet-exam-syllabus
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Hi Rupasri! It's great that you're planning to pursue a B.Tech at Pondicherry Central University and are preparing for the CUET exam. For a B.Tech course, you'll typically need to focus on subjects relevant to engineering. Based on your MPC (Mathematics, Physics, Chemistry) background, here's what y
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Many government colleges in India offer Master's in Psychology. A few of them are University of Delhi, Banaras Hindu University, Jamia Millia Islamia, and the University of Hyderabad. Admission would be on the basis of your academic record, scores of entrance exams like the Common University Entranc
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The Common University Entrance Test or CUET is an undergraduate entrance examination for admissions into various central universities in the country. You can gain admission to a variety of courses with CUET including B.A., B.Sc., B.Com, BBA, among others.
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Yes, you can still take psychology for the CUET exam even if you didn't take it in class 12th. The CUET allows students to choose subjects that were not necessarily part of their class 12 syllabus. As long as you meet the general eligibility criteria, such as having passed your class 12 or equivalen
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For undergraduate programs, the CUET exam fee is INR 600 for one and INR 800 for two or more programs. For PG the fee is INR 1000 for one programme and INR 1200 for two or more programs.
While the ICAR PG exam fee is INR 1200 for general candidates. And ICAR UG exam fee is INR 1000 for general candid
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The cutoff lists released by Miranda House have the following details:
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National Testing Agency (NTA) will announce the CUET 2025 exam date anytime soon at nta.ac.in. It is expected that CUET UG 2025 exam will be held in May/June. The exam will be conducted in multiple slots each day. The number of CUET exam slots will depend upon the number of candidates registered for
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Can I get admission to B.Tech course through CUET exam?