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CUET Mathematics 2025 Question Paper Analysis: The Mathematics exam in CUET 2025 serves as a critical component for undergraduate admissions to central and participating universities across India. Conducted between May 13 and June 3, 2025, the Mathematics section is essential for aspirants targeting programs in Engineering, Data Science, Economics, B.Sc. Mathematics, Statistics, and other math-intensive fields.
The participating universities' official websites will be where to access the CUET merit list 2025. All qualified students need to understand that the CUET merit list differs by course and university. Aside from the exam results, the CUET 2025 merit list includes crucial details about the candidates, such as their name, program of choice, roll number, category, registration number, and qualifying status.
Although the exam has now been conducted, this article will be regularly updated with a comprehensive CUET 2025 Mathematics question paper analysis, detailing chapter-wise question distribution, conceptual importance, difficulty level of calculations, and comparisons with past years. Students should check back for memory-based questions, expert solutions, and valuable feedback to optimize their preparation strategies.
Understanding the exam pattern is crucial to streamline preparation and improve time efficiency. The CUET Mathematics section tests a candidate’s grasp over fundamental mathematical concepts, logical reasoning, and problem-solving ability. The detailed exam structure is provided below:
Aspects | Details |
Conducting Body | National Testing Agency (NTA) |
Sections | I- LanguageII- Domain SpecificIII- General Aptitude |
Type of Question | Multiple Choice Questions (MCQs) |
No. of Questions | 50 questions per section |
Duration | 60 minutes for each subject |
Marking Scheme | +5 marks for each correct answer for each incorrect answer.No marks for unattempted questions |
Maximum number of test papers | 5 test papers |
The paper was Moderate to Difficult level with diverse mathematical topics requiring strong conceptual understanding and problem-solving skills across multiple domains.
Calculus dominated through differentiation and integration questions, while Linear Programming featured constraint-based problems for finding maximum/minimum values and feasible regions.
Geometry and mensuration included cylinder problems and vector-based triangle area calculations, testing both 2D and 3D mathematical applications.
Probability questions appeared alongside Relations and Functions concepts, requiring theoretical knowledge and practical problem-solving abilities.
Matrix problems were added to the algebraic component, making the paper comprehensive across pure and applied mathematics topics.
Students with consistent practice in calculus, linear programming, and vector geometry would have found better scoring opportunities in this challenging paper.
Paper was difficult and lengthy, mainly the questions were from Calculus and Integration.
Question was asked from Application of Derivatives (AOD) – Increasing/Decreasing
Question was asked from Differential Equation
4–5 questions were asked from Linear Programming
Not much questions from Matrices and Determinants
Question was asked from Type of Relation
Question was asked from Application of Integration
Question was asked from Parabola
Question was asked from Dot and Cross Product
Overall paper level was Moderate
The paper was difficult level with Matrix and Determinants dominating through 10-12 questions, making it the most crucial topic for scoring in the exam.
Integration appeared with significant weightage of 7-8 questions, requiring strong calculus fundamentals and formula application skills.
Diverse topics included Probability matching questions, Vector problems, Differential Equations degree finding, and Cost Inverse calculations, testing comprehensive mathematical knowledge.
Applied mathematics featured Linear Programming questions while pure mathematics covered Relations & Functions types, balancing theoretical and practical problem-solving skills.
The paper required strong conceptual clarity and extensive practice in calculus and algebra for effective performance.
The paper had an easy level.
Question was asked on statement-based Matrices and Determinants (6–7 questions).
Question was asked on degree and order of Differential Equations (easy).
Question was asked from Continuity.
Question was asked from Maxima and Minima.
Question was asked on Rate and Measurement concepts.
Question was asked from Linear Differential Equation.
2 questions were asked from Conditional Probability.
Question was asked on Relations and Functions (1 question).
2 questions were asked from Inverse Trigonometric Functions (ITF).
3–4 questions were asked from Vectors and 3D Geometry.
3–4 questions were asked from Linear Programming Problems (LPP).
Question was asked on Angle between two lines – important for exam.
Moderate Difficulty
A ratio-based age problem was included in the paper.
A mensuration question involved calculating area or perimeter of a rectangle.
A cuboid-based geometry question was also present.
Compound and simple interest questions were asked and were of moderate level.
Two questions were asked from the Time and Work chapter.
Heights and Distances questions tested basic trigonometric applications.
A formula-based question came from mean, median, and mode.
Profit and loss included a discount-related question.
A basic probability question tested conceptual understanding.
A moderate level of questions was asked in this section
Mensuration featured cone-related problems, testing solid geometry concepts.
Number System included unit digit questions, requiring pattern recognition skills.
2 questions from Time and Work covered work efficiency and rate problems.
Probability questions tested basic probability concepts and applications.
1 question from Arithmetic Progression focused on sequence and series fundamentals.
1 question from Algebra required finding the value of the variable K.
Questions related to Equilateral Triangle properties and calculations.
Questions were based on NCERT concepts and covered a wide range of topics.
Percentage and ratio problems were simple and formula-driven.
Mensuration and geometry questions required the direct application of known formulas.
Number system questions involved basic arithmetic operations and logic.
Probability questions were simple and involved basic theoretical understanding.
Overall, the section was well-balanced and scored for students with basic preparation.
Most students found it to be the toughest subject among PCM.
Questions were lengthy and required accurate calculations.
Topics like Vectors, 3D Geometry, Calculus, and Probability were covered.
Less focus on case-study-based questions; more traditional question formats.
Time-consuming paper, making it difficult to attempt all questions.
Students suggested that solving speed was a crucial factor.
The Mathematics section was lengthy but composed of mostly easy questions.
Key topics included Public Law, Mensuration, Geometry, and Statistics, focusing on median.
Other important areas were Number System and Ratio.
Overall Difficulty Level: Easy to Moderate
Probability: 2 questions, standard level.
Linear Programming: 3 to 4 questions, graphical and objective-based.
Relations and Functions: Included a logic-based question on whether the relation a–b divisible by 6 is reflexive, symmetric, or transitive.
Vectors: Question on perpendicular vectors and the angle between two vectors.
Differential Equations: 1 question involving order and degree.
Differentiation: 1 easy-level question involving basic rules.
Integration: Very simple integral calculation; direct formula application.
Matrices:
One question on checking the equality of matrices.
Another skew-symmetric matrix was a repeat from an earlier shift.
Several questions were repeated from earlier shifts, with only changes in values.
The paper featured a question from Height and Distance requiring the application of trigonometry.
Geometry-based questions were easy, such as finding the area of a circle and the volume of a cone.
A matching-type question was asked on mensuration formulas.
Word problems included Time and Work, Profit and Loss, and Percentage.
No questions were asked about Ratio and Proportion in this shift.
One Algebra question and one Probability question were included.
Arithmetic Progression appeared with an easy, direct question.
A coordinate geometry question tested the section formula concept.
The Number System question involved factor identification.
A Triangle-based question focused on fundamental geometry concepts.
The mathematics paper ranged from moderate to tough in difficulty.
Calculus and Algebra were the most frequently asked topics.
Many questions were lengthy and time-consuming.
Coordinate Geometry and Vector Algebra posed difficulty for several students.
The paper included tricky, application-based problems.
Both theoretical and numerical types of questions were included.
Strong conceptual clarity was necessary to complete the paper on time.
Overall Level: Easy to Moderate
The paper was lengthy and required extensive calculations.
A question from Arithmetic Progression was included.
The simplification question was very easy.
Direct formula-based question on Mode = 3 × Median – 2 × Mean.
A question from Compound Interest was asked.
No questions from Profit and Loss.
Questions from the Percentage and Train topics were present.
Mensuration-based question on converting Cylinder volume to Sphere.
The height and Distance topic was included.
The algebra question was very easy.
A time and Work question was asked.
One question from Coordinate Geometry was relatively difficult compared to the others.
The level of the paper was moderate and considered lengthy, with nearly 20 questions.
Two questions were from Arithmetic Progression, focusing on mid-term calculation.
Questions on Simple and Compound Interest were conceptually difficult.
Questions from Profit and Loss and Simplification were relatively easy.
Additional topics included Average, Probability (card-based), and Coordinate Geometry (repeated for the third time).
Mensuration questions were based on cube geometry.
Mean, Median, and Mode were covered in a statistical question.
Questions from Boats and Trains tested concepts like total distance and relative speed.
One question each was asked from LCM and HCF.
Difficulty was mostly easy, with only a few questions rated moderate to difficult.
Around 17-18 questions in total, with 15-16 considered easy.
Each major chapter contributed at least one question, ensuring syllabus coverage.
Notable lengthy questions appeared in Permutations and Combinations.
Challenging problems included:
A coordinate geometry question requiring the calculation of coordinates based on equal distance.
An algebra question involving unique and new solutions, considered tricky.
Other key topics covered:
Simple Interest (2 questions)
Speed, Time & Distance problem related to early or late arrival.
Profit and Loss (2 questions)
Ratio and Proportion (1 question)
Time and Work (2 questions) and Efficiency (1 question)
Median, Triangle (exterior angle), and Height & Distance problems.
Arithmetic Progression and Mensuration questions, including one on cylinders and height ratio.
Probability (1 question).
The difficulty level was moderate to difficult, with complex problem-solving questions.
Important topics included Calculus, Matrices and Determinants, Probability, and Vectors.
Application-based questions required multi-step problem-solving.
Numerical problems were time-consuming but mostly NCERT-based.
Coordinate Geometry and Differential Equations had a fair number of questions.
Assertion-Reason questions tested logical thinking and concept application.
Time constraint was a challenge due to lengthy calculations.
The overall difficulty level was easy to moderate.
The paper was considered lengthy in terms of time required.
Questions were designed in a way where students had to solve the question first to find the answer, with options provided based on the final solution.
Around 40-45 questions were easy to attempt for well-prepared students.
A direct question involving the calculation of profit percentage was asked.
A question based on the application of the distance formula and the properties of triangles was included.
Several questions directly tested knowledge of standard formulas across topics.
A question was asked focusing on the properties of parallelograms, such as area or angles.
A practical problem where a wire was shaped into different figures, requiring the calculation of length or perimeter.
Definite and indefinite integration-based questions were also asked.
Matrix multiplication-related questions were also there.
A basic question asking for the perimeter of standard 2D shapes like rectangles, squares, or composite figures.
A typical question from time, speed, and distance involving two trains crossing or overtaking each other.
Another question from time and distance, possibly involving average speed or relative motion concepts.
A match-the-following type question based on formulas for the lateral surface area of 3D figures (cylinder, cone, sphere).
Questions tested the calculation of central tendency measures like mean, median, and mode.
A trigonometry-based problem involving heights and distances, probably requiring tan θ or sin θ.
A simple probability question based on finding favorable outcomes from the total possible outcomes.
A geometry-based question involving properties of circles and cyclic quadrilaterals (e.g., opposite angles summing to 180°).
4-5 match-the-following questions on volumes (cone, circle, square) using radius values and option elimination.
Profit and Loss included one easy and one lengthy, complex question.
Height and Distance, Percentage (Income & Expenditure), and Triangle (exterior angle) questions appeared; no Circle or Algebra questions.
One Boat and Stream question included.
The most difficult questions were from the Mean, Median, and Mode topics.
One question each from Coordinate Geometry (collinear points) and Probability formula.
The overall difficulty level of the Mathematics paper was moderate, mostly NCERT-based, making it manageable but requiring conceptual clarity and practice.
Integration-related questions focused on conceptual understanding rather than direct formula application, testing analytical skills.
Questions from symmetric matrices and matrix inverse identities were present, emphasizing basic properties and matrix operations.
Probability concepts, including Bayes' theorem, were tested through scenario-based questions, requiring logical application.
Geometry was tested with a perpendicularity concept-based question, checking understanding of vectors or coordinate geometry.
A question tested knowledge of one-to-one and onto functions, highlighting the importance of relations and functions in calculus.
Topics of dot product and vector product were included, assessing vector algebra applications in 3D geometry.
Variable separable differential equations were tested, ensuring practice with fundamental methods of solving ODEs.
Direction cosines appeared in two questions, including one focused on identities, indicating a focus on 3D geometry applications.
Inverse trigonometric functions were part of the paper, assessing familiarity with their properties and simplifications.
The application of integrals was significant, with around three questions, emphasizing real-life mathematical applications like area and volume.
Overall, the paper was described as lengthy and calculative, requiring both speed and accuracy in lengthy computations.
Algebra had questions on quadratic equations, polynomials, and factorization; moderate difficulty.
Coordinate Geometry tested concepts of straight lines, the distance formula, and the section formula.
Calculus questions included limits, differentiation, and application of derivatives; slightly tricky.
Probability and Statistics had basic level questions on mean, median, mode, and simple probability.
Matrices and Determinants were direct formula-based, manageable.
Vector Algebra and 3D Geometry were asked; moderate difficulty.
Time-consuming section for many, but with manageable difficulty overall.
Memory-based questions help students verify their answers and understand solution approaches in depth.
If the vertices of a triangle are A(x1,y1) A(x_1, y_1)A(x1,y1), B(x2,y2)B(x_2, y_2)B(x2,y2), and C(x3,y3)C(x_3, y_3)C(x3,y3), find the coordinates of the centroid of the triangle.
Post-exam analysis plays a vital role in identifying patterns, estimating cut-offs, and evaluating performance. Here’s why this analysis is critical:
Topic Relevance: Helps identify which chapters received the most focus in 2025.
Conceptual vs Formula-Based Balance: Understand whether questions emphasized rote memorization or deeper understanding.
Calculation Intensity: See which sections were more time-consuming due to heavy computation.
Difficulty Fluctuation: Compare paper toughness with CUET 2024 and earlier editions.
Time Management Insight: Understand which sections require strategic pacing to avoid time pressure.
Trend Forecasting: Assists future aspirants in predicting likely question patterns and difficulty levels.
NCERT books form the foundation, but for comprehensive preparation, it is recommended to supplement with additional practice from reference books and previous papers.
For calculation-heavy questions, identify shortcuts or alternative methods beforehand. To save time, practice mental math and approximation techniques.
Based on previous trends, calculus, algebra, and coordinate geometry tend to have higher weightage, but a balanced preparation covering all topics is advisable.
CUET Mathematics is generally on par with CBSE board exams, but requires faster problem-solving skills due to the time constraints.
Formulas are crucial. Create a comprehensive formula sheet organised by topics and revise it regularly to ensure quick recall during the exam.
Hello,
You cannot get admission to engineering courses in Delhi University (DU) through CUET scores .
DU offers engineering courses under its Faculty of Technology, and admissions to these courses are based on JEE Main scores, not CUET.
Hope it helps !
Hello,
Delhi University (DU) offers various engineering courses under its Department of Technology.
Admission to these courses is primarily based on the Joint Entrance Examination (JEE) Main scores. However, some courses may also consider CUET (Common University Entrance Test) scores for admission.
The exact number of seats filled through CUET scores can vary each year and are not publicly disclosed.
Hope it helps !
Admissions for CUET aren't solely based on 2 Non-Med Percentage along with JEE Mains percentile. The eligibility criteria for CUET require students to have scored at least 50% marks in their Class 12th exam for general candidates and 45% for reserved categories.
Additionally, CUET has its own exam pattern, which includes multiple-choice questions divided into three sections:
- Section 1: Language proficiency(English/Hindi/regional languages)
- Section 2: Domain-specific subjects
- Section 3: General Aptitude
It's also important to note that while JEE Mains is a separate entrance exam, some universities may consider both CUET and JEE Mains scores for admission to certain programs. However, the specific admission criteria may vary depending on the university and course.
To confirm the admission criteria for your desired course, I recommend checking the official websites of the participating universities or contacting them directly.
Yes, if the CUET UG application form does not ask for the 10th marksheet upload and only requires a photograph and signature, your application should still be considered valid. Since you are currently appearing for the 12th exams, the system may not require additional documents at this stage. However, double-check the official guidelines or contact CUET support to confirm.
A PG (Postgraduate) degree in Forensic Science, specifically an M.Sc. in Forensic Science, is a two-year program that provides specialized knowledge and skills in the scientific analysis and application of techniques for collecting and analyzing evidence to solve crimes.
You can refer to following link for the paper
CUET forensic science question paper
GOOD luck!!
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