CUET Mathematics 2025 Question Paper with Solutions - Steps to Download PDFs

CUET Mathematics 2025 Question Paper with Solutions: The Common University Entrance Test (CUET) for undergraduate programs is held by the National Testing Agency (NTA), which leads to top Central Universities and other participating institutions across India. Mathematics is a crucial domain-specific subject for aspirants aiming for undergraduate courses in engineering, economics, computer science, and other quantitative fields. With CUET 2025, which was scheduled between May 13 and concluded on June 3, 2025, this article offers a complete overview of the CUET Mathematics 2025 Question Paper, CUET Mathematics 2025 syllabus, exam pattern, expert-curated solutions , and more to aid aspirants in their preparation and performance analysis are provided in the article.

This Story also Contains

1. CUET 2025 Mathematics Exam Pattern
2. CUET Mathematics 2025 Syllabus (As per NCERT)
3. CUET 2025 Mathematics Question Paper PDF
4. CUET Mathematics 2025 Memory-Based Questions
5. CUET Mathematics 2025 Question Paper Analysis
6. CUET 2024 Mathematics Chapter-Wise Weightage
7. Previous Year CUET Mathematics Papers with Solutions
8. CUET Mathematics 2025 Mock Test

CUET 2025 Mathematics Exam Pattern

Understanding the CUET 2025 Mathematics exam pattern is essential to plan your attempt strategy effectively. The question paper will feature topics like Algebra, Calculus, Trigonometry, Statistics, and Geometry.

CUET Mathematics 2025 Syllabus (As per NCERT)

The CUET Mathematics paper follows the NCERT Class 12 syllabus. Students must focus on conceptual clarity and application-based practice in the following topics:

• Algebra: Matrices, Determinants, Complex Numbers

• Calculus: Limits, Derivatives, Integrals, Applications

• Geometry: Coordinate Geometry, 3D Geometry, Vectors

• Probability and Statistics: Probability, Distribution, Mean, Variance

• Linear Programming and Relations

CUET 2025 Mathematics Question Paper PDF

The CUET 2025 Mathematics question paper will be released after the exam concludes. The PDF will be available for download to help students analyse the question pattern, difficulty level, and types of questions asked.

CUET Mathematics 2025 Memory-Based Questions

Memory-based questions help students verify their answers and understand solution approaches in depth.

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2. 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.

CUET Mathematics 2025 Question Paper Analysis

CUET 2025 Mathematics - 13th May (Shift 1) Analysis

• The overall difficulty level of the CUET 2025 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, emphasising 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 and vector products 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, emphasising 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.

CUET 2025 Mathematics - 13th May (Shift 2) Analysis

• Algebra had questions on quadratic equations, polynomials, and factorisation; moderate difficulty.

• Coordinate Geometry tested concepts of straight lines, distance, and section formulas.

• Calculus questions included limits, differentiation, and application of derivatives; slightly tricky.

• Statistics and Probability had basic questions on mean, median, mode, and simple probability.

• Matrices and Determinants were direct formula-based and manageable.

• Vector Algebra and 3D Geometry were asked; moderate difficulty.

• Time-consuming section for many, but with manageable difficulty overall.

CUET 2025 Mathematics -14th May (Shift 1) Analysis

• A direct question involving the calculation of profit percentage was asked.

• A question based on applying the distance formula and 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.

• The practical problem involved forming a wire 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 fundamental question asking for the perimeter of standard 2D shapes like rectangles, squares, or composite figures.

• A typical question involves 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 were tested to calculate 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 favourable outcomes from the total possible outcomes.

• A geometry-based question involving properties of circles and cyclic quadrilaterals (e.g., opposite angles summing to 180°).

CUET 2025 Mathematics — 14th May (Shift 2)

• 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.

CUET 2025 Mathematics -15th May (Shift 2) Analysis

• According to the analysis, the overall difficulty level of the CUET Mathematics Exam was easy to moderate.

• The paper was considered lengthy in terms of time required.

• The questions were designed so that students had to solve them first to find the answer, with options provided based on the final solution.

• Around 40-45 questions were easy for well-prepared students to attempt.

CUET 2025 Mathematics — 16 May (Shift 1) Analysis

• Difficulty was mostly easy, with only a few questions rated moderate to difficult.

• Around 17-18 questions, 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:

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  • A coordinate geometry question requiring the calculation of coordinates based on equal distance.

  • An algebra question involving unique and new solutions is considered tricky.

• Other key topics covered:

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  • 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).

CUET 2025 Mathematics — 16th May (Shift 2) Analysis

• 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.

CUET 2025 Mathematics – 19 May (Shift 1) Analysis

Overall Level: Easy to Moderate

• Paper was lengthy and required extensive calculations.

• Question from Arithmetic Progression was included.

• Simplification question was very easy.

• Direct formula-based question on Mode = 3 × Median – 2 × Mean.

• Question from Compound Interest was asked.

• No questions from Profit and Loss.

• Questions from Percentage and Train topics were present.

• Mensuration-based question on converting Cylinder volume to Sphere.

• Height and Distance topic was included.

• Algebra question was very easy.

• Time and Work question was asked.

One question from Coordinate Geometry, which was relatively difficult compared to others.

CUET 2025 Mathematics – 19 May (Shift 2) Analysis

• 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 (cards-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.

CUET 2025 Mathematics– 20 May (Shift 1) Analysis

• The paper featured a question from Height and Distance requiring 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 from 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.

CUET 2025 Mathematics - 20 May (Shift 2) Analysis

• 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.

CUET 2025 Mathematics — 21 May (Shift 1) Analysis

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 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 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.

CUET 2025 Mathematics- 22 May (Shift 1) Analysis

• 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 solving speed was a crucial factor.

CUET 2025 Mathematics - 22 May (Shift 2) Analysis

• 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.

CUET 2025 Mathematics - 23 May (Shift 1) Analysis

• 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 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 scoring for students with basic preparation.

Mathematics CUET 2025 - 27th May (Shift 1) Analysis

• Moderate level of questions were 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 variable K.

• Questions related to Equilateral Triangle properties and calculations.

CUET 2025 Mathematics – 29th May (Shift 1) Analysis

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.

CUET 2025 Mathematics – 29th May (Shift 2) Analysis

• 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.

CUET 2025 Mathematics Analysis 30th May (Shift 1)

• 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.

CUET 2025 Mathematics Analysis 30th May (Shift 2)

• 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

CUET 2025 Mathematics Analysis 2nd June (Shift 1 )

• 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.

CUET 2024 Mathematics Chapter-Wise Weightage

Understanding the previous year's chapter-wise weightage can help students prioritise key areas. Here's a quick look at the CUET 2024 analysis:

Previous Year CUET Mathematics Papers with Solutions

Solving CUET Mathematics question papers with solutions from the previous year is an effective strategy to enhance your exam preparation. Mathematics Question papers offer valuable insights into the exam pattern, mark distribution, and frequently asked topics, helping you prepare more strategically

CUET Mathematics 2025 Mock Test

CUET Mathematics 2025 Mock Tests are highly beneficial for students preparing for the exam. These tests help candidates enhance their time management skills, boost confidence, and identify key areas that need improvement.

Mock tests provide a realistic practice experience by allowing students to attempt them in the exam environment. This enables students to assess their strengths and address their weaknesses effectively.