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U Like CBSE Chapterwise Question Bank Mathematics for Class 12th

by Madhurima
₹693 ₹693.00(-/ off)

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23 Customer Review

U-Like CBSE Chapterwise Question Bank Mathematics for Class 12th is your ultimate guide for acing the 2025 board exams. Published by Best Book Publishing House, this comprehensive book is strictly aligned with the latest CBSE syllabus and NCERT curriculum. It features solved CBSE 2025 board papers, the latest sample paper, and extensive chapter-wise practice questions, including VSA, SA, LA, and previous years' questions. This resource is designed to enhance problem-solving skills, build conceptual clarity, and boost exam confidence. Ideal for thorough revision and strategic practice, it is a must-have for every Class 12 student aiming for top marks.

Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Does this U-Like question bank include solutions for the 2025 CBSE board exam papers?
    A1

    Yes, it includes fully solved papers for all three sets of the CBSE Class 12 Mathematics board exam 2025 (Codes: 65/1/1, 65/2/1, 65/6/1).

  • Q2
    Is the book updated for the 2025-26 academic session and based on the latest CBSE curriculum?
    A2

    Absolutely. The book is meticulously updated for the 2025 board exams and is strictly based on the latest CBSE syllabus and NCERT textbooks.

  • Q3
    How does the chapter-wise section help in understanding difficult topics like Calculus and Probability?
    A3

    The chapter-wise section breaks down complex topics into a variety of questions (VSA, SA, LA), includes step-by-step solutions, and provides self-assessment tests to build understanding progressively.

  • Q4
    Can this book be used as the sole resource for scoring well in the board exam?
    A4

    While it is an extremely comprehensive resource, we recommend using it alongside your NCERT textbook for building initial concepts. This question bank is ideal for extensive practice and revision, making it a primary practice resource.

  • Q5
    Does it cover both Volume 1 and Volume 2 of the NCERT Class 12 Maths syllabus?
    A5

    Yes, the book provides complete coverage of all 13 chapters from the entire NCERT syllabus, which includes topics from both Part 1 and Part 2.

  • Q6
    Is this book suitable for students who are weak in Mathematics and need basic practice?
    A6

    Yes, the structured approach, starting from simpler questions and progressing to complex ones, makes it suitable for students of all proficiency levels to build their skills gradually.

  • Q7
    Does the Linear Programming chapter include graphical method solutions?
    A7

    Yes, the chapter on Linear Programming covers the graphical method of solution for problems in two variables in detail, as per the CBSE syllabus.

  • Q8
    How is this U-Like book different from other question banks in the market?
    A8

    Its key differentiators are the inclusion of actual solved 2025 board papers, strict adherence to the latest CBSE syllabus, a wide variety of questions, and a logical chapter-wise structure focused on exam-specific preparation.

  • Q9
    Is the book useful for competitive exams like JEE Main or NEET alongside board prep?
    A9

    This book is specifically designed for the CBSE Class 12 Board Exam syllabus. While it strengthens your fundamental concepts, students aiming for JEE Main or NEET should refer to books specifically designed for those entrance exams.

  • Q10
    Are the solutions provided detailed and easy to understand?
    A10

    Yes, the solutions are written in a step-by-step manner, following CBSE marking schemes, to ensure they are easy to follow and help students understand the method to secure full marks.

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PART - A

1. CBSE Examination Paper 2025 (Code: 65/1/1)
2. CBSE Examination Paper 2025 (Code: 65/2/1)
3. CBSE Examination Paper 2025 (Code: 65/6/1)
4. CBSE Sample Question Paper 2025

PART - B

1. Relations and Functions
2. Inverse Trigonometric Functions
3. Matrices
4. Determinants
5. Continuity and Differentiability
6. Application of Derivatives
7. Integrals
8. Application of Integrals
9. Differential Equations
10. Vector Algebra
11. Three-Dimensional Geometry
12. Linear Programming
13. Probability

CBSE SYLLABUS NCERT CLASS 12TH PART 1


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, and 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 are 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 the inverse, if it exists (here all matrices will have real entries).

2. Determinants (Period 20)
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 a system of linear equations by examples: Solving a system of linear equations in two or three variables (having a unique solution) using the 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 and logarithmic functions.
Derivatives of loge 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).



CBSE SYLLABUS NCERT CLASS 12TH PART 2


7. Integrals
Integration as the inverse process of differentiation. Integration of a variety of functions by substitution
by partial fractions and by parts, Definite integrals as a limit of a sum. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

8. Applications of the Integrals
Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/ellipses (in standard form only), and the area between the two above-said curves (the region should be clearly identifiable).

9. Differential Equations
Definition, order and degree, and 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.

10. 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, addition of vectors, multiplication of a vector by a scalar, and 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.

11. Three-Dimensional Geometry
Direction cosines/ratios of a line joining two points. Cartesian and vector equations of a line, coplanar and skew lines, and the shortest distance between two lines. Cartesian and vector equations of a plane. Angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.

12. Linear Programming
Introduction to related terminology such as constraints, objective function, optimization, and 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).

13. Probability
Multiplication theorem on probability. Conditional probability, independent events, total probability, Bayes’s theorem. Random variable and its probability distribution, mean, and variance of haphazard variable. Repeated independent (Bernoulli) trials and binomial distribution.

U-Like CBSE Chapterwise Question Bank Mathematics for Class 12th | Master the 2025 Board Exam with Strategic Practice

Ace your CBSE Class 12 Mathematics board examination with the most comprehensive and strategically designed question bank available in the market. The U-Like CBSE Chapterwise Question Bank Mathematics for Class 12th, published by Best Book Publishing House, is an indispensable resource meticulously crafted to empower students with confidence, conceptual clarity, and extensive practice. This book is specifically aligned with the latest CBSE syllabus and NCERT curriculum, ensuring you focus your efforts precisely on what matters for the final exam.

This question bank is systematically divided into two parts to provide a holistic preparation strategy, covering both the blueprint of the actual exam and an in-depth chapter-wise analysis.

PART A: Exam Familiarity & Strategic Preparation

Gain a critical advantage by understanding the exam pattern, marking scheme, and the types of questions asked by CBSE. This section is your key to mastering exam temperament.

- CBSE Examination Papers 2025 (Solved): Includes solved papers from all three sets (Code: 65/1/1, 65/2/1, 65/6/1). Analyzing these papers helps you understand the distribution of questions across different topics and the varying difficulty levels.
- CBSE Sample Question Paper 2025 (Solved): Start your preparation by solving the official CBSE sample paper to get a clear idea of the expected question format and the latest typologies introduced by the board for the academic year.

PART B: In-Depth Chapterwise Practice & Concept Reinforcement

This is the core of the book, designed to build your foundation from the ground up. Each chapter is structured to facilitate progressive learning.
- Strictly Based on NCERT Syllabus: All content, from solved examples to practice questions, is strictly confined to the CBSE NCERT syllabus for Class 12 Mathematics, ensuring efficient and focused study without any irrelevant topics.
- Comprehensive Coverage: Every single chapter from the syllabus is covered in detail, including Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Calculus (Continuity, Differentiability, Applications of Derivatives, Integrals, Applications of Integrals, Differential Equations), Vectors, Three-Dimensional Geometry, Linear Programming, and Probability.
- Variety of Questions: Each chapter is packed with a wide array of questions, including Very Short Answer Type (VSA), Short Answer Type (SA), and Long Answer Type (LA) questions. This variety ensures you are prepared for every kind of question that can appear in the board exam.
- Previous Years' Questions (PYQs): Integrate past trends with current preparation by practicing carefully selected and categorized previous years' CBSE board questions. This helps in identifying frequently asked concepts and important topics.
- Self-Assessment Tests: Periodic tests within chapters allow you to evaluate your understanding and identify areas that require more attention, enabling a continuous feedback loop in your study process.

Key Features and Benefits:

1. Enhances Problem-Solving Speed: Ample practice material helps in improving calculation speed and accuracy, which is crucial for completing the 3-hour paper on time.
2. Builds Conceptual Clarity: Detailed solutions for all problems, including the solved board papers, help in understanding the step-by-step approach required to secure full marks.
3. Ideal for Revision: The chapter-wise format makes this book an excellent tool for last-minute revisions, allowing you to quickly brush up on formulas and key problem-solving methods.
4. Boosts Confidence: Thorough practice with this question bank reduces exam anxiety and builds the self-assurance needed to tackle the mathematics paper with a calm and focused mind.

The U-Like CBSE Chapterwise Question Bank for Mathematics Class 12 is more than just a book; it is a complete success package. It is the perfect companion for students aiming to achieve a perfect score of 100 out of 100. Invest in your success and make this your primary resource for CBSE Class 12 Mathematics board exam preparation.

PART - A

1. CBSE Examination Paper 2025 (Code: 65/1/1)
2. CBSE Examination Paper 2025 (Code: 65/2/1)
3. CBSE Examination Paper 2025 (Code: 65/6/1)
4. CBSE Sample Question Paper 2025

PART - B

1. Relations and Functions
2. Inverse Trigonometric Functions
3. Matrices
4. Determinants
5. Continuity and Differentiability
6. Application of Derivatives
7. Integrals
8. Application of Integrals
9. Differential Equations
10. Vector Algebra
11. Three-Dimensional Geometry
12. Linear Programming
13. Probability

Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Does this U-Like question bank include solutions for the 2025 CBSE board exam papers?
    A1

    Yes, it includes fully solved papers for all three sets of the CBSE Class 12 Mathematics board exam 2025 (Codes: 65/1/1, 65/2/1, 65/6/1).

  • Q2
    Is the book updated for the 2025-26 academic session and based on the latest CBSE curriculum?
    A2

    Absolutely. The book is meticulously updated for the 2025 board exams and is strictly based on the latest CBSE syllabus and NCERT textbooks.

  • Q3
    How does the chapter-wise section help in understanding difficult topics like Calculus and Probability?
    A3

    The chapter-wise section breaks down complex topics into a variety of questions (VSA, SA, LA), includes step-by-step solutions, and provides self-assessment tests to build understanding progressively.

  • Q4
    Can this book be used as the sole resource for scoring well in the board exam?
    A4

    While it is an extremely comprehensive resource, we recommend using it alongside your NCERT textbook for building initial concepts. This question bank is ideal for extensive practice and revision, making it a primary practice resource.

  • Q5
    Does it cover both Volume 1 and Volume 2 of the NCERT Class 12 Maths syllabus?
    A5

    Yes, the book provides complete coverage of all 13 chapters from the entire NCERT syllabus, which includes topics from both Part 1 and Part 2.

  • Q6
    Is this book suitable for students who are weak in Mathematics and need basic practice?
    A6

    Yes, the structured approach, starting from simpler questions and progressing to complex ones, makes it suitable for students of all proficiency levels to build their skills gradually.

  • Q7
    Does the Linear Programming chapter include graphical method solutions?
    A7

    Yes, the chapter on Linear Programming covers the graphical method of solution for problems in two variables in detail, as per the CBSE syllabus.

  • Q8
    How is this U-Like book different from other question banks in the market?
    A8

    Its key differentiators are the inclusion of actual solved 2025 board papers, strict adherence to the latest CBSE syllabus, a wide variety of questions, and a logical chapter-wise structure focused on exam-specific preparation.

  • Q9
    Is the book useful for competitive exams like JEE Main or NEET alongside board prep?
    A9

    This book is specifically designed for the CBSE Class 12 Board Exam syllabus. While it strengthens your fundamental concepts, students aiming for JEE Main or NEET should refer to books specifically designed for those entrance exams.

  • Q10
    Are the solutions provided detailed and easy to understand?
    A10

    Yes, the solutions are written in a step-by-step manner, following CBSE marking schemes, to ensure they are easy to follow and help students understand the method to secure full marks.

CBSE SYLLABUS NCERT CLASS 12TH PART 1


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, and 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 are 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 the inverse, if it exists (here all matrices will have real entries).

2. Determinants (Period 20)
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 a system of linear equations by examples: Solving a system of linear equations in two or three variables (having a unique solution) using the 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 and logarithmic functions.
Derivatives of loge 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).



CBSE SYLLABUS NCERT CLASS 12TH PART 2


7. Integrals
Integration as the inverse process of differentiation. Integration of a variety of functions by substitution
by partial fractions and by parts, Definite integrals as a limit of a sum. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

8. Applications of the Integrals
Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/ellipses (in standard form only), and the area between the two above-said curves (the region should be clearly identifiable).

9. Differential Equations
Definition, order and degree, and 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.

10. 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, addition of vectors, multiplication of a vector by a scalar, and 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.

11. Three-Dimensional Geometry
Direction cosines/ratios of a line joining two points. Cartesian and vector equations of a line, coplanar and skew lines, and the shortest distance between two lines. Cartesian and vector equations of a plane. Angle between (i) two lines, (ii) two planes, (iii) a line and a plane. Distance of a point from a plane.

12. Linear Programming
Introduction to related terminology such as constraints, objective function, optimization, and 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).

13. Probability
Multiplication theorem on probability. Conditional probability, independent events, total probability, Bayes’s theorem. Random variable and its probability distribution, mean, and variance of haphazard variable. Repeated independent (Bernoulli) trials and binomial distribution.

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