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Tiwari Academy  /  Latest News  /  Class 12 Maths Solutions and Syllabus for Board Exams

Class 12 Maths Solutions and Syllabus for Board Exams

Class 12 Mathematics
Post Date: October 4, 2023

Preparing for Class 12 Mathematics for CBSE board exams requires a structured and focused approach. Start by thoroughly understanding the CBSE Class 12 Mathematics syllabus. This will help you identify the topics you need to cover. Develop a study schedule that covers all topics in the syllabus. Allocate more time to challenging topics and prioritize your weakest areas.
Chapters of Class 12 Maths
CBSE Class 12 Mathematics covers a wide range of topics, divided into two main parts: Part A and Part B. Here are the main topics you need to study in Class 12 Mathematics according to the CBSE syllabus:
Chapter 1 Relations and Functions: Types of relations, Types of functions and Inverse trigonometric functions.


Chapter 2 Inverse Trigonometric Functions: Properties of inverse trigonometric functions, Principal value branches and Graphs of inverse trigonometric functions.


Chapter 3 Matrices: Types of matrices, Operations on matrices, Transpose of a matrix, Determinants
Adjoint and inverse of a matrix, Application of matrices to solve linear equations.


Chapter 4 Determinants: Properties and evaluation of determinants and Area of a triangle using determinants.


Chapter 5 Continuity and Differentiability: Continuity of a function, Differentiability and its rules. Derivatives of composite functions, and Derivatives of implicit functions.


Chapter 6 Applications of Derivatives: Rate of change of quantities, Tangents and normal, Maxima and Minima.


Chapter 7 Integrals: Integration as an inverse process of differentiation, Methods of integration Definite integrals, Fundamental theorem of calculus, and Evaluation of definite integrals by substitution.


Chapter 8 Applications of Integrals: Area under simple curves, and Area between two curves.


Chapter 9 Differential Equations: Basic concepts and terminology, General and particular solutions
Methods of solving first-order, first-degree differential equations and Applications of differential equations.


Chapter 10 Vector Algebra: Vectors and scalars, Types of vectors, Addition of vectors, Product of vectors with Scalar and vector products.


Chapter 11 Three-Dimensional Geometry: Direction cosines and direction ratios, Distance between two points, Section formula, Equation of a line and plane in space, Angle between two lines and shortest distance between two lines.


Chapter 12 Linear Programming: Introduction to linear programming, Mathematical formulation of linear programming problems, Graphical method of solution and linear programming in two variables.


Chapter 13 Probability: Conditional probability, Multiplication theorem on probability, Bayes’ theorem, Random variables and probability distributions, and Binomial distribution.

Main Topics of Class 12 Maths

The above mentioned are the main topics you need to study in CBSE Class 12 Mathematics. It’s essential to cover these topics thoroughly, practice a variety of problems, and understand the underlying concepts to perform well in your Class 12 board exams.

Class 12 Mathematics Solutions

Class 12 Mathematics textbook for Solutions

Obtain the recommended CBSE Class 12 Mathematics textbook and any supplementary study materials or reference books that can provide additional practice and explanations. Class 12 Mathematics builds on concepts from previous class. Review your Class 12 math notes and textbooks to ensure you have a solid foundation. Math is a subject that requires consistent practice. Solve a variety of problems and exercises from your textbook, sample papers, and previous years’ question papers.

Seek Help When Needed and Practice Time Management

Don’t hesitate to ask your teacher for help or clarification if you encounter difficulties with specific topics. You can also consider getting a tutor if you need personalized assistance. During your preparation, practice solving problems under timed conditions to improve your time management skills for the exam.


Create concise formula sheets or flashcards summarizing important formulas and concepts. Review these regularly. Rather than memorizing solutions, focus on understanding the underlying concepts and logic. This will help you tackle a wider range of problems effectively.

Solve Sample Papers and Take Mock Tests

Solve CBSE Class 12 Mathematics sample papers and previous years’ question papers. This will help you become familiar with the exam pattern and types of questions asked. Participate in mock tests or practice exams to simulate real exam conditions. This can help reduce anxiety and improve your performance under pressure.


Maintain a healthy lifestyle with regular exercise, balanced nutrition, and sufficient sleep. Dedicate time for regular revision to reinforce your understanding of key topics. Keep up with any updates or changes in the CBSE Class 12 Mathematics syllabus or exam pattern.


Scoring 100 percent marks in the Class 12 Mathematics board exam is an extremely challenging feat and is quite rare. Achieving a perfect score in any subject, including mathematics, requires not only a deep understanding of the subject matter but also an exceptional level of consistency, preparation, and accuracy. Here are some reasons why scoring 100 percent in Class 12 Maths is challenging.

Solutions for Class 12 Maths exams
Vast Syllabus and Complexity of Questions

Class 12 Mathematics covers a wide range of topics, from calculus to algebra, and includes complex concepts and problem-solving techniques. Mastering every aspect of this syllabus is a substantial undertaking. The CBSE board exams often include questions that require advanced problem-solving skills and a deep understanding of mathematical concepts. Achieving perfection on such questions can be quite challenging. Even the most proficient mathematicians can make occasional errors in calculations or steps when solving problems. One small mistake can lead to the loss of several marks.

The CBSE board exams are timed, and you must complete a specified number of questions within a limited time frame. This adds an element of time pressure, which can make it challenging to check your work thoroughly. The board exam question papers can vary from year to year in terms of the difficulty level and the types of questions asked.


Scoring 100 percent requires consistently performing well across different question formats. While scoring 100 percent in Class 12 Mathematics is challenging, it’s essential to focus on doing your best rather than aiming for a perfect score.

Thoroughly understand the concepts and practice regularly. Solve a variety of problems, including those from previous years’ question papers, NCERT solutions and sample papers. Work on your time management skills to complete the exam within the allocated time.


Seek clarification from your teacher or tutor if you have doubts about any topics. Remember that achieving a high score that reflects your understanding and effort is a significant accomplishment in itself. It’s essential to strive for excellence and continuous improvement rather than focusing solely on achieving a perfect score.

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