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Important Topics and Tips for Class 12th Maths Exam Preparation

Check essential tips and important topics for the Class 12th Maths exam, along with a detailed exam pattern, chapter-wise weightage, and effective preparation strategies to excel in your studies.
authorImageJatin Sharma18 Feb, 2025
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Topics and Tips for Class 12th Maths Exam

Scoring well in the Class 12th Maths Exam is crucial, but it requires dedication and consistent effort. Understanding topics thoroughly and practising various problem types is key to achieving a perfect score. Completing the syllabus on time is half the battle won.

Students should study regularly, revising daily and solving problems from each chapter. Starting with easier questions and gradually tackling tougher ones helps build confidence. The real test comes in the three-hour board exam, so staying positive and confident is vital. Here are some important topics and tips to excel in the Class 12th Maths Exam.

Class 12th Maths Exam

The Class 12th Maths exam is a crucial assessment that evaluates students' understanding of advanced mathematical concepts. The syllabus typically includes topics such as calculus, algebra, geometry, and statistics. Students are expected to solve complex problems and apply theoretical knowledge to practical situations. The exam format often comprises both subjective and objective questions, testing analytical and problem-solving skills. Adequate preparation is essential, involving regular practice, revision of formulas, and solving previous years’ question papers. A strong performance in this exam is vital for students pursuing higher education in fields like engineering, economics, and science.

Class 12th Maths Exam Chapter-wise Important Topics

Here, are the important topics to focus on for the Class 12th Maths Exam. Understanding these concepts thoroughly will help in scoring well.
Class 12th Maths Chapter-wise Important Topics
Chapter Name Important Topics
Relations and Functions Understanding types of relations, Invertible functions, Composite functions
Inverse Trigonometric Functions Properties of inverse trigonometric functions
Matrices Matrix multiplication, Properties of Symmetric and Skew Symmetric matrices, Finding matrix inverses
Determinants Properties of determinants, Matrix inverse and adjoint, Solutions to systems of linear equations
Continuity and Differentiability Continuity, Second-order derivatives, Logarithmic differentiation, Parametric form of functions
Application of Derivatives Rate of change, Tangents and normals to curves, Identifying increasing and decreasing functions, Local maxima and minima using tests
Integrals Integration methods, Substitution, Partial fractions, Integration by parts, Properties of definite integrals, Definite integral as the limit of a sum
Application of Integrals Area under curves, Area bounded by curves, Area bounded by a curve and a line
Differential Equations Forming differential equations, Solving linear differential equations, Separable methods, Homogeneous differential equations
Vector Algebra Scalar product, Projection of vectors, Vector product
3-D Geometry Direction cosines, Direction ratios of a line, Equations of lines and planes, Angles and distances in 3D space
Linear Programming Graphical solution to linear programming problems
Probability Multiplication theorem, Independent events, Bayes' theorem, Binomial distribution, Random variables and their probability distributions, Mean and variance of random variables

CBSE Class 12th Maths Exam Pattern 2024

Students should prioritize topics with higher weightage, such as calculus, which carries the maximum weightage of 35 marks, while preparing for the Class 12th Maths Exam. This means dedicating more time and effort to understanding and practicing important concepts to perform well in the exam. Check the complete Marks Distribution and CBSE Class 12th Maths Exam Pattern 2024 in the table below:
CBSE Class 12th Maths: Exam Pattern
No. Units Marks
1 Relations and Functions 08
2 Algebra 10
3 Calculus 35
4 Vectors and Three–Dimensional Geometry 14
5 Linear Programming 05
6 Probability 08
Total Theory 80
Internal Assessment 20
Grand Total 100

What is Class 12th Maths Exam Question Paper Design?

In the Class 12th Maths Exam, the question paper is divided into five sections: A, B, C, D, and E. Each section is compulsory, but some questions offer choices within them.
  • Section A: Contains 18 multiple-choice questions (MCQs) and 2 Assertion-Reason based questions, each worth 1 mark.
  • Section B: Consists of 5 Very Short Answer (VSA) questions, each valued at 2 marks.
  • Section C: Contains 6 Short Answer (SA) questions, each carrying 3 marks.
  • Section D: Comprises 4 Long Answer (LA) questions, with each question worth 5 marks.
  • Section E: Includes 3 source-based, case-based, or passage-based units of assessment, each totalling 4 marks with subparts.
Students have 3 hours to complete the exam, which is graded out of a total of 80 marks.

Also Read: Maths MCQs for CBSE Class 11th and 12th 2024

Class 12th Maths Exam Preparation Tips

Preparing for the Class 12th Maths Exam requires consistent effort and dedication. Here are ten lengthy tips to help students excel in their preparation:
  • Regular Practice: Maths demands regular practice, so students should dedicate at least an hour daily to studying Maths and solving problems based on the topics they've learned.
  • Use Class 12th Maths Exam NCERT Textbook: Start by studying from the NCERT Class 12 Maths textbook as the question paper is designed from it. Once the syllabus is completed, move on to practicing problems from other reference books.
  • Practice, Practice, Practice: The key to scoring high marks in Maths is practice. Finish the Class 12th Maths Exam Syllabus by December and then focus on revising and practicing different types of problems.
  • Revision with Sample Papers: Utilize CBSE Class 12 Maths sample papers for revision. Solving various sample papers helps in getting accustomed to different sets of questions with varying difficulty levels.
  • Solve Previous Years' Papers: Practice CBSE Previous Years' Class 12 Maths Papers to understand the exam's difficulty level and the types of questions asked. This also helps in identifying important questions.
  • Focus on Weak Areas: Analyze your performance regularly and identify weak areas. Allocate more time to work on these weak points to improve overall performance.
  • Seek Help if Needed: Don't hesitate to seek help from teachers, classmates, or online resources if you're struggling with certain concepts or problems.
  • Understand Concepts: Don't just memorize formulas; make sure you understand the underlying concepts. This will help in solving problems more effectively.
  • Time Management: Practice solving problems within the time limit to improve time management skills, especially for exams where time is limited.
  • Stay Confident and Positive: Maintain a positive mindset and stay confident in your abilities. Believe in yourself and your preparation, as confidence plays a crucial role in performing well in the exam.
Furthermore, effective preparation for the Class 12th Maths Exam requires dedication, regular practice, and utilizing valuable resources like NCERT textbooks and sample papers. By focusing on important topics, identifying weak areas, and managing time efficiently, students can boost their confidence and perform well in the exam.
Also, PhysicsWallah (PW) stands out as a premier coaching platform for commerce students, offering comprehensive study materials, experienced faculty, and personalized support. With our innovative teaching methods and commitment to excellence, PW empowers students to achieve academic success in their Class 12th Maths Exam and beyond.  Elevate your commerce studies with the PW Commerce Online Course – Join Now and excel in your academic journey!
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Class 12th Maths Exam FAQs

How should I prepare for the Maths board exam in class 12?

To prepare for your Class 12 Maths board exam, it's essential to practice regularly. Utilize NCERT Solutions for Class 12 Maths to understand your mistakes. Create a notebook and jot down all the formulas from your NCERT textbook to solidify your understanding. Spend five minutes daily revising these formulas from your notebook. Practice as many questions as possible to improve accuracy and speed. Also, for more details on Important Topics for Class 12th Maths Exam Preparation, check the above article.

How to score full marks in Maths class 12?

Scoring full marks in Class 12 Maths requires consistent practice and thorough understanding of concepts. Utilize NCERT Solutions for Class 12 Maths to identify and rectify mistakes. Maintain a notebook with all the formulas from your NCERT textbook for easy reference. Regularly revise these formulas. Practice solving a variety of problems to enhance accuracy and speed. Also, for more details on Important Topics & Tips for Class 12th Maths Exam Preparation, check the above article.

What are Class 12th Maths Exam Important Topics?

Important topics for the Class 12 Maths Exam include relations and functions, inverse trigonometric functions, matrices, determinants, continuity and differentiability, application of derivatives, integrals, differential equations, vector algebra, 3-D geometry, linear programming, and probability. Also, for more details on Important Topics for Class 12th Maths Exam Preparation, check the above article.

How to score 100 in Maths class 12 2024?

Scoring 100 in Class 12 Maths requires dedication and consistent practice. Regularly practice solving problems from your textbook and attempt previous years' board papers and sample papers to familiarize yourself with the exam pattern and difficulty level. Also, for more details on Important Topics & Tips for Class 12th Maths Exam Preparation, check the above article.

Is class 12 Maths exam easy?

The Class 12 Maths exam can vary in difficulty from year to year. While some students may find it manageable, others may find it challenging. The exam typically includes questions from the NCERT textbook, with a few surprises. Overall, it's essential to prepare thoroughly and practice regularly to tackle the exam confidently. Also, for more details on Important Topics & Tips for Class 12th Maths Exam Preparation, check the above article.
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