Important Topics and Tips Prepare for Class 12 Maths Exam


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Important Topics and Tips Prepare for Class 12 Maths Exam

Mathematics is one of the scoring subjects for CBSE class 12 students. If a student has a clear understanding of the topic and has practised different types of problems then he can score even 100 out of 100 marks. But achieving this is not a cakewalk. Students need to put extra effort and have to be consistent with their studies throughout the year. Here we have provided important topics and tips to prepare for the CBSE class 12 Maths exam.

If students have completed CBSE Class 12 Maths Syllabus on time then they have won half the battle. This can be done easily by studying simultaneously with the classroom. Students must revise and solve the questions of the chapter that is taught in the class on a daily basis. They should start with easier questions and then gradually proceed to a difficult one. With basics brushed up, students could solve the most difficult question also. Whatever the effort students put during the entire year will be tested in three hours of the Maths board exam. With the positive mindset and confident approach, students can rock in the exam.

CBSE Class 12 Maths Preparation Tips

Maths is a subject that demands regular practice. So, it’s important for the students that whatever they study they need to practice questions based on that topic. Students need to devote at least 1 hour for the Maths subject in daily study schedule. Students are advised to study from the NCERT Class 12 Maths textbook. Once they are done with the syllabus after that they can practice problems from other reference books. But first, they need to solve the NCERT book as the question paper is designed from it.

Marks Distribution of CBSE Class 12 Maths

As students can see from the table below that calculus carries the maximum weightage i.e 35 marks. So, while preparing for the Maths exam students, must give more time to those topics which have higher weightage.

No. Units Marks
I. Relations and Functions 08
II. Algebra 10
III. Calculus 35
IV. Vectors and Three – Dimensional Geometry 14
V. Linear Programming 05
VI. Probability 08
Total 80

Chapterwise Important Topics to Focus in Class 12 Maths Exam

Here students can get important topics for each chapter.

Chapter Name Important Topics
Relations and Functions
  • Relations types
  • Invertible functions
  • Composite of two functions
Inverse Trigonometric Functions
  • Inverse Trigonometric functions properties
  • Matrices Multiplication
  • Properties of Symmetric and Skew Symmetric
  • Finding a matrices inverses using elementary transformation
  • Determinants Properties
  • Matrix inverse and Adjoint
  • System of linear equations solutions
Continuity and Differentiability
  • Continuity
  • Second-order derivatives
  • Logarithmic Differentiation
  • The parametric form of functions -Differentiation
Application of Derivatives
  • Rate of change
  • Tangents and Normal to Curves
  • Increasing and decreasing functions
  • Finding Local maxima and minima using first and second-order  test
  • Integration Methods
    • Substitution
    • Partial Fractions
    • Parts
  • Properties of Definite Integrals
  • Definite Integral as Limit of a sum
Application of Integrals
  • Area under curves
  • The area bounded by two Curves
  • The area bounded by a curve and a line
Differential Equations
  • Differential equation Formation
  • Linear differential equation
  • Solving Differential Equation with variable separable methods
  • Homogeneous Differential Equation
Vector Algebra
  • Scalar Product of Vectors
  • Projection of Vectors on a line
  • Vector Product of Vectors
3-D Geometry
  • Direction Cosines
  • Direction Ratio of line
  • Line Equation
  • The angle between two lines
  • Coplanarity of line
  • The shortest distance between two skew lines
  • The angle between 2 planes
  • The distance of a point from a plane
  • The angle between a line and a plane
  • Equation of plane in normal form
  • Equation of plane perpendicular to the provided vector and it passes through a given point
  • Equation of plane passing through the three non-collinear points
  • The plane passing through the intersection of two planes
Linear Programming
  • Linear programming problems Graphical Solution
  • Probability Multiplication theorem
  • Independent Events
  • Bayes’ Theorem
  • Binomial Distribution
  • Random Variable and its probability distribution
  • Mean and Variance of Random Variable

CBSE Class 12 Maths Question Paper Pattern

The class 12 Maths paper is of 80 marks and 20 marks are assigned for the internal assessment. There are total 4 sections in the question paper. The number of questions and marks allocated to each section is provided below in the table. This will give an idea of class 12 Maths question paper design to the students. Based on this they can figure the exam strategy for themselves like which section to attempt first and how much time to devote to each section.

Section Name Type of Question Mark Per Question Total No. of Question Total Marks
Section A Very Short Answer
(Objective Type)
1 20 20
Section B Short Answer 2 6 12
Section C Long Answer – I 4 6 24
Section D Long Answer – II 6 4 24
Total 36 80

Practice Practice and Practice

The key to score high marks in class 12 Maths is practice. Students must finish their syllabus by the end of December month and then they must start with the revision. For revising Maths the best resource is to solve the CBSE Class 12 Maths sample papers. By practising different types of sample papers students will have a good practice of different sets of papers with varying difficulty level. Along with this students must also practice the CBSE Previous Years Class 12 Maths Papers. Through this, they will get a better understanding of the difficulty level of the exam and types of questions asked. Also, they could able to figure out the important questions that are mostly asked in the exam. Students should focus on practicing Maths and evaluating exam preparation. They must analyze their strong and weak points. Accordingly, they should give time to the weak areas and work on them. By doing so, the performance of the students will improve.

We hope students have found this information on “CBSE Class 12 Maths Preparation Tips” useful for their exam. Keep learning and stay tuned for further updates on CBSE and other competitive exams. Download BYJU’S App and subscribe to YouTube channel to access interactive Maths and Science videos.