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 practiced 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 and Tips
Relations and Functions
  • Types of Relations
  • Composite of two functions
  • Invertible Functions
  • Frequently asked question are from ‘Equivalence relations’ and composite of functions
Inverse Trigonometric Functions
  • Properties of Inverse Trigonometric functions
  • Write down domain and range of all trigonometric function and related graphs on paper and revise them on daily basis
Matrices
  • Multiplication of Matrices
  • Symmetric and Skew Symmetric Properties
  • Finding Inverse of a Matrix using elementary transformation
  • Most of the students get stuck in elementary transformation
Determinants
  • Properties of determinants
  • Adjoint and Inverse of a Matrix
  • Solution of system of linear equations
  • Always mark the question while you get stuck, because all questions cannot be practised before exams
Continuity and Differentiability
  • Continuity of a function
  • Logarithmic Differentiation
  • Second order derivatives
  • Differentiation of Parametric form of functions
  • Logarithmic, trigonometric functions, exponential should be at tip
Application of Derivatives
  • Rate of change
  • Increasing and decreasing functions
  • Tangents and Normal to Curves
  • First and Second Derivatives Test for finding Local Maxima and Minima
Integrals
  • Integration by method of Substitution
  • Integration by Method of Partial Fractions
  • Integration by Parts
  • Definite Integral as Limit of a sum
  • Properties of Definite Integrals
Application of Integrals
  • Area under curves
  • Area bounded by a curve and a line
  • Area bounded by 2 Curves
  • It always better to draw the curve and shade the area to be calculated
Differential Equations
  • Formation of differential equation
  • Method of Solving Differential Equation with variable separable
  • Homogeneous Differential Equation
  • Linear differential equation
Vector Algebra
  • Scalar Product of Vectors and Projection of Vectors on a line
  • Vector Product of Vectors
3-D Geometry
  • Direction Cosines and Direction Ratio of line
  • Equation of line
  • Coplanarity of line
  • Angle between 2 lines
  • Shortest distance between 2 skew lines
  • Equation of plane in normal form
  • Equation of plane perpendicular to given vector and passing through a given point
  • Equation of plane passing through 3 non-collinear points
  • Plane passing through the intersection of two planes
  • Angle between 2 planes
  • Distance of a point from a plane
  • Angle between a line and a plane
Linear Programming
  • Graphical Solution to linear problems
Probability
  • Multiplication Theorem of Probability
  • Independent Events
  • Bayes’ Theorem
  • Random Variable and its probability distribution
  • Mean and Variance of Random Variable
  • Binomial Distribution
  • Try to revise the concepts of permutation and combination before getting into the chapter

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.

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