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Download PDF of CBSE Sample Paper Class 12th Math (2021-22) with Solutions

Download PDF of CBSE Sample Paper Class 12th Math (2021-22) with Solutions

CBSE sample paper class 12th maths (2021-22) is available at VidyaSetu for download in PDF form. Students of class 12 must solve the latest and updated CBSE sample paper class 12th maths for better preparation for the examination. CBSE maths paper is conducted of 80 marks and the time allotted to complete the paper is hours. Students who are going to appear for the upcoming maths exam then must solve the CBSE sample paper class 12th Maths. Solving sample papers will help students to score good marks in the CBSE 12th exams. If any class 12th student has to appear for compartment exam, then solving CBSE sample paper class 12th maths will help them to score well in their exams. 

VidyaSetu provides candidates with the CBSE sample paper class 12th maths with its solutions. Here students can also check the revised marking scheme of mathematics as well as the Class 12 Commerce Syllabus.   By solving the CBSE sample paper, students can get to check their preparation level for the upcoming maths exam. From Vidya Setu, CBSE class 12th students can also download the previous year’s maths sample papers which will provide better insight into the board exam. Also, students can enrich their writing skills, and get familiar with the answer writing method. NCERT Class 12 Maths Solution can also be downloaded from Vidyasetu for free. Students can also visit the CBSE class 11 syllabus or can refer to their juniors. 

Download CBSE Sample Paper Class 12th Maths 2021

From Vidya Setu, CBSE class 12th students can easily download the latest CBSE sample paper class 12th maths with solutions. Not only this, here students will get to know about the marking scheme of each question. Solving the latest sample paper for class 12th Mathematics exam helps students to clear the exam with good marks. And knowing the marking scheme of the upcoming mathematics exam of CBSE class 12 is a plus point for the students.

Time Allowed: 3hrs                                                                                                                  Total Marks: 80

2021-22 CBSE Class 12th Maths Sample Paper (Solved) and Marking Scheme

Sample Paper

Download CBSE sample paper class 12th maths (2021-22)

Marking Scheme

Download CBSE marking scheme class 12th maths (2021-22)

General Instructions:

  • This question paper comprises four sections – A, B, C, and D. This question paper carries 38 questions. All questions are compulsory.
    • Section A – Question no. 1 to 20 comprises 20 questions of one mark each.
    • Section B – Question no. 21 to 26 comprises 6 questions of two marks each.
    • Section C – Question no. 27 to 32 comprises 6 questions of four marks each.
    • Section D – Question no. 33 to 36 comprises 4 questions of six marks each.
  • There is no overall choice in the question paper. However, an internal test has been provided in 3 questions of one mark, 2 questions of two marks, 2 questions of four marks, and 2 questions of six marks. Only one of the choices in such questions has to be attempted.
  • In addition to this, separate instructions are given with each section and question, wherever necessary. The use of calculators is not permitted.

CBSE Class 12th Maths Marking Scheme 2021

CBSE board has made some major changes in the exam pattern this year. So, before looking towards the CBSE sample paper for class 12 maths, let’s focus on the marking scheme of the CBSE sample paper for class 12 maths. 

CBSE Class 12th Maths Paper Pattern 2021

From this page, CBSE class 12th students can even get to know about the revised paper pattern which is initiated by the Central Board. 

Download the CBSE Class 12th Revised Paper Pattern (2021-22)

For attempting, CBSE class 12 board exam maths exam students need to understand how much time should be devoted to a question according to the marks allocation. CBSE board has made some major changes in the exam pattern this year. So, before looking towards the CBSE sample paper for class 12 maths, let’s focus on the marking scheme of the CBSE sample paper for class 12 maths. 

  • More Number of Objective Type Questions- This year CBSE has increased the objective questions. Out of 80 marks paper, only 60 marks will be allotted to subjective questions. There will be more MCQs. This year, the CBSE board has focused on lessening the burden of lengthy papers in exams. Now, Students can score high in their CBSE class 12 maths exam 2021.
  • Increased Number of Internal Choices- CBSE board has increased the number of internal choices by 33%. Students will have the option to select the question for which they are more confident. Henceforth, this will lead to scoring more in the CBSE class 12 exams. 

CBSE Class 12 Maths Previous Year sample papers

Download CBSE Sample Paper Class 12th Maths 2021

From VidyaSetu, class 12th students can download the PDF of CBSE sample paper class 12th maths (2019-20) with solutions. From here students can even get to know about the marking scheme. Mathematics is the subject of practice. The more students solve the questions the more they are ready for the CBSE class 12 maths examination. 

Time Allowed: 3hrs                                                                                                                 Total Marks: 80

2019-20 CBSE Class 12th Maths Sample Paper (Solved) and Marking Scheme

Sample Paper

Download CBSE sample paper class 12th maths (2019-20)

Marking Scheme

Download CBSE marking scheme class 12th maths (2019-20)

 

Download CBSE Sample Paper Class 12th Maths 2019

Time Allowed: 3hrs                                                                                                                    Total Marks: 100

2018-19  CBSE Class 12th Maths Sample Paper (Solved) and Marking Scheme

Sample Paper

Download CBSE sample paper class 12th maths (2018-19)

Marking Scheme

Download CBSE marking scheme class 12th maths (2018-19)

 

Download CBSE Sample Paper Class 12th Maths 2018

Time Allowed: 3hrs                                                                                                                Total Marks: 100

2017-18  CBSE Class 12th Maths Sample Paper (Solved) and Marking Scheme

Sample Paper

Download CBSE sample paper class 12th maths (2017-18)

Marking Scheme

Download CBSE marking scheme class 12th maths (2017-18)

 

Download CBSE Sample Paper Class 12th Maths 2017

Time Allowed: 3hrs                                                                                       Total Marks: 100

2016-17  CBSE Class 12th Maths Sample Paper (Solved)

Sample Paper

Download CBSE sample paper class 12th maths (2016-17)

Download CBSE Sample Paper Class 12th Maths 2016

Time Allowed: 3hrs                                                                                 Total Marks: 100

2015-16  CBSE Class 12th Maths Sample Paper (Solved)

Sample Paper

Download CBSE sample paper class 12th maths (2015-16)

Download CBSE Sample Paper Class 12th Maths 2015

Time Allowed: 3hrs                                                                                  Total Marks: 100

2014-15  CBSE Class 12th Maths Sample Paper (Solved)

Sample Paper

Download CBSE sample paper class 12th maths (2014-15)

CBSE class 12 Maths Previous Year Question Paper

Class 12 Mathematics is a very scoring subject only if the students have a proper understanding of each topic, to get the entire understanding students can visit class 12 maths NCERT books as well as maths important questions. 

Download CBSE Class 12 Maths Question paper 2021

Download CBSE Class 12 Maths Question paper 2019

Download CBSE Class 12 Maths Question paper 2018

Download CBSE Class 12 Maths Question paper 2017

Download CBSE Class 12 Maths Question paper 201

How to Download CBSE Class 12 Maths Sample Paper

Maths sample papers are provided by CBSE for students to practice and check their understanding so that students could prepare better for the coming class 12 Maths Board exam and also at the same time give them a real-time experience about taking the board exam

STEP 1: Visit cbse.nic.in

Step 2: Visit class 12 Board exams 

Step 3: Click on Mathematics sample papers

Step 4:  Select the subject 

Step 5: Download the sample paper in the form of PDf.

CBSE Class 12th Maths Syllabus Chapter-Wise (2021-22)

If students want to excel in their CBSE class 12th maths exam, then students must go thoroughly with the CBSE class 12th maths syllabus.

Download the CBSE class 12th Maths Syllabus(2021-22)

Chapters

Marks

Relation and function

8

Algebra

10

Calculus

35

Vectors and  Three  – Dimensional Geometry

14

Linear Programming

5

Probability

8

Total

80

Internal Assessment

20

Important Topics For CBSE Class 12 Mathematics Exam (Chapter-Wise) 

Chapter Name

Important Topics

Relations and Functions

  • Relations types
  • Invertible functions
  • Composite of two functions

Inverse Trigonometric Functions

  • Inverse Trigonometric functions properties

Matrices

  • Matrices Multiplication
  • Properties of Symmetric and Skew Symmetric
  • Finding a matrices inverses using elementary transformation

Determinants

  • 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

Integrals

  • 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

  • Probability Multiplication theorem
  • Independent Events
  • Bayes’ Theorem
  • Binomial Distribution
  • Random Variable and its probability distribution
  • Mean and Variance of Random Variable

Benefits of Solving CBSE Sample Papers

  • It helps students by knowing what kind of questions can come in the maths examination.
  • Students will be aware of the marking scheme and the question pattern.
  • Candidates can analyze their preparation for the coming exam by solving the previous year’s question papers.
  • Candidates even practice how to manage time during exams.

Conclusion

As prescribed by Cbse itself, students should solve CBSE class 12 sample papers to score good marks in exams. Although solving sample papers is not a compulsion but it is advised to do so so that students could get a real-time idea of the class 12 Board exam and they do not panic during the exam. You can find the CBSE sample paper for class 12 maths on this page above or can also go through the CBSE official website. 

We hope that CBSE class 12th candidates have found the CBSE sample paper for class 12 maths beneficial for preparation for the maths exam. Stay tuned with VidyaSetu, and it will keep you updated and tuned for all the information regarding CBSE Board. 

 

Frequently Asked Questions

Q1. Is it important to solve CBSE class 12 maths sample papers?

Ans- It is definitely not compulsory to solve the CBSE class 12 sample paper, but it is advised so that students could understand where they lack in studies and would be able to practice more. 

 

 Q2. Where can I find CBSE class 12 sample paper solutions?

Ans – You can find CBSE class 12 Maths sample paper solution and marking scheme above on his page, visit the links provided above and get your doubts cleared, also you can visit CBSE’s official website to download sample paper solutions and marking schemes. 

 

Q3. What is the motive behind solving the problems of the CBSE Sample Paper?

Ans- The motive behind solving the CBSE sample papers is for students to make the right judgment about their preparation, and make them understand in which topic their knowledge lacks. 

 

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