# Class 10 Mathematics

For the academic year 2021-22, the board has established a new evaluation scheme for CBSE Classes 10 and 12. CBSE has divided the Class 10 Maths Syllabus into two terms, term 1 and term 2, in accordance with this structure. In addition, the board has given a unit-by-unit mark distribution for each term, as well as the internal evaluation. Students of the CBSE Board can download the CBSE Syllabus for Class 10 Maths in PDF format from the link below. They can find the course structure, internal assessment, marking scheme, and recommended books in the pdf along with the CBSE Syllabus.

#### Special Scheme for 2021-22

A. Academic session to be divided into 2 Terms with approximately 50% syllabus in each term: The syllabus for the Academic session 2021-22 will be divided into 2 terms by following a systematic approach by looking into the interconnectivity of concepts and topics by the Subject Experts and the Board will conduct examinations at the end of each term on the basis of the bifurcated syllabus. This is done to increase the probability of having a Board conducted classes X and XII examinations at the end of the academic session.

B. The syllabus for the Board examination 2021-22 will be rationalized similar to that of the last academic session to be notified in July 2021. For academic transactions, however, schools will follow the curriculum and syllabus released by the Board vide Circular no. F.1001/CBSE[1]Acad/Curriculum/2021 dated 31 March 2021. Schools will also use alternative academic calendar and inputs from the NCERT on transacting the curriculum. C. Efforts will be made to make Internal Assessment/ Practical/ Project work more credible and valid as per the guidelines and Moderation Policy to be announced by the Board to ensure fair distribution of marks.

#### Term I Examinations:

· At the end of the first term, the Board will organize Term I Examination in a flexible schedule to be conducted between November-December 2021 with a window period of 4-8 weeks for schools situated in different parts of country and abroad. Dates for conduct of examinations will be notified subsequently.

· The Question Paper will have Multiple Choice Questions (MCQ) including case-based MCQs and MCQs on assertion-reasoning type. Duration of test will be 90 minutes and it will cover only the rationalized syllabus of Term I only (i.e. approx. 50% of the entire syllabus).

· Question Papers will be sent by the CBSE to schools along with marking scheme.

· The exams will be conducted under the supervision of the External Center Superintendents and Observers appointed by CBSE.

· The responses of students will be captured on OMR sheets which, after scanning may be directly uploaded at CBSE portal or alternatively may be evaluated and marks obtained will be uploaded by the school on the very same day. The final direction in this regard will be conveyed to schools by the Examination Unit of the Board.

· Marks of the Term I Examination will contribute to the final overall score of students.

#### Term II Examination/ Year-end Examination:

· At the end of the second term, the Board would organize Term II or Year[1]end Examination based on the rationalized syllabus of Term II only (i.e. approximately 50% of the entire syllabus).

· This examination would be held around March-April 2022 at the examination centres fixed by the Board.

· The paper will be of 2 hours duration and have questions of different formats (case-based/ situation based, open ended- short answer/ long answer type).

· In case the situation is not conducive for normal descriptive examination a 90 minute MCQ based exam will be conducted at the end of the Term II also.

· Marks of the Term II Examination would contribute to the final overall score.

## Term-wise Syllabus

The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with growth of the subject and emerging needs of the society. The present revised syllabus has been designed in accordance with National Curriculum Framework 2005 and as per guidelines given in the Focus Group on Teaching of Mathematics which is to meet the emerging needs of all categories of students. For motivating the teacher to relate the topics to real life problems and other subject areas, greater emphasis has been laid on applications of various concepts.

## NCERT Solutions Class 10 Maths Chapters

Chapter 1 Real Numbers

NCERT Solutions Real Numbers Class 10 Exercise 1.1

NCERT Solutions Real Numbers Class 10 Exercise 1.2

NCERT Solutions Real Numbers Class 10 Exercise 1.3

NCERT Solutions Real Numbers Class 10 Exercise 1.4

Chapter 2 Polynomials

NCERT Solutions Polynomials Class 10 Exercise 2.1

NCERT Solutions Polynomials Class 10 Exercise 2.2

NCERT Solutions Polynomials Class 10 Exercise 2.3

NCERT Solutions Polynomials Class 10 Exercise 2.4

Chapter 3 Pair of Linear Equations in Two Variables

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.1

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.2

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.3

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.4

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.5

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.6

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.7

Chapter 4 Quadratic Equations

NCERT Solutions Maths Quadratic Equations Class 10 Exercise 4.1

NCERT Solutions Maths Quadratic Equations Class 10 Exercise 4.2

NCERT Solutions Maths Quadratic Equations Class 10 Exercise 4.3

NCERT Solutions Maths Quadratic Equations Class 10 Exercise 4.4

Chapter 5 Arithmetic Progressions

NCERT Solutions Class 10 Maths Arithmetic Progressions Exercise 5.1

NCERT Solutions Class 10 Maths Arithmetic Progressions Exercise 5.2

NCERT Solutions Class 10 Maths Arithmetic Progressions Exercise 5.3

NCERT Solutions Class 10 Maths Arithmetic Progressions Exercise 5.4

Chapter 6 Triangles

Triangles Class 10 Exercise 6.1

Triangles Class 10 Exercise 6.2

Triangles Class 10 Exercise 6.3

Triangles Class 10 Exercise 6.4

Triangles Class 10 Exercise 6.5

Triangles Class 10 Exercise 6.6

Chapter 7 Coordinate Geometry

Coordinate Geometry Class 10 Exercise 7.1

Coordinate Geometry Class 10 Exercise 7.2

Coordinate Geometry Class 10 Exercise 7.3

Coordinate Geometry Class 10 Exercise 7.4

Chapter 8 Introduction to Trigonometry

NCERT Solutions Introduction to Trigonometry Class 10 Exercise 8.1

NCERT Solutions Introduction to Trigonometry Class 10 Exercise 8.2

NCERT Solutions Introduction to Trigonometry Class 10 Exercise 8.3

NCERT Solutions Introduction to Trigonometry Class 10 Exercise 8.4

Chapter 9 Some Applications of Trigonometry

NCERT Solutions Some Applications of Trigonometry Class 10 Exercise 9.1

Chapter 10 Circles

NCERT Solutions Circles Class 10 Exercise 10.1

NCERT Solutions Circles Class 10 Exercise 10.2

Chapter 11 Constructions

NCERT Solutions Constructions Class 10 Exercise 11.1

NCERT Solutions Constructions Class 10 Exercise 11.2

Chapter 12 Areas Related to Circles

NCERT Solutions Areas Related to Circles Class 10 Exercise 12.1

NCERT Solutions Areas Related to Circles Class 10 Exercise 12.2

NCERT Solutions Areas Related to Circles Class 10 Exercise 12.3

Chapter 13 Surface Areas and Volumes

NCERT Solutions Maths Class 10 Surface Areas and Volumes Exercise 13.1

NCERT Solutions Maths Class 10 Surface Areas and Volumes Exercise 13.2

NCERT Solutions Maths Class 10 Surface Areas and Volumes Exercise 13.3

NCERT Solutions Maths Class 10 Surface Areas and Volumes Exercise 13.4

NCERT Solutions Maths Class 10 Surface Areas and Volumes Exercise 13.5

Chapter 14 Statistics

NCERT Solutions of Maths Class 10 Statistics Exercise 14.1

NCERT Solutions of Maths Class 10 Statistics Exercise 14.2

NCERT Solutions of Maths Class 10 Statistics Exercise 14.3

NCERT Solutions of Maths Class 10 Statistics Exercise 14.4

Chapter 15 Probability

NCERT Solutions of Maths Class 10 Probability Exercise 15.1

NCERT Solutions of Maths Class 10 Probability Exercise 15.2

## Case Study Questions

## Old Structure

##### COURSE STRUCTURE CLASS – X

##### MATHEMATICS-Standard

QUESTION PAPER DESIGN

CLASS – X (2021-22)

Time: 3 Hours, Max. Marks: 80

##### MATHEMATICS-Basic

QUESTION PAPER DESIGN

CLASS – X (2021-22)

Time: 3 Hours, Max. Marks: 80