# Class 10 Maths NCERT Solutions [Updated]

Class 10 Maths NCERT Solutions for all the exercises from Chapters 1 to 15 are provided here. These NCERT Solutions are curated by our expert faculty to help students in their board exam preparations. Students looking for the Class 10 Maths NCERT Solutions can download all chapter-wise pdf to find a better approach to solve the problems. Students who are searching for the chapter wise with all exercises Class 10 Maths NCERT Solutions, can find here well-reviewed easy solutions. NCERT books are used by students in search of reliable answers when they practice Maths. These solutions are created as per the latest CBSE Class 10 Maths syllabus.

## Class 10 Maths NCERT Solutions – Chapter Wise

NCERT Solutions for Class 10 Maths for all the exercises from Chapters 1 to 15 are provided here. These NCERT Solutions are curated by our expert faculty to help students in their board exam preparations. Students looking for the NCERT Solutions of Class 10 Maths can download all chapter-wise pdf to find a better approach to solve the problems.

## CBSE Class 10 Maths Unit-wise Weightage 2021-2022

UNIT NoName of the UnitScoring Marks
1Number Systems6
2Algebra20
3Coordinate Geometry6
4Geometry15
5Trigonometry12
6Mensuration10
7Statistics and Probability11
Total80

### Class 10 Maths NCERT Solutions Chapter 1 – Real Numbers

You learn this subtopic in Real Numbers Chapter 1 of Class 10 Maths

1 Real Number
1.1 Introduction
1.2 Euclid’s Division Lemma
1.3 The Fundamental Theorem of Arithmetic
1.4 Revisiting Irrational Numbers
1.5 Revisiting Rational Numbers and Their Decimal Expansions
1.6 Summary

### Class 10 Maths NCERT Solutions Chapter 2 – Polynomials

2.1 Introduction
2.2 Geometrical Meaning Of The Zeroes Of A Polynomial
2.3 Relationship Between Zeroes And Coefficients Of A Polynomial
2.4 Division Algorithm For Polynomials
2.5 Polynomials
2.6 Summary

### Class 10 Maths NCERT Solutions Chapter 3 – Pair of Linear Equations in Two Variables

3.1 Introduction
3.2 Pair Of Linear Equations In Two Variables
3.3 Graphical Method Of Solution Of A Pair Of Linear Equations
3.4 Algebraic Methods Of Solving A Pair Of Linear Equations
3.4.1 Substitution Method
3.4.2 Elimination Method
3.4.3 Cross-Multiplication Method
3.5 Equations Reducible To A Pair Of Linear Equations In Two Variables
3.6 Summary

### Class 10 Maths NCERT Solutions Chapter 4 – Quadratic Equations

4.1 Introduction
4.3 Solution of a Quadratic Equation by Factorisation
4.4 Solution of a Quadratic Equation by Completing the Square
4.5 Nature of Roots
4.6 Summary

### Class 10 Maths NCERT Solutions Chapter 5 – Arithmetic Progressions

5.1 Introduction
5.2 Arithmetic Progressions
5.3 Nth Term Of An AP
5.4 Sum Of First N Terms Of An AP
5.5 Summary

### Class 10 Maths NCERT Solutions Chapter 7 – Coordinate Geometry

7.1 Introduction
7.2 Distance Formula
7.3 Section Formula
7.4 Area of a Triangle
7.5 Summary

### Class 10 Maths NCERT Solutions Chapter 8 – Introduction to Trigonometry

8 Introduction to Trigonometry
8.1 Introduction
8.2 Trigonometric Ratios
8.3 Trigonometric Ratios Of Some Specific Angles
8.4 Trigonometric Ratios Of Complementary Angles
8.5 Trigonometric Identities
8.6 Summary

### Class 10 Maths NCERT Solutions Chapter 9 – Some Applications of Trigonometry

9 Some Applications of Trigonometry
9.1 Introduction
9.2 Heights And Distances
9.3 Summary

### Class 10 Maths NCERT Solutions Chapter 10 – Circles

10 Circles
10.1 Introduction
10.2 Tangent To A Circle
10.3 Number Of Tangents From A Point On A Circle
10.4 Summary

### Class 10 Maths NCERT Solutions Chapter 11 – Constructions

11 Constructions
11.1 Introduction
11.2 Division Of A Line Segment
11.3 Construction Of Tangents To A Circle
11.4 Summary

### Class 10 Maths NCERT Solutions Chapter 12 – Areas Related to Circles

12 Areas Related to Circles
12.1 Introduction
12.2 Perimeter And Area Of A Circle – A Review
12.3 Areas Of Sector And Segment Of A Circle
12.4 Areas Of Combinations Of Plane Figures
12.5 Summary

### Class 10 Maths NCERT Solutions Chapter 13 – Surface Areas and Volumes

13 Surface Areas And Volumes
13.1 Introduction
13.2 Surface Area Of A Combination Of Solids
13.3 Volume Of A Combination Of Solids
13.4 Conversion Of Solid From One Shape To Another
13.5 Frustum Of A Cone
13.6 Summary

### Class 10 Maths NCERT Solutions Chapter 14 – Statistics

14 Statistics
14.1 Introduction
14.2 Mean Of Grouped Data
14.3 Mode Of Grouped Data
14.4 Median Of Grouped Data
14.5 Graphical Representation Of Cumulative Frequency Distribution
14.6 Summary

### Class 10 Maths NCERT Solutions Chapter 15 – Probability

15 Probability
15.1 Introduction
15.2 A Theoretical Approach
15.3 Summary

## MATHEMATICS-STANDARD QUESTION PAPER DESIGN CBSE CLASS 10 (2021-22)

Time: 3 Hours |  Max. Marks: 80

 SrNo. Typology of Questions Total Marks %Weightage (approx.) 1 Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas 43 54 2 Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. 19 24 3 Analysing :Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizationsEvaluating:Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.Creating:Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions 18 22 Total 80 100

 Internal Assessment Marks 20 Pen Paper Test and Multiple Assessment (5+5) 10 Marks Portfolio 05 Marks Lab Practical (Lab activities to be done from the prescribed books) 05 Marks