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NCERT Solutions for Class 10 Maths are given in this article with stepwise solutions. The Class 10 Maths NCERT Solutions can be used for the preparation for the CBSE Class 10 Board Exam. Along with the NCERT Solutions, Important topics, and Important questions have also been provided which the students can use for understanding the concepts. NCERT Solutions for Class 10 Maths cover important chapters like Polynomials, Statistics, Introduction to Trigonometry, Circles, etc.
NCERT Solutions for Class 10 Maths – Chapter-wise Solutions
The chapter-wise Class 10 Maths NCERT Solutions are as given below :
Class 10 Maths NCERT Solutions – Chapters
The chapter exercises and important topics covered in Class 10 Maths are as follows :
Chapter 1: Real Numbers
- Definition: In number system, the combination of rational and irrational numbrers is called real numbers. These are the numbers that can be represented in the number line.
- Weightage in Board Exam: Chapter 1 Real numbers belongs to Unit 1 Number Systems which has a weightage of 10 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: NCERT Solutions for Class 10 Maths Chapter 1 includes the following important topics:
| NCERT Solutions for Real Numbers – Chapter Exercises | |
|---|---|
| NCERT Solutions Real Numbers Class 10 Exercise 1.1 | 5 Questions (4 Long Answers, 1 Short Answer) |
| NCERT Solutions Real Numbers Class 10 Exercise 1.2 | 7 Questions (4 Long Answers, 3 Short Answers) |
| NCERT Solutions Real Numbers Class 10 Exercise 1.3 | 3 Questions (3 Short Answers) |
| NCERT Solutions Real Numbers Class 10 Exercise 1.4 | 3 Questions (3 Short Answers) |
Chapter 1 Real Numbers: Additional Resources
| Chapter Related Topics | ||
|---|---|---|
| Real Numbers Important Questions | Real Numbers Formula | Real Numbers Chapter Notes |
Chapter 2: Polynomials
- Definition: An algebric expression that consists of variables and coefficients is known as polynomials.
- Weightage in Board Exam: Chapter 2 Polynomials belongs to Unit 2 Algebra which has a weightage of 20 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: Class 10 Maths NCERT Solutions for Polynomials covers the following important topics:
| NCERT Solutions for Polynomials – Chapter Exercises | |
|---|---|
| NCERT Solutions Polynomials Class 10 Exercise 2.1 | 1 Question (1 Short Answer) |
| NCERT Solutions Polynomials Class 10 Exercise 2.2 | 2 Questions (2 Short Answers) |
| NCERT Solutions Polynomials Class 10 Exercise 2.3 | 5 Questions (2 Short Answers, 3 Long Answers) |
| NCERT Solutions Polynomials Class 10 Exercise 2.4 | 5 Questions (2 Short Answers, 3 Long Answers) |
Chapter 2 Polynomials: Additional Resources
Chapter 3: Pair of Linear Equations in Two Variables
- Definition: An expression in the form of, ax + by + c = 0, where a, b and c are real numbers and a and b are not equal to 0, is called a linear equation in two variables.
- Weightage in Board Exam: Chapter 3 Linear Equations in Two Variables belongs to Unit 2 Algebra which has a weightage of 20 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: NCERT Solutions for Class 10 Maths – Pair of Linear Equations includes the following concepts:
| NCERT Solutions for Linear Equations in Two Variables – Chapter Exercises | |
|---|---|
| NCERT Solutions Linear Equations in Two Variables Class 10 Exercise 3.1 | 3 Questions (2 Short Answers, 1 Long Answer) |
| NCERT Solutions Linear Equations in Two Variables Class 10 Exercise 3.2 | 7 Questions (5 Short Answers, 2 Long Answers) |
| NCERT Solutions Linear Equations in Two Variables Class 10 Exercise 3.3 | 3 Questions (2 Short Answers, 1 Long Answer) |
| NCERT Solutions Linear Equations in Two Variables Class 10 Exercise 3.4 | 2 Questions (2 Long Answers) |
| NCERT Solutions Linear Equations in Two Variables Class 10 Exercise 3.5 | 4 Questions (4 Short Answers) |
| NCERT Solutions Linear Equations in Two Variables Class 10 Exercise 3.6 | 2 Questions (2 Long Answers) |
| NCERT Solutions Linear Equations in Two Variables Class 10 Exercise 3.7 | 8 Questions (1 Short Answer, 7 Long Answers) |
Chapter 3 Linear Equations in Two Variables: Additional Resources
Chapter 4: Quadratic Equations
- Definition: A polynomial equation expressed as, ax2 + bx + c = 0, where highest degree is two is called a quadratic equation.
- Weightage in Board Exam: Chapter 4 Quadratic Equations belongs to Unit 2 Algebra which has a weightage of 20 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: Class 10 Maths Quadratic Equations covers the following important topics:
| NCERT Solutions for Quadratic Equations – Chapter Exercises | |
|---|---|
| NCERT Solutions Quadratic Equations Class 10 Exercise 4.1 | 2 Questions (1 Short Answer, 1 Long Answer) |
| NCERT Solutions Quadratic Equations Class 10 Exercise 4.2 | 6 Questions (6 Short Answers) |
| NCERT Solutions Quadratic Equations Class 10 Exercise 4.3 | 11 Questions (8 Short Answers, 3 Long Answers) |
| NCERT Solutions Quadratic Equations Class 10 Exercise 4.4 | 5 Questions (2 Short Answers, 3 Long Answers) |
Chapter 4 Quadratic Equations: Additional Resources
| Chapter Related Topics | ||
|---|---|---|
| Quadratic Equations Formula | Quadratic Equations MCQ | Discriminant Formula |
Chapter 5: Arithmetic Progression
- Definition: When the difference of two consecutive terms of a sequence of numbers is constant or same, the sequence is called an arithmatic progression.
- Weightage in Board Exam: Chapter 5 Arithmetic Progression belongs to Unit 2 Algebra which has a weightage of 20 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: Class 10 Maths NCERT Solutions include topics like:
| NCERT Solutions for Arithmetic Progression – Chapter Exercises | |
|---|---|
| NCERT Solutions Arithmetic Progression Class 10 Exercise 5.1 | 4 questions (1 Short Answer, 3 Long Answers) |
| NCERT Solutions Arithmetic Progression Class 10 Exercise 5.2 | 20 questions (10 Short Answers, 10 Long Answers) |
| NCERT Solutions Arithmetic Progression Class 10 Exercise 5.3 | 20 Questions (7 Short Answer, 13 Long Answers) |
| NCERT Solutions Arithmetic Progression Class 10 Exercise 5.4 | 5 Questions (5 Long Answers) |
Chapter 5 Arithmetic Progression: Additional Resources
| Chapter Related Topics | ||
|---|---|---|
| Arithmetic Progression Revision Notes | Arithmetic Progression Formula | Arithmetic Progression Chapter Notes |
Chapter 6: Triangles
- Definition: A three sided polygon consisting three edges and three vertices, is known as a triangle. The sum of all the three angles of a triangle is always 180°.
- Weightage in Board Exam: Chapter 6 Triangles belongs to Unit 4 Geometry which has a weightage of 15 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: NCERT Solutions for Triangles includes questions on the following important topics:
| NCERT Solutions for Triangles – Chapter Exercises | |
|---|---|
| NCERT Solutions Triangles Class 10 Exercise 6.1 | 3 Questions (3 Short Answers) |
| NCERT Solutions Triangles Class 10 Exercise 6.2 | 10 Questions (9 Short Answers, 1 Long Answer) |
| NCERT Solutions Triangles Class 10 Exercise 6.3 | 16 Questions (12 Short Answers, 4 Long Answers) |
| NCERT Solutions Triangles Class 10 Exercise 6.4 | 9 Questions (7 Short Answers, 2 Long Answers) |
| NCERT Solutions Triangles Class 10 Exercise 6.5 | 17 Questions (15 Short Answers, 2 Long Answers) |
| NCERT Solutions Triangles Class 10 Exercise 6.6 | 10 Questions (5 Short Answers, 5 Long Answers) |
Chapter 6 Triangles: Additional Resources
Chapter 7: Coordinate Geometry
- Definition: Coordinate geometry is the branch of geometry where position of points on a plane is defined by their coordinates.
- Weightage in Board Exam: Chapter 7 Coordinate Geometry belongs to Unit 3 Coordinate Geometry which has a weightage of 6 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: Class 10 Maths Chapter 7 covers topics such as:
| NCERT Solutions for Coordinate Geometry – Chapter Exercises | |
|---|---|
| NCERT Solutions Coordinate Geometry Class 10 Exercise 7.1 | 3 Questions (3 Short Answers) |
| NCERT Solutions Coordinate Geometry Class 10 Exercise 7.2 | 10 Questions (9 Short Answers, 1 Long Answer) |
| NCERT Solutions Coordinate Geometry Class 10 Exercise 7.3 | 16 Questions (12 Short Answers, 4 Long Answers) |
| NCERT Solutions Coordinate Geometry Class 10 Exercise 7.4 | 9 Questions (7 Short Answers, 2 Long Answers) |
Chapter 7 Coordinate Geometry: Additional Resources
| Chapter Related Topics | ||
|---|---|---|
| Coordinate Geometry Chapter Notes | Coordinate Geometry MCQs | Midpoint Formula |
Chapter 8: Introduction to Trigonometry
- Definition: Trigonometry is a branch of mathematics which deals with the relationship between the angles of a triangle and its sides. It is concerned with th efunctions and applications of angles.
- Weightage in Board Exam: Chapter 8 Introduction to Trigonometry belongs to Unit 5 Trigonometry which has a weightage of 12 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: NCERT Solutions for Class 10 Maths Chapter 8 covers:
| NCERT Solutions for Introduction to Trigonometry – Chapter Exercises | |
|---|---|
| NCERT Solutions Introduction to Trigonometry Class 10 Exercise 8.1 | 11 Questions (8 Short Answers, 3 Long Answers) |
| NCERT Solutions Introduction to Trigonometry Class 10 Exercise 8.2 | 4 Questions (2 Short Answers, 2 Long Answers) |
| NCERT Solutions Introduction to Trigonometry Class 10 Exercise 8.3 | 7 Questions (5 Short Answers, 2 Long Answers) |
| NCERT Solutions Introduction to Trigonometry Class 10 Exercise 8.4 | 5 Questions (3 Short Answers, 2 Long Answers) |
Chapter 8 Introduction to Trigonometry: Additional Resources
Chapter 9: Some Applications of Trigonometry
- Definition: The areas where applications of trigonometry are applied often are astronomy, physics, architecture, etc.
- Weightage in Board Exam: Chapter 9 Some Applications of Trigonometry belongs to Unit 5 Trigonometry which has a weightage of 12 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: Class 10 Maths Chapter 9 includes concepts such as:
| NCERT Solutions for Some Applications of Trigonometry – Chapter Exercises | |
|---|---|
| NCERT Solutions Some Applications of Trigonometry Class 10 Exercise 9.1 | 16 Questions (16 Long Answers) |
Chapter 9 Some Applications of Trigonometry: Additional Resources
Chapter 10: Circles
- Definition: Circle is a locus (path) of a point which is, at all points, is equidistant from another fixed point (center).
- Weightage in Board Exam: Chapter 10 Circles which belongs to Unit 4 Geometry has a weightage of 15 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: NCERT Solutions for Class 10 Maths Circles have important questions on topics such as-
| NCERT Solutions for Circles – Chapter Exercises | |
|---|---|
| NCERT Solutions Circles Class 10 Exercise 10.1 | 4 Questions (2 Short Answers, 2 Long Answers) |
| NCERT Solutions Circles Class 10 Exercise 10.2 | 13 Questions (2 Short Answers, 14 Long Answers) |
Chapter 10 Circles: Additional Resources
| Chapter Related Topics | ||
|---|---|---|
| Circles Chapter Notes | Circles Revision Notes | Circles Important Questions |
| Circle theorem | Arc | Great Circle Formula |
Chapter 11: Constructions (Omitted for AY 2022-2023)
- Weightage in Board Exam: Chapter 11 Constructions has been omitted from the latest CBSE Class 10 Syllabus.
- Important Topics Covered: NCERT Solutions for Class 10 Maths Chapter 11 includes the following concepts:
| NCERT Solutions for Constructions – Chapter Exercises | |
|---|---|
| NCERT Solutions Constructions Class 10 Exercise 11.1 | 7 Questions (7 Long Answers) |
| NCERT Solutions Constructions Class 10 Exercise 11.2 | 7 Questions (7 Long Answers) |
Chapter 11 Constructions: Additional Resources
| Chapter Related Topics | ||
|---|---|---|
| Constructions Chapter Notes | Constructions Formula | Constructions Revision Notes |
Chapter 12: Areas Related to Circles
- Definition: The area of a circle is the region occupied by it in a two dimensional plane.
- Weightage in Board Exam: Chapter 12 Areas Related to Circles belongs to Unit 6 Mensuration has a weightage of 10 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: Class 10 Maths NCERT Solutions for Chapter 12 covers topics such as:
| NCERT Solutions for Areas Related to Circles – Chapter Exercises | |
|---|---|
| NCERT Solutions Areas Related to Circles Class 10 Exercise 12.1 | 5 Questions (5 Short Answers) |
| NCERT Solutions Areas Related to Circles Class 10 Exercise 12.2 | 14 Questions (9 Short Answers, 5 Long Answers) |
| NCERT Solutions Areas Related to Circles Class 10 Exercise 12.3 | 16 Questions (9 Short Answers, 7 Long Answers) |
Chapter 12 Areas Related to Circles: Additional Resources
Chapter 13: Surface Areas and Volume
- Definition: The surface area of an object is the complete area/region the object occupies whilst the volume the amount of space an object occupies is called its volume.
- Weightage in Board Exam: Chapter 13 Surface Areas and Volume belongs to Unit 6 Mensuration which has a weightage of 10 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: NCERT Solutions for Class 10 Maths Chapter 13 includes the following important concepts:
| NCERT Solutions for Surface Areas and Volume – Chapter Exercises | |
|---|---|
| NCERT Solutions Surface Areas and Volume Class 10 Exercise 13.1 | 9 Questions (2 Short Answers, 7 Long Answers) |
| NCERT Solutions Surface Areas and Volume Class 10 Exercise 13.2 | 8 Questions (1 Short Answer, 7 Long Answers) |
| NCERT Solutions Surface Areas and Volume Class 10 Exercise 13.3 | 9 Questions (9 Long Answers) |
| NCERT Solutions Surface Areas and Volume Class 10 Exercise 13.4 | 5 Questions (5 Long Answers) |
| NCERT Solutions Surface Areas and Volume Class 10 Exercise 13.5 | 7 Questions (7 Long Answers) |
Chapter 13 Surface Areas and Volume: Additional Resources
Chapter 14: Statistics
- Definition: The branch of mathematics that deals with collectiong, analysing and interpreting the data is called statistics.
- Weightage in Board Exam: Chapter 14 Statistics belongs to Unit 7 Probability and Statistics which has a weightage of 11 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: Class 10 Maths Chapter 14 covers concepts such as:
| NCERT Solutions for Statistics – Chapter Exercises | |
|---|---|
| NCERT Solutions Statistics Class 10 Exercise 14.1 | 9 Questions (9 Long Answers) |
| NCERT Solutions Statistics Class 10 Exercise 14.2 | 6 Questions (6 Long Answers) |
| NCERT Solutions Statistics Class 10 Exercise 14.3 | 7 Questions (7 Long Answers) |
| NCERT Solutions Statistics Class 10 Exercise 14.4 | 3 Questions (3 Long Answers) |
Chapter 14 Statistics: Additional Resources
Chapter 15: Probability
- Definition: Probability deals with the possibility of any event to occur and is calculated as the ratio of number of favourable outcomes to th ethe total number of outcomes.
- Weightage in Board Exam: Chapter 15 Probability belongs to Unit 7 Statistics and Probability which has a weightage of 11 marks in the CBSE Class 10 Maths Examination.
- Important Topics Covered: NCERT Solutions for Class 10 Maths Chapter 15 includes important topics such as:
| NCERT Solutions for Probability – Chapter Exercises | |
|---|---|
| NCERT Solutions Probability Class 10 Exercise 15.1 | 25 Questions (22 Short Answers, 3 Long Answers) |
| NCERT Solutions Probability Class 10 Exercise 15.2 | 5 Questions (5 Short Answers) |
Chapter 15 Probability: Additional Resources
To understand the concepts and prepare well for the examination NCERT Solutions for Class 10 Maths can be used along with the chapter notes provided. The provided chapters and topics weigh significantly in the mathematics syllabus and are important to secure good marks.
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