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Out of all the subjects, Mathematics is the one subject that is considered as difficult by a majority of the students. While students may not like it, Mathematics is one of the most crucial subjects for the students as their future path depends a lot on the marks scored in Class 10 Maths. As a result, NCERT Solutions for Class Maths play a vital role in helping the students ace Class 10th Maths board exams with flying colors.

## NCERT Solutions for Class 10 Maths – Free PDF

Among all the study material available out there, NCERT is preferred and liked by many as NCERT Class 10 Maths Solutions has a structure that is easy to learn and comprehend. The concepts and the in-details depth of reasoning are easy to understand and helps with the preparation of board exams as well as competitive exams. We recommend Class 10th Maths NCERT Solutions as a good revision tool before the commencement of your board examinations.

The Class 10 Maths Solutions NCERT comes in a PDF format and covers all the exercises of 15 chapters of the NCERT textbook for Class 10. Written in accordance with the latest CBSE exam guidelines, NCERT Solutions of Class 10 Maths help students prepare better for the exams and score well. The PDF is also important to grasp vital concepts from each chapter of Class 10 Maths.

**NCERT Class 10 Maths Solutions for Session 2020-2021**

Maths Class 10 NCERT Solutions are available in a PDF format and are a highly reliable, accurate source of information for students sitting for their board exams. Designed by curriculum experts at SwifLearn, the PDF comprises exhaustive, detailed, and step-by-step explanations to all the problems of the NCERT Maths Class 10 textbook. Regular practice along with thorough use of NCERT Solutions for Class 10 Maths is a prerequisite for the students to score well in their board examinations.

**NCERT Solutions for Class 10 Maths – Chapters & Exercises**

### Chapter 1: Real Numbers

It’s the first and an important chapter from the NCERT where you will learn about Irrational numbers, Euclid’s division algorithm, and the fundamental theorem of arithmetic. The chapter also contains the HCF of two positive Integers which is highly beneficial for competitive as well as board examinations. Swiflearn’s solution for all exercises is as per given NCERT syllabus of class 10th.

### Chapter 2: Polynomials

The chapter begins with the understanding of basic understanding of polynomials and linear polynomials, quadratic polynomials & cubic polynomials. There are a total of 4 exercises however the last one is optional. All the solutions and the questionnaire pattern is available at Swiflearn’s solution for exercises.

### Chapter 3: Pair of Linear Equations in Two Variables

The chapter starts with explaining the concepts of linear equations in two variables. Out of 7 exercises, the last one is optional and the topics covered are a pair of linear equations and the method of their solution followed by algebraic conditions for equations and simple situational problems and problems on equations reducible to linear equations.

**Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1**

**Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2**

**Chapter 3 Pair of Linear Equations in Two Variables Ex 3.3**

**Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4**

**Chapter 3 Pair of Linear Equations in Two Variables Ex 3.5**

**Chapter 3 Pair of Linear Equations in Two Variables Ex 3.6**

**Chapter 3 Pair of Linear Equations in Two Variables Ex 3.7**

### Chapter 4: Quadratic equations

The chapter starts with the learning of finding the roots of quadratic equations. The chapter contains four exercises. In the first two, you have to find whether equations are quadratic or not, and in the second exercise, you need to find the roots of the quadratic equations by factorization. The third exercise is for finding the roots on the quadratic equations and the fourth has five questions based on finding roots.

**Chapter 4 Quadratic Equations Ex. 4.1**

**Chapter 4 Quadratic Equations Ex. 4.2**

**Chapter 4 Quadratic Equations Ex. 4.3**

**Chapter 4 Quadratic Equations Ex. 4.4**

### Chapter 5: Arithmetic Progression

An arithmetic progression is altogether a new addition in which you will learn how to find the nth term and use them to solve the word problems. As usual, there are 4 exercises in which the fourth is optional but it will help you to solve problems of the higher classes as it clears the concepts and makes a base for difficult questions.

**Chapter 5 Arithmetic Progression Ex. 5.1**

**Chapter 5 Arithmetic Progression Ex. 5.2**

**Chapter 5 Arithmetic Progression Ex. 5.3**

**Chapter 5 Arithmetic Progression Ex. 5.4**

### Chapter 6: Triangles

There are various theorems in the chapter however as per NCERT guidelines there are a total of 9 theorems which you should focus on as they will be important for the boards and as per CBSE structure.

There are a total of 6 exercises out of which the last one is optional. For maths, aspiring students its an important chapter as there will be a lot more advanced chapters associated with triangles in the higher grades.

### Chapter 7: Coordinate Geometry

This chapter is going to be about finding the distance between two points whose coordinates will be given and finding the coordinates of the point which divides a line segment. The important formulas to learn in this chapter are Distance, Section, and Area of Triangle. The chapter comprises 4 exercises out of which the last one is optional but we recommend going through all to clear your basics and if you are aspiring a career in mathematics then it’s a must to learn the chapter.

**Chapter 7 Coordinate Geometry Ex. 7.1**

**Chapter 7 Coordinate Geometry Ex. 7.2**

**Chapter 7 Coordinate Geometry Ex. 7.3**

**Chapter 7 Coordinate Geometry Ex. 7.4**

### Chapter 8: Introduction to trigonometry

The chapter will help you study some rations of the right triangle with aspect to ratios of acute angles called trigonometric ratios. The chapter will also help you to study complementary angles by four exercises with 27 questions in total out of which 18 are long and 9 are short.

**Chapter 8 Introduction to Trigonometry Ex. 8.1**

**Chapter 8 Introduction to Trigonometry Ex. 8.2**

**Chapter 8 Introduction to Trigonometry Ex. 8.3**

**Chapter 8 Introduction to Trigonometry Ex. 8.4**

### Chapter 9: Application of Trigonometry

This is a very interesting chapter that will teach you how trigonometry will be used in daily life or around you by calculating the heights and distance of various objects without actually measuring. The chapter has only one exercise and worth practising.

**Chapter 9 Application of Trigonometry Ex. 9.1**

### Chapter 10: Circles

A set of all points in a plain equidistant from a given point is known as a circle., The chapter starts with the definitions and you will get to know about chords and segments. It has two exercises comprises of basic questions in the first and with various equations in the second one.

### Chapter 11: Constructions

As the name suggests this chapter has various constructions such as division of line segment and calculations using a ruler and a compass followed by mathematical reasoning against the construction.

The chapter has 2 exercises with 14 long questions.

**Chapter 11 Constructions Ex. 11.1**

**Chapter 11 Constructions Ex. 11.2**

### Chapter 12: Areas related to Circles

You must have learned in your earlier classes about the methods of finding the perimeter and areas of figures like circles, squares, and rectangles. In this chapter, you will learn about areas related to triangles through exercises of 35 questions in total.

**Chapter 12 Areas related to Circles Ex. 12.1**

**Chapter 12 Areas related to Circles Ex. 12.2**

**Chapter 12 Areas related to Circles Ex. 12.3**

### Chapter 13: Surface Area and Volumes

In this chapter, you will deal with problems and their solutions to find areas and volumes of various solid objects like cube, cuboid, and cylinders. NCERT Solutions for Class 10 Maths chapter 13 has 4 exercises with 38 questions in total.

**Chapter 13 Surface Area and Volumes Ex. 13.1**

**Chapter 13 Surface Area and Volumes Ex. 13.2**

**Chapter 13 Surface Area and Volumes Ex. 13.3**

**Chapter 13 Surface Area and Volumes Ex. 13.4**

### Chapter 14: Statistics

This chapter is based on finding mean, median, and mode from ungrouped to grouped data. There will also be questions asked for cumulative frequency distribution and how to dram cumulative frequency curves. There will be a total of 25 long answer questions in 4 different exercises.

**Chapter 14 Statistics Ex. 14.1**

**Chapter 14 Statistics Ex. 14.2**

**Chapter 14 Statistics Ex. 14.3**

**Chapter 14 Statistics Ex. 14.5**

### Chapter 15: Probability

Finally the last and the most fun-loving chapter student finds is based on real-life questions on the probability of getting a number or a head/ tail is through this chapter which helps in many day to day activities as well comprises of two exercises in which one is optional with 30 questions in total (27 short and 3 long).

**Chapter 15 Probability Ex. 15.1**

**Chapter 15 Probability Ex. 15.2**

### Class 10 CBSE Unit-Wise Marks Weightage

Unit No. |
Unit Name |
Marks |

1 | Number System | 6 |

2 | Algebra | 20 |

3 | Coordinate Geometry | 6 |

4 | Geometry | 15 |

5 | Trigonometry | 12 |

6 | Mensuration | 10 |

7 | Statistics & Probability | 11 |

Total |
80 Marks |

The written exam of CBSE Class 10 Maths will be of 80 Marks, the remaining 20 Marks out of 100 will be based on internals/practicals & assessments.

### CBSE Class 10 Maths Exam Pattern

Section | Marking Scheme |

A | 20 Questions of 1 Mark Each |

B | 6 Questions of 2 Marks Each |

C | 8 Questions of 3 Marks Each |

D | 6 Questions of 4 Marks Each |

Total |
40 Questions of Total 80 Marks |

**FAQ’s for NCERT Solution for Class 10 Maths**

**How these NCERT Solutions are beneficial for students?**

NCERT Solutions for Class 10 Maths are considered to be one of the easiest yet effective solutions for class 10th and CBSE boards too and here are the few crucial benefits of the NCERT Solutions

• It helps you to build a stronger base for maths as the concepts are very much clear and efficiently explained which helps a student to develop confidence for CBSE boards and future competitive exams.

• NCERT solutions have some easy to learn steps which will help you to easily perceive and resolve some tough questions for the examinations.

• Unlike other guides which give unnecessary details on the topic NCERT syllabus is yet not lengthy and is effective which helps to understand the concepts easily.

**Is NCERT enough for Class 10****th**** board examinations?**

NCERT is a smartly designed course structure that revolves around CBSE and which is why 78% of students prefer as the concepts and the formulas are designed and explained in a way that is easy to understand and the examination questions are from CBSE only.

**How to master in class 10****th**** maths of CBSE?**

You do not need to go through all the guides available in the market but effectively practicing and exercising Class 10th NCERT is enough and as the course of CBSE is from NCERT, therefore regular practices will help a student to achieve good marks in maths examinations.

**Which are the most difficult chapters of the class 10****th**** syllabus of NCERT?**

Many students find chapter-9 “Trigonometry” as one of the most difficult chapters but regular practicing with NCERT will help you to achieve and learn the basic concepts of the chapter also you can regiseter Online coaching from Swiflearn to master trigonometry classes (Live) conducted by subject experts.

**Where to find class 10****th**** NCERT Solutions?**

Finding the best and the effective solution for class 10th could be tricky and which is why Swiflearn subject experts have prepared them so that without wasting your time you can start learning right away.

The solutions are arranged chapter-wise and exercise-wise so that while practising without wasting time you can enhance and practice on your CBSE boards.

**Which is the official website for NCERT?**

http://ncert.nic.in/ is the official website for NCERT. The NCERT provides various study materials textbooks syllabus and also there is a lot of material for teachers as well to prepare the syllabus and the schedule for students preparing for class 10th boards.

**How to get maximum marks in maths?**

As per CBSE guidelines, there are 15 chapters given in NCERT for class 10th syllabus. The division of the marks is Algebra (20 marks), Trigonometry (12 marks), Statistics, and Probability (11 marks) which are easy scoring topics from class 10th board maths marking schemes. Always practice on Trigonometry formulas, Surface Area and Volume formulas, Proving Rational numbers, Long division of polynomials and Algebra Identities are the topics that will help you achieve maximum marks in class 10th mathematics.

**What are the concepts explained in the solutions of NCERT Class 10 Maths Textbook?**

NCERT Solutions for Class 10 Maths assists all CBSE Class 10 Students in offering some helpful tricks and tips to solve math problems at the end of each chapter and if you are an aspiring maths student or you are looking forward to taking maths after class 10th please clear your concepts with the help of NCERT as these concepts are going to help you in future academic years.

Good Luck!