## NCERT Solutions of Class 10 Maths Updated for 2022-23 Session: Free Download Chapter wise PDF

NCERT Solutions for Class 10 Maths step-by-step solutions for all exercises from Chapters 1 to 15 in NCERT textbooks are available in PDF at Tiwari Academy. These NCERT solutions are prepared by experts and will help you understand the concepts better and score high in your exams. The solved examples help students to get a clear idea of the concepts. Our experts have created solutions that are easy to understand and follow as per the latest 2022-23 CBSE Syllabus and Marking scheme.

NCERT Solutions for Class 10 Maths for the first and second term you can get here free for 2022-2023 which are prescribed by the NCERT (National Council of Educational Research and Training). All these solutions are provided by our expert Maths teacher to help students in their board exam preparations.

## Chapter Wise Class 10 Maths NCERT Solutions

- Chapter 1: Real Numbers
- Chapter 2: Polynomials
- Chapter 3: Pair of Linear Equations in Two Variables
- Chapter 4: Quadratic Equations
- Chapter 5: Arithmetic Progression
- Chapter 6: Triangles
- Chapter 7: Coordinate Geometry
- Chapter 8: Introduction to Trigonometry
- Chapter 9: Some Applications of Trigonometry
- Chapter 10: Circles
- Chapter 11: Constructions
- Chapter 12: Area Related to Circles
- Chapter 13: Surface Areas and Volumes
- Chapter 14: Statistics
- Chapter 15: Probability

In NCERT Maths class 10, there are a total of 15 chapters which included in the CBSE syllabus. Students who are searching for the chapter wise with all exercises Class 10 Maths NCERT Solutions, they can find here well-reviewed easy solutions. These solutions are the best study materials and act as an effective tool for the Class 10 board exam for CBSE and UP Board. Download UP Board Solutions for Class 10 Maths in Hindi. Students can prepare complete all the class 10th Maths solutions for the Academic year 2022-2023 here. You can also download FREE NCERT class 10 Maths book PDF without paying any cost.

Here are mentioned some links by clicking these you can get exercise-wise NCERT Solutions for Class 10 Maths. All sum solutions are in an easy method. If you practice this solution properly that help you score good marks in your 10th Board exam, just download unlimited NCERT Solutions for Class 10 Maths PDF for all Exercises, and you can also share these links to your friends also.

## NCERT Solutions for Class 10 Maths All Chapters

Find NCERT Solutions for Class 10 Maths App all Chapters, which are provided by the expert math teacher. You just need to click simply these below mentioned Exercise-wise links here and get the solutions. You can get solutions for all topics of the NCERT Class 10 book here with both modes offline and online. These Chapter Wise NCERT Solutions for Class 10 Maths are also available here in both medium Hindi and English here. And just download here Class 10 Maths Chapter Wise Solutions in PDFs, you can share these solutions to your friends to help him/her. Here you also get NCERT Exemplar Class 11 Maths Solutions which provide you best idea of your board exam question pattern, so that you can solve all the questions easily in your exam. By doing well practice with these free Class 10th Maths Solutions, you can pass your 10th board exam with good percentage. Join us for latest CBSE Class 10 information and other educational news.

### NCERT Solutions Class 10 Maths for First Term Exams 2022-2023

### Marking Scheme for 10th Maths 1st Term Eaxm 2022-2023

Chapters | Marks |
---|---|

Chapter 1: Real Numbers | 6 |

Chapter 2: Polynomials and Chapter 3: Pair of Linear Equations in Two Variables | 10 |

Chapter 6: Triangles | 6 |

Chapter 7: Coordinate Geometry | 6 |

Chapter 8: Introduction to Trigonometry | 5 |

Chapter 12: Area Related to Circles | 4 |

Chapter 15: Probability | 3 |

Total | 40 |

Internal Assessment | 10 |

First Term Total Marks | 50 |

### NCERT Solutions Class 10 Maths for Second Term Exams 2022-2023

### Marking Scheme for 10th Maths 2nd Term Eaxm 2022-2023

Chapters | Marks |
---|---|

Chapter 4: Quadratic Equations and Chapter 5: Arithmetic Progression | 10 |

Chapter 9: Some Applications of Trigonometry | 7 |

Chapter 10: Circles and Chapter 11: Constructions | 9 |

Chapter 13: Surface Areas and Volumes | 6 |

Chapter 14: Statistics | 8 |

Total | 40 |

Internal Assessment | 10 |

Second Term Total Marks | 50 |

## NCERT Class 10 Maths Chapters

There are 15 chapters in NCERT Class 10 Book, and here you can get solutions for all chapters provided by the skilled maths teacher. Practising these textbook exercises will help the students in their preparation for the board examination. Class 10 Maths is the most important subject, and you need to do well practice so that you can solve the higher class’s math sums easily. The chapters covered in this NCERT Solutions for Class 10 Maths are as Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Some Applications of Trigonometry, Constructions, Surface Areas and Volumes, Statistics Probability. UP Board students are also using NCERT Books, they also can download UP Board Solution for Class 10 Maths.

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

In this NCERT Solutions for Class 10 Maths Chapter 1, Real Numbers, you learn about a detailed knowledge about real numbers and irrational numbers. Here you read about Euclid’s Division Lemma that states “Given positive integers a and b. Thus Euclid’s Division algorithm is based on this lemma which is used to calculate the find the LCM and HCF of any two positive integers. With the help of this theorem, you can learn about irrational number, rational number and decimal expansion in this chapter. NCERT solutions for class 10 maths chapter 1 Real Numbers covers Euclid’s division lemma, Fundamental Theorem of Arithmetic, Decimal representation of rational numbers, Proofs of the irrationality of √2, √3, √5 etc. The total numbers of topics cover in the 10th Class Maths Book Solution are 4. Student can download Free NCERT Solutions for Class 10 Maths PDF to learn offline. You can get here Chapter Real Numbers Class 10 Maths Solutions in both Hindi medium & English medium here.

### Free NCERT Solutions for Class 10 Maths Chapter 1 in PDF Format

- Class 10 Maths Chapter 1 Exercise 1.1 Solutions in English
- Class 10 Maths Chapter 1 Exercise 1.2 Solutions in English
- Class 10 Maths Chapter 1 Exercise 1.3 Solutions in English
- Class 10 Maths Chapter 1 Exercise 1.4 Solutions in English
- Class 10 Maths Chapter 1 Exercise 1.1 Solutions in Hindi
- Class 10 Maths Chapter 1 Exercise 1.2 Solutions in Hindi
- Class 10 Maths Chapter 1 Exercise 1.3 Solutions in Hindi
- Class 10 Maths Chapter 1 Exercise 1.4 Solutions in Hindi
- Download Class 10 Maths Chapter 1 Exercise 1.1 Solutions in PDF
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#### 10th Maths Chapter 1 Solutions in Videos

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

Student can get Class 10 Maths NCERT Solutions Chapter 2 – Polynomials with free of cost. Here you can get a solution that covering all problem sums as prescribed latest CBSE Textbook. Detailed solutions for all exercise sums by the experienced math teacher can be easily understood by the Class 10 Students. In this Class 10 Maths NCERT Solutions Chapter 2, you can learn about the finding the number of zeroes through a graph, understanding of Geometrical Meaning of the Zeroes of a Polynomial, Relationship between Zeroes and Coefficients of a Polynomial, quadratic polynomial, concept of division algorithm etc. These NCERT solutions for class 10 maths chapter 2 Polynomials has a total of 4 exercises, including an optional exercise. These solutions are based on 10th Class Maths Book Solution.

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### Free NCERT Solutions for Class 10 Maths Chapter 2 in PDF Format

- Class 10 Maths Chapter 2 Exercise 2.1 Solutions in English
- Class 10 Maths Chapter 2 Exercise 2.2 Solutions in English
- Class 10 Maths Chapter 2 Exercise 2.3 Solutions in English
- Class 10 Maths Chapter 2 Exercise 2.4 Solutions in English
- Class 10 Maths Chapter 2 Exercise 2.1 Solutions in Hindi
- Class 10 Maths Chapter 2 Exercise 2.2 Solutions in Hindi
- Class 10 Maths Chapter 2 Exercise 2.3 Solutions in Hindi
- Class 10 Maths Chapter 2 Exercise 2.4 Solutions in Hindi
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#### 10th Maths Chapter 2 Solutions in Videos

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

NCERT Solutions for class 10 maths chapter 3 explains the concept of Pair of Linear Equations in Two Variables. There are seven exercises in these NCERT solutions class 10 maths chapter 3 Pair of Linear Equations in Two Variables. All solutions are well-reviewed by the skilled math teacher with an easy method. Class 10 students can easily understand and clear their concepts with these maths solutions. In this Class 10 Maths NCERT Chapter 3 – Pair of Linear Equations in Two Variables, you can cover topics like how to represent a situation algebraically and graphically, methods of solving the pair of the linear equation through Graphical Method, Elimination Method, Substitution, Cross-Multiplication Method and many more. If you solve this chapter thoroughly, then you can understand all the concept of linear equations.

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### Free NCERT Solutions for Class 10 Maths Chapter 3 in PDF Format

- Class 10 Maths Chapter 3 Exercise 3.1 Solutions in English
- Class 10 Maths Chapter 3 Exercise 3.2 Solutions in English
- Class 10 Maths Chapter 3 Exercise 3.3 Solutions in English
- Class 10 Maths Chapter 3 Exercise 3.4 Solutions in English
- Class 10 Maths Chapter 3 Exercise 3.5 Solutions in English
- Class 10 Maths Chapter 3 Exercise 3.6 Solutions in English
- Class 10 Maths Chapter 3 Exercise 3.7 Solutions in English
- Class 10 Maths Chapter 3 Exercise 3.1 Solutions in Hindi
- Class 10 Maths Chapter 3 Exercise 3.2 Solutions in Hindi
- Class 10 Maths Chapter 3 Exercise 3.3 Solutions in Hindi
- Class 10 Maths Chapter 3 Exercise 3.4 Solutions in Hindi
- Class 10 Maths Chapter 3 Exercise 3.5 Solutions in Hindi
- Class 10 Maths Chapter 3 Exercise 3.6 Solutions in Hindi
- Class 10 Maths Chapter 3 Exercise 3.7 Solutions in Hindi
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## NCERT Solutions for Class 10 Maths Chapter 4– Quadratic Equations

NCERT Solutions for class 10 maths chapter 4 will provide you to know the standard form of writing a quadratic equation. There are four exercises in this NCERT solution for class 10 maths chapter 4 Quadratic Equations. In this chapter, students learn about quadratic equations related to day to day activities to be incorporated. Class 10 Maths NCERT Chapter 4 – Quadratic Equations cover topics like Solutions of quadratic equations by factorization, Relationship between discriminant and nature of roots, completing the square method, Use of quadratic formula etc. You can also download unlimited NCERT solutions for class 10 maths Quadratic Equations PDF here. You can also Chapter Quadratic Equations class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 4 in PDF Format

- Class 10 Maths Chapter 4 Exercise 4.1 Solutions in English
- Class 10 Maths Chapter 4 Exercise 4.2 Solutions in English
- Class 10 Maths Chapter 4 Exercise 4.3 Solutions in English
- Class 10 Maths Chapter 4 Exercise 4.4 Solutions in English
- Class 10 Maths Chapter 4 Exercise 4.1 Solutions in Hindi
- Class 10 Maths Chapter 4 Exercise 4.2 Solutions in Hindi
- Class 10 Maths Chapter 4 Exercise 4.3 Solutions in Hindi
- Class 10 Maths Chapter 4 Exercise 4.4 Solutions in Hindi
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## NCERT Solutions for Class 10 Maths Chapter 5– Arithmetic Progressions

NCERT Solutions for class 10 maths chapter 5 will introduce students to a new topic that is Arithmetic Progression which is also known as A.P. NCERT solutions for class 10 maths chapter 5 Arithmetic Progressions covers the topics such as difference of an AP, representing a situation in the form of AP, finding out whether a series is AP, the last exercise includes higher-level questions based on AP, so that student have strong knowledge of analytical and have power solving skills. There are four topics in Class 10 Maths NCERT Chapter 5 – Arithmetic Progressions which are based on the latest syllabus of NCERT Book. Student can also download unlimited NCERT solutions for class 10 maths Arithmetic Progressions PDF here. You can also Chapter Arithmetic Progressions class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 5 in PDF Format

- Class 10 Maths Chapter 5 Exercise 5.1 Solutions in English
- Class 10 Maths Chapter 5 Exercise 5.2 Solutions in English
- Class 10 Maths Chapter 5 Exercise 5.3 Solutions in English
- Class 10 Maths Chapter 5 Exercise 5.4 Solutions in English
- Class 10 Maths Chapter 5 Exercise 5.1 Solutions in Hindi
- Class 10 Maths Chapter 5 Exercise 5.2 Solutions in Hindi
- Class 10 Maths Chapter 5 Exercise 5.3 Solutions in Hindi
- Class 10 Maths Chapter 5 Exercise 5.4 Solutions in Hindi
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#### 10th Maths Chapter 5 Solutions in Videos

## NCERT Solutions for Class 10 Maths Chapter 6– Triangles

In this NCERT solution for class 10 maths chapter 6, you learn about study those figures which have the same shapes but not necessarily the same size. From this chapter, you learn about the concept of a similar and congruent figure. Here you also know about the condition for the similarity of two triangles and some theorems related to these similarities of triangles. NCERT solutions for class 10 maths chapter 6 Triangles covers the topic such as Definitions of triangles, the ratio of the areas of two similar triangles, right triangle, corresponding angles etc. There are six topics in Class 10 Maths NCERT Chapter 6 – Triangles based on the latest syllabus of NCERT Book. Student can also download unlimited NCERT solutions for class 10 maths Triangles PDF here. Student can also download Chapter Triangles class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 6 in PDF Format

- Class 10 Maths Chapter 6 Exercise 6.1 Solutions in English
- Class 10 Maths Chapter 6 Exercise 6.2 Solutions in English
- Class 10 Maths Chapter 6 Exercise 6.3 Solutions in English
- Class 10 Maths Chapter 6 Exercise 6.4 Solutions in English
- Class 10 Maths Chapter 6 Exercise 6.5 Solutions in English
- Class 10 Maths Chapter 6 Exercise 6.6 Solutions in English
- Class 10 Maths Chapter 6 Exercise 6.1 Solutions in Hindi
- Class 10 Maths Chapter 6 Exercise 6.2 Solutions in Hindi
- Class 10 Maths Chapter 6 Exercise 6.3 Solutions in Hindi
- Class 10 Maths Chapter 6 Exercise 6.4 Solutions in Hindi
- Class 10 Maths Chapter 6 Exercise 6.5 Solutions in Hindi
- Class 10 Maths Chapter 6 Exercise 6.6 Solutions in Hindi
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#### 10th Maths Chapter 6 Solutions in Videos

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

Here in this NCERT Solutions for class 10 maths, chapter 7 students will learn how to find the distance between two points if the coordinates are given. You also learn how to find the area of the triangle formed by three given points and also find the coordinates of the point that divides a line segment joining two given points. NCERT solutions for class 10 maths chapter 7 Coordinate Geometry covers the topic such as Concepts of coordinate geometry, Area of a triangle, Distance formula, graphs of linear equations etc. There are four topics in Class 10 Maths NCERT Chapter 7 – Coordinate Geometry which is based on the latest syllabus of CBSE. Student can also download FREE NCERT solutions for class 10 maths Coordinate Geometry PDF here and learn when you are offline. You can also download Chapter Coordinate Geometry class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 7 in PDF Format

- Class 10 Maths Chapter 7 Exercise 7.1 Solutions in English
- Class 10 Maths Chapter 7 Exercise 7.2 Solutions in English
- Class 10 Maths Chapter 7 Exercise 7.3 Solutions in English
- Class 10 Maths Chapter 7 Exercise 7.4 Solutions in English
- Class 10 Maths Chapter 7 Exercise 7.1 Solutions in Hindi
- Class 10 Maths Chapter 7 Exercise 7.2 Solutions in Hindi
- Class 10 Maths Chapter 7 Exercise 7.3 Solutions in Hindi
- Class 10 Maths Chapter 7 Exercise 7.4 Solutions in Hindi
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## NCERT Solutions for Class 10 Maths Chapter 8– Introduction to Trigonometry

You can get here NCERT Solutions for class 10 maths chapter 8 provided by the maths teacher. All solutions in these NCERT solutions for class 10 maths chapter 8 Introduction to Trigonometry are well explained in step by step method. There are four topics in Class 10 Maths NCERT Chapter 8– Introduction to Trigonometry which covers Trigonometric ratios of an acute angle, a right-angled triangle, Values of the trigonometric ratios of 30, 45 and 60, Relationships between the ratios and Trigonometric ratios of complementary angles etc. Student can also download FREE NCERT solutions for class 10 maths Introduction to Trigonometry PDF here unlimited. And can share these PDFs to their friends. You can also download Chapter Introduction to Trigonometry class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 8 in PDF Format

- Class 10 Maths Chapter 8 Exercise 8.1 Solutions in English
- Class 10 Maths Chapter 8 Exercise 8.2 Solutions in English
- Class 10 Maths Chapter 8 Exercise 8.3 Solutions in English
- Class 10 Maths Chapter 8 Exercise 8.4 Solutions in English
- Class 10 Maths Chapter 8 Exercise 8.1 Solutions in Hindi
- Class 10 Maths Chapter 8 Exercise 8.2 Solutions in Hindi
- Class 10 Maths Chapter 8 Exercise 8.3 Solutions in Hindi
- Class 10 Maths Chapter 8 Exercise 8.4 Solutions in Hindi
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## NCERT Solutions for Class 10 Maths Chapter 9 – Some Applications of Trigonometry

Student can easily get FREE NCERT Solutions for class 10 maths chapter 9 here. All sums are well explained and solved with an easy method so that 10th class student can clear all doubts. There is only one topic in this NCERT solutions for class 10 maths chapter 9 Some Applications of Trigonometry. The first-time student learns about the new topic Trigonometry in this class 10. Here in this in Class 10 Maths NCERT Chapter 9– Some Applications of Trigonometry you will learn to study the applications of trigonometry, its uses in geography, navigation, determining the position of an island, determining the position of an island, line of sight, angle of elevation, angle of depression etc. Student can also download unlimited FREE NCERT solutions for class 10 maths Some Applications of Trigonometry PDF here and can learn these PDFs anytime. You can also download Chapter Some Applications of Trigonometry class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 9 in PDF Format

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

Find the best NCERT Solutions for class 10 maths chapter 10 here with free of cost. As you have learned about the circle, chord, segment, arc etc. in your early classes. But in this chapter, NCERT solutions for class 10 maths chapter 10 Circles students will study the different situations of when circle and a line given in a plane. There are two topics in this chapter which covers: the tangent at any point of a circle, The lengths of tangents of the circle which are drawn from an external point etc. There are FREE NCERT solutions for class 10 maths Circles PDF also available. You can practice with these PDFs anytime. And you can also download Chapter Circles class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 10 in PDF Format

- Class 10 Maths Chapter 10 Exercise 10.1 Solutions in English
- Class 10 Maths Chapter 10 Exercise 10.2 Solutions in English
- Class 10 Maths Chapter 10 Exercise 10.1 Solutions in Hindi
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## NCERT Solutions for Class 10 Maths Chapter 11 – Constructions

Here you can download NCERT Solutions for class 10 maths chapter 11 here without any registration. Here you have learned about construction and if you learn the concept of constructions in earlier classes will also help you. In this NCERT solutions for class 10 maths, chapter 11 Constructions the topics covers are Division of a line segment in a given ratio, Tangents to a circle from a point outside it, Construction of a triangle etc. There are two topics in this chapter.

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### Free NCERT Solutions for Class 10 Maths Chapter 11 in PDF Format

- Class 10 Maths Chapter 11 Exercise 11.1 Solutions in English
- Class 10 Maths Chapter 11 Exercise 11.2 Solutions in English
- Class 10 Maths Chapter 11 Exercise 11.1 Solutions in Hindi
- Class 10 Maths Chapter 11 Exercise 11.2 Solutions in Hindi
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## NCERT Solutions for Class 10 Maths Chapter 12 – Areas Related to Circles

You can download NCERT Solutions for class 10 maths chapter 12 here. All solutions are well solved by professional math teachers. Here in this NCERT solutions for class 10 maths chapter 12 Areas Related to Circles, you will learn about concepts of perimeter and area of a circle. There are three topics covered in this chapter. It covers topics such as the area of a circle, area of sectors and segments of a circle, the circumference of the plane figures including involving triangles, circle, simple quadrilateral etc. Download here unlimited FREE NCERT solutions for class 10 maths Areas Related to Circles PDF. And you can learn with these PDFs while you are offline. And you can also download Chapter Constructions class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 12 in PDF Format

- Class 10 Maths Chapter 12 Exercise 12.1 Solutions in English
- Class 10 Maths Chapter 12 Exercise 12.2 Solutions in English
- Class 10 Maths Chapter 12 Exercise 12.3 Solutions in English
- Class 10 Maths Chapter 12 Exercise 12.1 Solutions in Hindi
- Class 10 Maths Chapter 12 Exercise 12.2 Solutions in Hindi
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## NCERT Solutions for Class 10 Maths Chapter 13 – Surface Areas and Volumes

You can find there are a total of five exercises in this NCERT Solutions for class 10 maths chapter 13. Here you can learn about finding the surface area of cuboid, cone, sphere, cylinder and hemisphere etc. From this NCERT solutions for class 10 maths chapter 13 Surface Areas and Volumes, you can get overall knowledge about Surface areas and volumes of combinations of any object. Topic covered in this chapters is Surface areas and volumes of cubes, cuboids, spheres, hemispheres, cones, and right circular cylinders, Problems with combinations of not more than two different solids etc. Download FREE NCERT solutions for class 10 maths Surface Areas and Volumes PDF for offline study. And you can share these PDFs to your friend also. And you can also download Chapter Surface Areas and Volumes class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 13 in PDF Format

- Class 10 Maths Chapter 13 Exercise 13.1 Solutions in English
- Class 10 Maths Chapter 13 Exercise 13.2 Solutions in English
- Class 10 Maths Chapter 13 Exercise 13.3 Solutions in English
- Class 10 Maths Chapter 13 Exercise 13.4 Solutions in English
- Class 10 Maths Chapter 13 Exercise 13.5 Solutions in English
- Class 10 Maths Chapter 13 Exercise 13.1 Solutions in Hindi
- Class 10 Maths Chapter 13 Exercise 13.2 Solutions in Hindi
- Class 10 Maths Chapter 13 Exercise 13.3 Solutions in Hindi
- Class 10 Maths Chapter 13 Exercise 13.4 Solutions in Hindi
- Class 10 Maths Chapter 13 Exercise 13.5 Solutions in Hindi
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## NCERT Solutions for Class 10 Maths Chapter 14 – Statistics

Get here all exercises of NCERT Solutions for class 10 maths chapter 14 with free of cost. Here you will learn about the numerical representation of ungrouped data to grouped data and how to find its Mean, Mode and Median. This NCERT solutions for class 10 maths chapter 14 Statistics covers cumulative frequency, cumulative frequency distribution, draw cumulative frequency curves, Cumulative frequency graph etc. Download FREE NCERT solutions for class 10 maths Statistics PDF, while you are offline, you can study with these PDFs. There are no limitations of downloading PDFs, and also you can share solution PDFs to your friend also. Just click the links and get all exercise solutions. This chapter covers four topics. And you can also download Chapter Statistics class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 14 in PDF Format

- Class 10 Maths Chapter 14 Exercise 14.1 Solutions in English
- Class 10 Maths Chapter 14 Exercise 14.2 Solutions in English
- Class 10 Maths Chapter 14 Exercise 14.3 Solutions in English
- Class 10 Maths Chapter 14 Exercise 14.4 Solutions in English
- Class 10 Maths Chapter 14 Exercise 14.1 Solutions in Hindi
- Class 10 Maths Chapter 14 Exercise 14.2 Solutions in Hindi
- Class 10 Maths Chapter 14 Exercise 14.3 Solutions in Hindi
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## NCERT Solutions for Class 10 Maths Chapter 15 – Probability

In this last NCERT Solutions for class 10 maths chapter 15, you learn about Probability, at the beginning of the chapter, you will learn the definition of probability. There are two exercises in this chapter. NCERT solutions for class 10 maths chapter 15 Probability covers the concept of probability, Simple problems on finding the probability of an event, the difference between experimental probability and theoretical probability etc. Download here FREE unlimited NCERT solutions for class 10 maths Probability PDF, and enjoy the flexible learning at any time. Each and every solution are well solved to be the experienced maths teacher. Here students can also download Chapter Probability class 10 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 10 Maths Chapter 15 in PDF Format

- Class 10 Maths Chapter 15 Exercise 15.1 Solutions in English
- Class 10 Maths Chapter 15 Exercise 15.2 Solutions in English
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### How to Prepare Class 10Maths All Chapters

#### Chapter 1: Real Numbers

In this NCERT Solutions for Class 10 Maths Chapter 1, Real Numbers, students learn about the “Real Numbers “In mathematics language, there are two kinds of numbers- one is the “real number”, and another one is the “imaginary number”. In the number system, Real numbers are just the combination of rational and irrational numbers. These can be represented in a number line. And where the imaginary numbers are the unreal numbers, theses cannot be expressed in the number line which is used to represent a complex number. A real number can be a positive or negative and which are denoted by the symbol “R”.

**Summary:** Definition, Set of real numbers, Chart, Properties, Commutative, Distributive, and Identity.

#### Chapter 2: Polynomials

In this NCERT Solutions for Class 10 Maths Chapter 2, Polynomials, you learn about Polynomials which are as expressions composed of two algebraic terms. Polynomials contain two or more algebraic terms. Poly means many and Nominal means term. Polynomials are composed as Constants such as 1, 2, 3, etc., Variables such as g, h, x, y, etc., Exponents such as 3in x3 etc. And here you also learn the degree of a polynomial is defined as the highest degree of a monomial within a polynomial. Polynomials are of 3 different types such as Monomial, Binomial, Trinomial etc. And Polynomial Properties and Theorems are explained in this chapter.

**Summary:** Definition, Degree, Terms, Types, Properties and Theorems, Equations, Function, Solving Polynomials, Operations etc.

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

In this NCERT Solutions for Class 10 Maths Chapter 3, Pair of Linear Equations in Two Variables, student learn about Pair of Linear Equations with the form ax + by + c = 0, In this equation a, b and c are real numbers and where a, b not equal to zero then this equation is known as linear equation in two variables. Here you also learn about Linear Equations in Two Variables Word Problems.

**Summary:** Definition, Linear Equations Formula, Linear Equations in Two Variables Example, Linear Equations in Two Variables Word Problems etc.

#### Chapter 4: Quadratic Equations

In this NCERT Solutions for Class 10 Maths Chapter 4, Quadratic Equations, You learn about Quadratic Equations, the name Quadratic comes from “quad” Meaning Square, as the variable gets squared (like x2). Quadratic Equations is also called an “Equation of Degree”. The Standard Form of a Quadratic Equation looks is like: Quadratic Equation: ax2 + bx + c = 0, where a, b and c are known values. “a” can’t be 0.

**Summary:** Definition, Hidden Quadratic Equations, Using the Quadratic Formula, Complex Solutions,

#### Chapter 5: Arithmetic Progression

In this NCERT Solutions for Class 10 Maths Chapter 5, Arithmetic Progression, You learn about Arithmetic Progression which is also known as “AP”. It is an order of the difference of any two successive numbers is a constant value. Here you can see a common difference odd numbers and even numbers. You come across Arithmetic progression in this chapter.

**Summary:** Definition, Common Difference, First Term, General Form, Nth Term, Sum of Nth Term, Formula List etc.

#### Chapter 6: Triangles

Here in this NCERT Solutions for Class 10 Maths Chapter 6, Triangles, the student can learn about “Triangles “ which have a three-sided polygon that consists of 3edges and three vertices. A triangle is a type of polygon. Here you also learn about property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees etc. Triangles are of 6 types. Learn about its properties, Heron’s Formula to find the area, various formulas such as perimeter and area defined for the triangle.

**Summary:** Definition, Types of Triangles, Properties of Triangle, Pythagoras Theorem, Triangle Formula.

#### Chapter 7: Coordinate Geometry

Here in this NCERT Solutions for Class 10 Maths Chapter 7, Coordinate Geometry student learn about Coordinate Geometry which describes the link between geometry and algebra by the use of graphs, curves and lines. You can solve geometric problems with geometric aspects in Algebra. Coordinate geometry is defined as the study of geometry by using the coordinate points. You can find the distance between two points, dividing lines, midpoints, area of triangle etc.

**Summary:** Coordinate Geometry Definition, Distance Formula, Mid-Point Theorem, Section Formula, Equation of a Line in Cartesian Plane, Coordinate Geometry Formulas and Theorems etc.

#### Chapter 8: Introduction to Trigonometry

Here in this NCERT Solutions for Class 10 Maths Chapter 8, Introduction to Trigonometry, you study about the complete concept on trigonometry. Here you learn all about Trigonometric Ratios, Opposite & Adjacent Sides in a Right Angled Triangle, Trigonometric Ratios, Visualization of Trigonometric Ratios Using a Unit Circle, Relation between Trigonometric Ratios, Range of Trigonometric Ratios from 0 to 90 degrees such as tanθ and secθ are not defined at 90∘.

cotθ and cosecθ are not defined at 0∘. And also know sin (90∘−θ) = cos θ,cos (90∘−θ) = sin θ, tan (90∘−θ) = cot θ and many more.

**Summary:** Introduction to Trigonometry, Trigonometric Ratios, Visualization of Trigonometric Ratios Using a Unit Circle, Relation between Trigonometric Ratios, Trigonometric Ratios of Specific Angles etc.

#### Chapter 9: Some Applications of Trigonometry

Here in this NCERT Solutions for Class 10 Maths Chapter 9, Some Applications of Trigonometry, you study about “Trigonometry” which is defined as calculations with triangles including the study of lengths, heights, and angles. The function of Trigonometry is used in our daily life, such as distance between landmarks, astronomy to the measurement of the satellite navigation system. Trigonometry is used in many fields such as engineering, physics, surveyors, architects, astronauts. And most interesting, trigonometry is also used in developing computer music.

**Summary:** What is Trigonometry, Trigonometry Applications in Real Life, Trigonometry to Measure Height of a Building or a Mountain, Trigonometry in Aviation, Trigonometry in Criminology, and Trigonometry in Marine Biology etc.

#### Chapter 10: Some Applications of Circles

In this NCERT Solutions for Class 10 Maths Chapter 10, Some Applications of Circles, you learn about the circle which is a special kind of ellipse in which the eccentricity is zero and also circle is drawn the points at an equidistant from the centre, distance from the center of the circle is known as the radius and twice of the radius is known as diameter. The circle has rotational symmetry around the centre for every angle. Annulus, Arc, Sector, Segment, Centre, Chord, Diameter, Secant, Tangent are the terminologies of the circle.

**Summary:** Circle Definition, How to draw a circle, Circles Terminologies, Circle Formulas for Area and Circumference, Circle Area Proof, Properties of Circles etc.

#### Chapter 11: Construction

In this NCERT Solutions for Class 10 Maths Chapter 11, Construction, You can learn about how to construct the division of the line segment, constructions of tringles by the use of scale factor, construction of tangents to a circle. And know how to Dividing a Line Segment such as: Bisecting a Line Segment, Constructing a Similar Triangle with a scale factor, Drawing Tangents to a Circle, Number of Tangents to a circle, Drawing tangents to a circle from a point outside the circle etc. By well practice this chapter “Construction”, you will learn how to construct the various diagram.

**Summary:** Constructions, Drawing Tangents to a Circle, Similar Triangle with a scale factor Constructions, Construction Procedure etc.

#### Chapter 12: Areas Related to Circles

In this NCERT Solutions for Class 10 Maths Chapter 12, Areas Related to Circles, You can get the full knowledge about Areas Related to Circle such as circumference, segment, sector and angle etc. Area of a circle is πr2, where π=22/7. π is the ratio of the circumference of a circle to its diameter. Here you can learn about the area for the sector of a circle.

**Summary:** Area of a Circle, Circumference of a circle, the segment of a circle, The angle of a Sector, Area of a Sector of a Circle, Area of a Segment of a Circle etc.

#### Chapter 13: Surface Areas and Volumes

In this NCERT Solutions for Class 10 Maths Chapter 13, Surface Areas and Volumes, you study the concept of surface area and volume. Here you learn all shapes of the circle: cube, cuboid, cone, cylinder, and etc. The procedure to find the volume and its surface area and the combination of different solid shapes is also learned in this chapter.

**Summary:** Cuboid and it’s Surface Area, Cube and its Surface Area, Cylinder and it’s Surface Area, Right Circular Cone, and it’s Surface Area, Sphere and its Surface Area, Volume of a Cuboid etc.

#### Chapter 14: Statistics

In this NCERT Solutions for Class 10 Maths Chapter 14, Statistics, you study here about Statistics which is the study of the collection, interpretation, presentation, analysis etc. Mathematical statistics is the application of Mathematics to Statistics, and this is used in collection & analysis of facts about a country such as economy, and, military, population etc. In this chapter, you can also learn about: linear algebra, stochastic analysis, differential equation etc.

**Summary:** Scope, Methods, Types of Data, Types of quantitative data, Types of Statistics, Application, Statistics Examples etc.

#### Chapter 15: Probability

In this NCERT Solutions for Class 10 Maths Chapter 14, Probability, student get knowledge of Probability which means possibility in the occurrence of a random event. Probability has been introduced to find out how events are to happen prediction. The basic probability theory is also used in the probability distribution. Here you learn the possibility of outcomes for a random experiment.

**Summary:** Definition, Formula, Examples, Equally Likely Events, Probability Density Function, Solved Problems etc.

### Importance of Learn NCERT Solutions for Class 10 Maths from Tiwari Academy

**NCERT Solutions for Class 10 Maths from Tiwari Academy** are designed by the expert math teacher who has many years of experiences. It provides more benefits to the class 10 students by providing topic-wise and chapter-wise detailed knowledge with an easy method. There are also many other important to learn NCERT Solutions for Class 10 Maths from us. Let us discuss below:

#### 1. Strengthens Your Basics

All chapter of class 10 maths solutions are well designed by our experienced and professionals math experts. All topic-wise and chapter-wise answers are thoroughly researched and reviewed. Student can get more marks in their Board exam or in any competitive exam by using these solutions.

#### 2. A Quick and Effective Revision Tool

NCERT solutions are created in such a manner that help students in the event of queries or doubts in a proper way. NCERT book is handy during exam preparation as it is the best quick and effective revision tool for your board exam.

#### 3. Develops an Ability of Student to Solve Sums

All Maths solutions are well explained comprehensively, along with relevant and easy to understand examples. Student can have an idea of how to solve sums with step by step instructions.

#### 4. Increases Student’s Confidence

All maths solutions are provided with proper illustrations and examples. It helps build a conceptual understanding of all exercises by providing sufficient cases, and if the student gets practise well before the exam, then they can have high confidence.

### What will be the Exam pattern of CBSE Class 10 Maths in 2020?

Exam pattern of CBSE Class 10 Maths in 2020 is like:

- Tests (PT) for 10 marks, Notebook Submissions for 5 marks and Subject Activities for 5 marks each.
- The theory Math is for 80 marks.
- The duration for each paper varies from 2 to 3 hours.
- The minimum percentage for a pass is 33%.

**Class 10th Chapter-wise Marks Weightage**

Unit |
Title |
Weightage |

1 | Number System | 06 |

2 | Algebra | 20 |

3 | Co-ordinate Geometry | 06 |

4 | Geometry | 15 |

5 | Trigonometry | 12 |

6 | Mensuration | 10 |

7 | Statistics And Probability | 11 |

Total Marks |
80 |

#### How Class 10 Maths Solutions of NCERT Helpful for Board Exams?

Class 10 Maths Solutions of NCERT is very helpful for Board Exams as all the questions for Basic Mathematics were picked directly from NCERT textbooks. These solutions are well designed by the experienced maths teacher. You can find many examples related the topics so that student can clear all concepts. It is a perfect guide to help you to score good marks in Board Exams. All solutions are based on the latest CBSE syllabus.

## FAQs

### Which is the best book for Class 10 Maths Basic and Standard?

There is no separate books for class 10 Math Standard and Basic. NCERT textbook for 10th Maths 2022-2023 is the only book for both the courses and it is the best reference book which clear all the concept of all sums. This book is best to practice Mathematics for the CBSE Board Exam also. Keep in mind that the question paper of the board examination is based on NCERT textbook only, so do practice NCERT book thoroughly to score better in exams.

### How to make CBSE Class 10 Maths Exam Easy?

The Central Board of Secondary Education (CBSE) is all set to provide the best combination of easy and difficult question to test all type of the students. Class 10th Maths paper is also good to score better but little bit difficult to score maximum. So, CBSE Class 10 Maths Exam is neither too easy nor to tough.

### Which Textbook is enough for Class 10 Maths Boards Examination?

NCERT is the best study material among all reference books which help you get 90+ marks in board exam. If you have completed the NCERT textbook, must see the questions of NCERT Exemplar books also. Later on go through some practice papers and practice some sums of RD Sharma to enhance your marks, if required.

### How to solve the toughest Chapters In Class 10 Maths?

Most of the chapters in NCERT Textbook 2022-2023 are easy to solve for even an average student. Only few chapters are there which is considered as difficult one. The students found difficulty in some chapters in Class 10 Maths syllabus such as:

- Circle
- Triangles
- Trigonometry
- Application of trigonometry
- Surface area and volume

But doing practice well these above chapters then you can feel easier than before. Make sure you revised these difficult topics about 3-4 times before the exam.

### Are the standard of CBSE 10th Maths Papers little bit higher than the usual school papers?

The question papers in CBSE Board exams are design in such a way, it is good for all type of students. The pattern of 10th Standard Board Examination is very simple to do and very easy to understand. But most of the people may misguide you a fear unnecessarily and do practice all the syllabus thoroughly, and you definitely score optimum marks in Class 10 Board Exam.