**NCERT Solutions for Class 10 Maths from Chapter 1 to 15**

**NCERT Solutions of all chapters of Maths** **for Class 10** are given here from **chapters 1 to 15** to help the students in their compelling groundwork for the CBSE board exam. The expert workforce at **future study points** set up these** NCERT Solutions of** **Maths for class 10** for the activity astute issues subsequent to gaining inside and out information overall ideas. Students would now be able to tackle any problems from the **NCERT** textbook by alluding to** NCERT Solutions**. The principle reason to make such an asset for students is to help them self dissect their territories of shortcomings and furthermore to assist them with taking care of problems of higher trouble level in a proficient manner.

The most astounding method where the student can plan for their forthcoming exam is to ensure that they are intensive with the ideas, and they have the advantage of exact examination materials. Students no longer need to burn through their time and exertion in finding the Solutions of NCERT textbook studying of maths as we, at Future Study Point have given the Solutions to free underneath. The NCERT Solutions of maths for Class 10 is, without a doubt, packed with all the fundamental logical clarifications that the students need to handle.

The NCERT study material of maths chapter from 1 to 15 for Class 10 depends on the exercises present in the NCERT textbooks, guaranteeing that the students need to free the essential ideas from the relevant topic with the problem identified with the NCERT maths. .Frequent repetitions of these N.C.R.T Solutions would assist students with picking up confidence in tackling the various sorts of problems that may show up in the CBSE board exam.

**Download PDF for class 10 solutions of last year’s maths question papers**

In addition to NCERT Solutions students can get to specific examination materials like sample papers, guess paper and previous year question( Link) for accomplishing A+ grade. Additionally, Solutions for Class 10 Sample Papers can be practiced regularly by the students to get acquainted with the question paper designs and various kinds of questions that may be posed in the CBSE board exam.

Practicing solutions of various kind of questions fundamentally improve critical thinking aptitudes of the students, which are needed from the examination perspective.

**Study notes of Maths and Science NCERT and CBSE from class 9 to 12**

**NCERT Solutions of class 10 maths**

**CBSE Class 10-Question paper of maths 2021 with solutions**

**CBSE Class 10-Half yearly question paper of maths 2020 with solutions**

**CBSE Class 10 -Question paper of maths 2020 with solutions**

**CBSE Class 10-Question paper of maths 2019 with solutions**

### Here you can find the NCERT Solutions for Class 10 Maths of each following Chapters

**Chapter 1-Real number**

**Chapter 2 –Polynomial**

**Chapter 3-Pair of linear equation in 2 variable**

**The chapter 4-Quadratic equation**

** 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 – Areas Related To Circles **

**Chapter 13 – Surface Areas And Volumes **

**Chapter 14. Statistics**

** Chapter 15 – Probability **

**NCERT Solutions for Class 10 Maths **

**Chapter 1-Real number: **

NCERT Solutions of chapter-1 assists students in understanding the divisibility of integers and some important properties of integers like Euclid’s division lemma, Euclid’s division algorithm, and the Fundamental Theorem of Arithmetic. The NCERT solutions of chapter-1 assist students with finding the correct strategy and alternate methods in tackling the problems following the most recent CBSE guidelines.

Here links are given to the chapter wise solutions for unsolved questions of chapter 1-Real number.

**NCERT Solutions for Class 10 Maths**

**Chapter 2 –Polynomial: **

Chapter 2 of the NCERT Maths textbook has questions based on concepts of zeroes of the quadratic or linear polynomial, the geometric meaning of their zeros, and the relationship between the zeros and coefficients of a polynomial. Our faculty at Future Study Point has explained all these concepts in an interactive manner to help students perform well in the exam.

This chapter contains three exercises and a solutions link is given below.

**NCERT Solutions for Class 10 Maths**

**Chapter 3-Pair of linear equation in 2 variable: **

The 3rd chapter of NCERT Solutions contains problems based on systems of linear equations in two variables, solution of a system of linear equations in two variables, graphical and algebraic methods of solving a system of linear equations in two variables as well as their applications. The standard form of a pair of linear equations is ax +by +c = 0 ,px +qy +r=0.All these NCERT solutions are explained beautifully in simple language which matches the understanding capabilities of class 10 students to enhance their preparations for the CBSE Board 2020-21.

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Here, we have solved those questions of chapter 3 which are most difficult in the chapter, the link is given below.

**NCERT Solutions for Class 10 Maths**

**The chapter 4-Quadratic equation:**

In this exercise, the questions are based on the quadratic polynomial, the relationship is derived by the trends of a variable and we get the resulting quadratic polynomial that can be solved by different methods discussed in the chapter. The quadratic equation is used widely in science and technology, business, and economics. The standard form of the quadratic equation is ax² +bx +c = 0.The link of the solution of important questions of chapter 4-Quadratic equations is given below.

**Chapter 4- Quadratic equations**

**NCERT Solutions for Class 10 Maths**

** Chapter 5 – Arithmetic ****Progression: **

Arithmetic Progression is the chapter, based on the sequence that is a selection of terms in a series proceeded by a definite order known as common difference, the questions are based on n^{th} term of the sequence, sum of n terms. The link of exercise-wise solutions is given below.

**Chapter 5-Arithmetic Progression**

**NCERT Solutions for Class 10 Maths**

** Chapter 6 – Triangles:**

In this chapter, students will study the questions based on the Basic proportionality theorem, criteria of similarity of two triangles, and the questions based on quadrilaterals. The links of the complete NCERT solutions of the chapter is given below.

**NCERT Solutions for Class 10 Maths**

**Chapter 7 – Coordinate Geometry:**

Chapter 7 of NCERT textbook comprises 5 exercise questions covering key concepts like the distance between two points in a cartesion plane, sections formulae and its applications, collinearity of points and area of triangle and quadrilateral. Methods used in solving problems along with shortcut tips are well highlighted to help students boost their exam preparations.

The solution links for the exercise wise problems of this chapter are as follows:

**Chapter 7- Co-ordinate geometry**

**NCERT Solutions for Class 10 Maths**

**Chapter 8-Introduction to trigonometry:**

In this chapter, the students will learn the ratio between sides of a right triangle with different trigonometric functions and use them to prove other useful trigonometric identities. Future study point has made solutions for the exercise questions after conducting wide research on each concept. Further students can use these solutions when solving the chapter-wise problems.

Students can access the exercise-wise solutions of chapter 6 from the links provided below.

**Chapter 8-Trigonometry** (important questions of NCERT)

**NCERT Solutions for Class 10 Maths**

**Chapter 9 – Some Applications Of Trigonometry Solution:**

The important concepts based on trigonometric results are explained in an easy and understandable language in this chapter. The main topic on which the problems are created is regarding heights and distances. Chapter 9 has only one exercise and its solution link is given below

**Chapter 9-Some application of Trigonometry**

**NCERT Solutions for Class 10 Maths**

**NCERT Class 10 Maths Chapter 10 – Circles :**

The 10th chapter of NCERT maths gives students the concepts of the secant of a circle and tangent to a circle along with their properties. Additionally, problems including circle, triangle, and quadrilateral are tested in the exercise problems. The students referring to the solutions will get an idea about the steps involved in solving the problems.

This chapter has 2 exercises and the solutions links are available below.

**NCERT Solutions for Class 10 Maths**

** Chapter 11 – Constructions :**

Chapter 11 will help students gain knowledge about constructing a triangle similar to a given triangle and tangents to a circle. The solutions PDF can be downloaded for free by the students who wish to master the steps of these constructions.

The solutions links of all the three exercises in this chapter are given below.

**NCERT Solutions for Class 10 Maths**

** Chapter 12 – Areas Related To Circles **

Students can now access the chapter-wise solutions of RD Sharma textbook prepared according to the latest CBSE guidelines. This chapter deals with finding the area of circular regions and two special parts of the circular region known as sector and segment of a circle. The students can self assess their knowledge about the entire chapter by solving problems using the solution PDF.

All four exercise problems of this chapter are solved by subject experts and the solution links are attached below.

**Chapter 12-Area related to circle**

**NCERT Solutions for Class 10 Maths**

** Chapter 13 – Surface Areas And Volumes :**

In this chapter, we shall discuss problems on the conversion of one of these solids into other as well as finding the surface areas and volumes of a combination of two or more such solids. The solutions are well-explained in an interactive manner to make the subject more understanding and easier for students.

Students can hereby access the solutions of 5 exercises from the links provided below.

**Chapter 13-Surface areas and Volume**

**NCERT Solutions for Class 10 Maths**

** Chapter 14. Statistics:**

NCERT Solutions for Class 10 Maths Chapter 14 Statistics are given here, which can be downloaded from the link given below in the form of PDF for the offline study. The Solutions for chapter 14 Statistics are set up by our specialists who have done their specialization in Maths.

All the questions of Statistics are concerning the NCERT textbook and are solved as per the CBSE guidelines, Our purpose is to assist students with settling each question of exercises and prepare them for the CBSE Board exam. These solutions as a tool will be useful for the students to score great marks. Students can likewise get the solutions of all chapters for Class tenth Maths and practice sample papers and previous years question papers.

**Charts and Graphs in Statistics**

**MEAN,MODE AND MEDIAN NCERT 10 & 11 CLASS CBSE**

**NCERT Solutions for Class 10 Maths**

** Chapter 15 – Probability :**

There is always a degree of certainty or uncertainty about what has happened or going to happen. This leads to finding the probability of an occurrence of an event. By using PDF of solutions, students will get a quick overview of the concepts which are detailed under each exercise. It’s also a great help for students to practice problems on a daily basis.

This chapter has two exercises and the solutions link are provided here.

**Important Maths Notes**:

The maths notes written by an expert teacher are presented here for you with the purpose of recalling the contents you have studied in previous years. The study of these maths notes will clear your basic concept of mathematics.

**How to write linear equations: **

It is a supplementary note for the students to clear their concept in creating a linear equation by the given statement in the questions. The concept of building the equations in one variable and two variable is well explained by the expert will help all the students in solving the algebraic question on one and two-variable linear equations.

The link for Tricks-How to write linear equations is given below.

**Tricks – How to write linear equations**

**Tricks-How to solve question from algebraic equations:**

The linear equations and quadratic equations are the important part of algebra, here you will learn how to build linear equations in two variable and quadratic equations through the given statement of algebraic problems.

The link for Tricks-How to solve questions from algebraic equations is given below.

**Tricks- How to solve question from algebraic equations**

**Mean, Mode and Median**

This is the note written by the expert for the purpose of clearing the concept of mean, mode, and median which are the measurement of central tendency. The mean, mode, and median represent the tendency of the statistical data that is used to predict the future consequences of experimental activity in business, accounting, science and technology, and economics, etc.

The link for Mean, Mode, and Median is given bellow.

**Solutions-Specific questions of Mensurations:**

Mensuration is the branch of mathematics in which area and volumes of different two-dimensional and three-dimensional geometrical figures are studied as an example area and volumes of the cube, cuboid, cylinder, cone, and sphere, and other combined figures. Here the solutions of a few selected specific questions are given for the purpose of helping you in the preparation of CBSE board exams.

The link for Solutions-Specific questions of mensuration is given bellow.

**Solutions- Specific questions of mensuration**

**Finding the roots of the polynomial by the complete square method:**

The complete square method of solving quadratic equations is one of the ways of solving quadratic equations. Here this method of solving quadratic questions is well explained by the expert in a simple way, so once you go through the whole post you can easily understand it.

The link for Finding the roots of the polynomial by the complete square method is given below.

**Finding the roots of the polynomial by Complete square method**

**Technics of achieving 100% marks in Maths:**

Mathematics is a subject in which students can get 100 percent marks easily in comparison to other subjects but for achieving 100 percent marks the students are required to study and revise their textbook regularity and practice extra questions of previous question papers and updated sample papers for the current board exam. Here few technics of achieving 100 percent marks in maths are given that will definitely help the students in achieving 100 percent marks in maths subject.

The link for achieving hundred percentage marks in maths is given bellow.

**Technics – Achieving 100% marks in Maths**

**Class X Most Important questions of maths: **

Here class X most important questions of maths are given which will help the students for their preparation of the board exam. The questions are taken from previous year question papers, sample papers and guess papers, and NCERT textbook of maths.

The link for class X most important questions of maths is given bellow.

**Class X Most important questions of Maths**

**Solutions-Class X Most Important questions of 3-4 marks: **

The questions of 3-4 marks in the question paper are always 70 percent of total marks, so the practice of 3-4 marks questions is required little more attention.

The link for Solutions-Class X Most important questions of 3-4 marks is given below.

**Solutions-class X Most important questions of 3-4 marks**

**NCERT Solutions Class 10 Science from chapter 1 to 16**

**NCERT Solutions of Maths and Science**

**NCERT Solutions of class 9 maths**

Chapter 1- Number System | Chapter 9-Areas of parallelogram and triangles |

Chapter 2-Polynomial | Chapter 10-Circles |

Chapter 3- Coordinate Geometry | Chapter 11-Construction |

Chapter 4- Linear equations in two variables | Chapter 12-Heron’s Formula |

Chapter 5- Introduction to Euclid’s Geometry | Chapter 13-Surface Areas and Volumes |

Chapter 6-Lines and Angles | Chapter 14-Statistics |

Chapter 7-Triangles | Chapter 15-Probability |

Chapter 8- Quadrilateral |

**NCERT Solutions of class 9 science **

**CBSE Class 9-Question paper of science 2020 with solutions**

**CBSE Class 9-Sample paper of science**

**CBSE Class 9-Unsolved question paper of science 2019**

**NCERT solutions of class 10 science**

**Solutions of class 10 last years Science question papers**

**CBSE Class 10 – Question paper of science 2020 with solutions**

**CBSE class 10 -sample paper of science**

**NCERT solutions of class 11 maths**

Chapter 1-Sets | Chapter 9-Sequences and Series |

Chapter 2- Relations and functions | Chapter 10- Straight Lines |

Chapter 3- Trigonometry | Chapter 11-Conic Sections |

Chapter 4-Principle of mathematical induction | Chapter 12-Introduction to three Dimensional Geometry |

Chapter 5-Complex numbers | Chapter 13- Limits and Derivatives |

Chapter 6- Linear Inequalities | Chapter 14-Mathematical Reasoning |

Chapter 7- Permutations and Combinations | Chapter 15- Statistics |

Chapter 8- Binomial Theorem | Chapter 16- Probability |

**CBSE Class 11-Question paper of maths 2015**

**CBSE Class 11 – Second unit test of maths 2021 with solutions**

**NCERT solutions of class 12 maths**

Chapter 1-Relations and Functions | Chapter 9-Differential Equations |

Chapter 2-Inverse Trigonometric Functions | Chapter 10-Vector Algebra |

Chapter 3-Matrices | Chapter 11 – Three Dimensional Geometry |

Chapter 4-Determinants | Chapter 12-Linear Programming |

Chapter 5- Continuity and Differentiability | Chapter 13-Probability |

Chapter 6- Application of Derivation | CBSE Class 12- Question paper of maths 2021 with solutions |

Chapter 7- Integrals | |

Chapter 8-Application of Integrals |

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