# NCERT Solutions for Class 10 Maths

Aakash offers solved NCERT Solutions for Class 10 Maths prepared by the Senior and Experienced Faculty. Aakash NCERT Solutions for Maths are prepared keeping in mind the need of students to practice extensively for their board exams. This ultimately helps them to get excellent marks in their board examination.

In Aakash NCERT Solutions for Class 10, we have included all topics, all exercises of all 15 chapters in the Maths NCERT book. With the solutions provided, a detailed analysis and explanation is also provided to help students brush up their technique of attempting the same question using 2-3 methods. The language adopted is easy and simple and the solutions provided are explained step by step thus making it simple for students to grasp the solutions.

Apart from CBSE NCERT Solutions for Class 10 Maths, Aakash has also released in PDF of Class 10 NCERT Solutions All Subjects.

In NCERT Solutions for Maths for Class 10, we have covered all bits and pieces of all chapters to make sure nothing is left to practice for the students. Since Maths is all about solutions, each question solved has a step by step process mentioned to reach the answer. This gives students an idea of the formulas and equations to be used for certain kinds of questions. Through Aakash NCERT Solutions, students will get an idea about how to solve the problems. Basic concepts is what we try and inculcate into a student’s Maths Practice Session. For Class X students, Aakash NCERT Solutions for Maths PDF is a perfect guide to help you to score excellent marks in CBSE board examination.

## NCERT Solutions for Class 10 Maths- Chapter-Wise

### Chapter 1 Real Numbers

Chapter 1 of Maths NCERT book is based on Real Numbers and Irrational Numbers. This chapter introduces students with the concepts involved behind real numbers and Irrational Numbers. This creates a base for their 10 Class Maths Syllabus. The chapter also majorly consists of Euclid’s Division Lemma. This fundamental theorem is used to calculate the HCF of two positive integers. The other topics covered in Chapter 1- Real Numbers are Euclid’s division lemma, Fundamental Theorem of Arithmetic, Proofs of the irrationality of √2, √3, √5 Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

### Chapter 2 Polynomials

Chapter 2-Polynomials covers the definition of degree of the polynomial, linear polynomial, quadratic polynomial and cubic polynomial. The chapter has 4 exercises but the fourth exercise is provided as optional to students. The optional exercise has 5 questions which direct the students to find zeros of Polynomials. The other exercises are compulsory and require verifying the relationship between the Zeroes and the coefficients.

### Chapter 3 Pair of Linear Equations in one Variable

The chapter 3 in Maths Class 10 syllabus starts with an introduction of Linear equations and mentions the concepts behind them. This chapter has 7 exercises in total. The chapter covers topics like Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for the number of solutions. The solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method.

Chapter 4 contains a total of 4 exercises which include 24 questions. In this chapter, students will learn quadratic equations and how students can find their roots. For these students will also learn factorisation methods. The chapter states that Standard form of a quadratic equation is ax2 + bx + c = 0, (a ≠ 0).

### Chapter 5 Arithmetic Progressions

The Chapter 5 in Maths NCERT Class 10 book covers topics like Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

### Chapter 6 Triangles

The Chapter 6 in Maths NCERT Class 10 book talks about all sorts of triangles and figures which have the same shape but may not be the same in size and dimensions. Pythagoras Theorem and converse of Pythagoras Theorem is also described in detail in this chapter.

### Chapter 7 Coordinate Geometry

Find the distance between two points whose coordinates are given, and to find the area of the triangle formed by three given points. Along with this, students will also study how to find the coordinates of the point which divides a line segment joining two given points in a given ratio.

### Chapter 8 Introduction to Trigonometry

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios. Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

### Chapter 9 Some Applications of Trigonometry

Chapter 9 of Maths of Class 10 consists of Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, 60°.

### Chapter 10 Circles

This chapter is in continuation of what students have learnt about circles in previous classes. In this chapter, students will study the different circumstances that arise when a circle and a line are given in a plane. Concept of Tangent to a Circle and Number of Tangents from a Point on a Circle is explained thoroughly here in this chapter.

### Chapter 11 Constructions

The chapter 10 covers Topics like Division of a line segment in a given ratio (internally), Tangents to a circle from a point outside it, Construction of a triangle similar to a given triangle. This chapter consists of 2 exercises in total.

### Chapter 12 Areas Related to Circles

This chapter includes concepts of perimeter and area of a circle. Using these concepts, the chapter further explains how to find the area of sector and segment of a circular region. This chapter focuses on giving students the knowledge of finding the areas of some combinations of plane figures involving circles or their parts.

### Chapter 13 Surface Areas and Volume

In Chapter 13, there are a total of 5 exercises. The first exercise consists of the questions based on finding the surface area of an object formed by combining any two of the basic solids, i.e cuboid, cone, cylinder, sphere, and hemisphere. The last exercise is provided as optional and has high-level questions based on all the topics of this chapter.

### Chapter 14 Statistics

In Chapter 14, students are taught the numerical representation of ungrouped data to grouped data and finding the Mean, Mode and Median. The chapter also talks about the concept of cumulative frequency, cumulative frequency distribution, and how to draw cumulative frequency curves will be explained as well.

### Chapter 15 Probability

This is the last chapter in Class 10 Maths Syllabus. The classical definition of probability. This chapter focuses on simple problems on finding the probability of an event.

## CBSE Class 10 Maths Exam Pattern 2020-2021

Given below is the Exam pattern for CBSE Class 10 Maths Exam Pattern 2020-2021, the current session. ## CBSE Class 10 Chapter-wise marks weightage ## FAQ’s for CLASS 10 MATHS NCERT Solutions

Q. Is it necessary to read or practice the NCERT solutions for CLASS 10 MATHS?

A. NCERT books as all of us know are the base of any class, any school, board, or competitive exam for school students. In this scenario, what is needed is to have a proper understanding of the concepts behind the topics and chapters included in the NCERT syllabus of any particular class? Most of the time, students do not get it in the classroom or during self-study. In such cases, NCERT solutions act as recorded help to students looking out to clear their concepts. One can just download the PDF and consult it whenever required.

The NCERT solutions for CLASS 10 MATHS by Aakash specifically provide detailed answers for all subjects and step by step solutions for Maths. Accessing the NCERT Solutions by Aakash can give you an edge over others. Moreover, it is based on the exact syllabus which covers not only the CBSE board but also the Olympiads.

Q. Where and how can a student download CLASS 10 MATHS NCERT Solutions?

A. For the ease of students, we at Aakash have provided a PDF file for NCERT Solutions 2020 of all subjects, all topics for all classes. The detailed solutions are prepared by our senior and experienced faculty which gives students an in-depth understanding of the concepts rather than the particular question.

CLASS 10 MATHS NCERT Solutions are also provided in PDF format for the ease of students.

Q. Why CLASS 10 MATHS NCERT Solutions are recommended?

A. Well, it’s a fact that NCERT books are the best for CBSE board exam preparation. It is not just because this council is recommended by CBSE itself but the content and syllabus of NCERT books is the best across the country.

Syllabus and Topics CLASS 10 MATHS NCERT Solutions are curated after a thorough research keeping in mind the development perspective of students which helps them excel in board exams.

Thus, it gets extremely important for students to thoroughly go through the recommended NCERT syllabus for a particular exam.

 Also See NCERT Solutions for Class 10 Science NCERT Solutions for Class 10 English NCERT Solutions for Class 10 Social Science

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