## NCERT Solutions for Class 8 Maths – CBSE Class 8 Maths 2022-23

All textbook questions in line with the CBSE Board are included in NCERT Solutions for Class 8 Maths. All of the classes have a syllabus entirely based on the NCERT curriculum. As a result, using the NCERT Solutions to prepare for tests will undoubtedly give students an advantage in exam results.

Infinity Learn Class 8 Maths Solutions are designed to assist students in solving problems quickly. The NCERT 8th Class Maths Solutions provided here include well-prepared exercises and detailed explanations structured by our expert teachers, making learning and understanding concepts even easier. If students are looking for the most complex and accurate CBSE Class 8 Maths, they have come to the right place. ## Chapter-wise, Class 8 Maths NCERT Solutions

NCERT Solutions for Class 8th NCERT Solutions for Class 8th NCERT Solutions for Class 8th Students will benefit much from the math lessons provided here. They can use these NCERT Solutions for Class 8 as a reference for practicing problems, improving their skills, and efficiently preparing for exams. Exercises are provided at the end of each chapter to allow students to put what they’ve learned into practice.

## Class 8 Maths NCERT Solutions Chapter 1 Rational Numbers

In this chapter, students will discover the independent, associative, and closure properties of real numbers, integers, whole numbers, rational numbers, and natural numbers. The role of zero and one, multiplication over addition, the representation of Rational Numbers on the number line, and looking for Rational Numbers between two Rational Numbers are all covered in this chapter. This chapter also covers the topics of additive identity (0) and multiplicative identity (1). This chapter contains two exercises that include questions from all of the chapter’s themes.

#### Maths Class 8 NCERT Solutions Chapter 1 Exercise

➤ NCERT Maths Solutions Class 8 Exercise 1.1 – 11 Questions (11 Short Answers)
NCERT Maths Solutions Class 8 Exercise 1.2 – 7 Questions (7 Short Answers)

### Class 8 Maths NCERT Solutions Chapter 2 Linear Equations in One Variable

Linear Equations in One Variable is a chapter about linear Expression in a single variable. This chapter will focus on the equations with linear expressions in one variable. Linear Equations in One Variable are equations that have just one Variable. In this chapter, there are six exercises with 65 questions. Solving an equation of Linear Equations in One Variable, some of its applications, reducing equations to a simpler form, and word problems connected to Linear Equations in One Variable are all covered in this chapter.

#### Maths Class 8 NCERT Solutions Chapter 2 Exercises

NCERT Solutions Class 8 Maths Exercise 2.1 – 12 Questions (12 Short Answers)
NCERT Solutions Class 8 Maths Exercise 2.2 – 16 Questions (6 Long Answers, 10 Short Answers)
NCERT Solutions Class 8 Maths Exercise 2.3 – 10 Questions (3 Long Answers, 7 Short Answers)
NCERT Solutions Class 8 Maths Exercise 2.4 – 10 Questions (4 Long Answers, 6 Short Answers)
NCERT Solutions Class 8 Maths Exercise 2.5 – 10 Questions (1 Long Answer, 9 Short Answers)
NCERT Solutions Class 8 Maths Exercise 2.6 – 7 Questions (1 Long Answer, 6 Short Answers)

### Class 8 Maths NCERT Solutions Chapter 3 Understanding Quadrilaterals

As the title suggests, understanding Quadrilaterals, a chapter in Class 8 Maths, provides pupils with a thorough understanding of quadrilaterals. Triangles, quadrilaterals, pentagons, hexagons, and other polygons are all covered in this chapter. The chapter includes four tasks that will help students better grasp these shapes.

#### Maths Class 8 NCERT Solutions Chapter 3 Exercises

Maths NCERT Solutions Class 8 Exercise 3.1 – 7 Questions (1 Long Answer, 6 Short Answers)
Maths NCERT Solutions Class 8 Exercise 3.2 – 6 Questions (6 Short Answers)
➤ Maths NCERT Solutions Class 8 Exercise 3.3 – 12 Questions (6 Long Answers, 6 Short Answers)
Maths NCERT Solutions Class 8 Exercise 3.4 – 6 Questions (1 Long Answer, 5 Short Answers)

#### Class 8 Maths NCERT Solutions Chapter 4 Practical Geometry

Building a quadrilateral with various parameters is covered in the Practical chapter Geometry. Each of the five exercises in this chapter deals with a different approach to creating the quadrilateral. For example, the first exercise deals with quadrilateral creation when four sides and a diagonal are given; the second also deals with the quadrilateral building when two diagonals and three sides are given, and so on. As a result, we can infer that learning this chapter will prepare students for future lessons by familiarising them with all quadrilateral ideas.

#### Maths Class 8 NCERT Solutions Chapter 4 Exercises

➤ NCERT Maths Solutions for Class 8 Exercise 4.1 – 1 Question (1 Long Answer)
➤ NCERT Maths Solutions for Class 8 Exercise 4.2 – 1 Question (1 Long Answer)
NCERT Maths Solutions for Class 8 Exercise 4.3 – 1 Question (1 Long Answer)
NCERT Maths Solutions for Class 8 Exercise 4.4 – 1 Question (1 Long Answer)
NCERT Maths Solutions for Class 8 Exercise 4.5 – 4 Questions (4 Long Answers)

#### Class 8 Maths NCERT Solutions Chapter 5 Data Handling

Data is a collection of information that may be used for analysis. Students learn about data organization and representation in this chapter. Data handling is the process of organizing data methodically. In this chapter, students will learn how to depict these data graphically using a pictograph, a bar graph, a double bar graph, a pie chart, and a histogram. This chapter will introduce the notion of probability, also known as likelihood, to students. This chapter contains three exercises that cover all of the topics taught in the chapter.

#### Class 8 NCERT Solutions Maths Chapter 5 Exercises

➤ Solution of Maths NCERT Class 8 Exercise 5.1 – 5 Questions (5 Short Answers)
➤ Solution of Maths NCERT Class 8 Exercise 5.2 – 5 Questions (3 Long Answers, 2 Short Answers)
➤ Solution of Maths NCERT Class 8 Exercise 5.3 – 6 Questions (2 Long Answers, 4 Short Answers)
##### Class 8 Maths NCERT Solutions Chapter 6 Square and Square Roots

Squares and Square Roots is a chapter that teaches pupils about the concept of a square number and the square root of a number. The chapter covers square number properties, fascinating patterns that can be learned using square numbers, finding the square of a number, Pythagorean triplets, using various approaches, decimal square roots, etc.

#### Maths Class 8 NCERT Solutions Chapter 6 Exercises

➤ NCERT Solution of Maths Class 8 Exercise 6.1 – 9 Questions (9 Short Answers)
➤ NCERT Solution of Maths Class 8 Exercise 6.2 – 2 Questions (2 Short Answers)
NCERT Solution of Maths Class 8 Exercise 6.3 – 10 Questions (3 Long Answers, 7 Short Answers)
➤ NCERT Solution of Maths Class 8 Exercise 6.4 – 9 Questions (3 Long Answers, 6 Short Answers)
##### NCERT Solutions for CBSE Class 8 Maths Chapter 7 Cube and Cube Roots

Students learn about various ways of determining a number’s cubes and cube roots in the chapter Cubes and Cube Roots. The chapter goes over how to get the cubes of various integers, some intriguing patterns that may be learned using cubes, and discover the cube roots. The chapter includes two tasks that will aid students in fully comprehending the fundamentals of Cubes and Cube Roots.

#### Maths Class 8 NCERT Solutions Chapter 7 Exercises

➤ Maths NCERT Class 8 Solutions Exercise 7.1 – 4 Questions (4 Short Answers)
➤ Maths NCERT Class 8 Solutions Exercise 7.2 – 3 Questions (2 Long Answers,1 Short Answer)

#### NCERT Solutions for CBSE Class 8 Maths Chapter 8 Comparing Quantities

Comparing Quantities is a chapter that assists students in understanding how to reach percentage increases and decreases, market value, sales value, and discounts, among other things. The chapter discusses interest, an essential term that can be applied in everyday life. Simple interest, compound interest calculated half-yearly, quarterly, monthly, or yearly, and much more are taught to students. This chapter has three tasks that aid students in understanding the concept of comparing quantities.

#### Maths Class 8 NCERT Solutions Chapter 8 Exercises

➤ NCERT 8 Class Maths Solution Exercise 8.1 – 6 Questions (1 Long Answer, 5 Short Answers)
NCERT 8 Class Maths Solution Exercise 8.2 – 10 Questions (4 Long Answers, 6 Short Answers)
NCERT 8 Class Maths Solution Exercise 8.3 – 12 Questions (6 Long Answers, 6 Short Answers)

#### NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities

Algebraic Expressions and Identities is a chapter that aids students in comprehending the concepts taught in the chapter. The chapter discusses the words, factors, and coefficients associated with Algebraic Expressions. The chapter also includes a brief overview of monomials, binomials, and polynomials. Algebraic Expression is taught to students, including addition, subtraction, and multiplication. The chapter also discusses the concept of identity. The chapter’s five exercises cover all Algebraic Expressions and Identities topics.

#### Maths Class 8 NCERT Solutions Chapter 9 Exercises

NCERT 8 Class Maths Solution Exercise 9.1 – 4 Questions (4 Short Answers)
NCERT 8 Class Maths Solution Exercise 9.2 – 5 Questions (5 Short Answers)
NCERT 8 Class Maths Solution Exercise 9.3 – 5 Questions (5 Short Answers)
NCERT 8 Class Maths Solution Exercise 9.4 – 3 Questions (3 Short Answers)
NCERT 8 Class Maths Solution Exercise 9.5 – 8 Questions (8 Short Answers)

### NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes

Students learn to visualize solid shapes in different dimensions in this chapter with the help of three exercises. The chapter is fascinating since it covers how to observe 3-D shapes, how to map the area around us, and how to learn about faces, edges, and vertices. The chapter also covers Euler’s formula, which asserts that F + V – E = 2, with F denoting faces, V denoting vertices, and E denoting edges and their application.

#### Class 8 NCERT Solutions Maths Chapter 10 Exercises

➤ Maths NCERT Class 8 Solutions Exercise 10.1 – 4 Questions (4 Short Answers)
Maths NCERT Class 8 Solutions Exercise 10.2 – 4 Questions (3 Short Answers, 1 Long Answer)
➤ Maths NCERT Class 8 Solutions Exercise 10.3 – 8 Questions (8 Short Answers)

### Class 8 Maths NCERT Solutions Chapter 11 Mensuration

Lower-level students should have learned about the area and perimeter of various closed planar forms such as triangles, rectangles, and circles. In the Mensuration chapter, students will learn to handle issues involving the perimeter and area of additional plane closed forms, such as quadrilaterals. Students would eventually learn about various solid shapes’ surface area and volume, including a cube, cuboid, and cylinder. This chapter contains a total of four exercises.

#### Maths Class 8 NCERT Solutions Chapter 11 Exercises

➤ NCERT Solution of Maths Class 8 Exercise 11.1 – 5 Questions (5 Long Answers)
➤ NCERT Solution of Maths Class 8 Exercise 11.2 – 11 Questions (11 Long Answers)
➤ NCERT Solution of Maths Class 8 Exercise 11.3 – 10 Questions (2 Short Answers, 8 Long Answers)
NCERT Solution of Maths Class 8 Exercise 11.4 – 8 Questions (2 Short Answers, 6 Long Answers)

### Class 8 Maths NCERT Solutions Chapter 12 Exponents and Powers

Students learn about powers with negative exponents, laws of exponents, exponents to express numbers in standard form and comparing extremely big numbers to small numbers in the chapter Exponents and Powers. This chapter has two tasks to assist students in learning about Exponents and Powers.

#### Maths Class 8 NCERT Solutions Chapter 12 Exercises

➤ Solution of Maths NCERT Class 8 Exercise 12.1 – 7 Questions (7 Short Answers)
Solution of Maths NCERT Class 8 Exercise 12.2 – 4 Questions (4 Short Answers)

### Class 8 Maths NCERT Solutions Chapter 13 Direct and Inverse Proportions

This chapter includes two exercises that have questions about direct and inverse proportions. If two quantities x and y rise (drop) so that the ratio of their corresponding values remains constant, they are said to be in direct proportion. On the other hand, two numbers, x, and y, are said to be inverse proportion if a rise in x produces a proportional reduction in y (and vice versa) so that their product remains constant.

#### Maths Class 8 NCERT Solutions Chapter 13 Exercises

➤ NCERT Maths Solutions for Class 8 Exercise 13.1 – 10 Questions (10 Short Answers)
➤ NCERT Maths Solutions for Class 8 Exercise 13.2 – 11 Questions (11 Long Answers)

### Class 8 Maths NCERT Solutions Chapter 14 Factorization

Students will learn how to factorize in this chapter. Factors of natural numbers and algebraic expressions, factorization by regrouping terms, and factorization using identities are all discussed in this chapter. The division of algebraic expressions is also covered in this chapter, including the division of a monomial by another monomial, the division of a polynomial by a monomial, and so on. This chapter contains four exercises, each of which contains questions that cover all of the topics covered in the chapter.

#### Maths Class 8 NCERT Solutions Chapter 14 Exercises

➤ Maths NCERT Solutions Class 8 Exercise 14.1 – 3 Questions (3 Short Answers)
➤ Maths NCERT Solutions Class 8 Exercise 14.2 – 5 Questions (5 Short Answers)
➤ Maths NCERT Solutions Class 8 Exercise 14.3 – 5 Questions (5 Short Answers)
➤ Maths NCERT Solutions Class 8 Exercise 14.4 – 21 Questions (21 Short Answers)

### Class 8 Maths NCERT Solutions Chapter 15 Introduction to Graphs

In the chapter Introduction to Graphs, students learn how to represent various sorts of data with multiple types of graphs. Bar graphs, pie graphs, line graphs, and linear graphs are examples of several types of graphs. The students will benefit from this chapter by learning to locate a point and coordinate in a graph. Three tasks in this chapter will assist students in grasping the ideas of graphs.

#### Class 8 NCERT Solutions Maths Chapter 15 Exercises

➤ NCERT Solutions Class 8 Maths Exercise 15.1 – 7 Questions (7 Long Answers)
➤ NCERT Solutions Class 8 Maths Exercise 15.2 – 4 Questions (4 Short Answers)
NCERT Solutions Class 8 Maths Exercise 15.3 – 2 Questions (2 Short Answers)

### Class 8 Maths NCERT Solutions Chapter 16 Playing with Numbers

Students have previously studied natural numbers, whole numbers, integers, and rational numbers, among other forms of numbers. They may have looked into intriguing aspects of these numbers, such as finding factors, multiples, and correlations. Students can also examine the broad genre of numbers in depth in this chapter. These concepts can assist pupils in justifying divisibility exams. This chapter has two exercises that explore the topic of Playing with Numbers.

#### Class 8 NCERT Solutions Maths Chapter 16 Exercises

➤ NCERT Maths Solutions Class 8 Exercise 16.1 – 10 Questions (Short Answers)
➤ NCERT Maths Solutions Class 8 Exercise 16.2 – 4 Questions (Short Answers)

#### CBSE Class 8 Maths Solutions of NCERT Book

For Class 8, we have chapter-by-chapter NCERT Maths Solutions. Students can comprehend and solve all of the NCERT Class 8 mathematics book questions with the solutions offered on this page. These solutions are free for free or as a PDF download for students.

Students will better understand the different questions and the marking scheme by solving NCERT Maths question papers and practice papers. Students can also practice sample issues by learning from NCERT Exemplar Class 8.

#### Key Features of INFINITY learn NCERT Class 8 Maths Solutions.

• All of the Class 8 Maths book chapters are covered in these solutions.
• The solutions are broken down into simple steps to help students grasp the concepts.
• These solutions can be accessed and downloaded anytime and from any location.
• These CBSE 8th Class Maths solutions are free to use and can be accessed by any student.

These were a few advantages of using the Maths NCERT 8th Class Solutions. Students can enroll more effectively in Infinity Learn to learn topics from the CBSE or NCERT syllabus for Class 8 Maths or any other class. They can learn about various topics from the comfort of their homes by using the internet and browsing content on their computers. Students can personalize their learning experience at their own pace without worrying about missing deadlines or being stressed. We also provide the best subject experts or mentors to help students learn the subject and its concepts more straightforwardly and enjoyably.

Another advantage that students can enjoy with Infinity Learn is that they can choose to learn NCERT courses by using our solutions anytime and anywhere. Infinity Learn is also interested in keeping track of pupils’ progress. Periodic assessments are used to provide feedback and counseling. If students have questions while studying the CBSE Class 8 Maths NCERT Solutions, they can contact our Infinity Learn support team for assistance. Students can also bring in questions about math and other disciplines like physics, chemistry, and biology. Our friendly staff is always available to answer any queries you may have.

Students can also download the Infinity Learn App for complete Class 8 support.

#### Frequently Asked Questions on NCERT Solutions for CBSE Class 8 Maths

##### Which chapters in the Class 8 Maths NCERT Solutions are crucial for test preparation?

All of the chapters are essential for exam preparation and promote a concept-based learning approach. However, compared to other chapters, a few carry a higher weightage of marks. This will also aid you in improving your overall Class 8 exam result. As you progress through your study, several essential chapters will be examined in greater depth. Some of the crucial chapters to study for the tests are square. Square roots, measurement, introduction to graphs, quadrilaterals, etc.

##### Do NCERT Solutions for Class 8 Maths PDFs assist you in exam preparation?

Infinity Learn solutions are accessible in PDF format with a free download option. For simplicity of usage, it is also divided into chapters and exercises. According to the CBSE syllabus, the solutions are correct, making it a reputable resource for pupils studying for the Class 8 exams. Complex concepts that are difficult to grasp during class hours can be easily grasped with the help of solutions PDF created by Infinity Learn experts.

##### How can I begin studying the NCERT Solutions for Class 8 Maths syllabus?

Selecting the appropriate study material for CBSE board students is a difficult undertaking. Class 8 pupils should first learn the NCERT Syllabus for the academic year from the official website and then prioritize the most important concepts. A month before the exam, all topics should be covered to make revision easy. The significant concepts from an exam standpoint should not be postponed since this will result in a worse grade in the Class 8 tests.

##### Where can I find the NCERT Solutions for Class 8 Maths chapter-by-chapter answers?

Students can access Class 8 chapter-by-chapter solutions using Infinity Learn fast connections. Students can download and access chapter-by-chapter solutions while practicing problems from the NCERT textbook by clicking on the links. The solutions are based on the understanding abilities of Class 8 students. Every step is discussed in simple terms to make learning enjoyable for the pupils.

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