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• NCERT Solutions for Class 8 Maths

# NCERT Solutions for Class 8 Maths

NCERT Solutions for Class 8 Maths are designed to help you with every chapter in your NCERT Class 8 Math textbook. We’ve aligned our NCERT Maths textbook solutions with the latest NCERT curriculum, covering topics such as Rational Numbers, Linear Equations, Quadrilaterals, Data Handling, and more according to the CBSE Class 8 Syllabus. These updated NCERT Class 8 Math Solutions are available in both Hindi and English and now include ‘Try These’ sections. They have been revised and updated for the 2023-24 academic year. In each chapter, you’ll find comprehensive coverage of all exercises, complete with step-by-step explanations.

GeeksforGeeks NCERT Class 8 Math Solutions are here to make problem-solving easier for students. The NCERT Class 8 Maths Textbook has a total of 16 chapters. To excel in your CBSE Board Exams, it’s essential to regularly review and practice all the NCERT Class 8 Solutions. Start by solving the problems in the NCERT book, and then you can refer to our expert-crafted Class 8 NCERT Math solutions for guidance. We also offer NCERT Solutions for Class 8 in all subjects. ## NCERT Solutions for Class 8 Maths Chapter-Wise

The below table contains the Chapter-Wise NCERT Solutions for Class 8 Maths:-

## NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers

Class 8th Maths Chapter 1 is about the properties of real numbers, rational numbers, the representation of a rational number on a number line, and additive and multiplicative identity. To Access and Download all our Notes, you simply follow the links given below. In NCERT Notes, we have covered NCERT Problems based on Rational numbers mainly discussing the characteristics of all real numbers, integers, whole numbers, rational numbers, and natural numbers.

Class 8 Maths NCERT Solutions Chapter 1 Exercises

Exercise 1.1 are related to the properties of rational numbers (closure, commutativity, associativity, etc). However, Exercise 1.2 are completely related to the advanced concepts of rational numbers like the representation of rational numbers on a number line and determining any numbers of rational numbers between any two rational numbers.

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

Class 8 Maths Chapter 2 deals with the Linear Equations in One Variable and its algebraic operations. This chapter contains six different exercises that have problems based on linear equations in one variable and their application. There are a total of six exercises in Class 8 Maths NCERT Solutions Chapter 2 with some extra questions. Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 2 Exercises

In Chapter 2 linear equations in one variable, we have 65 well-structured questions, which may be divided into 20 simple calculation sums, 38 intermediate levels, and 7 difficult problems. Exercises 2.1, 2.2, 2.3, and 2.4 are designed to determine the solution of the linear equation. However, Exercises 2.5 and 2.6 are based on the topic equations reducible to the linear form.

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

Class 8 Maths Chapter 3 covers all types of quadrilaterals such as polygonal shapes like squares, rectangles, triangles, pentagons, hexagons, etc. In total, this chapter contains four exercises that include a total of 31 questions, out of which 7 are easy, 16 are medium and 8 are difficult problems. There are a total of four exercises in Class 8 Maths NCERT Solutions Chapter 3 Exercises with some extra questions. Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 3 Exercises

Exercise 3.1 covers the problems on the definition of various polygons and their properties, Exercise 3.2 is based on the concept of the Angle sum property of a polygon. However, Exercise 3.3 covers the elements and the properties of quadrilaterals like trapezium, kite, and parallelogram, and Exercise 3.4 is designed to learn some special types of parallelograms like squares, rectangles, and rhombus.

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

Class 8 Maths Chapter 4 helps to learn the construction of quadrilaterals when different parameters of it are known. Geometry may be visualized and realized in the actual world with the help of Practical Geometry. This can be applied in architecture, sculpture, dimension calculations, and other areas. There are a total of five exercises in the Maths Class 8 NCERT Solutions Chapter 4 Exercises with some extra questions. Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 4 Exercises

This chapter contains a total of five exercises only, with 8 questions in total. Each question is divided into 3-4 subparts with easy, to difficult questions. Exercise 4.1 covers the problem for the case when the lengths of four sides and a diagonal are given. Similarly, Exercises 4.2, 4.3, and 4.4 are based on the topics when two diagonals and three sides are known, two adjacent sides and three angles are given and three sides and two included angles are provided. However, Exercise 4.5 contains problems based on some special cases.

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

Class 8 Maths Chapter 5 is all about Data handling which is a method of organizing data or information systematically using diagrams like pictographs, pie charts, bar graphs, and histograms. Students learn about data organization and representation in this chapter. Data handling is the process of organizing data systematically. There are a total of three exercises in the Class 8 Maths NCERT Solutions Chapter 5 Exercises with some extra questions. Class 8 Students can access their solutions from the links given here.

Class 8 NCERT Solutions Maths Chapter 5 Exercises

This chapter consists of only three exercises. Exercise 5.1 is based on the basic concept of representing, organizing, and grouping the data provided while Exercise 5.2 helps to make a pie chart for the given data. Moreover, Exercise 5.3 covers the topic that helps to understand the basic concept of probability.

### Access the following Related resources for Class 8 Chapter 5 Data Handling:

• Class 8 RD Sharma Solutions of Chapter – Data Handling (I, II, III, IV)

## NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots

Class 8 Maths Chapter 6 gives the knowledge of the concept to determine the squares and square roots of a number. The different properties and the pattern followed to find a square number are discussed in four exercises. There are a total of four exercises in the Class 8 Maths NCERT Solutions Chapter 6 Exercises with some extra questions. Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 6 Exercises

Exercises 6.1 and 6.2 are based on the basic idea of square numbers and different ways to determine them. Though Exercises 6.3 and 6.4 are focused on the concept of the determination of the square root of a number.

## NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots

Class 8 Maths Chapter 7 suggests Cubes and Cube roots which helps to understand the concept to determine the cubes and cube roots of a number. The different patterns followed to find a cube and cube root of a number are discussed in only two exercises. There are a total of two exercises in the Class 8 Maths NCERT Solutions Chapter 7 Exercises with some extra questions. Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 7 Exercises

Exercise 7.1 contains the problem to determine whether the given number is a perfect cube or not. And Exercise 7.2 focused on the idea of the cube root and the determination of the cube root of a number.

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

Class 8 Maths Chapter 8 gives a basic understanding of the topics related to comparing quantities like increased and decreased percentages, market price, selling price, cost price, discount, discount price, profit or loss, interest, etc. There are a total of Three exercises in the Class 8 Maths NCERT Solutions Chapter 8 Exercises with some extra questions. Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 8 Exercises

In total there are three exercises in this chapter, Exercise 8.1 is based on the topics of ratios and percentage, and Exercises 8.2 and 8.3 covers a wide range of concepts such as percentage, profit or loss, tax, and compound interest.

### Access the following Related resources for Class 8 Chapter 8 Comparing Quantities:

• Class 8 RD Sharma Solutions for chapter – Comparing Quantities I, II,III

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

Class 8 Maths Chapter 9 is on Algebraic Expressions and Identities which briefs the basics of monomials, binomials, and polynomials in an algebraic expression. In the Class 8 Maths NCERT Solutions Chapter 9 Exercises, Multiplying different polynomials, and solving questions using algebraic identities are essential topics covered in this chapter.

Maths Class 8 NCERT Solutions Chapter 9 Exercises

There are 25 well-structured questions in Chapter 9 algebraic expressions and identities, including 8 basic identity-based problems, 12 intermediate problems, and 5 hard questions. Exercises 9.1 and 9.2 covers the basic concepts of terms related to polynomials and operations on the expressions. Exercises 9.3 and 9.4 are based on the multiplications of polynomials while Exercise 9.5 discussed the standard algebraic identities.

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

Class 8 Maths Chapter 10 provides an understanding of visualizing solids shapes when visualized in different dimensions and various terms used to describe their properties. In the Class 8 Maths NCERT Solutions Chapter 10 Exercises, the chapter covered three different exercises consisting of a total of 15 Questions. Out of which 10 are easy, 3 are moderate and 2 are easy-to-level questions. To Access and Download all our Notes, you simply follow the links given below.

Class 8 NCERT Solutions Maths Chapter 10 Exercises

Here exercises 10.1 and 10.2 are based on the concept of the visualization of different solid shapes at different positions and the mapping spaces around the observer. Though, Exercise 10.3 discussed the terms like faces, edges, vertices, and the relation between them, related to a solid shape.

## NCERT Solutions for Class 8 Maths Chapter 11 Mensuration

Class 8 Maths Chapter 11 Mensuration deals with the measurement or the calculations related to determining the area, perimeter, volume of various geometrical figures like squares, cubes, rectangles, cuboids, cylinders, and triangles, etc. There are a total of four exercises in the Class 8 Maths NCERT Solutions Chapter 11 Exercises with some extra questions. Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 11 Exercises

This chapter consists of only four exercises in which Exercises 11.1 and 11.2 deal with problems related to the areas of different geometrical shapes, combinations of shapes, and everyday life examples. However, Exercises 11.3 and 11.4 discussed the terminology related to 3-Dimensional shapes.

### Access the following Related resources for Class 8 Chapter 11 Mensuration :

• Class 8 RD Sharma Solutions for Chapter – Mensuration (I, II, III)

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

Class 8 Maths Chapter 12 cover the primary concepts such as the laws of exponents and their applications. The main topics covered in this chapter are expressing numbers in the form of exponents and applying the laws of negative exponents. There are a total of two exercises in the Class 8 Maths NCERT Solutions Chapter 12 Exercises with some extra questions. Class 8 Students can access their solutions from the links given here.

Maths Class 8 NCERT Solutions Chapter 12 Exercises

In class 8 Maths chapter 12 exponents and powers, there are 11 questions, four of which are based on exponent laws, three of which are medium level, and two of which are difficult. Exercise 12.1 is specifically based on the laws of exponents, and Exercise 12.2 deals with the problems using the applications of power to write large numbers in exponents and vice-versa.

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

Class 8 Maths Chapter 13 gives a detailed explanation of inverse and direct proportions through problems discussed in two exercises. This chapter covers various types of questions on direct proportion and identifying inverse proportion. And determining the value of quantities following this relationship, the important topics explained in Class 8 Maths NCERT Solutions Chapter 13 Exercises.

Maths Class 8 NCERT Solutions Chapter 13 Exercises

There are 21 well-structured problems in Chapter 13 on direct and inverse proportion. There are five simple relationship identification questions, ten moderately tough questions, and six lengthy answer-type sums. Exercise 13.1 contains problems to determine the direct proportions between any quantity and Exercise 13.2 deals with the questions from the indirect inverse.

## NCERT Solutions for Class 8 Maths Chapter 14 Factorisation

Class 8 Maths Chapter 14 teaches students how to factor algebraic equations using numerous methods and the steps required to divide different types of polynomials. Factorization is an important topic since it is an integral part of mathematics. In Class 8 Maths NCERT Solutions Chapter 14 Exercises, the chapter comprises the problems on the factors of natural numbers and algebraic expressions, factorization by regrouping terms, factorization using identities, and division of algebraic expressions.

Maths Class 8 NCERT Solutions Chapter 14 Exercises

The chapter includes four exercises out of which exercises 14.1 and 14.2 are based on the topic factorizations and their application while exercises 14.3 and 14.4 emphasize the division of algebraic expressions.

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

Class 8 Maths Chapter 15 is all about the basic understanding of graphs, kinds of graphs, etc. Other topics include linear graphs and how to apply them to daily life problems. There are a total of three exercises in the Class 8 Maths NCERT Solutions Chapter 15 Exercises with some extra questions. Class 8 Students can access their solutions from the links given here.

Class 8 NCERT Solutions Maths Chapter 15 Exercises

Chapter 15 introduction to graphs consists of a total of 13 problems. 7 are difficult-to-level analytical questions, 2 are moderate and 4 are easy problems. Exercise 15.1 deals with problems from the introduction to graphs and terminology related to them while problems in Exercises 15.2 and 15.3 provided an emphasis on the construction of different types of graphs and their applications.

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

Class 8 Maths Chapter 16 helped to learn about various kinds of numbers and their different properties likewise in this chapter the concept of numbers is discussed in a more general way. Class 8 Maths NCERT Solutions Chapter 16 Exercises Playing with numbers allows students to explore the properties of numbers interactively. This chapter assists students in determining the divisibility of integers by providing a list of pointers and methods for increasing calculation speed.

Class 8 NCERT Solutions Maths Chapter 16 Exercises

Chapter 16 Playing with Numbers consists of a total of 14 problems. Out of which, 5 are easy-to-level problems based on games, 7 are moderate-level questions based on divisibility tests, while the rests two are difficult-to-level questions. Exercise 16.1 and 16.2 contains fun activities, puzzles, etc. such as divisibility tests to determine any missing number in a series of numbers.

## Benefits of Solving NCERT Solutions for Class 8 Maths from GeeksforGeeks

Benefits of Using GeeksforGeeks for Solving NCERT Solutions for Class 8 Maths:

• Conceptual Clarity: NCERT solutions are well-structured and designed to explain mathematical concepts clearly and concisely. By solving these exercises, students can develop a better understanding of fundamental concepts, which is crucial for building advanced mathematical skills in the future.
• Ideal for CBSE Exams: Since the CBSE board exams are based on NCERT textbooks, practicing NCERT solutions helps students become well-prepared for their exams. Many questions in the exams are directly picked from NCERT exercises or follow a similar pattern.
• Gradual Progression: NCERT solutions are designed to follow a step-by-step approach, starting with basic concepts and gradually progressing to more complex problems. This allows students to enhance their problem-solving skills progressively.
• Time Management: Regular practice of NCERT solutions can improve a student’s speed and accuracy in solving mathematical problems, which is vital during exams when time management is crucial.
• Self-Assessment: NCERT solutions usually come with answers and explanations. Students can use these to self-assess their performance, identify areas of improvement, and work on weak points.
• Exam Preparation: Solving NCERT exercises can serve as an essential part of exam preparation, allowing students to revise and consolidate their learning before exams.
• Real-life Applications: NCERT textbooks often include examples that relate to real-life situations, making math more practical and relevant to students.

## CBSE Class 8 Maths Chapter-wise Marks Weightage for 2023-24

UnitUnit NameMarks
1Number System26
2Algebra21
3Ratio and Proportion8
4Geometry18
5Mensuration11
6Data Handling8
7Introduction to Graphs8

Total

100

Important Resources for CBSE Class 8th provided by GeeksforGeeks:-

## NCERT Solutions for Class 8 Maths – FAQ’s

### Q1. What are some important formulas from Class 8 Maths NCERT?

Here is the list of some important formulas covered in NCERT solutions from Mensuration and Algebra, for class 8 maths are given below:

Important Mensuration formulas:

• TSA of Cuboid = 2(lb + bh +lh)
• TSA of Cube = 6a2
• TSA of Right Circular Cone = πr (l + r)
• CSA of Solid Shapes
• CSA of Cuboid = 2(l + b)
• CSA of Cube = 4a2
• CSA of Right Circular Cone = πrl
• Volume of Cuboid = lbh
• Volume of Cube = a3
• Volume of Right Circular Cone = ⅓ × πr2h

Important Algebraic Expressions

• (x + a)(x + b) = x2 + (a + b)x + ab
• (x – a)(x – b) = x2 – (a + b)x + ab
• (x – a)(x + b) = x2 + (b – a)x – ab

### Q2. Why it is important to study Class 8 maths Notes for CBSE Exams?

Making notes when studying the NCERT Solutions Class 8 Maths is usually a good idea because they serve as guides for pupils while revising the amounts. Furthermore, notes aid students in recalling topics involved in a problem at a glance. This cuts down on the amount of time it takes to go over an issue during an exam.

### Q3. Why are NCERT Solutions for Class 8 Maths Important?

NCERT Solutions for Class 8 Math are essential since they allow students to double-check their responses to exercise problems. These NCERT answers for class 8 math are self-explanatory and give pupils a full overview of the procedures they must take to obtain the correct answer using the most effective way.

### Q4. How are NCERT Solutions for Class 8 Maths Promoting Problem-Solving in Students?

NCERT solutions for class 8 maths teach how to break down a question into smaller sections to understand it. Students can not only develop a problem-solving approach but also improve their mathematics skills by applying these approaches.

### Q5. How Many Chapters are there in Class 8 Maths NCERT Solutions?

The NCERT solutions for class 8 maths contain 16 chapters. Mensuration, graphs, factorization, exponents, and other topics covered in this chapter create the foundation for higher levels. Because mathematics is a subject in which all subjects are interconnected, it is critical to be well-versed in all of these chapters in order to prevent misunderstanding in higher grades.

### Q6. Where can I download CBSE Class 10 NCERT Mathematics PDF Solutions?

You can download CBSE Class 8 NCERT Mathematics PDF Solutions from the our website and from official website as well of National Council of Educational Research and Training (NCERT).

### Q7. How to perform well in 8th Maths?

The usefulness of educational resources, such as Class 8 NCERT Solutions at Tiwari Academy, can differ based on how each student learns. It’s a good idea for students to explore various resources on our website or app and select the ones that match their learning style and goals.

### Q8. What are the Class 8 Maths NCERT Solutions & Main Exercises of all chapters?

Chapter 1: Rational Numbers

• Class 8 Maths Exercise 1.1
• Class 8 Maths Exercise 1.2

Chapter 2: Linear Equations in one Variable

• Class 8 Maths Exercise 2.1
• Class 8 Maths Exercise 2.2

• Class 8 Maths Exercise 3.1
• Class 8 Maths Exercise 3.2
• Class 8 Maths Exercise 3.3
• Class 8 Maths Exercise 3.4

Chapter 4: Data Handling

• Class 8 Maths Exercise 4.1
• Class 8 Maths Exercise 4.2

Chapter 5: Square and Square Roots

• Class 8 Maths Exercise 5.1
• Class 8 Maths Exercise 5.2
• Class 8 Maths Exercise 5.3
• Class 8 Maths Exercise 5.4

Chapter 6: Cube and Cube Roots

• Class 8 Maths Exercise 6.1
• Class 8 Maths Exercise 6.2

Chapter 7: Comparing Quantities

• Class 8 Maths Exercise 7.1
• Class 8 Maths Exercise 7.2
• Class 8 Maths Exercise 7.3

Chapter 8: Algebraic Expressions and Identities

• Class 8 Maths Exercise 8.1
• Class 8 Maths Exercise 8.2
• Class 8 Maths Exercise 8.3
• Class 8 Maths Exercise 8.4

Chapter 9: Mensuration

• Class 8 Maths Exercise 9.1
• Class 8 Maths Exercise 9.2
• Class 8 Maths Exercise 9.3

Chapter 10: Exponents and Powers

• Class 8 Maths Exercise 10.1
• Class 8 Maths Exercise 10.2

Chapter 11: Direct and Inverse Proportions

• Class 8 Maths Exercise 11.1
• Class 8 Maths Exercise 11.2

Chapter 12: Factorization

• Class 8 Maths Exercise 12.1
• Class 8 Maths Exercise 12.2
• Class 8 Maths Exercise 12.3

Chapter 13: Introduction to Graphs

• Class 8 Maths Exercise 13.1
• Class 8 Maths Exercise 13.2

### Q9. How to use Class 8 Maths NCERT Solutions to get good Marks in Exam?

To score well in your Class 8 Math exam, utilize Class 8 Maths NCERT Solutions for thorough practice and understanding of concepts.

### Q10. Which is the most interesting chapter in Class 8 Maths?

The captivating Chapter 13 in Class 8 is accompanied by helpful videos. Utilize Class 8 Maths NCERT Solutions in Hindi or English to grasp it effortlessly. Follow these steps:

1. Try answering questions independently before seeking online solutions.

2. Employ various problem-solving techniques.

3. Engage in discussions with friends and family about exercise questions.