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Home » 8th Class » Class 8 Maths Notes for (PDF) – Study Material
Class 8 Maths Notes for (PDF) – Study Material
Class 8 Maths Notes are now available for download here. Here you can get Short Notes for Class 8 Maths. If you are a Class 8th student, then you can use the Class 8 Maths Notes PDF to study all the chapters. You can download the Class 8 notes for Maths subject for all chapters here at aglasem.com.
- Class 8 Maths Notes
Here are the class 8 Maths notes . If you are studying Maths then you can easily download Class 8 Maths notes pdf here to learn about the topics. Maths notes and summary are compiled by expert teachers so that you can study easily with them. All the notes are chapter wise. That’s why you can read and understand about each chapter or topic given in Class 8th Maths book with this free study material.
- Rational Numbers
- Linear Equation in One Variable
- Understanding Quadrangles
- Data Handling
- Square and Square Roots
- Comparing Quantities
- Algebraic Expression and Identities
- Mensuration
- Exponents and Powers
- Direct and Inverse Proportions
- Factorisation
- Introduction to Graphs
After notes we have also provided important questions of the Class 8 Maths textbook. You can practice the Maths questions and check your answers from the solutions given after questions. One Class 8 Maths test is also there for your practice.
- Class 8 Notes
Not only can you study all the topics with the Maths notes . These are also the Class 8 Maths summary that help you read the portion quickly. Moreover they help you arrive at the Class 8 Maths solutions to the chapter-wise questions answers. All the notes for Class 8 students, subject-wise, are as follows.
- Class 8 Hindi Study Material (Important Questions)
Class 8 Maths Notes for All Boards
Likewise the 8th class Maths notes here are useful for other boards also. As you know, the different boards for Class 8 in India are CBSE, CISCE, SEBA, BSE Odisha, CGBSE, HBSE, HPBOSE, KSEEB, MSBSHSE, PSEB, RBSE, TBSE, UPMSP, UBSE, BSEAP, BSEB, GBSHSE, GSEB, JAC, JKBOSE, KBPE, MBOSE, MBSE, MPBSE, NBSE, DGE TN, BSE Telangana, BOSEM, WBBSE . Therefore if you are a student of any of these boards, then you can use the Class 8 / Class 8th Maths notes PDF here to complete your curriculum.
Notes for All Classes
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- Class 7 Notes
- Class 9 Notes
- Class 10 Notes
- Class 11 Notes
- Class 12 Notes
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- NCERT Solutions
- NCERT Class 8
- NCERT 8 Maths
NCERT Solutions for Class 8 Maths
Ncert solutions for class 8 maths cbse 2023-24 edition – free pdf download.
NCERT Solutions for Class 8 Maths includes all the questions provided in the textbook that is prescribed in accordance with the CBSE Board. The syllabus given for all the classes is completely based on the NCERT curriculum. Hence, preparing for exams using NCERT Solutions will definitely provide students with an advantage.
BYJU’S NCERT Class 8 Solutions for Maths has been designed to help students solve problems with ease. The CBSE 8th Class Solutions for Maths provided here come with well-prepared exercises along with detailed explanations given by our expert teachers that further make learning and understanding concepts an easy task. So, if students have been looking for the most detailed and accurate Class 8 NCERT Solutions for Maths, which is also free, this is the right place.
NCERT Solutions for Maths Class 8 Chapter-Wise – Free PDF Download |
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Chapter-Wise NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 8th Maths provided here are very beneficial for students. They can use these NCERT Solutions for Class 8 as a reference while practising the problems and developing better skills along with preparing efficiently for the exams. The exercises are given at the end of every chapter to practise the concepts learned in the chapter.
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers
In this chapter, students will be learning properties related to real numbers, integers, whole numbers, rational numbers and natural numbers – independent, associative and closure. The chapter deals with the role of zero and one, multiplication over addition, representation of rational Numbers on the number line , and searching for rational numbers between two rational numbers. The topics of additive identity (0) and multiplicative identity (1) are also covered in this chapter. There are 2 exercises in this chapter, which contain questions from all the topics present in the chapter.
Maths Class 8 NCERT Solutions Chapter 1 Exercises |
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– 11 Questions (11 Short Answers) |
– 7 Questions (7 Short Answers) |
Also, access the following resources for Class 8 Chapter 1 Rational Numbers at BYJU’S:
- Rational Numbers Class 8 Notes – Chapter 1
- NCERT Exemplar Class 8 Maths Solutions for Chapter 1 – Rational Numbers
- RD Sharma Solutions for Class 8 Maths Chapter 1 – Rational Numbers
Which is the best app for learning math?
Here, you would have been able to access all the solutions to all the exercises in your class 8 NCERT math textbook. If you want to learn the concepts afresh in a new and exciting way, you should get BYJU’S The Learning App for grade 8.
BYJU’S The Learning App for math for class 8 has:
- 120+ math videos (1600+ minutes of content!)
- ~70 gamified interactive learning experiences
- Important questions
- Summary cards to revise formulae
- Practice tests
- 24 X 7 access to learning resources
BYJU’S The Learning App for grade 8 also covers Biology, Chemistry, Physics, Civics, History, and Geography.
Just Click here to know more about why BYJU’S The Learning App is the best app for learning math.
NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable
The chapter, Linear Equations in One Variable, deals with linear expression in one variable alone. Such equations are known as linear equations in one variable . There are six exercises in this chapter with a total of 65 questions in them. The chapter includes different concepts, including solving linear equations in one variable, some of its applications, reducing equations to a simpler form and word problems related to linear equations in one variable.
Maths Class 8 NCERT Solutions Chapter 2 Exercises |
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– 12 Questions (12 Short Answers) |
– 16 Questions (6 Long Answers, 10 Short Answers) |
– 10 Questions (3 Long Answers, 7 Short Answers) |
– 10 Questions (4 Long Answers, 6 Short Answers) |
– 10 Questions (1 Long Answer, 9 Short Answers) |
– 7 Questions (1 Long Answer, 6 Short Answers) |
Also, access the following resources for Class 8 Chapter 2 Linear Equations in One Variable at BYJU’S:
- Linear Equations In One Variable Class 8 Notes- Chapter 2
- NCERT Exemplar Class 8 Maths Solutions for Chapter 4 – Linear Equations In One Variable
- RD Sharma Solutions for Class 8 Maths Chapter 9 Linear Equation in One Variable
NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals
The chapter Understanding Quadrilaterals of Class 8 Maths provides the students with a proper understanding of the quadrilaterals . The chapter also covers different kinds of polygons, including triangles, quadrilaterals, pentagons, hexagons, etc. The chapter contains 4 exercises which aid the students in understanding these shapes properly.
Maths Class 8 NCERT Solutions Chapter 3 Exercises |
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– 7 Questions (1 Long Answer, 6 Short Answers) |
– 6 Questions (6 Short Answers) |
– 12 Questions (6 Long Answers, 6 Short Answers) |
– 6 Questions (1 Long Answer, 5 Short Answers) |
Also, access the following resources for Class 8 Chapter 3 Understanding Quadrilaterals at BYJU’S:
- Understanding Quadrilaterals Class 8 Notes – Chapter 3
- Important Questions for Maths Class 8 Chapter 3 Understanding Quadrilaterals
- NCERT Exemplar Class 8 Maths Solutions for Chapter 5 – Understanding Quadrilaterals Practical Geometry
- RD Sharma Solutions for Class 8 Maths Chapter 16 Understanding Shapes- II (Quadrilaterals)
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry
The chapter, Practical Geometry, includes the method of constructing a quadrilateral with various parameters given. The chapter consists of 5 exercises, each dealing with different methods of constructing the quadrilateral. For instance, the first exercise deals with the construction of quadrilaterals when the length of four sides and a diagonal are given; similarly, the second exercise involves the method of construction of quadrilaterals when two diagonals and three sides are given, and so on. Hence, we can conclude that learning this chapter will make the students well-versed in all the concepts of quadrilateral for further classes.
Maths Class 8 NCERT Solutions Chapter 4 Exercises |
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– 1 Question (1 Long Answer) |
– 1 Question (1 Long Answer) |
– 1 Question (1 Long Answer) |
– 1 Question (1 Long Answer) |
– 4 Questions (4 Long Answers) |
Also, access the following resources for Class 8 Chapter 4 Practical Geometry at BYJU’S:
- Practical Geometry Class 8 Notes – Chapter 4
- Important Questions Maths Class 8 Chapter 4: Practical Geometry
- RD Sharma Solutions for Class 8 Maths Chapter 18 Practical Geometry (Constructions)
NCERT Solutions for Class 8 Maths Chapter 5 Data Handling
The collection of information that can be used for analysis is known as data. In this chapter, students learn about the organisation and representation of data. Organising the data in a systematic method is referred to as data handling . In this chapter, students learn to represent these data diagrammatically as a pictograph, a bar graph, a double bar graph, a pie chart and a histogram. During the course of this chapter, students will be briefed about the concept of probability or likelihood. There are 3 exercises in this chapter that deal with all the concepts covered in the chapter.
Class 8 NCERT Solutions Maths Chapter 5 Exercises |
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– 5 Questions (5 Short Answers) |
– 5 Questions (3 Long Answers, 2 Short Answers) |
– 6 Questions (2 Long Answers, 4 Short Answers) |
Also, access the following resources for Class 8 Chapter 5 Data Handling at BYJU’S:
- Data Handling Class 8 Notes- Chapter 5
- Important Questions Class 8 Maths Chapter 5 Data Handling
- NCERT Exemplar Class 8 Maths Solutions for Chapter 2 – Data Handling
- RD Sharma Solutions for Class 8 Maths Chapter 23 Data Handling – I (Classification and Tabulation of Data)
NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots
This chapter, Squares and Square Roots, helps the students learn about the concept of square numbers and the square root of a number. The chapter deals with properties of square numbers, interesting patterns that could be learnt using square numbers, finding the square of a number, Pythagorean triplets , finding square roots through various methods, square roots of decimals and much more.
Maths Class 8 NCERT Solutions Chapter 6 Exercises |
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– 9 Questions (9 Short Answers) |
– 2 Questions (2 Short Answers) |
– 10 Questions (3 Long Answers, 7 Short Answers) |
– 9 Questions (3 Long Answers, 6 Short Answers) |
Also, access the following resources for Class 8 Chapter 6 Square and Square Roots at BYJU’S:
- Squares and Square Roots Class 8 Notes: Chapter 6
- RD Sharma Solutions for Class 8 Maths Chapter 3 – Squares and Square Roots
- NCERT Exemplar Class 8 Maths Solutions for Chapter 3 – Squares And Square Roots Cubes And Cube Roots
- Important Questions Class 8 Maths Chapter 6- Squares and Square Roots
NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots
In the chapter, Cubes and Cube Roots, students learn about numerous strategies to find out the cubes and cube roots of a number. The chapter discusses finding the cubes of different numbers, some interesting patterns that could be learnt using cubes and finding the cube roots . There are 2 exercises in the chapter that will help the students understand the basics of cubes and cube roots in depth.
Maths Class 8 NCERT Solutions Chapter 7 Exercises |
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– 4 Questions (4 Short Answers) |
– 3 Questions (2 Long Answers,1 Short Answer) |
Also, access the following resources for Class 8 Chapter 7 Cube and Cube Roots at BYJU’S:
- Cubes and Cube Roots Class 8 Notes: Chapter 7
- Important Questions Class 8 Maths Chapter 7: Cubes and Cube Roots
- RD Sharma Solutions for Class 8 Maths Chapter 4 – Cubes and Cube Roots
NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities
The chapter, Comparing Quantities, helps the students in learning the comparison between the rise and decrease of percentages, market value, sales value, discount, etc. The chapter deals with an important concept that can be used in day-to-day life, Interest. Students learn about simple interest , compound interest calculated half-yearly, quarterly, monthly or yearly, and much more. There are 3 exercises in this chapter which help the students in learning the concept of comparing quantities.
Maths Class 8 NCERT Solutions Chapter 8 Exercises |
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– 6 Questions (1 Long Answer, 5 Short Answers) |
– 10 Questions (4 Long Answers, 6 Short Answers) |
– 12 Questions (6 Long Answers, 6 Short Answers) |
Also, access the following resources for Class 8 Chapter 8 Comparing Quantities at BYJU’S:
- Important Question Class 8 Maths Chapter 8: Comparing Quantities
- NCERT Exemplar Class 8 Maths Solutions for Chapter 9 – Comparing Quantities
- Comparing Quantities Class 8 Notes: Chapter 8
NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities
This chapter, Algebraic Expressions and Identities, helps the students understand the concepts like terms, factors and coefficients related to algebraic expressions. A brief on the basics of monomials , binomials and polynomials is also given in the chapter. Students learn the addition, subtraction and multiplication of algebraic expressions. The concept of identity is also covered in the chapter. The 5 exercises in the chapter cover all the concepts present in algebraic expressions and identities.
Maths Class 8 NCERT Solutions Chapter 9 Exercises |
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– 4 Questions (4 Short Answers) |
– 5 Questions (5 Short Answers) |
– 5 Questions (5 Short Answers) |
– 3 Questions (3 Short Answers) |
– 8 Questions (8 Short Answers) |
Also access the following resources for Class 8 Chapter 9 Algebraic Expressions and Identities at BYJU’S:
- Algebraic Expressions and Identities Class 8 Notes: Chapter 9
- RD Sharma Solutions for Class 8 Maths Chapter 6 – Algebraic Expressions and Identities
- NCERT Exemplar Class 8 Maths Solutions for Chapter 7 – Algebraic Expressions And Identities Factorisation
- Important Questions Class 8 Maths Chapter 9 Algebraic Expressions and Identities
NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes
In this chapter, with the help of 3 exercises present, students learn to visualize solid shapes in different dimensions. The chapter is very interesting since it deals with viewing 3D shapes, mapping the space around us, and learning about faces, edges and vertices. The chapter also discusses Euler’s formula , which states that F + V – E = 2, where F is Faces, V is Vertices, and E is Edges, along with its application.
Class 8 NCERT Solutions Maths Chapter 10 Exercises |
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– 4 Questions (4 Short Answers) |
– 4 Questions (3 Short Answers, 1 Long Answer) |
– 8 Questions (8 Short Answers) |
Also, access the following resources for Class 8 Chapter 10 Visualizing Solid Shapes at BYJU’S:
- Visualising Solid Shapes Class 8 Notes: Chapter 10
- Important Questions Class 8 Maths Chapter 10 Visualising Solid Shapes
- RD Sharma Solutions for Class 8 Maths Chapter 19 Visualising Shapes
- NCERT Exemplar Class 8 Maths Solutions for Chapter 6 – Visualising Solid Shapes
NCERT Solutions for Class 8 Maths Chapter 11 Mensuration
Students in lower classes must have learnt about the area and perimeter of various closed plane figures such as triangles, rectangles, circles, etc. In this chapter, Mensuration , students will learn to solve problems related to the perimeter and area of other plane closed figures like quadrilaterals. Eventually, the students will learn about the surface area and volume of different solid shapes such as a cube, cuboids and cylinders. A total of 4 exercises are present in this chapter.
Maths Class 8 NCERT Solutions Chapter 11 Exercises |
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– 5 Questions (5 Long Answers) |
– 11 Questions (11 Long Answers) |
– 10 Questions (2 Short Answers, 8 Long Answers) |
– 8 Questions (2 Short Answers, 6 Long Answers) |
Also, access the following resources for Class 8 Chapter 11 Mensuration at BYJU’S:
- Mensuration Class 8 Notes- Chapter 11
- Important Questions Class 8 Maths Chapter 11 Mensuration
- RD Sharma Solutions for Class 8 Maths Chapter 20 Mensuration – I (Area of a Trapezium and a Polygon)
- NCERT Exemplar Class 8 Maths Solutions for Chapter 11 – Mensuration
NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers
In the chapter, Exponents and Powers, students learn different concepts, including powers with negative exponents, laws of exponents , use of exponents to express the numbers in standard form and comparison of extremely large numbers with small numbers. The chapter consists of 2 exercises to help the students learn about the topics of exponents and powers.
Maths Class 8 NCERT Solutions Chapter 12 Exercises |
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– 7 Questions (7 Short Answers) |
– 4 Questions (4 Short Answers) |
Also, access the following resources for Class 8 Chapter 12 Exponents and Powers at BYJU’S:
- NCERT Exemplar Class 8 Maths Solutions for Chapter 8 – Exponents And Powers
- Important Questions Class 8 Maths Chapter 12 Exponents And Powers
- RD Sharma Solutions for Class 8 Maths Chapter 2 – Powers
NCERT Solutions for Class 8 Maths Chapter 13 Direct and Inverse Proportions
This chapter contains 2 exercises with questions based on the concepts of direct proportion and inverse proportion. Two quantities, x and y are said to be in direct proportion if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant. On the other hand, two quantities, x and y, are said to be in inverse proportion if an increase in x causes a proportional decrease in y (and vice-versa) in such a manner that the product of their corresponding values remains constant.
Maths Class 8 NCERT Solutions Chapter 13 Exercises |
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– 10 Questions (10 Short Answers) |
– 11 Questions (11 Long Answers) |
Also, access the following resources for Class 8 Chapter 13 Direct and Inverse Proportions at BYJU’S:
- Direct and Inverse Proportions Class 8 Maths Notes – Chapter 13
- NCERT Exemplar Class 8 Maths Solutions for Chapter 10 – Direct And Inverse Proportions
- Important Questions Class 8 Maths Chapter 13 Direct and Inverse Proportions
- RD Sharma Solutions for Class 8 Maths Chapter 10 Direct and Inverse Variations
NCERT Solutions for Class 8 Maths Chapter 14 Factorization
In this chapter, students learn to perform Factorization. The topics covered in this chapter include factors of natural numbers and algebraic expressions , factorisation by regrouping terms and factorisation using identities. The chapter also deals with the division of algebraic expressions that, includes division of a monomial by another monomial, division of a polynomial by a monomial, etc. There are 4 exercises in this chapter that contain questions covering all the topics present in the chapter.
Maths Class 8 NCERT Solutions Chapter 14 Exercises |
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– 3 Questions (3 Short Answers) |
– 5 Questions (5 Short Answers) |
– 5 Questions (5 Short Answers) |
– 21 Questions (21 Short Answers) |
Also, access the following resources for Class 8 Chapter 14 Factorization at BYJU’S:
- RD Sharma Solutions for Class 8 Maths Chapter – 7 Factorization
- Factorisation Class 8 Notes- Chapter 14
- Important Questions Class 8 Maths Chapter 14 Factorization
NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs
In the chapter, Introduction to Graphs, students learn to represent different types of data with various kinds of graphs. The different types of graphs include bar graphs , pie graphs, line graphs and linear graphs. The chapter will help the students in learning how to locate a point and coordinate in a graph. A total of 3 exercises are present in the chapter that will help the students understand the concepts of Graphs.
Class 8 NCERT Solutions Maths Chapter 15 Exercises |
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– 7 Questions (7 Long Answers) |
– 4 Questions (4 Short Answers) |
– 2 Questions (2 Short Answers) |
Also, access the following resources for Class 8 Chapter 15 Introduction to Graphs at BYJU’S:
- Introduction To Graphs Class 8 Notes- Chapter 15
- Important Questions Class 8 Maths Chapter 15: Introduction to Graphs
- NCERT Exemplar Class 8 Maths Solutions for Chapter 12 – Introduction To Graphs
- RD Sharma Solutions for Class 8 Maths Chapter 27 Introduction to Graphs
NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers
Students, so far, have studied various types of numbers, such as natural numbers, whole numbers, integers and rational numbers . They might have also studied a number of interesting properties of these numbers, finding factors, multiples and the relationships among them. Likewise, in this chapter, students can explore the vast genres of numbers in detail. These ideas can help the students in justifying tests of divisibility. There are 2 exercises in this chapter that covers the topic of playing with numbers.
Class 8 NCERT Solutions Maths Chapter 16 Exercises |
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– 10 Questions (Short Answers) |
– 4 Questions (Short Answers) |
Also, access the following resources for Class 8 Chapter 16 Playing with Numbers at BYJU’S:
- Playing With Numbers Class 8 Notes- Chapter 16
- Important Questions Class 8 Maths Chapter 16: Playing with Numbers
- NCERT Exemplar Class 8 Maths Solutions for Chapter 13 – Playing with Numbers
- RD Sharma Solutions for Class 8 Maths Chapter 5 – Playing with Numbers
CBSE Class 8 Maths Solutions of NCERT Book
We are providing chapter-wise NCERT Maths Solutions for Class 8. The solutions provided on this page will help students understand and solve all the NCERT Class 8 mathematics book questions. These solutions are free, and students can view them online on the website or download the PDF.
Solving NCERT Maths question papers and sample papers will also help the students to understand different types of questions as well as the marking scheme. Also, students can learn from NCERT Exemplar Class 8 to practise exemplar problems.
Key Features of BYJU’S NCERT Class 8 Maths Solutions
- These solutions cover all the chapters that are included in the Class 8 Maths book.
- The solutions are given in easy steps to help students understand the concepts better.
- These solutions can be downloaded and referred to at any time and at any place.
- These CBSE 8th Class Maths solutions are available for free, and any student can access them.
These are just a few benefits of using the Solutions of Maths NCERT 8th Class . Students can register with BYJU’S and get the opportunity to learn topics of CBSE or NCERT syllabus for Class 8 Maths or any other Class more effectively. They can learn different topics right from their homes using the internet, where they can browse content on their PCs. Moving on, students can customize their learning experience, and they can do it all at their own pace without worrying about deadlines or any stress. Further, we are providing the best subject experts or mentors who will guide students to learn the subject and its concepts in a more simple and fun manner.
Another benefit that students can experience with BYJU’S is that they can opt to learn NCERT subjects by accessing our solutions anywhere and at any time of the day. In addition, BYJU’S is keen on tracking the progress that students make. Feedback and counselling are provided via periodic assessments. In case students face any doubts while going through the CBSE Class 8 Maths NCERT Solutions , they can always approach our BYJU’S support team to clear all their doubts. Besides, students can bring in all their queries regarding Maths as well as other subjects, including Physics, Chemistry, and Biology. Our responsive team is always ready to answer all types of questions.
Students can also download the BYJU’S app and get complete assistance for Class 8 with a new method of learning through educational videos.
Frequently Asked Questions on NCERT Solutions for Class 8 Maths
Which chapters in ncert solutions for class 8 maths are important to prepare for the exams, do ncert solutions for class 8 maths pdfs help you to prepare for your exams, how do i start practising the syllabus of ncert solutions for class 8 maths , where can i get the chapter-wise answers of the ncert solutions for class 8 maths , leave a comment cancel reply.
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NCERT Solutions For Class 8 Maths
- NCERT Solutions
NCERT Solutions for Class 8 Maths 2024-25 - Free PDF Download
NCERT Solutions of Class 8 cover extensive chapters like Rational Numbers, Practical Geometry, Cubes and Cube Roots, Data Handling, Mensuration, and Factorization. To tackle this, Vedantu offers expertly crafted Maths class 8 NCERT solutions, aligned with CBSE guidelines. These NCERT 8th maths solutions are available in a PDF for the 2024-25 academic year, are ideal for both preparation and revision. They simplify concepts, boosting students understanding and confidence, ultimately helping them score well in exams.
Chapter-Specific NCERT Solutions for Class 10 Maths
Given below are the chapter-wise NCERT Solutions for Class 8 Maths. You can use it as your 8th maths guide. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
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Glance on NCERT Solutions Class 8 Maths
NCERT Solutions for Class 8 Maths for all the chapters and exercises from Chapters 1 to 14 are available.
Using these solutions to practice textbook questions can help students assess their level of preparation and understanding of concepts.
The provided link also offers details about the exam pattern, marks weightage, and question paper design for CBSE Class 8 Maths.
The chapters cover topics such as Whole Numbers, Fractions and Decimals, Rational Numbers, Linear Equations in One Variable, Understanding Quadrilaterals, Visualizing Solid Shapes, Exponents and Powers, Introduction to Graphs, Playing with Numbers, and more.
In addition to solutions, the link provides resources like class notes, important questions and formulas, exemplar solutions, and recommended books for further reference.
NCERT Class 8 Maths Chapter wise Solutions in Hindi
NCERT Solutions for Class 8 Maths Chapter Details, Formulas and Exercises PDF
Chapter 1 - rational numbers.
The first topic in rational numbers is the introduction. You will learn the basics and revise some of the previous topics. You should not skip the introduction; instead, go through it once, as it will help you to understand the basic concepts. There are 2 exercises in the rational numbers chapter of your Class 8 Maths Solutions and maths textbook .
Exercise 1.1 contains 11 questions focusing on properties of numbers. Solve each question and review using the solutions provided. you will learn about commutative, distributive, and other properties, as well as inverses and multiplicative inverses. Keep separate notes for practice and revision.
Exercise 1.2 teaches representing numbers on the number line with 7 questions. Thoroughly practice and revise this exercise. Cover all methods, solve related questions, and learn from examples to understand crucial points.
Topics That are Covered in the Rational Numbers are as follows:
Properties Of Rational Numbers
Representation Of Rational Numbers On The Number Line
Rational Numbers Between Two Rational Numbers
Chapter 1 - Rational Numbers Exercises in PDF Format | |
- 11 Questions & Solutions (11 Short Answers) | |
- 7 Questions & Solutions (7 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 1 of CBSE Class 8 Maths Solutions
Rational Numbers Important Questions
Rational Numbers Important Formulas
Rational Numbers Revision Notes
Rational Numbers NCERT Exemplar Solutions
Rational Numbers RD Sharma Solutions
Rational Numbers RS Aggarwal Solutions
Chapter 2 - Linear Equations in One Variable
This chapter introduces you to the linear equation and its forms. Learn how to solve an equation in one and two variables. The chapter linear equation in one variable comprises 6 exercises, and you have to learn and solve them all.
Exercise 2.1 : Understanding fractions and decimals, operations with fractions and decimals, simplification.
Exercise 2.2 : Comparing and ordering fractions and decimals, addition, subtraction, multiplication, and division of fractions and decimals.
Exercise 2.3 : Fraction and decimal operations, real-life applications.
Exercise 2.4 : Word problems involving fractions and decimals, simplification and conversion.
Exercise 2.5 : Percentage conversion, expressing fractions and decimals as percentages.
Exercise 2.6 : Application of percentages in different scenarios, solving percentage-based problems.
Topics That are Covered in the Linear Equation in One Variable are as Follows:
Solving Equations Which Have Linear Expressions On One Side And Numbers On The Other Side
Some Applications
Solving Equations Having The Variable On Both Sides
Some More Applications
Reducing Equations To Simpler Form
Equations Reducible To The Linear Form
Chapter 2 - Linear Equations in One Variable Exercises in PDF Format | |
- 12 Questions & Solutions (12 Short Answers) | |
- 16 Questions & Solutions (6 Long Answers, 10 Short Answers) | |
- 10 Questions & Solutions (3 Long Answers, 7 Short Answers) | |
- 10 Questions & Solutions (4 Long Answers, 6 Short Answers) | |
- 10 Questions & Solutions (1 Long Answer, 9 Short Answers) | |
- 7 Questions & Solutions (1 Long Answer, 6 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 2 of CBSE Class 8 Maths Solutions –
Linear Equations in One Variable Important Questions
Linear Equations in One Variable Important Formulas
Linear Equations in One Variable Revision Notes
Linear Equations in One Variable NCERT Exemplar Solutions
Linear Equations in One Variable RD Sharma Solutions
Chapter 3 - Understanding Quadrilaterals
In Chapter 3 of your Class 8 Maths NCERT Solutions, there are 5 exercises covering understanding quadrilaterals and polygons. Polygon, the second topic, is crucial.
Exercise 3.1 focuses on identifying and classifying quadrilaterals based on their properties like sides, angles, diagonals, and whether they are convex or concave.
Exercise 3.2 tests your knowledge on the number of diagonals present in different quadrilaterals.
Exercise 3.3 dives deeper into specific quadrilaterals like squares, rectangles, parallelograms, and rhombuses. It explores how these shapes fit into the broader category of quadrilaterals and their unique characteristics.
Exercise 3.4 is a mix of true/false statements and open-ended questions that require applying your understanding of quadrilateral relationships. you will be classifying quadrilaterals based on properties, explaining how certain shapes fit into multiple categories, and recognizing special properties of diagonals in specific quadrilaterals.
Topics Covered in Understanding Quadrilaterals are as Follows:
Sum Of The Measures Of The Exterior Angles Of A Polygon
Kinds Of Quadrilaterals
Some Special Parallelograms
Chapter 3 - Understanding Quadrilaterals Exercises in PDF Format | |
- 7 Questions & Solutions (1 Long Answer, 6 Short Answers) | |
- 6 Questions & Solutions (6 Short Answers) | |
- 12 Questions & Solutions (6 Long Answers, 6 Short Answers) | |
- 6 Questions & Solutions (1 Long Answer, 5 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 3 of CBSE Class 8 Maths Solutions –
Understanding Quadrilaterals Important Questions
Understanding Quadrilaterals Revision Notes
Understanding Quadrilaterals & Practical Geometry NCERT Exemplar Solutions
Understanding Shapes II (Quadrilaterals) RD Sharma Solutions
Chapter 4 - Practical Geometry
Chapter four, practical geometry, is important for scoring well. It contains 3 exercises.
The first key topic is constructing quadrilaterals, where you will learn to construct them with given sides, diagonals, and angles.
Exercise 4.1 instructs you on how to construct quadrilaterals with specific side lengths and given information about angles or radii. you will be drawing arcs and using a compass to meet these requirements.
Exercise 4.2 focuses on constructing triangles with given side lengths and angle measures. Similar to exercise 4.1, you will be using a compass and ruler to create these constructions.
Exercise 4.3 dives into constructing circles with a given radius. you will learn how to use a compass to achieve this.
Exercise 4.4 deals with constructing tangents to a circle from an external point. This exercise will require you to carefully place the compass to draw these tangents accurately.
Exercise 4.5 presents a challenge where you will combine your learnings from the previous exercises. you will be asked to construct more complex shapes that involve multiple circles, tangents, or quadrilaterals.
Topics in Practical Geometry are as Follows:
Constructing A Quadrilateral
Some Special Cases
Chapter 4 - Practical Geometry Exercises in PDF Format | |
- 1 Questions & Solutions (1 Long Answer) | |
- 1 Questions & Solutions (1 Long Answer) | |
- 1 Questions & Solutions (1 Long Answer) | |
- 1 Questions & Solutions (1 Long Answer) | |
- 4 Questions & Solutions (4 Long Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 4 of CBSE Class 8 Maths Solutions –
Practical Geometry Practical Geometry Important Questions
Practical Geometry Important Formulas
Practical Geometry Revision Notes
Practical Geometry RD Sharma Solutions
Chapter 5 - Data Handling
The fifth chapter is data handling , this chapter is important and it holds 11 marks. There are 5 exercises in this chapter, and you have to be thorough with them all. The chapter talks about how you can handle data and make use of them. The first topic is organizing data, in this topic you have to learn how to organize and group data.
Exercise 5.1 deals with how to represent data visually using histograms and bar graphs. It might ask you to decide which type of graph is suitable for a particular set of data and why.
Exercise 5.2 is about interpreting data presented in tables or graphs. It might ask you questions about the data, such as finding the most frequent value or calculating the total.
Exercise 5.3 involve analysing data to draw conclusions. It could ask you to compare different sets of data or identify trends.
Topics that are Covered in Data Handling are as Follows:
Looking for Information
Organising Data
Grouping Data
Circle Graph or Pie Chart
Chance and Probability
Chapter 5 - Data Handling Exercises in PDF Format | |
- 5 Questions & Solutions (5 Short Answers) | |
- 5 Questions & Solutions (3 Long Answers, 2 Short Answers) | |
- 6 Questions & Solutions (2 Long Answers, 4 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 5 of CBSE Class 8 Maths Solutions –
Data Handling Important Questions
Data Handling Revision Notes
Data Handling NCERT Exemplar Solutions
Data Handling 1 (Classification and Tabulation of Data) RD Sharma Solutions
Data Handling RS Aggarwal Solutions
Chapter 6 - Squares and Square Roots
Squares and square roots are primarily used in calculating the constructional area of spaces, calculating financial gains and losses, interest rates, and so on. A very important chapter in Class 8 from an examination point of view.
Exercise 6.1 focuses on patterns involving perfect squares. You might be asked to identify perfect squares or complete a pattern by finding the missing perfect squares.
Exercise 6.2 relates to expressing perfect squares as the sum of consecutive odd numbers.
Exercise 6.3 involves finding the least number that needs to be subtracted from a given number to get a perfect square.
Topics that are Covered in Squares and Square Roots are as Follows:
Properties Of Square Numbers
Some More Interesting Patterns
Finding The Square Of A Number
Square Roots
Chapter 6 - Squares and Square Roots Exercises in PDF Format | |
- 9 Questions & Solutions (9 Short Answers) | |
- 2 Questions & Solutions (2 Short Answers) | |
- 10 Questions & Solutions (3 Long Answers, 7 Short Answers) | |
- 9 Questions & Solutions (3 Long Answers, 6 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 6 of CBSE Class 8 Maths Solutions –
Squares and Square Roots Important Questions
Squares and Square Roots Important Formulas
Squares and Square Roots Revision Notes
Square-Square Root & Cube-Cube Root NCERT Exemplar Solutions
Squares and Square Roots RD Sharma Solutions
Squares-Square Root RS Aggarwal Solutions
Chapter 7 - Cubes and Cube Roots
Cubes and cube roots are also used in calculating the volumes of objects, exponents, interest rates, and so on. This chapter is an advancement over the previous chapter as it introduces students to cubes and cube roots.
Exercises 7.1 covers a topic from cubes and cube roots, which is the focus of exercise 7.2 in NCERT Class 8 Maths Chapter 7.
Exercise 7.2 deals with finding the cube root of perfect cubes. Perfect cubes are integers which can be obtained by cubing an integer. For example, 27 is a perfect cube because 3 x 3 x 3 = 27.
Topics that are Covered in Cubes and Cube Roots are as Follows:
Chapter 7 - Cubes and Cube Roots Exercises in PDF Format | |
- 4 Questions & Solutions (4 Short Answers) | |
- 3 Questions & Solutions (2 Long Answers, 1 Short Answer) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 7 of CBSE Class 8 Maths Solutions –
Cubes and Cube Roots Important Questions
Cubes and Cube Roots Important Formulas
Cubes and Cube Roots Revision Notes
Cubes-Cube Roots NCERT Exemplar Solutions
Cubes-Cube Roots RD Sharma Solutions
Cubes-Cube Roots RS Aggarwal Solutions
Chapter 8 - Comparing Quantities
Comparing different quantities helps in analysing and studying two or more quantities and their properties to be able to understand the relation between them or to differentiate them. This chapter on Comparing Quantities can prove to be very interesting for the students as they are made familiar with the concepts of percentages, discounts, sales, etc.
Exercise 8.1 : This exercise deals with percentages. you will likely practice converting between percentages, fractions, and decimals. You might also solve problems involving calculating a part (percentage) of a whole.
Exercise 8.2 : This exercise explores ratios and proportions. you will probably work on finding ratios between quantities, writing proportions, and solving problems based on proportional relationships.
Exercise 8.3 : This exercise introduces compound interest. you will likely learn the formula for compound interest and solve problems to find the future value of an investment considering interest earned on interest.
Topics Covered in Comparing Quantities are as Follows:
Recalling Ratios And Percentages
Finding The Increase Or Decrease percent
Finding Discounts
Prices Related To Buying And Selling (profit And Loss)
Sales Tax/Value Added Tax
Compound Interest
Deducing A Formula For Compound Interest
Rate Compounded Annually Or Half Yearly (semi Annually)
Applications Of Compound Interest Formula
Chapter 8 - Comparing Quantities Exercises in PDF Format | |
- 6 Questions & Solutions (1 Long Answers, 5 Short Answers) | |
- 10 Questions & Solutions (4 Long Answers, 6 Short Answers) | |
- 12 Questions & Solutions (6 Long Answers, 6 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 8 of CBSE Class 8 Maths Solutions –
Comparing Quantities Important Questions
Comparing Quantities Important Formulas
Comparing Quantities Revision Notes
Comparing Quantities NCERT Exemplar Solutions
Chapter 9 - Algebraic Expressions and Identities
Learning about algebraic expressions and identities helps students find unknown values and retrieve mathematical information. These can also help in manipulating information to solve mathematical problems. Students in this chapter are brief about the various terms associated with Algebraic Expressions and Identities.
Excercise 9.1 & 9.2 : Identify terms, coefficients, and classify polynomials (monomials, binomials, trinomials)
Excercise 9.3 & 9.4 : Not directly related to identities, covers using exponents or performing basic operations on polynomials
Excercise 9.5 : Here, you will use standard identities like the one for squaring a binomial [(x + a)(x + b) = x^2 + (a + b)x + ab] to multiply polynomials, find squares of expressions, and simplify them.
Topics that are Covered in Algebraic Expressions and Identities are as Follows:
What Are Expressions?
Terms, Factors And Coefficients
Monomials, Binomials And Polynomials
Like And Unlike Terms
Addition And Subtraction Of Algebraic Expressions
Multiplication Of Algebraic Expressions: Introduction
Multiplying A Monomial By A Monomial
Multiplying A Monomial By A Polynomial
Multiplying A Polynomial By A Polynomial
What Is An Identity?
Standard Identities
Applying Identities
Chapter 9 - Algebraic Expressions and Identities Exercises in PDF Format | |
- 4 Questions & Solutions (4 Short Answers) | |
- 5 Questions & Solutions (5 Short Answers) | |
- 5 Questions & Solutions (5 Short Answers) | |
- 3 Questions & Solutions (3 Short Answers) | |
- 8 Questions & Solutions (8 Short Answers) |
Chapter 10 - Visualising Solid Shapes
Most of our lives depend on solid shapes and their dimensions. Therefore, learning about solid shapes is important and rewarding in many ways, starting from calculating volumes to constructing monuments and buildings. Students get to learn about the concept of 3D geometry and visualise solid shapes in different dimensions.
Exercise 10.1 This exercise asks you to practice drawing different 3D shapes like cuboids, cones, and cylinders. You can draw these shapes on your notebook to improve your spatial visualization skills.
Exercise 10.2 In this exercise, you will be looking at everyday objects like bricks, pencils, and erasers. Imagine them as 3D shapes and identify their faces, edges, and vertices.
Exercise 10.3 This exercise challenges you to think in the opposite direction. Here, you will be given a specific number of faces and asked to name 3D shapes that have that many faces. For example, if the question asks for shapes with 4 faces, you might identify a pyramid as an answer.
Topics Covered in Visualizing Solid Shapes are as Follows:
Views Of 3d-Shapes
Mapping Space Around Us
Faces, Edges And Vertices
Chapter 10 - Visualizing Solid Shapes Exercises in PDF Format | |
- 4 Questions & Solutions (4 Short Answers) | |
- 4 Questions & Solutions (3 Short Answer, 1 Long Answers) | |
- 8 Questions & Solutions (8 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 10 of CBSE Class 8 Maths Solutions –
Visualising Solid Shapes Important Questions
Visualising Solid Shapes Important Formulas
Visualising Solid Shapes Revision Notes
Visualising The Solid Shapes NCERT Exemplar Solutions
Visualising Solid Shapes RD Sharma Solutions
Chapter 11 - Mensuration
Mensuration is a mathematical tool to find the area, perimeter, volume, etc. of spaces or objects. This chapter is designed to build upon the students’ concept of quadrilaterals and triangles as it deals with measuring the area of these figures. In addition to this, students will also learn how to calculate the area and volume of cubes and cuboidal structures using various formulae. Students must ensure that they solve all the questions included in the exercises of this chapter.
Exercise 11.1 compares the areas of a square and a rectangle with the same perimeter. It helps solidify the understanding that a square often encloses a larger area compared to a rectangle with the same boundary length.
Exercise 11.2 This exercise might involve finding the area of a square plot or solving for the side length of a square given its area. It reinforces the formula for area of a square (side x side).
Exercise 11.3 covers topics related to two-dimensional shapes. It deals with finding the area of a triangle, which requires the formula (1/2 * base * height).
Exercise 11.4 While similar to Exercise 11.3, this exercise likely focuses on finding the area of a parallelogram, another 2D shape. The area formula for a parallelogram is (base x height).
Topics Covered in Mensuration are as Follows:
Let Us Recall
Area Of Trapezium
Area Of A General Quadrilateral
Area Of A Polygon
Solid Shapes
Surface Area Of Cube, Cuboid, and Cylinder
Volume Of Cube, Cuboid, and Cylinder
Volume And Capacity
Chapter 11 - Mensuration Exercises in PDF Format | |
- 5 Questions & Solutions (5 Long Answers) | |
- 11 Questions & Solutions (11 Long Answers) | |
- 10 Questions & Solutions (2 Short Answers, 8 Long Answers) | |
- 8 Questions & Solutions (2 Short Answers, 6 Long Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 11 of CBSE Class 8 Maths Solutions –
Mensuration Important Questions
Mensuration Important Formulas
Mensuration Revision Notes
Mensuration NCERT Exemplar Solutions
Mensuration I (Area of a Trapezium and a Polygon) RD Sharma Solutions
Chapter 12 - Exponents and Powers
Exponents and powers help us shorten or abbreviate values that would otherwise be difficult or too cumbersome to write and make easily readable. Students in this chapter get to be familiar with the concepts of powers and exponents (positive as well as negative).
Exercise 12.1 This exercise focuses on evaluating expressions that involve exponents with positive whole numbers as powers. you will likely be asked to simplify these expressions and find the final answer.
Exercise 12.2 Here, you will get some practice comparing expressions that include exponents. Remember that comparing exponents sometimes requires simplifying the expressions first. This exercise will help you solidify your understanding of how exponents affect the value of an expression.
Exercise 12.3 This exercise introduces you to the concept of exponents with zero as the base. You will learn that any non-zero number raised to the power of 0 results in 1. This is an important foundation for future maths concepts.
Topics Covered in Exponents and Powers are as Follows:
Powers With Negative Exponents
Laws Of Exponents
Use Of Exponents To Express Small Numbers In Standard Form
Chapter 12 - Exponents and Powers Exercises in PDF Format | |
- 7 Questions & Solutions (7 Long Answers) | |
- 4 Questions & Solutions (4 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 12 of CBSE Class 8 Maths Solutions –
Exponents and Powers Important Questions
Exponents and Powers Important Formulas
Exponents and Powers Revision Notes
Exponents and Powers NCERT Exemplar Solutions
Chapter 13 - Direct and Inverse Proportions
Direct and inverse proportions are used mainly to understand how quantities and amounts are related to each other. In direct proportion, the two quantities involved increase/decrease in a manner that their corresponding values remain the same, while the opposite happens in inverse proportion. The exercises provided contains questions involving both the scenarios, and students must attempt to solve them all.
Exercise 13.1 This exercise likely covers the introduction to direct proportion. Direct proportion means that as the value of one quantity increases, the value of the other quantity also increases proportionally. In other words, the product of the two quantities remains constant.
Exercise 13.2 This exercise likely deals with inverse proportion. Inverse proportion means that as the value of one quantity increases, the value of the other quantity decreases proportionally, and vice versa. The product of the two quantities, however, remains constant.
Topics Covered in Direct and Inverse Proportions:
Introduction
Direct Proportion
Inverse Proportion
Chapter 13 - Direct and Inverse Proportions Exercises in PDF Format | |
- 10 Questions & Solutions (10 Short Answers) | |
- 11 Questions & Solutions (11 Long Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 13 of CBSE Class 8 Maths Solutions –
Direct and Inverse Proportions Important Questions
Direct and Inverse Proportions Important Formulas
Direct and Inverse Proportions Revision Notes
Direct and Inverse Proportions NCERT Exemplar Solutions
Direct and Inverse Proportions RD Sharma Solutions
Direct and Inverse Proportions RS Aggarwal Solutions
Chapter 14 - Factorisation
The factorisation is a very important tool in solving quadratic equations. It helps in simplifying complex problems and equations. The factorisation of algebraic expressions and natural numbers are dealt with in this chapter. Students learn how to factorize using factorisation identities, regrouping terms, etc. Moreover, students also learn how to divide a polynomial or a monomial by a monomial and more. Make sure you practice all the 34 questions distributed among the various exercises of this chapter.
Exercise 14.1 deals with finding factors of a given number. you will need to identify all the numbers that divide the given number exactly.
Exercise 14.2 focuses on representing a number as a product of its prime factors. Prime factors are numbers divisible only by 1 and itself.
Exercise 14.3 introduces the concept of Highest Common Factor (HCF). HCF is the largest number that is a factor of two or more numbers.
Exercise 14.4 introduces the concept of Least Common Multiple (LCM). LCM is the smallest number that is a multiple of two or more numbers.
Topics Covered in Factorisation:
What Is Factorisation?
Division Of Algebraic Expressions
Division Of Algebraic Expressions Continued (polynomial ÷ Polynomial)
Can You Find The Error?
Chapter 14 - Factorisation Exercises in PDF Format | |
- 3 Questions & Solutions (3 Short Answers) | |
- 5 Questions & Solutions (5 Short Answers) | |
- 5 Questions & Solutions (5 Short Answers) | |
- 21 Questions & Solutions (21 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 14 of CBSE Class 8 Maths Solutions –
Factorisation Important Questions
Factorisation Important Formulas
Factorisation Revision Notes
Factorisation RD Sharma Solutions
Factorisation RS Aggarwal Solutions
Chapter 15 - Introduction to Graphs
Graphs can prove to be effective visual tools by presenting data and information in an easily consumable manner. Since students have already been introduced to the concept of data handling earlier, this chapter primarily focuses on representing data in different types of graphs such as pie charts, histograms, linear graphs, etc. This chapter takes the challenge up a notch as students learn how to locate points and coordinate them on a graph. To gain confidence in this chapter practice is key which you can achieve by solving all the questions of the exercises.
Exercise 15.1 likely involves interpreting a graph that represents real-world data. You might be asked to read temperatures recorded every hour or analyse distances travelled during a trip based on the graph.
Exercise 15.2 is probably based on the same graph from Exercise 15.1. It will ask you questions about the graph itself, such as the number of data points or intervals shown.
Exercise 15.3 most likely asks you to create graphs based on given data tables. You will need to choose appropriate scales for the axes and plot the data points to visually represent the information.
Topics Covered in the Introduction to Graphs:
Linear Graphs
Chapter 15 - Introduction to Graphs Exercises in PDF Format | |
- 7 Questions & Solutions (7 Short Answers) | |
- 4 Questions & Solutions (4 Short Answers) | |
- 2 Questions & Solutions (2 Short Answers) |
Along with this, students can also download additional study materials provided by Vedantu, for Chapter 15 of CBSE Class 8 Maths Solutions –
Introduction to Graphs Important Questions
Introduction to Graphs Important Formulas
Introduction to Graphs Revision Notes
Introduction to Graphs RD Sharma Solutions
Chapter 16 - Playing with Numbers
The importance of number sense cannot be overlooked. It helps children to think in a flexible manner. The chapter acts as a culmination of the concepts that students learn with respect to numbers. The broad genre of numbers has been discussed in detail in this chapter, and students can use the concepts to justify the test of divisibility. The two exercises of this chapter include a total of 14 questions.
Exercise 16.1 : This exercise involves solving maths problems where letters represent unknown digits in numbers. You will need to use your understanding of place value and basic arithmetic operations to figure out the values of these letters.
Exercise 16.2 : Here, you will use divisibility rules to find the missing digits represented by letters in numbers. The problems ask you to determine the value of the letter that makes the entire number divisible by a specific number (like 3 or 9).
Topics Covered in Playing with Numbers:
Numbers In General Form
Games With Numbers
Letters For Digits
Tests Of Divisibility
Chapter 16 - Playing with Numbers Exercises in PDF Format | |
- 10 Questions & Solutions (10 Short Answers) | |
- 4 Questions & Solutions (4 Short Answers) |
Playing with Numbers Important Questions
Playing with Numbers Important Formulas
Playing with Numbers Revision Notes
Playing with Numbers RD Sharma Solutions
Playing with Numbers RS Aggarwal Solutions
The Class Maths marks weightage has been provided below according to the chapters and the corresponding marks they carry in the exam. The knowledge of uni-wise marks distribution is very important as it allows students to formulate their preparation strategy accordingly.
What are the Key Features of Vedantu’s Class 8 Maths NCERT Solutions?
One of the key features of the solutions is how well-structured and explained it is. You can study and prepare separate topics, download particular sections and prepare them along with their important questions, etc. You can also use the solutions for revision purposes. The most important thing is that you can download these for free at any time. The solutions are properly prepared by the experts for your advantage and hence, you will be able to learn better.
CBSE Class 8 Maths NCERT Solutions 2024-25 - Benefits of the NCERT Solutions for Students
Following are the benefits of the NCERT Class 8 Maths Solutions:
The NCERT Solutions are considered to be helpful study materials for students as these can help in completing their syllabus properly. Students can get access to quality information through these solutions and improve their study sessions a lot more. Following are the benefits of NCERT Maths Book Class 8 Solutions PDF Free Download .
The concepts are explained in much detail and in easy language. So, students will have no trouble understanding the concepts. This is how they can score good marks in their examinations.
The NCERT Solutions for Class 9 Mathematics have been created by some of the best subject matter experts in Vedantu. These teachers and professionals and well-versed in the concepts of mathematics. Also, the solutions are reviewed for accuracy and hence students can definitely rely on the solutions and study materials.
In case there are any topics where you might be a bit confused, the NCERT solutions can be your guide. These solutions have been explained in an easy-to-understand manner by Vedantu experts. Thus, students can use the resources to clear any doubts that they might have about the chapter.
The NCERT Solutions incorporate a Chapter Wise List Of Class 8 Maths which helps the students in finding out the important chapters in the syllabus. They will be able to identify the chapters that have significant weightage in the CBSE examinations and prepare a strategy to score more marks.
While revising the chapters, students don’t have to go through the entire book. The NCERT solutions have explained all the topics and concepts in a very easy manner. While solving the problems, students will learn about the theorems, formulas, and descriptions that are used. Thus, they will easily be able to complete the chapter without any interruptions.
Download 8th Maths Book Answers to Complete Your Syllabus
This is your only chance to get your hands on the chapter-wise NCERT Solutions for Class 8 Maths and boost your preparation. These solutions will help you get a proper understanding of the Maths chapters and topics. Practice with the NCERT solutions and clarify your doubts to improve your hold on the mathematics subject.
NCERT Solution Class 8 Maths Related Links
Check on the additional study materials provided for Class 8 Maths
Important Questions for CBSE Class 8 Maths
Maths Class 8 Formula List
Revision Notes for CBSE Class 8 Maths
RD Sharma Solutions for CBSE Class 8 Maths
RS Aggarwal Class 8 Solutions for Maths book
FAQs on NCERT Solutions For Class 8 Maths
1. What Chapters are Important in the NCERT Class 8 Maths Textbook?
The chapters in Class 8 Maths NCERT Solutions which are important from an examination point of view are:
Linear Equations in One Variable
Understanding Quadrilaterals
Rational Numbers
Data Handling
Comparing Quantities
Squares and Square Roots
Algebraic Expressions and Identities
Mensuration
Introduction to Graphs
Factorization
Playing with Numbers
2. Where can I get for NCERT Class 8 Maths Chapter-wise Solutions in PDF Format?
You can refer to Vedantu to download the NCERT Class 8 Maths Solution Chapter-wise . These solutions are compiled in the form of PDFs corresponding to each chapter and can be easily downloaded just by clicking on the link(s) provided.
3. Can NCERT Solutions for Class 8 Maths PDFs be Downloaded for Free?
Yes, with Veantu you can avail the PDFs of the various chapters of NCERT Maths Class 8 Solutions for absolutely free of cost. You are not required to pay in exchange for downloading the PDF. NCERT Solutions are referred source of study material and you can keep the same handy by downloading from the official website.
4. Can I Score Good Marks if I Study From NCERT Solutions for Class 8 Maths?
All the exercises of the Class 8 Maths NCERT textbook have been extensively covered in these solutions. If you make a habit of regular practice with the aid of these solutions, you can definitely aim to score higher in your exams. Additionally, these solutions are also beneficial in preparing for various competitive examinations.
5. How can I Download Chapter-wise NCERT Solutions for Class 8 Maths?
To download the NCERT Solutions for Class 8 Maths, students can simply click on the links provided on this page. The links will allow them to download the solutions of the corresponding chapters. Additionally, students can also download the Vedantu app to download the solutions from there.
6. Is Studying From NCERT Solutions Enough for CBSE Class 8 Maths to Score Better?
The NCERT Solutions of Class 8 Maths will provide you with an in-depth understanding of the concepts crucial to each of the chapters. While studying using these solutions can definitely help you score better, you can also benefit from solving previous year questions papers and sample papers for the same.
7. Can you provide me with the syllabus of Class 8 Maths?
The syllabus for Class 8 Maths is given below:
Chapter 1 – Rational Numbers
Chapter 2 – Linear Equations in One Variable
Chapter 3 – Understanding Quadrilaterals
Chapter 4 – Practical Geometry
Chapter 5 – Data Handling
Chapter 6 – Square and Square Roots
Chapter 7 – Cube and Cube Roots
Chapter 8 – Comparing Quantities
Chapter 9 – Algebraic Expressions and Identities
Chapter 10 – Visualising Solid Shapes
Chapter 11 – Mensuration
Chapter 12 – Exponents and Powers
Chapter 13 – Direct and Inverse Proportions
Chapter 14 – Factorisation
Chapter 15 – Introduction to Graphs
Chapter 16 – Playing With Numbers
8. Why do most of the students prefer Vedantu to study for Class 8 Maths?
Due to the listed reasons, most of the students choose Vedantu to study for Class 8 Maths:
The NCERT Solutions for all the chapters of Class 8 Maths are available for both English and Hindi medium students on Vedantu.
The PDF files of these solutions are accessible to students.
The creators of the content are subject matter experts.
The language used to write the content is very easy to understand.
Students can clarify their doubts with the help of the teachers.
9. How can I make a stepwise study plan for Class 8 Maths?
Beneath are the points which will assist you in making a detailed study plan for Class 8 Maths:
The most vital thing is managing your time. For time management, construct a timetable.
Concentrate on each chapter by using the NCERT book .
Practice each example and exercise are given in the book.
Resist studying for longer periods and do not pressurise yourself.
Also, play for some time to refresh your mind.
Make use of sample papers to clear your concepts.
10. How should students study class 8 Maths?
Maths requires lots of calculations. Therefore, you need good calculative skills to solve questions. Students can make Class 8 Maths easy if they focus on this subject. They can refer to the NCERT book to read the theory of the chapters. By solving the examples and the exercises, students can clear the concepts. Attend your classes and centralize on what the teacher is teaching. Make notes for the chapters so that you can learn all the formulas easily.
11. Give the chapter-wise marks weightage for CBSE Class 8 Maths.
The marks or weightage allotted to each chapter of CBSE Class 8 Maths is discussed here:
Chapter 1 – 8 marks
Chapter 2 – 10 marks
Chapter 3 – 13 marks
Chapter 4 – 8 marks
Chapter 5 – 11 marks
Chapter 6 – 12 marks
Chapter 7 – 6 marks
Chapter 8 – 16 marks
Chapter 9 – 12 marks
Chapter 10–7 marks
Chapter 11 – 15 marks
Chapter 12 – 6 marks
Chapter 13 – 8 marks
Chapter 14 – 12 marks
Chapter 15 – 12 marks
Chapter 16 – 10 marks
12. Can I use NCERT Solutions for Class 8 Maths as a reference for other competitive exams?
While NCERT Solutions for Class 8 Maths are primarily designed for CBSE students, they can also serve as a valuable reference for other competitive exams, as they cover fundamental mathematical concepts applicable across various syllabi and exam patterns.
13. Are NCERT Solutions for Class 8 Maths suitable for self-study?
Yes, NCERT Solutions for Class 8 Maths are ideal for self-study, as they provide comprehensive explanations and solutions to all exercises. Whether you are studying independently or seeking additional support outside the classroom, these solutions can be immensely helpful.
14. How can NCERT Solutions for Class 8 Maths help improve my grades?
By regularly practicing with NCERT Solutions for Class 8 Maths, you can strengthen your understanding of mathematical concepts and develop problem-solving skills. This, in turn, can lead to improved performance in exams and better grades.
15. Which is the toughest lesson in maths class 8?
The perception of the toughest lesson in Class 8 Maths can vary from student to student. However, concepts like algebraic expressions and equations, as well as mensuration, are often considered challenging by many students.
16. What is important in maths in class 8?
Understanding fundamental concepts and building a strong foundation is crucial in Class 8 Maths. Topics like integers, fractions and decimals, geometry, and understanding basic algebraic concepts are important for further studies in mathematics.
17. Is maths easy in class 8?
Whether maths is easy or difficult depends on individual aptitude, interest, and the effort put into learning. Some students find maths easy, while others may find it challenging. Consistent practice and understanding concepts thoroughly can make it easier.
18. Which is the most easiest chapter in class 8 maths?
The perception of the easiest chapter in Class 8 Maths may vary among students. However, chapters like "Understanding Quadrilaterals" or "Playing with Numbers" are often considered relatively easier compared to others.
19. Who is the father of mathematics?
The ancient Greek mathematician Euclid is often referred to as the "father of geometry," and his work "Elements" laid down the foundations of geometry as a mathematical discipline. While he's not necessarily the father of all mathematics, his contributions are significant in the development of mathematical principles.
NCERT SOLUTIONS FOR CLASS 8
Cbse class 8 study materials.
NCERT Books
NCERT Books for Class 8 Science PDF Download
NCERT Books Class 8 Science : The National Council of Educational Research and Training (NCERT) publishes Science textbooks for Class 8. The NCERT Class 8th Science textbooks are well known for it’s updated and thoroughly revised syllabus. The NCERT Science Books are based on the latest exam pattern and CBSE syllabus.
NCERT keeps on updating the Science books with the help of the latest question papers of each year. The Class 8 Science books of NCERT are very well known for its presentation. The use of NCERT Books Class 8 Science is not only suitable for studying the regular syllabus of various boards but it can also be useful for the candidates appearing for various competitive exams, Engineering Entrance Exams, and Olympiads.
NCERT Class 8 Science Books in English PDF Download
NCERT Class 8 Science Books are provided in PDF form so that students can access it at any time anywhere. Class 8 NCERT Science Books are created by the best professors who are experts in Science and have good knowledge in the subject.
NCERT Books for Class 8 Science – English Medium
The NCERT Science book is a single book and not divided into parts. The book is available in all English, Hindi & Urdu Medium. Students can click on the respective link to download the NCERT Class 8 book.
- Chapter 1: Crop Production and Management
NCERT Solutions for class 8 Science
- Chapter 2: Microorganisms: Friend and Foe
- Chapter 3: Synthetic Fibres and Plastics
- Chapter 4: Materials: Metals and Non-Metals
- Chapter 5: Coal and Petroleum
- Chapter 6: Combustion and Flame
- Chapter 7: Conservation of Plants and Animals
- Chapter 8: Cell – Structure and Functions
- Chapter 9: Reproduction in Animals
- Chapter 10: Reaching the Age of Adolescence
- Chapter 11: Force and Pressure
- Chapter 12: Friction
- Chapter 13: Sound
- Chapter 14: Chemical Effects of Electric Current
- Chapter 15: Some Natural Phenomena
- Chapter 16: Light
- Chapter 17: Stars and The Solar System
- Chapter 18: Pollution of Air and Water
NCERT Books for Class 8 Science – Hindi Medium
- अध्याय 1: फसल उत्पादन एवं प्रबंध
- अध्याय 2: सूक्ष्मजीव: मित्र एवं शत्रु
- अध्याय 3: संश्लेषित रेशे और प्लास्टिक
- अध्याय 4: पदार्थ: धातु और अधातु
- अध्याय 5: कोयला और पेट्रोलियम
- अध्याय 6: दहन और ज्वाला
- अध्याय 7: पौधे एवं जंतुओं का संरक्षण
- अध्याय 8: कोशिका – संरचना एवं प्रकार्य
- अध्याय 9: जंतुओं में जनन
- अध्याय 10: किशोरावस्था की ओर
- अध्याय 11: बल तथा दाब
- अध्याय 12: घर्षण
- अध्याय 13: ध्वनि
- अध्याय 14: विधुत धारा के रासानिक प्रभाव
- अध्याय 15: कुछ प्राकृतिक परिघटनाएँ
- अध्याय 16: प्रकाश
- अध्याय 17: तारे एवं सौर परिवार
- अध्याय 18: वायु तथा जल का प्रदूषण
The NCERT syllabus mainly focuses on this book to make it student-friendly to make it useful for both the students and the competitive exam aspirants. The book covers a detailed Science based on the syllabuses of various boards. NCERT Science Books for Class 8 is perfectly compatible with almost every Indian education state and central boards.
We hope that this detailed article on NCERT Books Class 8 Science helps you in your preparation and you crack the Class 8 exams or competitive exams with excellent scores.
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Assignments For Class 8 Social Science
Free PDF download of Social Assignment for Class 8 with answers created by master educators from the latest syllabus of CBSE Boards. By practicing these Class 8 Social Science Assignments will help you to score more marks in your CBSE Board Examinations. We also give free NCERT Solutions and other study materials for students to make their preparation better.
Students who are searching for better solutions can download the Social Assignment for Class 8 with answers to assist you with revising the whole syllabus and score higher marks in your exam.
This Social Assignment for Class 8 shows up with an answer key with step-by-step answers for students to comprehend the problem at each level and not retain it.
Assignments for Class 8 Social Science have been developed for Standard 8 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 8 Social Science from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 8 Social Science. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Social Science book and get good marks in class 8 exams.
Assignments for Class 8 Social Science as per CBSE NCERT pattern
All students studying in Grade 8 Social Science should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Social Science exam for standard 8. We have made sure that all topics given in your textbook for Social Science which is suggested in Class 8 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.
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All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 8 Social Science teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 8 Social Science Assignments PDF.
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Class 8 Social Science Assignments
We have provided below free printable Class 8 Social Science Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 8 Social Science . These Assignments for Grade 8 Social Science cover all important topics which can come in your standard 8 tests and examinations. Free printable Assignments for CBSE Class 8 Social Science , school and class assignments, and practice test papers have been designed by our highly experienced class 8 faculty. You can free download CBSE NCERT printable Assignments for Social Science Class 8 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Social Science Class 8. Students can click on the links below and download all Pdf Assignments for Social Science class 8 for free. All latest Kendriya Vidyalaya Class 8 Social Science Assignments with Answers and test papers are given below.
Social Science Class 8 Assignments Pdf Download
We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 8 Social Science . Students and teachers can download and save all free Social Science assignments in Pdf for grade 8th. Our expert faculty have covered Class 8 important questions and answers for Social Science as per the latest syllabus for the current academic year. All test papers and question banks for Class 8 Social Science and CBSE Assignments for Social Science Class 8 will be really helpful for standard 8th students to prepare for the class tests and school examinations. Class 8th students can easily free download in Pdf all printable practice worksheets given below.
Topicwise Assignments for Class 8 Social Science Download in Pdf
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Frequently Asked Questions by Class 8 Social Science students
At https://www.cbsencertsolutions.com, we have provided the biggest database of free assignments for Social Science Class 8 which you can download in Pdf
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We have provided the best collection of question bank and practice tests for Class 8 for all subjects. You can download them all and use them offline without the internet.
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All practice test papers and question banks for Class 8 subjects and CBSE Assignments for Class 8 will be really useful for students to properly prepare for the upcoming exams. Class 8th students are advised to free download in Pdf all printable question banks given below. Subjectwise Assignments for Class 8 for Download in Pdf
All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Class 8. Students can click on the links below and download all Pdf Assignments for Mathematics class 8 for free. All latest Kendriya Vidyalaya Class 8 Mathematics Assignments with Answers and test papers are given below.
Science Class 8 Assignments Pdf Download. We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 8 Science. Students and teachers can download and save all free Science assignments in Pdf for grade 8th. Our expert faculty have covered Class 8 important questions and answers for Science as per the latest ...
NCERT Solutions Class 8, prepared by subject experts following the CBSE syllabus, ensures clarity in learning. Table of Content. 1. Class 8 NCERT Solutions - FREE PDF Download. 2. Subject wise NCERT Solutions for Class 8. 3. NCERT Solutions for Class 8: Subject-wise Details. 3.1 NCERT Solutions for Class 8 Maths.
We have provided you CBSE Science Assignment for Class 8 PDF with answers to help students to make their preparation better. Assignments for Class 8 Science have been developed for Standard 8 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of ...
Assignments for Class 8 Mathematics have been developed for Standard 8 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 8 Mathematics from our website as we have provided all topic wise assignments free in PDF ...
Assignments For Class 8. Assignments for Class 8 have been developed for Standard 8 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 8 from our website as we have provided all topic wise assignments free in PDF ...
These are also the Class 8 Maths summary that help you read the portion quickly. Moreover they help you arrive at the Class 8 Maths solutions to the chapter-wise questions answers. All the notes for Class 8 students, subject-wise, are as follows. Class 8 Maths Notes; Class 8 Hindi Study Material (Important Questions) Class 8 Maths Notes for All ...
8th Class Notes (All Subjects) PDF Download for FREE. Class 8 Social Science Notes PDFs are made to help students learn each topic easily. These notes cover important ideas, key points, and details clearly and simply. They break down complex information into easy-to-understand parts, making it easier to remember and understand.
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The following list mentions chapters that have been removed from the NCERT Class 8 English (Honeydew) textbook 2023-24. The Open Window. The Comet — I. The Comet — II. Class 8 students would have a wonderful learning experience from all these NCERT Solutions for Class 8 and prepare them to write the exams effectively.
NCERT Solutions for Class 8 Maths CBSE 2023-24 Edition - Free PDF Download. NCERT Solutions for Class 8 Maths includes all the questions provided in the textbook that is prescribed in accordance with the CBSE Board. The syllabus given for all the classes is completely based on the NCERT curriculum. Hence, preparing for exams using NCERT ...
These NCERT 8th maths solutions are available in a PDF for the 2024-25 academic year, are ideal for both preparation and revision. They simplify concepts, boosting students understanding and confidence, ultimately helping them score well in exams. 1. NCERT Solutions for Class 8 Maths 2024-25 - Free PDF Download.
All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in English Class 8. Students can click on the links below and download all Pdf Assignments for English class 8 for free. All latest Kendriya Vidyalaya Class 8 English Assignments with Answers and test papers are given below.
All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Algebraic Expressions And Identities Class 8. Students can click on the links below and download all Pdf Assignments for Mathematics Algebraic Expressions And Identities class 8 for free. All latest Kendriya Vidyalaya Class 8 ...
Students can click on the respective link to download the NCERT Class 8 book. Chapter 1: Crop Production and Management. NCERT Solutions for class 8 Science. Chapter 2: Microorganisms: Friend and Foe. Chapter 3: Synthetic Fibres and Plastics. Chapter 4: Materials: Metals and Non-Metals.
Free PDF download of Social Assignment for Class 8 with answers created by master educators from the latest syllabus of CBSE Boards. By practicing these Class 8 Social Science Assignments will help you to score more marks in your CBSE Board Examinations. We also give free NCERT Solutions and other study materials for students to make their ...
All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Social Science Class 8. Students can click on the links below and download all Pdf Assignments for Social Science class 8 for free. All latest Kendriya Vidyalaya Class 8 Social Science Assignments with Answers and test papers are given below.