maths assignment class 8

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Assignments For Class 8 Mathematics

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 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 Mathematics. 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 Mathematics book and get good marks in class 8 exams.

Assignments for Class 8 Mathematics as per CBSE and NCERT pattern

More Assignments for Class 8 Mathematics

Assignments for Class 8 Mathematics as per CBSE NCERT pattern

All students studying in Grade 8 Mathematics should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics exam for standard 8. We have made sure that all topics given in your textbook for Mathematics 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.

Some advantages of Free Assignments for Class 8 Mathematics

• Solving Assignments for Mathematics Class 8 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
• By solving one assignments given in your class by Mathematics teacher for class 8 will help you to keep in touch with the topic thus reducing dependence on last minute studies
• You will be able to understand the type of questions which are expected in your Mathematics class test
• You will be able to revise all topics given in the ebook for Class 8 Mathematics as all questions have been provided in the question banks
• NCERT Class 8 Mathematics Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
• Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 8 Mathematics 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 Mathematics Assignments PDF.

You can download free assignments for class 8 Mathematics from https://www.assignmentsbag.com

You can get free PDF downloadable assignments for Grade 8 Mathematics from our website which has been developed by teachers after doing extensive research in each topic.

On our website we have provided assignments for all subjects in Grade 8, all topic wise test sheets have been provided in a logical manner so that you can scroll through the topics and download the worksheet that you want.

You can easily get question banks, topic wise notes and questions and other useful study material from https://www.assignmentsbag.com without any charge

Yes all test papers for Mathematics Class 8 are available for free, no charge has been put so that the students can benefit from it. And offcourse all is available for download in PDF format and with a single click you can download all assignments.

https://www.assignmentsbag.com is the best portal to download all assignments for all classes without any charges.

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NCERT Solutions for Class 8 Maths

NCERT solutions for class 8 maths comprise the solutions to NCERT textbook problems that are explained in detail helping students to grasp a concept easily and effectively. If a student has a doubt while attempting a sum, she can easily overcome it by using these solutions as a reference. These class 8 maths NCERT solutions are prepared by math wizards who find the best possible techniques to solve a particular question enabling students to easily apply concepts to similar types of sums.

NCERT solutions class 8 maths are extremely helpful for students preparing for competitive exams such as Olympiads and school exams such as units, half-yearlies, and finals. They also allow students to revise all concepts taught to them in previous middle school classes. CBSE NCERT solutions for class 8 maths help students strengthen their practical skills and theoretical knowledge so that they can apply it to real-life examples.

NCERT Solutions for Class 8 Maths PDF Download

Class 8 maths NCERT solutions are easy to understand as they are created for an audience with varying learning styles. Thus, students can use these solutions to structure a lesson plan and study accordingly to get the best results. These NCERT solutions for class 8 maths are also available for free pdf download. You can find the links to all the pdfs listed below.

Class 8 Maths NCERT Solutions Chapter 1 to 16

It is always advisable to study any topic by regularly practicing sums. Hence, you must revisit these chapter-wise NCERT solutions for class 8 maths to develop a good understanding of the subject. To improve your knowledge of different topics such as linear equations, geometry, data handling, exponents, etc. use the class 8 NCERT maths textbook given below.

☛ Download Class 8 Maths NCERT Book

NCERT Solutions for Class 8 Maths Chapter 1

NCERT solutions for class 8 maths chapter 1 rational numbers introduce young minds to the concept of rationals. Students learn about the various properties that can be applied to arithmetic operations while dealing with different classes of numbers and number line representation.

Class 8 Maths Chapter 1 Rational Numbers

Topics Covered: Representation of numbers on a number line, closure property, commutativity, associativity, distributive property, negative numbers, reciprocals, multiplicative and additive identities are topics covered.

Total Questions: The chapter has a total of 18 questions. 8 are very easy, 6 slightly more difficult and 4 are tough sums.

NCERT solutions for class 8 maths chapter 1 gives students an idea of how to use the number line to represent rationals. It also teaches students how to find a rational number between two given rationals.

Class 8 Maths NCERT Solutions Chapter 2

Class 8 maths NCERT solutions chapter 2 linear equations in one variable introduces the concepts of linear equations and solving them using simple algebraic equations. In this chapter, students learn to convert a problem sum into a mathematical linear equation . Students must instill a good understanding of this chapter as the concepts learned are used in upcoming classes.

Class 8 maths NCERT solutions chapter 2 linear equations form the basis of many chapters taught in higher grades thus, students can use the following study tips to improve their understanding of the topic.

• Develop in-depth knowledge of the topic by constant practice
• Read the question carefully before forming the linear equation

Class 8 Maths Chapter 2 Linear Equations in One Variable

Topics Covered: Transposing expressions between LHS (left-hand side) and RHS (right-hand side) to solve a linear equation, deriving expressions from word problems, reducing equations to a simpler form are some of the most important topics.

Total Questions: Chapter 2 linear equations in one variable have 65 well-structured questions that can be split into 20 simple calculation sums, 38 intermediate levels, and 7 tough problems.

NCERT Solutions Class 8 Maths Chapter 3

NCERT solutions class 8 maths chapter 3 understanding quadrilaterals comprise classification of polygons, types of quadrilateral and their elements, angles of specific quadrilaterals, and properties of special parallelograms.

Class 8 Maths Chapter 3 Understanding Quadrilaterals

Topics Covered: Concave, convex polygons , questions on calculating the exterior angle, and determining the length of diagonals of a parallelogram .

Total Questions: There are a total of 31 questions in class 8 maths chapter 3 understanding quadrilaterals. 8 are tough problems, 7 are easy and 16 are of medium level.

NCERT Solutions for Class 8 Maths Chapter 4

NCERT solutions for class 8 maths chapter 4 practical geometry equip students with the tools necessary to construct quadrilaterals when different restraints such as lengths of sides, diagonals, or measures of angles are given.

Class 8 Maths Chapter 4 Practical Geometry

Topics Covered: Constructing quadrilaterals when two diagonals and three sides are given, three sides and two included angles are mentioned as well as two adjacent sides and three angles are known are the topics that fall under the scope of class 8 maths NCERT solutions.

Total Questions: Chapter 4 practical geometry has 7 questions in total. Each problem is divided into 3-4 subparts with easy, moderate, and hard sums.

Once students finish practicing these NCERT solutions for class 8 maths chapter 4 they will be able to use a ruler and compass to successfully construct different quadrilaterals such as squares.

Class 8 Maths NCERT Solutions Chapter 5

Class 8 maths NCERT solutions chapter 5 data handling teaches to organize data using graphical methods, introduction to probability , and real-life applications of probability.

Class 8 Maths Chapter 5 Data Handling

Topics Covered: Class 8 maths NCERT Solutions comprise of topics such as data representation using pictograph , bar graph , pie chart , probability, and how to determine the outcome of an event.

Total Questions: Chapter 5 data Handling has a total of 16 sums that can be divided into 3 simple questions, 8 moderate and 5 tough problems.

NCERT Solutions Class 8 Maths Chapter 6

NCERT solutions class 8 maths chapter 6 squares and square roots help students to get an insight into what are squares of a number, their properties, Pythagorean triplets, introduction to square roots, and division method to find a square root .

NCERT Solutions Class 8 Maths Chapter 6 Study Tips:

Squares and square roots can be a difficult topic due to the computations involved. The following are some pointers to improve your skills in solving questions.

• Practicing regularly enables a student to improve her speed and accuracy in solving questions.
• Try to find patterns within questions to attempt the problem faster.

Class 8 Maths Chapter 6 Squares and Square Roots

Topics Covered: Identifying the square of a number, patterns formed by squares, determining square roots using different techniques, perfect square , and finding the square roots of decimals are some important topics covered.

Total Questions: There are 30 questions covered in class 8 maths chapter 6 squares and square roots, 10 of which are difficult problems, 11 are easy and 9 are medium level.

NCERT Solutions for Class 8 Maths Chapter 7

NCERT solutions for class 8 maths chapter 7 cubes and cube roots build on the previous chapter for introducing students to the concept of cube root .

Class 8 Maths Chapter 7 Cubes and Cube Roots

Topics Covered: Identification of perfect cubes , and determining cube roots by prime factorization . Chapter 7 cubes and cube roots have 7 questions. 3 are easy such as true-false sums, 2 are tough and 2 are medium level.

Class 8 Maths NCERT Solutions Chapter 8

Class 8 maths NCERT solutions chapter 8 comparing quantities help students amass the tools required to calculate the ratio and proportion of quantities, percentage increase or decrease in a quantity, profit and loss , taxation, and determining the interest annually or semi-annually.

Important Formulas:

• Cost Price = Buying price + Overhead expenses
• Discount = Marked Price - Sale Price
• Sales tax = Tax% of Bill Amount
• Annually Compounded Interest = P(1 + R/100) n
• Semi-annually Compounded Interest = P(1 + R/200) 2n

Class 8 Maths Chapter 8 Comparing Quantities

Topics Covered: Class 8 maths NCERT solutions cover topics such as finding the ratio and proportion, determining the percentage , measuring the cost price, selling price, profit or loss incurred from a transaction, and determining the corresponding compound interest .

Total Questions: Chapter 8 comparing quantities has 29 questions. 13 are long answer types, 10 are intermediate and 6 are simple sums.

NCERT Solutions for Class 8 Maths Chapter 9

NCERT solutions for class 8 maths chapter 9 algebraic expressions and identities explain the basic terms associated with algebra . Students learn about the different categories of algebraic expressions and how to perform addition , subtraction , and multiplication on them.

Important Algebra Formulas :

• (a + b) (a - b) = a 2 - b 2
• (a - b) 2 = a 2 - 2ab + b 2
• (a + b) 2 = a 2 + 2ab + b 2
• (x + a) (x + b) = x 2 + (a + b)x + ab

Class 8 Maths Chapter 9 Algebraic Expressions and Identities

Topics Covered: Applying arithmetic operations to algebraic expressions, multiplying different polynomials , and solving questions using algebraic identities are essential topics covered in this chapter.

Total Questions: Chapter 9 algebraic expressions and identities have a pool of 25 well-structured questions out of which 8 are simple identity-based problems, 12 are intermediate and 5 are challenging sums.

NCERT Solutions for Class 8 Maths Chapter 10

NCERT solutions for class 8 maths chapter 10 visualizing solid shapes prepare students to develop the powers required to identify a solid shape and its attributes. This chapter is very useful for upcoming lessons such as mensuration. The most crucial benefit of this chapter is that it helps students in augmenting their visualization powers and analytical skills.

Class 8 Maths Chapter 10 Visualising Solid Shapes

Topics Covered: Class 8 maths NCERT solutions chapter 10 encompass topics to determine the different features of a 3D object such as the number of faces as well as applying Euler’s formula that gives a relationship between the faces, edges, and vertices of a solid shape.

Total Questions: There are a total of 15 sums in chapter 10 visualizing solid shapes. 10 are simple problems, 2 are difficult and 3 are moderate level sums.

Class 8 Maths NCERT Solutions Chapter 11

Class 8 maths NCERT solutions for chapter 11 mensuration are designed to help students calculate the areas of the different 2D shapes and 3D shapes . It also includes formulas and methods to determine the volume of basic solid figures . This chapter is very scoring and makes its way on several exams.

NCERT Solutions Class 8 Maths Chapter 11 Preparation Tips:

Mensuration is one of the most important chapters necessary for a student’s educational career. It can be a confusing topic thus, students can follow the tips listed below to enhance their learning.

• Develop visualization skills.
• Understand the formulas before memorizing them.
• Try to apply the concepts learned to daily-life objects such as finding the surface area of a cylindrical water bottle.

Class 8 Maths Chapter 11 Mensuration

Topics Covered: Determining the area of triangles , rhombuses , rectangles , circles , and other special figures, finding the total surface area , as well as the volume of cubes , cuboids , and cylinders , are the topics that are a part of class 8 maths NCERT solutions.

Total Questions: Chapter 11 incorporates 34 exemplar problem sums. 7 are short answer questions, 10 are moderately complex and 17 are complicated sums that required advanced thinking on a student’s part.

Class 8 Maths NCERT Solutions Chapter 12

Class 8 maths NCERT solutions chapter 12 exponents and powers provide a detailed analysis of exponents and their laws that can be used to simplify the representation of very small or large numbers. Exponents are required as they greatly reduce the time taken in working with a number having colossal digits.

Important Formulas in NCERT Solutions Class 8 Maths Chapter 12

• a m × a n = a m+n
• a m ÷ a n = a m-n
• (a m ) n = a mn

Class 8 Maths Chapter 12 Exponents and Powers

Topics Covered: Class 8 maths NCERT solutions chapter 12 incorporates topics such as expressing numbers in the form of exponents and applying the laws of negative exponents .

Total Questions: There are 11 questions in class 8 maths chapter 12 exponents and powers wherein 4 are based on laws of exponents , 3 are medium level and 2 are complicated problems.

NCERT Solutions for Class 8 Maths Chapter 13

NCERT solutions for class 8 maths chapter 13 direct and inverse proportions have a step-wise explanation of problems to introduce students to the concept of proportions. It helps students get comfortable in establishing a correspondence between two related quantities.

Class 8 Maths Chapter 13 Direct and Inverse Proportion

Topics Covered: Different formats of questions on direct proportion, identifying inverse proportion, and determining the value of quantities following this relationship, are the essential topics covered under class 8 maths NCERT solutions chapter 13.

Total Questions: Chapter 13 direct and inverse proportion has 21 well-structured problems. 5 are straightforward relationship identification questions, 10 are moderately difficult and 6 are long answer type sums.

NCERT Solutions for Class 8 Maths Chapter 14

NCERT solutions for class 8 maths chapter 14 factorization give students a clear understanding of how to use various techniques to factorize algebraic expressions and the steps required to divide the different types of polynomials . Factorization forms an integral part of mathematics and hence, is a very important topic.

Class 8 Maths Chapter 14 Factorisation

Topics Covered: Factorisation by methods such as common factors, regrouping terms, using identities to solve problems fall under this chapter. Additionally, division of polynomials , and correcting errors is also part of this chapter.

Total Questions: Chapter 14 factorization has 31 questions that can be further categorized as 13 easy, 8 medium, and 10 long answer sums.

NCERT Solutions Class 8 Maths Chapter 15

NCERT solutions for class 8 maths chapter 15 introduction to graphs is a chapter that is needed to make statistical computations. Students can also develop crystal clear concepts on linear graphs using the coordinate system and their applications.

Preparation Tips:

NCERT solutions for class 8 chapter 15 introduction to graphs give students a pictorial representation of data. The points listed below can further facilitate the process of learning this lesson.

• Draw the graphs and plot the data.
• Understand the relation between the variables before making a graph.

Class 8 Maths Chapter 15 Introduction to Graphs

Topics Covered: A detailed description of pie charts, bar graphs, histograms , and line graphs are given in the Class 8 maths NCERT solutions. Other topics include linear graphs and how to apply them to daily life problems. Chapter 15 introduction to graphs has 13 sums. 7 are complex analytical questions, 2 are intermediate and 4 are easy problems.

NCERT Solutions Class 8 Maths Chapter 16

NCERT solutions class 8 maths chapter 16 playing with numbers gives a fun way to students for exploring the attributes of numbers. This chapter helps students to identify the divisibility of numbers by listing certain pointers and tricks that can be used to increase calculation speed.

Class 8 Maths Chapter 16 Playing with Numbers

Topics Covered: The general form of numbers, creating interesting games by digit reversal, and forming numbers based on a few constraints are topics in NCERT solutions class 8 maths . This chapter also includes divisibility tests for 10, 9, 3, 5, and 2. Chapter 16 playing with numbers has 14 sums. 5 are simple problems based on games, 7 are medium-level based on divisibility tests, and 2 are tough.

Class 8 Maths NCERT Solutions Important Formulas

Formulas are expressions that give the relationship between two or more quantities. These are constructed using some logical rules and aid students in reducing the time taken to solve questions. Students must develop a good understanding of the concept behind math formulas before memorizing them. Some of the vital formulas covered in NCERT solutions for class 8 maths are given below:

TSA of Solid Shapes

• Cuboid = 2(lb + bh +lh)
• Cube = 6a 2
• Right Circular Cone = πr (l + r)

LSA/CSA of Solid Shapes

• Cuboid = 2(l + b)
• Cube = 4a 2
• Right Circular Cone = πrl
• Cuboid = lbh
• Right Circular Cone = ⅓ × πr 2 h
• (x + a)(x + b) = x 2 + (a + b)x + ab
• (x - a)(x - b) = x 2 - (a + b)x + ab
• (x - a)(x + b) = x 2 + (b - a)x - ab

Importance of NCERT Solutions for Class 8 Maths

Class 8 Maths NCERT Solutions are extremely helpful for CBSE students because they provide a step-wise and detailed analysis of all NCERT sums. There are several advantages of using these well-curated class 8 maths NCERT solutions a few of which are listed below.

• Clear Concept Formation: When students solve a sum they are bound to have doubts and may not be able to proceed further. The detailed explanation of class 8 maths NCERT solutions helps students to understand the underlying concepts and improve in the problematic areas. Also, they give the steps in an easy format to combat any confusion. Thus, these solutions help to build a robust mathematical foundation.
• Organized Studying: These NCERT class 8 maths solutions help students to create a schedule wherein they can cover the entire syllabus well within the given time limit. Additionally, it also gives them ample time to revise all questions. The solutions give a quick overview to students on how to solve problems. During the examination days, students can quickly skim through the solutions helping them recall how to attempt different categories of questions.
• Exam Preparation: The NCERT solutions for class 8 maths give students an insight into how to solve a question with great skill and efficiency. They provide students with tips and tricks that can be used to score the best possible grade.

FAQs on NCERT Solutions Class 8 Maths

Why are ncert solutions for class 8 maths important.

NCERT Solutions for class 8 maths are important as they give students a means to cross-check their answers to exercise questions. These class 8 maths NCERT solutions are self-explanatory and provide students with a detailed description of the steps they need to follow to get the right answer by using the most efficient method.

Do I Need to Practice all Questions Provided in Class 8 Maths NCERT Solutions?

The CBSE school exams are based on the syllabus in the NCERT textbooks hence, it becomes vital for students to practice all questions solved in class 8 maths NCERT solutions. Regular revision and conscientious effort will go a long way in scoring good marks during any examination be it a school test or a competitive paper.

Do I Need to Make Notes while Referring to NCERT Solutions Class 8 Maths?

It is always advisable to make notes while studying the NCERT Solutions Class 8 Maths as they act as guides for students when they revise those sums. In addition to this, notes help students recall concepts used in a problem at a glance. This drastically reduces the time taken to go over a problem during examination time.

How are NCERT Solutions for Class 8 Maths Promoting Problem Solving in Students?

NCERT solutions for class 8 maths explain how to decipher a question by breaking it down into smaller parts. By using these techniques students can not only develop a problem-solving mindset but can also enhance their mathematical acumen.

What are the Best Ways to Learn Concepts Covered in NCERT Solutions Class 8th Maths?

The best way to learn any concept covered in the NCERT solutions class 8 maths is by practicing it. The first step is to build a strong conceptual foundation of that topic by thoroughly studying the theory. The next step is to solve numerous sums on the same till a student gains confidence in working with it. Thus, he can breeze through exams without getting flustered.

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

There are 16 chapters in the class 8 maths NCERT solutions . The topics such as mensuration, graphs, factorization, exponents, etc lay the groundwork for higher classes. As mathematics is a subject where all topics are interlinked thus, it is important to be well versed in all these chapters to avoid any confusion in higher classes.

What are the Important Formulas in NCERT Solutions for Class 8 Maths?

Formulas covered in the NCERT solutions for class 8 maths based on mensuration and algebraic expressions are vital for a student’s knowledge. However, it is necessary to give equal importance to other formulas as well because if not studied they can cause a gap in a student’s educational journey. Also, to crack a question and solve it expeditiously, knowledge of formulas is a must.

Why Should I Practice NCERT Solutions for Class 8 Maths Regularly?

The only way to score a good grade in examinations is by practicing these NCERT solutions for class 8 maths regularly. Practice helps a student to master the subject within no time to get the best possible grades. It also brings about an improvement in his mathematical skills and abilities.

Are Class 8 Maths NCERT Solutions Sufficient for CBSE Exams?

Class 8 maths NCERT solutions are sufficient for students to clear the CBSE exams as they provide explanations to the well-researched NCERT questions. In addition to this, the CBSE exam’s paper pattern is based on the syllabus given in the NCERT textbooks. However, to enhance a student’s learning abilities, consulting other reference books on the same topic is also advisable.

Why Choose Cuemath for Class 8 Maths NCERT Solutions?

Cuemath is an amazing online education  platform that provides reliable, precise, and well-thought-out class 8 maths NCERT solutions. These solutions have been given by math experts and IIT graduates ensuring that students have a holistic learning experience.

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Class 8 - Maths

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Updated according to new NCERT - 2023-24 NCERT Books.

NCERT Solutions of all exercise questions and examples have been solved for Class 8 Maths. Answers to all questions have been solved without missing a step, with detailed explanation of the concepts as well.

In teachoo, each chapter is divided into - Serial Order Wise, and Concept Wise

In Serial Order Wise, the chapter is taught according to the NCERT Book - divided into exercises and examples.

You can check it if you have a doubt in a particular question, click on an exercise link under Serial Order Wise

The Teachoo way of doing a chapter is from Concept Wise.

Each chapter is divided into concepts, first the concept is explained, and then the questions of that concept. Easiest question first, difficult questions later.

This is a great method to do the chapter when you're studying it for the first time, or revising.

In Class 8, the chapters and its topics include

• Chapter 1 Rational Numbers - What are Natural Numbers, Whole Numbers, Integers, Rational numbers. How are they related. Properties of rational numbers like Closure, Commutativity, Associativity, Distributivity. Additiving Identity and Additive Inverse. Multiplicative Identity and Multiplicative inverse. Rational numbers on the number line, Rational numbers between two rational numbers 
• Chapter 2 Linear Equations in One Variable  - What are Equations, What are linear Equations in one variable, Solving Linear Equations, Making equations from Statements and then solving
• Chapter 3 Understanding Quadrilaterals - Curves - Simple, Closed, Polygons - Convex, Concave, Diagonal of a polygon, Regular and Irregular polygons, Angle sum property of polygons, Sum of exterior angle of a polygon, Interior and Exterior Angle of a Regular Polygon.Type of Quadrilaterals - Trapezium, Kite, Parallelogram, Rhombus, Rectangle, Square and their properties
• Chapter 4 Practical Geometry - Using the properties studied in Chapter 3, we will learn how to construct Quadrilaterals - When four sides and one diagonal are given,  When two diagonals and three sides are given, When two adjacent sides and three angles are given, When three sides and two included angles are given, When other special properties are known
• Chapter 5 Data Handling  - We learn what is Data, how to represent data - pictograph, bar graph, double bar graph, How to draw a frequency distribution table, drawing a grouped frequency distribution table, reading a histogram, drawing a histogram, Reading a Pie chart (Circle Graph), Drawing a circle graph, Chance, Probability, Finding Probability 
• Chapter 6 Squares and Square Roots - What are square numbers, Properties of square number, Unit digit of square numbers, Solving Patterns, Finding squares without multiplication (using properties (a + b) 2 , (a - b) 2 ), What is a Pythagorean triplet, What is square root, Symbol for Square root, Finding Square root through repeated subtraction, Finding Square root through prime factorisation, Finding Square root by division method (of numbers, as well as decimal numbers) 
• Chapter 7 Cubes and Cube Roots - What is a cube, What are Hardy-Ramanujan Numbers, Unit digit of Cubes, Properties of cube numbers, Checking if number is a perfect cube, What is cube root, Symbol for cube root, Finding cube root through prime factorization, Finding cube root through estimation
• Chapter 8 Comparing Quantities - Recalling what are ratios and percentages, how to convert ratio into percentage, finding percentage, Finding increase or decrease percent, Finding discount, discount percentage, Selling Price, Cost Price, Profit or Loss, Profit percentage or Loss percentage, What is simple interest, Compound Interest, Compound Interest Formula, Compound Interest when interest is compounded half yearly, Compound Interest for Fraction years
• Chapter 9 Algebraic Expressions and Identities - What is expression; Terms, Factors and Coefficients of Expressions, What are monomials, binomials, trinomials, polynomials; Like and unlike terms, Addition, Subtraction,Multiplication and Division of Algebraic Expressions, Some Algebra Identities
• Chapter 10 Visualising solid shapes  - We learn what is a 3 Dimensional Shape, Front View, Top View, Side View of 3D Objects, How to read a map, and what is scale in a map, Faces, Edges and Vertices of Polyhedrons, and Euler's Formula
• Chapter 11 Mensuration - Perimeter and Area of different Shapes like Rectangle, Square, Triangle, Parallelogram, Circle, Finding Area of Trapezium, Finding Area of a General Quadrilateral, Area of Rhombus, Finding Area of Polygons by dividing it into different parts, Solid  Shapes, Lateral (or Curved) Surface Area, Total Surface Area, Volume of Cube, Cuboid and Cylinder
• Chapter 12 Exponents and Powers - What is exponent and base of a number like 10 24 , Numbers with negative exponents, Law of Exponents with positive and negative powers, Converting very small, and very big numbers into standard form
• Chapter 13 Direct and Inverse Proportions - What is Direct Proportion, examples of things in direct proportion, and some questions on it. Similarly, what is indirect proportion and solving questions with indirect proportion
• Chapter 14  Factorization  - We factorise algebra expressions using different methods like - Method of Common Factors, By Regrouping Terms, Using Identities, Using Splitting the middle term method, Dividing Algebra Expressions, Finding Errors in some questions
• Chapter 15 Introduction to Graphs  - We remember common graphs like Bar Graph, Double Bar Graph, Circle Graph (Pie Chart), Histogram, We study what is a line graph, How to read a line graph, then what is linear graph, What is a point in the graph, coordinates of a point in the graph, and plotting a linear graph
• Chapter 16 Playing with Numbers - In this chapter, we will do some questions where we need to find letters while doing addition or multiplication, and then we will study divisibility of numbers and solve some questions

Note : When you click on a link in the chapter, the first question will be opened. To check other questions and concepts, you can click on next or check the arrowed list which has the list of questions. Important Questions have also been marked

Click on a chapter below to get started.

Chapter 1 Class 8 Rational Numbers

Chapter 2 class 8 linear equations in one variable, chapter 3 class 8 understanding quadrilaterals, practical geometry, chapter 4 class 8 data handling, chapter 5 class 8 squares and square roots, chapter 6 class 8 cubes and cube roots, chapter 7 class 8 comparing quantities, chapter 8 class 8 algebraic expressions and identities, visualising solid shapes, chapter 9 class 8 mensuration, chapter 10 class 8 exponents and powers, chapter 11 class 8 direct and inverse proportions, chapter 12 class 8 factorisation, chapter 13 class 8 introduction to graphs, playing with numbers.

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NCERT Solutions for Class 8 Maths (Chapter Wise)

Cbse class 8 maths solutions guide.

Shaalaa.com provides the CBSE Class 8 Maths Solutions Digest. Shaalaa is undoubtedly a site that most of your classmates are using to perform well in exams.

You can solve the Class 8 Maths Book Solutions CBSE textbook questions by using Shaalaa.com to verify your answers, which will help you practise better and become more confident.

CBSE Class 8 Maths Textbook Solutions

Questions and answers for the Class 8 Maths Textbook are on this page. NCERT Solutions for Class 8 Maths Digest CBSE will help students understand the concepts better.

NCERT Solutions for Class 8 Maths Chapterwise List | Class 8 Maths Digest

The answers to the NCERT books are the best study material for students. Listed below are the chapter-wise NCERT Maths Class 8 Solutions CBSE.

•  • 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: Squares and Square Roots
•  • Chapter 7: Cubes 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
• Secondary School (English Medium) (5 to 8) Class 8 CBSE

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Chapters covered in NCERT Solutions for Mathematics Class 8

Ncert solutions for class 8 mathematics (8th) chapter 1: rational numbers, ncert class 8 mathematics (8th) chapter 1: rational numbers exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 2: Linear Equations in One Variable

Ncert class 8 mathematics (8th) chapter 2: linear equations in one variable exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 3: Understanding Quadrilaterals

Ncert class 8 mathematics (8th) chapter 3: understanding quadrilaterals exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 4: Practical Geometry

Ncert class 8 mathematics (8th) chapter 4: practical geometry exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 5: Data Handling

Ncert class 8 mathematics (8th) chapter 5: data handling exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 6: Squares and Square Roots

Ncert class 8 mathematics (8th) chapter 6: squares and square roots exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 7: Cubes and Cube Roots

Ncert class 8 mathematics (8th) chapter 7: cubes and cube roots exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 8: Comparing Quantities

Ncert class 8 mathematics (8th) chapter 8: comparing quantities exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 9: Algebraic Expressions and Identities

Ncert class 8 mathematics (8th) chapter 9: algebraic expressions and identities exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 10: Visualising Solid Shapes

Ncert class 8 mathematics (8th) chapter 10: visualising solid shapes exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 11: Mensuration

Ncert class 8 mathematics (8th) chapter 11: mensuration exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 12: Exponents and Powers

Ncert class 8 mathematics (8th) chapter 12: exponents and powers exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 13: Direct and Inverse Proportions

Ncert class 8 mathematics (8th) chapter 13: direct and inverse proportions exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 14: Factorisation

Ncert class 8 mathematics (8th) chapter 14: factorisation exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 15: Introduction to Graphs

Ncert class 8 mathematics (8th) chapter 15: introduction to graphs exercises.

NCERT Solutions for Class 8 Mathematics (8th) Chapter 16: Playing with Numbers

Ncert class 8 mathematics (8th) chapter 16: playing with numbers exercises.

Class 8 Mathematics is crucial for students who wish to pursue higher studies in the Science stream. Maths is a pretty tough subject, and you may need tips, tricks, and guidance from experts from time to time. You can solve previous years’ questions by going through the entire syllabus thoroughly. If you do self-studies alone, there could be many doubts and difficulties relating to the subject. You may have issues in comprehending complex concepts and topics. Our experienced and competent faculty members at Shaalaa.com have devoted their time and effort to making your difficult Math syllabus accessible by presenting you NCERT Solutions Guide for Class 8 Maths. You have easy and free access to accurate answers to all the exercises and questions at the end of every chapter in your NCERT Maths Class 8 prescribed textbook. It would be best to keep practising CBSE's previous year's question papers to understand the pattern of questions to expect and how to manage perfect time.

Every student wants to ace their exam. To do so, you need to put in effort, hard work, and dedication towards your studies, which includes either revision in languages, etc., or practising equations, sums, and theorems. As the saying goes, practice makes one perfect, and the same is applicable when dealing with a challenging subject such as Mathematics, which not only involves solving equations and complex solutions, remembering formulas, and utilising them correctly but also memorise theorems and drawing complex diagrams, which can only and only be perfected through repeated practice. 

NCERT Solutions for Mathematics Class 8

Class 8 NCERT solutions answers all the questions given in the NCERT textbooks in a step-by-step process. Our Maths tutors have helped us put together this for our Class 8 Students. The solutions on Shaalaa will help you solve all the NCERT Class 8 Maths questions without any problems. Every chapter has been broken down systematically for the students, which gives fast learning and easy retention.

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There are in all 16 chapters in the Class 8 NCERT Maths textbook.

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It is essential to refer to the Answer Guide of Class 8 NCERT Maths to understand the fundamental concepts of Mathematics better. It would be best if you kept practising and solving all the given exercises and questions at the back of all the textbook chapters. Consistency in practice could help you solve these complicated problems quickly without batting an eyelid. If you go through NCERT Maths Book Class 8 Solutions Guide, you are better equipped to tackle all the demanding questions during your examinations.

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NCERT Solutions for Class 8 Maths CBSE

Class 8 NCERT Solutions answer all the questions in the NCERT textbooks in a step-by-step process. Our Maths tutors helped us assemble this for our Class 8 students. The solutions on Shaalaa will help you solve all the NCERT Class 8 Maths questions without any problems. Every chapter has been broken down systematically for the students, which gives them fast learning and easy retention.

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NCERT Solutions for Class 8 Maths Free PDF Download

Ncert solutio ns for class 8 maths.

NCERT Solutions for Class 8 Maths will help you to ace the unsolved problems in the maths book prescribed by the CBSE. NCERT Solutions for Class 8 breaks down the solutions into detailed steps to increase your score in exams.

NCERT Solutions are prepared by our team of highly professional, qualified and experienced faculties. These NCERT Solutions for Class 8 Maths helps you to quickly grasp all the concepts and formulas of maths. In case you have a doubt while you are studying NCERT Solutions for Class 8 Maths which we are providing, for this, we have a team of teachers who are just a click away to solve your doubt any time.

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Download NCERT Solutions for Class 8 here.

NCERT Solutions for Class 8 Maths Chapter-wise

• 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

CBSE Class 8 Maths Chapter-wise NCERT Solutions

Ncert solutions for class 8 maths chapter 1 – rational numbers.

In this chapter will learn the properties of real numbers, rational numbers, representation of a rational number on number line, additive and multiplicative identity.

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

In this chapter you will learn the concept of linear equation and methods to solve them, reducing equations to a simpler form and their applications.

NCERT Solutions for Class 8 Maths Chapter 3 – Understanding Quadrilaterals

In this chapter, you will learn the basics of a quadrilateral, polygon, kinds of quadrilateral and polygon, the measure of external angle of polygons.

NCERT Solutions for Class 8 Maths Chapter 4 – Practical Geometry

This chapter includes drawing 4 sides in a quadrilateral with 2 adjacent sides, 3 angles, and 1 diagonal area given.

NCERT Solutions for Class 8 Maths Chapter 5 – Data Handling

In this chapter you will learn to organize the data in a systematic method, represent the data in a pictograph, a bar graph, double bar graph, pie chart, and histogram.

NCERT Solutions for Class 8 Maths Chapter 6 – Square and Square Roots

In this chapter, you will learn about the squares of numbers and their properties, various patterns of squares, and square roots of numbers.

NCERT Solutions for Class 8 Maths Chapter 7 – Cube and Cube Roots

In this you will study about cubes of different numbers, cubes of numbers by adding consecutive odd numbers pattern, cube roots of a number, solving cube roots by prime factorization method.

NCERT Solutions for Class 8 Maths Chapter 8 – Comparing Quantities

In this chapter you will compare quantities, increase or decrease of percentage, discount, profit and loss, vat tax, sales tax, computing interest.

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

In this chapter, you will learn about the algebraic expressions and their types, like and unlike terms, addition and subtraction, multiplication of algebraic expressions, standard identities and their implementation.

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

In this chapter, you will study the cubes, cuboids, cones, cylinders, spheres, hemispheres and their area, triangular pyramids, triangular and square base prisms, application of Euler’s formula.

NCERT Solutions for Class 8 Maths Chapter 11 – Mensuration

In this chapter, you will learn about the perimeter and areas of plane closed figure and surface area, the volume of a solid figure, transform the quantity into other units.

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

In this chapter you will study powers with negative exponents, laws of exponents, express the numbers in standard form and comparison of extremely large numbers.

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

In this chapter, you will solve the problems related to direct and inverse proportion and their identification based on relative increase or decrease of a quantity with respect to the first one.

NCERT Solutions for Class 8 Maths Chapter 14 – Factorization

In this chapter, you will learn methods of factorization, division of algebraic expression, error finding in algebraic equations.

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

In this, you will study the representations of data by a bar graph, histogram, pie chart, line graph, and linear graph, application based on the graph using the dependent & independent variable.

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

In this chapter, you will deal with numbers in a general form, puzzles related to numbers, divisibility tests.

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Solved Questions For You:

Question 1. For which of these would you use a histogram to show the data? (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by  5  companies. (d) The number of passengers boarding trains from  7 : 0 0  a.m. to  7 : 0 0  p.m. at a station. Give reasons for each.

(a) We can’t use the histogram in this case because we cannot define the class intervals for this data.

(b) We can use histogram here because it will be easy to divide the data into class intervals.

(c) We do not have approximate data we won’t use a histogram. We do not know about the number of cassettes produced by companies.

Question 2. List the outcomes you can see in these experiments.

(a) Possible outcomes would be:  A , B , C , D

Question 3. When a die is thrown, list the outcomes of an event of getting

(i) (a) a prime number (b) not a prime number. (ii) (a) a number greater than 5 (b) a number not greater than  5

Possible outcomes:  1 , 2 , 3 , 4 , 5 , 6 (i) (a) Prime numbers:  2 , 3 , 5 It represents the outcomes of Prime numbers (b) Not a prime number:  1 , 4 , 6 It represents the outcomes of not prime numbers. (ii) (a) A number greater than  5 : Only when  6  comes (b) Number not greater than  5 : Only when outcomes:  1 , 2 , 3 , 4  and  5

Question 4. A survey was made to find the type of music that a certain group of young people liked in a city. The adjoining pie chart shows the findings of this survey.

From this pie chart answer the following: (i) If  2 0  people liked classical music, how many young people were surveyed? (ii) Which type of music is liked by the maximum number of people? (iii) If a cassette company were to make  1 0 0 0  CDs, how many of each type would they make?

The light chart represents the maximum number as it is  4 0 % of the total.  ∴  Light music is liked by max. people.

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NCERT Solutions for Class 8

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NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers

Ncert solutions class 8 maths chapter 1 – free pdf download.

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers are provided here to help the students understand the concepts right from the beginning. The concepts taught in Class 8 are important to be understood as these concepts are continued in Classes 9 and 10. To score good marks in the Class 8 Mathematics examination, it is advised to solve questions provided at the end of each chapter in the NCERT textbook. These NCERT Solutions for Class 8 Maths help the students understand all the concepts in a better way.

Download Exclusively Curated Chapter Notes for Class 8 Maths Chapter – 1 Rational Numbers

Download most important questions for class 8 maths chapter – 1 rational numbers.

Numbers that can be represented in the form of p/q, where q is not equal to zero, are known as Rational Numbers . It is one of the most critical topics in Class 8 Maths. In simpler words, any fraction with a non-zero denominator is said to be a rational number. To represent rational numbers on a number line, we need to simplify them first. Does it sound hard? Not anymore. Students can now access the NCERT Solutions for Class 8 Maths Chapter 1 while solving the exercise problems for any concept clarity and doubt clearance. Try practising these NCERT Solutions to grasp important topics with ease.

NCERT Solutions for Class 8 Maths – Rational Numbers

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Access Answers to NCERT Class 8 Maths Chapter 1 Rational Numbers

Exercise 1.1 page: 14, 1. using appropriate properties, find:.

(i) -2/3 × 3/5 + 5/2 – 3/5 × 1/6

-2/3 × 3/5 + 5/2 – 3/5 × 1/6

= -2/3 × 3/5– 3/5 × 1/6+ 5/2 (by commutativity)

= 3/5 (-2/3 – 1/6)+ 5/2

= 3/5 ((- 4 – 1)/6)+ 5/2

= 3/5 ((–5)/6)+ 5/2 (by distributivity)

= – 15 /30 + 5/2

= – 1 /2 + 5/2

(ii) 2/5 × (- 3/7) – 1/6 × 3/2 + 1/14 × 2/5

2/5 × (- 3/7) – 1/6 × 3/2 + 1/14 × 2/5

= 2/5 × (- 3/7) + 1/14 × 2/5 – (1/6 × 3/2) (by commutativity)

= 2/5 × (- 3/7 + 1/14) – 3/12

= 2/5 × ((- 6 + 1)/14) – 3/12

= 2/5 × ((- 5)/14)) – 1/4

= (-10/70) – 1/4

= – 1/7 – 1/4

= (– 4– 7)/28

2. Write the additive inverse of each of the following:

The Additive inverse of 2/8 is – 2/8

The additive inverse of -5/9 is 5/9

(iii) -6/-5 = 6/5

The additive inverse of 6/5 is -6/5

(iv) 2/-9 = -2/9

The additive inverse of -2/9 is 2/9

(v) 19/-16 = -19/16

The additive inverse of -19/16 is 19/16

3. Verify that: -(-x) = x for:

(i) x = 11/15

(ii) x = -13/17

We have, x = 11/15

The additive inverse of x is – x (as x + (-x) = 0).

Then, the additive inverse of 11/15 is – 11/15 (as 11/15 + (-11/15) = 0).

The same equality, 11/15 + (-11/15) = 0, shows that the additive inverse of -11/15 is 11/15.

Or, – (-11/15) = 11/15

i.e., -(-x) = x

(ii) -13/17

We have, x = -13/17

Then, the additive inverse of -13/17 is 13/17 (as 13/17 + (-13/17) = 0).

The same equality (-13/17 + 13/17) = 0, shows that the additive inverse of 13/17 is -13/17.

Or, – (13/17) = -13/17,

4. Find the multiplicative inverse of the following:

(i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × (-3/7) (v) -1 × (-2/5) (vi) -1

Multiplicative inverse of -13 is -1/13.

(ii) -13/19

Multiplicative inverse of -13/19 is -19/13.

Multiplicative inverse of 1/5 is 5.

(iv) -5/8 × (-3/7) = 15/56

Multiplicative inverse of 15/56 is 56/15.

(v) -1 × (-2/5) = 2/5

Multiplicative inverse of 2/5 is 5/2.

Multiplicative inverse of -1 is -1.

5. Name the property under multiplication used in each of the following:

(i) -4/5 × 1 = 1 × (-4/5) = -4/5

(ii) -13/17 × (-2/7) = -2/7 × (-13/17)

(iii) -19/29 × 29/-19 = 1

Here 1 is the multiplicative identity.

The property of commutativity is used in the equation.

The multiplicative inverse is the property used in this equation.

6. Multiply 6/13 by the reciprocal of -7/16.

Reciprocal of -7/16 = 16/-7 = -16/7

According to the question,

6/13 × (Reciprocal of -7/16)

6/13 × (-16/7) = -96/91

7. Tell what property allows you to compute 1/3 × (6 × 4/3) as (1/3 × 6) × 4/3.

1/3 × (6 × 4/3) = (1/3 × 6) × 4/3

Here, the way in which factors are grouped in a multiplication problem supposedly does not change the product. Hence, the Associativity Property is used here.

8/9 × (-9/8) = -1 ≠ 1

3/10 × 10/3 = 1

(i) The rational number that does not have a reciprocal.

(ii) The rational numbers that are equal to their reciprocals.

(iii) The rational number that is equal to its negative.

(I) The rational number that does not have a reciprocal is 0.

Reciprocal of 0 = 1/0, which is not defined.

(ii) The rational numbers that are equal to their reciprocals are 1 and -1.

Reciprocal of 1 = 1/1 = 1, similarly, reciprocal of -1 = – 1

(iii) The rational number that is equal to its negative is 0.

Negative of 0=-0=0

11. Fill in the blanks.

(i) Zero has _______reciprocal.

(ii) The numbers ______and _______are their own reciprocals

(iii) The reciprocal of – 5 is ________.

(iv) Reciprocal of 1/x, where x ≠ 0 is _________.

(v) The product of two rational numbers is always a ________.

(vi) The reciprocal of a positive rational number is _________.

(i) Zero has no reciprocal.

(ii) The numbers -1 and 1 are their own reciprocals

(iii) The reciprocal of – 5 is -1/5 .

(iv) Reciprocal of 1/x, where x ≠ 0 is x .

(v) The product of two rational numbers is always a rational number .

(vi) The reciprocal of a positive rational number is positive .

Exercise 1.2 Page: 20

1. Represent these numbers on the number line.

Divide the line between the whole numbers into 4 parts, i.e. divide the line between 0 and 1 to 4 parts, 1 and 2 to 4 parts, and so on.

Thus, the rational number 7/4 lies at a distance of 7 points away from 0 towards the positive number line.

Divide the line between the integers into 4 parts, i.e. divide the line between 0 and -1 to 6 parts, -1 and -2 to 6 parts, and so on. Here, since the numerator is less than the denominator, dividing 0 to – 1 into 6 parts is sufficient.

Thus, the rational number -5/6 lies at a distance of 5 points, away from 0, towards the negative number line.

2. Represent -2/11, -5/11, -9/11 on a number line.

Divide the line between the integers into 11 parts.

Thus, the rational numbers -2/11, -5/11, and -9/11 lie at a distance of 2, 5, and 9 points away from 0, towards the negative number line, respectively.

3. Write five rational numbers which are smaller than 2.

The number 2 can be written as 20/10

Hence, we can say that the five rational numbers which are smaller than 2 are:

2/10, 5/10, 10/10, 15/10, 19/10

4. Find the rational numbers between -2/5 and ½.

Let us make the denominators the same, say 50.

-2/5 = (-2 × 10)/(5 × 10) = -20/50

½ = (1 × 25)/(2 × 25) = 25/50

Ten rational numbers between -2/5 and ½ = ten rational numbers between -20/50 and 25/50.

Therefore, ten rational numbers between -20/50 and 25/50 = -18/50, -15/50, -5/50, -2/50, 4/50, 5/50, 8/50, 12/50, 15/50, 20/50.

5. Find five rational numbers between:

(i) 2/3 and 4/5

(ii) -3/2 and 5/3

(iii) ¼ and ½

Let us make the denominators the same, say 60

i.e., 2/3 and 4/5 can be written as:

2/3 = (2 × 20)/(3 × 20) = 40/60

4/5 = (4 × 12)/(5 × 12) = 48/60

Five rational numbers between 2/3 and 4/5 = five rational numbers between 40/60 and 48/60.

Therefore, five rational numbers between 40/60 and 48/60 = 41/60, 42/60, 43/60, 44/60, 45/60.

Let us make the denominators the same, say 6

i.e., -3/2 and 5/3 can be written as:

-3/2 = (-3 × 3)/(2× 3) = -9/6

5/3 = (5 × 2)/(3 × 2) = 10/6

Five rational numbers between -3/2 and 5/3 = five rational numbers between -9/6 and 10/6.

Therefore, five rational numbers between -9/6 and 10/6 = -1/6, 2/6, 3/6, 4/6, 5/6.

Let us make the denominators the same, say 24

i.e., ¼ and ½ can be written as:

¼ = (1 × 6)/(4 × 6) = 6/24

½ = (1 × 12)/(2 × 12) = 12/24

Five rational numbers between ¼ and ½ = five rational numbers between 6/24 and 12/24.

Therefore, five rational numbers between 6/24 and 12/24 = 7/24, 8/24, 9/24, 10/24, 11/24.

6. Write five rational numbers greater than -2.

-2 can be written as – 20/10

Hence, we can say that the five rational numbers greater than -2 are

-10/10, -5/10, -1/10, 5/10, 7/10

7. Find ten rational numbers between 3/5 and ¾.

Let us make the denominators the same, say 80.

3/5 = (3 × 16)/(5× 16) = 48/80

3/4 = (3 × 20)/(4 × 20) = 60/80

Ten rational numbers between 3/5 and ¾ = ten rational numbers between 48/80 and 60/80.

Therefore, ten rational numbers between 48/80 and 60/80 = 49/80, 50/80, 51/80, 52/80, 54/80, 55/80, 56/80, 57/80, 58/80, 59/80.

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers Summary

Chapter 1, Rational Numbers, contains 2 exercises, and the NCERT Solutions for Class 8 Maths given here contains precise answers for all the questions present in these exercises. Let us have a look at some of the concepts that are being discussed in this chapter.

• Rational numbers are closed under the operations of addition, subtraction and multiplication.
• Commutative for rational numbers
• Associative for rational numbers
• The rational number 0 is the additive identity for rational numbers.
• Rational number 1 is the multiplicative identity for rational numbers.
• Distributivity of rational numbers: For all rational numbers a, b and c, a(b + c) = ab + ac and a(b – c) = ab – ac
• Rational numbers can be represented on a number line.
• Between any two given rational numbers, there are countless rational numbers. The idea of mean helps us to find rational numbers between two rational numbers.

The main topics covered in this chapter include:

1.1 Introduction

1.2 Properties of Rational Numbers

1.2.1 Closure

1.2.2 Commutativity

1.2.3 Associativity

1.2.4 The Role of Zero

1.2.5 The Role of 1

1.2.6 Negative of a Number

1.2.7 Reciprocal

1.2.8 Distributivity of Multiplication over Addition for Rational Numbers.

1.3 Representation of Rational Numbers on the Number Line

1.4 Rational Numbers between Two Rational Numbers

It’s highly recommended that students utilise the NCERT Solutions for Class 8 to comprehend key concepts in CBSE Class 8 Maths. Unasked doubts can also be clearly instantly when referred to these solutions.

Access Exercise-wise NCERT Solutions Class 8 Maths of Chapter 1:

Exercise 1.1 Solutions 11 Questions (11 Short Answer Questions) Exercise 1.2 Solutions 7 Questions (7 Short Answer Questions)

Numbers are considered to be the most basic block of Mathematics. In lower classes, the students would have learnt the different types of numbers, including natural numbers, whole numbers, integers etc. Chapter 1 of Class 8 Maths  NCERT Solutions takes the students to another set of numbers, the rational numbers.  This chapter explains almost all the concepts that a student of Class 8 has to learn about rational numbers.

Chapter 1 of NCERT Class 8 Maths also describes the method of representing a rational number on a number line as well as the method of finding rational numbers between 2 rational numbers. Read and learn Chapter 1 of the  NCERT textbook to learn more about Rational Numbers and the concepts covered in them. Learn the NCERT Solutions for Class 8 effectively to score high in the annual examination.

Disclaimer:

Dropped Topics – 1.2.6 Negative of a number, 1.2.7 Reciprocal, 1.3 Representation of rational numbers on the number line and 1.4 Rational numbers between two rational numbers.

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Class 8 Mathematics Algebraic Expressions And Identities Assignments

We have provided below free printable Class 8 Mathematics Algebraic Expressions And Identities Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 8 Mathematics Algebraic Expressions And Identities . These Assignments for Grade 8 Mathematics Algebraic Expressions And Identities cover all important topics which can come in your standard 8 tests and examinations. Free printable Assignments for CBSE Class 8 Mathematics Algebraic Expressions And Identities , 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 Mathematics Algebraic Expressions And Identities Class 8 with solutions and answers. 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 Mathematics Algebraic Expressions And Identities Assignments with Answers and test papers are given below.

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NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

• NCERT Solutions for Class 8 Maths

NCERT Solutions for Class 8 Maths:  Mathematics is a subject that is useful for students in every phase of life. It does not matter if you are choosing science or biology or commerce stream. Some basic maths will always be there in each of these streams. Thus, it becomes important for students to have a strong base in this subject. One such help is being by us in the form of NCERT solutions for class 8 maths. Here we are providing you with the solutions to all the exercises given in the textbook. You can also practice Extra Questions for Class 8 Maths on LearnCBSE.in

• 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 Squares and Square Roots
• Chapter 7 Cubes 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 Indirect proportions
• Chapter 14 Factorisation
• Chapter 15 Introduction to Graphs
• Chapter 16 Playing with Numbers

NCERT Solutions for Class 8 Maths solved by Expert teachers from LearnCBSE.in. Class 8 Maths NCERT Solutions are created with utmost care and accuracy.  We have reviewed, corrected typos and cross verified the solutions for the best, most detailed, accurate Free Solutions for Class 8 NCERT Mathematics. NCERT Book For Class 8 Maths strictly written as per latest CBSE guidelines. NCERT Solutions for Class 8 Maths are completely Free and you can COPY, Download and Create PDFs.

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers

• Class 8 Maths Rational Numbers Exercise 1.1
• Class 8 Maths Rational Numbers Exercise 1.2
• Rational Numbers Class 8 Extra Questions

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

• Class 8 Maths Linear Equations in One Variable Exercise 2.1
• Class 8 Maths Linear Equations in One Variable Exercise 2.2
• Class 8 Maths Linear Equations in One Variable Exercise 2.3
• Class 8 Maths Linear Equations in One Variable Exercise 2.4
• Class 8 Maths Linear Equations in One Variable Exercise 2.5
• Class 8 Maths Linear Equations in One Variable Exercise 2.6
• Linear Equations in One Variable Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals

• Class 8 Maths Understanding Quadrilaterals Exercise 3.1
• Class 8 Maths Understanding Quadrilaterals Exercise 3.2
• Class 8 Maths Understanding Quadrilaterals Exercise 3.3
• Class 8 Maths Understanding Quadrilaterals Exercise 3.4
• Understanding Quadrilaterals Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry

• Class 8 Maths Practical Geometry Exercise 4.1
• Class 8 Maths Practical Geometry Exercise 4.2
• Class 8 Maths Practical Geometry Exercise 4.3
• Class 8 Maths Practical Geometry Exercise 4.4
• Class 8 Maths Practical Geometry Exercise 4.5
• Practical Geometry Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 5 Data Handling

• Class 8 Maths Data Handling Exercise 5.1
• Class 8 Maths Data Handling Exercise 5.2
• Class 8 Maths Data Handling Exercise 5.3
• Data Handling Class 8 Extra Questions

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

• Class 8 Maths Squares and Square Roots Exercise 6.1
• Class 8 Maths Squares and Square Roots Exercise 6.2
• Class 8 Maths Squares and Square Roots Exercise 6.3
• Class 8 Maths Squares and Square Roots Exercise 6.4
• Squares and Square Roots Class 8 Extra Questions

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

• Class 8 Maths Cubes and Cube Roots Exercise 7.1
• Class 8 Maths Cubes and Cube Roots Exercise 7.2
• Cubes and Cube Roots Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities

• Class 8 Maths Comparing Quantities Exercise 8.1
• Class 8 Maths Comparing Quantities Exercise 8.2
• Class 8 Maths Comparing Quantities Exercise 8.3
• Comparing Quantities Class 8 Extra Questions

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

• Class 8 Maths Algebraic Expressions and Identities Exercise 9.1
• Class 8 Maths Algebraic Expressions and Identities Exercise 9.2
• Class 8 Maths Algebraic Expressions and Identities Exercise 9.3
• Class 8 Maths Algebraic Expressions and Identities Exercise 9.4
• Class 8 Maths Algebraic Expressions and Identities Exercise 9.5
• Algebraic Expressions and Identities Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes

• Class 8 Maths Visualising Solid Shapes Exercise 10.1
• Class 8 Maths Visualising Solid Shapes Exercise 10.2
• Class 8 Maths Visualising Solid Shapes Exercise 10.3
• Visualising Solid Shapes Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration

• Class 8 Maths Mensuration Exercise 11.1
• Class 8 Maths Mensuration Exercise 11.2
• Class 8 Maths Mensuration Exercise 11.3
• Class 8 Maths Mensuration Exercise 11.4
• Mensuration Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers

• Class 8 Maths Exponents and Powers Exercise 12.1
• Class 8 Maths Exponents and Powers Exercise 12.2
• Exponents and Powers Class 8 Extra Questions

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

• Class 8 Maths Direct and Inverse Proportions Exercise 13.1
• Class 8 Maths Direct and Inverse Proportions Exercise 13.2
• Direct and Inverse Proportions Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 14 Factorisation

• Class 8 Maths Factorisation Exercise 14.1
• Class 8 Maths Factorisation Exercise 14.2
• Class 8 Maths Factorisation Exercise 14.3
• Class 8 Maths Factorisation Exercise 14.4
• Factorisation Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs

• Class 8 Maths Introduction to Graphs Exercise 15.1
• Class 8 Maths Introduction to Graphs Exercise 15.2
• Class 8 Maths Introduction to Graphs Exercise 15.3
• Introduction to Graphs Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers

• Class 8 Maths Playing with Numbers Exercise 16.1
• Class 8 Maths Playing with Numbers Exercise 16.2
• Playing with Numbers Class 8 Extra Questions

Maths Formulas for Class 8 NCERT Solutions for Class 8 Maths (Download PDF)

With the help of NCERT solutions for class 8 maths, you get chapter wise solutions of each and every exercise. Thus, it helps you solve and practice the questions at your convenience and with ease. This article will also help you develop an understanding of all the chapters that are there in the NCERT maths textbook. You can share this link with your friends and help them understand the topics better. Below we are providing an overview of all the chapters that are covered in the NCERT textbook in the same order.

Here is the list of Main Topics from Class 8 Maths NCERT Text Book:

Class 8 Maths Chapter 1 Rational Numbers

This chapter will help you understand about the integers, properties of real integers, rational numbers, and whole numbers. Furthermore, how rational numbers are represented on a number line is also explained. You will be able to search the rational numbers between any of the given two rational numbers through this chapter.

• 1.1 Introduction
• 1.2 Properties Of Rational Numbers
• 1.3 Representation Of Rational Numbers On The Number Line
• 1.4 Rational Numbers Between Two Rational Numbers

Class 8 Maths Chapter 2 Linear Equation in One Variable

As you go ahead in maths, you will notice the importance of linear equations. Thus, this makes a very important chapter to understand and remember. The mathematics you will study in advance classes is purely based on various equations that involve variables. A total of 65 questions in six exercises is given for students to practice and learn. You also are learning to perform the mathematical operations on either side of an equation.

• 2.1 Introduction
• 2.2 Solving Equations Which Have Linear Expressions On One Side And Numbers On The Other Side
• 2.3 Some Applications
• 2.4 Solving Equations Having The Variable On Both Sides
• 2.5 Some More Applications
• 2.6 Reducing Equations To Simpler Form
• 2.7 Equations Reducible To The Linear Form

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Exercise 2.1

Question 1. Solve the equation: x – 2 = 7. Solution: Given: x – 2 = 7 ⇒ x – 2 + 2 = 7 + 2 (adding 2 on both sides) ⇒ x = 9 (Required solution)

Question 2. Solve the equation: y + 3 = 10. Given: y + 3 = 10 ⇒ y + 3 – 3 = 10 – 3 (subtracting 3 from each side) ⇒ y = 7 (Required solution)

Question 3. Solve the equation: 6 = z + 2 Solution: We have 6 = z + 2 ⇒ 6 – 2 = z + 2 – 2 (subtracting 2 from each side) ⇒ 4 = z Thus, z = 4 is the required solution.

Question 5. Solve the equation 6x = 12. Solution: We have 6x = 12 ⇒ 6x ÷ 6 = 12 ÷ 6 (dividing each side by 6) ⇒ x = 2 Thus, x = 2 is the required solution.

Question 6. Solve the equation \(\frac { t }{ 5 }\) = 10. Solution: Given \(\frac { t }{ 5 }\) = 10 ⇒ \(\frac { t }{ 5 }\) × 5 = 10 × 5 (multiplying both sides by 5) ⇒ t = 50 Thus, t = 50 is the required solution.

Question 7. Solve the equation \(\frac { 2x }{ 3 }\) = 18. Solution: We have \(\frac { 2x }{ 3 }\) = 18 ⇒ \(\frac { 2x }{ 3 }\) × 3 = 18 × 3 (multiplying both sides by 3) ⇒ 2x = 54 ⇒ 2x ÷ 2 = 54 ÷ 2 (dividing both sides by 2) ⇒ x = 27 Thus, x = 27 is the required solution.

Question 8. Solve the equation 1.6 = \(\frac { y }{ 1.5 }\) Solution: Given: 1.6 = \(\frac { y }{ 1.5 }\) ⇒ 1.6 × 1.5 = \(\frac { y }{ 1.5 }\) × 1.5 (multiplying both sides by 1.5) ⇒ 2.40 = y Thus, y = 2.40 is the required solution.

Question 9. Solve the equation 7x – 9 = 16. Solution: We have 7x – 9 = 16 ⇒ 7x – 9 + 9 = 16 + 9 (adding 9 to both sides) ⇒ 7x = 25 ⇒ 7x ÷ 7 = 25 ÷ 7 (dividing both sides by 7) ⇒ x = \(\frac { 25 }{ 7 }\) Thus, x = \(\frac { 25 }{ 7 }\) is the required solution.

Question 10. Solve the equation 14y – 8 = 13. Solution: We have 14y – 8 = 13 ⇒ 14y – 8 + 8 = 13 + 8 (adding 8 to both sides) ⇒ 14y = 21 ⇒ 14y ÷ 14 = 21 ÷ 14 (dividing both sides by 14) ⇒ y = \(\frac { 21 }{ 14 }\) ⇒ y = \(\frac { 3 }{ 2 }\) Thus, y = \(\frac { 3 }{ 2 }\) is the required solution.

Question 11. Solve the equation 17 + 6p = 9. Solution: We have, 17 + 6p = 9 ⇒ 17 – 17 + 6p = 9 – 17 (subtracting 17 from both sides) ⇒ 6p = -8 ⇒ 6p ÷ 6 = -8 ÷ 6 (dividing both sides by 6) ⇒ p = \(\frac { -8 }{ 6 }\) ⇒ p = \(\frac { -4 }{ 3 }\) Thus, p = \(\frac { -4 }{ 3 }\) is the required solution.

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NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.2

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.3

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.4

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.5

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.6

Class 8 Maths Chapter 3 Understanding quadrilaterals

Geometry is another topic that is going to be important for advanced math classes. This chapter will introduce you to the basics of a quadrilateral, a polygon with 4 sides. A cube-shaped object formed by connecting various line segments is called a polygon and then are various shapes in polygons. It depends on the angle between the two line segments and the number of line segments. The shapes can quadrilateral, triangle, hexagon, pentagon, etc. When each and every side of the polygon is equal and the external angles are at 360° than that polygon is called quadrilateral.

• 3.1 Introduction
• 3.2 Polygons
• 3.3 Sum Of The Measures Of The Exterior Angles Of A Polygon
• 3.4 Kinds Of Quadrilaterals
• 3.5 Some Special Parallelograms

Class 8 Maths Chapter 4 Practical Geometry

This chapter includes drawing 4 sides in a quadrilateral with 2 adjacent sides, 3 angles and 1 diagonal area given to you. You will be further explained how to draw different types of quadrilateral in this chapter.

• 4.1 Introduction
• 4.2 Constructing A Quadrilateral
• 4.3 Some Special Cases

Class 8 Maths Chapter 5 Knowledge Handling

Data has become a very important tool in recent years. But with the amount of data available, the next step becomes very important, that is how to handle the data. This chapter will help you develop basic knowledge on how to handle the data and arrange it systematic order so that meaningful results can be interpreted. This is done to induce clear knowledge of the data and to diagrammatically represent it in the form of a bar graph, pie chart, double bar graph, etc.

• 5.1 Looking For Information
• 5.2 Organising Data
• 5.3 Grouping Data
• 5.4 Circle Graph Or Pie Chart
• 5.5 Chance And Probability

Class 8 Maths Chapter 6 Squares and Square Roots

This chapter offers a plan to discuss the various roots of a number. Suppose a number A is represented because the square of other number say B, then B here, is the square root of A. The number is said to be an excellent square when the roots of a number are also a number. This strategy of finding roots is very useful in higher standards.

• 6.1 Introduction
• 6.2 Properties Of Square Numbers
• 6.3 Some More Interesting Patterns
• 6.4 Finding The Square Of A Number
• 6.5 Square Roots

Class 8 Maths Chapter 7 Cube and Cube Roots

There are numerous ways through which you can seek out the cubes and cube roots of a number. But in this chapter, you will learn about these cubes by adding consecutive odd number pattern.

• 7.1 Introduction
• 7.3 Cube Roots

Class 8 Maths Chapter 8 Comparing Quantities

When you compare quantities, you need to have an increase or decrease of percentage, sales value, market value, discount, and the discounted value of the product to check whether you have made profit or loss. This chapter further dwells into extra expenses that are incurred like excise tax, acquisition of piece, whether interest is compounded yearly, half-yearly, or quarterly, etc.

• 8.1 Recalling Ratios And Percentages
• 8.2 Finding The Increase Or Decrease percent
• 8.3 Finding Discounts
• 8.4 Prices Related To Buying And Selling (profit And Loss)
• 8.5 Sales Tax/Value Added Tax
• 8.6 Compound Interest
• 8.7 Deducing A Formula For Compound Interest
• 8.8 Rate Compounded Annually Or Half Yearly (semi Annually)
• 8.9 Applications Of Compound Interest Formula

Class 8 Maths Chapter 9 Algebraic Identities and Expressions

This chapter explains the mathematics expressions and identities along with their implementation. It also explains the terms area unit that is used additionally to express pure mathematics expressions and how these terms are shaped based on different products. This chapter further dwells into binomials, monomials, trinomials, and much more based on the number of terms. It also explains the multiplication of polynomials by polynomials and the addition of mathematical expression.

• 9.1 What Are Expressions?
• 9.2 Terms, Factors And Coefficients
• 9.3 Monomials, Binomials And Polynomials
• 9.4 Like And Unlike Terms
• 9.5 Addition And Subtraction Of Algebraic Expressions
• 9.6 Multiplication Of Algebraic Expressions: Introduction
• 9.7 Multiplying A Monomial By A Monomial
• 9.8 Multiplying A Monomial By A Polynomial
• 9.9 Multiplying A Polynomial By A Polynomial
• 9.10 What Is An Identity?
• 9.11 Standard Identities
• 9.12 Applying Identities

Class 8 Maths Chapter 10 Visualising Solid Shapes

In this chapter, you will study the solid objects that have height, length, and breadth and thus they are referred to as 3D objects. Along with you will also learn about the edges, faces, and vertices about some solid figures like triangular pyramids, cuboids, square base, and triangular prisms, etc. You will also study the applications of Euler’s formula.

• 10.1 Introduction
• 10.2 Views Of 3d-Shapes
• 10.3 Mapping Space Around Us
• 10.4 Faces, Edges And Vertices

Class 8 Maths Chapter 11 Mensuration

This chapter will deal with issues related to areas and perimeter of closed figures. Along with this, you will study the volume of solid figures like a cylinder, cube, cuboid, and so on. You will also get to know how to transform the quantity into various units.

• 11.1 Introduction
• 11.2 Let Us Recall
• 11.3 Area Of Trapezium
• 11.4 Area Of A General Quadrilateral
• 11.5 Area Of A Polygon
• 11.6 Solid Shapes
• 11.7 Surface Area Of Cube, Cuboid, and Cylinder
• 11.8 Volume Of Cube, Cuboid, and Cylinder
• 11.9 Volume And Capacity

Chapter 12: Exponents and power

The primary thing you will study in this chapter is power and exponents: power that has negative exponents, decimal numbers and their scientific documentation, the dependency of the exponent’s law, utilizing exponents in order to express the numbers and comparing small numbers to extremely large numbers.

• 12.1 Introduction
• 12.2 Powers With Negative Exponents
• 12.3 Laws Of Exponents
• 12.4 Use Of Exponents To Express Small Numbers In Standard Form

Class 8 Maths Chapter 13 Inverse and Direct Proportions

The questions in this chapter will give you details on inverse and direct proportions. This inverse and direct proportions are identified based on the relative decrease or increase of one quantity with respect to other quantities. The questions in this chapter will be from daily life and interesting.

• 13.1 Introduction
• 13.2 Direct Proportion
• 13.3 Inverse Proportion

Class 8 Maths Chapter 14 Factorisation

This chapter is based on the factorization of algebraic expressions and natural numbers. This can is either algebraic values, numbers, or expressions. Furthermore, you will learn about the factorization method used for common factors, by using identities, factors, and regrouping terms. You will also learn division of one polynomial by other, monomial by monomial or polynomial, and finding an error in algebraic equations.

• 14.2 What Is Factorisation?
• 14.3 Division Of Algebraic Expressions
• 14.4 Division Of Algebraic Expressions Continued (polynomial ÷ Polynomial)
• 14.5 Can You Find The Error?

Class 8 Maths Chapter 15 Introduction to Graphs

In this chapter you understand the purpose and importance of graphs, to show the numerical facts in visual forms so that everyone is able to understand the concept very easily. You will also study about quantity and cost, simple and principal interest, time and distance, on graphs with the use of independent and dependent variables.

• 15.1 Introduction
• 15.2 Linear Graphs
• 15.3 Some Applications

Class 8 Maths Chapter 16 Playing with numbers

In this chapter, you will deal with numbers in a general form. There are also puzzles and games in this chapter related to numbers. There are also divisibility tests along with questions based on them.

• 16.1 Introduction
• 16.2 Numbers In General Form
• 16.3 Games With Numbers
• 16.4 Letters For Digits
• 16.5 Tests Of Divisibility

It is important to prepare for the entrance exam along with the school exams. This NCERT solutions for class 8 maths helps you precisely with that. We will also keep content related to other subjects updated on our website so that you can find everything in one place.

FAQs on NCERT Solutions for Class 8 Maths

1.  How do I start the Class 8 Maths (CBSE)?

Best Resources to begin preparation for Class 8 Maths is through NCERT Textbook Solutions. Try covering all the topics so that you will not have any difficulty during the time of the exam.

2.  How can I score good marks in the Maths Class 8 CBSE?

Candidates can score good marks in the CBSE Class 8 Maths Exam by making use of the ultimate preparation tools like Study Materials, Notes & Syllabus, NCERT Solutions, etc. Practice as many times as possible and revise the concepts thoroughly.

3. Where can I get solutions for NCERT class 8 Maths Chapterwise?

Aspirants can get the NCERT Class 8 Maths Chapterwise Solutions by referring to the quick links made available on our page. Go through the topics listed under parent topics as per your choice and prepare well for the exam.

4. Which book of mathematics should I refer in Class 8?

You can refer to the Standard NCERT Textbooks prescribed by the CBSE Board for your Class 8 Mathematics Exam Preparation.

5. What is the best way of studying in Class 8?

The best way of studying for Class 8 is by practicing Previous Papers, referring to NCERT Solutions. You can score better grades in the exam with the ultimate preparation tools.

6. How can I download the Class 8 Maths Sample Papers PDF?

You can download the Class 8 Maths Previous Papers PDF through the direct links available on our page.

More CBSE Class 8 Study Material

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Home » Extras » Class 8 Maths Competency Based Questions 2024-25: Download PDF

Class 8 Maths Competency Based Questions 2024-25: Download PDF

Class 8 Maths Competency Based Questions are available for download here on aglasem.com. These Class 8 Competency Based Questions include MCQs, fill in the blanks, short answer questions, long answer questions, and answer key from the Maths curriculum and need you to apply understanding a little beyond the 8th class Maths textbook. For CBSE students, understanding and mastering these questions is crucial for success in Maths exam. Here you will understand what Competency Based Questions for Maths are, how they differ from traditional questions, and get tips on tackling these questions. You can also download Class 8 Competency Based Questions Maths PDF .

Class 8 Maths Competency Based Questions 2024-25

Here you can access a wide array of CBSE Competency Based Questions for the Maths subject. The PDF includes Multiple Choice Questions, Fill in the Blanks, Short Answer Questions, and Long Answer Questions, along with the answer key for class 8 Maths. The Competency Based Questions for Class 8 Maths can be found here.

Class 8 Maths Competency Focused Practice Questions Download Link – Click Here to Download 8 Maths CBQ PDF

Class 8 Maths Competency Based Questions PDF

The complete pdf for competency focused practice questions for Maths is as follows.

What are Maths Competency Based Questions?

These are designed to evaluate a student’s understanding of concepts of Maths, their ability to apply knowledge in real-life situations, and their critical thinking skills. Unlike traditional questions that may focus on rote learning or memorization, Competency Focused Questions require students to demonstrate a deeper comprehension of the subject matter (Maths). These questions measure various competencies in the Maths subject, such as problem-solving, logical reasoning, creativity, and subject-specific skills.

For Class 8 Competency Based Questions of Maths , students are expected to think beyond the Maths textbook and demonstrate their skills in a way that aligns with real-world applications.

• Class 8 Competency Based Questions

In addition to Maths, the Competency Focused Questions for all subjects for students in 8th standard are as follows.

Other Classes CBQ Download Links

Similarly the class wise CBQ practice question bank for school board are as follows.

• Class 3 Competency Based Questions
• Class 4 Competency Based Questions
• Class 5 Competency Based Questions
• Class 6 Competency Based Questions
• Class 7 Competency Based Questions
• Class 9 Competency Based Questions
• Class 10 Competency Based Questions

Class 8 Maths Competency Questions  – An Overview

The highlights of this educational resource are as follows.

Competency Based Questions are revolutionizing the way students approach their studies. By focusing on the core competencies required by the CBSE board, students in Class 8 can develop the skills necessary to excel academically and beyond. Whether you are dealing with Class 8 Maths Competency Based Questions or any other subject, remember to focus on understanding, application, and critical thinking.

Start practicing today, and make these questions a core part of your study strategy. The more you engage with these questions, the more confident you’ll become in your ability to tackle any challenge that comes your way!

If you have any queries on 8th Maths Specimen Paper 2025, then please ask in comments below.

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CBSE Class 12 Question Paper 2024: Download Subject-Wise Previous Year Papers

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