CBSE NCERT Solutions for Class 8 Maths: Are you looking for NCERT Solutions to the questions present in between text and exercises? If Yes, then you are on the right page. Here you can find the NCERT Solutions Class 8 Maths Chapter-wise. All the NCERT solutions provided here are solved by the academic experts of Embibe.
You can also download the NCERT Solutions for Class 8 Mathematics all chapters PDF from this article. We have provided the NCERT Solutions PDF for free. So download the CBSE NCERT Solutions for Class 8 Maths PDF and use it to refer to solve the textbook questions.
CBSE NCERT Solutions for Class 8 Maths: Free PDF Download
Here are the NCERT Solutions PDF for all the chapters of Class 8 Maths. provided for free. We have covered everything from chapter 1 to chapter 18. Read the short description of all the chapters so that you can have a glimpse of what you will be reading in the Class 8 Chapters present in the CBSE NCERT Maths Textbook.
- 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: Visualizing Solid Shapes
- Chapter 11: Mensuration
- Chapter 12: Exponents & Powers
- Chapter 13: Direct and Inverse Proportions
- Chapter 14: Factorization
- Chapter 15: Introduction to Graphs
- Chapter 16: Playing with Numbers
Benefits of Solving NCERT Solutions For Class 8 Maths On Embibe
Here are some benefits of solving the NCERT Solutions for Class 8 Maths which have been solved by the experts of Embibe:
- Has covered all the fundamentals
- You can complete assignments on time
- Helpful for Competitive Examination
- Has strictly followed the CBSE Marking Scheme
- Offer in-depth knowledge in easy language
Has covered all the fundamentals: The Embibe’ NCERT Solutions for Class 8 have been solved and explained so that any student can understand. All the principles and laws have been covered in NCERT Solutions. If you have not able to understand the topics clearly then read these NCERT solutions it will be helpful if you understand it with an example.
You can complete assignments on time: Did your teacher has given you an assignment on these NCERT Solutions? If yes then these NCERT Solutions will be helpful for completing your assignment. We suggest that first, you try to solve the NCERT questions present in intext questions and exercises.
Helpful for Competitive Examination: Some of these NCERT Questions can be tricky and more practical oriented. In order to solve such kind of questions, one needs to have a practical understanding of the chapter. If you are solving such kinds of questions then it will be helpful for competitive exams like JEE, NEET, and Olympiads.
Has strictly followed the CBSE Marking Scheme: Embibe’s academic experts have solved the NCERT Solutions step by step and have shown how a student should also solve in the board examination. If you follow the steps then according to the CBSE Marking scheme you will be getting the full marks.
Offer in-depth knowledge in easy language: Although the questions have been solved by the academic experts, it is explained in by keeping in mind that a class 8 student is reading these NCERT solutions.
CBSE NCERT Solutions for Class 8 Maths: All Chapter Descriptions
Here are the descriptions of the Chapters present in the Class 8 NCERT Textbooks.
- – Chapter 1 Description: Rational Numbers
- – Chapter 2 Description: Linear Equations in One Variable
- – Chapter 3 Description: Understanding Quadrilaterals
- – Chapter 4 Description: Practical Geometry
- – Chapter 5 Description: Data Handling
- – Chapter 6 Description: Square & Square Roots
- – Chapter 7 Description: Cubes & Cube Roots
- – Chapter 8 Description: Comparing Quantities
- – Chapter 9 Description: Algebraic Expressions and Identities
- – Chapter 10 Description: Visualizing Solid Shapes
- – Chapter 11 Description: Mensuration
- – Chapter 12 Description: Exponents & Powers
- – Chapter 13 Description: Direct & Inverse Proportions
- – Chapter 14 Description: Factorization
- – Chapter 15 Description: Introduction to Graphs
- – Chapter 16 Description: Playing with Numbers
NCERT Solutions For Class 8 Maths Chapter 1: Rational Numbers
Let’s take this equation 2x = 3. If you try to find the value of x, it will come as x = 3/2. Now such values of x where the value of x comes in the form of p/q are called rational numbers. But it has to be noted that q ≠ 0. The two rational numbers say a/b and p/q can be added, subtracted, multiplied, divided.
NCERT Solutions For Class 8 Maths Chapter 2: Linear Equations in One Variable
First, you need to understand what is a linear expression. A quick way to understand is that in linear expression the value of the expression varies linearly based on the value of its variables. For example, 2x – 3. If you draw the graph of this expression by putting the values of the x and y. The graph will come as a straight line.
On non-variable expressions such as x2 + 3 will give you a non-linear graph. Now when you say linear equation in one variable it means where there is only one variable like x + 3. Whereas x + y is a linear expression with two variables. Now if we say 2x – 3, then it means this is an expression whereas if we say 2x – 3 = 7 then this will be called a linear equation.
NCERT Solutions For Class 8 Maths Chapter 3: Understanding Quadrilaterals
Paper is a model for a plane surface. When you join a number of points without lifting a pencil from the paper (and without retracing any portion of the drawing other than single points), you get a plane curve. A simple closed curve made up of only line segments is called a polygon. A regular polygon is both ‘equiangular’ and ‘equilateral’.
For example, a square has sides of equal length and angles of equal measure. Hence it is a regular polygon. A rectangle is equiangular but not equilateral. So in this chapter, you will learn about different types of Polygon and their properties.
NCERT Solutions For Class 8 Maths Chapter 4: Practical Geometry
You have learnt how to draw triangles in Class 6. We require three measurements (of sides and angles) to draw a unique triangle. Since three measurements were enough to draw a triangle, a natural question arises whether four measurements would be sufficient to draw a unique four-sided closed figure, namely, a quadrilateral.
In this chapter you will learn how to construct a unique quadrilateral given the following measurements:
- – 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. Let us take up these constructions one-by-one.
NCERT Solutions For Class 8 Maths Chapter 5: Data Handling
Data is usually collected in the context of a situation that we want to study. For example, a teacher may like to know the average height of students in her class. To find this, she will write the heights of all the students in her class, organize the data in a systematic manner and then interpret it accordingly.
Sometimes, data is represented graphically to give a clear idea of what it represents. So in this chapter, students will learn how to represent data in the form of a graphical manner.
NCERT Solutions For Class 8 Maths Chapter 6: Square & Square Roots
What are Squares and Square Roots? Basically square of a number is the product of that number with itself. Suppose n is the number. It’s square will be denoted as ‘n2‘ and is read as ‘n squared’ or ‘n raised to 2’. The value of ‘n2‘ is equal to ‘n × n’. Now, we know that 25 is a perfect square. Then what will be ‘5’ called? Well, 5 is the square root of the square number 25. In this chapter, we’ll learn about Square and Square Roots and how to find them.
NCERT Solutions For Class 8 Maths Chapter 7: Cubes & Cube Roots
This chapter deals with an important topic to build the foundation of the students while dealing with numbers and complex numerical operations. NCERT Grade 8 Mathematics Chapter 7 – Cubes and Cube Roots help the students to learn and master multiplication and division on the advanced level.
The summary and assessments help the students to deal with the chapter and solve the sums given in the chapter. Right from the alpha to omega of dealing with cubes and cube roots, this chapter helps the students to understand what is a cube, how it is derived and other fundamentals. New concepts, interesting problems, solved and unsolved examples given in simple language make this chapter interesting and fun to learn.
NCERT Solutions For Class 8 Maths Chapter 8: Comparing Quantities
In this chapter, students will learn about the following topics:
- Recalling Ratios and Percentages
- Finding the Increase or Decrease Percent
- Finding Discounts
- Estimation in Percentages
- Prices Related to Buying and Selling (Profit and Loss)
- Finding cost price/selling price
- Profit %/loss%
- Sales Tax/Value Added Tax/Goods and Services Tax
- Compound Interest
- Deducing a Formula for Compound Interest
- Rate Compounded Annually or Half Yearly (Semi-Annually)
- Applications of Compound Interest Formula
NCERT Solutions For Class 8 Maths Chapter 9: Algebraic Expressions and Identities
In this chapter, students will discuss the following topic: 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. Multiplying a Monomial by a Monomial, etc, Identity, Standard Identities and Applying Identities.
NCERT Solutions For Class 8 Maths Chapter 10: Visualizing Solid Shapes
All of us have seen a pyramid, what’s its shape? Conical! That’s right. What about football? What is the shape of a football? Spherical, you’d say? You’re right again. So what’re these shapes? These are solid shapes. In simple terms, we’re visualizing solid shapes. So in this chapter, you will learn more detail about visualizing solid shapes.
NCERT Solutions For Class 8 Maths Chapter 11: Mensuration
In this chapter, students will learn about the measurement of the geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc. Here, the concepts of mensuration are explained and all the important mensuration formulas and properties of different geometric shapes and figures are covered.
NCERT Solutions For Class 8 Maths Chapter 12: Exponents & Powers
When we have to repeatedly multiply a number by itself, we raise it to power. This is known as the Exponent. The power in the exponent represents the number of times that we want to carry out the multiplication operation. Exponents have their own set of rules when it comes to carrying out Arithmetic Operations. In this chapter, we will learn about powers, exponents and their peripheral rules.
NCERT Solutions For Class 8 Maths Chapter 13: Direct & Inverse Proportions
Sometimes a change in the proportions of one quantity means a change in the proportions of the other! For example, when you buy more apples, you’ll have to pay more money. Similarly, if we increase the speed of a vehicle, the time that it takes to cover some distance goes down. The first is an example of direct proportionality and the second is an example of quantities that are inversely proportional.
NCERT Solutions For Class 8 Maths Chapter 14: Factorization
Let us take a natural number, say 30, and write it as a product of other natural numbers, say 30 = 2 × 15 = 3 × 10 = 5 × 6 Thus, 1, 2, 3, 5, 6, 10, 15 and 30 are the factors of 30. Of these, 2, 3 and 5 are the prime factors of 30.
A number written as a product of prime factors is said to be in the prime factor form; for example, 30 written as 2 × 3 × 5 is in the prime factor form. The prime factor form of 70 is 2 × 5 × 7. The prime factor form of 90 is 2 × 3 × 3 × 5, and so on. Similarly, we can express algebraic expressions as products of their factors. This is what we shall learn to do in this chapter.
NCERT Solutions For Class 8 Maths Chapter 15: Introduction to Graphs
The purpose of the graph is to show numerical facts in visual form so that they can be understood quickly, easily and clearly. Thus graphs are visual representations of data collected. Data can also be presented in the form of a table; however, a graphical presentation is easier to understand. This is true in particular when there is a trend or comparison to be shown. So in this chapter, we will discuss the types of graphs.
NCERT Solutions For Class 8 Maths Chapter 16: Playing with Numbers
You have studied various types of numbers such as natural numbers, whole numbers, integers, and rational numbers. You have also studied a number of interesting properties about them. In Class VI, we explored finding factors and multiples and the relationships among them. In this chapter, we will explore numbers in more detail. These ideas help in justifying tests of divisibility.
Learn Online Lessons To Crack The Exam
Now that all the schools are closed and everyone is under lockdown, the government has recommended that students should learn from the online medium as well. The HRD ministry has recently recommended the Diksha postal from where the students can watch online videos where the teachers have explained the topics and concepts as that of the present in the CBSE curriculum.
We also recommend that after watching these online classes you can test whether you have understood the concept better or not. You can have a look at Embibe where you can practise and take mock tests for free. Here are the steps in order to take a mock test or a practice test.
- – 1st Step: Visit embibe.com If you are not logged in, we recommend you log in to have the best experience.
- – 2nd Step: Click on the “Take a Test” button under the search field.
- – 3rd Step: Make sure that you have selected your Goal as Foundation-8. If not then click on “change your goal” and select it.
- – 4th Step: Select the Subject (Science or Maths).
- – 5th Step: Select the unit that you want to take the test on and click on “Start Test”.
- – 6th Step: In case you want to practise before you take a test, then you can always click on “Start Practice” present at the end.
FAQs Regarding NCERT Solutions For Class 8 Maths
Below are some of the frequently asked questions regarding NCERT Solutions for Class 8 Math:
A1. The NCERT questions (one present in the NCERT Textbook) are not always your simple problem. There are some questions which demand the students to think out of the box. Hence, understanding the concepts plays a major factor in solving NCERT Textbook Questions for Class 8 Maths.
A2. No, one must understand the concept very well before they start solving the NCERT Questions for Class 8 Maths. The NCERT questions are asked in the final examination with some minor changes here and there. So if you know the concept behind the problem you will be able to solve the questions easily.
A3. When you are not able to come up with the correct answer or not able to solve it then only refer the NCERT solutions. It is important that the student practices mathematics before they refer to the solution. This will influence the development of problem-solving ability.
We hope that these CBSE NCERT Solutions for Class 8 Maths has helped you in your studies. If you have any doubt then you can ask it from the link provided below. Our academic experts will help you regarding any educational doubts.591 Views