# NCERT Solutions for Class 8 Maths

NCERT Solutions for Class 8 Maths: includes all the questions provided in the textbook that is prescribed in accordance with the CBSE Board. The syllabus given for all the classes is completely based on the NCERT curriculum. Hence, preparation of exams using the NCERT Solutions will definitely provide students with an advantage of scoring well.

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.

Here we are providing NCERT Solutions for Class 8 Maths, the solutions are the latest and up-to-date. You can download Solution for each and every chapter listed below (Chapterwise).

## NCERT Solutions for Class 8 Maths – Free PDF Download Chapterwise

• Rational Numbers
• Linear Equations in One Variable
• Practical Geometry
• Data Handling
• Squares and Square Roots
• Cubes and Cube Roots
• Comparing Quantities
• Algebraic Expressions and Identities
• Visualising Solid Shapes
• Mensuration
• Exponents and Powers
• Direct and Inverse Proportions
• Factorisation
• Introduction to Graphs
• Playing with Numbers

## NCERT Solutions for Class 8 Maths– Chapterwise Excersis

#### Class 8 Maths Chapter 1 Rational Numbers

This chapter will help you understand 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 advanced 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

#### 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 be quadrilateral, triangle, hexagon, pentagon, etc. When each and every side of the polygon is equal and the external angles are at 360° then that polygon is called a quadrilateral.

• 3.1 Introduction
• 3.2 Polygons
• 3.3 Sum Of The Measures Of The Exterior Angles Of A Polygon
• 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
• 4.3 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, which is how to handle the data. This chapter will help you develop basic knowledge on how to handle the data and arrange it in 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 another number says 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 patterns.

• 7.1 Introduction
• 7.2 Cubes
• 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 a 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 on 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 expressions.

• 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 of some solid figures like triangular pyramids, cuboids, square bases, 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. These 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 the division of one polynomial by another, monomial by monomial or polynomial, and find 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 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

## NCERT Solutions for Class 8 Maths Details

It is important to prepare for the entrance exam along with the school exams. This NCERT solution 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. Most of the students start taking tuition from class 8 onwards as a plethora of new concepts are introduced in this class. 90% of the students opt for tuition’s and even after that, they score low marks. Reason? Poor concepts and lack of practice. Yes! Maths is a game whose key players are concepts and formulas. If you don’t know the formula then you cannot even go a single step further.

I know you would have always wished that whenever your teacher asks any question, your hand should be raised first. But don’t worry. That can happen. You can also become a maths genius like the toppers of your class. You just need the right study material with apt guidance. There is no second option than to solve NCERT books.

These books are appropriately designed as per the latest CBSE pattern and are in fact prescribed by CBSE as well. A teacher may feel bugged when you keep on pinging her every time for checking the answer. What if you get the complete NCERT Solutions for Class 8 Maths? Sounds good?

## NCERT Solutions for Class 8th Maths Information

Yes, here we bring to you the NCERT solutions for class 8 Maths which solves each and every question till the answer gives proper explanations at every step. Chapters such as Algebra, rational numbers, mensuration, etc. need formula memorization. Chapter 6 Square and square roots and chapter 7 cube and cube roots form the base of mathematics. It is advisable for students to keep practicing them every day. Students generally get confused between them and 80% of the students answer it wrongly.

Then come similar chapter exponents and powers. Here you need to be very careful regarding the figures. It has been noticed that most of the students often copy wrong figures from the question paper. Stay attentive while solving your mathematics problem. One wrong figure will lead you to a wrong answer, so copy them very carefully.

We recommend the students make a chart of all the formulas and paste them near the place of their study. This will help them to memorize the formulas in an easy manner without any hassle. NCERTGuess.com visions to make each and every student in India fully equipped with the NCERT study material (textbook + solutions) so that he/she does not face any problem in their preparation for the examination.

## FAQs on NCERT Solutions for Class 8 Maths

How do I start the Class 8 Maths (NCERT)?

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.

How can I score good marks in the Maths Class 8 NCERT?

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.

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.

Which book of mathematics should I refer to in Class 8?

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

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.