NCERT Solutions For Class 8 Maths

NCERT Solutions For Class 8 Maths

From this page candidates can check NCERT Solutions for Class 8 Maths for all the chapters. In class 8 NCERT books there are 15 chapters. The chapters in class 7 in maths subject is designed to enhance the development of mathematical understanding and thinking. The students in class VII can download the NCERT solutions of all the 15 chapters in the Maths textbook and use for preparation. If you are looking for chapter wise NCERT Solutions for Class 8 Maths,. We have created a detailed solutions of 7th class maths textbook. Furthmore, can also given you a Extra Practive Questions for Class 8 Maths on our website.

Key Features Class 7 Maths NCERT Solutions:

  • Class 8 Maths NCERT Solutions were prepared by subject experts.
  • Step by step solutions to understand problems better.
  • Detailed Explanation to solve problems and formulas are mentioned in between steps to learn effectively.
  • Exercise wise Class 7 Maths solutions also given to access easily.
  • You can download NCERT Solutions for Class 8 Maths PDF or save the solution images and take the print out to keep it handy for your exam preparation.

NCERT Curriculum For Class 8 Maths

Student can access the NCERT solutions for Class 7 Maths for all chapters given links below.

  1. Chapter : Rational Numbers
  2. Chapter : Linear Equations in One Variable
  3. Chapter : Understanding Quadrilaterals
  4. Chapter : Practical Geometry
  5. Chapter : Data Handling
  6. Chapter : Squares and Square Roots
  7. Chapter : Cubes and Cube Roots
  8. Chapter : Comparing Quantities
  9. Chapter : Algebraic Expressions and Identities
  10. Chapter : Visualising Solid Shapes
  11. Chapter : Mensuration
  12. Chapter : Exponents and Powers
  13. Chapter : Direct and Inverse Proportions
  14. Chapter : Factorisation
  15. Chapter : Introduction to Graphs
  16. Chapter : Playing with Numbers

We make it a point to assist students in every possible manner we can, and that includes providing solutions for every subject. NCERT textbooks have been reputed to be the best textbooks for school education, and we make the solutions competent for the books.

Mathematics comes across a rather dreadful subject for most students in school, and we believe that a little practice can sort that problem, Therefore, our solutions focus on building the concepts based on the fundamentals, and also exploring alternative methods to solve a particular problem.

We make it a point to assist students in every possible manner we can, and that includes providing solutions for every subject. NCERT textbooks have been reputed to be the best textbooks for school education, and we make the solutions competent for the books.

Mathematics comes across a rather dreadful subject for most students in school, and we believe that a little practice can sort that problem, Therefore, our solutions focus on building the concepts based on the fundamentals, and also exploring alternative methods to solve a particular problem.

Main Topics of Class 8 Maths NCERT Text Book

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 : Linear Equation in One Variable

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

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 Practical Geometry

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
  • 7.2 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 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.

Chapter 1

Linear Equation in One Variable

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

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

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

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

Chapter 5

Data Handling

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.

  • 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

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

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
  • 7.2 Cubes
  • 7.3 Cube Roots

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

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

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

Chapter 11

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

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

Chapter 14

Linear Equation in One Variable

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.

  • 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?

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

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
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25
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