NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 8 Maths consists of the chapter-wise solutions to all the problems provided in the NCERT textbook for Class 8 Maths. GeeksforGeeks has created a detailed chapter-wise solution for the NCERT book of class 8 that contains problems on various topics like Rational Numbers, Linear Equations, Quadrilaterals, Data Handling, and many more. Each chapter in this solution thoroughly covers every exercise along with a detailed step-by-step explanation of the solutions.
There are 16 chapters altogether in this book. As a student, you must constantly revise and practice all of the solutions. Begin by answering the problems in the NCERT book, and then check these class 8 maths NCERT solutions.
NCERT Solutions for Class 8 Maths Chapters List (1 to 16)
The below table contains the NCERT solutions chapter-wise (1 to 16) list for Class 8 Maths:-
NCERT Solutions for Class 8 Maths Chapters List
|Chapter 1 – Rational Numbers||Chapter 9 – Algebraic Expressions and Identities|
|Chapter 2 – Linear Equations in One Variable||Chapter 10 – Visualising Solid Shapes|
|Chapter 3 – Understanding Quadrilaterals||Chapter 11 – Mensuration|
|Chapter 4 – Practical Geometry||Chapter 12 – Exponents and Powers|
|Chapter 5 – Data Handling||Chapter 13 – Direct and Inverse Proportions|
|Chapter 6 – Squares and Square Roots||Chapter 14 – Factorisation|
|Chapter 7 – Cubes and Cube Roots||Chapter 15 – Introduction to Graphs|
|Chapter 8 – Comparing Quantities||Chapter 16 – Playing with Numbers|
NCERT Solutions for Class 8 Maths Chapter 1 – Rational Numbers
This chapter helps to learn about the properties of real numbers, rational numbers, the representation of a rational number on a number line, and additive and multiplicative identity. Here in NCERT Solutions class 8 Maths chapter 1, we have covered NCERT Problems based on Rational numbers mainly discussing the characteristics of all real numbers, integers, whole numbers, rational numbers, and natural numbers.
This chapter consists of two exercises only in which the problems in Exercise 1.1 are related to the properties of the rational numbers (closure, commutativity, associativity, etc). However, in Exercise 1.2 the problems are related to the advanced concepts of the rational number like the representation of rational numbers on a number line and determining any numbers of rational numbers between any two rational numbers.
Class 8 Maths NCERT Solutions Chapter 1 Exercises:
More resources for Class 8 Chapter 1 Rational Numbers
NCERT Solutions for Class 8 Maths Chapter 2 – Linear Equations in One Variable
The linear equations in one variable deal with the expression defined in one variable only and its algebraic operations. This chapter contains six different exercises that have problems based on linear equations in one variable and their application.
There are 65 well-structured questions in Chapter 2 linear equations in one variable, which may be divided into 20 simple calculation sums, 38 intermediate levels, and 7 difficult problems. Exercises 2.1, 2.2, 2.3, and 2.4 are designed to determine the solution of the linear equation. However, Exercises 2.5 and 2.6 are based on the topic equations reducible to the linear form.
Class 8 Maths NCERT Solutions Chapter 2 Exercises:
More Resources for CBSE Class 8 Math Chapter 2 Linear Equations
NCERT Solutions for Class 8 Maths Chapter 3 – Understanding Quadrilaterals
This chapter covers all types of quadrilaterals such as polygonal shapes like squares, rectangles, triangles, pentagons, hexagons, etc. In total, this chapter contains four exercises that include a total of 31 questions, out of which 7 are easy, 16 are medium and 8 are difficult problems. Exercise 3.1 covers the problems on the definition of various polygons and their properties, Exercise 3.2 is based on the concept of the Angle sum property of a polygon. However, Exercise 3.3 covers the elements and the properties of quadrilaterals like trapezium, kite, and parallelogram, and Exercise 3.4 is designed to learn some special types of parallelograms like squares, rectangles, and rhombus.
Class 8 Maths NCERT Solutions Chapter 3 Exercises:
More resources for Class 9 Chapter 3 Understanding Quadrilaterals
NCERT Solutions for Class 8 Maths Chapter 4 – Practical Geometry
The chapter on practical geometry helps to learn the construction of quadrilaterals when different parameters of it are known. Geometry may be visualized and realized in the actual world with the help of practical geometry. This can be applied in architecture, sculpture, dimension calculations, and other areas.
This chapter contains a total of five exercises only, with 8 questions in total. Each question is divided into 3-4 subparts with easy, to difficult questions. Exercise 4.1 covers the problem for the case when the lengths of four sides and a diagonal are given. Similarly, Exercises 4.2, 4.3, and 4.4 are based on the topics when two diagonals and three sides are known, two adjacent sides and three angles are given and three sides and two included angles are provided. However, Exercise 4.5 contains problems based on some special cases.
Class 8 Maths NCERT Solutions Chapter 4 Exercises:
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NCERT Solutions for Class 8 Maths Chapter 5 – Data Handling
Data handling is a method of organizing data or information systematically using diagrams like pictographs, pie charts, bar graphs, and histograms. Students learn about data organization and representation in this chapter. Data handling is the process of organizing data in a systematic manner.
This chapter consists of only three exercises. Exercise 5.1 is based on the basic concept of representing, organizing, and grouping the data provided while Exercise 5.2 helps to make a pie chart for the given data. Moreover, Exercise 5.3 covers the topic that helps to understand the basic concept of probability.
Class 8 Maths NCERT Solutions Chapter 5 Exercises:
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NCERT Solutions for Class 8 Maths Chapter 6 – Squares and Square Roots
As the name of the chapter says, Squares and square roots this chapter gives the knowledge of the concept to determine the squares and square roots of a number. The different properties and the pattern followed to find a square number are discussed in four exercises.
Exercises 6.1 and 6.2 are based on the basic idea of square numbers and different ways to determine them. Though Exercises 6.4 and 6.5 are focused on the concept of the determination of the square root of a number.
Class 8 Maths NCERT Solutions Chapter 6 Exercises:
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NCERT Solutions for Class 8 Maths Chapter 7 – Cubes and Cube Roots
Again, as the title of the chapter suggests Cubes and Cube roots this chapter helps to understand the concept to determine the cubes and cube roots of a number. The different patterns followed to find a cube and cube root of a number are discussed in only two exercises.
Exercise 7.1 contains the problem to determine whether the given number is a perfect cube or not. And Exercise 7.2 focused on the idea of the cube root and the determination of the cube root of a number.
Class 8 Maths NCERT Solutions Chapter 7 Exercises:
More Resources for Class 9 Chapter 7 Cubes and Cube Roots
NCERT Solutions for Class 8 Maths Chapter 8 – Comparing Quantities
This chapter gives a basic understanding of the topics such as increased and decreased percentages, market price, selling price, cost price, discount, discount price, profit or loss, interest, etc.
In total there are three exercises in this chapter, Exercise 8.1 is based on the topics of ratios and percentage, and Exercises 8.2 and 8.3 covers a wide range of concepts such as percentage, profit or loss, tax, and compound interest.
Class 8 Maths NCERT Solutions Chapter 8 Exercises:
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NCERT Solutions for Class 8 Maths Chapter 9 – Algebraic Expressions and Identities
The chapter Algebraic Expressions and Identities briefs the basics of monomials, binomials, and polynomials in an algebraic expression. Multiplying different polynomials, and solving questions using algebraic identities are essential topics covered in this chapter.
There are 25 well-structured questions in Chapter 9 algebraic expressions and identities, including 8 basic identity-based problems, 12 intermediate problems, and 5 hard questions. Exercises 9.1 and 9.2 covers the basic concepts of terms related to polynomials and operations on the expressions. Exercises 9.3 and 9.4 are based on the multiplications of polynomials while Exercise 9.5 discussed the standard algebraic identities.
Class 8 Maths NCERT Solutions Chapter 9 Exercises:
More resources for Class 8 Maths Chapter 9 Algebraic Expressions and Identities
NCERT Solutions for Class 8 Maths Chapter 10 – Visualising Solid Shapes
This chapter provides an understanding of different solids shapes when visualized in different dimensions and various terms used to describe their properties. The chapter covered three different exercises consisting of a total of 15 Questions. Out of which 10 are easy, 3 are moderate and 2 are easy-to-level questions.
Here exercises 10.1 and 10.2 are based on the concept of the visualization of different solid shapes at different positions and the mapping spaces around the observer. Though, Exercise 10.3 discussed the terms like faces, edges, vertices, and the relation between them, related to a solid shape.
Class 8 Maths NCERT Solutions Chapter 10 Exercises:
More resources for Class 8 Maths Chapter 10 Visualising Solid Shapes
NCERT Solutions for Class 8 Maths Chapter 11 – Mensuration
Mensuration is the chapter that deals with the measurement or the calculations related to determining the area, perimeter, volume of various geometrical figures like squares, cubes, rectangles, cuboids, cylinders, and triangles, etc.
This chapter consists of only four exercises in which Exercises 11.1 and 11.2 deal with problems related to the areas of different geometrical shapes, combinations of shapes, and everyday life examples. However, Exercises 11.3 and 11.4 discussed the terminology related to 3-Dimensional shapes.
Class 8 Maths NCERT Solutions Chapter 11 Exercises:
More resources for CBSE Class 8 Maths Chapter 11 Mensuration
NCERT Solutions for Class 8 Maths Chapter 12 – Exponents and Powers
The chapter Exponents and Powers cover the primary concepts such as the laws of exponents and their applications. The main topics covered in this chapter are expressing numbers in the form of exponents and applying the laws of negative exponents.
In class 8 Maths chapter 12 exponents and powers, there are 11 questions, four of which are based on exponent laws, three of which are medium level, and two of which are difficult. Exercise 12.1 is specifically based on the laws of exponents, and Exercise 12.2 deals with the problems using the applications of power to write large numbers in exponents and vice-versa.
|Class 8 Maths NCERT Solutions Chapter 12 Exercises:|
|More resources for CBSE Class 8 Maths Chapter 12 Exponents and Powers|
NCERT Solutions for Class 8 Maths Chapter 13 – Direct and Inverse Proportions
This chapter gives a detailed explanation of inverse and direct proportions through problems discussed in two exercises. This chapter covers various types of questions on direct proportion and identifying inverse proportion. And determining the value of quantities following this relationship, the important topics explained in class 8 maths NCERT solutions chapter 13.
There are 21 well-structured problems in Chapter 13 on direct and inverse proportion. There are five simple relationship identification questions, ten moderately tough questions, and six lengthy answer-type sums. Exercise 13.1 contains problems to determine the direct proportions between any quantity and Exercise 13.2 deals with the questions from the indirect inverse.
|Class 8 Maths NCERT Solutions Chapter 13 Exercises:|
More resources for Class 8 Maths Chapter 13 Direct and Inverse Proportions
NCERT Solutions for Class 8 Maths Chapter 14 – Factorisation
Class 8 mathematics chapter 14 Factorisation teaches students how to factor algebraic equations using numerous methods and the steps required to divide different types of polynomials. Factorization is an important topic since it is an integral part of mathematics. This chapter comprises the problems on the factors of natural numbers and algebraic expressions, factorization by regrouping terms, factorization using identities, and division of algebraic expressions.
The chapter includes four exercises out of which exercises 14.1 and 14.2 are based on the topic factorizations and their application while exercises 14.3 and 14.4 emphasize the division of algebraic expressions.
Class 8 Maths NCERT Solutions Chapter 14 Exercises:
More resources for Class 8 Maths Chapter 14 Factorisation
NCERT Solutions for Class 8 Maths Chapter 15 – Introduction to Graphs
The chapter Introduction to Graphs is all about the basic understanding of graphs, kinds of graphs, etc. Other topics include linear graphs and how to apply them to daily life problems.
Chapter 15 introduction to graphs consists of a total of 13 problems. 7 are difficult-to-level analytical questions, 2 are moderate and 4 are easy problems. Exercise 15.1 deals with problems from the introduction to graphs and terminology related to them while problems in Exercises 15.2 and 15.3 provided an emphasis on the construction of different types of graphs and their applications.
Class 8 Maths NCERT Solutions Chapter 15 Exercises:
More resources for CBSE Class 8 Maths Chapter 15 Introduction to Graphs
NCERT Solutions for Class 8 Maths Chapter 16 – Playing with Numbers
All the above-mentioned chapters basically helped to learn about various kinds of numbers and their different properties likewise in this chapter the concept of numbers is discussed in a more general way. Chapter 16 of Maths for Class 8 Playing with numbers allows students to explore the properties of numbers in an interactive manner. This chapter assists students in determining the divisibility of integers by providing a list of pointers and methods for increasing calculation speed.
Chapter 16 Playing with Numbers consists of a total of 14 problems. Out of which, 5 are easy-to-level problems based on games, 7 are moderate-level questions based on divisibility tests, while the rests two are difficult-to-level questions. Exercise 16.1 and 16.2 contains fun activities, puzzles, etc. such as divisibility tests to determine any missing number in a series of numbers.
Class 8 Maths NCERT Solutions Chapter 16 Exercises:
More resources for Class 8 Maths Chapter 16 Playing with Numbers
Important Resources for CBSE Class 8th provided by GeeksforGeeks:-
- CBSE Class 8 Maths Notes
- RD Sharma Solutions Maths Class 8
- CBSE Class 8 Maths Formulas
- CBSE Physics Class 8 Notes
- CBSE Class 8 Chemistry Notes
FAQs on NCERT Solutions for Class 8 Maths
Q1: What are some important formulas from Class 8 Maths NCERT?
Here is the list of some important formulas covered in NCERT solutions from Mensuration and Algebra, for class 8 maths are given below:
Important Mensuration formulas:
- TSA of Cuboid = 2(lb + bh +lh)
- TSA of Cube = 6a2
- TSA of Right Circular Cone = πr (l + r)
- CSA of Solid Shapes
- CSA of Cuboid = 2(l + b)
- CSA of Cube = 4a2
- CSA of Right Circular Cone = πrl
- Volume of Cuboid = lbh
- Volume of Cube = a3
- Volume of Right Circular Cone = ⅓ × πr2h
Important Algebraic Expressions
- (x + a)(x + b) = x2 + (a + b)x + ab
- (x – a)(x – b) = x2 – (a + b)x + ab
- (x – a)(x + b) = x2 + (b – a)x – ab
Q2: Why it is important to study Class 8 maths Notes for CBSE Exams?
Making notes when studying the NCERT Solutions Class 8 Maths is usually a good idea because they serve as guides for pupils while revising the amounts. Furthermore, notes aid students in recalling topics involved in a problem at a glance. This cuts down on the amount of time it takes to go over an issue during an exam.
Q3: Why are NCERT Solutions for Class 8 Maths Important?
NCERT Solutions for Class 8 Math are essential since they allow students to double-check their responses to exercise problems. These NCERT answers for class 8 math are self-explanatory and give pupils a full overview of the procedures they must take to obtain the correct answer using the most effective way.
Q4: How are NCERT Solutions for Class 8 Maths Promoting Problem-Solving in Students?
NCERT solutions for class 8 maths teach how to break down a question into smaller sections to understand it. Students can not only develop a problem-solving approach but also improve their mathematics skills by applying these approaches.
Q5: How Many Chapters are there in Class 8 Maths NCERT Solutions?
The NCERT solutions for class 8 maths contain 16 chapters. Mensuration, graphs, factorization, exponents, and other topics covered in this chapter create the foundation for higher levels. Because mathematics is a subject in which all subjects are interconnected, it is critical to be well-versed in all of these chapters in order to prevent misunderstanding in higher grades.
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