The NCERT Solutions for Class 8 Maths for the academic year 2024-25 provide comprehensive, chapter-wise solutions to all the problems in the Class 8 Maths textbook. These solutions are designed to help students understand concepts better and excel in their studies by offering step-by-step explanations and clear methodologies. The chapter-wise solutions are available in PDF format, making them easily accessible for download and reference.
NCERT Solutions for Class 8 Maths 2024-25
These solutions cover all the chapters in the Class 8 Maths textbook, ensuring that students can find detailed explanations and answers for every exercise. The chapter-wise PDF downloads are organized for easy access, allowing students to study at their own pace and review specific topics as needed.
NCERT Solution for Class 8 Maths is very beneficial for students preparing for the annual school examination and other competitive exams because the CBSE Board class 8 Mathematics syllabus is based on NCERT.
So this Class 8 Math NCERT Solution by GeeksforGeeks covers all the chapters of the NCERT Maths textbook with solutions and the latest NCERT curriculum, covering topics such as Rational Numbers, Linear Equations, Quadrilaterals, Data Handling, and more according to the CBSE Class 8 Syllabus.
Mathematics is an important subject in academics. If students plan their class 8 Maths syllabus accordingly, then they can score good marks in exams. Various questions based on NCERT Class 8 Math topics were asked in almost all competitive exams in India.
NCERT Solutions for Class 8 Maths - Chapter Wise Solution
Below is the chapter wise solution of NCERT Class 8 Maths Solution.
NCERT Solutions for Class 8 Maths 2024-25 |
|---|
|
Download PDF for NCERT Solutions for Class 8 Maths 2024-25
Download the Class 8 Math NCERT Solution by clicking on the link below.
Class 8 Math NCERT Solution PDF | |
|---|
Chapter Wise NCERT Soutions for Class 8 Maths
In the upcoming section you will get chapter-wise NCERT solutions for Class 8 Maths. Along with detailed explanations and answers for all chapters in the NCERT textbook
NCERT Solutions for Class 8 Maths Chapter 1 - Rational Numbers
Class 8th Maths Chapter 1 is about the properties of real numbers, rational numbers, the representation of a rational number on a number line, and additive and multiplicative identity. To Access and download NCERT Class 8 solution, you simply follow the links given below.
In NCERT Notes, 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.
Exercise 1.1 are related to the properties of rational numbers (closure, commutativity, associativity, etc.). However, Exercise 1.2 are completely related to the advanced concepts of rational numbers like the representation of rational numbers on a number line and determining any numbers of rational numbers between any two rational numbers.
Note: Here in this section, we have mentioned some of the most important resources you will need during the practice of NCERT class 8 math's, chapter 1.
Must Check
NCERT Solutions for Class 8 Maths Chapter 2 - Linear Equations in One Variable
Class 8 Maths Chapter 2 deals with the Linear Equations in One Variable 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 a total of six exercises in Class 8 Maths NCERT Solutions Chapter 2 with some extra questions. Students can access their solutions from the links given here.
Maths Class 8 NCERT Solutions Chapter 2 | No Of Questions |
|---|
Ex 2.1 | 12 Questions (12 Short Answers) |
Ex 2.2 | 16 Questions (6 Long Answers, 10 Short Answers) |
Ex 2.3 | 10 Questions (3 Long Answers, 7 Short Answers) |
Ex 2.4 | 10 Questions (4 Long Answers, 6 Short Answers) |
Ex 2.5 | 10 Questions (1 Long Answer, 9 Short Answers) |
Ex 2.6 | 7 Questions (1 Long Answer, 6 Short Answers) |
In Chapter 2 linear equations in one variable, we have 65 well-structured questions, 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.
Note: To get more important tips on Class 8 Linear Equations, go through the below-listed resources.
Helpful Resources
NCERT Solutions for Class 8 Maths Chapter 3 - Understanding Quadrilaterals
Class 8 Maths Chapter 3 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. There are a total of four exercises in Class 8 Maths NCERT Solutions Chapter 3 Exercises with some extra questions.
Class 8 Students can access their solutions from the links given here.
Maths Class 8 NCERT Solutions Chapter 3 | No Of Questions |
|---|
Ex 3.1 | 7 Questions (1 Long Answer, 6 Short Answers) |
Ex 3.2 | 6 Questions (6 Short Answers) |
Ex 3.3 | 12 Questions (6 Long Answers, 6 Short Answers) |
Ex 3.4 | 6 Questions (1 Long Answer, 5 Short Answers) |
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.
Note: Here in this section, we have listed some of the most important links that will help you upgrade the NCERT-class Quadrilaterals.
Must Check
NCERT Solutions for Class 8 Maths Chapter 4 - Practical Geometry
Class 8 Maths Chapter 4 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. There are a total of five exercises in the Maths Class 8 NCERT Solutions Chapter 4 Exercises with some extra questions.
Class 8 Students can access their solutions from the links given here.
Maths Class 8 NCERT Solutions Chapter 4 | No Of Questions |
|---|
Ex 4.1 | 1 Question (1 Long Answer) |
Ex 4.2 | 1 Question (1 Long Answer) |
Ex 4.3 | 1 Question (1 Long Answer) |
Ex 4.4 | 1 Question (1 Long Answer) |
Ex 4.5 | 4 Questions (4 Long Answers) |
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.
Note: Beyond these pages, you can find more related resources for NCERT Class 8 Geometry. We have listed some of the more pages related to Geometry that help sharpen your skills and ignite your understanding.
Also Read
NCERT Solutions for Class 8 Maths Chapter 5 - Data Handling
Class 8 Maths Chapter 5 is all about Data handling which 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 systematically. There are a total of three exercises in the Class 8 Maths NCERT Solutions Chapter 5 Exercises with some extra questions.
Class 8 Students can access their solutions from the links given here.
Class 8 NCERT Solutions Maths Chapter 5 | No Of Questions |
|---|
Ex 5.1 | 5 Questions (5 Short Answers) |
Ex 5.2 | 5 Questions (3 Long Answers, 2 Short Answers) |
Ex 5.3 | 6 Questions (2 Long Answers, 4 Short Answers) |
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.
Note: Explore more useful resources like data handling notes and data handling formulas to boost your data Handling concepts.
Helpful Resources
NCERT Solutions for Class 8 Maths Chapter 6 - Squares and Square Roots
Class 8 Maths Chapter 6 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. There are a total of four exercises in the Class 8 Maths NCERT Solutions Chapter 6 Exercises with some extra questions.
Class 8 Students can access their solutions from the links given here.
Maths Class 8 NCERT Solutions Chapter 6 Exercises | No Of Questions |
|---|
Ex 6.1 | 9 Questions (9 Short Answers) |
Ex 6.2 | 2 Questions (2 Short Answers) |
Ex 6.3 | 10 Questions (3 Long Answers, 7 Short Answers) |
Ex 6.4 | 9 Questions (3 Long Answers, 6 Short Answers) |
Exercises 6.1 and 6.2 are based on the basic idea of square numbers and different ways to determine them. Though Exercises 6.3 and 6.4 are focused on the concept of the determination of the square root of a number.
Note: Get hands-on with the NCERT class 8 chapter 6 (Square and Square Roots) important formulas and RD Sharma solutions.
NCERT Solutions for Class 8 Maths Chapter 7 - Cubes and Cube Roots
Class 8 Maths Chapter 7 suggests Cubes and Cube roots which 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. There are a total of two exercises in the Class 8 Maths NCERT Solutions Chapter 7 Exercises with some extra questions.
Class 8 Students can access their solutions from the links given here.
Maths Class 8 NCERT Solutions Chapter 7 Exercises | No Of Questions |
|---|
Exercise 7.1 | 4 Questions (4 Short Answers) |
Exercise 7.2 | 3 Questions (2 Long Answers,1 Short Answer) |
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.
Access the following Related resources for Class 8 Chapter 7 Cubes and Cube Roots:
Note: Level up your Cubes and Cube Roots concepts by exploring the below-linked important notes.
Also Check
NCERT Solutions for Class 8 Maths Chapter 8 - Comparing Quantities
Class 8 Maths Chapter 8 gives a basic understanding of the topics related to comparing quantities like increased and decreased percentages, market price, selling price, cost price, discount, discount price, profit or loss, interest, etc. There are a total of Three exercises in the Class 8 Maths NCERT Solutions Chapter 8 Exercises with some extra questions.
Class 8 Students can access their solutions from the links given here.
Maths Class 8 NCERT Solutions Chapter 8 Exercises | No Of Questions |
|---|
Exercise 8.1 | 6 Questions (1 Long Answer, 5 Short Answers) |
Exercise 8.2 | 10 Questions (4 Long Answers, 6 Short Answers) |
Exercise 8.3 | 12 Questions (6 Long Answers, 6 Short Answers) |
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.
Note: Deepen your understanding of comparing quantities in Class 8, Chapter 8! Dive into related resources like important notes on Comparing Quantities, RD Sharma solutions, and all the important formulas for Class 8, Chapter 8 Comparing Quantities.
NCERT Solutions for Class 8 Maths Chapter 9 - Algebraic Expressions and Identities
Class 8 Maths Chapter 9 is on Algebraic Expressions and Identities which briefs the basics of monomials, binomials, and polynomials in an algebraic expression. In the Class 8 Maths NCERT Solutions Chapter 9 Exercises, 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.
Note: For more input and vital knowledge on NCERT Class 8, Chapter 9, Algebraic Expressions and Identities, follow the below link. It will provide you with more useful insights on this topic.
NCERT Solutions for Class 8 Maths Chapter 10 - Visualizing Solid Shapes
Class 8 Maths Chapter 10 provides an understanding of visualizing solids shapes when visualized in different dimensions and various terms used to describe their properties. In the Class 8 Maths NCERT Solutions Chapter 10 Exercises, 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.
To Access and Download all our Notes, you simply follow the links given below.
Class 8 NCERT Solutions Maths Chapter 10 Exercises | No Of Questions |
|---|
Exercise 10.1 | 4 Questions (4 Short Answers) |
Exercise 10.2 | 4 Questions (3 Short Answers, 1 Long Answer) |
Exercise 10.3 | 8 Questions (8 Short Answers) |
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.
Note: Here in this section, we have linked more resources, like class 8 chapter 10 notes, RD Sharma, and important formulas.
NCERT Solutions for Class 8 Maths Chapter 11 - Mensuration
Class 8 Maths Chapter 11 Mensuration 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. There are a total of four exercises in the Class 8 Maths NCERT Solutions Chapter 11 Exercises with some extra questions.
Class 8 Students can access their solutions from the links given here.
Maths Class 8 NCERT Solutions Chapter 11 Exercises | No Of Questions |
|---|
Exercise 11.1 | 5 Questions (5 Long Answers) |
Exercise 11.2 | 11 Questions (11 Long Answers) |
Exercise 11.3 | 10 Questions (2 Short Answers, 8 Long Answers) |
Exercise 11.4 | 8 Questions (2 Short Answers, 6 Long Answers) |
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.
Note: Explore more resources to get more deep knowledge on Mensuration.
Must Check
NCERT Solutions for Class 8 Maths Chapter 12 - Exponents and Powers
Class 8 Maths Chapter 12 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. There are a total of two exercises in the Class 8 Maths NCERT Solutions Chapter 12 Exercises with some extra questions.
Class 8 Students can access their solutions from the links given here.
Maths Class 8 NCERT Solutions Chapter 12 Exercises | No Of Questions |
|---|
Exercise 12.1 | 7 Questions (7 Short Answers) |
Exercise 12.2 | 4 Questions (4 Short Answers) |
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.
Note: Here in this section, we have listed some important resources that will help you understand NCERT Class 8 Chapter 12 Exponents and Powers.
Also Check
NCERT Solutions for Class 8 Maths Chapter 13 - Direct and Inverse Proportions
Class 8 Maths Chapter 13 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 Exercises.
Maths Class 8 NCERT Solutions Chapter 13 Exercises | No Of Questions |
|---|
Exercise 13.1 | 10 Questions (10 Short Answers) |
Exercise 13.2 | 11 Questions (11 Long Answers) |
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.
Note: Explore more resources, like notes, formulas, and the RD Sharma solution to Chapter Direct and Inverse Proportions.
Also Read
NCERT Solutions for Class 8 Maths Chapter 14 - Factorization
Class 8 Maths Chapter 14 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. In Class 8 Maths NCERT Solutions Chapter 14 Exercises, the 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.
Note: For more deep knowledge, follow the below links. Here we have mentioned Chapter 14 Factorization, important notes, and formulas.
Also Read
NCERT Solutions for Class 8 Maths Chapter 15 - Introduction to Graphs
Class 8 Maths Chapter 15 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. There are a total of three exercises in the Class 8 Maths NCERT Solutions Chapter 15 Exercises with some extra questions.
Class 8 Students can access their solutions from the links given here.
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.
Note: Explore more useful notes and formulas in NCERT Chapter 15 Introduction to Graphs.
Must Read
NCERT Solutions for Class 8 Maths Chapter 16 - Playing with Numbers
Class 8 Maths Chapter 16 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. Class 8 Maths NCERT Solutions Chapter 16 Exercises Playing with numbers allows students to explore the properties of numbers interactively. This chapter assists students in determining the divisibility of integers by providing a list of pointers and methods for increasing calculation speed.
Class 8 NCERT Solutions Maths Chapter 16 Exercises | No Of Questions |
|---|
Exercise 16.1 | 10 Questions (Short Answers) |
Exercise 16.2 | 4 Questions (Short Answers) |
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.
Note: If you are looking for the important notes of Chapter 16 Playing with Numbers, then here in this section we have mentioned some useful resources that will easily enhance your knowledge of NCERT Chapter 16.
Also Check
CBSE Class 8 Math Marks Weightage 2024 - Chapter-wise
| Unit | Unit Name | Marks |
|---|
| 1 | Number System | 26 |
| 2 | Algebra | 21 |
| 3 | Ratio and Proportion | 8 |
| 4 | Geometry | 18 |
| 5 | Mensuration | 11 |
| 6 | Data Handling | 8 |
| 7 | Introduction to Graphs | 8 |
Total | 100 |
Related Articles:
Summary
The NCERT Solutions for Class 8 Maths for the 2024-25 academic year offer detailed, chapter-wise solutions to all textbook exercises. Available in PDF format for easy download, these solutions provide step-by-step explanations, helping students understand and master the concepts. The solutions align with the latest NCERT syllabus, making them a valuable resource for exam preparation.
Similar Reads
NCERT Solutions for Class 8 Maths 2024-25: Chapter Wise Solution PDF Download The NCERT Solutions for Class 8 Maths for the academic year 2024-25 provide comprehensive, chapter-wise solutions to all the problems in the Class 8 Maths textbook. These solutions are designed to help students understand concepts better and excel in their studies by offering step-by-step explanatio
15+ min read
Chapter 1: Rational Numbers
Chapter 2: Linear Equations in One Variable
Class 8 NCERT Solutions - Chapter 2 Linear Equations in One Variable - Exercise 2.1Question 1. Solve for x: x – 2 = 7 Solution: x – 2 = 7 x=7+2 (Adding two on both sides of equation) x=9 Question 2. Solve for y: y + 3 = 10 Solution: y + 3 = 10 y = 10 –3 (Subtracting 3 from both sides of equation) y = 7 Question 3. Solve for z: 6 = z + 2 Solution: 6 = z + 2 z + 2 = 6 (Rearranging t
3 min read
Class 8 NCERT Solutions - Chapter 2 Linear Equations in One Variable - Exercise 2.2Question 1. If you subtract 1/2 from a number and multiply the result by 1/2, you get 1/8 what is the number? Solution: Let the number be 'a'. According to the question, (a – 1/2) × 1/2 = 1/8 a/2 – 1/4 = 1/8 a/2 = 1/8 + 1/4 a/2 = 1/8 + 2/8 a/2 = (1 + 2)/8 a/2 = 3/8 a = (3/8) × 2 So, a = 3/4 Question
9 min read
Class 8 NCERT Solutions - Chapter 2 Linear Equations in One Variable - Exercise 2.3Question 1. Find the value of x : 3x = 2x + 18 Solution: 3x - 2x =18 (transposing 2x to LHS) X = 18 (solution) Verification — Put the value of x in the equation to verify our solution 3(18) = 2(18) + 18 54 = 36 + 18 54 = 54 LHS = RHS (so our value of x is correct) Question 2. Find the value of t : 5
5 min read
Class 8 NCERT Mathematics Solutions - Chapter 2 Linear Equations in One Variable - Exercise 2.4Chapter 2 of the Class 8 NCERT Mathematics textbook, "Linear Equations in One Variable," introduces students to solving linear equations, which are equations involving only one variable. Exercise 2.4 focuses on applying these concepts to solve a range of linear equations through various methods.In C
9 min read
Class 8 NCERT Solutions - Chapter 2 Linear Equations in One Variable - Exercise 2.5Content of this article has been updated in Class 8 NCERT Solutions – Chapter 2 Linear Equations in One Variable – Exercise 2.2 as per the new NCERT Syllabus Solve the following linear equations. Question 1. x/2 - 1/5 = x/3 + 1/4 Solution: (5x - 2)/10 = (4x + 3)/12 ...(Taking LCM on both the sides)
6 min read
Class 8 NCERT Solutions - Chapter 2 Linear Equations in One Variable - Exercise 2.6We use cross multiplication in this exercise a lot of times, so it is explained here before. Let, a/b = c/d Now if we multiply both sides by the denominators of left side and right side, we get, (a/b) X (b X d) = (c/d) X (b X d) => a X d = b X c This is called cross multiplication. Question.1 Sol
5 min read
Chapter 3: Understanding Quadrilaterals
Class 8 NCERT Solutions - Chapter 3 Understanding Quadrilaterals - Exercise 3.1In this section, we explore Chapter 3 of the Class 8 NCERT Mathematics textbook, which focuses on Understanding Quadrilaterals. This chapter introduces students to different types of quadrilaterals, their properties, and their classifications. Exercise 3.1 is designed to help students identify and a
5 min read
Class 8 NCERT Solutions - Chapter 3 Understanding Quadrilaterals - Exercise 3.2Question 1. Find x in the following figures. Solution: As we know , the sum of the measures of the external angles of any polygon is 360°. (a) 125° + 125° + x = 360° ⇒ 250° + x = 360° ⇒ x = 110° (a) 70° + 60° + x + 90° + 90° = 360° ⇒ 310° + x = 360° ⇒ x = 50° Question 2. Find the measure of each ext
3 min read
Class 8 NCERT Solutions- Chapter 3 Understanding Quadrilaterals - Exercise 3.3In this article, we will be going to solve the entire Exercise 3.3 of Chapter 3 of the NCERT textbook for Class 8. A quadrilateral is a polygon with four sides (edges), four vertices (corners), and four angles. It is one of the simplest types of polygons and can take various shapes depending on the
7 min read
Class 8 NCERT Solutions - Chapter 3 Understanding Quadrilaterals - Exercise 3.4In this section, we explore Chapter 3 of the Class 8 NCERT Mathematics textbook, titled "Understanding Quadrilaterals." This chapter introduces students to the different types of quadrilaterals, their properties, and the relationships between their angles and sides. Exercise 3.4 specifically focuses
4 min read
Chapter 4: Practical Geometry
Chapter 5: Data Handling
Chapter 6: Squares and Square Roots
Chapter 7: Cubes and Cube roots
Chapter 8: Comparing Quantities
Class 8 NCERT Solutions- Chapter 8 Comparing Quantities - Exercise 8.1In Chapter 8: Comparing Quantities students learn how to compare different values and express relationships between them in various forms such as ratios, percentages, and fractions. This chapter also introduces key concepts like profit and loss, simple interest, and discount helping students develop
6 min read
Class 8 NCERT Solutions - Chapter 8 Comparing Quantities - Exercise 8.2In Class 8, Chapter 8 of the NCERT Mathematics textbook focuses on the "Comparing Quantities" a crucial concept in understanding proportional relationships and percentage calculations. Exercise 8.2 of this chapter deals with the problems involving simple and compound interest crucial for developing
7 min read
Class 8 NCERT Solutions- Chapter 8 Comparing Quantities - Exercise 8.3In this section, we explore Chapter 8 of the Class 8 NCERT Mathematics textbook, which focuses on Comparing Quantities. This chapter introduces students to concepts like percentages, profit and loss, discounts, and simple interest. Exercise 8.3 specifically deals with problems related to calculating
14 min read
Chapter 9: Algebraic Expressions and Identities
Class 8 NCERT Solutions - Chapter 9 Algebraic Expressions and Identities - Exercise 9.1Question 1. Identify the terms, their coefficients for each of the following expressions.Need to be Known:Expression: An Expression is the addition of terms. Example: 7y + z is an expression made up of two terms 7y and z.Term: Terms itself is a product of factors. Example: 7y + z, here terms are 7y
7 min read
Class 8 NCERT Solutions - Chapter 9 Algebraic Expressions and Identities - Exercise 9.2Question 1. Find the product of the following pairs of monomials.Monomial: Expression containing only one term(i) 4, 7p Ans: (4) * (7p) = 28p (ii) -4p, 7pAns: (-4p) * (7p) = -28p2Explanation: When a negative number is multiplied to a positive number the product becomes negative.(iii) -4p, 7pqAns: (-
3 min read
Class 8 NCERT Solutions - Chapter 9 Algebraic Expressions and Identities - Exercise 9.3Chapter 9 of the Class 8 NCERT Mathematics textbook focuses on the Algebraic Expressions and Identities. Exercise 9.3 is designed to help students practice and understand the application of algebraic identities in simplifying and solving problems. This exercise covers key concepts related to algebra
6 min read
Class 8 NCERT Solutions- Chapter 9 Algebraic Expressions and Identities - Exercise 9.4Problem 1. Multiply the binomials.Solution:When we multiply two binomials, four multiplications must take place. These multiplications can be in any order, although we need to take care of that each of the first two terms is multiplied by each of the second terms. For example: (2x + 3)(3x – 1), if w
8 min read
Class 8 NCERT Solutions - Chapter 9 Algebraic Expressions and Identities - Exercise 9.5 | Set 1In this section, we dive into Chapter 9 of the Class 8 NCERT Mathematics textbook, which deals with Algebraic Expressions and Identities. This chapter introduces students to the concept of algebraic expressions, their components, and various identities that simplify expressions and solve equations.
9 min read
Class 8 NCERT Solutions - Chapter 9 Algebraic Expressions and Identities - Exercise 9.5 | Set 2Chapter 9 Algebraic Expressions and Identities - Exercise 9.5 | Set 1 Question 5. Show that:(i) (3x + 7)2 - 84x = (3x - 7)2Solution:L.H.S. = (3x + 7)2 - 84x= 9x2 + 42x + 49 - 84x= 9x2 - 42x + 49= (3x - 7)2= R.H.S.L.H.S. = R.H.S.(ii) (9p - 5q)2 + 180pq = (9p + 5q)2Solution:LHS = (9p - 5q)2 + 180pq= 8
5 min read