Hello students and welcome to Class 8! Are you looking for the perfect NCERT Solutions for Class 8 Maths that will take care of all your worries? Are you looking for extra practice material to boost your exam preparation? We have compiled the ideal solutions package for you, complete with original illustrations and extra problem sets at the end of each chapter! Whether you are looking to learn the concepts for the first time or are undergoing last-minute exam preparation, you will these solutions extremely useful! Enjoy!
Let’s study stress-free and ace those exams! Good luck and study hard!
NCERT Solutions for Class 8 Maths (Chapter-Wise)
| Chapter 1 Rational Numbers |
| Chapter 2 Linear Equations in One Variable |
| Chapter 3 Understanding Quadrilaterals |
| Chapter 4 Data Handling |
| Chapter 5 Square and Square Roots |
| Chapter 6 Cube and Cube Roots |
| Chapter 7 Comparing Quantities |
| Chapter 8 Algebraic Expressions and Identities |
| Chapter 9 Mensuration |
| Chapter 10 Exponents and Powers |
| Chapter 11 Direct and Inverse Proportions |
| Chapter 12 Factorization |
| Chapter 13 Introduction to Graphs |
NCERT Solutions for Class 8 Maths – Summary of Each Chapter
Chapter 1 Rational Numbers
In class 8, you will continue your study on rational numbers. You will learn about the properties of rational numbers such as closure, commutativity, associativity, the role of 0, the role of 1, distributivity of multiplication over addition for rational numbers etc. You will be required to solve problems using these properties, so practise hard.
Chapter 2 Linear Equations in One Variable
You will learn new techniques for solving equations such as solving equations with variable on both sides (LHS and RHS), reducing equations to simpler form etc. This chapter is simple enough to master, providing you practise enough problems.
Chapter 3 Understanding Quadrilaterals
This chapter starts with a discussion on concepts related to polygons. For those of you studying polygons for the first time, we advise that you draw out the figures yourselves to boost your understanding. Then the chapter discusses different types of quadrilaterals such as trapezium, kite, parallelogram, rhombus, rectangle, square and their properties. The best way to master this chapter on geometry of quadrilaterals is to practice many different types of problems. This will help train your eye and boost your confidence. Our textbook exercise solutions and extra problem set are an excellent place to start practising.
Chapter 4 Data Handling
In the first half of the chapter, you will encounter pictographs, bar graphs, pie charts as methods of representing data. In the second half, you will be introduced to the concept of chance and probability. The concepts of random experiments, equally likely outcomes and calculating probability of an ‘event’ might seem confusing to beginners. The trick here is to think simply and logically and you will be fine.
Chapter 5 Square and Square Roots
It is important that you understand and memorise the various properties, patterns and problem-solving techniques related to squares and square roots because you will be required to solve problems using them. Do not just memorise the formulae, understand the proofs as well. This chapter will require lots of practice to master, so it is best that you start early. Remember to keep practising the techniques on a regular basis, or you will tend to forget them.
Chapter 6 Cube and Cube Roots
Like the previous chapter, this chapter on Cube and Cube Roots will have a lot of rules and techniques that you will need to master. These are effectively explained in the solved examples and these are at an excellent place to start your practice. Our solutions to the exercise problems and extra problem set will give you additional practise and help clear your concepts. Good luck!
Chapter 7 Comparing Quantities
Chapter 7 covers comparing quantities like ratios, percentages, discounts, and compound interest. It starts with recalling ratios and percentages, then moves to finding discounts and understanding taxes. Next, it explains compound interest, deriving its formula and applying it to real-life scenarios like population growth and depreciation. Overall, it’s about understanding and applying mathematical concepts to compare quantities and solve practical problems.
Chapter 8 Algebraic Expressions and Identities
In this chapter you will learn about addition, subtraction, and multiplication of algebraic expressions. It shows you how to multiply monomials together, how to multiply a monomial by a polynomial and how to multiply a polynomial by another polynomial. Feel free to refer to your Class 7 textbook and revise the basics if you need to, before attempting to master this chapter.
Chapter 9 Mensuration
You will learn techniques for finding area of complex polygons. Moving on to three-dimensional shapes, it covers surface area and volume for solids such as cubes, cuboids, and cylinders. Formulas and examples are provided for calculating area and volume, along with practical comparisons and real-world applications to reinforce understanding.
Chapter 10 Exponents and Powers
Within the chapter titled “Exponents and Powers,” students delve into various concepts, encompassing negative exponents, exponent laws, the application of exponents in standard notation, and the comparison between vast and minuscule numbers. Solving problems using the laws of exponents can be confusing, so it is essential that you get lots of practice.
Chapter 11 Direct and Inverse Proportions
The first half of the chapter deals with direct proportion and the second half of the chapter deals with inverse proportion. You will need to understand the difference between direct and inverse proportions. You will need to recognise which applies to a certain situation to be able to solve problems. This will come with sufficient practice.
Chapter 12 Factorization
In this chapter, we explore factorization and division of algebraic expressions, vital concepts in mathematics. We revisit prime factors for natural numbers and extend this to algebraic expressions, breaking them down into irreducible factors. Various factorization methods, including common factors and regrouping terms, are discussed. Factorisation using identities is another important part of this chapter. Additionally, division of algebraic expressions, from monomials to polynomials, is examined through examples and systematic methods, highlighting the significance of understanding factors in mathematical operations.
Chapter 13 Introduction to Graphs
This chapter shows you how to draw line graphs on graph paper and explains the relation between the dependant variable and independent variable. You will be given data and be required to draw line graphs based on the data. You will also be required to draw conclusions based on the graphs. This chapter can be quite fun once you get the hand of it, so let’s start practising early!
Frequently Asked Questions on NCERT Solutions for Class 8 Math
Our experts have shown you the problem-solving methods step-by-step in a clear and logical manner to help you understand and to help retention. Attractive illustrations have been included wherever necessary, which will help you visualise the concepts better. You can even test your knowledge using the extra problem sets which we have included at the end of each chapter.
Free PDFs of the solutions have been included as a bonus!
Start by thoroughly understanding the concepts presented in the textbook and the solved examples for each chapter. Then make sure you proceed with solving the exercise problems on your own alongside looking at the solutions. This will enable you to test your understanding of the material. You can also practise using the extra problem sets included at the end of each chapter, to test your preparation.
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