Class 8 of a student's life plays a significant role in their academics. This is the time when they start getting stressed about their future. This class helps in building a strong base of mathematics for higher classes that lead students to a successful future. Many students dislike mathematics because they find it very difficult to understand so this is why Akash provides the learners with solutions and a detailed explanation of all the concepts and formulas which offers excellent help to students in understanding the difficulties of mathematics problems. They aim to strengthen the base of students as well as to help them in their exams.

The Maths specialist sets up the Class 8 Mathematics NCERT solutions of Akash to give answers to all the questions and provide the students with step by step explanation. We recommend the students to download the solution from our website, which is provided in a pdf format. The solutions are arranged topic wise for all the chapters in the syllabus. Akash leaves no stone unturned to explain the problems in the best possible way. The language used in the solution is very modest, so no one has any problem in understanding. Mathematics is a subject where practice is the key to understanding it correctly, so the pdf consists of many sample papers and additional questions, so there is nothing else left to practice.

The solutions give a clear picture of the formulas and patterns used to solve the problems. It covers all the methods and also gives some new strategies for problem-solving.

Rational numbers are a fraction with a non zero denominator. Considered as one of the essential chapters in Maths, this chapter deals with the number system, properties, operation, and application of rational numbers. To make this chapter a little easier some tricks and easy methods of doing it are also shown in the solution. The topics and subtopics in chapter 1 Rational number are:

Exercise 1.1- Introduction

Exercise 1.2- Properties of a rational number

Exercise 1.2.1- Closure

Exercise 1.2.2- Commutativity

Exercise 1.2.3- Associativity

Exercise 1.2.4- The role of 0

Exercise 1.2.5- The role of 1

Exercise 1.2.6- Negative of a number

Exercise 1.2.7- Reciprocal

Exercise 1.2.8- Distributivity of multiplication over the addition of rational numbers

Exercise 1.3- Representation of rational numbers in number line

Exercise 1.4- Rational number between two rational number

Linear equation in one variable is an algebraic equation in which each term has an exponent of one and graphing of the equation results in a straight line. It can never be right. It is the beginning level of the linear equation.

The quadrilateral is four-sided geometric shapes. Different shapes, properties, methods and operations are explained in an elementary language with the help of diagrams and figures. It is an exciting chapter.

Topics and sub-topics of this chapter are :

Exercise 3.1- Introduction

Exercise 3.2- polygons

Exercise 3.2.1- Classification of polygons

Exercise 3.2.2- diagonals

Exercise 3.2.3- convex and concave polygons

Exercise 3.2.4- regular and irregular polygons

Exercise 3.2.5- Angle sum. property

Exercise 3.3- Sum of the measure of an Exterior angle of polygons

Exercise 3.4- kinds of quadrilaterals

Exercise 3.4.1- trapezium

Exercise 3.4.2- kite

Exercise 3.4.3- Parallelogram

Exercise 3.4.4- Elements of a parallelogram

Exercise 3.4.5- Angles of a parallelogram

Exercise 3.4.6- Diagonals of a parallelogram

Exercise 3.5- some special parallelogram

Exercise 3.5.1- rhombus

Exercise 3.5.2- rectangle

Exercise 3.5.3- square

This chapter teaches the students to construct Quadrilaterals. It is a polygon which has four edges and four vertices. We will be given some measurements like measurement of included angles, adjacent angles etc. in the problem and according to all the information we have to construct a quadrilateral. We will also learn about how to construct different types of quadrilaterals like rhombus, rectangle, square.

Data handling is a process gathering and recording all the information and presenting it in such a way that could help others like graphs, charts, tables etc. This chapter involves some concepts which can be seen and used in our daily lives. Some topics in this chapter are:

Exercise 5.1- Finding information

Exercise 5.2- organising data

Exercise 5.3- grouping data

Exercise 5.3.1- Bars with a difference

Exercise 5.4 – Circle graph and pie chart

Exercise 5.4.1- Drawing pie charts

Exercise 5.5- Chance and probability

Exercise 5.5.1- getting a result

Exercise 5.5.2- Equally like outcomes

Exercise 5.5.3- linking chances to probability

Exercise 5.5.4- outcomes as events

Exercise 5.5.5- Chances and probability related to life

This is a very lengthy chapter. The topics in this chapter are an introduction to square and square roots, property of the square numbers, deduce squares of integer, Pythagorean triples, etc. This topic teaches how to square a number and find the square root of a number.

In this chapter, you will learn how to find out the cube of a number and also the cube root of a number. This chapter helps to understand the students about cubes. Topic and subtopics of this chapter are :

Exercise 7.1- Introduction

Exercise 7.2- cubes

Exercise 7.2.1- interesting patterns of cubes

Exercise 7.2.2- smallest multiple that is a perfect cube

Exercise 7.3- cube roots

Exercise 7.3.1- cube root by prime factorisation method

Exercise 7.3.2- cube root of a cube number

Comparing quantities means a relation in quantitative terms between two quantities. This deals with several topics like ratios, percentage, interest etc. This chapter includes the following :

Exercise 8.1- ratios and percentage

Exercise 8.2- increasing and decreasing percentage

Exercise 8.3- discounts

Exercise 8.4- profit and loss

Exercise 8.5- sales tax

Exercise 8.6- compound interest

Exercise 8.7- formula for compound interest

Exercise 8.8- applications of compound interest

An algebraic expression is an expression of the variable with our without exponents. The topics and subtopic of this chapter are :

Exercise 9.1- introduction

Exercise 9.2- terms, factor and coefficient

Exercise 9.3- monomials, binomial, trinomials

Exercise 9.4- Like and unlike terms

Exercise 9.5- Addition and subtraction

Exercise 9.6- multiplication

Exercise 9.7- multiplication of monomial with monomial

Exercise 9.7.1- multiplication of 2 monomials

Exercise 9.7.2- multiplication of 3 or more monomials

Exercise 9.8- multiplication of monomial by binomial

Exercise 9.9- multiplication of binomial by trinomial

Exercise 9.9.1- Multiplication of Binomial by binomial

Exercise 9.9.2-Multiplication of binomial by trinomial

Exercise 9.10-Identity

Exercise 9.11- Standard identity

Exercise 9.12- Applying identity

Solid shapes are shapes that have three measurements that are length, breadth, height or depth; therefore, it is also known as a 3-dimensional figure. The main topic and subtopic of this chapter are:

Exercise 10.1- introduction

Exercise 10.2- views of 3d shapes

Exercise 10.3- mapping space

Exercise 10.4- faces, edges and vertices

Mensuration means geometry applied to the computation of length, areas and volume from given dimensions or angles.

Power mans repeated multiplication of the same factor, and exponent means the number of times a number is multiplied by itself. There are many laws of exponents.

This chapter shows how the quantities and amount are related to each other. The topics of this chapter are:

Exercise 13.1- Introduction

Exercise 13.2- Direct proportion

Exercise 13.2- Inverse proportion

This chapter tells us how to express algebraic expression as the product of their factors. It helps us understand more about factors. There are many different factoring techniques.

In this chapter, the student is taught to plot graphs. Graphs represent the statistical relationship between different variables.

This chapter includes introducing numbers in general form, games with number and divisibility tests by some numbers like 2,3,5 and 10.

- The solutions are in a really comprehensive format and the language makes it easy for anyone with basic knowledge of the English language to understand.
- The solutions provided by the Aakash faculty and subject matter experts have been done in a step-by-step fashion ensuring the understanding of the flow of steps along with the method needed to follow for a particular question.
- The steps are supported by necessary reasons which ensure that the student understands the flow from one step to another.
- The solutions PDF covers every question given in the NCERT textbook for the 8th grade.

The NCERT solutions of mathematics for the 8th grade provided by the Aakash institute have the following highlights:

**Q**. Why are NCERT solutions for class 8th essential?

**A**. NCERT solution provides topic wise solutions of the chapters, which helps the student to prepare for their exams and understand each topic nicely. The basic concepts are cleared by providing step by step methods. Mathematics of class 8 is fundamental and challenging, so it is essential to have a solution handy. Akash even provides some new methods and techniques to solve the problems which make the studies easier. There are a lot of Question papers, teaching materials, and online books written by Akash’s various teachers across the country. The whole purpose of teaching is to prepare the students for their exams as well as for their future.

**Q**. How do I find the Akash NCERT solution?

**A**. You can find NCERT Solutions from the Aakash website. The solutions are arranged in chapter wise and topic wise order. It can be found in a pdf format.

**Q**.How to score good marks in the internal assessments of mathematics in the 8th grade?

**A**.The best way to score marks in mathematics would be to practise. Just going through the solutions for the NCERT PDF provided by Aakash won’t help you to the same level. However, if you practise the questions, using the Aakash NCERT solutions, then it will help you drastically to score excellent marks in the internal assessments for class 8th mathematics.

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