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 9.11- 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 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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