Students face a drastic change when they enter class 8 th . They are under pressure as the next year would mark the beginning of high school, they need to brush up on old concepts and face numerous new topics. This would be the basic platform to learn some new higher-level concepts. Moreover, it is necessary to gain expertise in this subject to score well in academics and competitive exams. On account of this, the Aakash institute is strictly built to help students achieve their goals, understand the concepts in-depth, and guide the students with very simple steps to achieve their respective career paths. The solutions are designed in a manner that enables better understanding.
On the Aakash website, you can access or find the solutions for the RD Sharma textbook of class 8 th Maths. It supports the students to gain practical knowledge, which can also be used to solve real-life tasks. Mathematics is not only about numbers, equations, computation or algorithms, and it is completely centred on understanding various concepts and their applications in real life. Students would grab the concepts sooner than expected with the help of RD Sharma solutions. The highly trained faculties provide answers after conducting thorough research to provide the easiest versions of the solutions with steps according to the marks allotted for each question.
Aakash Institute tries to design solutions in a manner that helps the students to understand the concepts effectively. The solutions are written based on students' capability, and the solutions are constructed keeping the standard in mind to ensure easy understanding and retention of concepts, which reduces the time taken by the students to grab an idea about the concept. Therefore, the explanations are constructed in a stepwise manner and a straightforward language. These two factors ensure that it is easy for the students to grasp the process and recreate it to solve similar questions in future. The RD Sharma Solutions for Class 8 Maths includes the solutions for all the questions without ignoring the difficult parts. Once the students have solved the questions, they can even tackle other similar problems.
In the solutions for RD Sharma textbook for 8 th -grade maths, the Aakash Institute has tackled every chapter and provided an easy and fast solving procedure for every question. The book contains 27 chapters for grade 8 th, and these chapters are essential in covering all the fundamental concepts expected of a grade 8 student. The book also contains many questions of varying difficulty levels for these chapters.
The students can access the solution without any difficulty as they are available on the official Aakash Website. The Solutions can be obtained free of cost from the website. It is recommended for class 8 th students to go through the chapters in the textbook along with the solved examples. This will provide them with theoretical knowledge and basic exposure to the procedures employed in solving the questions. The next step should be to download the solutions PDF and start solving the practice question given, all the while taking the help of the solutions if you get stuck on any question.
Chapter 1 Rational Numbers
Chapter 2 Powers
Chapter 3 Squares and Square Roots
Chapter 4 Cubes and Cube Roots
Chapter 5 Playing with Numbers
Chapter 6 Algebraic Expressions and Identities
Chapter 7 Factorisations
Chapter 8 Division of Algebraic Expressions
Chapter 9 Linear Equations in One Variable
Chapter 10 Direct and Inverse variations
Chapter 11 Time and Work
Chapter 12 Percentage
Chapter 13 Profits, Loss, Discount, and Value Added Tax (VAT)
Chapter 14 Compound Interest
Chapter 15 Understanding Shapes I (Polygons)
Chapter 16 Understanding Shapes II (Quadrilaterals)
Chapter 17 Understanding Shapes III (Special Types of Quadrilaterals)
Chapter 18 Practical Geometry
Chapter 19 Visualising Shapes
Chapter 20 Mensuration I (Area of a Trapezium and a Polygon)
Chapter 21 Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube)
Chapter 22 Mensuration III (Surface Area and Volume of a Right Circular Cylinder)
Chapter 23 Data Handling I (Classification and Tabulation of Data)
Chapter 24 Data Handling II (Graphical Representation of Data as Histograms)
Chapter 25 Data Handling III (Pictorial Representation of Data as Pie Charts or Circle Graphs)
Chapter 26 Data Handling IV (probability)
Chapter 27 Introduction to Graphs
The first chapter of RD Sharma Class 8 th deals with rational numbers and representing them on a number line. Chapter 1 Rational Numbers helps students identify the numerator and denominator from the given rational number. Further, it focuses on the relationship between integers and fractions. The students will be introduced to the positive and negative of rational numbers combined with their advantages. It primarily concentrates on the operations that can be performed on rational numbers. It deals with the conversion of a fraction to a mixed one. This chapter further discusses the simplification process involved with rational numbers.
This chapter primarily focuses on the law of the integral exponent of rational numbers. It consists of methods to convert rational numbers into an exponential form. Students could find the exponential value and simplify the given integers in the form of an exponent. Chapter 2 Powers also deals with both positive and negative exponents. This chapter concludes with some numerical problems to convert into the standard form.
Chapter 3 Squares and Square Roots deals with the methods to find the square roots of different numbers. It helps the students to determine whether the number is a perfect square or not with the help of its prime factorisation. This chapter also relies on the fact that a number can be multiplied or divided by another number to convert it into a perfect square. It also includes a few patterns based on the square root. Further, the column method and the diagonal method to find the square of a number is discussed.
This chapter is correlated with the previous chapter. In this chapter, students will learn about the cube of a number along with its uses. Chapter 4 Cubes and Cube Roots focuses on finding the cube of a number using the column method. This chapter also deals with the cube root of all the natural numbers and the cubes of the negative and the rational numbers. It further includes finding the cube root of a given number using the cube root table.
This chapter digs deeper to explain the concept of the various numbers in the number system along with its subdivisions. The factors and multiples of numbers that are useful in various methods are also discussed along with their applications. Students can play with numbers by interchanging the digits to get the desired results. The chapter also categorises the numbers based on their properties, rules and operations. Chapter 5 Playing with Numbers also sheds light on the divisibility rule, which gives the students an idea of how to solve some practical problems with the help of the number system. This chapter further introduces a new algorithm known as Cryptarithms.
This chapter is an expansion and review of the topic of Algebraic Expression. It focuses on all the operations like addition, subtraction, and multiplication of algebraic expression, along with a few important notations like the factors and the coefficients. It also deals with the easiest way to multiply two monomials and two binomials. This chapter discusses the addition of like and unlike terms and briefly mentions the various Identities related to algebraic expressions.
The chapter Factorisation starts with the definition of a few important terms like factors and factorisation. Chapter 7 Factorisation deals with finding the factors and the GCF (greatest common factor) of a monomial. It teaches how to find out the factorisation when a binomial or a monomial is a common factor. It also deals with the factorisation of quadratic polynomials in one variable by using the perfect square method.
This chapter teaches students about the polynomial and degree of a polynomial in two variables and various ways of dealing with it. It is widely used in real-life numerical problems. It also includes the way to divide a monomial or a polynomial by a monomial. Finally, it gives a brief note on the long division method and factorisation.
In this chapter, students learn in detail about the linear equations, which have the highest degree of 1and the various methods to deal with them. Chapter 9- Linear Equations in One Variable start with a simple linear equation (i.e.) having variable terms on either side and numbers on the opposite side. Students can learn the transposition method through which these linear equations can be solved. It further explains the cross multiplication method and the operations involved in these equations. It also includes numerous practical problems.
This chapter concentrates on the introduction of variation and the types of variations involved. Further, chapter 10- Direct and Inverse Variations explains that the direct variation is related to commodities that are directly related to each other, and thus, if any change occurs in any one of them, a similar change will be witnessed in the other one as well; similarly, when a change occurs in an inverse variable, the opposite change occurs in the variable related to it. This explained with an apt number of examples for better understanding.
Through this chapter, students learn to solve many real-life problems. This chapter comprises two types of time and work problems, namely the time required to do a piece of work, the work done in a given amount of time. Chapter 11- Time and work also deal with numerical problems related to pipe and cisterns that directly apply in real-life.
This chapter comprises the description of percentages and their various forms. It focuses on their various forms, such as fractions and ratios. The students are introduced to a few conversion techniques, including converting fraction and ratio into percentage and vice versa. This chapter also focuses on finding the percentage of a given number.
This chapter reviews the concepts of profits, loss, S.P, and Cp that were discussed earlier. In addition, chapter 13- Profit, Loss, Discount and Value Added Tax, includes three exercises with problems based on discount and value-added tax thoroughly explained in a stepwise procedure.
This chapter deals with formulas to calculate the amount and compound interest when the required information is given. Chapter 14- Compound Interest helps to compute the interest annually, half-yearly, and quarterly for a given amount. It also consists of the inverse problems based on the compound interest. Further, relevant concepts like population growth are discussed along with depreciation-related problems.
This chapter primarily focuses on polygons and their properties. A polygon is any shape that is made up of more than two straight lines. These figures can have many sides, and one special category of polygons is the circle which has an infinite number of sides. The chapter focuses on a variety of polygons and their specific features. The chapter is based on the questions related to the topic and how the properties associated with the polygons can help solve those types of questions.
The chapter Quadrilateral discusses the various types of quadrilaterals and their properties. Then, the chapter delves into the determination of sides and angles of these quadrilaterals. The order of the vertices and the naming of the quadrilaterals, along with the formulae associated with the figure, are also discussed in the chapter. Furthermore, the shapes are named according to the number of sides, and the interior and exterior angles also play a role in it. Finally, a brief mention of the angle sum property concludes the chapter.
Chapter 17 Special Types of Quadrilaterals is an extended form of the chapter Quadrilaterals. It includes the properties of special category quadrilaterals such as the parallelogram, the rhombus, the kite, the rectangle, the trapezoid, the square, and the isosceles trapezoid. These figures are symmetrical in nature. This chapter also includes a note on the properties of a parallelogram, a rhombus, a rectangle, a trapezium, and a square.
Apart from the theory-based chapters, Chapter 18 Practical Geometry (Construction), consists of the practical applications of geometry concepts. It focuses on the construction of a simple quadrilateral along with the construction of a quadrilateral with various conditions, like when a diagonal and four sides are given, when three sides and two diagonals are given, when three sides and their included angles are given, and when three angles and their included sides are given.
The chapter is based on simple shapes that the students get to see in their lives and those that hold importance in the scientific outlook. The chapter elaborates on shapes such as polyhedra, prisms, and pyramids. The chapter allows the students to visualise these shapes in their minds and get a clear picture of their faces, edges and vertices. The chapter also helps the students to visualise opening the faces of these shapes to break them down into constituent simpler shapes like squares, triangles and rectangles.
This chapter focuses on the methods of finding the area of a trapezium and a polygon. It also consists of a few formulae required for calculating their respective areas. This chapter further includes numerical and word problems for a clear understanding of the concepts.
This chapter deals with the cuboid, cube, and space regions. It consists of a few formulas to calculate the volume of the space region formed by the body and find the cuboid and cube volume. It also focuses on the surface area of a cuboid and cube. These are explained practically by including problems based on the surface area of the walls of a room.
This chapter comprises the definitions of a right circular cylinder and a few important terms of this chapter. It teaches the students the formula to calculate the surface area of a right circular and a hollow cylinder along with their volumes.
The chapter is based on the concepts of arrangement, classification and representation of data. It teaches the students to classify data into grouped and ungrouped categories, arrange it if needed into the grouped category and tabulate it to make representation easy. Data handling ensures performing the required analysis on a given set of data. This chapter includes a note on frequency distribution and the steps for their construction. It also focuses on the way to construct a discrete and grouped frequency distribution.
The chapter Graphical Representation of Data as Histogram entirely focuses on the graphical way to represent a given set of data. First, it explains the most popular way of representing the data (i.e.) Histogram. Further, it teaches the way to draw the histogram for the given set of data.
In this chapter, students will get a complete idea of the concepts related to a pie chart. The entire chapter is divided into three sub-divisions. The first part consists of the definition and advantages of a pie chart over other methods. Further, in the second part, a method to construct the pie chart is explained. Finally, the third part includes solving or reading the required result from the given pie chart.
This chapter comprises the theoretical approach to the probability of an event explained with examples, where elementary event, compound event, and event occurrence are explained. This chapter also focuses on the method to find a favourable elementary event and the negation of events. It also includes the theoretical probability.
The last chapter of the textbook, Chapter 27 Introduction to Graphs, gives a brief idea of the construction of graphs. It consists of explanations of a few basic terms like the Cartesian plane, the origin, the x and y-axis. Further, it explains the method to plot the points according to the question. Thus, it helps students to learn the construction of graphs with easy steps.
Ques 1. Why are RD Sharma solutions for class 8 th Maths important?
There are plenty of resources on the internet that would help students score better, however, the RD Sharma solutions for class 8 th Maths consist of solutions for every question comprehensively. It helps students to solve similar questions in the future. It is worth referring to RD Sharma solutions for class 8, as it contains a complete package of the questions with solutions that provide fast solutions which can be an asset in competitions. Solutions provided by Aakash are based on the latest norms and syllabus followed by CBSE.
Ques 2. Where are the RD Sharma Solutions for Class 8 th Maths available?
The RD Sharma solution for class 8 th maths can be accessed from the Aakash website. The solution is in PDF format. As Aakash is a learner-friendly platform, students can access any chapter without difficulty. Solutions are available for all the subjects of class 8 th . To ensure that the students with weak financial backgrounds also get exposure to the high-grade study material, the Aakash Institute provides these solutions free of cost.