Mathematics is usually a dreaded subject. Most students find it difficult to score. However, if you get the right guidance, scoring 100% in mathematics is not difficult. Class 8 is an important year in Maths as it lays the foundation for more complex topics over the next two years. Hence, it is important for students to focus on the concepts and understand them thoroughly. The topics include Mensuration, Practical Geometry, Understanding Shapes, Data Handling, Factorization, Cube and Cube Roots, etc. This guide will take you through all the topics and offer RD Sharma Class 8 solutions for maths. It will also help you develop a strong understanding of the new concepts introduced in Class 8.
Importance of RD Sharma Solutions for Class 8 Maths
Ravi Dutt Sharma or RD Sharma is a renowned name in mathematics. Over the years, many students have benefited from the solutions in his book. RD Sharma Class 8 solutions ensure that you have an excellent resource to understand any complex concept in maths. With organized information and detailed steps, your maths skills will see great improvement. Further, it will increase your confidence in solving difficult questions too. This guide can make maths fun and interesting and help you score well in your exams.
Chapters under RD Sharma Solutions for Class 8 Maths
- 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: Factorization
- 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: Profit, 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 – II (Special Types of Quadrilaterals)
- Chapter 18: Practical Geometry (Constructions)
- 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)
- Chapter 26: Data Handling – IV (Probability)
- Chapter 27: Introduction to Graphs
RD Sharma Solutions for Class 8 Maths Chapter 1: Rational Numbers
The first chapter on Rational Numbers will introduce you to the basic understanding and properties of ration numbers. You will also learn about addition and subtraction of these numbers. Further, the chapter includes multiplication and division of rational numbers too. By the end of the chapter, you will have a complete understanding of rational numbers.
RD Sharma Solutions for Class 8 Maths Chapter 2: Powers
Chapter 2 is all about topics like the laws of integral exponents and negative integral exponents. It also teaches you about the decimal number system and how to use exponents to express small numbers in the standard form.
RD Sharma Solutions for Class 8 Maths Chapter 3: Squares and Square Roots
As the name suggests, Square and Square Roots will teach you about how to calculate the square and the square root of a number. Further, you will learn about various short-cuts to calculate squares like the column method, diagonal method, and visual method. Also, you will learn various methods to calculate square roots of numbers too.
RD Sharma Solutions for Class 8 Maths Chapter 4: Cube and Cube Roots
Chapter 4 is all about understanding the cubes of numbers and their properties. You will also understand how to calculate the cube of a two-digit number. Further, you will learn about calculating the cube roots of rational numbers, negative integers, etc.
RD Sharma Solutions for Class 8 Maths Chapter 5: Playing with Numbers
Mathematics is all about numbers and if you can play with numbers, then you can become an expert in the subject. In this chapter, you will learn about various ways in which you can play with numbers to manage calculations efficiently.
RD Sharma Solutions for Class 8 Maths Chapter 6: Algebraic Expressions and Identities
In Chapter 6, the topics include addition, subtraction, and multiplication of algebraic expressions. You will also understand the applications of these special identities.
RD Sharma Solutions for Class 8 Maths Chapter 7: Factorization
Chapter 7 will introduce you to the concepts of factors of natural numbers and algebraic expressions, the basic concept of factorization, method of common factors, and various methods of factorizing. Once you finish this chapter, you will have a good understanding of factorization.
RD Sharma Solutions for Class 8 Maths Chapter 8: Division of Algebraic Expressions
In Chapter 6 you understood how to add, subtract, and multiply algebraic expressions. In this chapter, you will learn how to divide them. The chapter covers division of a monomial by another monomial, division of a polynomial by a monomial, and division of a polynomial by a polynomial.
RD Sharma Solutions for Class 8 Maths Chapter 9: Linear Equation in one variable
This chapter deals with equations with linear expressions in one variable only. It includes solving equations that have linear expressions on one side and numbers on the other side and its applications. It also teaches solving equations with variables on both sides and its applications. Further, you will learn how to reduce equations to simpler forms and linear forms.
RD Sharma Solutions for Class 8 Maths Chapter 10: Direct and Inverse variations
In Chapter 10, you will be introduced to a very useful concept in mathematics – direct and inverse proportion. While the concept is simple, you must ensure that you understand it well and learn how to apply it to complex problems.
RD Sharma Solutions for Class 8 Maths Chapter 11: Time and Work
RD Sharma Class 8 Solutions for maths, Chapter 11 deals with problems relating to time and work. For example, 5 boys build a wall in 10 days, how much time will 7 boys take to do the same work? This is an important concept that will help you solve many complex situations using simple mathematics.
RD Sharma Solutions for Class 8 Maths Chapter 12: Percentage
While you have studied the concept of percentage in Class 7, this year, you will look at some more applications of the concept. Percentage calculation has applications in many real-life situations too. You will also learn how to convert a percentage into a fraction or ratio and vice-versa.
RD Sharma Solutions for Class 8 Maths Chapter 13: Profit, Loss, Discount, and Value Added Tax (VAT)
In this chapter, we will use the concepts of profit and loss taught in Class 7 and solve some more problems on them. The problems include calculating profit and loss percentage, calculating discounts, and value-added tax.
RD Sharma Solutions for Class 8 Maths Chapter 14: Compound Interest
You already know about simple interest and how to calculate it. Chapter 14 will introduce you to the amazing concept of compound interest. Did you know that scientist Albert Einstein called Compound Interest the Eight Wonder of the World? You will learn about the concept of compound interest, and how to calculate it during different compounding frequencies.
RD Sharma Solutions for Class 8 Maths Chapter 15: Understanding Shapes I (Polygon)
As the first part of understanding geometrical shapes, Chapter 15 will introduce you to Polygons. You will learn about the different types of polygons, diagonals in a polygon, the angle-sum property of triangles, and the sum of measures of the exterior angles of a polygon.
RD Sharma Solutions for Class 8 Maths Chapter 16: Understanding Shapes II (Quadrilaterals)
RD Sharma Class 8 Solutions for maths, Chapter 11 deals with the second part of understanding shapes. You will learn about quadrilaterals and different types of quadrilaterals.
RD Sharma Solutions for Class 8 Maths Chapter 17: Understanding Shapes II (Special Types of Quadrilaterals)
RD Sharma Class 8 Solutions for maths, Chapter 11 deals with the last part of understanding shapes. You will learn about some special types of quadrilaterals like a parallelogram, rhombus, square, etc.
RD Sharma Solutions for Class 8 Maths Chapter 18: Practical Geometry
In Chapter 18 of RD Sharma Class 8 Solutions for maths, you will learn about how to construct a quadrilateral. There re different ways to do the same. Some variations include constructing a quadrilateral when you have:
- The lengths of all four sides of a quadrilateral
- The lengths of two diagonals and three sides
- Three angles and the length of two adjacent sides
- The length of three sides and two included angles
- Special cases
RD Sharma Solutions for Class 8 Maths Chapter 19: Visualizing Shapes
In class 7 you learned about the concepts of a plane shape and a solid shape. In Chapter 19, you will learn how to visualize a 3-D shape from a plane figure. This includes understanding faces, vertices, and edges too.
RD Sharma Solutions for Class 8 Maths Chapter 20: Mensuration I (Area of a Trapezium and a Polygon)
In your earlier classes, you have learned about the concepts of perimeter and area. In Chapter 20, you will learn how to calculate the area of a trapezium and polygons of different shapes.
RD Sharma Solutions for Class 8 Maths Chapter 21: Mensuration II (Volumes and Surface Areas of a Cuboid and a Cube)
In Chapter 21 of RD Sharma Class 8 Solutions for maths, you will learn about calculating the volumes and surface areas of a cuboid and a cube. You will also understand the practical applications of this concept.
RD Sharma Solutions for Class 8 Maths Chapter 22: Mensuration III (Surface Area and Volume of a Right Circular Cylinder)
Chapter 22 is all about circular cylinders and understanding how to calculate their volume and surface areas. You will also use the skills learned in the Chapter regarding the visualization of shapes to solve these problems.
RD Sharma Solutions for Class 8 Maths Chapter 23: Data Handling I (Classification and Tabulation of Data)
Data is nothing but information. However, to use this information efficiently, you must classify and tabulate it. This chapter is all about organizing data, grouping it, and calculating the frequency distribution of the data.
RD Sharma Solutions for Class 8 Maths Chapter 24: Data Handling II (Graphical Representation of Data as a Histogram)
If you have ungrouped data along with its frequency distribution, then you can represent the data graphically using a bar graph. Chapter 24 will teach you how to do this using Histograms – a simple graphical display of data using bars of different heights.
RD Sharma Solutions for Class 8 Maths Chapter 25: Data Handling III (Pictorial Representation of Data as Pie Charts or Circle Graphs)
Apart from histograms, you can also represent data graphically using circle graphs or pie charts/pie diagrams. You will learn how to draw these charts and diagrams and also how to read one to extract data.
RD Sharma Solutions for Class 8 Maths Chapter 26: Data Handling IV (Probability)
RD Sharma Class 8 Solutions for maths, Chapter 26 deals with chance and probability. You will learn about equally likely outcomes, linking chances to probabilities, outcomes as events, and probability in real life.
RD Sharma Solutions for Class 8 Maths Chapter 27: Introduction to Graphs
The last chapter of RD Sharma Class 8 solutions for maths will introduce you to the world of graphs. You will learn how to understand and read a bar graph, pie graph or circle graph, histogram, and a line graph. You will also learn about linear graphs, coordinates, and applications of graphs.
Solved Questions from RD Sharma Solutions for Class 8 Maths
Question 1: Find the length of the longest rod that can be placed in a room 12 meters long, 9 meters broad and 8 meters high.
The length of the longest rod in a room = the length of the diagonal of the room
= Square Root of (122 + 92 + 82)
= Square Root of (144 + 81 + 64)
= 17 meters.
Question 2: A rectangular piece is 20 m long and 15 m wide. Form its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.
∴ Area of rectangle = l×b = (20×15) =300m2
Also, the area of a quadrant = (θ/360) × πr2
= (90/360) × (22/7) × 3.5 × 3.5
∴ Area of a quadrant = 9.625 m2
⇒ Area of all 4 quadrants = 4×9.625 = 38.5m2
Therefore, area of remaining part = Area of the rectangle – Area of all 4 quadrants
∴ Area of remaining part = 261.5m2
Question 3: The percentage of various categories of workers in a state is given in the following table. Represent the information given in the form of a pie chart.
|Category of workers||Cultivators||Agricultural labors||Industrial Workers||Commercial Workers||Others|
Question 4: A die is thrown. Find the probability of getting: 2 or 4
When a dice is thrown we get the following outcomes
∴ The probability of getting 2 is 1/6 [as there is only one 2]
Also, the probability of getting 4 is 1/6 [since there is only one 4]
However, the probability of getting 2 or 4 = 1/6 + 1/6 = 2/6 = 1/3
FAQs related to RD Sharma Solutions for Class 8 Maths
Q1. My Class 7 maths concepts were very strong. Do I still need RD Sharma Class 8 solutions for maths?
Answer: Yes. If you have strong concepts from your earlier classes, then these solutions will help you build on them and get a perfect score. They will also prepare you for more complex topics ahead.
Q2. What types of questions do the RD Sharma Class 8 solutions for maths cover?
Answer: The Solutions cover questions with varying levels of difficulty. Hence, you will be in a better position to solve any question asked in the examination.
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