NCERT Solutions Class 8 Maths Chapter 15 Exercise 15.3
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The study of quantity, structure, space, and change is known as Mathematics. The “Science of patterns,” as it has been called, seeks to comprehend and characterize the environment in which humans or other objects exist. The fundamental ideas in Mathematics include those related to numbers, algebra, geometry, and calculus. There are many applications for Mathematics. It is employed in Engineering to produce physical objects as well as in Physics to apprehend the natural world. It is engaged in Biology to understand the composition and operation of cells, as well as in Business to make financial judgments. In the Arts, Mathematics is also used for a variety of tasks, such as making music and designing stunning symmetrical patterns.
Numerous methods of solving analytical problems can be resolved by using Mathematics. Similarly, to illustrate the issue, one approach is to utilise a Mathematical model. The key components of the problem are represented mathematically in a Mathematical model, which is a brief representation of the issue. As an illustration, a formula for distance and time might be used in a Mathematical model to solve the matter of how to travel between two points in the least amount of time. The qualities of shapes and numbers may be utilised to solve issues as well, which is another method in which Mathematics can be used to do so. For instance, the hypotenuse length of a right triangle may be determined using the Pythagorean theorem. Using Algorithms to solve issues is a third method that Mathematics may be used to address. In order to solve a problem, a collection of instructions known as an Algorithm is utilised. Numerous formats, such as a flowchart, a list of equations, or computer code, can be used to write algorithms. There are benefits and drawbacks to each of these approaches to problemsolving with Mathematics. It might take a while to construct a Mathematical model, but it is frequently the most precise approach to tackling a situation. The fastest way to answer a problem is often by using the properties of shapes and numbers; however, this approach might not be as precise as utilising a Mathematical model.
Mathematics has several advantages that students and people around the world can utilise in their lives. Enhanced problemsolving abilities, critical thinking skills, and the capacity for more logical thought are a few of these advantages. Mathematics may also raise students’ exam scores and possibly increase their chances of receiving college scholarships. The daily lives of individuals depend heavily on Mathematics, which is a necessary component of Science, Engineering, and Technology. In contrsast, the NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.3, instructs students on how to solve a mathematical query effectively.
Science has always included Mathematics as a fundamental component. The work of the Greek Mathematician Archimedes, who used Mathematics to determine the area of a circle and the volume of a sphere, is one of the oldest known examples of Mathematics being used in Science. Scientists can understand data patterns and organize and analyse data with the aid of Mathematics. Scientists can use mathematics to make predictions about how systems will behave. For ages, Mathematics has been a tool used by scientists to better comprehend the world they live in. It may be used to represent physical processes, resolve issues, and foretell the outcomes of investigations. The outcomes of experiments can also be predicted using Mathematics. A scientist can be interested in finding out what will happen if they alter the temperature of a system or how long it will take for a reaction to take place. The results of these investigations may be predicted using Mathematics. On the other hand, the study of Physics makes extensive use of Mathematics. For example, Albert Einstein utilised it to create his theory of Relativity. Regardless of an observer’s relative speed, Einstein demonstrated that the rules of Physics apply to all observers equally. People’s knowledge of the cosmos or nature has changed as a result of this effort. For scientists, Mathematics is a crucial tool. Its relevance may be seen in the wonderful discoveries that scientists have made using Mathematics, which demonstrate how crucial it is for scientific study. Class 8 Maths Chapter 15 Exercise 15.3 consists of questions related to the graphical representation of a specific situation.
NCERT Solutions for Class 8 Maths, Chapter 15: Introduction to Graphs (EX 15.3) Exercise 15.3
For Indian students, a variety of study assistance programmes are accessible through the National Council of Educational Research and Training (NCERT) of India. The NCERT, a department of the Indian government, is in charge of creating textbooks and school curricula. Its main office is in New Delhi, where it was founded in 1961. NCERT has launched certain solutions for their textbooks that help students better understand the subjects. The solutions similar to NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.3, may be used by students to grasp the ideas presented in the NCERT textbooks and to help them study for their examinations. Students, professors, and educational institutions utilise them as reference materials in classrooms throughout the nation. Exercises and problems from the NCERT textbooks that have been cleared up may be found in the NCERT Solutions, which are prepared by subjectmatter experts. On the Extramarks’ website, students may obtain a downloadable version of the NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.3, in document format.
The adoption of NCERT Solutions offers a number of benefits. One of the key benefits is the possibility for students to get help with their coursework. If students are having difficulties grasping a subject, they must go through the solutions. As a consequence, they could pick up the concept and comprehend it entirely. NCERT Solutions can also help students prepare for exams, which is an added benefit of using them. Students who are studying for the Mathematics exam might utilise the practice question answers given in the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3. They might be able to know about the questions and choose the appropriate course of action as an outcome. Last but not least, applying NCERT Solutions may assist students in achieving higher academic standards. If students are experiencing problems with the questions, using the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 could help them do better on the test. This is because students will be able to study questions and will get more knowledge about the subject. Extramarks assisted NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 may be of great help while attempting to have a hold on the concepts taught in NCERT textbooks. They also provide a solid basis for standardized exam preparation. The Solutions should be utilised as a reference alongside the books. The Class 8 Maths Exercise 15.3 Solution may be very useful for students who are studying in Class 8, as they provide extensive reasoning for each of the questions that are given in the textbook.
NCERT Solutions for Class 8 Maths, Chapter 15: Introduction to Graphs
By using the NCERT Class 8 Maths Chapter 15 Exercise 15.3 solutions, students may obtain a thorough and remarkable understanding of the concepts and principles included in the Class 8 Mathematics NCERT textbook. Students must browse the website of Extramarks or a mobile application to find the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 and other solutions for diverse classes. Extramarks’ online platform usually includes this format for solutions so that students can save it as a PDF for later use. An indepth analysis of each subject is provided in the solutions, which are rather extensive. As they get ready for tests, students could find the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 to be a helpful study aid. Each and every question is included in these NCERT Solutions, along with explanatory answers. Given that, it includes a substantial number of challenging questions, practise tests, and past years’ papers. Students who use the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 will be better able to understand the material and apply mathematics on a regular basis. The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 must be downloaded as a PDF file by students from Extramarks’ website to be able to receive comprehensive guidance on how to resolve problems involving drawing lines on the graphs and its introduction by utilising a range of points and coordinates.
Exercise 15.3
In accordance with Chapter 15 of Class 8, students will get knowledge about:
 a) Drawing Graphs with the provided values in the question and
 b) Drawing Graphs and verifying whether they are Linear Graphs or not.
The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 advised by Extramarks help students solve the questions or topics that are specified in Exercise 15.3. Moreover, Chapter 15 has other essential themes and concepts covered in the Mathematics subject. The chapter has, in total, three exercises with distinct ideas. These notions and exercises are mentioned below in list form:
1) Different types of Graphs – Bar Graph, Pie Graph, Line Graph, and Histogram
2) Pie Graph (also known as a Circle Graph)
3) A Graph on performance
4) Exercise 15.1
 Temperature of a patient
 Line Graph – Sales
 Forecast temperature
 Drawing Linear Graphs
 TimeTemperature Graph
5) Linear Graphs
 Location of a point
 Coordinates – x and y
6) Exercise 15.2
 Plotting points on the graph sheet and verifying if they lie on line
 Finding the coordinates of the points
7) Some applications
 Independent Variable (control variable)
 The Dependent Variable
8) Exercise 15.3
 Drawing Graphs by using the values provided in the query
 Drawing Graphs and verifying if they are a Linear Graph or not
The Introduction to Graphs, Chapter 15 of Class 8, has NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 that aid students in effortlessly preparing for their Mathematics examination. The NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.3, are emphasised by Extramarks and can be easily found on their website or application on the smartphone.
NCERT Solutions for Class 8 Maths Chapter 15: Introduction to Graphs Exercise 15.3
When it comes to comprehending the topics given in the curriculum, NCERT Solutions, such as those NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3, may be extremely helpful. Due to their clarity and directness, the responses may be used by students to assist them with any challenging questions they may have regarding a certain subject. Extramarks suggest that students study from the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3, which may also be used as a source for additional study and to help students in prepare for quizzes and tests. Extramarks’ website and application supply NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 which clearly indicates that they will aid students in getting ready for their examinations. Students who have access to the detailed answers to the questions in the NCERT textbooks may get an intense comprehension of the ideas covered in the course material. Additionally, students may strengthen their analytical abilities and deepen their conceptual understanding by practising the problems from NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3.
NCERT Solutions for Class 8
Unquestionably, NCERT Solutions may support students in learning more quickly and comfortably. On the Extramarks’ online platform, students can explore the NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.3, which provides short and simple steps for complex Mathematical matters and can help students grasp concepts they may be having problems with. When utilising NCERT Solutions, there are a few things to keep in mind. Students should ensure that they are using the most recent version of the solution set. A version that is out of date could not be accurate since NCERT refreshes its solutions annually. Furthermore, students need to be aware of the kinds of questions that will be on the test.
There are several original ways to explain Mathematics questions to make them more suitable for students. For students to properly study and prepare for their examinations, they must use the NCERT Solutions, which include the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 that are suggested by Extramarks on their website. Students need the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 because they assist them in getting top test grades, which is crucial for academic success. Thus, the information given to students on the subjects covered in the NCERT textbooks is accurate and exact. The practise questions and solutions included in the NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.3, can be used by students as extra exam preparation materials.
Q.1 Draw the graphs for the following tables of values, with suitable scales on the axes.
(a) Cost of apples
Number of apples  1  2  3  4  5 
Cost  5  10  15  20  25 
(b) Distance travelled by a car
Time (in hours)  6a.m.  7 a.m.  8 a.m.  9 a.m. 
Distances (in km)  40  80  120  160 
 How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?
 What was the time when the car had covered a distance of 100 km since it’s start?
(c) Interest on deposits for a year.
Number of apples  1  2  3  4  5 
Cost  5  10  15  20  25 
 Does the graph pass through the origin?
 Use the graph to find the interest on ₹ 2500 for a year.
 To get an interest of ₹ 280 per year, how much money should be deposited?
Ans
(a)
Number of apples  1  2  3  4  5 
Cost  5  10  15  20  25 
Scale:
Xaxis, 1 unit = 10 apples
Yaxis, 1 unit = Rs 10
A graph of the given data is as follows.
(b)
Time (in hours)  6a.m.  7 a.m.  8 a.m.  9 a.m. 
Distances (in km)  40  80  120  160 
Scale:
Xaxis, 2 units = 1 hour
Yaxis, 2 units = 40 km
A graph of the given data is as follows.
 The car covered a distance of 20 km during the period 7:30 a.m. to 8 a.m.
 The car covered a distance of 100 km since its start at 7:30 a.m.
(c)
Deposit (in Rs)  1000  2000  3000  4000  5000 
Simple Interest (in Rs)  80  160  240  320  400 
 Yes, the graph passes through the origin.
 The interest on Rs 2500 for a year is Rs 200.
 To get an interest of Rs 280 per year, Rs 3500 should be deposited.
Q.2 Draw a graph for the following.
(i)
Side of square  2  3  3.5  5  6 
Perimeter  8  12  14  20  24 
Is it a linear graph?
(ii)
Side of square (in cm)  2  3  3.5  5  6 
Area (in cm^{2})  4  9  16  25  36 
Is it a linear graph?
Ans
(i)
Side of square  2  3  3.5  5  6 
Perimeter  8  12  14  20  24 
Scale:
X axis: 1 unit = 5 cm
Y axis: 1 unit = 5 cm
It is a linear graph.
(ii)
Side of square (in cm)  2  3  3.5  5  6 
Area (in cm^{2})  4  9  16  25  36 
Scale:
X axis: 1 unit = 1 cm
Y axis: 1 unit = 5 cm^{2}
It is not a linear graph.
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FAQs (Frequently Asked Questions)
1. What websites are available for students to get the most recent Class 8 Mathematics curriculum?
Students who log in and read the curriculum on Extramarks website can get the most updated syllabus for Class 10 Mathematics. The NCERT Solutions for Class 8 Maths Exercise 15.3 are available on the websites and mobile applications of Extramarks, and students may be advised to utilize them. It is evident that studying these NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 can help students get better at quickly solving Mathematical problems as they are reviewed by subject professionals. With the aid of the most modern curriculum, students may learn about a variety of Mathematics topics. Students should refer to the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3, which is suggested by the website of Extramarks. These solutions cover the CBSE Mathematics curriculum, as well as sample problems and past years’ papers. Students may strategically manage their study time and make sure they are wellprepared for their exams by using resources like those proposed by Extramarks.
2. Are the solutions provided in the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 correct and trustworthy? Can students depend on these solutions when studying for their examinations?
Yes, the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 have been verified by qualified Mathematics scholars and are as a result incredibly accurate and reliable. Online resources are provided for students to solve all the intext questions by looking into the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3. As Class 8 students tackle the questions in Chapter 15 of the NCERT Mathematics Textbook, they may benefit from the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 by easing the difficulties and complications they face. Students may improve their chances of passing their exams and receiving excellent marks by studying these Extramarks offered NCERT Solutions.