NCERT Solutions Class 8 Maths Chapter 15 Exercise 15.1
The books that NCERT produces provide comprehensive knowledge on a range of topics. NCERT provides a variety of instructional tools, not just books. To provide educational and instructional materials to schools, the government founded the National Council of Educational Research and Teaching. Many schools have joined with NCERT in order to give their students educational resources and train new teachers. In order to prepare for a variety of exams, including the Class 10 and Class 12 board exams and various entrance exams, such as JEE, NEET, NDA, CUET, etc. In order to get into the courses and institutions of their choosing, students usually use the NCERT study resources. The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 contains the solutions to the issues in the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. These NCERT solutions are beneficial for students. Since it provides students with the resources they need to solve the questions in the NCERTpublished book, the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 is a helpful tool. Using the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 will help students understand the chapter, the correct answers, and the most effective approaches to answering each question.
for certain students, mathematics can be a very difficult subject. Mathematics may be difficult for them, and they may have problems with particular problems. Mathematics has always piqued students’ interest. All students are learning mathematics for the first time in middle school, which can be scary, like in Class 8, which contains the introduction of graphs, linear equations in one variable, algebra, and geometry. Some students struggle with it, while others relish the difficulties. Students may have a harder time finishing the NCERT exercise since they are unable to initially comprehend the themes. Despite the fact that learning a new talent is never simple, once they have done so, they will feel incredibly fulfilled once their studies are over. A lot of practise is required to study and understand the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 may be helpful.
NCERT Class 8 Maths Solutions, Chapter 15: Introduction to Graphs (EX 15.1) Exercise 15.1
Students can obtain NCERT solutions for Class 8 for every chapter on the Extramarks website and mobile app. Students should use NCERT Solutions when studying because they will help them understand the material. They should remember that working through NCERT books can help them perform better in board examinations as well as on admission tests like JEE and CUET, among others. Students can increase their comprehension of the chapter’s core concepts and how to respond to questions with the aid of NCERT. The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 may be of assistance.
Some students find mathematics to be an extremely challenging subject. They might struggle with mathematics, and they might struggle with some of the chapter’s tasks. Mathematics has always piqued students’ interest. Although algebra, cubes, cube roots, square roots, squares, data handling, and exponents are all included in middle school mathematics for classes like Class 8, Class 7, and Class 6, geometry is new to all pupils and may intimidate them. Some children find it difficult, while others enjoy the challenges Due to their inability to first understand the themes, students may have a harder time completing the NCERT Exercise. Even though learning something new is never easy, they will feel extremely fulfilled after they have mastered it.Understanding and comprehending the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 requires a great deal of practice. The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 can help students comprehend all the chapter’s subjects
Students must carefully go through all the example questions and exercise questions offered in the NCERT in order to comprehend the chapter in its entirety. Whether it’s the entrance exam or the endofterm examination, this is an essential part of exam preparation. Students who are having problems comprehending the approaches and solutions that NCERT has provided through the example questions can use the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 by Extramarks as a study guide. NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 would be extremely useful..
Access NCERT Solutions for Class 8 Chapter 15 – Introduction To Graphs
The objectives of NCERT exercises are to evaluate students’ comprehension of the concepts covered in a specific chapter. NCERT solutions are crucial for board examinations. Use the NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.1 on the Extramarks website and app if they’re having any difficulties learning Chapter 15 of Mathematics. Students who find this chapter difficult usually use the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1, which offers answers to the exercise questions in addition to the several benefits described.
The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 also include an overview or brief synopsis of Class 8 Maths Chapter 15 Exercise 15.1. The chapter contains several important questions and concepts, according to the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1, such as an introduction to graphs, a bar graph, a pie graph (or a circle graph), a histogram, a line graph, linear graphs, the location of a point, coordinates, and applications of graphs. It is natural that students would find it difficult to understand the concepts without help. Students would put in more effort than necessary to study a new chapter, which is already pretty difficult. There are numerous crucial ideas about statistics, data analytics, and data representation in the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. Since they will score higher on the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 issues throughout their board exams, students will benefit from this. The NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.1 are intended to assist students in getting past a current difficulty so they may study and apply new concepts from multiple textbooks. Students had more time to study for exams and take practise tests since they could finish the chapter’s NCERT tasks with the aid of the study guide for NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. They might score better on the final board exams if they adhere to these guidelines in the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1.
Students should feel compelled to seek help when they are stuck. Teachers and peers may be useful while attempting to conquer a hurdle. Students who use the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 can alleviate their concerns. Clarifying their ambiguities will help students with questions find answers. In order to perform well on an exam in the future and be able to solve problems that are similar to or the same as that question, students must be able to understand the methodology used in the question. Students can view the NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.1 for more details. The more quickly students can comprehend a subject and determine its solution, the easier it will be for them to respond to a question during an exam. This is an important consideration for each test that they give. In order to save time both before and during the exam, students must complete the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. Whatever they need, the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 may be of assistance.
NCERT for Class 8 Maths Solutions, Chapter 15: Introduction To Graphs, Exercise 15.1
Introduction To Graphs is the title of Chapter 15 in the NCERT Mathematics textbook for Class 8. The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 will provide an overview of the chapter. Following a brief introduction, the following list of concepts makes up this chapter: a bar graph, a pie graph (or a circle graph), a histogram, a line graph, linear graphs, the location of a point, coordinates, and applications of graphs. It serves as the foundation for NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. As a result, understanding the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 is critical for studentsr to perform well in tests.
The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 can be used by students to practise the NCERT exercises and understand the questions. They will be better able to respond to questions on tests and in other books as a result. Students should use the Extramarks study resources and NCERT solutions available on their website and app. Along with other study resources and tools, students may find the NCERT Solutions for Class 8 Maths, Chapter 15, Exercise 15.1 on the Extramarks app and website. The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1will be extremely beneficial to students.
The NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 are provided for those who struggle to respond to any queries. With the help of the Extramarks’ solutions, they will be able to fully appreciate the solution to each question and choose the appropriate response. All of the correct answers to the Class 8 Maths Exercise 15.1 questions can be found in the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. This will help students’ academic performance and study habits in mathematics to a significant extent. They’ll be able to strengthen their areas of weakness with the aid of the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1.
By using the precise answers and explanations offered in the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1, students can more fully comprehend the ideas in Exercise 15.2. for the purpose of selecting an appropriate response to a range of questions, students must completely comprehend the material covered in Exercise 15.1. They can make use of this while solving issues where the query merely provides sparse information. Understanding the various stages could be helpful for students. As a result, students must take in and remember this knowledge if they want to perform well on tests. If students need help, they could go to the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. Reading through the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 can help students find the answers to any questions they may have about Exercise 15.1. Exercise 15.1 concepts are essential for students’ board and entrance exams. As a result, since doing so might boost academic performance, it is vital for students to understand how specific questions should be answered. Students must use Extramarks to help them if necessary. They could refer to the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 for help with their exam. In order to increase their performance on board exams or yearend exams, students should study the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1.
As the name suggests, this chapter has students understanding graphical representation of data. It introduces to them various types of graphs like a bar graph, a pie graph, a histogram, a line graph and their applications. The teacher teaches them about the graph sheet, how to draw a graph properly and the various terms used for graphs like coordinates, variables, dependent or independent variable, xcoordinate, ycoordinate, cartesian plane, etc. They will help students solve exercises and better understand the concept as a whole. It will help them advance questions in later exercises in chapters and apply these methods to solve various types of questions and to get good grades in their exams.
NCERT Solutions for Class 8
Extramarks offers study materials as part of its academic support services for the CBSE, ICSE, and many state boards. for instance, Extramarks provides NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1 in both Hindi and English, as well as additional study tools. It helps many children from all around the nation learn and perform better. Additionally, NCERT solutions, study guides, and other resources are available on Extramarks for a variety of classes and subject areas, including the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. for the purpose of assisting students with their academic preparation and journey, Extramarks offers materials.
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They could be able to get the grade they want if they use the Extramarks’ study materials, like the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1, which are available to all classes. Additionally, there are study guides available for the bulk of classes and their topics. The NCERT solutions and other pertinent study resources, such as the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1, give comprehensive answers to the questions asked by students. The Extramarks website and mobile app also contain answers to possible questions from other chapters. In order to receive feedback on their performance, students may also participate in the exam series. Students can use the app to access the Extramarks’ question banks in addition to the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1. For a variety of board exams and competitive exams, including the NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.1, Extramarks offers guidance and study tools.
Q.1 The following graph shows the temperature of a patient in a hospital, recorded every hour.
(a) What was the patient’s temperature at 1 p.m.?
(b) When was the patient’s temperature 38.5° C?
(c) The patient’s temperature was the same two times during the period given. What were these two times?
(d) What was the temperature at 1.30 p.m.? How did you arrive at your answer?
(e) During which periods did the patients’ temperature showed an upward trend?
Ans
(a) The patient’s temperature was 36.5°C at 1 p.m.
(b) At 12 noon, the patient’s temperature was 38.5°C.
(c) The two times when the patient’s temperature was same, were 1 p.m. and 2 p.m.
(d) The temperature at 1:30 p.m. is 36.5°C.
(e) The patient’s temperature showed an upward trend during the following periods: 9 a.m. to 10 a.m., 10 a.m. to 11 a.m., 2 p.m. to 3 p.m.
Q.2 The following line graph shows the yearly sales figures for a manufacturing company.
(a) What were the sales in (i) 2002 (ii) 2006?
(b) What were the sales in (i) 2003 (ii) 2005?
(c) Compute the difference between the sales in 2002 and 2006.
(d) In which year was there the greatest difference between the sales as compared to its previous year?
Ans
(a)
(i) The sales in 2002 were ₹ 4 crores.
(ii) The sales in 2006 were ₹ 8 crores.
(b)
(i) The sales in 2003 were ₹ 7 crores.
(ii) The sales in 2005 were ₹ 10 crores.
(c)
(i) The difference between the sales in 2002 and 2006 = ₹ (8 − 4) crores = ₹ 4 crores
(d) For finding the greatest difference between the sales as compared to its previous year, we have to find compare all the years.
Therefore, the difference between the sales of the year 2006 and 2005 = ₹ (10 − 8) crores = ₹ 2 crores
Difference between the sales of the year 2005 and 2004 = ₹ (10 − 6) crores = ₹ 4 crores
Difference between the sales of the year 2004 and 2003 = ₹ (7 − 6) crore = ₹ 1 crore
Difference between the sales of the year 2003 and 2002 = ₹ (7 − 4) crores = ₹ 3 crores
Hence, the difference was the maximum in the year 2005 as compared to its previous year 2004.
Q.3 For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.
(a) How high was Plant A after (i) 2 weeks (ii) 3 weeks?
(b) How high was Plant B after (i) 2 weeks (ii) 3 weeks?
(c) How much did Plant A grow during the 3rd week?
(d) How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?
(e) During which week did Plant A grow most?
(f) During which week did Plant B grow least?
(g) Were the two plants of the same height during any week shown here? Specify.
Ans
(a)
(i) The height of plant A was 7 cm after 2 weeks.
(ii) The height of plant A was 9 cm after 3 weeks.
(b)
(i) The height of plant B was 7 cm after 2 weeks.
(ii) The height of plant B was 10 cm after 3 weeks.
(c) The growth of plant A during 3^{rd} week = 9 cm − 7 cm = 2 cm
(d) The growth of plant B from the end of the 2^{nd} week to the end of the 3^{rd} week = 10 cm − 7 cm = 3 cm
(e) The growth of plant A during 1^{st} week = 2 cm − 0 cm = 2 cm
The growth of plant A during 2^{nd} week = 7 cm − 2 cm = 5 cm
The growth of plant A during 3^{rd} week = 9 cm − 7 cm = 2 cm
Therefore, plant A grew the most, i.e. 5 cm, during the 2^{nd} week.
(f) The growth of the plant B during 1^{st} week = 1 cm − 0 cm = 1 cm
The growth of the plant B during 2^{nd} week = 7 cm − 1 cm = 6 cm
The growth of plant B during 3^{rd} week = 10 cm − 7 cm = 3 cm
Therefore, plant B grew the least, during the 1^{st} week.
(g) The two plants were of the same height during the 2^{nd} week.
Q.4 The following graph shows the temperature forecast and the actual temperature for each day of a week.
(a) On which days was the forecast temperature the same as the actual temperature?
(b) What was the maximum forecast temperature during the week?
(c) What was the minimum actual temperature during the week?
(d) On which day did the actual temperature differ the most from the forecast temperature?
Ans
(a) The forecast temperature was same as the actual temperature on Tuesday, Friday, and Sunday.
(b) The maximum forecast temperature during the week was 35°C.
(c) The minimum actual temperature during the week was 15°C.
(d) The actual temperature differs the most from the forecast temperature on Thursday.
Q.5 Use the tables below to draw linear graphs.
(a) The number of days a hill side city received snow in different years.
Year  2003  2004  2005  2006 
Days  8  10  5  12 
(b) Population (in thousands) of men and women in a village in different years.
Year  2003  2004  2005  2006  2007 
Number of Men  12  12.5  13  13.2  13.5 
Number of Women  11.3  11.9  13  13.6  12.8 
Ans

Year 2003 2004 2005 2006 Days 8 10 5 12 
Year 2003 2004 2005 2006 2007 Number of Men 12 12.5 13 13.2 13.5 Number of Women 11.3 11.9 13 13.6 12.8
Q.6 A courierperson cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.
(a) What is the scale taken for the time axis?
(b) How much time did the person take for the travel?
(c) How far is the place of the merchant from the town?
(d) Did the person stop on his way? Explain.
(e) During which period did he ride fastest?
Ans
(a) Scale taken for the time axis is 4 units = 1 hour
(b)
$\mathrm{The}\mathrm{person}\mathrm{took}3\frac{1}{2}\mathrm{hours}\mathrm{to}\mathrm{travel}.$
(c) The merchant is 22 km far from the town.
(d) Yes, the person stopped on his way from 10 a.m. to 10: 30 a.m. It is clearly shown by the horizontal line in the graph.
(e) From 8 a.m. to 9 a.m., the person travelled the maximum distance. So, the person’s ride was the fastest between 8 a.m. and 9 a.m.
Q.7 Can there be a timetemperature graph as follows? Justify your answer.
Ans
(i) As the temperature can increase with the increase in time, so it can be a time−temperature graph..
(ii) As the temperature can decrease with the decrease in time, so it can be a time−temperature graph.
(iii) Since different temperatures at the same time are not possible, so it cannot be a time−temperature graph.
(iv) As same temperature at different times is possible, so it can be a time−temperature graph.
FAQs (Frequently Asked Questions)
1. How can students improve their performance using the NCERT Solutions For Class 8 Maths Chapter 15 Exercise 15.1?
Students are aware that constant study is required to get ready for any exam. The NCERT Solutions For Class 8 Maths Chapter 15 Exercise 15.1 can help them stay on schedule. Studying and practising will help students make fewer stupid mistakes on exams. Once a subject has been well understood by students via practice, it will be simpler for them to apply it to problems from similar or unrelated topics and chapters. The NCERT Solutions For Class 8 Maths Chapter 15 Exercise 15.1 is a fantastic illustration of this. Students may learn from the NCERT Solutions For Class 8 Maths Chapter 15 Exercise 15.1 how to recognise their mistakes in problemsolving. It’s imperative that kids comprehend how normal it is to make mistakes and that they should instead see them as opportunities for learning. As part of the test preparation process, the chapter will also be reviewed by reading through the NCERT Solutions For Class 8 Maths Chapter 15 Exercise 15.1 once. Even while their initial reaction could be inaccurate, with enough practice, the right formula, and the right technique, they can improve it. Students should put their health first and try to reduce academic stress. The Class 8 Maths Exercise 15.1 Solution can help them. If they take the proper breaks for rest, their study time will be more productive. If they are happy and healthy, students may be more motivated to study for a long period and right up until the test. Therefore, the study materials from Extramarks may be useful for students who are unsure about their academic future.
2. How should students study for exams?
The abovementioned question is the one that students ask the most. Each student is preparing for or studying for an exam. The preparation varies for each exam due to its distinct structure, design, and level of difficulty. Students should be aware that the course material for these exams is largely the same. People might also apply testtaking techniques for each exam they are preparing for. Here are some suggestions that students might use as they study. First, students must start getting ready as soon as it is practical. Students can lessen the stress and strain of lastminute preparation by starting their studies early. It offers students one more opportunity to prepare for the test. If they are pressed for time to fully understand key subjects for the first time, they can perform poorly, worry, and run out of time to study or review before the exam. As a result, their grades may suffer and they may experience problems with their mental and physical health due to the stress of their academic responsibilities. Students should organise their study space as the next stage. If students remember to organise their workspace, they will locate their books, study materials, and other stationery items much more quickly. They won’t have to spend unnecessary time looking for what they need or become frustrated doing so.
They can concentrate better and study longer if there is less stress and a clean workspace. Diagrams and flowcharts are other tools that students can employ. Using flowcharts enhances data organisation and speeds up effective learning. Students can find the most efficient study technique while also saving time. This aids with exam preparation as well. Additionally, students must take regular breaks. Breaks are necessary for students because they let them unwind and reduce the strain of their tough coursework and exams. They must continue to depart on time and take breaks from their constant reading if they want to stay healthy. They’ll feel better as a result, which will motivate them to focus on their studies for hours. Additionally, students require a schedule or timetable. They can organise their time and pay attention better by using a timeline. If students get help to manage their time, they may study for tests, take breaks, and engage in extracurricular activities. Following a schedule will help students feel less anxious on test day. Exam anxiety and fear are common feelings, but students can overcome them by being wellprepared and confident in their knowledge. Additionally, it’s critical for students to eat well. Young adults must eat healthfully if they want to be active, content, and healthy. Students should reward themselves when they perform well on an exam or when they fully understand a concept. These are just a few instances of how promoting students’ selfdiscipline will aid in their motivation and academic success. This may improve the results of their exams.