In our day to day life, we come across graphs and charts to analyze our data. Graph is data which is presented pictorially to get the required information easily. We see graph when we analyze performance of companies, or performance of welfare schemes or social measures, or analyze team performance.

Introduction to Graph chapter is covered best in the NCERT books for class 8 maths book, which offers various examples and exercise to understand different concepts.

NCERT books are recommended course text books for students following Indian curriculum. They have been followed by CBSE and all other major school boards in India and abroad. Almost all of the public and private schools recommend this books to their students.

In this article, we have discussed about the Class 8 maths NCERT exercises for introduction to Graph. We have provided detailed video solutions of NCERT problems for Class 8. Students can look into solved NCERT exercises for class 8 mathematics.

Though graph chapter looks easy, but many students face difficulties in reading the graph with multiple variables. These solved NCERT problems for class 8 will help in clearing the concepts of introduction to Graph chapter, and also make student understand in how to avoid common mistakes in introduction to Graph chapter.

## Class 8 math ncert solution introduction to graph chapter

**Exercise 15.1 solutions**

Q1 – 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? View Answer

Q2 – 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? View Answer

Q3 – 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 the3rd 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 View Answer

Q4 – 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? View Answer

Q5 – Use the tables below to draw linear graphs. (a) The number of days a hill side city received snow in different years.(b) Population (in thousands) of men and women in a village in different years View Answer

Q6 – A courier-person cycles from a town to a neighboring 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? View Answer

Q7 – Can there be a time-temperature graph as follows? Justify your answer View Answer

**Exercise 15.2**

Q1 – Plot the following points on a graph sheet. Verify if they lie on a line(a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)(b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)(c) K(2, 3), L(5, 3), M(5, 5), N(2, 5) View Answer

Q2 – Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis. View Answer

Q3 – Write the coordinates of the vertices of each of these adjoining figures. View Answer

Q4 – State whether True or False. Correct that are false.(i) A point whose x coordinate is zero and y-coordinate is non-zero willlie on the y-axis.(ii) A point whose y coordinate is zero and x-coordinate is 5 will lie ony-axis.(iii) The coordinates of the origin are (0, 0). View Answer

**Exercise 15.3**

Q1 – Draw the graphs for the following tables of values, with suitable scales on the axes. (a) Cost of apples (b) Distance travelled by a car (i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m? (ii) 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.(i) Does the graph pass through the origin? (ii) Use the graph to find the interest on Rs 2500 for a year. (iii) To get an interest of Rs 280 per year, how much money should be deposited? View Answer

Q2 – Draw a graph for the following. Is it a linear graph? View Answer

## End Note

In the article, we have shared solutions for ncert exercises for class 8 maths for introduction to graph chapter. Students can click to respective chapters and refer to the right solution. We advise students to refer to them as clearing their concepts, and matching their solutions. Student should not use them to copy solutions for their homework and instead should try to solve homework on own, as it will impact their learning process.

In case you have any doubts regarding solution, or need further clarification, you can write to us. You can also reach out to us, in case you have doubt in other text books’ problems or school exam papers. We will be glad to assist you in helping with your doubt.

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