Line Graphs and Linear Graphs | Mathematics (Maths) Class 8 PDF Download

 Page 1


Question:1
The following table depicts the maximum temperature on the seven days of a particular week. Study the table and draw a line graph for the same.
Day Sun Mon Tues Wed Thurs Fri Sat
Maximum temp.
i n° C
25 28 26 32 29 24 31
Solution:
Question:2
Consider the following input/output table. Draw a line graph for it.
Input 1 2 4 5 7
Output 2 5 11 14 20
Now, use the graph drawn to predict the outputs for the inputs of 3 and 8.
Solution:
From the graph, we can see that outout for the inputs of 3 and 8 are 8 and 23 respectively.
Question:3
The table given below depicts the annual gross profit of a company for a period of 5 years. Study the table and draw a line graph for the same.
Year 2013 2014 2015 2016 2017
Gross profit
i n l a k h s o f R s
17 15.5 11.4 12.1 14.9
Solution:
ans
Page 2


Question:1
The following table depicts the maximum temperature on the seven days of a particular week. Study the table and draw a line graph for the same.
Day Sun Mon Tues Wed Thurs Fri Sat
Maximum temp.
i n° C
25 28 26 32 29 24 31
Solution:
Question:2
Consider the following input/output table. Draw a line graph for it.
Input 1 2 4 5 7
Output 2 5 11 14 20
Now, use the graph drawn to predict the outputs for the inputs of 3 and 8.
Solution:
From the graph, we can see that outout for the inputs of 3 and 8 are 8 and 23 respectively.
Question:3
The table given below depicts the annual gross profit of a company for a period of 5 years. Study the table and draw a line graph for the same.
Year 2013 2014 2015 2016 2017
Gross profit
i n l a k h s o f R s
17 15.5 11.4 12.1 14.9
Solution:
ans
Question:4
Ajeeta starts off from home at 7 a.m. with her father on a scooter that goes at a uniform speed of 30 km/hr. Her father drops her at her school after half an hour.
She stays in the school till 1.30 p.m. and takes an autorickshaw to return home. The autorickshaw has a uniform speed of 10 km/hr. Draw the line graph for the
given situation and also determine the distance of Ajeets's school from her home.
Solution:
distance of Ajeets's school from her home is given by
speed = 
distance
time
30 = 
distance
1/2
distance = 15 km
Distance-Time graph is given by
Question:5
The following table shows the percentage of students who dropped out of school after completing high school.
Year 2005 2007 2009 2011 2013 2015 2017
Percentage of
students who
dropped out of
school
6% 5.5% 5% 4.7% 4.9% 4% 4.5%
Study the above table carefully and draw a line graph to depict it.
Solution:
ans
Page 3


Question:1
The following table depicts the maximum temperature on the seven days of a particular week. Study the table and draw a line graph for the same.
Day Sun Mon Tues Wed Thurs Fri Sat
Maximum temp.
i n° C
25 28 26 32 29 24 31
Solution:
Question:2
Consider the following input/output table. Draw a line graph for it.
Input 1 2 4 5 7
Output 2 5 11 14 20
Now, use the graph drawn to predict the outputs for the inputs of 3 and 8.
Solution:
From the graph, we can see that outout for the inputs of 3 and 8 are 8 and 23 respectively.
Question:3
The table given below depicts the annual gross profit of a company for a period of 5 years. Study the table and draw a line graph for the same.
Year 2013 2014 2015 2016 2017
Gross profit
i n l a k h s o f R s
17 15.5 11.4 12.1 14.9
Solution:
ans
Question:4
Ajeeta starts off from home at 7 a.m. with her father on a scooter that goes at a uniform speed of 30 km/hr. Her father drops her at her school after half an hour.
She stays in the school till 1.30 p.m. and takes an autorickshaw to return home. The autorickshaw has a uniform speed of 10 km/hr. Draw the line graph for the
given situation and also determine the distance of Ajeets's school from her home.
Solution:
distance of Ajeets's school from her home is given by
speed = 
distance
time
30 = 
distance
1/2
distance = 15 km
Distance-Time graph is given by
Question:5
The following table shows the percentage of students who dropped out of school after completing high school.
Year 2005 2007 2009 2011 2013 2015 2017
Percentage of
students who
dropped out of
school
6% 5.5% 5% 4.7% 4.9% 4% 4.5%
Study the above table carefully and draw a line graph to depict it.
Solution:
ans
Question:6
The following table shows the percentage of students who dropped out of school after completing high school
Age
i n Y e a r
8 9 10 11 12 13 14 15 16 17 18
Boys 72% 75% 78% 81% 84% 88% 92% 95% 98% 99% 100%
Girls 77% 81% 84% 88% 91% 95% 98% 99% 99.5% 100% 100%
Now, use the graph to answer the following question:
i
  In which year both boys and the girls achieve their maximum height?
ii
Who grows faster at puberty 14yearsto16yearsofage
Solution:
i
Both boys and girls achieve their maximum height in 18th years.
ii
Boys grows faster than girls in puberty.
Question:7
A car is travelling from city P to city Q, which are 350 km apart. The line graph given below describes the distances of the car from the city P at different times.
Page 4


Question:1
The following table depicts the maximum temperature on the seven days of a particular week. Study the table and draw a line graph for the same.
Day Sun Mon Tues Wed Thurs Fri Sat
Maximum temp.
i n° C
25 28 26 32 29 24 31
Solution:
Question:2
Consider the following input/output table. Draw a line graph for it.
Input 1 2 4 5 7
Output 2 5 11 14 20
Now, use the graph drawn to predict the outputs for the inputs of 3 and 8.
Solution:
From the graph, we can see that outout for the inputs of 3 and 8 are 8 and 23 respectively.
Question:3
The table given below depicts the annual gross profit of a company for a period of 5 years. Study the table and draw a line graph for the same.
Year 2013 2014 2015 2016 2017
Gross profit
i n l a k h s o f R s
17 15.5 11.4 12.1 14.9
Solution:
ans
Question:4
Ajeeta starts off from home at 7 a.m. with her father on a scooter that goes at a uniform speed of 30 km/hr. Her father drops her at her school after half an hour.
She stays in the school till 1.30 p.m. and takes an autorickshaw to return home. The autorickshaw has a uniform speed of 10 km/hr. Draw the line graph for the
given situation and also determine the distance of Ajeets's school from her home.
Solution:
distance of Ajeets's school from her home is given by
speed = 
distance
time
30 = 
distance
1/2
distance = 15 km
Distance-Time graph is given by
Question:5
The following table shows the percentage of students who dropped out of school after completing high school.
Year 2005 2007 2009 2011 2013 2015 2017
Percentage of
students who
dropped out of
school
6% 5.5% 5% 4.7% 4.9% 4% 4.5%
Study the above table carefully and draw a line graph to depict it.
Solution:
ans
Question:6
The following table shows the percentage of students who dropped out of school after completing high school
Age
i n Y e a r
8 9 10 11 12 13 14 15 16 17 18
Boys 72% 75% 78% 81% 84% 88% 92% 95% 98% 99% 100%
Girls 77% 81% 84% 88% 91% 95% 98% 99% 99.5% 100% 100%
Now, use the graph to answer the following question:
i
  In which year both boys and the girls achieve their maximum height?
ii
Who grows faster at puberty 14yearsto16yearsofage
Solution:
i
Both boys and girls achieve their maximum height in 18th years.
ii
Boys grows faster than girls in puberty.
Question:7
A car is travelling from city P to city Q, which are 350 km apart. The line graph given below describes the distances of the car from the city P at different times.
Study the above graph and answer the questions given below:
i
     What information is given on the two axes?
ii
    From where and when did the car begin its journey?
iii
   How far dis the car go in the first hour?
iv
   How far did the car go during a
the 2nd hour and b
the 3rd hour?
v
    Was the speed same during first three hours? How do you know it?
vi
   Did the car stop for some during at any place? Justify your answer.
vii
  When did the car reach city Q?
Solution:
i
The x-axis shows the time y-axis shows the distance of the car from city P.
ii
The car begins its journey from city P at 8:00 a.m.
iii
The car covers 50km in first hour.
iv
The car covers
       a
100 km in second hour.
       b
50km in third hour.
v
No, because the distance covered per hour is not uniform.
vi
  Yes, the car stopped during the interval 11 a.m. to 12 a.m. ,as indicated by horizontal line segment during this           period.
vii
At 2 p.m ,the car reached at the city Q.
Question:8
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distances from the town at different times are shown
by the given graph.
Page 5


Question:1
The following table depicts the maximum temperature on the seven days of a particular week. Study the table and draw a line graph for the same.
Day Sun Mon Tues Wed Thurs Fri Sat
Maximum temp.
i n° C
25 28 26 32 29 24 31
Solution:
Question:2
Consider the following input/output table. Draw a line graph for it.
Input 1 2 4 5 7
Output 2 5 11 14 20
Now, use the graph drawn to predict the outputs for the inputs of 3 and 8.
Solution:
From the graph, we can see that outout for the inputs of 3 and 8 are 8 and 23 respectively.
Question:3
The table given below depicts the annual gross profit of a company for a period of 5 years. Study the table and draw a line graph for the same.
Year 2013 2014 2015 2016 2017
Gross profit
i n l a k h s o f R s
17 15.5 11.4 12.1 14.9
Solution:
ans
Question:4
Ajeeta starts off from home at 7 a.m. with her father on a scooter that goes at a uniform speed of 30 km/hr. Her father drops her at her school after half an hour.
She stays in the school till 1.30 p.m. and takes an autorickshaw to return home. The autorickshaw has a uniform speed of 10 km/hr. Draw the line graph for the
given situation and also determine the distance of Ajeets's school from her home.
Solution:
distance of Ajeets's school from her home is given by
speed = 
distance
time
30 = 
distance
1/2
distance = 15 km
Distance-Time graph is given by
Question:5
The following table shows the percentage of students who dropped out of school after completing high school.
Year 2005 2007 2009 2011 2013 2015 2017
Percentage of
students who
dropped out of
school
6% 5.5% 5% 4.7% 4.9% 4% 4.5%
Study the above table carefully and draw a line graph to depict it.
Solution:
ans
Question:6
The following table shows the percentage of students who dropped out of school after completing high school
Age
i n Y e a r
8 9 10 11 12 13 14 15 16 17 18
Boys 72% 75% 78% 81% 84% 88% 92% 95% 98% 99% 100%
Girls 77% 81% 84% 88% 91% 95% 98% 99% 99.5% 100% 100%
Now, use the graph to answer the following question:
i
  In which year both boys and the girls achieve their maximum height?
ii
Who grows faster at puberty 14yearsto16yearsofage
Solution:
i
Both boys and girls achieve their maximum height in 18th years.
ii
Boys grows faster than girls in puberty.
Question:7
A car is travelling from city P to city Q, which are 350 km apart. The line graph given below describes the distances of the car from the city P at different times.
Study the above graph and answer the questions given below:
i
     What information is given on the two axes?
ii
    From where and when did the car begin its journey?
iii
   How far dis the car go in the first hour?
iv
   How far did the car go during a
the 2nd hour and b
the 3rd hour?
v
    Was the speed same during first three hours? How do you know it?
vi
   Did the car stop for some during at any place? Justify your answer.
vii
  When did the car reach city Q?
Solution:
i
The x-axis shows the time y-axis shows the distance of the car from city P.
ii
The car begins its journey from city P at 8:00 a.m.
iii
The car covers 50km in first hour.
iv
The car covers
       a
100 km in second hour.
       b
50km in third hour.
v
No, because the distance covered per hour is not uniform.
vi
  Yes, the car stopped during the interval 11 a.m. to 12 a.m. ,as indicated by horizontal line segment during this           period.
vii
At 2 p.m ,the car reached at the city Q.
Question:8
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distances from the town at different times are shown
by the given graph.
Study the above graph carefully and answer the questions given below:
i
     What is the scale taken for the time-axis?
ii
    How much time did the person take for the travel?
iii
   How far is the place of the merchant from the town?
iv
   Did the person stop on his way? Explain.
v
    During which period did the ride fastest?
Solution:
i
The scale taken at time-axis is 1 unit = 15 minutes.
ii
The person travels for 3 hours 30 minutes.
iii
The place of merchant is 22 km from the town.
iv
Yes, the person stopped from 10 a.m. to 11 a.m. as indicated by the horizonatal line in the graph.
v
He ride fastest during 8 a.m. to 9 a.m.
Question:9
A man started his journey on his car from location a and came back. The graph given below shows his position at different times during the whole journey.
Study the above graph carefully and answer the questions given below:
i
     At what time did he start and end his journey?