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5 Mark Question

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15 questions · self-marked practice — reveal the answer and mark yourself.

Question 15 Marks
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. (in °C)
25
28
26
32
29
24
31
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Question 25 Marks
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.
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Question 35 Marks
The following line graph shows the journey made by two cyclists, cyclist I and cyclist II, one from town B to town A and the other from town A to town B.
Study the above graph carefully and answer the questions given below:
  1. At what time did cyclist II rest? For how long did the cyclist rest?
  2. Was cyclist II cycling faster or slower after the rest?
  3. At what time did the two cyclists meet?
  4. How far had cyclist II travelled when he met cyclist I?
  5. When cyclist II reached town B, how far was cyclist I from town A?
Answer
  1. Cyclist II rest at 8:45 am for 15 min.
  2. Cyclist II was faster after the rest.
  3. The two cyclist met at 9 am.
  4. Cyclist II travelled 10km when he met cyclist I.
  5. Cyclic I was 10km far from town A.
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Question 45 Marks
Study the table given below and draw a line graph for it.
Side of the square (in cm)
2
3
3.5
5
6
Perimeter (in cm)
8
12
14
20
24
Is the graph drawn, a linear graph?
Answer

Yes, we can see that the drawn graph is linear.
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Question 55 Marks
Study the table given below and draw a line graph for it.
Side of the square (in cm)
2
3
4
5
6
Area (in $cm^2$)
4
9
16
25
36
Is the graph drawn, a linear graph?
Answer

No, the drawn graph is not linear.
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Question 65 Marks
The following line graph shows the change in temperature of a block of ice when heated.
Study the above graph carefully and answer the questions given below:
  1. For how many seconds did the ice block have no change in temperature?
  2. For how long was there a change in temperature?
  3. After how many seconds of heating did the temperature become constant at 100°C?
  4. What was the temperature after 25 seconds?
  5. What will be the temperature after 1.5 minutes? Justify your answer.
Answer
  1. The ice block had no change for 20 seconds.
  2. There was a change in the ttemperature for 30 seconds.
  3. After 50 second, the temperture became constant at 100°C.
  4. The temperature after 25 second was 18°C.
  5. The temperature after 1.5 min will be 100°C as it is uniform after 50 seconds.
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Question 75 Marks
Consider the following input/ output table. Draw a line graph for it.
Input
1
2
4
5
7
Output
2
5
11
14
20
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Question 85 Marks
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 (in lakhs of Rs.)
17
15.5
11.4
12.1
14.9
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Question 95 Marks
The following table shows the percentage of students who dropped out of school after completing high school.
Age (in Year)
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:
  1. In which year both boys and the girls achieve their maximum height?
  2. Who grows faster at puberty (14 years to 16 years of age).
Answer

  1. Both boys and girls achieve their maximum height in 18th years.
  2. Boys grows faster than girls in puberty.
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Question 105 Marks
The following table gives the distances travelled by a car at various time-intervals. Study the table and draw a linear graph for the same.
Time
6 a.m.
7 a.m.
8 a.m.
9 a.m.
Distance (in km)
40
80
120
160
From your graph, answer the questions given below:
  1. How much distance did the car cover during the period from 7:30 a.m. to 8 a.m.
  2. What was the time when the car had covered a distance of 100km, since its start?
  3. How much distance had the car covered by 8:30 a.m.?
Answer
  1. The car covers 20km during the period from 7:30 a.m. to 8 a.m.
  2. The car covered 100km at 7:30 a.m.
  3. The car covered 140km by 8:30 a.m.
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Question 115 Marks
Plot a line graph for the variables p and q, where p is four times q, i.e., the equation is p = 4q. Using the graph, find the value of,
  1. p, when q = 6 and
  2. q, when p = 20
Answer
We have p = 4q
  1. When q = 6
Then p = 4 × 4 = 164
  1. When p = 20w
Then, 20 = 4q
5 = q
And the graph of p = 4q is given by
p
1
2
3
4
5
6
q
4
8
12
16
20
24
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Question 125 Marks
Ajeeta starts off from home at 7am with her father on a scooter that goes at a uniform speed of 30km/ hr. Her father drops her at her school after half an hour. She stays in the school till 1:30pm and takes an autorickshaw to return home. The autorickshaw has a uniform speed of 10km/ hr. Draw the line graph for the given situation and also determine the distance of Ajeets's school from her home.
Answer
Distance of Ajeets's school from her home is given by,
$\text{Speed}=\frac{\text{Distansce}}{\text{Times}}$
$30=\frac{\text{Distansce}}{\frac{1}{2}}$
Distance = 15km
Distance-Time graph is given by,
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Question 135 Marks
Plot a line graph for the variables x and y , where y = 2x + 1. Using the graph, find the value of.
  1. y, when x = 5 and
  2. x, when y = 13
Answer
We have the following table for y = 2x + 1
x
0
1
2
3
4
y
1
3
5
7
9
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Question 145 Marks
A bank gives 10% simple interest on deposits by senior citizens. Draw a line graph to illustrate the relation between the sum deposited and the simple interest earned. Find from the graph:
  1. The annual interest obtainable for a investment of Rs.250.
  2. The investment one has to make in order to get an annual simple interest of Rs. 70.
Answer
$\text{Using SI}=\frac{\text{P}\times\text{R}\times\text{T}}{100}$ Where, SI = Simple interest. P = Srincipal. R = Rate of interest. T = Time. We have,
P 500 1000 1500 2000
SI 50 100 150 200
  1. Given sum deposited i.e P = 250, R = 10%, Time = 1 year using formula we have,
$\text{SI}=\frac{250\times10\times1}{100}$
$\text{SI}=\text{Rs. }25$
Hence, the annual interest for an investment of 250 Rs. is 25 rs.
  1. Given annual simple interest = Rs. 70 , R = 10%, T = 1 year using formula we have,
$70=\frac{\text{P}\times10\times1}{100}$
$700=\text{P}$
Hence, he has to invest Rs. 700 in order to get an annual simple interest of Rs. 70
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Question 155 Marks
Sajal can ride a scooter constantly at a speed of 30km/ hr. draw a distance-time graph for this situation.

Use the graph drawn to find:
  1. The time taken by Sajal to ride 75km.
  2. The distance covered by Sajal in $3\frac{1}{2}$ hours.
Answer
We have,
$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$
We have the following table for Distance-Time graph,
Time(hrs)1
1
2
3
4
Distance(km)
30
60
90
120
  1. Given speed = 30km/ hr, distance = 75km.
Using formula we have,

$30=\frac{75}{\text{Time taken}}$

Time taken = 2.5hr

Hence, the time taken by Sajal to ride 75km is 2.5hr.
  1. Given speed = 30km/ hr , time = 312312hr
Using formula we have,

$30=\frac{75}{\frac{7}{2}}$

Distance = 105km.

Hence, the distance covered by Sajal in $3\frac{1}{2}$ hours is 105km.
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