Pie Charts - Exercise 24B | Mathematics (Maths) Class 8 PDF Download

 Page 1


Question:11
Tick
? the correct answer:
A man's monthly salary is Rs 2400 and his monthly expenses on travel are Rs 250. The central angle of the sector representing travel expenses in the pie chart would be
a
30°
b
37
1
2
°
c
45°
d
60°
Solution:
b
37
1
2
°
Central angle of the sector representing travel expenses =
value of expenses on travel
monthly income
×360 °
                                                              =
250
2400
×360 ° = 37
1
2
°
Question:12
Tick
? the correct answer:
If 35% of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be
a
108°
b
115°
c
126°
d
135°
Solution:
c
126°
Central angle of the sector representing the sikh community =
value (in %) of the sikh community
100
×360 °
                                                                    =
35
100
×360 ° = 126°
Question:13
Tick
? the correct answer:
If in the pie chart representing the number of students opting for different streams of study out of a total strength of 1650 students, the central angle of the sector representing arts
students is 48° then what is the number of students who opted for arts stream?
a
220
b
240
c
275
d
320
Solution:
a
220
Let the required number of students be x. Then we have:
x
1650
×360 = 48 ?
360 x
1650
= 48 ? x = 48 ×
1650
360
? x = 220Hence, the number of students who opted for arts stream is 220.
Question:14
Tick
? the correct answer:
In the pie chart representing the percentages of students having interest in reading various kinds of books, the central angle of the sector representing students reading novels is 81°.
What is the percentage of students interested in reading novels?
a
15%
b
18%
c
22
1
2
%
d
27
1
2
%
Solution:
c
22
1
2
%
( )
( )
( )
( )
( ) ( )
Page 2


Question:11
Tick
? the correct answer:
A man's monthly salary is Rs 2400 and his monthly expenses on travel are Rs 250. The central angle of the sector representing travel expenses in the pie chart would be
a
30°
b
37
1
2
°
c
45°
d
60°
Solution:
b
37
1
2
°
Central angle of the sector representing travel expenses =
value of expenses on travel
monthly income
×360 °
                                                              =
250
2400
×360 ° = 37
1
2
°
Question:12
Tick
? the correct answer:
If 35% of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be
a
108°
b
115°
c
126°
d
135°
Solution:
c
126°
Central angle of the sector representing the sikh community =
value (in %) of the sikh community
100
×360 °
                                                                    =
35
100
×360 ° = 126°
Question:13
Tick
? the correct answer:
If in the pie chart representing the number of students opting for different streams of study out of a total strength of 1650 students, the central angle of the sector representing arts
students is 48° then what is the number of students who opted for arts stream?
a
220
b
240
c
275
d
320
Solution:
a
220
Let the required number of students be x. Then we have:
x
1650
×360 = 48 ?
360 x
1650
= 48 ? x = 48 ×
1650
360
? x = 220Hence, the number of students who opted for arts stream is 220.
Question:14
Tick
? the correct answer:
In the pie chart representing the percentages of students having interest in reading various kinds of books, the central angle of the sector representing students reading novels is 81°.
What is the percentage of students interested in reading novels?
a
15%
b
18%
c
22
1
2
%
d
27
1
2
%
Solution:
c
22
1
2
%
( )
( )
( )
( )
( ) ( )
Let the required percentage be x. Then we have:
x
100
×360 = 81 ?
360 x
100
= 81 ? x = 81 ×
100
360
? x =
45
2
? x = 22
1
2
Hence, the percentage of students who are interested in reading novels is
( ) ( )