30140

Question

A group of students were given a list of five {{element}} and each student chose their favourite.

The results were recorded and graphed below.


{{image}}


What is the angle at the centre of the pie chart that represents the students that chose {{type}} as their favourite?

Worked Solution

360°\degree about a point.
"{{type}}" angle = 360 −- ( {{number}} )
= 360 −- {{total}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

543

Question

A group of students were given a list of five animals and each student chose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the pie chart that represents the students that chose Dog as their favourite?

Worked Solution

360°\degree about a point.
"Dog" angle = 360 −- ( 51 + 89 + 75 + 33 )
= 360 −- 248
= 112°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
element
animals
type
Dog
number
51 + 89 + 75 + 33
total
248
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/var1.svg 300 indent3 vpad
correctAnswer
112$\degree$

Answers

Is Correct?Answer
x

98°\degree

x

102°\degree

✓

112°\degree

x

116°\degree

Variant 1

DifficultyLevel

543

Question

A group of students were given a list of five instruments and each student chose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the pie chart that represents the students that chose Bass as their favourite?

Worked Solution

360°\degree about a point.
"Bass" angle = 360 −- ( 30 + 41 + 90 + 123 )
= 360 −- 284
= 76°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
element
instruments
type
Bass
number
30 + 41 + 90 + 123
total
284
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/var2.svg 300 indent3 vpad
correctAnswer
76$\degree$

Answers

Is Correct?Answer
x

66°\degree

x

70°\degree

✓

76°\degree

x

84°\degree

Variant 2

DifficultyLevel

543

Question

A group of students were given a list of five marsupials and each student chose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the pie chart that represents the students that chose Opossum as their favourite?

Worked Solution

360°\degree about a point.
"Opossum" angle = 360 −- ( 85 + 91 + 49 + 87 )
= 360 −- 312
= 48°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
element
marsupials
type
Opossum
number
85 + 91 + 49 + 87
total
312
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/var3.svg 300 indent3 vpad
correctAnswer
48$\degree$

Answers

Is Correct?Answer
x

38°\degree

✓

48°\degree

x

52°\degree

x

56°\degree

Variant 3

DifficultyLevel

543

Question

A group of students were given a list of five African animals and each student chose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the pie chart that represents the students that chose Giraffe as their favourite?

Worked Solution

360°\degree about a point.
"Giraffe" angle = 360 −- ( 88 + 72 + 29 + 90 )
= 360 −- 279
= 81°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
element
African animals
type
Giraffe
number
88 + 72 + 29 + 90
total
279
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/var4.svg 300 indent3 vpad
correctAnswer
81$\degree$

Answers

Is Correct?Answer
x

63°\degree

x

71°\degree

x

73°\degree

✓

81°\degree

Variant 4

DifficultyLevel

543

Question

A group of students were given a list of five animals and each student chose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the pie chart that represents the students that chose Emu as their favourite?

Worked Solution

360°\degree about a point.
"Emu" angle = 360 −- ( 93 + 77 + 72 + 90 )
= 360 −- 332
= 28°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
element
animals
type
Emu
number
93 + 77 + 72 + 90
total
332
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/var5.svg 300 indent3 vpad
correctAnswer
28$\degree$

Answers

Is Correct?Answer
x

22°\degree

✓

28°\degree

x

34°\degree

x

40°\degree

Tags

  • ch_piechart