30152

Question

A group of students were given a list of 5 {{item1}} and asked to choose their favourite.

The results were recorded and graphed below.


{{image}}


What is the angle at the centre of the piechart for the sector representing students whose favourite {{item2}} is {{item3}}?

Worked Solution

There is 360°\degree in a full rotation.
∴\therefore Angle at centre = {{percentage}} ×\times 360
= {{frac}} ×\times 360
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

586

Question

A group of students were given a list of 5 citrus fruits and asked to choose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the piechart for the sector representing students whose favourite citrus fruit is grapefruit?

Worked Solution

There is 360°\degree in a full rotation.
∴\therefore Angle at centre = 20% ×\times 360
= 15\dfrac{1}{5} ×\times 360
= 72°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
item1
citrus fruits
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q43var1.svg 300 indent3 vpad
item2
citrus fruit
item3
grapefruit
percentage
20%
frac
$\dfrac{1}{5}$
correctAnswer
72$\degree$

Answers

Is Correct?Answer
x

16°\degree

x

20°\degree

x

54°\degree

✓

72°\degree

Variant 1

DifficultyLevel

586

Question

A group of students were given a list of 5 animals and asked to choose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the piechart for the sector representing students whose favourite animal is the kangaroo?

Worked Solution

There is 360°\degree in a full rotation.
∴\therefore Angle at centre = 30% ×\times 360
= 310\dfrac{3}{10} ×\times 360
= 108°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
item1
animals
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q43var2.svg 300 indent3 vpad
item2
animal
item3
the kangaroo
percentage
30%
frac
$\dfrac{3}{10}$
correctAnswer
108$\degree$

Answers

Is Correct?Answer
x

20°\degree

x

30°\degree

x

100°\degree

✓

108°\degree

Variant 2

DifficultyLevel

584

Question

A group of students were given a list of 5 animals and asked to choose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the piechart for the sector representing students whose favourite animal is the fox?

Worked Solution

There is 360°\degree in a full rotation.
∴\therefore Angle at centre = 10% ×\times 360
= 110\dfrac{1}{10} ×\times 360
= 36°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
item1
animals
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q43var3.svg 300 indent3 vpad
item2
animal
item3
the fox
percentage
10%
frac
$\dfrac{1}{10}$
correctAnswer
36$\degree$

Answers

Is Correct?Answer
x

10°\degree

x

15°\degree

x

30°\degree

✓

36°\degree

Variant 3

DifficultyLevel

588

Question

A group of students were given a list of 5 birds and asked to choose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the piechart for the sector representing students whose favourite bird is the Myna?

Worked Solution

There is 360°\degree in a full rotation.
∴\therefore Angle at centre = 5% ×\times 360
= 120\dfrac{1}{20} ×\times 360
= 18°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
item1
birds
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q43var4.svg 300 indent3 vpad
item2
bird
item3
the Myna
percentage
5%
frac
$\dfrac{1}{20}$
correctAnswer
18$\degree$

Answers

Is Correct?Answer
x

5°\degree

x

10°\degree

✓

18°\degree

x

50°\degree

Variant 4

DifficultyLevel

586

Question

A group of students were given a list of 5 birds and asked to choose their favourite.

The results were recorded and graphed below.



What is the angle at the centre of the piechart for the sector representing students whose favourite bird is the seagull?

Worked Solution

There is 360°\degree in a full rotation.
∴\therefore Angle at centre = 20% ×\times 360
= 15\dfrac{1}{5} ×\times 360
= 72°\degree

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
item1
birds
image
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q43var5.svg 300 indent3 vpad
item2
bird
item3
the seagull
percentage
20%
frac
$\dfrac{1}{5}$
correctAnswer
72$\degree$

Answers

Is Correct?Answer
x

10°\degree

x

20°\degree

x

54°\degree

✓

72°\degree