20353

Question

A {{job}} makes a {{object1}} with a height of {{length1}} cm and a width of {{length2}} cm.

She makes another {{object2}} in the same proportion that has a height of {{length3}} cm.

What is the width of this {{object2}}?

Worked Solution
Ratio = {{length1}} : {{length3}}
= {{ratio}}

∴\therefore Width = {{frac}} ×\times {{length2}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

584

Question

A framer makes a picture frame with a height of 30 cm and a width of 20 cm.

She makes another frame in the same proportion that has a height of 45 cm.

What is the width of this frame?

Worked Solution
Ratio = 30 : 45
= 2 : 3

∴\therefore Width = 32\dfrac{3}{2} ×\times 20
= 30 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
job
framer
object1
picture frame
length1
30
length2
20
object2
frame
length3
45
ratio
2 : 3
frac
$\dfrac{3}{2}$
correctAnswer
30 cm

Answers

Is Correct?Answer
✓

30 cm

x

36 cm

x

52 cm

x

68 cm

Variant 1

DifficultyLevel

584

Question

A graphic designer makes a poster with a height of 50 cm and a width of 40 cm.

She makes another poster in the same proportion that has a height of 75 cm.

What is the width of this poster?

Worked Solution
Ratio = 50 : 75
= 2 : 3

∴\therefore Width = 32\dfrac{3}{2} ×\times 40
= 60 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
job
graphic designer
object1
poster
length1
50
length2
40
object2
poster
length3
75
ratio
2 : 3
frac
$\dfrac{3}{2}$
correctAnswer
60 cm

Answers

Is Correct?Answer
✓

60 cm

x

70 cm

x

80 cm

x

90 cm

Variant 2

DifficultyLevel

582

Question

A graphic designer makes a poster with a height of 60 cm and a width of 80 cm.

She makes another poster in the same proportion that has a height of 120 cm.

What is the width of this poster?

Worked Solution
Ratio = 60 : 120
= 1 : 2

∴\therefore Width = 2 ×\times 80
= 160 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
job
graphic designer
object1
poster
length1
60
length2
80
object2
poster
length3
120
ratio
1 : 2
frac
2
correctAnswer
160 cm

Answers

Is Correct?Answer
x

90 cm

x

120 cm

x

150 cm

✓

160 cm

Variant 3

DifficultyLevel

584

Question

A framer makes a picture frame with a height of 12 cm and a width of 10 cm.

She makes another frame in the same proportion that has a height of 18 cm.

What is the width of this frame?

Worked Solution
Ratio = 12 : 18
= 2 : 3

∴\therefore Width = 32\dfrac{3}{2} ×\times 10
= 15 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
job
framer
object1
picture frame
length1
12
length2
10
object2
frame
length3
18
ratio
2 : 3
frac
$\dfrac{3}{2}$
correctAnswer
15 cm

Answers

Is Correct?Answer
✓

15 cm

x

16 cm

x

20 cm

x

24 cm

Variant 4

DifficultyLevel

588

Question

A sketch artist makes a sketch with a height of 8 cm and a width of 10 cm.

She makes another sketch in the same proportion that has a height of 20 cm.

What is the width of this sketch?

Worked Solution
Ratio = 8 : 20
= 2 : 5

∴\therefore Width = 52\dfrac{5}{2} ×\times 10
= 25 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
job
sketch artist
object1
sketch
length1
8
length2
10
object2
sketch
length3
20
ratio
2 : 5
frac
$\dfrac{5}{2}$
correctAnswer
25 cm

Answers

Is Correct?Answer
x

15 cm

x

20 cm

✓

25 cm

x

28 cm