AnswersFL-1205040-MJ Grade 7 Mathematics B -GFChanging a Scale

Changing a Scale — Unit test Answers

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1
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Mia’s house and her aunt’s house are 15.4 inches apart on the map. If every 4 inches on the map represents 10 miles, what is the actual distance from Mia’s house to her aunt’s house, to the nearest tenth of a mile?

A
2.6
B
6.2
C
38.5
D
61.6
2
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The figure on the grid is the result of enlarging a rectangle by a scale factor of 1.5.Which graph shows the original rectangle?

Question illustration
A
On a coordinate plane, a rectangle has a length of 18 and width of 4.
Option A
B
On a coordinate plane, a rectangle has a length of 8 and width of 2.
Option B
C
On a coordinate plane, a rectangle has a length of 8 and width of 3.
Option C
D
On a coordinate plane, a rectangle has a length of 12 and width of 3.
Option D
3

A scale factor of 5 is used to enlarge a figure as shown below.What is the area of the smaller figure, in square centimeters?

Question illustration
A
4
B
8
C
20
D
40
4

Kiesha and her classmates wrote proportions for the reduction of a triangle. Which proportions are set up correctly? Select three options.

Question illustration
A
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
Option A
B
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
Option B
C
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
Option C
D
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
Option D
E
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Option E
5

The rectangle below has been reduced by a scale factor. What is the area of the original rectangle?

Question illustration
A
25 cm²
B
75 cm²
C
375 cm²
D
450 cm²
6

Quinn used a scale drawing to build a soccer field near his school. Initially, he wanted the field to be 28 yards long and 17.5 yards wide. He decided to change the length of the field to 36 yards. If the width is to be changed by the same scale factor, what is the new width of the field? Express your answer to the nearest tenth.

A
18.5
B
22.5
C
25.5
D
57.6
7

The scale drawing below shows an enlargement by a scale factor of 2. What is the missing side length in the original trapezoid?

Question illustration
A
4.5
B
9
C
13.5
D
18
8

Below is a scale drawing of a ballroom that Mika is designing.Using the scale 1 in. : 4 m, Mika calculated the length, or the longer side of the ballroom, to be 44 m. She decides to change the scale to 1 in. : 7 m. What is the length of the new ballroom?

Question illustration
A
16 m
B
28 m
C
44 m
D
77 m
9

The rectangle below was enlarged using a scale factor. What is the area of the original rectangle?

Question illustration
A
8 cm²
B
20 cm²
C
25 cm²
D
40 cm²
10

A scale factor of 2 is used to enlarge a figure as shown below.How many square inches is the area of the enlarged figure?

Question illustration
A
27
B
36
C
54
D
72
11

Norma Ann planned a rectangular courtyard, as shown in the scale drawing below.She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Question illustration
A
StartFraction 5 inches over 45 feet EndFraction
Option A
B
StartFraction 40 feet over 5 inches EndFraction
Option B
C
StartFraction 45 feet over 40 feet EndFraction
Option C
D
StartFraction 40 feet over 45 feet EndFraction
Option D
12

Sid was given the following enlargement of a rectangle.Sid calculated the scale factor to be . What error, if any, did Sid make when he calculated the scale factor?

Question illustration
A
Sid found the reciprocal of the scale factor.
B
Sid used the wrong dimensions to calculate the scale factor. He should have gotten as the scale factor.
Option B
C
Sid used the wrong dimensions to calculate the scale factor. He should have gotten as the scale factor.
Option C
D
Sid did not make an error calculating the scale factor. The correct scale factor is .
Option D
13

Shea drew the rectangle reduction. Figures not drawn to scale.What is the perimeter, in millimeters, of the reduced rectangle?

Question illustration
A
8
B
16
C
49.6
D
99.2
14

Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.Which is Abel’s error?

Question illustration
A
Abel should have written the ratio as .
Option A
B
Abel should have written the ratio as .
Option B
C
Abel should have divided both numbers by 6.
D
Abel should have divided both numbers by 4.
15

A scale factor of 2 is used to enlarge a figure as shown below.How many square inches is the area of the enlarged figure?

Question illustration
A
27
B
36
C
54
D
72

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