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Worksheets

Scale Factors

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

The blue print of Vanessa’s new home was drawn with a scale factor of 1 foot = 0.33 inch. The actual length of the living room was to measure 12 feet. Determine the length of the living room shown in the blueprint.

a)

.0275 inches

b)

36.36 inches

c)

3.96 inches

d)

12.33 inches

2.

A toy manufacturing company produces die cast model cars of the Volkswagen Beetle using a scale factor of 1 inch = 3.6 feet. If the die cast car is 3.75 inches long, calculate the actual length of the Beetle.

a)

13.5 feet

b)

1.041 feet

c)

.96 feet

d)

7.35 feet

3.

Chloe makes a scale drawing of her school with a scale factor of 1 inch = 20 yards. Find the length of the soccer field depicted in the scale drawing, if the actual length of the field is 100 yards.

a)

2000 inches

b)

2 inches

c)

5 inches

d)

120 inches

4.

Alan uses a map to find the route from his home to the venue of his high school reunion. The scale factor of the map is 1 inch = 27 miles. If the distance between his home and the venue is 2.5 inches on the map, determine the actual distance between the two points.

a)

10.8 miles

b)

67.5 miles

c)

29.5 miles

d)

.1 miles

5.

A theme park in Washington, D.C., has various exhibits on popular monuments. The Washington Monument stands 554.7 feet tall. If the exhibit of the monument was created with a scale factor of 1 inch = 64.5 feet, determine the height of the exhibit.

a)

8.6 inches

b)

619.2 inches

c)

.116 inches

d)

490.2 inches

6.

Isabel built a miniature house with dominoes based on the actual dimensions of her house. She used a scale factor of 1 inch = 1.55 feet and her miniature house measured 16.8 inches in height. Find the original height of the house.

a)

10.83 feet

b)

26.04 feet

c)

18.35 feet

d)

15.25 feet

7.

Daphne, an architect, creates a blue print for a strip mall with a scale factor of 1 foot = 0.8 inch. If the actual width of a parking bay is 8 feet, find its width in the blue print.

a)

10 inches

b)

8.8 inches

c)

6.4 inches

d)

7.2 inches

8.

Camilla designed a festive birthday banner measuring 2 inches on her laptop. She sends a copy of it to a digital printing company which used a scale factor of

1 inch = 4 feet to enlarge the image. Determine the length of the printed banner.

a)

10 feet

b)

6 feet

c)

2 feet

d)

8 feet

9.

Rick used a scale factor of 1 foot = 0.625 inch to draw a picture of his father’s truck. The actual length of the truck was 18.4 feet.

Find the length of the truck in the picture.

a)

11500 feet

b)

19 feet

c)

11.5 feet

d)

12 feet

10.

Beth planned to travel from Battery Park to Times Square. The distance between the two places is 2.48 inches on the map of New York City.

If the scale factor used for the map was 1 mile = 0.4 inch,

find the actual distance between the two tourist attractions.

a)

.992 miles

b)

2.88 miles

c)

2.08 miles

d)

6.2 miles

11.

What is the actual length of an aircraft?

a)

236 feet

b)

2,360 feet

c)

6.7 feet

d)

45.9 feet

12.

Height of Eiffel Tower?

a)

16.6 feet

b)

1063 feet

c)

106 feet

d)

6310 feet

13.

Height of the tree?

a)

45 feet

b)

54 feet

c)

18 inches

d)

12 inches

14.

Length of the seahorse?

a)

2.84 feet

b)

1.17 feet

c)

3 feet

d)

3.2 feet

15.

Height of zebra?

a)

8.62 feet

b)

5.2 feet

c)

4.96 feet

d)

4.5 feet