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Scale Drawing/Models Test

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1.
Ms. Jackson is driving from South Bend to Indianapolis. She measures a distance of 4.3 cm between the cities on her Indiana road map. What is the actual distance between the cities if the map scale is 1 cm = 30 miles?
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2.
The scale on a road map is 1 cm = 500 miles. If the distance on the map between New York City and Memphis is 2.2 cm, what is the actual distance between the two cities?
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3.
On a scale drawing, a tree is 6 3/4 inches tall. The scale factor is 1/20. Find the height of the actual tree.
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4.
The scale factor for Maria's dollhouse furniture is 1:8. If the sofa in Maria's dollhouse is 7 1/2 inches long, how long is the actual sofa?
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5.
On a road map, the distance between 2 cities is 2.5 inches. The map scale is 1 inch = 30 miles. What is the actual distance between the cities?
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6.
The scale on a wall map is 1 inch = 55 miles. What is the distance on the map between 2 cities that are 99 miles apart?
A.
1.8 inches
B.
129 miles
C.
60 inches
D.
135 inches
E.
1,100 miles
F.
75 miles
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7.
In a photograph, a sculpture is 4.2 cm tall and 2.5 cm wide. The scale factor is 1/16. How tall is the actual sculpture?
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8.
In a photograph, a sculpture is 4.2 cm tall and 2.5 cm wide. The scale factor is 1/16. How wide is the actual sculpture?
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9.
There are several different scales in model railroading. Trains designated as O guage are built to a scale factor of 1:48. To the hearest hundredth of a foot, how long is a model of a 50-foot boxcar in O guage?
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10.
On a scale drawing, the scale factor is 1/12. A plum tree is 7 inches tall on the scale drawing. What is the actual height of the tree?On a roa
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11.
Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale factor is 1:90?
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12.
On a raod map of Virginia, the distance from Alexandria to Roanoke is 7.6 cm. What is the actual distance between the cities if the map scale is 2 cm = 50 miles
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13.
For a school project, LeeAnn is making a model of the Empire State Building. She is using a scale of 1 cm = 8 feet. The Empire State Building is 1,252 feet tall. How tall is her model?

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