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WorksheetsScale Drawing and Proportions
Total questions: 28
Worksheet time: 1hrs 1mins
Name
Class
Date
1.
Using 2 in = 35 miles, solve: The distance between Troy City and Ben City is 315 miles. How far apart are they on the map?
a)
18 miles
b)
18 inches
c)
5512.5 inches
d)
5512.5 miles
2.
Using 2 in = 35 miles solve: Marking City is 5 inches away from Jamming City on the map. What is the actual distance between the two cities?
a)
0.28 miles
b)
28 miles
c)
87.5 miles
d)
87.5 inches
3.
A blueprint of a house has a scale of 1 in = 6 ft. the living room has dimensions (width x length) of 18 ft by 24 ft. What are the dimensions on the blueprint of the living room? (use 2 different proportions; one for width and one for length)
a)
w = 108 in, l = 144 in
b)
w = 3 in; l = 144 in
c)
w = 3 in; l = 4 in
d)
w = 3 ft; l = 4 ft
4.
A model of a car has a scale of 3 cm: 2 m. The length of the actual hood of the car is 1 m. What is the length of the hood of the model?
a)
1.5 m
b)
1.5 cm
c)
15 cm
d)
6 cm
5.
The scale of the map is 1/4 in: 18 mi. The state capitol is 252 miles from the border. How far is the state capitol from the border on the map?
a)
3.5 mi
b)
1008 mi
c)
2.5 mi
d)
3.5 in
6.
A model length of 12 cm represents an actual length of 102 feet. The model has a width of 48 cm. What is the width of the actual object?
a)
408 feet
b)
408 cm
c)
40.8 ft
d)
5.65 cm
7.
A map is drawn to the scale of 1 cm = 2 km. If the distance between the school and post office measures 5 cm on the map, what is the actual distance between them?
a)
10 cm
b)
1 cm
c)
10 km
d)
2.5 km
8.
Using 1 cm = 2 km: The highway that runs from one end of the city to the opposite end measures 3.5 cm on the map. What is the actual distance of this section of highway?
a)
7 km
b)
1.75 km
c)
2 km
d)
70 km
9.
A scale model of a skyscraper is 1.6 inches long, 2.8 inches wide, and 11.2 inches high. The scale is 8 inches = 250 feet. What is the height of the real skyscraper?
a)
2800 feet
b)
350 feet
c)
350 inches
d)
2800 inches
10.
A scale model of a house is 1 ft. long. The actual house is 50 ft. long. In the model, the window is 1 1/5 inches tall. How many feet is the actual window?
a)
75 ft
b)
0.024 ft
c)
60 ft
d)
50 ft
11.
This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?
a)
63 m
b)
235 m
c)
315 m
d)
630 m
12.
The windows in the drawing are 1¾ cm apart, how many meters apart are the actual windows if the scale is 2 cm=10 m?
a)
8¾ m
b)
7½ m
c)
5 m
d)
2¼ m
13.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet
c)
10 feet
d)
4 feet
14.
A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?
a)
9ft x 10ft
b)
1ft x 2ft
c)
12ft x 6ft
d)
18ft x 20ft
15.
A scale model of a house is 1 ft long. The actual house is 36 ft long. In the model, the door is 2 in. high. How many feet high is the actual door?
a)
12 feet
b)
6 feet
c)
18 feet
d)
4 feet
16.
The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
17.
How many inches long would the model train be?
a)
5.5 in.
b)
6.5 in.
c)
7.5 in.
d)
9.5 in.
18.
How many cm would the model of the arch be?
a)
40 cm
b)
44 cm
c)
46 cm
d)
48 cm
19.
A rectangular garden is 45 ft wide and 70 ft long. In a drawing, the width is 9 in. Identify the length on the drawing.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
20.
2. MODELS A model ship is built to a scale of 1 centimeter : 5 meters. The length of the model is 30 centimeters. What is the actual length of the ship?
a)
125 m
b)
150 m
c)
175 m
d)
6 m
21.
3. BUILDING Curtis wants to build a model of a 180-meter tall building. He will be using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be? Round your answer to the nearest tenth.
a)
77.1m
b)
7m
c)
7.71m
d)
15.7m
22.
4. TRAVEL Merritt is driving to Mount Shasta. On her map, she is a distance of 7 3 /4 inches away. The scale of the map is 1/2 inch = 50 miles. How far must Merritt travel to reach her destination?
a)
25 mi
b)
350 mi
c)
75 mi
d)
775 mi
23.
On this map, the distance from Raleigh to Wilson is 4 inches. What is the scale of the map?
a)
1 inch = 10 miles
b)
1 inch = 40 miles
c)
1 inch = 80 miles
24.
6. On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
25.
8. To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?
a)
9 cm
b)
18 cm
c)
90 cm
d)
9 m
26.
Kari is traveling to the mountains with her family. On a map the scale is 1 in = 10 miles. If it is 276 miles to the mountains, what is the distance on the map?
a)
2760 in
b)
2.76 in
c)
27600 in
d)
27.6 in
27.
The length of a highway is 900 miles. If 0.5 inch on a map represents 50 miles, what is the length of the highway on the map?
a)
9,000 miles
b)
90,000 miles
c)
9 inches
d)
2 inches
28.
A model is built to a scale of 1 ft ∶ 5 ft. If a model airplane is 4 feet long, how long is the actual plane?
a)
15
b)
5
c)
⅕
d)
20
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