Proportional Reasoning with Scale Drawings

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?

• 18 miles
• 18 inches
• 5512.5 inches
• 5512.5 miles

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?

• 0.28 miles
• 28 miles
• 87.5 miles
• 87.5 inches

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)

• w = 108 in, l = 144 in
• w = 3 in; l = 144 in
• w = 3 in; l = 4 in
• w = 3 ft; l = 4 ft

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?

• 1.5 m
• 1.5 cm
• 15 cm
• 6 cm

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?

• 3.5 mi
• 1008 mi
• 2.5 mi
• 3.5 in

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?

• 408 feet
• 408 cm
• 40.8 ft
• 5.65 cm

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? 

• 10 cm
• 1 cm
• 10 km
• 2.5 km

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?

• 7 km
• 1.75 km
• 2 km
• 70 km

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?

• 2800 feet
• 350 feet
• 350 inches
• 2800 inches

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?

• 75 ft
• 0.024 ft
• 60 ft
• 50 ft