Scale Drawings and Models Word Problems

Your scale is 1 inch to 5 miles. If the drawing shows a road that is 2 inches long, how many miles is the actual road?

• 5 miles

• 2.5 miles

• 10 miles

• 7 miles

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millimeters. What is the actual height of the train?

• 4,896,000 millimeters

• 4,896 millimeters

• 48.96 meters

• 2.125 millimeters

Kiera measured a farm and made a scale drawing. In real life, the goat pen is 18 meters long. It is 6 centimeters long in the drawing. What scale did Kiera use for the drawing?

• 1 cm = 6 meters

• 1 m = 18 centimeters

• 18 centimeters = 6 meters

• 1 cm = 3 meters

A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 

• 7 km

• 5 km

• 15 km

• 17 km 

Review the picture.  Find the missing side measurement in the picture using a proportion.

• w = 18 m

• w = 6 m

• 6 m

• w = 0.16 m

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. How wide is the actual park?

• 40 yd

• 56 yd

• 200 yd

• 378 yd

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?

• 200 miles

• 175 miles

• 100 miles

• 125 miles

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. WHAT IS THE SCALE?

• 1 in to 40 yd

• 1 in to 52 yd

• 1 in to 56 yd

• 1 in to 64 yd

ABCD is the original, EFGH is the copy. If angle E is 30^o, what is angle A?

• 15^o

• 30^o

• 60^o

• 90^o

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?

• 50 m

• 2 m

• 10 m

• 5 m