Scale Factors Challenge: Models and Drawings for 5th Graders

A model of a car is built at a scale of 1:10. If the actual car is 4 meters long, how long is the model car in centimeters?

• 50 centimeters

• 30 centimeters

• 40 centimeters

• 100 centimeters

A blueprint of a park is drawn at a scale of 1:50. If a walking path on the blueprint is 3 centimeters long, how long is the actual walking path in meters?

• 0.5 meters

• 2.0 meters

• 3.0 meters

• 1.5 meters

A scale drawing of a house shows the living room as 6 inches long. If the scale is 1 inch = 2 feet, what is the actual length of the living room in feet?

• 10 feet

• 8 feet

• 14 feet

• 12 feet

A toy airplane is made at a scale of 1:20. If the wingspan of the actual airplane is 40 feet, how long are the wings on the model in inches?

• 30 inches

• 12 inches

• 36 inches

• 24 inches

A map is drawn with a scale of 1:1000. If the distance between two towns on the map is 5 centimeters, what is the actual distance between the towns in kilometers?

• 0.005 km

• 5 km

• 0.5 km

• 0.05 km

A scale model of a building is created with a scale of 1:25. If the height of the model is 12 inches, how tall is the actual building in feet?

• 20 feet

• 25 feet

• 15 feet

• 30 feet

A garden is designed using a scale drawing where 1 inch represents 4 feet. If a flower bed is 5 inches long on the drawing, how long is it in feet in real life?

• 15 feet

• 20 feet

• 25 feet

• 10 feet

A scale drawing of a swimming pool shows it to be 8 inches long. If the scale is 1 inch = 3 feet, what is the actual length of the pool in feet?

• 24 feet

• 18 feet

• 30 feet

• 20 feet

A city park is represented on a map with a scale of 1:500. If the park measures 10 centimeters on the map, what is the actual area of the park in square meters?

• 1250 square meters

• 1000 square meters

• 500 square meters

• 2500 square meters

A model of a bridge is built at a scale of 1:15. If the actual bridge is 90 feet long, how long is the model in inches?

• 72 inches

• 48 inches

• 90 inches

• 60 inches