Proportional Relationships: Scale Factor Challenges

A model of a car is 5 inches long. If the scale factor is 3, how long is the actual car in inches?

• 10 inches

• 12 inches

• 18 inches

• 15 inches

A map has a scale of 1 inch to 10 miles. If two cities are 4 inches apart on the map, how far apart are they in real life?

• 40 miles

• 60 miles

• 20 miles

• 100 miles

A recipe calls for 2 cups of flour to make 12 cookies. If you want to make 36 cookies, how many cups of flour do you need?

• 6 cups

• 10 cups

• 8 cups

• 4 cups

A photograph is enlarged by a scale factor of 2. If the original photo is 6 inches wide, what is the width of the enlarged photo?

• 12 inches

• 14 inches

• 10 inches

• 8 inches

A garden is designed to be 4 feet wide and 6 feet long. If the scale factor for a model of the garden is 0.5, what are the dimensions of the model?

• 2 feet wide and 3 feet long

• 3 feet wide and 4 feet long

• 1 foot wide and 2 feet long

• 2 feet wide and 4 feet long

A toy train is 10 inches long. If a larger version of the train is made with a scale factor of 4, how long will the larger train be?

• 20 inches

• 40 inches

• 30 inches

• 50 inches

A blueprint of a house shows the living room as 3 inches by 4 inches. If the scale factor is 5, what are the actual dimensions of the living room in feet?

• 1 foot by 2 feet

• 1.25 feet by 1.67 feet

• 2 feet by 3 feet

• 4 feet by 5 feet

A scale model of a spaceship is built with a scale factor of 1:100. If the model is 2 feet long, how long is the actual spaceship in feet?

• 200 feet

• 50 feet

• 100 feet

• 150 feet

A drawing of a park is made with a scale of 1 inch to 20 feet. If the drawing shows a pond that is 3 inches long, how long is the pond in real life?

• 75 feet

• 45 feet

• 60 feet

• 30 feet

A scale model of a bridge is 12 feet long. If the scale factor is 1:25, how long is the actual bridge in feet?

• 400

• 150

• 250

• 300