Proportional Relationships: Scale Factor Challenges for 6th Grade

A model of a building is 3 feet tall. If the scale factor is 1:20, how tall is the actual building in feet?

• 30 feet

• 80 feet

• 45 feet

• 60 feet

A map uses a scale of 1 inch to represent 5 miles. If two cities are 4 inches apart on the map, how far apart are they in miles?

• 15 miles

• 25 miles

• 20 miles

• 10 miles

A recipe for cookies calls for 2 cups of flour. If you want to make a batch that is 1.5 times larger, how many cups of flour do you need?

• 3 cups of flour

• 2 cups of flour

• 1 cup of flour

• 4 cups of flour

A photograph is enlarged by a scale factor of 2. If the original photo is 5 inches wide, what is the width of the enlarged photo?

• 15 inches

• 20 inches

• 10 inches

• 5 inches

A garden is designed to be 10 feet by 15 feet. If the scale factor for a model of the garden is 1:5, what are the dimensions of the model in feet?

• 2 feet by 5 feet

• 3 feet by 2 feet

• 1 foot by 2 feet

• 4 feet by 3 feet

A toy car is 6 inches long. If a scale model of the car is made with a scale factor of 1:3, how long will the model be in inches?

• 3 inches

• 1 inch

• 2 inches

• 4 inches

A rectangular swimming pool is 20 feet long and 10 feet wide. If the dimensions are scaled down by a factor of 0.5, what are the new dimensions of the pool?

• 5 feet long and 2.5 feet wide

• 15 feet long and 7.5 feet wide

• 20 feet long and 10 feet wide

• 10 feet long and 5 feet wide

A blueprint of a house shows the living room as 4 inches by 6 inches. If the scale factor is 1:25, what are the actual dimensions of the living room in feet?

• 8.33 feet by 12.5 feet

• 4 feet by 6 feet

• 10 feet by 15 feet

• 6 feet by 9 feet

A scale model of a spaceship is built with a scale factor of 1:100. If the actual spaceship is 150 feet long, how long is the model in feet?

• 15 feet

• 1.5 feet

• 0.15 feet

• 1500 feet

A scale drawing of a park shows a walking path that is 3 inches wide. If the scale factor is 1:10, what is the actual width of the walking path in feet?

• 4 feet

• 2.5 feet

• 1.5 feet

• 3 feet