Introduction to Scale Factors

Fairview and Rockville are 104 miles from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 miles? Solve the proportion.

• 7 cm

• 1352 cm

• 8 cm

• 4 cm

The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.

• 165 miles

• 50 miles

• 82.5 miles

• 41.25 miles

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet

• 16 feet 

• 10 feet

• 4 feet

Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?

• 10 in²

• 25 in²

• 100 in²

• 484 in²

Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards

• 1372

• 5

• 14

• 7

On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?

• 42 inches = 1 mile

• 1 inch = 42 miles

• 40 inches = 1 mile

• 
  1 inch = 40 miles

If you want to find the scale factor from one figure to another, which formula should you use?

• New/Original

• Original/New

• Part/Whole

From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.

• 300 miles

• 1000 miles

• 900 miles

• 600 miles

What is a scale drawing?

• A drawing that shows a real object enlarged or reduced

• A drawing of the weight of an object

• A life size drawing of an object

• A drawing that shows all the sides of a building

My shape has a length of 7 cm and a width of 9 cm. I enlarge my shape by a scale factor of 5. What are my new measurements?

• Length 21 cm and width 27 cm

• Length 35 cm and width 18 cm

• Length 21.5 cm and width 32cm

• Length 35 cm and width 45 cm