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1) A model train has a scale of 1/50. If the model engine is 12 inches long, how long is the actual train engine in feet? scale 50 1 50 1 model actual model actual Hint: Convert 12 inches to feet for the bottom part. inches inches feet feet 2) A model train has a scale of 1/50. If a box car of the actual train is 25 feet long, how long is the model boxcar in inches? scale model actual Hint: Convert 25 feet to inches for the top part. model actual inches inches feet feet 3) The Japanese flag has a height:length ratio of 2:3. If a Japanese flag is 40 centimeters high, what is its length in centimeters? scale height width cm. high cm. width 4) John lives 20 miles from a shopping center. His map shows that 1/2 inch is equivalent to 5 miles. How many inches apart are John's house and the shopping center on his map? 0 inches miles = inches miles actual 5) The scale factor for a toy animal is 1:20. If the real animal is 80 feet, how long would the model be in feet? model = feet feet 6) The U.S. flag has a height:length ratio of 10:19. If the flag is 40 inches high, what is its length? H W inches wide inches height 7) The U.S. flag has a height:length ratio of 10:19. If the flag is 57 inches long, what is it height? actual model height length = inches height inches length 8) A microscope has a scale of 200:1. If a cell under the microscope appears 0.15 cm., how small is it in real life? actual model = 0 0 cm. cm. 9) If one inch is equivalent to 20 miles on the map, how far is 4 ½ inches on the map? actual model inch miles = inches miles 10) A bathroom in a new home is 6 feet long. The blueprint of the bathroom shows the length of 3 inches. What is the scale factor for the blueprint? Hint: Change 6 feet to inches first. Then write as a ratio and simplify. 12 inches 1 foot : = 6 feet inches Bonus: Mallary is building a scale model at a 1:60 scale. If the height of the model is 2½ inches, what is the actual height in feet? Write your answer as a decimal. feet actual model = |