Name _________________________________ Date __________________ Block ___________
Proportions Practice with an Emphasis on Scale Drawing
1. What is the difference between a ratio and a proportion? Give an example of each.
2. Stacy bought twelve bags of candy for $87.96.
a. Represent this situation with a ratio.
b. Find the unit rate.
c. Create a proportion by writing an equivalent ratio.
3. Would it be more cost efficient to buy ten gallons of gas for $37.46, twelve gallons of
gas for $44.96 or fifteen gallons of gas for $56.85? Find each unit price to prove your
answer.
4. Explain how to prove that
is NOT a proportion.
Name _________________________________ Date __________________ Block ___________
Directions: Solve each proportion. SHOW YOUR WORK.
5)
=
6)
=
7)
=
Directions: Read each story. Set up the proportion and solve. SHOW YOUR WORK.
8) The ratio of red M & M’s to green M & M’s in Arielle’s bag is 5:3. If there are 54
green M & M’s in the bag, how many red ones are there?
11) George is raking leaves for some of his neighbors. If George earns $102 for 10 hours
of work, how much should he charge for 3 hours of work?
12) Sarah is putting together a 750 piece puzzle. She can place 15 pieces every five
minutes. At this rate, how long will it take her to complete the puzzle? Give your
answer in hours and minutes.
Name _________________________________ Date __________________ Block ___________
13) What is the difference between a scale drawing, a scale, and a scale factor?
Directions: Write a proportion to help you answer each question. SHOW YOUR WORK.
14) Jole used a scale of 1 inch = 3 feet to construct a scale model of her backyard. A tree
in the model has a height of 4 inches.
a. What is the actual height of the tree?
b. What is the scale factor of the model? What does this value mean?
15) When it was built in 1962, the Space Needle was the tallest building west of the
Mississippi River. At its highest point, this structure is 605 feet tall. Randy wants to
use a scale of 1 inch = 25 feet to build a scale model of the Space Needle. How tall
will this model need to be?
16) On a map, the scale is 1 inch = 35 miles. What is the actual distance between two
cities that are 2 inches apart on the map?
Name _________________________________ Date __________________ Block ___________
17) On a map, the scale is 1 inch = 8 miles. Find the dimensions of a school district that is
5 inches by 8 inches on the map. Hint: You will need to find length and width.
18) Rebecca is drawing a scale model of her bedroom. The model is 7.5 inches long and 6
inches wide. If she used the scale 1 inch = 2 feet, what are the dimensions of the
actual room? Hint: You will need to find length and width.
19) A model of the Titanic is built with a scale of 1 inch = 10 feet. If the actual Titanic is
882 ¾ feet long, how long is the model?
20) It is 110 miles from Washington D.C. to Richmond, VA. If the distance between the
two cities in an atlas is 5 ½ inches, what scale was used to draw the map?
21) Don drew a model of the desk he was about to build. He used a scale of ½ inch =
10 inches. The model was
inches tall.
a. How tall was the actual desk? Can you give me the height in feet?
b. What is the scale factor of his model?