Name: ___________________________________ Block: ______
SOL 7.4
Proportions Summative Study Guide
1. Which of the following is NOT a proportion? Show your work.
A)
5
7
=
18
25.2
B)
8
9
19.2
=
5
C)
20.7
3
=
125
75
2. Which of the following IS a proportion? Show your work.
A)
4
2
=
16
5
B)
5.3
15.9
=
2.7
c)
8.1
1.5
5
=
3
9
3. Solve each proportion. Show your work.
A)
3
6
=
𝑥
27
B)
10
15
=
15
𝑎
C)
14
18
=
𝑥
126
Directions for problems 5-10: Set up the proportion and solve. You must set up the
proportion or you will NOT receive full credit. SHOW YOUR WORK!
4. Jared completes 5 crossword puzzles every two weeks. At this rate, how many crossword puzzles will
Jared complete in one year? (Remember, there are 52 weeks in a year).
6. Kathleen worked at the ice cream parlor for seven hours last Saturday and earned $57.40. How much
does Kathleen make in one hour?
7. Shira is going hiking at Great Smokey Mountain National Park. If she can hike five miles in two
hours, how long will it take her to complete a seven mile trail?
Name: ___________________________________ Block: ______
SOL 7.4
8. If it takes Mandy 20 minutes to write six thank you cards, how many minutes will it take her to write
forty-eight thank you cards? How many hours is this? Write your answer as a mixed number.
9. The ratio of purple skittles to orange skittles in the bag is 5: 2. If there are 112 skittles in the
bag, how many of them are orange?
10. 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?
1
11. On a map, Virginia is 92 cm wide. What is the actual width of Viriginia if the scale on the map is
1 cm = 70 km?
12. A model of the right arm of the Statue of Liberty is 2 inches long. The actual length of
the arm is about 42 feet. What scale was used to build this model?
Directions for questions 13 and 14: Determine whether each pair of figures is similar. You
must show your work or explain your reasoning.
13.
14.
Name: ___________________________________ Block: ______
SOL 7.4
Directions for questions 15 and 16: Find the missing value. Assume each pair of geometric
figures is a pair of similar figures. SHOW YOUR WORK!
15.
16.
x
45 cm
40 cm
60 cm
Percent Proportion
Solve each problem. Show ALL of your work.
1. Tim took a science test. He had 92.5% of the questions correct. If there were 200 questions on
the test, how many of them did he get correct?
2. Six out of 30 students in Mrs. Wools’ math class received an A on the last summative. What
percentage of students received an A?
3. 75% of the questions on Jane’s math test were correct. If she got 60 questions correct, how
questions were there all together?
Name: ___________________________________ Block: ______
SOL 7.4
4. In Susie’s class, there are 32 students. If 25% of the students in her class are males, how many
female are in Susie’s class?
5. Steven bought a bag of popcorn that was 30% cheesy popcorn. The rest was caramel corn. If
there were 540 pieces of popcorn in the bag, how many pieces of caramel corn were there?
6. Your parents took your family out for pizza and breadsticks. If the total bill was $42.00, how
much money would your parents need to leave if they wanted to give the waiter an 18% tip?
7. Steve bought a remote control car for $95 and a remote control airplane for $125. They are both
on sale for 30% off with a sales tax of 6.5%. What is the final price of the remote control car and
airplane together?
1
8. The total bill for our dinner out is $46.79 before tax. The sales tax is 52%. Find the total cost of
the dinner with tax if you also want to give a 15% tip.