Name: 
 

Chapter6StudyGuide


Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 
Write the ratio as a fraction in simplest form.
 

 1. 
24 to 20
a.
chapter6studyguide_files/i0030000.jpg
b.
chapter6studyguide_files/i0030001.jpg
c.
chapter6studyguide_files/i0030002.jpg
d.
chapter6studyguide_files/i0030003.jpg
 

 2. 
In the population of a particular country, the male-to-female ratio is 46 to 54. Write this ratio as a fraction in simplest form.
a.
chapter6studyguide_files/i0040000.jpg
b.
chapter6studyguide_files/i0040001.jpg
c.
chapter6studyguide_files/i0040002.jpg
d.
chapter6studyguide_files/i0040003.jpg
 

 3. 
Convert 2 qt/min to gallons per hour.
a.
8 gal/h
b.
120 gal/h
c.
30 gal/h
d.
3 gal/h
 

 4. 
Convert 50 mi/h to feet per minute.
a.
4,400 ft/min
b.
3,000 ft/min
c.
1,200 ft/min
d.
6,636 ft/min
 
 
Solve the proportion.
 

 5. 
chapter6studyguide_files/i0080000.jpg
a.
2
b.
5
c.
10
d.
20
 

 6. 
One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 290 nautical miles?
a.
537 km
b.
157 km
c.
185 km
d.
53,650 km
 

 7. 
Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.
a.
chapter6studyguide_files/i0100000.jpg
c.
chapter6studyguide_files/i0100001.jpg
b.
chapter6studyguide_files/i0100002.jpg
d.
chapter6studyguide_files/i0100003.jpg
 

 8. 
The triangles are similar. Find the value of a.
chapter6studyguide_files/i0110000.jpg
a.
12
b.
6
c.
10
d.
16
 

 9. 
A building 50 ft high casts a 75-ft shadow. Sarah casts a 6-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?
a.
4 ft
b.
5 ft
c.
3 ft
d.
not here
 

 10. 
A map shows the distance between the corner of Cactus Road and 1st Street and the corner of 1st Street and Merle Road as 3 inches. If the scale is 1 in. : 3.7 mi, what is the actual distance?
a.
1.3 mi
b.
11.1 mi
c.
111 mi
d.
22.2 mi
 

 11. 
You have 15 pennies in your pocket. Of those pennies, 3 are Canadian. Suppose you pick a penny out of your pocket at random. Find P(not Canadian).
a.
chapter6studyguide_files/i0140000.jpg
b.
chapter6studyguide_files/i0140001.jpg
c.
chapter6studyguide_files/i0140002.jpg
d.
chapter6studyguide_files/i0140003.jpg
 

 12. 
A survey of teenagers found the music preferences listed. If you pick a teenager at random, what is P(rock)?
Country
Jazz
Rock
Classical
New Age
Other
12
5
7
6
6
4
a.
chapter6studyguide_files/i0150000.jpg
b.
chapter6studyguide_files/i0150001.jpg
c.
chapter6studyguide_files/i0150002.jpg
d.
1
 

 13. 
A jar contains 45 red candies and 60 black candies. Suppose a candy is selected at random. What are the odds against selecting a red candy?
a.
3 to 7
b.
4 to 7
c.
3 to 4
d.
4 to 3
 

 14. 
The probability of winning a particular game at the Game Place is chapter6studyguide_files/i0170000.jpg. Find the odds against winning the game.
a.
1 to 4
b.
3 to 4
c.
3 to 1
d.
5 to 1
 

 15. 
Find 78% of 380. Round to the nearest tenth of a percent if necessary.
a.
3.8
b.
29,640.0
c.
296.4
d.
487.2
 

 16. 
What percent of 67 is 33? If necessary, round to the nearest tenth of a percent.
a.
203.0%
b.
0.5%
c.
49.3%
d.
33.0%
 

 17. 
Emma already has read 6 of 20 books on her summer reading list. What percent of the books on her list has she read already?
a.
23.1%
b.
30.0%
c.
333.3%
d.
0.3%
 

 18. 
Two U.S. states are not part of the continental United States. What percent of the fifty U.S. states are included in the continental United States?
a.
2%
b.
13%
c.
48%
d.
96%
 

 19. 
20 is 50% of what number? If necessary, round to the nearest tenth.
a.
10.0
b.
1000.0
c.
40.0
d.
0.4
 

 20. 
The Mogul Runners ski club planned a trip to Park City. Of the total number of members belonging, 11 signed up to go. If this is 25% of the club, how many total members does the ski club have?
a.
22 members
b.
3 members
c.
275 members
d.
44 members
 

 21. 
Martha paid $42.40 for her sister’s birthday present. This included 6% sales tax. What was the cost of the gift before tax?
a.
$40.00
b.
$44.94
c.
$25.44
d.
$2.40
 
 
Write the percent as a fraction or mixed number in simplest form.
 

 22. 
35%
a.
chapter6studyguide_files/i0260000.jpg
b.
chapter6studyguide_files/i0260001.jpg
c.
chapter6studyguide_files/i0260002.jpg
d.
chapter6studyguide_files/i0260003.jpg
 

 23. 
155%
a.
chapter6studyguide_files/i0270000.jpg
b.
chapter6studyguide_files/i0270001.jpg
c.
chapter6studyguide_files/i0270002.jpg
d.
chapter6studyguide_files/i0270003.jpg
 

 24. 
Write 88.2% as a decimal.
a.
8.82
b.
882
c.
0.882
d.
8,820
 

 25. 
At the Mega Theater, 80% of the movies this weekend are comedies. As a fraction in simplest form, what fraction of the movies are comedies?
a.
chapter6studyguide_files/i0290000.jpg
b.
chapter6studyguide_files/i0290001.jpg
c.
chapter6studyguide_files/i0290002.jpg
d.
not here
 
 
Write the decimal as a percent.
 

 26. 
1.513
a.
151.3%
b.
1,513%
c.
0.1513%
d.
15.13%
 
 
Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
 

 27. 
chapter6studyguide_files/i0330000.jpg
a.
14.3%
b.
7%
c.
1%
d.
1.43%
 
 
Write an equation and solve. Round to the nearest tenth where necessary.
 

 28. 
What is 35% of 63?
a.
chapter6studyguide_files/i0350000.jpg; 180
c.
chapter6studyguide_files/i0350001.jpg; 2,205
b.
chapter6studyguide_files/i0350002.jpg; 22.05
d.
chapter6studyguide_files/i0350003.jpg; 22.05
 

 29. 
19 is what percent of 40?
a.
chapter6studyguide_files/i0360000.jpg; 47.5%
c.
chapter6studyguide_files/i0360001.jpg; 40.4%
b.
chapter6studyguide_files/i0360002.jpg; 2.1%
d.
chapter6studyguide_files/i0360003.jpg; 52.3%
 

 30. 
64 is 80% of what?
a.
chapter6studyguide_files/i0370000.jpg; 0.8
c.
chapter6studyguide_files/i0370001.jpg; 80
b.
chapter6studyguide_files/i0370002.jpg; 125
d.
chapter6studyguide_files/i0370003.jpg; 1.3
 

 31. 
What percent of 24 is 30?
a.
n chapter6studyguide_files/i0380000.jpg 24 = 30; 125%
c.
n = 30 chapter6studyguide_files/i0380001.jpg 24; 720%
b.
n chapter6studyguide_files/i0380002.jpg 30 = 24; 80%
d.
n = 30 chapter6studyguide_files/i0380003.jpg 0.24; 720%
 

 32. 
21 is 35% of what number?
a.
chapter6studyguide_files/i0390000.jpg; 62.4
c.
chapter6studyguide_files/i0390001.jpg; 40.8
b.
chapter6studyguide_files/i0390002.jpg; 7.4
d.
chapter6studyguide_files/i0390003.jpg; 60
 

 33. 
Find the percent of increase from 320 to 380. Round to the nearest tenth of a percent if necessary.
a.
18.8%
b.
84.2%
c.
15.8%
d.
0.2%
 

 34. 
The sales of a particular brand of children’s athletic shoes rose from $6,900,000 to $7,400,000. Find the percent of increase in sales. Round to the nearest tenth of a percent if necessary.
a.
6.8%
b.
0.1%
c.
93.2%
d.
7.2%
 

 35. 
Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent if necessary.
a.
25%
b.
0.3%
c.
33.3%
d.
133.3%
 

 36. 
Wren bought a baseball card last year for $2.25. This year the price dropped to $.45. What was the percent of decrease in the price of the card?
a.
80%
b.
500%
c.
120%
d.
400%
 

 37. 
A toy store’s percent of markup is 35%. A model train costs the store $100. Find the markup.
a.
$135
b.
$35
c.
$285.71
d.
$65
 

 38. 
Video games are on sale for 35% off. If a particular game regularly sells for $99.50, what is the sale price?
a.
$34.83
b.
$96.02
c.
$64.68
d.
$134.33
 

 39. 
At the beginning of 1995, the town of Canyon Ridge had 1,700 residents. The rate of population growth after that was 6% per year. Estimate the population at the beginning of 2005.
a.
about 102 residents
c.
about 3,502 residents
b.
about 3,044 residents
d.
about 1,802 residents
 

Short Answer
 
 
Tell whether the two ratios form a proportion. Explain.
 

 40. 
chapter6studyguide_files/i0490000.jpg and chapter6studyguide_files/i0490001.jpg
 

 41. 
chapter6studyguide_files/i0500000.jpg and chapter6studyguide_files/i0500001.jpg
 

Essay
 

 42. 
Allen makes a 3.4% commission selling vehicles at a car dealership.
a. How much commission does he make on the sale of a $17,000 car? Show your work.
b. During one busy month, Allen’s total commission was $9,860. If a salesperson sells more than $200,000 in one month, the person receives a bonus. Did Allen receive a bonus? Explain.
 



 
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