1001_Math_Problems__LearningExpress_
.pdf
S E C T I O N
4 
Percentages
The following 10 sets of problems deal with percentages, which, like decimals, are a special kind of fraction. Percentages have many everyday uses, from figuring the tip in a restaurant to understanding complicated interest and inflation rates. This section will give you practice in work-
ing with the relationship between percents, decimals, and fractions, and with changing one into another. You will also practice ratios and proportions, which are similar to percentages.
71
–PERCENTAGES–
Set 31 (Answers begin on page 186.)
481.7% =
a.7.0
b.0.7
c.0.07
d.0.007
482.4% =
a.0.04
b.0.4
c.4.0
d.0.004
483.25% =
a.0.025
b.0.25
c.2.5
d.2.05
484.2.06% =
a.2.06
b.0.206
c.0.0206
d.206
485.300% =
a.0.03
b.0.3
c.3.0
d.30.0
486.0.05 =
a.0.50%
b.5.0%
c.50.0%
d.500%
1
487. 6 % =
4
a.0.625%
b.6.25%
c.62.5%
d.625%
488.0.005% =
a.0.00005
b.0.0005
c.0.005
d.0.05
1
489. % =
4
a. 0.0025% b. 0.025% c. 0.25% d. 25.0%
1
490. =
4
a. 25% b. 0.25%
c. 0.025% d. 0.0025%
491. 0.97 is equal to a. 97%
b. 9.7% c. 0.97% d. 0.097%
492. 10% converted to a fraction =
100
a.
10
1
b.
10
10
c.
1
10
d. 10
72
–PERCENTAGES–
493. 350% converted to a mixed number = |
495. |
80% of 400 = |
||
a. |
1 |
|
a. |
480 |
35 2 |
|
|||
|
|
|
|
|
b. |
1 |
|
b. |
340 |
3 2 |
|
|||
|
|
|
|
|
c. |
1 |
|
c. |
320 |
|
|
|||
0.3 2 |
|
d. |
180 |
|
d. |
0.350 |
|
||
494. 24% converted to a fraction = |
496. |
60% of 390 = |
||
a. |
1 |
|
a. |
234 |
|
|
|||
24 |
|
b. |
190 |
|
b. |
6 |
|
||
24 |
|
|
|
|
|
|
|
|
|
c. |
1 |
|
c. |
180 |
25 |
|
|
|
|
|
|
|
d. |
|
d. |
6 |
|
134 |
|
25 |
|
|
|
|
|
|
|
|
|
73
–PERCENTAGES–
Set 32 (Answers begin on page 186.)
497.42% of 997 =
a.990.24
b.499.44
c.450.24
d.418.74
498.300% of 20 =
a.7
b.20
c.30
d.60
499.20% of 96 =
a.19.2
b.1.92
c.0.92
d.0.092
500.26% converted to a decimal =
a.0.0026
b.0.026
c.0.26
d.2.6
501.Which of the following is 14 percent of 232?
a.3.248
b.32.48
c.16.57
d.165.7
502.What percentage of 18,000 is 234?
a.1,300%
b.130%
c.13%
d.1.3%
503.What percentage of 600 is 750?
a.80%
b.85%
c.110%
d.125%
1
504. What is 7 % of 465, rounded to the
5
nearest tenth?
a.32.5
b.33
c.33.5
d.34
505.62.5% is equal to
1
a. .
16
5
b. .
8
1
c. 6 .
4
2
d. 6 .
5
7
506. Convert to a percentage.
40
a.0.0175%
b.0.175%
c.1.75%
d.17.5%
507.Approximately how much money is a 20% tip on a restaurant bill of $16?
a.$0.32
b.$3.20
c.$6.40
d.$12.80
508.Approximately how much money is a 15% tip on a restaurant bill of $24?
a.$2.40
b.$3.20
c.$3.60
d.$4.80
74
–PERCENTAGES–
509. What is 43.4% of 15? |
511. What is 44% of 5? |
|||
a. |
1.43 |
a. |
0.22 |
|
b. |
4.91 |
b. |
2.2 |
|
c. |
6.00 |
c. |
2.02 |
|
d. |
6.51 |
d. |
0.0022 |
|
510. What is 0.2% of 20? |
512. 80% is equivalent to |
|||
a. |
4.0 |
a. |
0.8 and |
8 |
10 . |
||||
|
|
|
|
|
b. |
0.4 |
b. |
8.0 and |
8 |
|
||||
c. |
0.04 |
10 . |
||
c. |
0.8 and |
10 |
||
|
|
8 . |
||
|
|
|
|
|
d. |
0.0044 |
d. |
|
8 |
|
|
0.08 and 8 . |
||
|
|
|
|
|
75
–PERCENTAGES–
Set 33 (Answers begin on page 187.) |
518. |
What percent of 50 is 12? |
|||
|
|
|
a. |
4% |
|
513. 35% of what number is equal to 14? |
|
b. |
14% |
|
|
a. |
4 |
|
c. |
24% |
|
b. |
40 |
|
d. |
0.4% |
|
c. |
49 |
|
|
|
|
d. |
400 |
519. |
33 is 12% of what number? |
||
|
|
|
a. |
3,300 |
|
514. Which of the following phrases |
|
b. |
330 |
|
|
means “percent”? |
|
c. |
275 |
|
|
a. |
“per part” |
|
d. |
99 |
|
b. |
“per 100 parts” |
|
|
4 |
|
c. |
“per fraction” |
520. |
|
to a percent. |
|
Change 25 |
|||||
|
|
|
|
|
|
d. |
“per decimal” |
|
a. |
4% |
|
|
|
|
b. |
16% |
|
515. Which of the following terms is best described |
|
c. |
40% |
|
|
as “a comparison of two numbers?” |
|
d. |
100% |
|
|
a. |
variable |
|
|
|
|
b. |
coefficient |
521. |
0.8 = |
|
|
c. |
ratio |
|
a. |
8% |
|
d. |
radical |
|
b. |
0.8% |
|
|
|
|
c. |
80% |
|
516. Which of the following is equal to 0.13? |
|
d. |
800% |
|
|
a. |
13 |
|
1 |
|
|
|
|
522. |
|
|
|
|
4 × 100% = |
||||
b. |
13 |
|
|
|
|
100 |
|
a. |
25% |
|
|
c. |
13 |
|
|
||
13 |
|
|
|
|
|
|
|
|
b. |
0.25% |
|
d. |
100 |
|
|
||
13 |
|
|
|
|
|
|
|
|
c. |
2% |
|
|
|
|
|
||
|
|
|
d. |
2.5% |
|
517.Which operation does the fraction bar in a fraction represent?
523. Membership dues at Arnold’s Gym are $53 per
a. addition
month this year, but were $50 per month last
b. subtraction
year. What was the percentage increase in the
c. multiplication
gym’s prices?
d. division
a. 5.5% b. 6.0% c. 6.5% d. 7.0%
76
–PERCENTAGES–
524.Lucille spent 12% of her weekly earnings on DVDs and deposited the rest into her savings account. If she spent $42 on DVDs, how much did she deposit into her savings account?
a.$42
b.$308
c.$318
d.$350
1
525. Yetta just got a raise of 3 %. Her original
4
salary was $30,600. How much does she make now?
a.$30,594.50
b.$31,594.50
c.$32,094.50
d.$32,940.50
Use the following passage to answer question 526.
527.Gloria has finished reading 30% of a 340-page novel. How many pages has she read?
a.102
b.103
c.105
d.113
528.Ten students from the 250-student senior class at Jefferson High School have received full college scholarships. What percentage of the senior class received full college scholarships?
a.2%
b.4%
c.10%
d.25%
Basic cable television service, which includes 16 channels, costs $15 a month. The initial labor fee to install the service is $25. A $65 deposit is required but will be refunded within two years if the customer’s bills are paid in full. Other cable services may be added to the basic service: the movie channel service is $9.40 a month; the news channels are $7.50 a month; the arts channels are $5.00 a month; the sports channels are $4.80 a month.
526.A customer’s cable television bill totaled $20 a month. Using the passage above, what portion of the bill was for basic cable service?
a.25%
b.33%
c.50%
d.75%
77
–PERCENTAGES–
Set 34 (Answers begin on page 188.)
529.Kirsten’s dinner at a local restaurant cost $13.85. If she wants to leave the server a tip that equals 20% of the cost of her dinner, how much of a tip should she leave?
a.$2.00
b.$2.67
c.$2.77
d.$3.65
530.This month, attendance at the baseball stadium was 150% of the attendance last month. If attendance this month was 280,000, what was the attendance last month, rounded to the nearest whole number?
a.140,000
b.176,670
c.186,667
d.205,556
531.Edward purchased a house for $70,000. Five years later, he sold it for an 18% profit. What was his selling price?
a.$82,600
b.$83,600
c.$85,500
d.$88,000
532.The price of gasoline drops from $1.00 per gallon to $0.95 per gallon. What is the percent of decrease?
a.2%
b.3%
c.4%
d.5%
1
533. A certain power company gives a 1 % discount
2
if a customer pays the bill at least ten days before the due date. If Inez pays her $48.50 bill ten days early, how much money will she save, rounded to the nearest cent?
a.$0.49
b.$0.73
c.$1.50
d.$7.28
534.Each year, on average, 24 of the 480 students at
acertain high school are members of the science team. What percentage of students is on the science team?
a. .05% b. .5%
c.5%
d.15%
535.Marty and Phyllis arrive late for a movie and miss 10% of it. The movie is 90 minutes long. How many minutes did they miss?
a.10 minutes
b.9 minutes
c.8 minutes
d.7 minutes
536.Jeremy ate 3 ounces of a 16-ounce carton of ice cream. What percentage of the carton did he eat?
a.18.75%
b.17.25%
c.19.50%
d.16.75%
78
–PERCENTAGES–
537.Wendy’s pay is $423.00; 19 percent of that is subtracted for taxes. How much is her takehome pay?
a.$404.44
b.$355.46
c.$350.42
d.$455.45
541.Veronique borrowed $10,000.00 from her Uncle Kevin and agreed to pay him 4.5% interest, compounded yearly. How much interest did she owe the first year?
a.$145.00
b.$100.00
c.$400.00
d.$450.00
538.In the accounting department at a university,
60% of the students are women and 250 of the 542. Rookie police officers have to buy duty shoes at
students are men. How many accounting students are there in all?
a.40
b.375
c.675
d.625
539.A ticket to an evening movie at a theater costs $7.50. The cost of popcorn at the concession stand is equal to 80% of the cost of a ticket. How much does the popcorn cost?
a.$5.50
b.$6.00
c.$6.50
d.$7.00
540.This week the stock market closed at 8,990 points. Last week it closed at 7,865 points. What was the percentage of increase this week, rounded to the nearest whole number percent?
a.14%
b.15%
c.85%
d.86%
the full price of $84.50, but officers who have served at least a year get a 15% discount. Officers who have served at least three years get an additional 10% off the discounted price. How much does an officer who has served at least three years have to pay for shoes?
a.$63.78
b.$64.65
c.$71.83
d.$72.05
543.At the city park, 32% of the trees are oaks. If there are 400 trees in the park, how many trees are NOT oaks?
a.128
b.272
c.278
d.312
544.The town of Centerville spends 15% of its annual budget on its public library. If Centerville spent $3,000 on its public library this year, what was its annual budget this year?
a.$15,000
b.$20,000
c.$35,000
d.$45,000
79
–PERCENTAGES–
SET 35 (Answers begin on page 189.)
545.Of the 1,200 videos available for rent at a certain video store, 420 are comedies. What per-
cent of the videos are comedies?
1
a. 28 %
2
b.30%
c.32%
d.35%
546.Toby, a Golden Retriever, gained 5.1 pounds this month. If Toby now weighs 65.1 pounds, what is the percent increase in Toby’s weight?
a.5.9%
b.6%
c.8.5%
d.9.1%
547.Glenda bought a sofa-sleeper at a 10% off sale and paid the sale price of $575.00. What was the price, rounded to the nearest cent, of the sofa-sleeper before the sale?
a.$585.00
b.$587.56
c.$633.89
d.$638.89
1
548. Nathan saves 5 % of his weekly salary. If
4
Nathan earns $380.00 per week, how much does he save each week?
a.$19.95
b.$20.52
c.$21.95
d.$25.20
549.Erin has completed 70% of her homework. If she has been doing homework for 42 minutes, how many more minutes does she have left to work?
a.15
b.18
c.20.5
d.28
550.Terrill cuts a piece of rope into three pieces. One piece is 8 feet long, one piece is 7 feet long, and one piece is 5 feet long. The shortest piece of rope is what percent of the original length before the rope was cut?
a.4%
b.18.5%
c.20%
d.25%
551.Pam’s monthly food budget is equal to 40% of her monthly house payment. If her food budget is $200.00 a month, how much is her house payment each month?
a.$340.00
b.$400.00
c.$500.00
d.$540.00
552.If container A holds 8 gallons of water, and container B holds 12% more than container A, how many gallons of water does container B hold?
a.8.12
b.8.48
c.8.96
d.9
80