Math Problems Part-7

 97. An elevator sign reads “Maximum weight 600
pounds.”Which of the following may ride the
elevator?
a. three people: one weighing 198 pounds,
one weighing 185 pounds, one weighing
200 pounds
b. one person weighing 142 pounds with a
load weighing 500 pounds
c. one person weighing 165 pounds with a
load weighing 503 pounds
d. three people: one weighing 210 pounds,
one weighing 101 pounds, one weighing
298 pounds

98. Darlene was hired to teach 3 identical math
courses, which entailed being present in the
classroom 48 hours altogether. At $35 per class
hour, how much did Darlene earn for teaching
1 course?
a. $105
b. $560
c. $840
d. $1,680

99. Carmella and Mariah got summer jobs at the
ice cream shop and were supposed to work 15
hours per week each for 8 weeks. During that
time,Mariah was ill for one week and Carmella
took her shifts. How many hours did Carmella
work during the 8 weeks?
a. 120 hours
b. 135 hours
c. 150 hours
d. 185 hours

100. 400 pounds of cod are shipped to Jerry’s Fish
Market packed into 20-pound crates. How
many crates are needed for the shipment?
a. 80 crates
b. 40 crates
c. 20 crates
d. 10 crates

101. Which of the following is a translation of the
statement “Twice the sum of six and four”?
a. 2 + 6 + 4
b. 2 × 6 + 4
c. 2(6 + 4)
d. (2 × 6) × 4

102. Rashaard went fishing six days in the month of
June. He caught 11, 4, 0, 5, 4, and 6 fish respectively.
On the days that Rashaard fished, what
was his average catch?
a. 4 fish
b. 5 fish
c. 6 fish
d. 7 fish
Answer question 103 on the basis of the following
paragraph.
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.

103. A customer’s first bill after having cable television
installed totaled $112.50. This customer
chose basic cable and one additional cable
service.Which additional service was chosen?
a. the news channels
b. the movie channels
c. the arts channels
d. the sports channels

104. An Army food supply truck can carry 3 tons. A
breakfast ration weighs 12 ounces, and the
other two daily meals weigh 18 ounces each.
Assuming each soldier gets 3 meals per day, on
a ten-day trip, how many soldiers can be supplied
by one truck?
a. 100 soldiers
b. 150 soldiers
c. 200 soldiers
d. 320 soldiers

105. Meda arrived at work at 8:14 A.M. and Kirstin
arrived at 9:12 A.M. How long had Meda been
at work when Kirstin got there?
a. 1 hour 8 minutes
b. 1 hour 2 minutes
c. 58 minutes
d. 30 minutes

106. A clerk can process 26 forms per hour. If 5,600
forms must be processed in an 8-hour day, how
many clerks must you hire for that day?
a. 24 clerks
b. 25 clerks
c. 26 clerks
d. 27 clerks

107. How many different meals can be ordered
from a restaurant if there is 3 choices of soup, 5
choices of entrées and 2 choices of dessert if a
meal consists of a soup, entrée, and dessert?
a. 10
b. 15
c. 30
d. 60

108. Which of the following best represents the following
sentence? Rachel (R) had three apples
and ate one.
a. R = 3 – 1
b. 3 – 2 = R
c. R = 3 × 2
d. 3R – 2

109. A uniform requires 4 square yards of cloth. To
produce uniforms for 84,720 troops, how
much cloth is required?
a. 21,180 square yards
b. 21,880 square yards
c. 338,880 square yards
d. 340,880 square yards

110. Marty left his workplace at 5:16 P.M. on Thursday
and returned at 7:58 A.M. on Friday. How
much time elapsed between the time Marty left
work on Thursday to the time he returned on
Friday?
a. 2 hours 42 minutes
b. 13 hours 42 minutes
c. 14 hours 42 minutes
d. 14 hours 52 minutes

111. Evaluate the expression: | −14 | + −5 =
a. −19
b. 19
c. 9
d. −9

112. The cost of a certain type of fruit is displayed
in the following table.
Weight (in lbs) Cost (in dollars)
4 lbs $1.10
5 lbs $1.74
Based on the table, estimate the cost for 4 lbs. 8
oz. of the same type of fruit.
a. $1.24
b. $1.32
c. $1.35
d. $1.42

Answers:
97. a. To arrive at the answer quickly, begin by
rounding off the numbers, and you will see
that choice a is less than 600 pounds, whereas
choices b, c, and d are all over 600 pounds.

98. b. Take the number of classroom hours and
divide by the number of courses: 48 ÷ 3 = 16
hours per course. Now multiply the number of
hours taught for one course by the pay per
hour: 16 × $35 = $560.

99. b. Carmella worked 15 hours per week for 8
weeks: 15 × 8 = 120. In addition, she worked
15 hours for Mariah for one week, so: 120 + 15
= 135.

100. c. Divide the amount of cod by the number of
crates: 400 ÷ 20 = 20.

101. c. Take apart the statement and translate each
part. The word “Twice” tells you to multiply
the quantity by two. In the second part of the
statement, the word sum is a key word for
addition. So “the sum of six and four” is translated
to 6 + 4. Putting the statement together
becomes 2(6 + 4).

102. b. The average is the sum divided by the number
of observations: (11 + 4 + 0 + 5 + 4 + 6) ÷
6 = 5.

103. a. The labor fee ($25) plus the deposit ($65)
plus the basic service ($15) equals $105. The
difference between the total bill, $112.50, and
$105 is $7.50, the cost of the news channels.

104. c. 3 tons = 6,000 pounds; 6,000 pounds × 16
ounces per pound = 96,000 ounces that can be
carried by the truck. The total weight of each
daily ration is: 12 ounces + 18 ounces + 18
ounces = 48 ounces per soldier per day; 96,000
÷ 48 = 2,000; 2,000 ÷ 10 days = 200 soldiers
supplied.

105. c. Between 8:14 and 9:00, 46 minutes elapse,
and between 9:00 and 9:12, 12 minutes
elapse, so this is a simple addition problem:
46 + 12 = 58.

106. d. Begin by multiplying to find out how many
forms one clerk can process in a day: 26 forms
× 8 hours = 208 forms per day per clerk. Now
find the number of clerks needed by dividing:
5,600 ÷ 208 = 26.9. Since you can’t hire 0.9 of a
clerk, you have to hire 27 clerks for the day.

107. c. The Counting Principle shows the number
of ways an event can occur and tells you to
take the total choices for each item and multiply
them together; 3 × 5 × 2 = 30.

108. a. This answer is in the correct order and is
“translated” correctly: Rachel had (=) 3 apples
and ate (−) 1.

109. c. This is a multiplication problem: 84,720
troops × 4 square yards of cloth equals 338,880
square yards of cloth required. (If you chose
answer a, you mistakenly divided.)

110. c. From 5:16 P.M. to 7:16 A.M. the next day is
14 hours. An additional 42 minutes occurs
between 7:16 A.M. and 7:58 A.M; (58 – 16 = 42).

111. c. The bars on either side of –14 indicate the
absolute value of –14. The absolute value of a
number is its distance away from zero on a
number line, and in this case, is 14. Therefore
14 + –5 = 9. Since the signs are different, subtract
and keep the sign of the larger number.

112. d. According to the table, a pound in weight
makes a difference of $.64, or $.04 per ounce
over 4 pounds. Fruit that weighs 4 pounds 8
ounces will cost 8 × .04 or $.32 more than fruit
that costs 4 pounds. Therefore, the cost is
$1.10 + 0.32 = $1.42.