Arithmetic Reasoning Flashcards
- Fifteen percent (15%) is the standard rate for tipping waitpersons in U.S. restaurants. If
the bill for a meal totals $18.53, how much should the tip be?
A. $18.50
B. $2.78
C. $1.85
D. $2.77
E. $27.80
B. $2.78
Convert the percentage to a decimal and multiply by the total cost of the meal; round to the nearest tenth:
.15 X 18.53 = 2.7795 = $2.78
- A cook prepared a total of 50 hot dogs and hamburgers for his customers. Half of the hot
dogs were eaten; 10 were leftover. How many hamburgers were prepared?
A. 10
B. 25
C. 5
D. 30
E. 20
D. 30
Convert the word problem into an equation:
20 hotdogs + X hamburgers = 50 items
20 + x = 50
x = 50-20
x = 30 hamburgers
- One third can be expressed as which of the following ratios?
A. 0
B. 33:11
C. 3:1
D. 1:1
E. 11:33
E. 11:33
Convert the fraction to a ratio and find its equivalent:
1:3 = 11:33
- A cadet spent three days studying for the Arithmetic Knowledge section of the AFOQT, two days studying vocabulary for the Word Knowledge section, and a total of
six days studying for the Physical Science section. What percentage of study time did the cadet spend preparing for the Word
Knowledge section?
A. .48%
B. 83%
C. 18%
D. 26%
E. 28%
C. 18%
Add the number of days spent studying each section to find the total number of days spent studying for the exam:
3 + 2 + 6 = 11 total study days
Divide the number of days spent studying for the Word Knowledge section by the total number of
days spent studying to determine the percentage of time spent on the Word Knowledge section:
2 ÷ 11 = .18 = 18%
- If a broken water line is leaking 3 quarts of water every minute, how many gallons of water will be lost in one day?
A. 360
B. 1,080
C. 5,000
D. 36,000
E. 108,000
B. 1,080
Multiply 3 quarts by the total number of minutes in a day to determine the number of quarts leaked per day. Divide the answer by four to convert
quarts to gallons:
3 X 1,440 = 4,320
4.320 ÷ 4 = 1,080 gallons
- You are considering a short-term job that pays $10.75/hr. for a 40-hour work week and 1.5 times the base pay for any overtime. How
much would you earn in a month if you worked 48 hours a week?
A. $2236.00
B. $2064.00
C. $774.00
D. $559.00
E. $516.00
A. $2236.00
Calculate earnings for a 40 hour work week at the base rate:
$10.75 X 40 = $430.00
Multiple the base rate by 1.5 to determine the overtime rate and calculate overtime earnings:
$10.75 X 1.5 = $16.125/hr
$16.125 X 8 = $129.00
Combine the base and overtime earnings:
$430.00 + $129.00 = $559.00
- The population of Centerville has
increased from 350,000 to 500,000 people in the last ten years. On average, the population increases by how many people each year?
A. 1000
B. 10,000
C. 12,500
D. 15,000
E. 150,000
D. 15,000
Determine the total population increase for ten years and divide by ten to calculate the average
annual increase:
500,000 – 350,000 = 150,000
150,000 ÷ 10 = 15,000
- Tom and Alice left their home in separate vehicles at the exact same time. Tom arrived at their destination in 28 minutes and 32
seconds. Alice arrived in 32 minutes and 28 seconds. What was the difference in driving time?
A. 4 minutes and 0 seconds
B. 4 minutes and 4 seconds
C. 3 minutes and 4 seconds
D. 3 minutes and 54 seconds
E. 3 minutes and 56 seconds
E. 3 minutes and 56 seconds
Convert both drivers’ times to seconds and subtract the totals to determine the difference in driving times:
Tom: (28 x 60)+32 = 1712
Alice: (32 x 60)+28 = 1948
1948 – 1712 = 236 seconds
Convert back to minutes and remaining seconds:
236 ÷ 60 = 3.93 minutes
.93(60) = 56 seconds
3.93 minutes = 3 minutes and 56 seconds
- Maria collects $150 for office party supplies. If she spends $5 on drinks, $50 on food, $25 on decorations, and $2 each on 15
party favors, how much money will she have left?
A. $46
B. $40
C. $36
D. $30
E. none
B. $40
Calculate the amount of money that Maria spent:
$5 + $50 + $25 + $2(15)
$80 + $30 = $110 spent
Subtract the answer from the amount collected:
$150 – $110 = $40.00 remaining
- One-third (1/3) of the students in John’s history class are seniors and 2/3rd are juniors. There are 28 students, and 4/7th are female.
How many are male?
A. 21
B. 4
C. 5
D. 16
E. 12
E. 12
Calculate 4/7ths of the total number of student to determine how many are female:
(4/7)(28) = 16
Subtract the number of students who are female from the total number in the class to determine how many are male:
28 – 16= 12
- Sarah will spend 3/4ths of her workday writing a report. If she is at work for 91⁄2 hours, how many whole hours will she spend on the
report?
A. 1
B. 9
C. 6
D. 8
E. 7
E. 7
Convert all fractions to decimals and multiply the amount of time spent on the report by the total amount of time at work:
.75(9.5) = 7.125 hours
- How many quarts are in 15 gallons?
A. 60 qt.
B. 40 qt.
C. 4 qt.
D. 12 qt.
E. 80 qt.
A. 60 qt.
Given four quarts to every gallon:
4 x 15 = 60 quarts
- Convert 8 meters to feet and round to the
nearest foot.
A. 2 ft.
B. 3 ft.
C. 25 ft.
D. 26 ft.
E. 27 ft.
D. 26 ft.
Given 3.28 feet in every meter:
3.28 X 8 = 26.24 feet, or 26 ft.
- If three sandwiches and two small salads cost $26.50 and each sandwich cost $6.50, how much does a small salad cost?
A. $0
B. $1.50
C. $3.00
D. $3.50
E. $6.50
D. $3.50
Multiply the cost of each sandwich by the number purchased to determine the total amount of money spent on sandwiches:
$6.50 X 3 = $19.50
Subtract the total amount spent on sandwiches from $26.50 to determine the total amount of
money spent on salads; divide by the number of salads purchased to determine the price of each:
$26.50 – $19.50 = $7.00
$7.00 ÷ 2 = $3.50
- Nate is planning a garden with rectangular raised beds measuring 5ft long by 2ft wide. He will line both sides of his driveway with flower
beds. If his driveway is 35ft long by 12ft wide, how many raised beds will he need to build?
A. 14
B. 10.5
C. 7.5
D. 7
E. 5
A. 14
Divide the length of the driveway by the length of each raised bed to determine how many will fit
along one side; multiply by two to calculate how many will be needed for both sides:
35 ÷ 5 = 7 beds per side
7 X 2 = 14 beds total
