Work Keys
Test Prep
Name: ______________________________________
Applied Mathematics Formula Sheet
Distance
1 foot = 12 inches
1 yard = 3 feet
1 mile = 5,280 feet
1 mile ≈ 1.62 kilometers
1 inch = 2.54 centimeters
1 foot = 0.3048 meters
1 meter = 1,000 millimeters
1 meter = 100 centimeters
1 kilometer = 1,000 meters
1 kilometer ≈ 0.62 miles
Area
1 square foot = 144 square inches
1 square yard = 9 square feet
1 acre = 43,560 square feet
Volume
1 cup = 8 fluid ounces
1 quart = 4 cups
1 gallon = 4 quarts
1 gallon = 231 cubic inches
1 liter ≈ 0.264 gallons
1 cubic foot = 1,728 cubic inches
1 cubic yard = 27 cubic inches
1 board foot = 1 inch by 12 inches by 12 inches
Weight/Mass
1 ounce ≈ 28.350 grams
1 pound = 16 ounces
1 pound ≈ 453.592 grams
1 milligram -= 0.001 grams
1 kilogram = 1,000 grams
1 kilogram ≈ 2.2 pounds
1 ton = 2,000 pounds
Rectangle
Perimeter = 2(length + width)
Area = length x width
Rectangular Solid (Box)
Volume = length x width x height
Cube
Volume = (length of side)3
Triangle
Sum of angles = 180°
1
Area = 2(base x height)
Circle
Number of degrees in a circle = 360°
Circumference = 3.14 x diameter
Area = 3.14 x (radius)2
Cylinder
Volume ≈ 3.14 x (radius)2 x height
Cone
1
Volume ≈ 3(3.14 x (radius)2 x height)
Sphere (Ball)
4
Volume ≈ 3 x 3.14 x (radius)3
Electricity
1 kilowatt-hour = 1,000 watt-hours
Amps = watts ÷ volts
Temperature
5
°C = 0.56(°F – 32) or 9(°F – 32)
9
°F = 1.8(°C) + 32 or ( 5 x °C) + 32
Note: Problems on the WorkKeys Applied Mathematics assessment should be worked using the formulas
and conversions on this formula sheet
Level 3 WorkKeys
Individuals with Level 3 skills can set up and solve problems with a single type of mathematical operation
(addition, subtraction, multiplication or division) on whole numbers, fractions, decimals, or percentages.
1. Which number is the best estimate of the product 48 x 54?
a.
b.
c.
d.
e.
2000
2500
3000
3500
4000
2. If a plane traveled at a rate of 500 miles per hour for 8 hours, how many miles did it travel?
a.
b.
c.
d.
e.
62
508
4,000
4,500
40,000
3. If Danny cut 24 centimeters from a piece of wood 130 centimeters long, how long was the piece left?
a.
b.
c.
d.
e.
5
96
102
106
154
4. John bought a computer. He made a down payment of $68 and paid $65 for 15 months. What was the
total amount that he paid for the computer?
a.
b.
c.
d.
e.
$965
$975
$1,043
$1,365
$1,965
5. If 6 cans of juice cost $0.96, what is the cost of 7 cans?
a.
b.
c.
d.
e.
$0.16
$0.96
$1.12
$1.13
$6.72
6. In your job as a cashier, a customer gives you $20 to pay for 3 notebooks that cost $1.59 each. How
much change should you give back?
a.
b.
c.
d.
e.
$4.77
$14.23
$15.23
$15.33
$16.33
7. Which decimal has the smallest value?
a.
b.
c.
d.
e.
0.1
0.12
0.123
0.1234
0.12345
8. A phone company charges its customers the following rates for long-distance phone calls:
$1.50 for the first 3 minutes
$0.45 for each additional minute
What is the cost of a 7-minute long-distance phone call under this plan?
a.
b.
c.
d.
e.
$1.80
$1.95
$3.30
$3.50
$4.50
9. Melissa needs $240 to buy a stereo. She has $65. If she saves $15 per week, what is the least number of
weeks it will take her to save the money?
a.
b.
c.
d.
e.
11
12
13
14
15
10. Which two fractions are equivalent?
a.
b.
c.
d.
e.
3
4
4
8
4
8
2
5
1
3
𝑎𝑛𝑑
𝑎𝑛𝑑
𝑎𝑛𝑑
𝑎𝑛𝑑
𝑎𝑛𝑑
9
12
1
4
20
36
3
4
2
9
11. You work at a fruit market. Bananas cost $0.50 a pound. A customer hands you a bunch of bananas
that weighs 3 pounds. How much should you charge for the bunch of bananas?
a.
b.
c.
d.
e.
$0.17
$0.50
$0.53
$1.50
$3.50
12. To make curtains for a living room window for a customer, you will need three pieces of fabric in the
following lengths: 3 feet, 3 feet, and 5 feet. What is the total length of fabric you will need?
a.
b.
c.
d.
e.
8 feet
11 feet
14 feet
30 feet
45 feet
13. You sell pies at a farmers’ market for $7.50 each. A group of 5 kids wants to pitch in equally to share
one of your pies. How much will each of them need to pay to buy a whole pie together?
a.
b.
c.
d.
e.
Answers
1. B
2. C
3. D
4. C
$0.75
$1.50
$2.50
$3.75
$7.50
5. C
6. C
7. A
8. C
9. B
10. A
11. D
12. B
13. B
Level 4 WorkKeys
Individuals with Level 4 skills can set up and solve problems with one or two different mathematical
operation (addition, subtraction, multiplication or division) on whole numbers, fractions, decimals, or
percentages.
1. Three is 50% of what number?
a.
b.
c.
d.
e.
1.5
3
6
15
100
2. The regular price of a jacket is $80. If Adam buys it at 10% below the regular price, what is the sale
price?
a.
b.
c.
d.
e.
$72
$88
$90
$80
$70
3. The scale on a map is 1 inch = 5 miles. You want to draw a circle representing all points 25 miles away
from your home. The circle should have a radius of
a.
b.
c.
d.
e.
1
in.
5 in.
10 in.
25 in.
125 in.
5
4. Mr. Smith agreed to pay $1,500 down and $120 a month for 8 months for his college tuition. What was
the total price of his tuition?
a.
b.
c.
d.
e.
$840
$960
$1,620
$2,460
$2,560
5. John visits customers when he is not at the office. John worked 8 ½ hours today. He spent 2 ¼ hours of
his workday at the office. How much time did he spend visiting customers?
a.
b.
c.
d.
e.
5 ¼ hours
5 ¾ hours
6 ¼ hours
6 ¾ hours
10 ¾ hours
6. You have 10 yards of material. If you use 4 ¼ yards to cover a chair, how many yards do you have left?
a.
b.
c.
d.
e.
5¼
5¾
6¼
6¾
14 ¼
7. You earn $5 per hour for the first forty hours you work per week and $10.50 per hour for each hour over
forty hours. How much will you earn in a week in which you worked 50 hours?
a.
b.
c.
d.
e.
$250
$252.50
$305
$470
$525
2
8. The distance around a racetrack is 3 of a mile. How many laps must you run around the track if you want
to run six miles?
a.
b.
c.
d.
e.
2
4
6
9
12
9. If a wooden board 12 ¼ feet long is cut into seven equal pieces, how long will each piece be?
2
a. 1 7 ft
4
b. 1 7 ft
3
c. 1 4 ft
d. 2 ft
1
e. 3 2 ft
10. Mr. Packer has 7 ½ pounds of cheese that he wants to put into ¾ pound packages. How many packages
can he make?
a.
b.
c.
d.
e.
4
6
8
10
12
11. You are a receptionist at a doctor’s office. A patient’s bill for a checkup totals $85.00. The patient’s
health insurance requires the patient to pay 20% of the total bill. How much should the patient pay for
the checkup?
a.
b.
c.
d.
e.
$4.25
$8.50
$17.00
$42.50
$68.00
12. You are scheduling a new delivery route and you need to find out how long it will take the driver to
complete the route. You start the route at 9:50 am and finish at 2:05 pm. How long does it take to
drive the route?
a.
b.
c.
d.
e.
4 hours and 15 minutes
4 hours and 55 minutes
5 hours and 15 minutes
5 hours and 45 minutes
7 hours and 45 minutes
13. As a bowling instructor, you figure your students’ averages during tournaments. In 5 games, one
bowler had the following scores: 143, 156, 172, 133, and 167. What was the bowler’s average?
a.
b.
c.
d.
e.
Answers
1. C
2. A
3. B
4. D
147
153
154
156
161
5. C
6. B
7. C
8. D
9. C
10. D
11. C
12. A
13. C
Level 5 WorkKeys
Individuals with Level 5 skills can set up and solve problems with several steps of logic and calculation
involving mixture of whole numbers, fractions, decimals, or percentages.
1. 6 gal = _______________
a.
b.
c.
d.
e.
8 qt
12 qt
16 qt
20 qt
24 qt
2. 96 oz = ______________
a.
b.
c.
d.
e.
4 lb 7 oz
5 lb
5 lb 2 oz
6 lb
8 lb
3. Which unit is used to measure the capacity of a container filled with orange juice?
a.
b.
c.
d.
e.
meter
gram
inch
liter
foot
4. Max is saving for his trip to Japan. Right now he has $125.00. How much does he have if he converts it to
Japanese yen? ($1 = 120.29 yen)
a.
b.
c.
d.
e.
1.04 yen
4.71 yen
245.29 yen
14,911.25 yen
15,036.25 yen
5. You are paying a crew of three men $15 per hour each to landscape a yard. If they each work 12 hours
and 45 minutes, how much will the labor costs be for the job?
a.
b.
c.
d.
e.
$186.75
$191.25
$560.25
$573.75
$873.75
6. In your job with the transportation department, you need to paint a solid traffic line that is 2 ½ miles
long. Each gallon of paint will cover 1,250 feet. How many gallons of paint will you need to purchase?
a.
b.
c.
d.
e.
7
8
9
10
11
7. You tipped your server $2.80 on a $35 restaurant bill. What percentage of a tip did you leave?
a.
b.
c.
d.
e.
0.08%
0.5%
5%
8%
12%
8. A baseball team had a season record of 20-5. What was the teams percentage of games won?
a.
b.
c.
d.
e.
20%
25%
40%
75%
80%
9. You want to buy a painting that is advertised at 35% off. If the original price of the painting is $750, what
is the sale price?
a.
b.
c.
d.
e.
$262.50
$362.50
$387.50
$400.00
487.50
10. The length of a rectangle is 7 ½ feet. The length of the rectangle is 2 ½ times the width. Find the
perimeter of the rectangle, in feet.
a.
b.
c.
d.
e.
10.5 ft
21 ft
26.25 ft
52.5 ft
140.63 ft
11. As a laboratory assistant, you measure chemicals using the metric system. For your current research,
you need to measure out 45 grams of sodium chloride. The bottle you are using lists the amount in
ounces. About how many ounces of sodium chloride will you need?
a.
b.
c.
d.
e.
0.1
1.6
28.4
720.0
1,275.8
3
9
12. You are making a welding fixture and must cut down a length of steel tubing from 19 8 inches to 11 16
1
inches. When you cut the tubing, you will waste 16 inch of it because of the width of the saw cut. If the
leftover piece is long enough, you will use it in another fixture. How long will this leftover piece be?
3
a. 7 4
11
b. 7 16
7
c. 7 8
1
d. 8 4
3
e. 8 4
13. You are doing marketing research to find out the purchasing potential of students in the community.
Based on the latest census, there are 9,860 students in a population of 62,400 people. Students make
up what percent of the total population?
a.
b.
c.
d.
e.
Answers
1. E
2. D
3. D
4. E
6.3
7.3
15.8
52.5
84.2
5. D
6. E
7. D
8. E
9. E
10. B
11. B
12. A
13. C
Level 6 WorkKeys
Individuals with Level 6 skills can set up and solve problems containing unnecessary information and
requiring multiple steps. Calculations involve a mixture of whole numbers, fractions, decimals, or
percentages.
1. Mary bikes three miles every day to school and another three miles to go home. On weekends, she bikes
an average of twenty miles for pleasure. How many miles will she bike in twelve school days plus two
weekends?
a.
b.
c.
d.
e.
76 mi
92 mi
102 mi
112 mi
115 mi
2. The total cost, C, for making a long distance phone call is $0.90 for the first minute and $0.50 for each
additional minute. Which of the following represents the total cost for making a long distance phone call
for x minutes?
a.
b.
c.
d.
e.
C = $0.90 + $0.50
C = ($0.50 + $0.90)x
C = $0.50(x – 1) + $0.90
C = $0.50($0.90)x
C = $0.90x + 0.50y
3. A cube with edges of length 6 cm was cut into four equal parts. What is the volume of one of the parts?
a.
b.
c.
d.
e.
45 cm3
50 cm3
54 cm3
60 cm3
64 cm3
1
4. John can run around his block in 20 of an hour. How many minutes does it take to run around the block?
a.
b.
c.
d.
e.
1
2
3
5
12
5. The formula for the surface are of as sphere is 𝑆 = 4𝜋𝑟 2 . What is the surface area of a sphere with a
diameter of 10 inches? Use 𝜋 ≈ 3.14.
a.
b.
c.
d.
e.
250 in2
314 in2
714 in2
1,000 in2
1,256 in2
6. Five Friends have a checker tournament. How many games must be played so that each one plays each
other once?
a.
b.
c.
d.
e.
5 games
8 games
10 games
15 games
21 games
7. In a survey, 5 out of every 8 people said they floss their teeth after eating dinner. If 2,000 people were
surveyed, how many said they floss their teeth after dinner?
a.
b.
c.
d.
e.
1,250
1,350
1,500
1,800
2,400
8. At the beginning of the day, there were 60 sailboats out on the lake. The rain came, and all the boats left
except 3. What percentage of sailboats remain from the morning?
a.
b.
c.
d.
e.
3.3%
5%
6.6%
8%
97%
9. On average, married couples in the United States have 2.2 children. If there are 200,000 married
couples, how many children should these couples produce?
a.
b.
c.
d.
e.
40,400
330,000
420,000
440,000
660,000
10. What is the ratio of the area of a circle to its circumference?
a.
b.
c.
d.
e.
𝜋
𝑟
2
𝑟
𝑟
2
𝑟
𝜋
2𝜋
𝑟
11. You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On
average, each individual picture takes 3 minutes and a class picture takes 10 minutes. About how long
should it take you to get all of the pictures?
a.
b.
c.
d.
e.
1 hour 3 minutes
1 hour 13 minutes
2 hours 6 minutes
2 hours 16 minutes
2 hours 26 minutes
12. You are applying fertilizer to a football field. The field is 360 feet long and 160 feet wide. You use 8
pounds of fertilizer per 1,000 square feet. The fertilizer comes in 50-pound bags. How many bags of
fertilizer will you need to complete the job?
a.
b.
c.
d.
e.
6
7
8
9
10
13. At Appliance City, you sold a refrigerator to a customer for $369.00. Appliance City advertises that if a
customer finds the exact same refrigerator anywhere else for a lower price, they will give a refund
equal to 150% of the price difference. The customer returns with a Kitchen Stuff Inc. ad that shows the
same refrigerator for $335.00. After you give the advertised refund to the customer, what is the
customer’s final cost?
a.
b.
c.
d.
e.
$51.00
$219.00
$318.00
$335.00
$364.00
Answers
1. D
2. C
3. C
4. C
5. B
6. C
7. A
8. B
9. D
10. C
11. E
12. E
13. C
Level 7 WorkKeys
Individuals with Level 6 skills can set up and solve complex problems requiring extensive calculations. They
can calculate rate of change, set up and manipulate complex ratios and proportions, find multiple areas or
volumes of two- and three-dimensional shapes, find the best economic value of several alternatives, and
locate errors in multiple-step calculations.
1. A jar contains three blue marbles, two white marbles, and five red marbles. If one marble is chosen at
random, what is the probability that it is a blue marble?
a.
b.
c.
d.
e.
20%
30%
50%
70%
80%
2. Angela had 4 tests in math and her scores were: 64, 70, 80, and 95. What score must she get on her next
test to raise her average to an 81?
a.
b.
c.
d.
e.
81
84
85
90
95
3. How many square feet are in 9 square yards?
a.
b.
c.
d.
e.
27
54
81
90
243
4. A man, 6 feet tall, casts a shadow 10 feet long. How tall is a building if, at the same time, it casts a
shadow 120 feet long?
a.
b.
c.
d.
e.
72 feet
90 feet
100 feet
150 feet
200 feet
5. Bill made 22 out of 26 field goals this season. Which expression could be used to find the percent n of
field goals that Bill made during the season?
a.
b.
c.
d.
e.
22 26

100 n
22
n

26 100
26
n

22 100
4
n

22 26
26 n

10 22
6. A picture frame measures 20 inches wide and 28 inches long. If the opening for the picture is 18 inches
wide and 26 inches long, which expression represents the area of the frame in square inches?
a. 20  18 
b.
c.
d.
e.
28  26
20  18 
26  28 
28 20  26 18
2
2
 28  18 
28 20  26  18
7. A deli sells 176 roast beef sandwiches. How many pounds of roast beef are needed if it takes ¼ pound to
make each sandwich?
a.
b.
c.
d.
e.
40
44
46
53
66
8. Arlene bought a 9 pound watermelon for $3.66. At this rate, how much would a 6 pound watermelon
cost?
a.
b.
c.
d.
e.
$1.66
$2.33
$2.44
$2.78
$3.23
9. You are preparing to tile the floor of a rectangular room that is 15 ½ feet by 18 ½ feet in size. The tiles
you plan to use are square, measuring 12 inches on each side, and are sold in boxes that contain enough
tile to cover 25 square feet. How many boxes of tiles must you order to complete the job?
a.
b.
c.
d.
e.
1
12
34
59
287
10. The farm where you just started working has a vertical cylindrical oil tank that is 2.5 feet across inside.
The depth of the oil tank is 2 feet. If 1 cubic foot of space holds 7.48 gallons, about how many gallons
of oil are left in the tank?
a.
b.
c.
d.
e.
37
59
73
230
294
11. You are an urban planner assessing the growth of a city. Ten years ago, the city’s population was
249,583. Its current population is 318,270. By about what percentage has the city grown over the past
ten years?
a.
b.
c.
d.
e.
13%
22%
28%
69%
78%
12. You are comparing prices from 2 office supply stores. Your office needs 5 cases of blue paper. Home &
Office Headquarters lists a case of paper at $25.85 with a 10% discount on an order of 5 cases or more.
Office Supplies R Us lists a case of paper at $27.36 with a 15% discount on 5 cases or more. Delivery
costs from Home & Office Headquarters are $2.50 per case. Office Supplies R Us will deliver for $10 an
order. What is the least amount that you would have to spend for the paper?
a.
b.
c.
d.
e.
$23.26
$33.26
$71.80
$126.28
$141.75
13. To complete bookshelves, a customer at your store needs to purchase vertical brackets to attach to the
wall. The customer wants the shelving to be 9 feet tall (vertically) and 10 feet long (horizontally). The
wall brackets come in 48-inch and 60-inch sections. The 48-inch sections cost $12.95; the 60-inch
sections cost $16.95. The brackets should be placed 1 foot from each end and no more than 24 inches
apart. Before tax is added, what will be the total cost of the brackets the customer will need?
a.
b.
c.
d.
e.
Answers
1. B
2. E
3. C
4. A
$89.70
$119.60
$129.50
$149.50
$179.40
5. B
6. C
7. B
8. C
9. B
10. C
11. C
12. D
13. D