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Applied Math

(Answers Included) 2nd Edition

Preparation for achieving the Silver National Career Readiness Certificate

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Table of Contents Applied Math Conversion Chart.............................................................................................................................7

Unit I

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Unit I Introduction..................................................................................................................................................9 Unit I Initial Assessment........................................................................................................................................11 Lesson 1: Addition...............................................................................................................................................15 Lesson 2: Subtraction...........................................................................................................................................33 Lesson 3: Equations.............................................................................................................................................59 Lesson 4: Addition and Subtraction.......................................................................................................................61 Lesson 5: Adding and Subtracting Negative Numbers.............................................................................................83 Lesson 6: Multiplication........................................................................................................................................95 Lesson 7: Addition, Subtraction, and Multiplication...............................................................................................113 Lesson 8: Division..............................................................................................................................................131 Lesson 9: Addition, Subtraction, Multiplication, and Division..................................................................................147 Lesson 10: Multiplying and Dividing Negative Numbers........................................................................................163 Lesson 11: Fractions..........................................................................................................................................177 Lesson 12: Decimals..........................................................................................................................................187 Lesson 13: Converting Fractions into Decimals......................................................................................................201 Lesson 14: Percentages......................................................................................................................................217 Lesson 15: Decimals and Money.........................................................................................................................241 Lesson 16: Time................................................................................................................................................257 Lesson 17: Unit I Overview.................................................................................................................................277

Unit II

Unit II Introduction.............................................................................................................................................291 Unit II Initial Assessment.....................................................................................................................................293 Lesson 18: Solving Using More than One Operation ............................................................................................297 Lesson 19: Averages..........................................................................................................................................315 Lesson 20: Multiplying Two Different Groups........................................................................................................333 Lesson 21: How Many Will It Take?.....................................................................................................................357 Lesson 22: Adding Fractions...............................................................................................................................369 Lesson 23: Improper Fractions and Mixed Numbers..............................................................................................387 Lesson 24: Multiplying Fractions..........................................................................................................................405 Lesson 25: Multiplying Mixed Numbers...............................................................................................................419 Lesson 26: Decimals and Percentages..................................................................................................................427 Lesson 27: Rates...............................................................................................................................................441 Lesson 28: Ratios..............................................................................................................................................449 Lesson 29: Conversions......................................................................................................................................455 Lesson 30: Adding Time.....................................................................................................................................465 Lesson 31: Area and Perimeter...........................................................................................................................483 Lesson 32: Graphs............................................................................................................................................495 Lesson 33: Converting Area...............................................................................................................................505 Lesson 34: Combining Area...............................................................................................................................515 Lesson 35: Volume of Solid Shapes......................................................................................................................525 Lesson 36: Surface Area of Solid Shapes.............................................................................................................537 Lesson 37: Unit II Overview................................................................................................................................547 Lesson 38: Test-Taking Tips..................................................................................................................................561 Practice Practice Practice Practice

Test Test Test Test

#1.................................................................................................................................................565 #1 Answer Explanations..................................................................................................................575 #2.................................................................................................................................................579 #2 Answer Explanations..................................................................................................................589

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Lesson 29

Conversions

In work and in life, you use different methods of counting up everything from time to sizes to money. You could measure how long it takes to drive to work in seconds, minutes, hours, or days. You could describe the distance between your house and your office in terms of inches, feet, or miles. Some ways you measure time and distance are more meaningful when you are talking about a small amount, while sometimes the reverse is true. If you take a 1,000 mile road trip, it probably wouldn’t make as much sense to say that you traveled over 63 million inches! When you are performing an operation like addition, you have to make sure that the things you are combining are describing the same thing before you combine the numbers.

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For example, if a truck driver drove for 1 day and 1 hour, you couldn’t say that he drove for 1 + 1 = 2 hours. Each day contains 24 hours. First, you would need to convert the days to hours, and then you could add. Each day is equal to 24 hours, so the setup should look like this instead: 24 + 1 = 25

The truck driver drove for 25 hours.

A formula shows the relationship between two ways of measuring things. It can tell you how many feet are in a mile or how many minutes are in an hour. Since the formulas describe how many of a certain item are in a group, you can use multiplication to count them up. Use the Applied Math conversion chart to answer questions that require you to do conversions from one measurement to another.

Take a look at an example problem:

Lesson 29 — Conversions • 455

Example You are a city planner. You are working on zoning 5 acres. What is the area of 5 acres, in square feet? You must look up acres in a conversion table to find out that each acre contains 43,560 square feet. Since you are combining 5 groups of 43,560, you will use multiplication. Set it up and use your calculator. Use your calculator.

43,560

5 x 43,560 = 217,800

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The area contains 217,800 square feet.

_____

In the next series of questions, you’ll practice converting measurements.

456 • Applied Math Unit II

Solve the problem Use the Applied Math conversion chart at the front of this book to find the conversion rates of the measurements. Use these rates to solve the following problems. Answer keys are at the end of this lesson. See page 462.

Solve By Converting

You and your friend are playing catch. You throw the ball to him when he is 34 feet away. How many inches did the ball travel when you threw it to your friend? A. 402

B. 27

C. 29

B. 25,400

C. 25,800

D. 26,000

E. 26,400

B. 34.92

C. 35.42

D. 35.56

E. 36.62

SA B. 450

C. 475

D. 500

E. 525

You are swimming in your neighborhood pool. You are swimming laps of 148 feet. To the nearest tenth, how many meters are these laps? A. 43.8

E. 33

You keep 125 gallons of water in your basement in case of emergency. How many quarts of water is this? A. 425

D. 31

You are a toy wizard collector. You buy a totally rad 14-inch tall toy wizard with 26 points of articulation, a sweet staff, and a fireball. How many centimeters tall is the toy wizard? A. 34.78

E. 410

You are driving a really fast car. You drive 5 miles in 2 minutes. How many feet do you drive in this time? A. 25,200

D. 408

You and your friends are playing football. You catch the ball and you run it 9 yards before being tackled. How many feet did you run the ball? A. 25

C. 406

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B. 404

B. 44.6

C. 45.1

D. 45.7

E. 46.3

You are a construction worker. You currently have 250 pounds of cement mix in the bed of your truck. How many ounces of cement mix is this? A. 3,800

B. 3,900

C. 4,000

D. 4,100

E. 4,200

Lesson 29 â&#x20AC;&#x201D; Conversions â&#x20AC;˘ 457

You are making lasagna, which calls for 2.5 cups of mozzarella cheese. How many ounces of mozzarella cheese is this? A. 12

B. 14

C. 16

D. 18

E. 20

You are having a party. You buy 128 fluid ounces of fruit punch for the party. How many cups of fruit punch would this make? A. 15

B. 16

C. 17

D. 18

E. 19

A. 7

B. 7.5

C. 8

10. The average elephant weighs about 15,000 pounds. How many tons does the average elephant weigh? D. 8.5

E. 9

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11. You are measuring your front yard. You determine that your front yard is 48 feet across. How many yards across is your front yard? A. 14

B. 15

C. 16

D. 17

E. 18

12. You are giving away 25 pounds of raw cookie dough for a charity event. To the nearest whole number, how many grams of raw cookie dough does this equal? A. 11,365

B. 11,450

C. 11,875

D. 11,950

E. 12,100

13. You have a 120-gallon aquarium in your living room. To the nearest whole number, how many liters does this aquarium contain? A. 450

B. 455

C. 460

D. 465

E. 470

14. Yesterday you rode your bicycle a total of 18 kilometers. To the nearest hundredth, how many miles did you ride on your bicycle? A. 10.48

B. 10.94

C. 11.18

D. 12.44

E. 12.84

15. You are running a race that has a track that measures 8.2 kilometers in length. How many meters long is the track? A. 6,800

B. 7,200

458 â&#x20AC;˘ Applied Math Unit II

C. 7,600

D. 8,000

E. 8,200

Some conversions can be a little more difficult to accomplish. Take a look at another example:

Example You work at a car factory. You are installing European brake pads, which are rated to stop a car travelling at 100 kilometers per hour within 12,500 centimeters. How many meters are in 12,500 centimeters?

Use your calculator.

100

_____

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12,500

The information about the car going 100 kilometers per hour is not necessary in order to solve the problem. You need to convert 12,500 centimeters to meters. Since 1 meter = 100 centimeters, you need to see how many groups of 100 centimeters go into 12,500 centimeters. You should therefore use division to solve it.

12,500 ÷ 100 = 125

You can convert 12,500 centimeters to 125 meters. That means that 125 meters are made up of 12,500 centimeters.

When you are converting from one unit to another, set an expectation that your final number will either increase or decrease. If you know that it takes 100 centimeters to have 1 meter, you should expect that conversion to cause a decrease. Likewise, converting 1 meter to 100 centimeters should cause an increase. If you don’t get what you expect, don’t be discouraged. Just check your work. Chances are you multiplied instead of dividing or divided instead of multiplying.

For example, if you had used multiplication as your operation when you were converting centimeters to meters, you would have ended up with 1,250,000 meters! This would have been way more than you expected.

Lesson 29 — Conversions • 459

Solve the problem In the next series of questions, you’ll need to figure out which operation to use before you do your conversion. Answer keys are at the end of this lesson. See page 463.

You are doing a chemistry experiment that calls for 124 grams of hydrochloric acid. To the nearest hundredth, how many pounds of hydrochloric acid would this be? A. 0.27

B. 5.75

C. 6

E. 6.5

B. 1,852.9

C. 1,901.4

D. 1,927.8

E. 1,935.3

B. 134.5

C. 136.7

D. 137.3

E. 141.7

SA B. 161.4

C. 163.5

D. 166.5

E. 169.2

If Superman can fly faster than a speeding bullet, it’s because he can fly faster than something that travels at 1,189 meters per second. To the nearest whole number, how fast is this in feet per second? A. 3,877

D. 6.25

You are sailing up the western coast of the United States. Today you sail 163,500 meters. What is this distance in kilometers? A. 160.3

E. 0.45

You are driving on the Autobahn in Germany. You drive 220 kilometers on the Autobahn. To the nearest tenth, how many miles do you drive? A. 132.5

D. 0.41

You are putting fertilizer on your lawn. You need 68 ounces of fertilizer to cover your lawn. How many grams of fertilizer is this? A. 1,817.4

C. 0.36

You are building a porch swing for your home. The seat portion of the swing is 69 inches long. How many feet long is the seat portion of the swing? A. 5.5

B. 0.33

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Solve By Converting II

B. 3,891

C. 3,901

D. 3,945

E. 3,978

You are catering a party. For the party, you supply 48 quarts of sparkling water. How many gallons of sparkling water is this? A. 11

B. 12

460 • Applied Math Unit II

C. 13

D. 14

E. 15

You are responsible for cooking the mashed potatoes at Thanksgiving. You buy a 200 ounce bag of potatoes. How many pounds of potatoes did you buy? A. 11.5

B. 12

C. 12.5

D. 13

E. 13.5

You are playing ultimate frisbee. You throw the frisbee to your friend who is 37 meters away. To the nearest whole number, how many feet are you throwing the frisbee? A. 120

B. 121

C. 122

D. 123

E. 124

A. 3.25

B. 3.5

C. 3.75

10. You are a painter. You use 15 cups of paint to make a large painting. How many quarts of paint did you use for this painting? D. 4

E. 4.25

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11. You are in charge of keeping marathon runners hydrated. You have brought 30 liters of water to your check point halfway through the marathon. How many gallons of water do you have at your checkpoint? A. 7.84

B. 7.92

C. 7.98

D. 8.02

E. 8.08

12. The average blue whale weighs about 170 tons. How many pounds does the average blue whale weigh? A. 335,000

B. 340,000

C. 345,000

D. 350,000

E. 355,000

13. You decide to measure the distance of one lap around your neighborhood. You determine that the distance is a total of 1,320 feet. How many miles is this? A. 0.25

B. 0.5

C. 0.75

D. 1

E. 1.25

14. You are measuring a refrigerator. You find that it has a height of 6.5 feet. What is the refrigerator’s height in inches? A. 74

B. 78

C. 82

D. 86

E. 90

15. You are trying to boost your calcium intake. Every day, you make sure to drink 3.5 quarts of milk. How many cups of milk do you drink every day? A. 11

B. 12

C. 13

D. 14

E. 15

Great Work!

Next, you will take a look at Adding Time.

Lesson 29 — Conversions • 461

Solve By Converting You have 34 feet. You want to convert to inches. The conversion chart says 1 foot = 12 inches. Multiply, 34 x 12 = 408 inches.

2. The answer is B.

You have 9 yards. You want to convert to feet. The conversion chart says 1 yard = 3 feet. Multiply, 3 x 9 = 27 feet.

3. The answer is E.

You have 5 miles. You want to convert to feet. The conversion chart says 1 mile = 5280 feet. Multiply, 5 x 5280 = 26400 feet.

4. The answer is D.

You have 14 inches. You want to convert to centimeters. The conversion chart says 1 inch = 2.54 centimeters. Multiply, 14 x 2.54 = 35.56 centimeters.

5. The answer is D.

You have 125 gallons. You want to convert to quarts. The conversion chart says 1 gallon = 4 quarts. Multiply, 125 x 4 = 500 quarts.

6. The answer is C.

You have 148 feet. You want to convert to meters. The conversion chart says 1 foot = 0.3048 meters. Multiply, 148 x 0.3048 = 45.1104 meters, which rounds to 45.1 meters.

7. The answer is C.

You have 250 pounds. You want to convert to ounces. The conversion chart says 1 pound = 16 ounces. Multiply, 250 x 16 = 4000 ounces.

8. The answer is E.

You have 2.5 cups. You want to convert to ounces. The conversion chart says 1 cup = 8 fluid ounces. Multiply, 2.5 x 8 = 20 ounces.

9. The answer is B.

You have 128 ounces. You want to convert to cups. The conversion chart says 1 cup = 8 ounces. Divide, 128 รท 8 = 16 cups.

10. The answer is B.

You have 15,000 pounds. You want to convert to tons. The conversion chart says 1 ton = 2000 pounds. Divide, 15000 รท 2000 = 7.5 tons.

11. The answer is C.

You have 48 feet. You want to convert to yards. The conversion chart says 1 yard = 3 feet. Divide, 48 รท 3 = 16 yards.

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1. The answer is D.

12. The answer is A.

You have 25 pounds. You want to convert to grams. The conversion chart says 1 pound = 454.592 grams. Multiply, 454.592 x 25 = 11364.8 grams, which rounds to 11365 grams.

13. The answer is B.

You have 120 gallons. You want to convert to liters. The conversion chart says 1 liter = 0.264 gallons. Divide, 120 รท 0.264 = 454.545 liters, which rounds to 455 liters.

14. The answer is C.

You have 18 kilometers. You want to convert to miles. The conversion chart says 1 mile = 1.61 kilometers. Divide, 18 รท 1.61 = 11.1801 miles, which rounds to 11.18 miles.

15. The answer is E.

You have 8.2 kilometers. You want to convert to meters. The conversion chart says 1 kilometer = 1000 meters. Multiply, 8.2 x 1000 = 8200 meters.

462 โ ข Applied Math Unit II

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Graphic Literacy (Answers Included) 2nd Edition

Preparation for achieving the Silver National Career Readiness Certificate

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ACT and WorkKeys are the registered trademarks of ACT, Inc. MasteryPrep has no affiliation with ACT, Inc., and the MasteryKeys program is not approved or endorsed by ACT, Inc. 速

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Table of Contents Introduction.............................................................................................. 7 Lesson 1: Reading a Form.......................................................................... 9 Lesson 2: Filling out a Form...................................................................... 19 Lesson 3: Reading a Table........................................................................ 29

Lesson 4: Reading a Bar Graph................................................................ 45 Lesson 5: Reading a Line Graph (with a Bar Graph).................................... 57 Lesson 6: Reading Diagrams, Maps, and Floor Plans................................... 69

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Lesson 7: Creating Figures....................................................................... 83

Lesson 8: Predictions............................................................................. 105 Lesson 9: Fill in the Blanks...................................................................... 125 Additional Practice................................................................................ 137 Conclusion........................................................................................... 265 Practice Test #1..................................................................................... 267 Practice Test #1 Answer Explanations...................................................... 311 Practice Test #2..................................................................................... 315

Practice Test #2 Answer Explanations...................................................... 359

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Lesson 6

Reading Diagrams, Maps, and Floor Plans The final category of information you’ll cover in this book may be the most challenging.

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A common way to provide information is to provide a visual representation of what is being discussed. A diagram, or picture, can be a complicated, lifelike image or a simple set of boxes and circles that are supposed to represent buildings. Diagrams, maps, and floor plans can unlock a seemingly complicated subject and make it easy to deal with.

Give an example of a diagram, map, or floor plan that helped you understand something.

___________________________________________________________________________________________ ___________________________________________________________________________________________ ___________________________________________________________________________________________

Give an example of a process or job that could be understood from a diagram. Explain why a diagram would be helpful.

___________________________________________________________________________________________

___________________________________________________________________________________________ ___________________________________________________________________________________________

Lesson 6 — Reading Diagrams, Maps,

and

Floor Plans • 69

The only way to learn how to understand diagrams is to practice using them. In this chapter, youâ&#x20AC;&#x2122;ll learn to understand a diagram and then get many opportunities to figure them out for yourself.

You are a new student at your school and are using the campus map to get around campus.

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Campus Green

Library

1. You are a new student at your school and are using the campus map shown above to get around campus. According to the campus map, Building A2 is directly connected to: Building Building Building Building Building

A1 and Building J. C and the Library. B and Building C. K and Building J. C and Building A1.

A. B. C. D. E.

70 â&#x20AC;˘ Graphic Literacy

First, focus on what information the question is asking you to locate.

You are a new student at your college and are using the campus map shown below to get around campus. According to the campus map, Building A2 is directly connected to...

You need to find what buildings are directly connected to A2. Find A2 on the map.

You are a new student at your school and are using the campus map to get around campus.

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Campus Green

Library

A2 has solid lines running to A1 and J. There is also a dotted line that runs from A2 to the Campus Green. The Campus Green is not mentioned in any of the answer choices, so the dotted line is probably not being asked about.

Find the answer choice that best fits the information you located. A. B. C. D. E.

Building A1 and Building J. Building C and the Library. Building B and Building C. Building K and Building J. Building C and Building A1.

Lesson 6 â&#x20AC;&#x201D; Reading Diagrams, Maps,

and

Floor Plans â&#x20AC;˘ 71

2. You are a new student at your school and are using the campus map shown below to get around campus. According to the campus map, Building J is directly connected to: A. B. C. D. E.

Building Building Building Building Building

A1 and Building B. B and the Library. B and Building K. K and Building A2. K and Building A1.

Focus on the information that the question wants you to find. 2.

You are a new student at your school and are using the campus map shown below to get around campus. According to the campus map, Building J is directly connected to...

You need to find what buildings have a direct connection to Building J on the map.

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A solid line connects J and K to A2.

You are a new student at your college and are using the campus map to get around campus.

Campus Green

Library

Find the answer choice that best fits the information that you found. A. B. C. D. E.

Building A1 and Building B. Building B and the Library. Building B and Building K. Building K and Building A2. Building K and Building A1.

Choice D is the best answer.

72 â&#x20AC;˘ Graphic Literacy

In the practice questions that follow, you will work through a series of questions that involve maps, diagrams, and layouts. Focus on each question being asked, then refer to the information provided to find the best answer choice.

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Of all of the question types, diagrams, charts, and maps provide the greatest variety. If you get stuck at any one diagram, don’t hesitate to get the help of a teacher or tutor. Working through the problems will help you master this problem type on the WorkKeys Graphic Literacy test.

Lesson 6 — Reading Diagrams, Maps,

and

Floor Plans • 73

1. You are a pool cleaner who has been hired to clean a pool in the neighborhood shown below. You are given directions by your client to go to the left-most house. Which address should you write down in your planner? A. 101 B. 102 C. 103 D. 104 E. 105

2. You are a pool cleaner who has been hired to clean a pool in the neighborhood shown below. You are given directions by your client to go to the second house from the right. Which address should you write down in your planner?

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A. 101 B. 102 C. 103 D. 104 E. 105

3. You are a pool cleaner who has been hired to clean a pool in the neighborhood shown below. You are given directions by your client to go to the right-most house. Which address should you write down in your planner? A. 101 B. 102 C. 103 D. 104 E. 105

You are a pool cleaner who has been hired to clean the pool in the neighborhood depicted below.

101

74 â&#x20AC;˘ Graphic Literacy

102

103

104

105

4. You work in a library. At the end of the day, you return misplaced books to the left-most shelf and the right-most shelf. Which shelves should you mark in the database? A. B. C. D. E.

A and E A and B B and E B and D C and D

5. You work in a library. At the end of the day, you return misplaced books to the middle shelf and the right-most shelf. Which shelves should you mark in the database?

B and D B and C C and D C and E D and E

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A. B. C. D. E.

6. You work in a library. At the end of the day, you return misplaced books to the second shelf from the left and the second shelf from the right. Which shelves should you mark in the database? A and B A and C B and D B and E C and E

You work at a library.

A. B. C. D. E.

Lesson 6 â&#x20AC;&#x201D; Reading Diagrams, Maps,

and

Floor Plans â&#x20AC;˘ 75

7. You are designing a website. The website hierarchy diagram below shows your initial site map. According to the diagram, which of the following does not fall under the marketing category? A. Copy writing B. Pay-per-click C. Set up D. Management E. Metrics 8. You are designing a website. The website hierarchy diagram below shows your initial site map. According to the diagram, under which category does database fall?

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A. Copy writing B. Mobile C. Graphic design D. Reporting E. Metrics

9. You are designing a website. The website hierarchy diagram below shows your initial site map. According to the diagram, under which category does pay-per-click fall? A. Website design B. Management C. Marketing D. Reporting E. Copy writing

Home

Graphic Design

Marketing

Copy writing

76 â&#x20AC;˘ Graphic Literacy

Reporting

Metrics

Pay-Per-Click

Set Up

Website Design

Management

Mobile

Database

A vernier caliper is a device used for the precise measurement of lengths of small objects. The position of the 0 tick mark on the ruler indicates where the length should begin to be read. The length ends where the 0 tick mark on the slide matches perfectly with the tick mark on the ruler. The tick marks on both rulers indicate a centimeter. 10. What is the measurement on the vernier scale below? 5 cm 10 cm 15 cm 20 cm 25 cm

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A. B. C. D. E.

11. What is the measurement on the vernier scale below? A. B. C. D. E.

20 22 24 26 28

cm cm cm cm cm

12. What is the measurement on the vernier scale below? 41 44 47 50 53

cm cm cm cm cm

A. B. C. D. E.

Lesson 6 â&#x20AC;&#x201D; Reading Diagrams, Maps,

and

Floor Plans â&#x20AC;˘ 77

13. What is the measurement on the vernier scale below? 1 3 5 7 9

cm cm cm cm cm

A. B. C. D. E.

14. What is the measurement on the vernier scale below?

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A. 26 cm B. 28 cm C. 30 cm D. 32 cm E. 34 cm

15. What is the measurement on the vernier scale below? 50 55 60 65 70

cm cm cm cm cm

A. B. C. D. E.

78 â&#x20AC;˘ Graphic Literacy

16. Visible light has a wavelength between 400nm and 700nm. The information below shows the wavelengths of various colors. You are shown a series of flashes from the following lights: light 2, light 6, and light 4. According to the information below, what were the colors of the light flashes? A. B. C. D. E.

Blue, red, yellow Blue, green, violet Violet, green, red Blue, blue, green Yellow, red, orange

Green, blue, yellow Green, red, orange Green, violet, yellow Red, green, blue Blue, yellow, orange

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A. B. C. D. E.

17. Visible light has a wavelength between 400nm and 700nm. The information below shows the wavelengths of various colors. You are shown a series of flashes from the following lights: light 1, light 3, and light 8. According to the information below, what were the colors of the light flashes?

18. Visible light has a wavelength between 400nm and 700nm. The information below shows the wavelengths of various colors. You are shown a series of flashes from the following lights: light 2, light 1, and light 5. According to the information below, what were the colors of the light flashes? Red, green, blue Red, green orange Violet, red, orange Violet, green, orange Violet, blue, blue

400 nm

Wavelength

Violet Blue

A. B. C. D. E.

Green

Yellow Orange Red 700 nm

Light Wavelength Code

Light Light Light Light

1 2 3 4

: : : :

498 437 451 667

Light Light Light Light

5 6 7 8

: : : :

592 548 632 565

Color Violet Blue Green Yellow Orange Red

Wavelength (nm) 400 - 450 450 - 490 490 - 560 560 - 590 590 - 635 635 - 700

Lesson 6 â&#x20AC;&#x201D; Reading Diagrams, Maps,

and

Floor Plans â&#x20AC;˘ 79

19. Visible light has a wavelength between 400nm and 700nm. The information below shows the wavelengths of various colors. You are shown a series of flashes from the following lights: light 1, light 6, and light 3. According to the information below, what were the colors of the light flashes? A. B. C. D. E.

Blue, green, red Green, green, blue Yellow, yellow, orange Red, blue, violet Violet, violet, red

Green, orange, orange Yellow, green, green Orange, red, blue Blue, green, red Red, yellow, red

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A. B. C. D. E.

20. Visible light has a wavelength between 400nm and 700nm. The information below shows the wavelengths of various colors. You are shown a series of flashes from the following lights: light 6, light 7, and light 5. According to the information below, what were the colors of the light flashes?

21. Visible light has a wavelength between 400nm and 700nm. The information below shows the wavelengths of various colors. You are shown a series of flashes from the following lights: light 8, light 6, and light 1. According to the information below, what were the colors of the light flashes? A. B. C. D. E.

Green, yellow, blue Blue, orange, blue Red, red, yellow Green green, violet Yellow, green, green

400 nm

Wavelength

Violet

Blue

Light Wavelength Code

Light Light Light Light

1 2 3 4

: : : :

498 437 451 667

80 â&#x20AC;˘ Graphic Literacy

Light Light Light Light

5 6 7 8

: : : :

592 548 632 565

Green Yellow Orange Red 700 nm

Color Violet Blue Green Yellow Orange Red

Wavelength (nm) 400 - 450 450 - 490 490 - 560 560 - 590 590 - 635 635 - 700

Answer Explanations Look at the picture and find the house that is all the way to the left. This is the house that you are supposed to go to. The address you should write down is 101.

2. The answer is D.

Look at the picture and find the house that is not all the way to the right, but the one next to it (second from the right). This is the house that you are supposed to go to. The address you should write down is 104.

3. The answer is E.

Look at the picture and find the house that is all the way to the right. This is the house that you are supposed to go to. The address you should write down is 105.

4. The answer is A.

Look at the picture and find the shelf that is all the way to the left and the shelf that is all the way to the right. These are the shelves that you will return the misplaced books to. These are shelves A and E.

5. The answer is D.

Look at the picture and find the shelf that is in the middle and the shelf that is all the way to the right. These are the shelves that you will return the misplaced books to. These are shelves C and E.

6. The answer is C.

Look at the picture and find the shelf that is second from the left and the shelf that is second from the right. These are the shelves that you will return the misplaced books to. These are shelves B and D.

7. The answer is E.

Look at the picture and find marketing. This is where you will find all of the categories that fall under the marketing category. You can see that the only answer choice that does not fall under the marketing category is metrics.

8. The answer is B.

Look at the picture and find database. You can see that this category is directly below mobile, so that is the category that it falls under.

9. The answer is C.

Look at the picture and find pay per click. You can see that this category is directly below marketing, so that is the category that it falls under.

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1. The answer is A.

10. The answer is C.

Look at the picture and find where the 0 tick mark on the sliding ruler matches up to the big ruler. You can see that this is at 15 cm.

11. The answer is C.

Look at the picture and find where the 0 tick mark on the sliding ruler matches up to the big ruler. You can see that this is at 24 cm.

12. The answer is A.

Look at the picture and find where the 0 tick mark on the sliding ruler matches up to the big ruler. You can see that this is at 41 cm.

13. The answer is E.

Look at the picture and find where the 0 tick mark on the sliding ruler matches up to the big ruler. You can see that this is at 9 cm.

14. The answer is D.

Look at the picture and find where the 0 tick mark on the sliding ruler matches up to the big ruler. You can see that this is at 32 cm.

Lesson 6 â&#x20AC;&#x201D; Reading Diagrams, Maps,

and

Floor Plans â&#x20AC;˘ 81

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MasteryKeys:

Unlocking the ACT WorkKeys Test 速

速

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Workplace Documents (Answers Included) 2nd Edition

Preparation for achieving the Silver National Career Readiness Certificate

MasteryPrep

ACT and WorkKeys are the registered trademarks of ACT, Inc. MasteryPrep has no affiliation with ACT, Inc., and the MasteryKeys program is not approved or endorsed by ACT, Inc. 速

速

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Table of Contents Introduction ............................................................................................. 7 Lesson 1: Finding Details.......................................................................... 11 Lesson 2: Following Instructions................................................................. 25 Lesson 3: Step by Step............................................................................. 33

Lesson 4: Detective Work......................................................................... 37 Lesson 5: Rules and Situations................................................................... 43 Lesson 6: Too Much Information................................................................ 49

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Lesson 7: Word Meaning......................................................................... 55 Challenger Questions.............................................................................. 59

Conclusion........................................................................................... 261 Practice Test #1..................................................................................... 263 Practice Test #1 Answer Explanations...................................................... 287 Practice Test #2..................................................................................... 291

Practice Test #2 Answer Explanations...................................................... 319

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Lesson 4

Detective Work An important detail may not be clear in a memo. In this case, you have to go digging into the directions to figure it out.

This happens often in workplaces because the people who create the instructions don’t know exactly what type of situation may arise. An important piece of information might be buried inside a long set of instructions that may not seem to matter much to you. The key to digging up a buried detail is persistence. Keep reading until you find the fact that you need.

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To: Library Staff

The Lincoln Library has just opened, and we are pleased to offer tours to the general public. This information will help answer some of your questions about the new library: Q. How big is the new library building?

A. The new library has over 150,000 square feet, making it the largest library in the state of Kentucky. The main building has 100,000 square feet. The media center, also known as the computer lab, is 10,000 square feet. We use 40,000 square feet, located in the East Wing, to host public meetings. Q. How many books are available in the library?

A. The library currently holds 200,000 books, with the capacity to hold 300,000 books. A typical library stores 80,000 books. Q. Why is it called the Lincoln Library?

A. The library is located less than an hour from President Abraham Lincoln’s birthplace. Information about Abraham Lincoln’s achievements, as well as artifacts from his early life in Kentucky, are on permanent display in the center of the library. Q. Who may borrow a book from the library? A. Anyone who lives in Kentucky and has a photo ID can apply for a library card. You must have a library card to be able to borrow books. Q. Is there any limit to the number of books I can borrow from the library? A. You can borrow as many books as you’d like, but you may only have 10 books checked out at any one time. When you return those books, you can check out more. There are no costs for checking out books from the library, although if you keep a book for longer than three weeks, you will need to pay a late fee.

Lesson 4 — Detective Work • 37

This memo is in a Q & A format. Q stands for Question, and A stands for Answer. The memo gives information by giving a question and answer.

A. B. C. D. E.

10,000 square feet. 40,000 square feet. 100,000 square feet. 150,000 square feet. not measured.

First, figure out what the question is asking you to find. 1.

You are conducting a tour for a group of students from a local middle school. You have already guided the students through the main building. One student wants to know how big the computer lab is. Based on the memo shown, you should say that it is...

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1. You are conducting a tour for a group of students from a local middle school. You have already guided the students through the main building. One student wants to know how big the computer lab is. Based on the memo shown, you should say that it is:

Search the passage for the information that matches the question.

38 â&#x20AC;˘ Workplace Documents

To: Library Staff The Lincoln Library has just opened, and we are pleased to offer tours to the general public. This information will help answer some of your questions about the new library: Q. How big is the new library building?

Q. How many books are available in the library?

A. The library currently holds 200,000 books, with the capacity to hold 300,000 books. A typical library stores 80,000 books.

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Q. Why is it called the Lincoln Library?

A. Anyone who lives in Kentucky and has a photo ID can apply for a library card. You must have a library card to be able to borrow books. Q. Is there any limit to the number of books I can borrow from the library?

A. You can borrow as many books as you’d like, but you may only have 10 books checked out at any one time. When you return those books, you can check out more. There are no costs for checking out books from the library, although if you keep a book for longer than three weeks, you will need to pay a late fee.

Specifically, this paragraph has one sentence that answers the question fully.

Q. How big is the new library building?

Find the answer choice that matches the information.

Lesson 4 — Detective Work • 39

A. B. C. D. E.

10,000 square feet. 40,000 square feet. 100,000 square feet. 150,000 square feet. not measured.

Choice A is the best fit.

This question is slightly more difficult than the questions you practiced earlier in this course. The information is buried in a long memo. The key to solving a question like this is to be patient and persistent. 2. According to the memo, what exhibit is on display at the library? A chart showing how many books the library can hold Photos from the library’s grand opening A display featuring Abraham Lincoln A blueprint of the library, showing its square footage There is no exhibit at the library

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A. B. C. D. E.

First, find what the question is asking.

According to the memo, what exhibit is on display at the library?

An exhibit is something that is set up for people to look at and learn from. If something is on display, it’s available for people to view.

If you are unsure about what the question is asking, you can still try to find words in the question that match words in the memo. In this case, both the question and the memo use the word display.

40 • Workplace Documents

Q. How many books are available in the library?

A. The library currently holds 200,000 books, with the capacity to hold 300,000 books. A typical library stores 80,000 books.

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Q. Why is it called the Lincoln Library?

Find the answer choice that most closely fits the information in the memo:

A. B. C. D. E.

Information about Abraham Lincoln’s achievements, as well as artifacts from his early life in Kentucky, are on permanent display in the center of the library. A chart showing how many books the library can hold Photos from the library’s grand opening A display featuring Abraham Lincoln A blueprint of the library showing its square footage None. There is no exhibit at the library.

Choice C is the best match.

Lesson 4 — Detective Work • 41

You are helping a friend prepare for the Workplace Documents WorkKeys test. She is having a hard time finding a detail that a question is asking for. What advice would you give her?

___________________________________________________________________________________________ ___________________________________________________________________________________________

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42 â&#x20AC;˘ Workplace Documents