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Quiz Session - Attempts With Random Questions

GACE Exam Questions

Page 5 of 27

81.

Steve scored the following scores on his five science tests:

75, 82, 81, 98, and 90. What does he need to score on his sixth test in order to have an average of 86?

  • 90

  • 96

  • 84

  • 80

  • 92

Correct answer: 90

1. Set up an equation, with x representing the score on Steve's sixth test.

75 + 82 + 81 + 98 + 90 + x = 86
                   6

2. Multiply both sides by 6.

75 + 82 + 81 + 98 + 90 + x × 6 = 86 × 6
                   6

3. Simplify.

75 + 82 + 81 + 98 + 90 + x = 516

426 + x = 516

x = 90

82.

What is the greatest common factor of 24 and 42?

  • 6

  • 7

  • 3

  • 24

  • 80

Correct answer: 6

1. To find the greatest common factor of two numbers, find all the factors of both numbers.

24: 1, 2, 3, 4, 6, 8, 12, 24

42: 1, 2, 3, 6, 7, 14, 21, 42

2. Determine which factors the numbers have in common.

Both numbers have 1, 2, 3, and 6 in common.

3. Determine which of these factors is the greatest.

6 is the greatest common factor.

83.

If a = 3 and b = -9, then 3a3 - 5b + 2 = ?

  • 128

  • 66

  • 108

  • 20

  • 54

Correct answer: 128

1. Insert 3 for a and -9 for b into the equation.

3a3 - 5b + 2 =

3(3)3 - 5(-9) + 2 =

2. Simplify.

3(27) + 45 + 2 =

81 + 47 = 128

84.

Use the box-and-whisker plot to answer the following question: 

What is the median annual snow depth, in inches, at Mathsville Ski Resort?

  • 75 inches

  • 60 inches

  • 80 inches

  • 102 inches

  • 95 inches

Correct answer: 75 inches

The median of the box-and-whisker plot is indicated by a line drawn through the center of the box. The value graphed at this point is 75 inches.

85.

Use the table of contents below to answer the question that follows.

Home Winemaking
Getting Started 1
Essential How-tos 21
Wine from Kits 26
Wine from Concentrates 33
Wine from Juices 70
White Wine from Grapes 122
Red Wine from Grapes 161
Wine from Fruit 198

In what way is the above table of contents organized?

  • By category

  • By time

  • By ease

  • Alphabetical

Correct answer: By category

The different ways to make wine are broken down into the different methods of winemaking. 

You have no way of evaluating if the table of contents is organized by time or by ease.

86.

Use the table of contents below to answer the question that follows.

A Textbook of Astronomy
1 - Different kinds of measurements
2 - The stars and their diurnal motion
3 - Fixed and wandering stars
4 - Celestial mechanics
5 - The earth as a planet
6 - The measurement of time
7 - Eclipses
Appendix
Bibliography
Glossary
Index

The reader wants to know what the definition of eclipse is. Where can the reader look to determine the definition the quickest?

  • Glossary

  • Index

  • Appendix

  • Bibliography

Correct answer: Glossary

The glossary of a textbook is where you can find a list of difficult or specialized words with their definitions; thus, the glossary would be the quickest method to determine what the definition of eclipse is.

87.

Read the passage then answer the question that follows. 

An appropriate title for this passage is:

  • How People are Using Their Smartphones

  • Weather Apps to Use

  • The Ten Best Navigation Apps

  • Top Ten Mobile Game Apps

Correct answer: How People are Using Their Smartphones

This title covers the main idea of the passage, whereas the other answer choices are out of the scope of the passage or too specific.

88.

What is the product of -6, 1, -3, -8, and 5?

  • -720

  • 720

  • 5

  • -240

  • -77

Correct answer: -720

1. Remove the negative signs and multiply the numbers together to find the product.

6 × 1 × 3 × 8 × 5 = 

6 × 3 × 8 × 5 = 

18 × 8 × 5 = 

144 × 5 = 720

2. Because the number of negative terms (3) is odd, the answer is negative.

-6 × 1 × -3 × -8 × 5 = -720

89.

Carrie was painting her fingernails. None of her fingernails were colored blue. Some of her fingernails were pink. The fingernail colors are pink, red, purple, or brown, but no fingernail has more than one color on it.

Which of the following statements must be true?

  • Carrie has more pink fingernails than blue fingernails

  • Carrie has more fingernails colored red than any other color

  • Carrie has more purple fingernails than pink fingernails

  • Carrie's favorite fingernail is colored pink and purple

Correct answer: Carrie has more pink fingernails than blue fingernails

To find the true statement, look at each answer choice and eliminate those that are incorrect. You do not know the number of each fingernail colored a different color, but you do know that a fingernail can only be one color. There are no "If - Then" statements in the question, so do not get trapped with that answer choice. 

The question does state that there are no fingernails colored blue, but that there are some colored pink. Therefore, you know that Carrie has more pink fingernails than blue fingernails.

90.

Each of the following is a multiple of 8 except:

  • 54,308,324

  • 54,234,800

  • 76,760

  • 98,321,873,968

  • 190,834,096

Correct answer: 54,308,324

If the last 3 digits of any number form a number that is divisible by 8, then the entire number is divisible by 8. 

  • The last 3 digits of 54,234,800 are 800, which is divisible by 8 (8 × 100 = 800).
  • The last 3 digits of 76,760 are 760, which is divisible by 8 (8 × 95 = 760).
  • The last 3 digits of 98,321,873,968 are 968, which is divisible by 8 (8 × 121 = 968).

The last 3 digits of 54,308,324 are 324, which is not divisible by 8 (324 ÷ 8 = 40.5).

91.

The box plot shows the ages of Oscar-winning actors between 1975 and 2004.

What percentage of male actors who won Oscars were younger than 37?

  • 25%

  • 35%

  • 45%

  • 75%

  • 80%

Correct answer: 25%

The box plot indicates that the lowest age of any Oscar-winning male actor was about 28 years old. The median of the lower quartile was about 37, so 25% of the male actors were younger than 37.

92.

Brent measured the board at 8-3/4 feet. Shawn measured the same board at 6-1/2 feet. What is the difference between Brent's measurement and Shawn's measurement?

  • 2 1/4 feet

  • 3 feet

  • 2 1/3 feet

  • 1 2/3 feet

Correct answer: 2 1/4 feet

To find the difference, convert all mixed numbers to improper fractions.

8 3/4 = 35/4

6 1/2 = 13/2

Next, find a common denominator and subtract the numbers.

35/4 - (13/2)(2/2)

35/4 - 26/4 = 9/4 = 2 1/4 feet

8 3/4 - 6 2/4 = 2 1/4

You could also use the Bowtie method, where you first need to convert the mixed numbers into improper fractions:

8 3/4 = 35/4, and 6 1/2 = 13/2

Then, 35/4 - 13/2 = (70 - 52) / 8 = 18/8 = 9/4 = 2 1/4.

93.

Use the graph to answer the following question:

How many years at Mathsville Ski Resort was snowfall 50 inches or less?

  • 25%

  • 35%

  • 50%

  • 55%

  • 75%

Correct answer: 25%

The box-and-whisker plot indicates that the median of the lower quartile is 50 inches, so 25% of the years had an annual snowfall of less than 50 inches.

94.

If the value of y is between -0.60 and 0.01, which of the following could be the value of y?

  • -0.1

  • -0.75

  • 0.11

  • -0.65

Correct answer: -0.1

-0.10 is between -0.60 and 0.01. -0.75 and -0.65 are smaller than -0.60 and 0.11 is greater than 0.01.

95.

The chef used 2 tablespoons of salt, 4 tablespoons of baking soda, and some pepper. There is a 1 to 3 ratio of salt to pepper. Which of the following numbers in the problem are needed to find the total number of tablespoons of pepper that the chef will use?

  • 2, 1, and 3 only

  • 4, 1, and 3 only

  • 4, 2, 1, and 3

  • 1 and 3 only

Correct answer: 2, 1, and 3 only

In order to find the actual number of tablespoons of pepper, you need the initial ratio, plus one actual number. The initial ratio of salt to pepper is 1 to 3, and the actual number of tablespoons of salt is 2. 

You do not need the fact that the chef used 4 tablespoons of baking soda. This piece of information does nothing to help you solve the ratio box involving salt and pepper.

96.

Read the passage then answer the question that follows.

An appropriate title for this passage is:

  • Fantasy Football: What is the Cost?

  • How to Pick Your Fantasy Football Players

  • Who is Playing Fantasy Football?

  • How to Play Fantasy Football

Correct answer: Fantasy Football: What is the Cost?

This answer choice covers the main theme of the passage. 

The other answer choices are out of scope or too specific.

97.

Betty is making soup for a large group of people. If she pours 4 quarts of water into a pot, and then Sally pours 3 pints of broth into the pot, how many cups of liquid are in the pot?

  • 22 cups

  • 16 cups

  • 12 cups

  • 24 cups

  • 32 cups

Correct answer: 22 cups

1. The best way to determine the answer is to convert all the measurements to cups and then add them together. Convert quarts to cups.

4 quarts = 4 × 4 = 16 cups

2. Convert pints to cups.

3 pints = 3 × 2 = 6 cups

3. Add the cups together.

16 cups + 6 cups = 22 cups

98.

Use the table of contents below to answer the question that follows.

A Textbook of Psychology
About the Author
Preface
Prologue: The Story of Psychology
Chapter 1: Thinking Critically with Psychological Science
Chapter 2: The Biology of Mind
Chapter 3: Consciousness and the Two-Track Mind
Chapter 4: Nature, Nurture, and Human Diversity
Chapter 5: Developing Through the Life Span
Appendix A: Careers in Psychology
Appendix B: Answers to Test Yourself Questions
Glossary
References
Name Index
Subject Index

Where can the reader look to find information regarding the author?

  • About the Author

  • Preface

  • Glossary

  • References

Correct answer: About the Author

The section that contains information regarding the author of the textbook would be found under the section titled "About the Author."

99.

The local motorcycle dealership was hosting a ride on Saturday. There were 310 motorcycle riders on Saturday's ride. If there were four times as many male riders, how many female riders were on Saturday's ride?

  • 62

  • 258

  • 46

  • 80

Correct answer: 62

Backsolving is the easiest way to solve this problem. To backsolve, choose the answer choice that is the middle option to start with, and work toward the correct answer.
80 is the middle option in the answer bank. If there were 80 female riders, then 320 male riders were on Saturday's ride. This answer proves to be too high, as you only want 310 riders, not 400. You will need to choose another answer choice that is lower than 80.

The answer choice that is lower than 80 is 62. If there were 62 female riders, then 248 male riders were on Saturday's ride. This gives you the total of 310 riders that you are looking for.

100.

Read the passage then answer the question that follows. 

Which of the following requires revision for redundancy?

  • Sentence 3

  • Sentence 1

  • Sentence 5

  • Sentence 7

Correct answer: Sentence 3

Sentence 3 unnecessarily repeats the words “increased” and “amplified.” These forms need not be repeated and the sentence should be condensed as follows: The level of vampire superstition amplified as the vampire legends spread into Eastern Europe. 

Sentences 1, 5, and 7 do not require revisions for redundancy.

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