×

Quiz Session - Attempts With Random Questions

GACE Exam Questions

Page 4 of 27

61.

If 2m + 18 > 11m, which of the following must be true?

  • 2 > m

  • 13 > m

  • 2 < m

  • 9 < m

Correct answer: 2 > m

Subtract 2m from both sides of the equation: 18 > 9m

Divide both sides of the equation by 9: 2 > m

62.

Read the passage then answer the question that follows. 

Which of the following, if inserted as Sentence 4, best supports the writer’s purpose and audience?

  • Modest ground markers describing occurrences, graveyards, noteworthy churches and buildings, and a historic naval frigate are stops along the trail.

  • Boston is one of the original and oldest cities in the United States of America.

  • Boy Scouts who walk along the Freedom Trail are eligible to earn the Historic Trails Award.

  • The Freedom Trail does not include the site of the Tea Party or the site of the Liberty Tree.

Correct answer: Modest ground markers describing occurrences, graveyards, noteworthy churches and buildings, and a historic naval frigate are stops along the trail.

Sentence 3 tells the reader about the length of the Freedom Trail and Sentence 5 tells the reader that most of the sites are free to visit. Therefore, the inserted passage would need to include information regarding the sites that are part of the Freedom Trail. 

The other answer choices could be part of the passage, but they do not provide transition between Sentence 3 and Sentence 5.

63.

Read the passage then answer the question that follows. 

The author’s main point of the passage is:

  • To present what individuals do with their smartphones

  • To discuss the favorite gaming apps used on smartphones

  • To determine what apps should or should not be used on smartphones

  • To discuss how technology keeps getting tinier and smarter

Correct answer: To present what individuals do with their smartphones

The passage starts by stating that smartphone users were asked what they did with their smartphones and then discusses the variety of apps that they download and use on their smartphones.

64.

Of the following fractions, which is the greatest?

  • 3/5

  • -4/9

  • 7/13

  • -1/3

Correct answer: 3/5

First, approximate, using the answer choices. Eliminate any number that is negative: -1/3 and -4/9. 

You can compare the remaining answer choices by reducing them. 7/13 is 0.54, 4/7 is 0.57, and 3/5 is 0.6, which is the greatest.

65.

To the nearest ten, what is 167?

  • 170

  • 160

  • 100

  • 200

Correct answer: 170

Rounding tells us that if it is 0 - 4 to round down, and if it is 5 - 9 to round up. In the ones place, you have a 7, which tells you that you need to round up, giving you the correct answer of 170.

66.

Read the passage then answer the question that follows.

Which of the following best outlines the structure of the passage?

  • A statement is made, then supported

  • A theory is stated, then explained

  • A question is asked, then answered

  • An experiment is stated, then a conclusion is presented

Correct answer: A statement is made, then supported

The passage starts with the statement that increased usage of mobile technology is causing dangerous consequences. This statement is then supported by the facts from a recent study.

67.

Consider the following statement: If Diane passes the test, the whole class will pass. 

Which of the following answer choices must be true?

  • If Diane's whole class did not pass, she didn't pass the test

  • If Diane does not pass, her whole class will fail

  • Diane is the only student who can pass the test

  • The other students passed the test, but Diane failed it

Correct answer: If Diane's whole class did not pass, she didn't pass the test

It is not necessary for Diane to pass in order for the other students to pass their test, nor is she the only student who is taking the test.

68.

The Venn diagram represents the favorite foods of 100 people polled on a college campus. 

Which of the following is true about the people polled?

  • Some people like both pizza and ice cream

  • Everyone likes either veggie burgers or pizza

  • No one likes more than two foods

  • Everyone who likes pizza also likes french fries

  • There is no one who likes only one food

Correct answer: Some people like both pizza and ice cream

In the Venn diagram, the circles representing people who like pizza and the people who like ice cream overlap. This means that there are some people who report that they like both pizza and ice cream.

  • The diagram shows that there are some people who like only potato chips, only french fries, or only ice cream, so "everyone likes either veggie burgers or pizza" is incorrect.
  • There is overlap in the diagram between ice cream, pizza, and french fries. This means that some people report they like all three foods, so "no one likes more than two foods" is incorrect.
  • The diagram shows that some people only like pizza and some people only like french fries, so "everyone who likes pizza also likes french fries" is incorrect.
  • The diagram shows that there are people who like only french fries, only veggie burgers, etc., so "there is no one who likes only one food" is incorrect.

69.

Read the passage then answer the question that follows.

An appropriate title for this passage is:

  • The Reality of Purchasing Golf Clubs

  • The History of Golf Clubs

  • Expensive Golf Clubs Are Better

  • Cheap Golf Clubs Are Better

Correct answer: The Reality of Purchasing Golf Clubs

The answer choice: The History of Golf Clubs is out of scope of the passage. Also, the passage does not state if expensive or cheap golf clubs are better; therefore, those two answer choices can be eliminated. Thus, The Reality of Purchasing Golf Clubs provides an appropriate title for the passage.

70.

The image shows what type of angle?

  • Obtuse

  • Acute

  • Right

  • Straight

  • Nonexistent

Correct answer: Obtuse

An obtuse angle is an angle more than 90 degrees but less than 180 degrees. The image shows an angle at approximately 135 degrees, so it is obtuse.

An acute angle is less than 90 degrees but more than 0 degrees. A right angle is exactly 90 degrees. A straight angle is exactly 180 degrees and is a straight line.

71.

What should be done to the expression to change it to scientific notation?

3617.09 × 10-9

  • Move the decimal three places to the left and make the exponent three higher

  • Move the decimal three places to the left and make the exponent three lower

  • Move the decimal two places to the left and make the exponent four higher

  • Move the decimal two places to the left and make the exponent four lower

  • Move the decimal two places to the right and make the exponent two higher

Correct answer: Move the decimal three places to the left and make the exponent three higher

In order to write a number in scientific notation, move the decimal until the number is between 1 and 10. In this case, the decimal would be moved three places to the left, which would be added to the exponent.

3617.09 × 10-9 = 3.61709 × 10-9+3 = 3.61709 × 10-6 

72.

Mike drives 15 miles to work. When he gets off work, he drives 5 miles to get to a restaurant for dinner, and 8 more miles to reach the grocery store. Assuming the restaurant and the grocery store are both on his way home, approximately how many miles will he still have to drive to make it home?

  • 2 miles

  • 6 miles

  • 4 miles

  • 11 miles

  • 3 miles

Correct answer: 2 miles

1. Add the number of miles Mike traveled after he got off work.

5 miles + 8 miles = 13 miles

2. Since both stops were on his way home, subtract the distance that Mike traveled after work from the distance of Mike's work from home.

15 miles - 13 miles = 2 miles

73.

Edward is scheduled to detail 23 cars this week. If he details 3 cars on Monday, how many must he detail each day, on average, to finish by Saturday?

  • 4

  • 2

  • 3

  • 5

Correct answer: 4

First, subtract the cars he detailed on Monday. This leaves Edward with 20 cars to detail, and 5 days left. Divide 20 by 5 to get the correct answer of 4 cars to detail per day.

74.

If Craig can walk 2 miles in 26 minutes, how long will it take him to walk 5 miles?

  • 1 hour 5 minutes

  • 52 minutes

  • 1 hour 26 minutes

  • 1 hour 35 minutes

Correct answer: 1 hour 5 minutes

The question gives you the initial relationship of 2 (miles) / 26 (minutes), and you will need to set this relationship equal to the one you want to find: 

2 (miles) / 26 (minutes) = 5 (miles) / x (minutes).

Now, you will need to cross multiply to solve the question: 

2x = 130

x = 65 minutes

While 65 minutes is not an answer choice, you can reduce it to find the correct answer of 1 hour 5 minutes.

75.

Solve the equation for x.

(x - 3)/2 = (x + 2)/12

  • 4

  • 6

  • 1

  • 5

  • -2

Correct answer: 4

1. Cross-multiply.

(x - 3)/2 = (x + 2)/12

12(x - 3) = 2(x + 2)

2. Simplify.

12x - 36 = 2x + 4

3. Subtract 2x from each side.

12x - 2x - 36 = 2x - 2x + 4

10x - 36 = 4

3. Solve for x.

10x - 36 + 36 = 4 + 36

10x = 40

x = 4

76.

View the supporting details to answer the following question.

Which of the following can be concluded from the table?

  • Only males are playing football and baseball

  • Only males are playing softball

  • There are equal numbers of males and females playing all sports

  • More females are playing soccer than males

Correct answer: Only males are playing football and baseball

You are able to look at the table and determine that there are no females playing football or baseball.

77.

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 see if this textbook has made any reference to another book entitled The Big Bang Theory. Where can the reader look to determine this the quickest?

  • Bibliography

  • Appendix

  • Glossary

  • Index

Correct answer: Bibliography

A bibliography is where one would find the list of writings that are referenced in the textbook; thus, checking the bibliography would be the quickest method to determine if another book was referenced.

78.

What does s equal if (6s - 2) / 2 = 8?

  • 3

  • 6

  • 4

  • -4

Correct answer: 3

First, divide 6s by 2 and -2 by 2: 3s - 1 = 8

Then, add 1 to each side of the equation: 3s = 9

Now, divide each side of the equation by 3: s = 3

79.

Solve the following:

|-7| × | 6 | ÷ -3

  • -14

  • 14

  • 18

  • -18

  • -16

Correct answer: -14

The absolute value of any number is positive. Therefore, the absolute value of -7 is 7.

|-7| × | 6 | ÷ -3 =

7 × 6 ÷ -3 =

42 ÷ -3 = -14

80.

Multiplying a number by 1/8 is the same as dividing that number by:

  • 8

  • 16

  • 1/16

  • 0.125

Correct answer: 8

If you select the number 16, and multiply it by 1/8, the result is 2. If you divide the number 16 by 8, the result is 2. 1/8 means 1 divided by 8.

×