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GACE Exam Questions
Page 3 of 27
41.
Grant bikes a total of 18 miles from his house to go to the record store. Grant passes his friend Bert's house when he is 69 percent of the way to the store. After visiting the record store, Grant stops at Bert's house to visit.
How many miles has Grant biked by the time he stops at Bert's?
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23.58 miles
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12.42 miles
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30.42 miles
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19.67 miles
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21.0 miles
Correct answer: 23.58 miles
1. Find the distance from Grant's house to Bert's house.
18 miles × 0.69 = 12.42 miles
2. Subtract 12.42 miles from the distance between Grant's house and the record store to find the distance between the record store and Bert's house.
18 miles - 12.42 miles = 5.58 miles
3. Add the total number of miles Grant traveled from his house to the record store to Bert's house.
18 miles + 5.58 miles = 23.58 miles
42.
What is 81.029 rounded to the nearest tenth? To the nearest hundredth?
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81.0, 81.03
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80, 100
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81.1, 81.02
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81, 100
Correct answer: 81.0, 81.03
First, eliminate answer choices 80, 100 and 81, 100. These answers are not rounded to the nearest tenth or hundredth. To round 81.029 to the nearest tenth, you need to look at the digit in the hundredths place. The digit is 2. Rounding tells you that if a digit is 4 or less, round down. Thus, you need to leave the digit in the tenth place alone: 81.0.
To round 81.029 to the nearest hundredth, you need to look at the digit in the thousandths place. The digit is 9. Rounding tells you that if a digit is 5 or greater, round up. Thus, you need to round the digit in the hundredths place from 2 up to 3: 81.03.
43.
You taught five separate math classes, in which you gave each class the same exam. The exam average for all five classes was 88, and had a total of 10,560 points. How many total exams were given?
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120
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24
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2,112
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440
Correct answer: 120
To find the number of exams given, you will need to divide the total points by the exam average. 10,560 / 88 = 120.
44.
Read the passage then answer the question that follows.
Which of the following sentences contains an error in subject/verb agreement?
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Sentence 3
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Sentence 2
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Sentence 5
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Sentence 7
Correct answer: Sentence 3
Sentence 3 contains an error in subject/verb agreement. The singular verb “has been” is referring to the plural subject “Sigtrygg Runestones.” To correct the subject/verb agreement, the writer should use “have been.”
Sentences 2, 5, and 7 all contain accurate subject/verb agreement.
45.
Darcie has a jar containing 9,064 pennies. She drops the jar and half of the pennies fall out of the jar. Approximately how many pennies does she have left in the jar?
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4,500
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3,000
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9,000
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13,500
Correct answer: 4,500
Darcie has approximately 9,000 pennies. If she drops the jar and loses half of that amount, she subtracts approximately 4,500 pennies from her jar:
9,000 - (0.5 x 9,000) = 4,500.
46.
Gary eats 2 hamburgers a day. If each hamburger weighs 6 ounces, how many pounds of hamburger does Gary eat per week?
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5 pounds, 4 ounces
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84 pounds
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4 pounds, 5 ounces
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5 pounds, 2 ounces
Correct answer: 5 pounds, 4 ounces
First, calculate the total number of ounces of hamburger that Gary consumes per week. Each day, he eats 12 ounces of hamburger (2 x 6). Multiply 12 by 7 to get his weekly total of 84 ounces.
Now, convert ounces to pounds. There are 16 ounces to 1 pound. 84 divided by 16 is 5, with a remainder of 4.
47.
View the supporting details to answer the following question.
Which of the following can be concluded from the table?
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The total number of students from 9th to 12th grade that have cell phones
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The percentage of 9th grade students with cell phones
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The total number of students in 9th, 10th, 11th, and 12th grade
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How many more students are in the 12th grade than any other grade in the school
Correct answer: The total number of students that have cell phones from 9th to 12th grade
You can add up the total number of students that have a cell phone in each grade.
You do not know the total number of students enrolled in each grade, so you can not determine the percentages for each grade, nor can you determine which grade has more students.
48.
Read the passage then answer the question that follows.
This passage is most likely taken from:
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An editorial
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A legal journal
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A scientific journal
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A fiction book
Correct answer: An editorial
The passage is the opinion of the author; thus, an editorial is the best answer.
The information is not technical enough to be found in a legal journal or a scientific journal.
49.
Use the table of contents to answer the question that follows.
Coaching Teams and Team Members
The Basics of Coaching . . . . . . . 130
Job Performance . . . . . . . . . . . . . 131
Developing Team Players . . . . . . 136
Developing Leaders . . . . . . . . . . 137
Coaching from a Distance . . . . . 144
Players as Coaches . . . . . . . . . . 146
Recognition . . . . . . . . . . . . . . . . . 146
Coaching by Example . . . . . . . . . 148
In what way is the above table of contents organized?
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By category
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By importance
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By effectiveness
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Alphabetical
Correct answer: By category
The different ways to coach teams are broken down into different development and coaching methods.
You have no way of evaluating if the table of contents is organized by importance, or by effectiveness.
50.
Read the passage then answer the question that follows.
Which of the following best defines the word “stem” as it is used in the passage?
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Stop
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Stalk
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Supporting part
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Connecting part
Correct answer: Stop
The author uses the word stem to state that organizations and agencies are trying to stop distracted driving.
51.
Analyze the index below. Then answer the following question:
Working With Web Pages
Attaching CSS styles to web 165-166
Changing orientation 141-143
Designing responsive 153-157
Exporting HTML pages 163-164
Inserting mobile-sized HTML page 163-169
Previewing on mobile device 155, 157-159
On which pages would you learn how to view your work on a cell phone?
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155, 157-159
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141-143
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165-166
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163-169
Correct answer: 155, 157-159
The category of "previewing on mobile device" is where you could find general information about how to view your work on a cell phone.
The other categories provide information about how to attach, change, design, export and insert your work, not view it.
52.
The diameter of a given sphere is 8 inches. What is the surface area of the sphere?
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64π in2
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12π in2
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28π in2
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72π in2
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60π in2
Correct answer: 64π in2
1. Find the radius of the sphere.
Diameter = 2r
8 = 2r
r = 4 inches
2. Find the surface area of the sphere.
Surface area of a sphere = 4πr2
A = 4π(42)
A = 4π(16)
A = 64π in2
53.
What does x equal if (5x + 1) x 3 = 48?
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3
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1
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6
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-3
Correct answer: 3
First, multiply 5x by 3 and 1 by 3: 15x + 3 = 48
Then, subtract 3 from each side of the equation: 15x = 45
Now, divide each side of the equation by 15: x = 3
54.
Read the passage then answer the question that follows.
Which of the following would be the best title for the passage?
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Obesity – What is the Cause?
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Fast Food is the Cause of Obesity
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Obesity is on the Rise
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The After Effects of Fast Food
Correct answer: Obesity – What is the Cause?
In the passage, the author starts by stating that it would make sense that fast food is the cause of obesity, but then suggests that the cause could be, instead, the increase in technology. Thus, the question of what really causes obesity is the best title.
55.
Read the passage then answer the question that follows.
Which of the following sentences should be revised to correct an error in punctuation?
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Sentence 2
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Sentence 4
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Sentence 8
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Sentence 11
Correct answer: Sentence 2
Sentence 2 contains an error in punctuation. The second clause states a question: “do any of us really know the answer to it” and should be punctuated with a question mark, not a period.
Sentences 4, 8, and 11 all contain standard punctuation usage.
56.
The stem-and-leaf plot shows student heart rates after doing 1 minute of jumping jacks.
What is the mode?
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99 beats/minute
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90 beats/minute
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115 beats/minute
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121 beats/minute
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154 beats/minute
Correct answer: 99 beats/minute
In a stem-and-leaf plot, the tens place is represented by the stem and the ones place is represented by the leaf. The mode is the number that appears most often. Because 99 appears three times, it is the mode.
- 90 appears 0 times, so it is not the mode
- 115 appears 0 times, so it is not the mode
- 121 appears only 1 time, so it is also incorrect
57.
Read the passage then answer the question that follows.
Which of the following sentences contains a nonstandard pronoun use?
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Sentence 5
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Sentence 2
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Sentence 4
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Sentence 8
Correct answer: Sentence 5
Sentence 5 contains a plural noun “species” with incorrect objective personal singular pronouns “he” and “she.”
The other sentences all have correct noun/pronoun agreement.
58.
If 5x - 3x + 2x = 8x - 28, then what is 5x + 10?
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45
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30
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-28
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42
-
52
Correct answer: 45
1. Solve for x in the first equation by combining like terms.
5x - 3x + 2x = 8x - 28
4x = 8x - 28
2. Subtract 8x from both sides.
4x - 8x = 8x - 8x - 28
-4x = -28
3. Solve for x.
-4x = -28
x = 7
4. Insert x = 7 into the second equation.
5x + 10 =
5(7) + 10 =
35 + 10 = 45
59.
Evaluate the following expression for a = 7, b = 4, and c = -1.
5a + 9b - 2c
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73
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52
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69
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16
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61
Correct answer: 73
1. Replace each variable with its value.
5a + 9b - 2c =
5(7) + 9(4) - 2(-1)
2. Simplify.
5(7) + 9(4) - 2(-1) = 35 + 36 + 2 = 73
60.
This is an image of a(n):
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Line segment
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Line
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Angle
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Plane
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Shape
Correct answer: Line segment
A line segment is a line with two clear endpoints. The image shows a clearly-defined line connecting point A with point B, so it is a line segment.
A line goes continuously in one or both directions, which is indicated by one or more arrows. An angle is formed when two lines converge at one point. A plane is a flat surface that continues indefinitely in all directions.