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GACE Exam Questions
Page 7 of 27
121.
A passenger train left Boston and went to New York City and back. The trip to New York City took four hours, but the return trip took three and a half hours. If the train averaged 61 miles per hour back to Boston, find the average speed of the train during the outbound trip.
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53.4 miles/hour
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65 miles/hour
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48.9 miles/hour
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57.8 miles/hour
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39.2 miles/hour
Correct answer: 53.4 miles/hour
1. Find the distance between Boston and New York City.
61 miles/hour × 3.5 hours = 213.5 miles
2. Find the average speed of the train during the outbound trip.
213.5 miles ÷ 4 hours = 53.4 miles/hour
122.
Read the passage then answer the question that follows.
The writer’s main purpose in writing this passage is to:
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Explain the history of Mount Rushmore National Memorial
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Describe Gutzon Borglum’s career as a sculptor
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Examine the differences in granite formations
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Define what a sculpture is
Correct answer: Explain the history of Mount Rushmore National Memorial
The main purpose behind the passage is to explain the history of Mount Rushmore National Memorial.
The passage did not include Borglum’s career as a sculptor, nor did it examine the differences in granite formations. The passage also did not include the definition of what a sculpture is.
123.
Julie buys a car with power windows, air conditioning, and a sun roof. The car costs $20,000.00, and each option costs $500.00 each. Julie pays with a $22,000.00 check. Julie uses the following expression to calculate the amount of money she should receive back from the purchase:
$22,000.00 - ($20,000.00 + $500.00 + $500.00 + $500.00)
Which of the following expressions could Julie have also used?
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$22,000.00 - $20,000.00 - 3($500.00)
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3 x ($22,000.00 - $25,000.00 - $500.00)
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$20,000.00 + (3 x $500.00) - $22,000.00
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$500.00 - $22,000.00 + $20,000.00
Correct answer: $22,000.00 - $20,000.00 - 3($500.00)
If you solve the expression given to you, you have $22,000.00 - $21,500.00 = $500.00. Therefore, the correct expression needs to produce a value of $500.00.
The expression $22,000.00 - $20,000.00 - 3($500.00) = $500.00. This yields the same value as the given expression, so it is the correct answer.
124.
Read the passage then answer the question that follows.
Which of the following changes is needed to make the passage conform to the conventions of Standard American English?
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Sentence 9: Change “compare” to “comparable.”
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Sentence 1: Change “three” to “3.”
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Sentence 10: Change “riders” to “rider’s.”
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Sentence 3: Change “To” to “Too.”
Correct answer: Sentence 9: Change “compare” to “comparable.”
Sentence 9 indicates the change of the incorrect word “compare” to the adjective form “comparable” to modify the verb phrase “compared to.”
The word “three” in Sentence 1 should not be changed to “3,” as numbers from one to nine are usually written as words. The word “riders” in Sentence 10 should not be changed to the possessive case, as the riders are not showing ownership of the word “try.” The word “To” in Sentence 3 is used in the correct context.
125.
Megan has exactly 23 weeks until she retires. How many hours does Megan have before she retires?
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3,864
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161
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892
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1,759
Correct answer: 3,864
First, you will need to convert 23 weeks to days: 23 weeks x 7 days / 1 week = 161 days.
Then, convert 161 days to hours: 161 days x 24 hours / 1 day = 3,864 hours.
126.
Evaluate the following expression for x = 1/2, y = 5/7, and z = -3.
12x - 8y + z
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-2 5/7
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6 1/7
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-5
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4 1/2
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3 1/7
Correct answer: -2 5/7
1. Replace each variable with its value.
12x - 8y + z = 12(1/2) - 8(5/7) + -3
2. Simplify.
12(1/2) - 8(5/7) + -3 =
6 - 40/7 - 3
3. Combine whole numbers.
6 - 40/7 - 3 =
3 - 40/7
4. Convert whole number to a fraction with a denominator of 7.
(3 × 7)/7 - 40/7 =
21/7 - 40/7
4. Simplify.
21/7 - 40/7 = -19/7
5. Convert to a mixed number.
-19/7 = -2 5/7
127.
Jan has a bag of bubble gum balls. The bag of bubble gum balls has 12 yellow balls, 15 green balls, 8 red balls, and 7 purple balls. If Jan reaches into her bag of bubble gum balls and randomly picks one, what is the probability that she will pick a purple bubble gum ball?
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1/6
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2/3
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4/21
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1/7
Correct answer: 1/6
Probability is a fraction that expresses number of desired outcomes / total number of outcomes. In this question, there are 7 purple gum balls (the number of desired outcomes), and there are a total of 42 gum balls (the total number of possible outcomes).
Therefore, the probability of selecting a purple gum ball is 7/42, which reduces to 1/6.
128.
Read the passage then answer the question that follows.
Which of the following changes is needed in the passage?
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Sentence 3: Change “classes” to “class’s”
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Sentence 9: Change “Celsius” to “celsius”
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Sentence 1: Change “students” to “student’s”
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Sentence 7: Change “comes” to “came”
Correct answer: Sentence 3: Change “classes” to “class’s”
Sentence 3 needs to have the plural word “classes” changed to the possessive word “class’s.” The sentence is describing the silence that came from the class, not multiple classes.
The other choices are all correct, and changing them would make them nonstandard.
129.
Use the supporting details to answer the following question.
Between which two years was the increase in attendance at the Job Fair the greatest?
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1 to 2
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2 to 3
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3 to 4
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4 to 5
Correct answer: 1 to 2
First, look at the table of information and try to identify the answer that can be eliminated. There are decreases in attendance between years 2 to 3, so you may eliminate that answer choice. Visually, you may be able to select the correct answer. If not, find the differences:
1) Year 1 had 122 attendees and year 2 had 143 attendees, so between 1 to 2 there was an increase of 21 attendees; 2) Year 3 had 139 attendees and year 4 had 152 attendees, so between 3 to 4 there was an increase of 13 attendees; and 3) Year 4 had 152 attendees and year 5 had 166 attendees, so between 4 to 5 there was an increase of 14 attendees.
Thus, you can determine the greatest increase in attendance occurred between 1 and 2.
130.
Read the passage then answer the question that follows.
Which of the following statements would the author most likely support?
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Bicycle riding is a mode of transportation that should be considered
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Riding bicycles is only for young adults who enjoy exercise
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Only people in large cities can ride bicycles
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Companies should not promote the use of bicycles as their employees’ mode of transportation
Correct answer: Bicycle riding is a mode of transportation that should be considered
In the passage, the author describes the benefits of using a bicycle as a mode of transportation.
131.
Which of the following fractions is between 3/5 and 3/4?
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2/3
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4/5
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1/2
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2/5
Correct answer: 2/3
3/5 reduces to 0.6 and 3/4 reduces to 0.75. This tells you that the number is between 0.6 and 0.75. 2/3 reduces to 0.667, which falls between 0.6 and 0.75. Therefore, 2/3 is the fraction between 3/5 and 3/4.
132.
Which of the following represents 16/112 in simplest form?
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1/7
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1/3
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1/8
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1/6
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1/2
Correct answer: 1/7
1. Reduce the fraction by finding the greatest common factor of each number.
16: 1, 2, 4, 8, 16
116: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
2. Since 16 is the greatest common factor, divide both the numerator and denominator by 16.
(16 ÷ 16)/(112 ÷ 16) = 1/7
133.
Solve the following:
3/8 + 9/16 - 7/5
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-37/80
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23/80
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5/16
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-5/16
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42/51
Correct answer: -37/80
1. Find the least common multiple of the denominators (8, 16, and 5).
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
16: 16, 32, 48, 64, 80
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80
2. Change each fraction so that each has the same denominator.
(3 × 10)/(8 × 10) = 30/80
(9 × 5)/(16 × 5) = 45/80
(7 × 16)/(5 × 16) = 112/80
3. Simplify.
30/80 + 45/80 - 112/80 = -37/80
134.
You taught five separate math classes, in which you gave each class the same exam. The exam average was 78, and each class had 22 students. What is the sum total of all the exams for the five classes?
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8,580
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110
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1,716
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5,148
Correct answer: 8,580
First, you will need to find the total number of exams taken: 5 classes x 22 students = 110 exams.
Now, you will need to multiply the total number of exams by the average: 110 x 78 = 8,580.
135.
Read the passage then answer the question that follows.
Which of the following transition words, if inserted into the blank in Sentence 3, would provide a more effective sequence of ideas?
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Specifically
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Finally
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Although
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Similarly
Correct answer: Specifically
The correct transition word to use in Sentence 3 is “specifically.” The transition word “specifically” is used to emphasize the point that diamond has superlative physical attributes.
“Finally” is used to conclude or summarize, “although” is used to show contrast between items, and “similarly” is used to compare things.
136.
If Charlotte is driving at a steady speed of 50 miles per hour, how long will it take her to drive 20 miles?
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24 minutes
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15 minutes
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28 minutes
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8 minutes
Correct answer: 24 minutes
1. There are 60 minutes in an hour, so set up the following equation:
50/60 = 20/x
2. Solve.
50x = 1200
x = 1200/50
3. Simplify.
x = 24 minutes
137.
Kacee has a total of $32,642 in her checking account. JoAnn has a total of $21,982 in her checking account. What is the best estimate of how many more dollars Kacee's checking account contains than JoAnn's checking account contains?
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$11,000
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$10,000
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$8,000
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$400
Correct answer: $11,000
To find the best estimate, you would approximate the two values.
$32,642 is approximately $33,000 and $21,982 is approximately $22,000.
$33,000 - $22,000 = $11,000
138.
Read the passage then answer the question that follows.
Which of the following changes needs to be made in the passage?
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Sentence 5: Change “eruption” to “eruptions”
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Sentence 7: Change “affecting” to “affected”
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Sentence 5: Change “minutes” to “minute”
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Sentence 3: Change “it’s” to “its”
Correct answer: Sentence 5: Change “eruption” to “eruptions”
Sentence 5 needs to have the word “eruption” changed to “eruptions.” The plural subject “intervals” requires the use of a plural verb: “eruptions.”
The other suggested changes are not needed within the passage.
139.
Use the excerpt from an index to answer the question that follows.
Changes, coping with
amount of, 166
checklist for, 169
control, loss of, 164
doubts about the past, 166
failure, fear of, 166
managing effectively, 166-169
resentments, past, 166
resistance, causes, 165-166
ripple effects, 166, 167
On what page(s) would you find information about how to cope with the fear of change?
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166
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166-169
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165-166
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165
Correct answer: 166
The category of "failure, fear of" is where you could find general information on how to cope with the fear of change.
140.
Read the passage then answer the question that follows.
Which of the following is a nonstandard sentence?
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Sentence 7
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Sentence 2
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Sentence 4
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Sentence 6
Correct answer: Sentence 7
Sentence 7 contains a semicolon error, which makes it a nonstandard sentence. The semicolon in Sentence 7 should be replaced with a colon. Colons are used to introduce a list. Sentences 2, 4, and 6 are written as standard sentences.