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FTCE Exam Questions
Page 6 of 31
101.
Find the product of the following:
-2 × 3 × -7 × -4 × -1
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168
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-168
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-112
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109
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160
Correct answer: 168
1. First, remove the negative signs and find the product of the integers.
2 × 3 × 7 × 4 × 1 = 168
2. Because the number of negative integers in the problem is four (-2, -7, -4, and -1), an even number, the product is positive.
-2 × 3 × -7 × -4 × -1 =
-6 × -7 × -4 × -1 =
42 × -4 × -1 =
-168 × -1 = 168
102.
Tiffany is looking at a right triangle, where angle B is identified as being 42 degrees. How many degrees would angle C be, if angle A was the 90-degree angle?
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48
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228
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52
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42
Correct answer: 48
Every triangle contains 180 degrees. You will need to subtract the degrees of angles A and B to find the degrees of angle C:
180 - 90 - 42 = 48
103.
View the supporting details to answer the following question.
What is the average number of votes that each Class President Candidate received?
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80
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44
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64
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92
Correct answer: 80
In order to get the number of average votes, you need to first find the sum of the votes. The four numbers add to 320.
There are four candidates. Therefore, you will need to divide 320 by 4 to find the average of 80.
104.
Read the sentence, then choose the correct word choice option.
The speaker cited a verse from the Bible at the site where the children were killed.
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No change is necessary
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cited … cite
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sited … site
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sited … cite
Correct answer: No change is necessary
This sentence does not require any changes. The verb “cited” is used to show the speaker quoted a verse from a book. The noun “site” is used to show the location of the incident.
105.
Choose the option that produces a clear and precise sentence from the words below.
Seeing as how the sun went down, wouldn’t you prefer to go indoors for the remainder of the evening?
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Since the sun went down, wouldn’t you prefer to go indoors for the remainder of the evening?
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When the sun goes down, wouldn’t you prefer to go indoors for the remainder of the evening?
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Being as the sun went down, wouldn’t you prefer to go indoors for the remainder of the evening?
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No change is necessary
Correct answer: Since the sun went down, wouldn’t you prefer to go indoors for the remainder of the evening?
“Since the sun went down” shows correct time sequence and good reasoning.
“Seeing as how” and “Being as” are poor wording. “When” is the wrong time, logically, to go indoors for the remainder of the evening.
106.
The scatter plot displays the number of visitors to the beach and the average daily temperature.
What type of correlation does the scatter plot show?
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Positive correlation
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Negative correlation
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No correlation
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Curvilinear relationship
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Straight correlation
Correct answer: Positive correlation
A positive correlation is seen when coordinates are close to forming a straight line that rises up from left to right. Even though the line is not perfectly straight, the plot still shows a moderately positive correlation.
- A negative correlation would be seen if the coordinates form a straight line with one variable increasing as the other decreases
- If coordinates do not form any semblance of a line, then no correlation exists
- A curvilinear relationship is seen when the shape of the graph models a curve rather than a line
- Straight correlation is a fabricated term
107.
The line plot shows the shoe sizes of 7th grade students.
How many students have feet larger than a size 7?
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4
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0
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7
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3
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8
Correct answer: 4
According to the line plot, there are no students who wear a size 8, two students who wear a size 9, and two students who wear a size 10. Therefore, there are 4 students who have feet larger than a size 7.
108.
Which is often true of students who are socio-economically disadvantaged?
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They respond most effectively to immediate reinforcement
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They are focused on future success and less interested in immediate reinforcement
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They understand abstract concepts more readily than concrete ideas
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They prefer competition with other students to independent achievement
Correct answer: They respond most effectively to immediate reinforcement
Students who are socio-economically disadvantaged do not respond to delayed reinforcement. They tend to prefer concrete ideas to abstract concepts, avoid competition, and often don't come from family environments that focus on future achievements.
109.
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
On what page would you look to find information on how to get started making wine?
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1
-
21
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26
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122
Correct answer: 1
Information on how to get started making wine could be found under "Getting Started," page 1.
110.
Read the passage, then answer the question that follows.
Which of the following provides the best outline for the passage?
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A specific story is told, followed by general explanations
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A topic is given, then supported by specific examples
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An example is given, followed by specific explanations
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A theory is introduced, then supported by examples
Correct answer: A specific story is told, followed by general explanations
The passage starts with the story of Bryan Scott. From there, the reader learns about the development of classes to fit the needs of adult learners.
111.
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 the number of desired outcomes / the total number of possible 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.
112.
Read the passage, then answer the question that follows.
What is the main idea of this passage?
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Young children should not watch very much television because it could be harmful to them.
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Television violence is too high.
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Young children need to be in day care centers to get stimulation.
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Young children should never watch television.
Correct answer: Young children should not watch very much television because it could be harmful to them.
The main idea is about the quantity of television that children watch and that too much could be harmful.
While some of the other answers are true based on the passage, they are not the focus of the passage and, therefore, are not the main idea.
113.
Research has shown that what is true of external rewards?
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External rewards are unfair because an external reward that motivates one student may not motivate every student. Thus, not all students are being motivated equally.
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External rewards motivate both extrinsically and intrinsically motivated students equally.
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Tangible rewards can negatively impact extrinsically motivated learners.
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External rewards should be avoided as they tend to highlight socioeconomic differences between students.
Correct answer: External rewards are unfair because an external reward that motivates one student may not motivate every student. Thus, not all students are being motivated equally.
Since reactions to rewards vary from one student to another, research suggests that external rewards may not be fair as not all students are equally motivated by such rewards.
114.
Read the sentence, then determine which of the answer choices is an error in diction, usage, idiom, or grammar.
To teach a subject like math or science is one way to understand it; studying math or science is another.
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To teach
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like
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is
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No error
Correct answer: To teach
This sentence contains an error with parallelism. The answer choice “to teach” is not parallel with “studying.” “To teach” should be replaced with “Teaching” to make it a parallel clause.
The other answer choices all represent standard usage in written English. The preposition “like” is used to refer to the objects: “math” or “science.” The use of the singular verb “is” is used appropriately in the singular noun phrase.
115.
Mr. Haske, a high school math teacher, assigns homework three nights a week. When scoring the homework, he uses a check plus, check, or check minus to indicate each student's performance.
What step should Mr. Haske take to improve his process for assigning and grading homework?
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Mr. Haske should include detailed feedback to inform students what they are doing well and where they need improvement
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Mr. Haske should assign homework at least five nights a week
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Mr. Haske should make homework optional so that it is appealing to students seeking extra credit or enrichment beyond class instruction
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Mr. Haske should reserve homework only for those students who are inattentive in class, and not require it of students who participate during instruction
Correct answer: Mr. Haske should include detailed feedback to inform students what they are doing well and where they need improvement
Homework should be given frequently. Depending on the number of questions assigned, three assignments per week is likely appropriate. Optional or voluntary homework is appropriate for enrichment, but should be work that students are intrinsically motivated to complete. Homework should never be used as a punishment.
Mr. Haske should be providing detailed feedback on homework, so students are aware of how to improve.
116.
What is the midpoint between (0, 8) and (6, -4)?
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(3, 2)
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(0, 0)
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(-1, 3)
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(4, -2)
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(1, -1)
Correct answer: (3, 2)
1. Find the midpoint of the x axis.
(0 + 6)/2 = 6/2 = 3
2. Find the midpoint of the y axis.
(8 + -4)/2 = 4/2 = 2
Therefore, the midpoint is (3, 2).
117.
On a real number line, x = 3 and y = -9. What is the length of line XY?
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12
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-6
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6
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1
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-12
Correct answer: 12
The length of the line is found by adding the distances of each value from zero.
Distance of x from 0: 3
Distance of y from 0: 9
3 + 9 = 12
118.
Read the passage, then answer the question that follows.
Which of these is not a supporting detail in this passage?
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Excessive television viewing can be harmful for young children
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Television can cause increased violence and foul language
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Children who watch excessive television do not have time for independent play
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Young children can be easily influenced by television images
Correct answer: Excessive television viewing can be harmful for young children
The fact that excessive television viewing can be harmful for young children is the main idea of the passage (not a supporting detail).
The supporting details are the facts and opinions stated after the main idea in this passage.
119.
When 45.67 is multiplied by 100, which digit of the answer is in the hundreds place?
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5
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4
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6
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7
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3
Correct answer: 5
1. When multiplying a number expressed as a decimal by 100, move the decimal two places to the right.
45.67 × 100 = 4,567
2. The hundreds place is the third place to the left of the decimal point. 4,567 can be rewritten as 4567.0, so the digit in the third place to the left of the decimal point is 5.
120.
Read the passage, then answer the question that follows.
What is the best definition for the author’s use of the word “competent”?
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Skilled
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Qualified
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Adequate
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Suitable
Correct answer: Skilled
The author uses the word competent to describe how one will become skilled at thinking.