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FTCE Exam Questions
Page 3 of 31
41.
A new English teacher joins a group of veteran English teachers for twice-weekly meetings dedicated to reviewing student data and using that data to inform teaching practices. Which aspect of the learning strand of the IPDP does this activity represent?
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The professional learning communities strand
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The content focused strand
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The learning strategies strand
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The sustained professional learning strand
Correct answer: The professional learning communities strand
A professional learning community is a formal, organized group of faculty who share common student achievement goals and meet to review student data in order to guide development of more effective instructional strategies.
42.
A student researching astronomy begins reading a science book. He wants to find the book's first reference to the planet Neptune. Where should he look?
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The book's index
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The book's table of contents
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The book's preface
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The book's glossary
Correct answer: The book's index
The student would want to look in the book's index, starting with "N" for "Neptune." He could then find the first page where the word Neptune is referenced.
43.
Solve for x:
5(x-3) = 20
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7
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10
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8
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5
Correct answer: 7
Solve for x: 5(x-3) = 20
First, divide both sides by 5.
x-3 = 20/5
Simplify 20/5 to 4.
x - 3 = 4
Add 3 to both sides.
x = 4 + 3
Simplify 4 + 3 to 7
x = 7
44.
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?
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2, 1, and 3 only
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4, 1, and 3 only
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4, 2, 1, and 3
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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.
45.
Solve the following equation:
3a + 7 = -5
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a = -4
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a = 2
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a = 4
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a = 1
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a = -3
Correct answer: a = -4
1. Subtract 7 from both sides.
3a + 7 = -5
3a + 7 - 7 = -5 - 7
3a = -12
2. Divide both sides by 3.
3a = -12
3a ÷ 3 = -12 ÷ 3
a = -4
46.
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?
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2 miles
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6 miles
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4 miles
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11 miles
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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
47.
Read the sentence, then choose the correct punctuation option.
Today’s weather consisted of rain sleet snow, and hailstones.
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Today’s weather consisted of rain, sleet, snow, and hailstones.
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Todays weather consisted of rain, sleet, snow and hailstones.
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Today’s weather, consisted of rain, sleet snow, and hailstones.
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No change is necessary
Correct answer: Today’s weather consisted of rain, sleet, snow, and hailstones.
The sentence that uses punctuation correctly is: Today’s weather consisted of rain, sleet, snow, and hailstones. The comma is used to separate words in a series and takes the place of the word “and” in the series. It is common to use a comma before the final item in a series (snow, and hailstones.); otherwise, the omission of the comma can be confusing.
The word “Today” is showing possession of the word “weather;” therefore, it needs an apostrophe “s."
48.
Solve the following equation:
x2+ 6x + 5 = 0
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-5, -1
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1, 2
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-3, 2
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0, 4
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0, 0
Correct answer: -5, -1
1. Factor the quadratic equation.
x2+ 6x + 5 = 0
(x + 5)(x + 1) = 0
2. Set each factor equal to 0 and solve for x.
x + 5 = 0
x = -5
x + 1 = 0
x = -1
The solution is -5, -1.
49.
Read the passage, then answer the question that follows.
What can logically be concluded from this passage?
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Jim needed medical attention for his injury
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Jim has caring parents
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Jim was struck by a car
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Jim will require months of physical therapy
Correct answer: Jim needed medical attention for his injury
All that can be concluded from this passage is that Jim needed medical attention for his injury.
We don't know how he broke his arm, or how long the recovery time will take.
50.
Read the passage, then answer the question that follows.
Which of these is an opinion about the passage?
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The little boy cried because he saw blood, not because he was in pain
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The little boy was running
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The little boy fell down
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The little boy scraped his knee
Correct answer: The little boy cried because he saw blood, not because he was in pain
Facts are able to be supported by specific, verifiable details. Opinions are based on assumptions and people's perception of an incident.
In this case, the passage does not state why the little boy cried, so the statement is an opinion.
51.
Arrange in correct descending order:
5, 1/6, 280%
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5, 280%, 1/6
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280%, 1/6, 5
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5, 1/6, 280%
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1/6, 280%, 5
Correct answer: 5, 280%, 1/6
Let's convert all the values to decimals to determine the appropriate order:
- 5 = 5.0
- 1/6 = 0.16667
- 280% = 2.80
In descending order, the values would be:
5, 280%, 1/6
52.
Duchess, the female Labrador, had a litter of 11 puppies. When the puppies turned 6 weeks old, 2 of the puppies were adopted; at 8 weeks old, 2 more puppies were adopted; and at 10 weeks old, 4 puppies were adopted.
How many puppies does Duchess still have?
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3 puppies
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2 puppies
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4 puppies
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5 puppies
Correct answer: 3 puppies
You will need to subtract the total number of puppies that were adopted from the initial number of puppies:
11 - 2 - 2 - 4 = 3
53.
Mr. Arnold has a class of racially and ethnically diverse students. Which strategy would be most effective in building a cohesive learning community?
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Acknowledge and build on each student's unique background. Offer students the opportunity to share their unique points of view.
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Develop in-class competitions that allow students to showcase individual strengths.
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Group the students by ability.
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Avoid discussing racial, ethnic, or cultural differences during class.
Correct answer: Acknowledge and build on each student's unique background. Offer students the opportunity to share their unique points of view.
Ability groups and competition can lead to disharmony. The most effective way to build community is to allow each student to share aspects of his or her unique background, thereby allowing students to find similarities between their backgrounds.
54.
Read the sentence, then determine which of the answer choices is an error in diction, usage, idiom, or grammar.
The main purpose of deodorants, whether they come in the invisible or solid forms, is to keep your underarms dry.
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No error
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they come
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invisible or solid forms
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is
Correct answer: No error
This sentence does not contain an error. The identified answer options are all acceptable in standard written English. The pronoun “they” is plural to agree with its antecedent “deodorants,” and the verb “come” is also plural to agree with its subject “they.”
The answer option “invisible or solid forms” is idiomatic, and the verb “is” is singular to agree with its singular subject “purpose.”
55.
What is the area of the triangle in the graph?
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7.5
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12
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15
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9
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8.5
Correct answer: 7.5
1. Find the measurements of the triangle.
To find the area of a triangle, we only need to know the base and height. Based on the measurements in the graph, a is 5 and b is 3.
2. Find the area of the triangle.
Area = (1/2)(base)(height)
A = (1/2)(3)(5)
A = (1/2)(15) = 7 1/2, or 7.5
56.
Read the passage, then answer the question that follows.
This passage would most likely appear in:
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A sports magazine
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An editorial
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The Journal for Sports Medicine
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A business textbook
Correct answer: A sports magazine
The information is not too complex; therefore, the Journal for Sports Medicine and the business textbook options should be eliminated. Very little opinion, if any, is stated in the passage, so eliminate an editorial.
Since the information is described as recent, it would most likely appear in a sports magazine.
57.
Which is the most effective expression of the action element of an instructional objective?
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Students will list the steps in the scientific method
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Students will demonstrate understanding of the scientific method
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Students will know the scientific method
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Students will understand how the scientific method is applied to in-class laboratory assignments
Correct answer: Students will list the steps in the scientific method
The action verb "list" describes a specific action students will take to demonstrate their understanding.
The other choices do not include information on how students will demonstrate their understanding of the topic.
58.
In an early childhood classroom, the teacher notices two students, Alex and Sonja, playing in the same area. They are each engaged with their own puzzle. As they work on the puzzles, they will occasionally chat about their puzzles, and they have shown each other the pictures of the complete puzzles.
What type of play are Alex and Sonja engaged in?
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Associative play
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Parallel play
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Cooperative play
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Onlooker play
Correct answer: Associative play
In associative play, children play similar activities side-by-side with interaction such as talking or sharing, but are not jointly focused on an activity. This differs from parallel play as there is interaction.
59.
During the "Explore" step of the 5E model, what is the teacher's role?
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The teacher acts as facilitator as students work together in pairs or small groups to become directly involved with the lesson content
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The teacher observes students to evaluate progress toward instructional goals and steps in to providing additional instruction or activities as warranted
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The teacher, often through direct lecture, provides background information necessary to complete independent work
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The teacher provides extension activities that offer students the opportunity to make connections between current instructional content and prior knowledge
Correct answer: The teacher acts as facilitator as students work together in pairs or small groups to become directly involved with the lesson content
During the "Explore" stage of the 5E Model, the teacher serves as a facilitator to support students working in pairs or small groups. The students should be engaged in independent inquiry.
60.
Round the number to the nearest thousandth:
53.125942
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53.126
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53.125
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53.13
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53.1259
Correct answer: 53.126
The thousandths place is the third position to the right of the decimal place. When rounding, look at the number to the right of the place you are rounding to (in this case, the 9) to determine if you will round up or down. Since 9 is larger than 5, round up.
53.125942 --> 53.126