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Quiz Session - Attempts With Random Questions

FTCE Exam Questions

Page 5 of 31

81.

Read the passage, then answer the question that follows. 

The author’s main point of the passage is:

  • It is important to wear your seat belt

  • Parents should listen to their children

  • Individuals die in vehicle accidents

  • Vehicle accidents cause spinal cord injuries

Correct answer: It is important to wear your seat belt

The author uses statistical facts to prove that it is important to wear your seat belt. 

The other answer choices are all true, but are not central to the overall theme of the passage.

82.

During a fourth grade science lab, the classroom teacher, Ms. Hicks, asked Sonja to explain the transformations that occur between water, ice, and steam. Sonja replied, "Steam is made from hot water." Ms. Hicks nodded, and asked Sonja to explain how adding heat to water creates steam. 

What class discussion strategy has Ms. Hicks utilized?

  • Probing

  • Redirecting

  • Drawing inferences

  • Active listening

Correct answer: Probing

Probing is a way of eliciting more information from students. By elaborating on her answer, the student, Sonja, is clarifying her own understanding of the transformation from water to steam.

83.

If the diameter of a circle is 50 inches, what is the radius?

  • 25

  • 5

  • 10

  • 100

Correct answer: 25

The diameter of a circle is twice the length of the radius, or the radius is half the length of the diameter:

50 x 1/2 = 25

84.

Read the passage, then answer the question that follows.

Who is the intended audience of this passage?

  • Adults with young children

  • Astronomers

  • High school students

  • Young children

Correct answer: Adults with young children

The passage provides instructions for adults with young children ("parents and caregivers") about the solar eclipse. 

While the topic is astronomy related, the passage is not targeted at astronomers.

85.

Mr. DeSantis has developed a science lesson in which students will identify seeds, plant them, and observe the growth of vegetable plants. During this process, students will identify the steps to take to ensure healthy plants, and adjust their strategies to maintain the health of the plants. They will record their actions and use the information to plan a follow-up activity. 

What philosophy of education has Mr. DeSantis subscribed to in developing this lesson?

  • Pragmatism

  • Realism

  • Existentialism

  • Progressivism

Correct answer: Pragmatism

Pragmatism emphasizes problem solving, hands-on activities, and developing strategies to be applied to future problems. In this lesson, students interact with learning materials and track their own progress to develop strategies to be applied to follow-up activities.

86.

A triangle's three sides are labeled AB, BC and AC. AB's length is 5x + 2. BC's length is x + 3. AC's length is 3x-1. What is the perimeter of the triangle?

  • 9x + 4

  • 8x + 4

  • 8x + 3

  • 4x + 5

Correct answer: 9x + 4

To find the perimeter of the triangle, you will need to add the lengths of each side of the triangle. The mathematical expression becomes (5x+2) + (x+3) + (3x-1).

You will then need to simplify the expression:

5x + x + 3x + 2 + 3 - 1 = 9x + 4

87.

View the supporting details to answer the following question.

Which of the following can be concluded from the table provided?

  • The total number of students from 9th to 12th grade who have cell phones

  • The percentage of 9th grade students with cell phones

  • The total number of students in 9th, 10th, 11th, and 12th grade

  • How many more students are in the 12th grade than any other grade in the school

Correct answer: The total number of students from 9th to 12th grade who have cell phones

You can add up the total number of students who have a cell phone in each grade. 

You do not know the total number of students enrolled in each grade, so you cannot determine the percentages for each grade, nor can you determine which grade has more students.

88.

A teacher wants to use a local controversy over whether to replace a boardwalk area destroyed by a recent storm. The boardwalk was developed over 100 years ago, and replacing it will be expensive. The teacher poses the question, "Under what circumstances should public money be used to replace historical structures?" 

Why has the teacher posed this question?

  • To create an opportunity for students to engage in critical thinking about the issue at the basis of the controversy

  • To check students' prior knowledge of the boardwalk controversy

  • To generate a list of reasons why reconstructing the boardwalk would be a good idea

  • To check for understanding and confirm that all students understand the key issues related to the controversy

Correct answer: To create an opportunity for students to engage in critical thinking about the issue at the basis of the controversy

The teacher's question is intended to create an opportunity for inquiry. By generalizing the issue, the teacher has encouraged critical and reflective thinking outside of the specifics of the boardwalk controversy. Transitioning from general inquiry to the specific question of the boardwalk will encourage analysis and synthesis.

89.

This year, a camera salesman sold a total of $210,000 worth of camera equipment. This represents a 30% increase from the year before. What was the value of his sales last year?

  • $161,538

  • $273,000

  • $149,200

  • $188,542

  • $170,003

Correct answer: $161,538

1. Convert the percentage to a decimal. Since $210,000 represents 30% more than last year, it is equal to 130%.

130%/100 = 1.30

2. Set up an equation, with x representing the amount the camera salesman sold last year.

210,000 = 1.30x

3. Solve for x.

210,000/1.30 = x

x = $161,538

90.

The scatter plot displays the number of visitors to the beach and the average daily temperature.

What is the average number of beach visitors per day when the temperature is at least 88 degrees but no higher than 92 degrees?

  • 475 visitors

  • 450 visitors

  • 425 visitors

  • 500 visitors

  • 325 visitors

Correct answer: 475 visitors

1. Add the number of beach visitors per day for temperatures from 88 to 92 degrees.

450 + 525 + 450 = 1425

2. Divide this by three since there are only three data points.

1425/3 = 475 visitors

91.

The hypotenuse of a 30-60-90 triangle is 24 meters. What is the measure of the longer leg?

  • 12√3 m

  • 24√3 m

  • 12 m

  • 2√3 m

  • 2 m

Correct answer: 12√3 m

1. In a 30°−60°−90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.

2 × length of shorter leg = 24 meters

length of shorter leg = 12 m

2. In a 30-60-90 triangle, the longer leg is √3 times the measure of the shorter leg.

length of longer leg = 12√3 m

92.

A sixth grade math teacher is assessing her students' understanding of a recently completed unit by assigning a project students will complete at home. She has handed out the project instructions and rubric. 

What is the best way for her to ensure all of her students understand the project?

  • The teacher should read the directions aloud, and read and paraphrase each score point on the rubric

  • The teacher should ask students to read over the materials and raise their hands if they have questions

  • The teacher should ask students to find partners and read the instructions to each other until they feel confident in their understanding

  • The teacher should ask students to read the materials and develop three open-ended questions about the instructions for the assignment. In pairs or groups, students should question each other on their understanding.

Correct answer: The teacher should read the directions aloud, and read and paraphrase each score point on the rubric

Whenever written instructions are presented to a class, they should be presented orally as well. Oral presentation of instructions can also be accompanied by pictograms or a visual representation of instructions that students can follow independently.

93.

Read the sentence, then choose the correct capitalization option. 

The Senator from Ohio is being interviewed on NBC tonight.

  • senator from Ohio … NBC

  • Senator from Ohio … nbc

  • senator from Ohio … nbc

  • No change is necessary

Correct answer: senator from Ohio … NBC

The correct answer choice is “senator from Ohio … NBC.” According to the standard capitalization rules, a general term that stands alone or comes before the specific name is not capitalized. The call letters used for a TV station are capitalized.

94.

When the sum of 1.8912 and 3.1846 is rounded to the nearest hundredth, the result is:

  • 5.08

  • 5.07

  • 5.1

  • 5.076

Correct answer: 5.08

First, the answer must be rounded to the nearest hundredth, so eliminate answer choices 5.1 and 5.076.

Next, add the two values together. Do not round yet. You are looking to round the sum, not the individual numbers. The equation 1.8912 + 3.1846 yields a result of 5.0758. Now, you can round to the nearest hundredth; the 5 digit in the thousandths place indicates that you need to round up.

The correct answer is 5.08. If you rounded each number initially, the values would be 1.89 and 3.18, and the sum would be 5.07.

95.

Choose the option that produces a clear and precise sentence from the words below.

Bo Jackson was a man who was an American football and baseball player.

  • Bo Jackson was an American football and baseball player.

  • The man Bo Jackson was an American football and baseball player.

  • Bo Jackson, a man who was an American football and baseball player.

  • No change is necessary

Correct answer: Bo Jackson was an American football and baseball player.

The sentence that contains “Bo Jackson was an American” makes the statement in the most direct way possible and represents correct standard use. 

The original sentence contains the obvious and redundant words “was a man who.” The other two answer choices are also unnecessarily wordy.

96.

Mrs. Smith, an art teacher, is demonstrating a project to her class. As she models the project, she offers multiple options for each step and explains which steps can be completed simultaneously. After the demonstration, most of the students begin the project without hesitation, but one student, Rachel, seems to be unable to proceed. 

What is a likely reason for the trouble Rachel is encountering?

  • Rachel is a left or analytical learner who benefits from step by step instructions. She can be confused by instructions that engage several parts of the task simultaneously.

  • Rachel is an auditory learner who would benefit from hearing the instructions without the distraction of watching the model.

  • Rachel is a kinesthetic learner who would benefit from participating in the modeling of the project.

  • Rachel is disengaged because of cultural differences that make it difficult for her to understand the purpose of the lesson.

Correct answer: Rachel is a left or analytical learner who benefits from step by step instructions. She can be confused by instructions that engage several parts of the task simultaneously.

Left or analytical learners benefit from step by step instructions, often consider themselves not creative, and prefer to work independently. Providing instructions in different ways will reach all students, regardless of their learning styles.

97.

Marcia scored 24% of her basketball team's points in the championship game. If Marcia scored 18 points, and the opposing team scored 76 points, how many points did Marcia's team score?

  • 75

  • 54

  • 58

  • 66

  • 74

Correct answer: 75 

1. Convert 24% to a decimal.

24/100 = 0.24

2. Divide 18 by 0.24

18/0.24 = 75

Marcia's team scored 75 points. The number of points the opposing team scored is irrelevant.

98.

Lillian took six tests during one semester of math class. What is the range of her test scores?

68 87 81 93 89 75

  • 25

  • 82

  • 84

  • 93

  • 12

Correct answer: 25

The range of a set of numbers is the difference between the highest and lowest scores.

1. Order the numbers from least to greatest.

68 75 81 87 89 93

2. Subtract the lowest score from the highest.

93 - 68 =  25

99.

Jenna wants to estimate the total amount of TV she's watched this week. She estimates that she has watched 23 minutes of advertisements, which makes up 17% of her TV watching time. 

How much television has she watched this week?

  • 135 minutes

  • 391 minutes

  • 27 minutes

  • 115 minutes

Correct answer: 135 minutes

We can solve for x by setting up the equation as follows:

  • 23 = x (17%)
  • 23 = x (.17)

Divide both sides by 0.17:

  • (23/.17) = x

Solve:

  • 135 = x

100.

Solve to find the improper fraction:

4 (4/5) / (3/4)

  • 64/15

  • 4 2/5

  • 15/64

  • 15/12

Correct answer: 64/15

4 (4/5) / (3/4)

First, invert and multiply.

4 x 4/5 x 4/3

Apply the rule a/b x c/d = ac/bd.

4 x 4 x 4 / 5 x 3

Simplify 4 x 4 x 4 to 64.

64 / 5 x 3

Simplify 5 x 3 to 15

64/15

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