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Quiz Session - Attempts With Random Questions

FTCE Exam Questions

Page 2 of 31

21.

Each of the following is a multiple of 8 except:

  • 54,308,324

  • 54,234,800

  • 76,760

  • 98,321,873,968

Correct answer: 54,308,324

If the last 3 digits of any number form a number that is divisible by 8, then the entire number is divisible by 8. 

  • The last 3 digits of 54,234,800 are 800, which is divisible by 8 (8 × 100 = 800).
  • The last 3 digits of 76,760 are 760, which is divisible by 8 (8 × 95 = 760).
  • The last 3 digits of 98,321,873,968 are 968, which is divisible by 8 (8 × 121 = 968).

The last 3 digits of 54,308,324 are 324, which is not divisible by 8 (324 ÷ 8 = 40.5).

22.

Which action would be considered a violation of the Principles of Professional Conduct?

  • Accepting the use of a vacation home belonging to the parent of a student as a reward for helping a student earn a high score on a recent test

  • Accepting a small Christmas gift from a student

  • Taking advantage of a retailer's teacher discount program to buy a new computer for home use

  • Giving a box of crayons to a student who has lost hers

Correct answer: Accepting the use of a vacation home belonging to the parent of a student as a reward for helping a student earn a high score on a recent test

Under the Principles of Professional Conduct, a teacher shall accept no gift or gratuities that could influence their professional judgment. Since providing extra help is a means of improving student performance, teachers are already paid for this activity. Privately tutoring a student is a conflict of interest.

23.

Find the mean for the following data set:

3, 7, 7, 12, 13, 16, 16, 16, 19, 21

  • 13

  • 16

  • 18

  • 12

  • 10

Correct answer: 13

1. Add the numbers together.

3 + 7 + 7 + 12 + 13 + 16 + 16 + 16 + 19 + 21 = 130

2. Divide by the number of items (10).

130/10 = 13

24.

Two babies were born on Tuesday. The first baby weighed 6 1/4 pounds, and the second baby weighed 7 3/8 pounds. What was the total weight of the two babies born on Tuesday?

  • 13 5/8 pounds

  • 13 1/8 pounds

  • 42 1/3 pounds

  • 42 5/8 pounds

Correct answer: 13 5/8 pounds

Add the two fractional amounts together. In order to get the same denominator for each fraction, change 1/4 to 2/8.

Then, add the numbers. The result is 13 5/8 pounds:

6 2/8 + 7 3/8 = 13 5/8

25.

A middle school science teacher notices that one student, Robert, is disrupting his group with jokes and funny faces, and that none of the students in the group are taking notes. The teacher addresses Robert, "Robert, since you have failed the last three tests, and are in danger of repeating this class next year, I suggest you pay attention." 

When the teacher called Robert's attention to his academic progress in front of the class her actions were:

  • Inappropriate because she publicly shared Robert's grades in direct violation of FERPA legislation

  • Appropriate because peer pressure will likely cause Robert to be more attentive in class

  • Inappropriate because she did not give Robert specific information on how to improve his performance in class

  • Appropriate because she encouraged Robert to engage in metacognition about his current behavior and how he can adjust his approach to taking notes to more effectively understand required information

Correct answer: Inappropriate because she publicly shared Robert's grades in direct violation of FERPA legislation

This question refers to a teacher's professional conduct and ethics. The Family Education Rights and Privacy Act protects the privacy of student records. By announcing to the entire class that Robert has failed three tests, the teacher has divulged confidential information and violated Robert's rights.

26.

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

Visiting San Francisco for the first time, the sites most interesting to Justin were Alcatraz Island, the Golden Gate Bridge, and the Palace of Fine Arts.

  • Visiting San Francisco for the first time, Justin was most interested in Alcatraz Island, the Golden Gate Bridge, and the Palace of Fine Arts.

  • Visiting San Francisco for the first time, Justin found that the sites most interesting to him were Alcatraz Island, the Golden Gate Bridge, and the Palace of Fine Arts.

  • Visiting San Francisco for the first time, Justin was most interested in the sites of Alcatraz Island, the Golden Gate Bridge, and the Palace of Fine Arts.

  • No change is necessary

Correct answer: Visiting San Francisco for the first time, Justin was most interested in Alcatraz Island, the Golden Gate Bridge, and the Palace of Fine Arts.

The sentence containing “Justin was most interested in” conveys the meaning with the least wordiness. 

The initial sentence’s introductory participial phrase must be eliminated or followed immediately by the word modified. The other two sentence choices add words unnecessary to the meaning of the sentence.

27.

Read the passage, then answer the question that follows.

Which of the following best describes the main topic of the passage?

  • Audits are needed to ensure proper documentation and billing requirements are met.

  • High utilization claim audits will be scheduled weekly.

  • Contractors are committing fraud.

  • Millions of dollars are spent on high utilization claims.

Correct answer: Audits are needed to ensure proper documentation and billing requirements are met.

In the passage, the author describes the results of the initial audits and goes on to discuss how increased audits will reduce the number of improperly submitted claims. 

The other choices are all true, but do not address the central theme.

28.

Choose the word that is opposite in meaning to the word below. 

TRANQUIL

  • agitated

  • calm

  • serene

  • placid

Correct answer: agitated

The opposite of “tranquil” is “agitated.” The word “tranquil” means to be calm, serene, or placid. The word “agitated” is to be upset or disturbed.

29.

A first-year third grade teacher asks a counselor for advice on how to help a student who has a PMP. The teacher is concerned with how this student will be able to meet state and district standards and still receive the accommodations required of her plan. 

Consulting the counselor is most representative of which of the following?

  • As reflective practitioners, teachers should work within the professional learning community to enhance each student's academic performance

  • Teachers should avoid bias based on gender, socioeconomic status or disability when developing student achievement goals

  • Teachers should communicate high expectations to all students

  • Teachers should communicate learning goals for all students to all invested parties within the school community

Correct answer: As reflective practitioners, teachers should work within the professional learning community to enhance each student's academic performance

By asking the counselor for professional advice, this teacher demonstrates an interest in continuous improvement and demonstrates reflective practice. The teacher seeks opportunities to engage with the learning community to enhance students' academic performance.

30.

Which of the following students is demonstrating an internal locus of control?

  • A fifth grader who says, "I've read the entire chapter and made note cards. I'm ready for the social studies test."

  • A high school senior who says, "I wasn't accepted to Harvard because I don't have family connections, and that's all that matters with Ivy League schools."

  • A middle school student who says, "I didn't make the team because I was the last person to try out. The coach didn't even pay attention to me."

  • A ninth grader who says, "I will do well on today's test because I'm wearing my lucky shoes."

Correct answer: A fifth grader who says, "I've read the entire chapter and made note cards. I'm ready for the social studies test."

Students with an internal locus of control recognize their own efforts as the reason for personal success. 

Those with an external locus of control attribute success or failure to outside forces.

31.

Solve the following proportion:

7/84 = x/12

  • 1

  • 5

  • 14

  • 12

  • 7

Correct answer: 1

1. Cross multiply.

7/84 = x/12

7 × 12 = 84x

84 = 84x

2. Isolate x by dividing both sides by 84.

84/84 = 84x/84

3. Simplify.

84/84 = 84x/84

1 = x

32.

Read the passage, then answer the question that follows. 

Who is the intended audience of this passage?

  • The reader

  • The author

  • The old man

  • The school board

Correct answer: The reader

To find clues about the intended audience, analyze which facts are being presented. It is also important to determine if the passage addresses its audience at any point. In this case, the passage states "you, the reader" so that you can know that the reader is the intended audience.

33.

Read the sentence, then determine which of the answer choices contains an error in diction, usage, idiom, or grammar. 

In order to completely appreciate the effects of the process changes, one must measure and analyze the results of the affected area of the organization.

  • to completely appreciate

  • effects

  • affected

  • No error

Correct answer: to completely appreciate

“To completely appreciate” is incorrect, as the use of an infinitive “to appreciate” should never be split by any adverbial modifier “completely.”

The answer choice “effects” is used in the noun form, and the answer choice “affected,” is used in the adjective form.

34.

What is the sum of -9x, 4y, 2z, 5x, and -10y?

  • -4x - 6y + 2z

  • 5x + 6y - 2z

  • -x + 8y + 4z

  • -8xyz

  • -5x + 9y + z

Correct answer: -4x - 6y + 2z

Combine like terms to simplify.

-9x + 4y + 2z + 5x + -10y =

(-9x + 5x) + (4y - 10y) + 2z =

-4x - 6y + 2z

35.

What is the mode in the given set of data?

12 14 7 2 21 2 17 6

  • 2

  • 10

  • 19

  • 9

  • 17

Correct answer: 2

The mode is the number that appears the most often. All the numbers appear only once except for 2, so it is the correct answer.

36.

If the radius of a circle is 12.5 inches, what is the diameter of the circle?

  • 25 inches

  • 6.25 inches

  • 37.5 inches

  • 50 inches

Correct answer: 25 inches

The diameter of a circle is twice the length of the radius. Therefore, a 12.5 inch radius gives you a 25 inch diameter:

12.5 inches x 2 = 25 inches

37.

500 members of an organization were polled. 24% of participants said that Italian was their favorite type of cuisine, and 17% said that Greek was their favorite type of cuisine. How many participants stated that either Italian or Greek was their favorite type of cuisine?

  • 205

  • 85

  • 120

  • 295

  • 78

Correct answer: 205

1. Multiply each percentage to find how many participants preferred Italian or Greek food.

24% × 500 = 

0.24 × 500 = 120 participants preferred Italian

17% × 500 = 

0.17 × 500 = 85 participants preferred Greek

2. Add the two numbers together.

120 + 85 = 205 participants preferred Italian or Greek

38.

A high school science teacher wants to ensure that male and female students feel they have the same opportunities to excel in science. Which strategy would best help her achieve her goal?

  • The teacher should carefully monitor activities to ensure both boys and girls are taking leadership roles in group activities

  • The teacher should frequently remind students that both men and women can be successful in science

  • The teacher should give female students leadership roles in group work so that they can experience being authorities in science

  • The teacher should discourage male students from dominating class discussion

Correct answer: The teacher should carefully monitor activities to ensure both boys and girls are taking leadership roles in group activities

Gender equality requires that both male and female students have equal opportunities for success. 

The teacher should not intervene in a way to favor one gender over another, but should monitor that opportunities are equally available to all students.

39.

80 is 64% of what number?

  • 125

  • 104

  • 116

  • 112

  • 120

Correct answer: 125

1. Use x to represent the unknown number and write an equation.

80 = (64%)x

2. Convert 64% to a decimal.

64/100 = 0.64

3. Solve for x.

80 = 0.64x

x = 80/0.64

x = 125

40.

Jonathan mowed around the perimeter of the football field. The field was 360 feet long by 150 feet wide. If Jonathan mowed two laps around the field, how many feet did he mow?

  • 2,040 ft

  • 720 ft

  • 300 ft

  • 1,020 ft

Correct answer: 2,040 ft

Start by finding the perimeter of the field.

  • P = 2L + 2W
  • P = 2(360) + 2(150)
  • P = 720 + 300
  • P = 1,020

Then, multiply the number of laps by the perimeter of the field:

2 x 1,020 = 2,040 ft

Jonathan mowed a total of 2,040 ft.

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