FTCE Exam Questions

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141.

Jason scored an 80 in math, a 90 in writing, a 75 in history, and a 95 in science. What was Jason's average score for his four classes?

  • 85

  • 78

  • 83

  • 88

Correct answer: 85

To find the average, you take the sum of the class scores and divide it by the number of classes.

  • 80 + 90 + 75 + 95 = 340
  • 340 ÷ 4 = 85

142.

Use the graph provided to answer the following question.

How many more people own cats than rabbits and hamsters combined?

  • 2

  • 7

  • 6

  • 3

  • 1

Correct answer: 2

1. Gather information from the bar graph.

The graph shows that 11 people own cats, 4 people own rabbits, and 5 people own hamsters. 

2. Add the people who own rabbits to the people who own hamsters.

4 + 5 = 9

3. Subtract from the people who own cats.

11 - 9 = 2

143.

Read the passage, then answer the question that follows.

Which of the following would aid the student the most?

  • A book on English usage

  • A thesaurus

  • A book on punctuation

  • A dictionary

Correct answer: A book on English usage

A book on language usage would help the student use the correct syntax for his or her report.

144.

If 9x = 18 + 3x, what is the value of 7x?

  • 21

  • 3

  • 8

  • 9

Correct answer: 21

The question asks for the value of 7x. First, solve for x:

  • 9x = 18 + 3x
  • 6x = 18
  • x = 3

Now, find the value of 7x:

  • 7 x 3 = 21

145.

Solve:

(2/5) x (5/8)

  • 1/4

  • 16/25

  • 5/8

  • 25/16

Correct answer: 1/4

To multiply a fraction, we multiply the numerators and the denominators. 

2/5 x 5/8 = 10/40

Which can be reduced to 1/4.

146.

A third grade classroom teacher is developing a diagnostic assessment to determine her students' current understanding of three branches of the American federal government. Which type of question would be least effective as a diagnostic tool?

  • True or false questions

  • Multiple choice questions

  • Matching questions

  • Fill-in-the blank questions

Correct answer: True or false questions

True or false questions offer little diagnostic value, as it is difficult to determine if a student truly understands the material, or is simply able to choose the correct answer more frequently than the incorrect answer.

147.

Choose the sentence option that demonstrates proper pronoun usage.

  • He took her new car for a drive.

  • He took your new car for a drive.

  • You took her new car for a drive.

  • He took my new car for a drive.

Correct answer: He took her new car for a drive.

The sentence that contains appropriate pronoun usage is “He took her new car for a drive.” This sentence is the only option that uses the same point of view. “He” and “her” are both third person. “He” is third person, “your” is second person, “you” is second person, “her” is third person, and “my” is first person.

148.

A middle grade math teacher is planning a lesson on factoring quadratic equations. Which method of teaching will be most effective in presenting the steps in completing this type of equation?

  • Direct instruction

  • Lecture

  • Constructivist instruction

  • Inquiry learning

Correct answer: Direct instruction

Direct instruction is well suited for teaching information that all students must master. In direct instruction, the teacher presents information step by step, from least to most complex, and confirms understanding throughout the presentation. To teach a specific mathematical process, direct instruction is most appropriate.

149.

Mr. Artore overhears two male students in the hall discussing their home and careers class. One of the boys explains that he has enjoyed the recent unit on baking, and, as a result, thinks he may want to pursue a career as a pastry chef. The other boy disparages the first, and says, "Cooking is for girls. What kind of man wants to be a pastry chef?" 

How should Mr. Artore contribute to this conversation?

  • Mr. Artore should explain that many great chefs are men as well as women, and that there are no careers that are not appropriate for people of either gender

  • Mr. Artore should redirect the conversation to another topic on which the boys have shared views, like sports or recent television programs

  • Mr. Artore should explain that some careers are better suited for women than men

  • To avoid invading the students' privacy and violating the confidentiality policy, Mr. Artore should refrain from speaking to the boys

Correct answer: Mr. Artore should explain that many great chefs are men as well as women, and that there are no careers that are not appropriate for people of either gender

To further a culture of gender equity, Mr. Artore should assert that there are no jobs reserved exclusively for men or for women. To support his point, Mr. Artore should present information on both men and women in different occupations.

150.

A second grade teacher has asked students to create drawings to illustrate their understanding of a history lesson. What is the main problem with this assignment?

  • The assignment does not recognize differences in learning styles, as students without artistic ability will not be able to express their ideas as clearly and completely as those who have strong drawing skills.

  • The assignment requires materials that may not be available in the classroom.

  • The assignment cannot be differentiated for ESE or ESOL students.

  • The assignment does not assess students' writing ability.

Correct answer: The assignment does not recognize differences in learning styles, as students without artistic ability will not be able to express their ideas as clearly and completely as those who have strong drawing skills.

This question deals with classroom diversity. The teacher has not acknowledged that students have different learning styles and abilities. Students who are not strong artists will be limited in their ability to respond to the question, and their work will not completely or accurately reflect their understanding.

151.

Solve:

(1/6) + (7/8)

  • 25/24

  • 21/24

  • 2/7

  • 5/6

Correct answer: 25/24

We need to first obtain a common denominator, which in this case is 24:

  • 1/6 becomes 4/24
  • 7/8 becomes 21/24

Solve:

  • 4/24 + 21/24 = 25/24

152.

In a high school science course, the teacher called on a student and asked him to explain the results of an experiment completed during a lab period. The student hesitates, then offers an answer that is incorrect. 

How should the teacher respond?

  • The teacher should rephrase the question to signal that she'd like the student to try again

  • The teacher should not comment on the incorrect response, but should call on a different student

  • The teacher should indicate that the student response is incorrect and should call on another student

  • The teacher should answer the question and move on to another question so as not to confuse the other students in the class with incorrect information

Correct answer: The teacher should rephrase the question to signal that she'd like the student to try again

It is important that a student understand when his or her response is incorrect. By rephrasing the question, the teacher has encouraged the student to try again, and has not dismissed the student's initial effort.

153.

Read the sentence, then choose the correct punctuation option. 

My birthday presents weren’t exactly a surprise, after all, my husband can’t keep a secret.

  • My birthday presents weren’t exactly a surprise; after all, my husband can’t keep a secret.

  • My birthday presents weren’t exactly a surprise after all, my husband can’t keep a secret.

  • My birthday presents weren’t exactly a surprise; after all my husband can’t keep a secret.

  • No change is necessary

Correct answer: My birthday presents weren’t exactly a surprise; after all, my husband can’t keep a secret.

The sentence that uses punctuation correctly is: My birthday presents weren’t exactly a surprise; after all, my husband can’t keep a secret. A semicolon is used before a transitional phrase with a comma following it when the phrase connects two independent clauses in a compound sentence.

154.

If an orchard bears 2,000 apples every year, and the farmer sells 1,960 for $3 each. How much money does he have?

  • $5,880

  • $620

  • $1,963

  • $6,000

Correct answer: $5,880

If the farmer earns $3 per apple, he should earn 1,960 times that amount for 1,960 apples.

Therefore, he earns 1,960 x 3 = $5,880 for 1,960 apples.

155.

Which of the following options comes closest to representing the square root of 3?

  • 1.7

  • 1.1

  • 0.5

  • 2.1

Correct answer: 1.7

We know that the square root of 4 is 2. Therefore, the square root of 3 should be a number slightly less than 2. The closest option is 1.7, so that is the correct answer.

156.

Phillip has taken five tests in science and has a current grade average of 70. What is the sum total of the five tests that Phillip has taken?

  • 350

  • 300

  • 315

  • 340

Correct answer: 350

To find the sum total of the five tests, you will need to multiply the average score by the number of tests:

70 x 5 = 350

157.

After a class of fourth grade students have finished reading a section of a social studies text, the teacher writes the following questions on the board: Who? What? Where? When? Why? 

What after-reading strategy is she asking the students to complete?

  • Summarizing

  • Question generating

  • Graphic organizers

  • Going back to the text

Correct answer: Summarizing

Restating the main idea in one's own words enhances comprehension. An effective way to develop a summary is by answering questions that identify the key information in the text.

158.

Andrea answers 1,000 questions a day. By 9:30 AM, Andrea had already answered 250 questions, at 1:30 PM she had answered an additional 300 questions, and by 6:30 PM she had answered another 200 questions.

If Andrea answers 1,000 questions a day, how many more questions will she answer before the day is over?

  • 250 questions

  • 275 questions

  • 200 questions

  • 300 questions

Correct answer: 250 questions

You will need to subtract the total number of questions that Andrea has already answered from the initial number of 1,000 questions.

1,000 - 250 - 300 - 200 = 250

159.

What is the volume of the pyramid?

  • 480

  • 360

  • 720

  • 520

Correct answer: 480

V = lwh / 3

V = 12 x 12 x 10 / 3 = 480

V = 480

160.

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

Although Alisha developed an interest in winemaking, she does not grow grapes and has never fermented grape juice.

  • Although Alisha developed an interest in winemaking, she did not grow grapes and had never fermented grape juice.

  • Although Alisha developed an interest in winemaking, she hasn't ever grown grapes or having fermented grape juice.

  • Although Alisha developed an interest in winemaking, she will not grow grapes or fermented grape juice.

  • No change is necessary

Correct answer: Although Alisha developed an interest in winemaking, she did not grow grapes and had never fermented grape juice.

The original sentence uses present tense, and past tense would better follow in sequence with the past tense verb “developed.” Past tense is used correctly in the answer choice that contains “she did not grow grapes and had never fermented grape juice.” 

The other two sentence choices introduce unnecessary absolute phrases beginning with “it,” which makes the sentences wordy.