Praxis Core Exam Questions

Page 9 of 40

161.

What is the radius of a circle with a circumference of 32π units?

  • 16

  • 32

  • 22

  • 8

  • 12

Correct answer: 16

1. Use the formula for circumference and solve for r.

C = 2πr

32π = 2πr

2. Divide each side by 2π.

32π/2π = 2πr/2π

16 = r

 r = 16

162.

Use the table of contents to answer the question that follows.

Power Tools for Measurement
Measurement Planning Worksheet, 162
CTQ Tree, 164
Stratification Factors, 165
Measurement Assessment Tree, 166
Operational Definition Worksheet, 167
Process and Population Sampling, 170
Daily and Weekly Sampling Charts, 174
Checksheet Development Instructions, 175

On what page would you find information on how to use and implement a CTQ Tree?

  • 164

  • 162

  • 165

  • 167

  • 175

Correct answer: 164

Information on how to use and implement a CTQ Tree can be found on page 164.

163.

What is the best estimate of 5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50 + 55?

  • 350

  • 50

  • 150

  • 450

  • 600

Correct answer: 350

There are 11 numbers. If all 11 were equal to 5, the sum would be 55. Therefore, you can eliminate 50.

If all 11 were equal to 55, the sum would be 605. Therefore, you can eliminate 600.

The middle value is around 30.

30 * 11 is approximately 350, which is the correct answer.

164.

The sentence below contains four portions that are identified with quotation marks. Read the sentence and determine which portion contains an error in diction, usage, idiom, or grammar.

“During” the registration process, the college professors “have agreement” that athletes must “be given” the opportunity “to schedule” their classes first.

  • Have agreement

  • During

  • Be given

  • To schedule

  • No error

Correct answer: Have agreement

This sentence contains an error in its second clause. The second clause requires the use of a verb. Thus, “have agreement” should be rewritten as “have agreed.” 

The preposition “during” is used appropriately as it is showing a relationship with its object, “registration process.” The verb “given” is being linked appropriately with “be,” and the verb “schedule” is being used appropriately with the infinitive “to.”

165.

Read the draft of the essay and then answer the following question.

What is the best way to combine Sentences 6 and 7?

  • Instead, out of curiosity, she visited a zoo where she was immediately drawn to the elephants

  • Instead, out of curiosity, she visited a zoo; at that zoo she was immediately drawn to the elephants

  • Instead, out of curiosity, she visited a zoo, whereat Payne was immediately drawn to the elephants

  • Instead, she visited a zoo where she was drawn to the elephants immediately out of curiosity

  • Instead, out of curiosity, she was visiting a zoo where she was immediately drawn to the elephants

Correct answer: Instead, out of curiosity, she visited a zoo where she was immediately drawn to the elephants

The most idiomatically correct way to combine Sentences 6 and 7 is to remove "At the zoo" at the beginning of Sentence 7 and replace it with "where." This sounds less choppy than the two previously-divided sentences.

"Instead, out of curiosity, she visited a zoo; at that zoo she was immediately drawn to the elephants" is incorrect because, though it is grammatically correct, it is not the smoothest-sounding combination of the sentences. "Instead, out of curiosity, she visited a zoo, whereat Payne was immediately drawn to the elephants" is incorrect because "whereat" is not a word. "Instead, she visited a zoo where she was drawn to the elephants immediately out of curiosity" is incorrect because the order of the words sounds awkward. "Instead, out of curiosity, she was visiting a zoo where she was immediately drawn to the elephants" is incorrect because the verb tenses are not in agreement.

166.

Solve for m if n = -4:

n = 4m2 - 10m + 2

  • 3/2, 1

  • 1, 0

  • -3/2, 0

  • -1, 1

  • 0, 4

Correct answer: 3/2, 1

1. Insert the value for into the equation.

-4 = 4m2 - 10m + 2

2. Add 4 to both sides.

-4 + 4 = 4m2 - 10m + 2 + 4

0 = 4m2 - 10+ 6

3. Factor.

(2m - 3)(2m - 2) = 0

4. Set each factor equivalent to 0 and solve for m.

2m - 3 = 0

2m = 3

m = 3/2

2m - 2 = 0

2m = 2

m = 1

167.

In the citation shown, which of the following is cited?

Hughes, Jane C., Elizabeth V. Brestan, and Linda Anne Valle. "Problem-Solving Interactions between Mothers and Children." Child and Family Behavior Therapy 26.1 (2004): 1-16. Print.

  • A journal article

  • A book

  • A newspaper article

  • A speech

  • An online blog entry

Correct answer: A journal article

When a journal article is cited, the authors of the article are listed first, followed by the title of the article. The name of the journal then follows, then the volume number, the year of publication, and the page numbers of the article.

  • When a book is cited, generally the author's name is listed first, followed by the title, the location of publication, the publishing company, and the year of publication.
  • When a newspaper article is cited, the author's name is listed first, followed by the title of the article, the name of the publication, the date of publication, and the page number(s).
  • When a speech is cited, the name of the speaker is cited first, followed by the name of the speech, the organization, the location of the speech, and the date the speech was delivered.
  • When a blog is cited, the title of the blog entry is cited, followed by the title of the website, the date of publication, and the date the entry was read.

168.

65 less than 2 times a number is 53. What is the number?

  • 59

  • -6

  • 28

  • 89

  • 236

Correct answer: 59

The algebraic equation is 2x - 65 = 53. To solve the equation, add 65 to both sides of the equation, giving you 2x = 118.

Then, divide both sides by 2 to get x = 59.

169.

Choose the answer that expresses most effectively what is presented in the original sentence.

Pablo Picasso was one of the first modern artists who people showed their appreciation for buying his paintings en masse.

  • For whom people showed their appreciation by buying

  • Who people showed their appreciation for buying

  • Who people were showing their appreciation for buying

  • For whom people to show their appreciation by buying

  • For whom people showed their appreciation to buy

Correct answer: For whom people showed their appreciation by buying

This is the only answer choice in which all the prepositions and verb forms agree. The correct version of the sentence reads, "Pablo Picasso was one of the first modern artists for whom people showed their appreciation by buying his paintings en masse."

"Who people showed their appreciation for buying" is incorrect because it's constructed to imply that people had an appreciation for the act of buying paintings rather than an appreciation for Picasso. "Who people were showing their appreciation for buying" is incorrect because the past-progressive form of the verb is unnecessary. "For whom people to show their appreciation by buying" is incorrect because the infinitive of the verb "to show" doesn't make sense in context. "For whom people showed their appreciation to buy" is incorrect because people showed their appreciation by buying Picasso's paintings, so you need "by buying" rather than "to buy."

170.

What is the perimeter of a rectangle with a length of 13 and a width of 6?

  • 38

  • 19

  • 78

  • 112

  • 136

Correct answer: 38

The perimeter of a rectangle is the sum of all its sides. To get the perimeter, just total the sides of the rectangle: 13 + 13 + 6 + 6 = 38.

171.

If 4x - 2 = 22, then what does x equal?

  • 6

  • 3

  • 4

  • 5

  • 8

Correct answer: 6

First, add 2 to each side of the equation: 4x = 24.

Now, divide each side of the equation by 4: x = 6.

172.

Read the passage, then answer the following question.

Which of the following statements would the author most likely support?

  • "The Internet is a valuable research tool."

  • "How-to books are informative and helpful."

  • "Purchasing a how-to book will help you complete a DIY project."

  • "How-to books are worth their weight in gold."

  • "How-to books are more valuable than Internet research."

Correct answer: "The Internet is a valuable research tool."

The author states that you can find everything you need to know by using the Internet. Thus, the author would most likely agree that the Internet is a valuable research tool.

173.

The sentence below contains four portions that are identified with quotation marks. Read the sentence and determine which portion contains an error in diction, usage, idiom, or grammar.

The publisher Dan Jones was an acquaintance “of the writer” John Swaro; “he” “would entertain” many other writers “at” a small lake house in the Great Lakes Region.

  • He

  • Of the writer

  • Would entertain

  • At

  • No error

Correct answer: He

The pronoun “he” does not have a clear antecedent; it could refer to either Dan or John. 

The prepositional phrase “of the writer” is used appropriately, and the preposition “at” is idiomatically correct. The auxiliary verb “would” is used appropriately to show the proper tense of the main verb “entertain.”

174.

Read the passage, then answer the following question.

The passage implies that major cities are promoting the use of bicycles because:

  • It may help reduce pollution

  • It will reduce their obesity rate

  • It will reduce their vehicle accidents

  • It will make their streets less congested

  • It may help with the economy

Correct answer: It may help reduce pollution

This statement can be found in sentence 10.

175.

If 3n - 3 > 33, which of the following must be true?

  • n > 12

  • n > 36

  • n > 24

  • n > 8

  • n < 8

Correct answer: n > 12

Add 3 to both sides of the equation: 3n > 36

Divide both sides of the equation by 3: n > 12

176.

Read the passage and then answer the following question.

According to the passage, farmers blamed all of the following for causing their economic struggles following the Civil War except:

  • The weather

  • The railroad companies

  • The banks

  • The tax system

  • The tariffs

Correct answer: The weather

The first paragraph of the passage describes the financial hardship farmers were subject to after the Civil War, and lists the various institutions the farmers blamed for this economic situation. The weather is not one of the things the farmers blamed, and the author of the passage does not indicate that the weather played any role in the farmers' financial struggles.

In the first paragraph, the passage clearly states that the farmers did blame their high debt on the railroad companies, the banks, the tax system, and the tariffs.

177.

What is the midpoint between (0, 8) and (6, -4)?

  • (3, 2)

  • (0, 0)

  • (-1, 3)

  • (4, -2)

  • (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).

178.

View the supporting details to answer the following question.

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

  • The total number of Facebook "Likes" from January to June

  • The number of females that "Liked" the Facebook page

  • The number of males that "Liked" the Facebook page

  • The number of possible Facebook "Likes" from January to June

Correct answer: The total number of Facebook "Likes" from January to June

From the information given, you could conclude the total number of Facebook "Likes" from January to June. You would achieve this by adding up the total number of "Likes" for each of the months.

179.

Choose the answer that expresses most effectively what is presented in the original sentence.

Having written his sister a number of times, an attempt was made to call her in Europe.

  • Having written his sister a number of times, he attempted

  • Having written his sister a number of times, an attempt was made

  • Having written his sister a number of times; an attempt was made

  • Having written his sister a number of times, therefore an attempt was made

  • Having written his sister a number of times an attempt was made

Correct answer: Having written his sister a number of times, he attempted

In this sentence, the modifier needs to attach to who or what wrote his sister; as written, that subject is "attempt" and clearly an attempt can't write something. Opening the independent clause with "he" makes sense.

"Having written his sister a number of times, an attempt was made" is incorrect because the "attempt" isn't who or what spotted the skyline. "Having written his sister a number of times; an attempt was made" is incorrect because neither clause is independent. "Having written his sister a number of times, therefore an attempt was made" is incorrect because this answer is a comma splice as "therefore" is not a conjunction. "Having written his sister a number of times an attempt was made" is incorrect because it is a long participial phrase rather than a complete sentence.

180.

The sentence below contains four portions that are identified with quotation marks. Read the sentence and determine which portion contains an error in diction, usage, idiom, or grammar.

A 500-yard dash is a race “in which” each athlete “will have to” compete “against” every “other” athlete.

  • Will have to

  • In which

  • Against

  • Other

  • No error

Correct answer: Will have to

This sentence does not require the use of future tense. The phrase “will have to” should be replaced with “has to” as the sentence is being used to describe how a 500-yard dash works. 

The prepositional phrase “in which,” the preposition “against,” and the adjective “other” are all used appropriately.