Praxis Core Exam Questions

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41.

1/5 is how many times greater than 1/100?

  • 20

  • 10

  • 15

  • 5

  • 50

Correct answer: 20

The mathematical expression would be:

1/5 ÷ 1/100 = 1/5 * 100/1 = 100/5 = 20

42.

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.

“Because” of the weather forecast, the coach did not “know whether” he “should reschedule” the practice “or not.”

  • No error

  • Because

  • Know if

  • Should reschedule

  • Or not

Correct answer: No error

This sentence contains no errors in diction, usage, idiom, or grammar. The sentence contains proper use of verb forms and uses the conjunction “because” properly to begin the sentence.

43.

Dave and Bryan rode a total of 235 miles today. If Dave rode 37 more miles than Bryan, how many miles did Bryan ride?

  • 99

  • 198

  • 136

  • 37

  • 76

Correct answer: 99

Backsolving is the easiest way to solve this problem. To backsolve, choose the answer choice that is the middle option to start with, and work toward the correct answer.

99 is the middle option in the answer bank. If Dave and Bryan rode a total of 235 miles and Bryan rode 99 miles, that would leave Dave riding 136 of the miles. Dave's 136 miles less Bryan's 99 miles equals 37 miles. Thus, you can determine Dave rode 37 more miles than Bryan.

You can also solve this problem by setting up the algebraic equation:

(37 + x) + x = 235

37 + 2x = 235

2x = 198

x = 99

44.

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.

“Many” thought it a clever strategy to assign the young princess the “control to” the estate; her innocent “observations” could soothe the “angriest” personalities.

  • Control to

  • Many

  • Observations

  • Angriest

  • No error

Correct answer: Control to

This sentence contains an idiom error. The sentence contains an idiomatic use of the phrase “control to.” The idiomatic use of “control to” is not correct and should be rewritten as “control of.” 

The superlative use of the adjective “angriest” is correct as it is describing several “personalities.” The singular verb “observations” agrees with its subject, “her.” The word “many” is used properly as a pronoun.

45.

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

Actually, there are many types of sirenians, all with distinctive tail structures.

  • All with

  • In which all have

  • Which all are having

  • All, with

  • All with,

Correct answer: All with

The sentence is correct the way it is. "All" refers to the types of sirenians and correctly follows the comma.

"In which all have" is incorrect because the addition of the word "in." "Which all are having" is incorrect because you need "have" in this context, not the participial form "having." "All, with" and "All with," are incorrect because they are incorrect uses of the comma.

46.

Read the passage and then answer the following question.

Which of the following best describes the organization of the passage?

  • Unfortunate circumstances take a fortunate turn of events

  • A traditional institution is redefined by the times

  • A careless error is corrected

  • Theory becomes reality

  • An unknown figure becomes a celebrity

Correct answer: Unfortunate circumstances take a fortunate turn of events

This passage describes unfortunate circumstances - the fact that Johns Hopkins, on the brink of completion, runs out of money. The author then continues to describe how this situation takes a fortunate turn of events, when women raise money for the institution's completion and are rewarded by the medical school being the first to admit women and men.

Johns Hopkins is not a 'traditional' school, as it has not opened yet in this passage. The author does not describe any careless errors, so this answer is incorrect. The statement 'theory becomes reality' does not describe any part of this passage, so it is also incorrect. 'An unknown figure becomes a celebrity' loosely describes this passage, as a group of women become the reason the medical school is finished, but it is not the best answer.

47.

If Shelly eats 3/8 of a pie and Charlie eats half as much as Shelly eats, what fraction of the pie is left?

  • 7/16

  • 9/16

  • 5/8

  • 7/8

  • 1/2

Correct answer: 7/16

1. Find the fraction of the pie that Charlie eats.

3/8 × 1/2 = 3/16

2. Change 3/8 to have the same denominator as 3/16.

(3 × 2)/(8 × 2) = 6/16 

3. Add the amount that Shelly eats to the amount that Charlie eats. 

6/16 + 3/16 = 9/16

4. Subtract the portion eaten from the total amount of pie.

1 - 9/16 = 

16/16 - 9/16 = 7/16

48.

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

A Textbook of Psychology
About the Author
Preface
Prologue: The Story of Psychology
Chapter 1: Thinking Critically with Psychological Science
Chapter 2: The Biology of Mind
Chapter 3: Consciousness and the Two-Track Mind
Chapter 4: Nature, Nurture, and Human Diversity
Chapter 5: Developing Through the Life Span
Appendix A: Careers in Psychology
Appendix B: Answers to Test Yourself Questions
Glossary
References
Name Index
Subject Index

Where can the reader look to find information regarding the author?

  • About the Author

  • Preface

  • Glossary

  • References

  • Name Index

Correct answer: About the Author

The section that contains information regarding the author of the textbook would be found under the section titled "About the Author."

49.

Read the passage and then answer the following question.

In this passage, the term avocations most nearly means:

  • Hobbies

  • Lives

  • Flaws

  • Beliefs

Correct answer: Hobbies

Avocations is a noun which means something a person does in addition to a principal occupation, especially for pleasure; hobby. It also means a person's regular occupation, calling, or vocation.

50.

Read the passage, then answer the following question.

The passage answers all of the following questions except:

  • What is the payment for a $30,000 home equity loan?

  • What was the old interest rate for home equity loans?

  • What will the new interest rate be for home equity loans?

  • When does the new home equity interest rate begin?

  • What is the term for a new home equity loan?

Correct answer: What is the payment for a $30,000 home equity loan?

The passage discusses the interest rates and the terms available for a home equity loan, but it does not state what a payment for a $30,000 home equity loan would be.

51.

Choose the option that best expresses the intended meaning of the quoted portion of the original sentence; this answer should use proper grammar, diction, sentence construction, and punctuation.

Camping in the wilderness, “the things that concerned John the most were” bears, bees, and snakes.

  • John was mostly concerned with

  • The things that concerned John the most were

  • John found the things that concerned him the most were

  • John was most concerned with the following things

  • The most concerning things to John were

Correct answer: John was mostly concerned with

The original sentence contains an error with the introductory participial phrase “Camping in the wilderness.” The introductory participial phrase must be eliminated or followed immediately by the word modified, “John”. The option “John was mostly concerned with” correctly follows the introductory participial phrase and conveys the meaning with the least wordiness.

52.

June uses her own car to travel for work. Within the last month, June made 5 trips to Columbus, and 8 trips to Cleveland. The mileage reimbursement is $0.50 per mile. The round trip to and from Columbus is 110 miles, and the round trip to and from Cleveland is 250 miles. June uses the following expression to calculate her mileage reimbursement for the trips:

5($0.50 x 110) + 8($0.50 x 250)

Which of the following expressions could June have also used?

  • 5 x $55.00 + 8 x $125.00

  • 13($0.50 x 360)

  • 5 + 8($0.50 x 110 + 250)

  • 5($0.50 x 250) x 8

Correct answer: 5 x $55.00 + 8 x $125.00

If you solve the expression given to you, you have $275.00 + $1,000.00 = $1,275.00. Therefore, the correct answer needs to produce a value of $1,275.00. 

The expression 5 x $55.00 + 8 x $125.00 = $1,275.00. This yields the same value as the given expression, so it is the correct answer.

13($0.50 x 360) would yield $2,340 as an answer.

5 + 8($0.50 x 110 + 250) would yield $2,445 as an answer.

5($0.50 x 250) x 8 would yield $5,000 as an answer.

53.

Read the passage, then answer the following question.

The main point of the passage is:

  • Ultra-deepwater drilling is successful

  • Drillships are inexpensive to purchase

  • Crude oil prices are increasing

  • Business models are simple to understand

  • Ultra-deepwater drilling is very concentrated

Correct answer: Ultra-deepwater drilling is successful

From the first sentence, the author writes about the success of ultra-deepwater drilling. The facts throughout the passage support its success. Therefore, ultra-deepwater drilling is successful is the main point of the passage.

The other answer choice statements are true, but they are not central to the overall theme of the passage.

54.

Choose the option that best expresses the intended meaning of the quoted portion of the original sentence; this answer should use proper grammar, diction, sentence construction, and punctuation.

“Being that your dog ran away,” wouldn’t you prefer to install a fence before you adopt another one?

  • Since your dog ran away

  • Being that your dog ran away

  • Seeing that your dog ran away

  • Knowing that your dog ran away

  • When your dog ran away

Correct answer: Since your dog ran away

The original sentence contains poor wording structure. “When” is the wrong time, logically, to install a fence. “Being, “Seeing,” and “Knowing” are all poor wording options. 

The option that shows correct time sequence and good reasoning is “Since your dog ran away.”

55.

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.

My little brother, under the impression that “he’s” movie-star material, “make” “frequent” “references to” his future fans.

  • Make

  • He’s

  • Frequent

  • No error

  • References to

Correct answer: Make

This sentence contains a subject-verb agreement error. The subject of the verb “make” is “brother,” which is singular and requires the use of a singular verb. The plural verb “make” should be replaced with the singular verb “makes.” 

The contraction “he’s” is used appropriately for the word group “he is.” The other two options are both appropriate uses of formal written English.

56.

What is the eleventh term of the following sequence?

5, 6, 4, 5, 3, 4...

  • 0

  • -2

  • 1

  • 3

  • -1

Correct answer: 0

1. Find the relationship between the first two terms.

5 + 1 = 6

2. Find the relationship between the second and third terms.

6 - 2 = 4

3. Find the relationship between the third and fourth terms.

4 + 1 = 5

4. Find the relationship between the fourth and fifth terms.

5 - 2 = 3

5. Therefore, the established pattern is "plus one, minus two." Using this pattern, find the 11th term.

3 + 1 = 4 (6th term)

4 - 2 = 2 (7th term)

2 + 1 = 3 (8th term)

3 - 2 = 1 (9th term)

1 + 1 = 2 (10th term)

2 - 2 = 0 (11th term)

57.

Which of the following numbers is the lowest?

3.2, 33/15, 2 1/4, 3.201, 4.1

  • 33/15

  • 3.2

  • 3.201

  • 2 1/4

  • 4.1

Correct answer: 33/15

1. Convert the improper fraction to a mixed number.

33/15 = 2 3/15 = 2 1/5

2. The question asks for the lowest number, and since we know that 2 1/5 and 2 1/4 are less than 3.2, 3.201 and 4.1, compare these two by making the denominators the same.

2 1/5 = (11 × 4)/(5 × 4) = 44/20

2 1/4 = (9 × 5)/(4 × 5) = 45/20

Therefore, since 44 is less than 45, 2 1/5 (33/15) is the smallest number.

58.

The figure shown is composed of a cylinder with a height of 50 inches and a cone with a height of 30 inches. The cylinder and the cone share a base that has a radius of 40 inches. What is the volume of the figure the cylinder and cone compose?

  • 96000π in³

  • 80000π in³

  • 16000π in³

  • 24000π in³

  • 22000π in³

Correct answer: 96000π in³

1. Find the volume of the cylinder.

Volume of a cylinder = πr²h

V = π(40in²)(50in) = 80000π in³

2. Find the volume of the cone.

Volume of a cone = (1/3)(πr²h)

V = (1/3)(π)(40in²)(30in) = 16000π in³

3. Add the volumes together.

80000π + 16000π = 96000π in³

59.

Wayne shipped 476 phones over a 14-day period. On average, how many phones did Wayne ship per day?

  • 34

  • 19

  • 26

  • 68

  • 119

Correct answer: 34

In order to find out the average number of phones that were shipped each day, you will need to divide:

476 / 14 = 34

60.

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