Praxis Core Practice Test PDF

Unofficial practice for the three Praxis Core tests, reading, writing and mathematics, on screen or on paper.

  1. 1.Passage: For years the Hadley bookmobile kept a fixed route, stopping where it always had. Last fall its librarians mapped where book requests came from and found that most came from two neighborhoods the route skipped. They redrew the route in January. By June, loans had doubled, though the truck drove fewer miles than before. The passage is primarily about
  2. 2.Passage: For years the Hadley bookmobile kept a fixed route, stopping where it always had. Last fall its librarians mapped where book requests came from and found that most came from two neighborhoods the route skipped. They redrew the route in January. By June, loans had doubled, though the truck drove fewer miles than before. It can be inferred that, before January, the bookmobile
  3. 3.Passage: New teachers at Orchard Middle School once met their mentors only when a problem arose. The school now pairs each newcomer with a mentor for a weekly visit to the mentor's classroom. Principal Ruiz admits the visits take time from planning. Still, she notes, first-year teachers who made the visits asked for help earlier and were less likely to leave. According to the passage, what is one cost of the weekly visits?
  4. 4.Passage: New teachers at Orchard Middle School once met their mentors only when a problem arose. The school now pairs each newcomer with a mentor for a weekly visit to the mentor's classroom. Principal Ruiz admits the visits take time from planning. Still, she notes, first-year teachers who made the visits asked for help earlier and were less likely to leave. In the passage, the word "Still" signals that the sentence it begins will
  5. 5.Passage: The district's new reading app arrives with the usual promises: every child engaged, every score rising. I have unpacked such boxes before. The software is handsome, and the children will tap at it happily for a month. Whether they will read more by spring is a question the brochure does not ask. The author's attitude toward the reading app is best described as
  6. 6.Passage: The district's new reading app arrives with the usual promises: every child engaged, every score rising. I have unpacked such boxes before. The software is handsome, and the children will tap at it happily for a month. Whether they will read more by spring is a question the brochure does not ask. As used in the passage, "handsome" most nearly means
  7. 7.Passage: Two rooms in the same school show what light can do. In Room 12, the blinds stay shut and the lamps hum all day; students there say they feel sleepy by noon. In Room 14, the teacher raises the blinds each morning, and the same students report feeling more alert. The furniture, the schedule and the rules are alike in both rooms. The passage is organized mainly by
  8. 8.Passage: Two rooms in the same school show what light can do. In Room 12, the blinds stay shut and the lamps hum all day; students there say they feel sleepy by noon. In Room 14, the teacher raises the blinds each morning, and the same students report feeling more alert. The furniture, the schedule and the rules are alike in both rooms. The last sentence of the passage mainly serves to
  9. 9.Passage: The town pool opened in 1962 and has been repaired four times. Its pump failed twice last summer. The council has a bid of $80,000 for a new pump. In my view, spending that sum on a pool this old is a mistake; the money would do more good in a new splash park. Which statement from the passage is presented as an opinion?
  10. 10.Passage: The town pool opened in 1962 and has been repaired four times. Its pump failed twice last summer. The council has a bid of $80,000 for a new pump. In my view, spending that sum on a pool this old is a mistake; the money would do more good in a new splash park. The author's argument depends on the assumption that
  11. 11.Passage: A principal argues that the school's new "no phones at lunch" rule caused this year's drop in lunchroom arguments. She points out that reported arguments fell from thirty in the fall to twelve in the spring, after the rule began in January. Which fact, if true, would most weaken the principal's argument?
  12. 12.Passage: A principal argues that the school's new "no phones at lunch" rule caused this year's drop in lunchroom arguments. She points out that reported arguments fell from thirty in the fall to twelve in the spring, after the rule began in January. Which fact, if true, would most strengthen the principal's argument?
  13. 13.Passage 1: Homework in the early grades builds habits. A child who spends ten minutes a night on spelling learns that school asks for steady effort. Passage 2: Young children gain little from homework. Ten minutes of spelling teaches less than ten minutes of being read to, and evenings should belong to families. The authors of the two passages would most likely disagree about whether
  14. 14.Passage 1: Homework in the early grades builds habits. A child who spends ten minutes a night on spelling learns that school asks for steady effort. Passage 2: Young children gain little from homework. Ten minutes of spelling teaches less than ten minutes of being read to, and evenings should belong to families. According to Passage 2, what teaches a young child more than ten minutes of spelling homework?
  15. 15.Passage: A coach noticed that players who were told only their final score improved slowly. When she began telling each player one specific thing to change after every game, improvement came faster. The score, she concluded, tells players that they must change; the comment tells them how. Which situation is most similar to the one described in the passage?
  16. 16.Passage: A coach noticed that players who were told only their final score improved slowly. When she began telling each player one specific thing to change after every game, improvement came faster. The score, she concluded, tells players that they must change; the comment tells them how. According to the coach, how do a score and a comment differ?
  17. 17.Passage: When the cafeteria began offering fruit at the front of the line, students took twice as much of it as when it sat at the end. Nothing about the fruit or its price had changed. The manager now puts the day's vegetable first as well and has moved the chips to the far end. Which sentence best summarizes the passage?
  18. 18.Passage: When the cafeteria began offering fruit at the front of the line, students took twice as much of it as when it sat at the end. Nothing about the fruit or its price had changed. The manager now puts the day's vegetable first as well and has moved the chips to the far end. The manager's latest changes suggest that she expects
  19. 19.A student's paragraph reads: (1) Our school should start a recycling club. (2) Each week the cafeteria throws away hundreds of plastic bottles. (3) My cousin's school has a swimming pool. (4) A club could collect the bottles and take them to the recycling center. Which revision most improves the paragraph?
  20. 20.A formal letter to the school board includes this sentence: "The current bus schedule is totally messed up for kids in after-school programs." Which revision best fits the tone of the letter?
  21. 21.Which transition best fills the blank? "(1) The district added a second bus to Route 4. (2) ____, students on that route now arrive ten minutes before the first bell."
  22. 22.Which sentence contains an error in subject-verb agreement?
  23. 23.A teacher is proofreading a thank-you note. Which sentence uses its pronouns correctly?
  24. 24.Which sentence contains an inappropriate shift in verb tense?
  25. 25.Read the sentence: "Walking to school, the rain soaked Dana's backpack." Which revision corrects the error?
  26. 26.Read the sentence: "The workshop taught us to plan lessons, managing time and how to give feedback." Which revision is best?
  27. 27.Which of these is a complete, correctly punctuated sentence?
  28. 28.Which sentence uses "affect" or "effect" correctly?
  29. 29.A source list has this entry: Okoro, Chidi. Teaching the Middle Grades. Lantern Books, 2021. Which element names the publisher?
  30. 30.A student is writing a report on how the school-year calendar has changed over time. Which source is the most credible?
  31. 31.A hiker walks 2/3 mile to a lake and then 3/4 mile on to a cabin. How far is the walk in all?
  32. 32.The ratio of fiction to nonfiction books on a shelf is 3 to 2. The shelf holds 60 books. How many are fiction?
  33. 33.A class grew from 20 students to 25 students. What is the percent increase?
  34. 34.A copier makes 54 copies in 3 minutes. At that rate, how many copies does it make in 7 minutes?
  35. 35.Four decimals are written on cards: 0.5, 0.085, 0.45 and 0.4. Which list puts them in order from least to greatest?
  36. 36.Which number is a multiple of both 6 and 8?
  37. 37.A student's five quiz scores are 6, 8, 9, 7 and 10. What is the mean score?
  38. 38.The ages of seven tutors are 19, 22, 22, 24, 27, 30 and 45. What is the median age?
  39. 39.A data set is 2, 3, 3, 4 and 18. If the value 18 is removed, which measure changes?
  40. 40.A bag holds 5 red, 3 green and 2 blue tiles. One tile is drawn at random. What is the probability that it is not red?
  41. 41.A survey of 40 students found that 12 walk to school, 18 ride a bus, 6 ride a bike and 4 come by car. What percent of the students ride a bus?
  42. 42.A circle graph shows that 25% of a club's $640 budget goes to supplies. How much money goes to supplies?
  43. 43.If 4x − 9 = 23, what is the value of x?
  44. 44.What is the value of 2a² − 3b when a = 3 and b = 4?
  45. 45.A gym charges a $25 sign-up fee and $15 a month. Which expression gives the total cost, in dollars, for m months?
  46. 46.A rectangle has a perimeter of 30 units and a length of 9 units. What is its area?
  47. 47.A circle has a radius of 5 units. Using 3.14 for π, which is closest to its circumference?
  48. 48.Two angles of a triangle measure 35° and 65°. What is the measure of the third angle?
Passage: For years the Hadley bookmobile kept a fixed route, stopping where it always had. Last fall its librarians mapped where book requests came from and found that most came from two neighborhoods the route skipped. They redrew the route in January. By June, loans had doubled, though the truck drove fewer miles than before. The passage is primarily about

Print covers the next 48 questions. Share this set copies a link to the same questions in the same order.

Exam mode: 48 questions, 68 minutes.

More options

Unofficial practice questions, not affiliated with ETS (Educational Testing Service). Bank checked October 13, 2026.

Next step More reading: CBEST reading practiceMore math: CBEST math practice

How it works

This free Praxis Core practice test has 48 questions of our own in reading, writing and mathematics, to take here or print as a PDF. It is unofficial and not affiliated with, endorsed by or sponsored by ETS.

Read the full guide

The three Core tests

Core Academic Skills for Educators is three tests, by the Study Companions read October 13, 2026: Reading (5713), 85 minutes; Writing (5723), 40 minutes of questions and two 30-minute essays; Mathematics (5733), 90 minutes.

Find your weaker subject

The result is broken down by subject, so one sitting shows which of the three tests needs the most work.

Timing

Exam mode asks all 48 questions in 68 minutes, the pace of the three real tests taken together. The two essays are not here.

  • Every reading question here is answered from its passage alone. ETS says the same of the real test: no question requires outside knowledge.
  • The real mathematics test gives five choices on its single-answer questions and an on-screen four-function calculator. Here every question has four choices.

Questions and answers

Is there a Praxis Core practice test PDF?

Yes. This page opens on a sheet of all 48 questions. Print it, with the answer key if you tick that box, and choose Save as PDF in the print window to keep the file.

Is this Praxis Core practice test the real exam?

No. All 48 questions and their passages were written for this site from the content topics ETS publishes for tests 5713, 5723 and 5733. None repeats or rewords a real or sample question, and a result here does not forecast a score.

How many questions are on the Praxis Core?

56 in reading, 56 in mathematics and 40 selected-response questions in writing, plus two essays. ETS says each test may contain some questions that do not count toward your score.

Can I take all three Praxis Core tests at once?

Yes. ETS offers a combined test, code 5752, that lets you schedule and take all three Core subtests in the same session. Reading (5713), Writing (5723) and Mathematics (5733) can also be taken one at a time.

What is a passing score on the Praxis Core?

ETS sets none. Passing scores vary by state, and each of the three tests has its own, so check the requirement of the state or program you are applying to. This page gives the number right only.

All 48 questions

Reading 18

  • Passage 1: Homework in the early grades builds habits. A child who spends ten minutes a night on spelling learns that school asks for steady effort. Passage 2: Young children gain little from homework. Ten minutes of spelling teaches less than ten minutes of being read to, and evenings should belong to families. According to Passage 2, what teaches a young child more than ten minutes of spelling homework? The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), I. Key Ideas and Details, B. Supporting ideas.
  • Passage 1: Homework in the early grades builds habits. A child who spends ten minutes a night on spelling learns that school asks for steady effort. Passage 2: Young children gain little from homework. Ten minutes of spelling teaches less than ten minutes of being read to, and evenings should belong to families. The authors of the two passages would most likely disagree about whether The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), III. Integration of Knowledge and Ideas, C. Analysis and comparison of texts (agreement and disagreement).
  • Passage: A coach noticed that players who were told only their final score improved slowly. When she began telling each player one specific thing to change after every game, improvement came faster. The score, she concluded, tells players that they must change; the comment tells them how. According to the coach, how do a score and a comment differ? The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), III. Integration of Knowledge and Ideas, B. Evaluation of arguments (relationships among ideas).
Show all 48 questions (45 more)

Reading, continued

  • Passage: A coach noticed that players who were told only their final score improved slowly. When she began telling each player one specific thing to change after every game, improvement came faster. The score, she concluded, tells players that they must change; the comment tells them how. Which situation is most similar to the one described in the passage? The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), III. Integration of Knowledge and Ideas, C. Analysis and comparison of texts (similar situations).
  • Passage: A principal argues that the school's new "no phones at lunch" rule caused this year's drop in lunchroom arguments. She points out that reported arguments fell from thirty in the fall to twelve in the spring, after the rule began in January. Which fact, if true, would most strengthen the principal's argument? The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), III. Integration of Knowledge and Ideas, B. Evaluation of arguments (evidence that strengthens).
  • Passage: A principal argues that the school's new "no phones at lunch" rule caused this year's drop in lunchroom arguments. She points out that reported arguments fell from thirty in the fall to twelve in the spring, after the rule began in January. Which fact, if true, would most weaken the principal's argument? The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), III. Integration of Knowledge and Ideas, B. Evaluation of arguments (evidence that weakens).
  • Passage: For years the Hadley bookmobile kept a fixed route, stopping where it always had. Last fall its librarians mapped where book requests came from and found that most came from two neighborhoods the route skipped. They redrew the route in January. By June, loans had doubled, though the truck drove fewer miles than before. It can be inferred that, before January, the bookmobile The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), I. Key Ideas and Details, C. Inferences.
  • Passage: For years the Hadley bookmobile kept a fixed route, stopping where it always had. Last fall its librarians mapped where book requests came from and found that most came from two neighborhoods the route skipped. They redrew the route in January. By June, loans had doubled, though the truck drove fewer miles than before. The passage is primarily about The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), I. Key Ideas and Details, A. Main idea and primary purpose.
  • Passage: New teachers at Orchard Middle School once met their mentors only when a problem arose. The school now pairs each newcomer with a mentor for a weekly visit to the mentor's classroom. Principal Ruiz admits the visits take time from planning. Still, she notes, first-year teachers who made the visits asked for help earlier and were less likely to leave. According to the passage, what is one cost of the weekly visits? The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), I. Key Ideas and Details, B. Supporting ideas.
  • Passage: New teachers at Orchard Middle School once met their mentors only when a problem arose. The school now pairs each newcomer with a mentor for a weekly visit to the mentor's classroom. Principal Ruiz admits the visits take time from planning. Still, she notes, first-year teachers who made the visits asked for help earlier and were less likely to leave. In the passage, the word "Still" signals that the sentence it begins will The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), II. Craft, Structure, and Language Skills, B. Organization and structure (transition words).
  • Passage: The district's new reading app arrives with the usual promises: every child engaged, every score rising. I have unpacked such boxes before. The software is handsome, and the children will tap at it happily for a month. Whether they will read more by spring is a question the brochure does not ask. As used in the passage, "handsome" most nearly means The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), II. Craft, Structure, and Language Skills, C. Meanings of words.
  • Passage: The district's new reading app arrives with the usual promises: every child engaged, every score rising. I have unpacked such boxes before. The software is handsome, and the children will tap at it happily for a month. Whether they will read more by spring is a question the brochure does not ask. The author's attitude toward the reading app is best described as The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), II. Craft, Structure, and Language Skills, A. Attitude and tone.
  • Passage: The town pool opened in 1962 and has been repaired four times. Its pump failed twice last summer. The council has a bid of $80,000 for a new pump. In my view, spending that sum on a pool this old is a mistake; the money would do more good in a new splash park. The author's argument depends on the assumption that The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), III. Integration of Knowledge and Ideas, B. Evaluation of arguments (assumptions).
  • Passage: The town pool opened in 1962 and has been repaired four times. Its pump failed twice last summer. The council has a bid of $80,000 for a new pump. In my view, spending that sum on a pool this old is a mistake; the money would do more good in a new splash park. Which statement from the passage is presented as an opinion? The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), II. Craft, Structure, and Language Skills, D. Fact or opinion.
  • Passage: Two rooms in the same school show what light can do. In Room 12, the blinds stay shut and the lamps hum all day; students there say they feel sleepy by noon. In Room 14, the teacher raises the blinds each morning, and the same students report feeling more alert. The furniture, the schedule and the rules are alike in both rooms. The last sentence of the passage mainly serves to The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), II. Craft, Structure, and Language Skills, B. Organization and structure (the role of a piece of information).
  • Passage: Two rooms in the same school show what light can do. In Room 12, the blinds stay shut and the lamps hum all day; students there say they feel sleepy by noon. In Room 14, the teacher raises the blinds each morning, and the same students report feeling more alert. The furniture, the schedule and the rules are alike in both rooms. The passage is organized mainly by The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), II. Craft, Structure, and Language Skills, B. Organization and structure (how a selection is organized).
  • Passage: When the cafeteria began offering fruit at the front of the line, students took twice as much of it as when it sat at the end. Nothing about the fruit or its price had changed. The manager now puts the day's vegetable first as well and has moved the chips to the far end. The manager's latest changes suggest that she expects The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), I. Key Ideas and Details, C. Inferences.
  • Passage: When the cafeteria began offering fruit at the front of the line, students took twice as much of it as when it sat at the end. Nothing about the fruit or its price had changed. The manager now puts the day's vegetable first as well and has moved the chips to the far end. Which sentence best summarizes the passage? The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Reading (5713), I. Key Ideas and Details, A. Main idea and primary purpose.

Writing 12

  • A formal letter to the school board includes this sentence: "The current bus schedule is totally messed up for kids in after-school programs." Which revision best fits the tone of the letter? Purdue Online Writing Lab, Levels of Formality. Outline: ETS Study Companion for Praxis Core, Writing (5723), I. Text Types, Purposes, and Production, C. Text Production: Revision.
  • A source list has this entry: Okoro, Chidi. Teaching the Middle Grades. Lantern Books, 2021. Which element names the publisher? Purdue Online Writing Lab, MLA Works Cited Page: Books. Outline: ETS Study Companion for Praxis Core, Writing (5723), II. Language and Research Skills for Writing, B. Research Skills (elements of a citation).
  • A student is writing a report on how the school-year calendar has changed over time. Which source is the most credible? Purdue Online Writing Lab, Evaluating Sources of Information. Outline: ETS Study Companion for Praxis Core, Writing (5723), II. Language and Research Skills for Writing, B. Research Skills (credibility and relevance of sources).
  • A student's paragraph reads: (1) Our school should start a recycling club. (2) Each week the cafeteria throws away hundreds of plastic bottles. (3) My cousin's school has a swimming pool. (4) A club could collect the bottles and take them to the recycling center. Which revision most improves the paragraph? The answer is read from the passage printed with the question. Outline: ETS Study Companion for Praxis Core, Writing (5723), I. Text Types, Purposes, and Production, C. Text Production: Revision.
  • A teacher is proofreading a thank-you note. Which sentence uses its pronouns correctly? Purdue Online Writing Lab, Pronoun Case. Outline: ETS Study Companion for Praxis Core, Writing (5723), II. Language and Research Skills for Writing, A. Language Skills, grammatical relationships (pronoun case).
  • Read the sentence: "The workshop taught us to plan lessons, managing time and how to give feedback." Which revision is best? Purdue Online Writing Lab, Parallel Structure. Outline: ETS Study Companion for Praxis Core, Writing (5723), II. Language and Research Skills for Writing, A. Language Skills, structural relationships (parallel structure).
  • Read the sentence: "Walking to school, the rain soaked Dana's backpack." Which revision corrects the error? Purdue Online Writing Lab, Dangling Modifiers and How To Correct Them. Outline: ETS Study Companion for Praxis Core, Writing (5723), II. Language and Research Skills for Writing, A. Language Skills, structural relationships (misplaced and dangling modifiers).
  • Which of these is a complete, correctly punctuated sentence? Purdue Online Writing Lab, Sentence Fragments; Run-ons, Comma Splices, Fused Sentences. Outline: ETS Study Companion for Praxis Core, Writing (5723), II. Language and Research Skills for Writing, A. Language Skills, structural relationships (fragments and run-ons).
  • Which sentence contains an error in subject-verb agreement? Purdue Online Writing Lab, Making Subjects and Verbs Agree. Outline: ETS Study Companion for Praxis Core, Writing (5723), II. Language and Research Skills for Writing, A. Language Skills, grammatical relationships (subject-verb agreement).
  • Which sentence contains an inappropriate shift in verb tense? Purdue Online Writing Lab, Verb Tense Consistency. Outline: ETS Study Companion for Praxis Core, Writing (5723), II. Language and Research Skills for Writing, A. Language Skills, grammatical relationships (shifts in verb tense).
  • Which sentence uses "affect" or "effect" correctly? Purdue Online Writing Lab, Spelling: Common Words that Sound Alike. Outline: ETS Study Companion for Praxis Core, Writing (5723), II. Language and Research Skills for Writing, A. Language Skills, word choice (frequently confused words).
  • Which transition best fills the blank? "(1) The district added a second bus to Route 4. (2) ____, students on that route now arrive ten minutes before the first bell." Purdue Online Writing Lab, Transitional Devices. Outline: ETS Study Companion for Praxis Core, Writing (5723), I. Text Types, Purposes, and Production, C. Text Production: Revision.

Mathematics 18

  • A bag holds 5 red, 3 green and 2 blue tiles. One tile is drawn at random. What is the probability that it is not red? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), II. Data Interpretation and Representation, Statistics, and Probability, G. simple probabilities.
  • A circle graph shows that 25% of a club's $640 budget goes to supplies. How much money goes to supplies? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), II. Data Interpretation and Representation, Statistics, and Probability, A. data and data representations.
  • A circle has a radius of 5 units. Using 3.14 for π, which is closest to its circumference? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), III. Algebra and Geometry, B. Geometry.
  • A class grew from 20 students to 25 students. What is the percent increase? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), I. Number and Quantity, C. percent.
  • A copier makes 54 copies in 3 minutes. At that rate, how many copies does it make in 7 minutes? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), I. Number and Quantity, D. constant rates.
  • A data set is 2, 3, 3, 4 and 18. If the value 18 is removed, which measure changes? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), II. Data Interpretation and Representation, Statistics, and Probability, B. measures of central tendency and spread.
  • A gym charges a $25 sign-up fee and $15 a month. Which expression gives the total cost, in dollars, for m months? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), III. Algebra and Geometry, A. Algebra.
  • A hiker walks 2/3 mile to a lake and then 3/4 mile on to a cabin. How far is the walk in all? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), I. Number and Quantity, A. integers, decimals, and fractions.
  • A rectangle has a perimeter of 30 units and a length of 9 units. What is its area? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), III. Algebra and Geometry, B. Geometry.
  • A student's five quiz scores are 6, 8, 9, 7 and 10. What is the mean score? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), II. Data Interpretation and Representation, Statistics, and Probability, B. measures of central tendency and spread.
  • A survey of 40 students found that 12 walk to school, 18 ride a bus, 6 ride a bike and 4 come by car. What percent of the students ride a bus? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), II. Data Interpretation and Representation, Statistics, and Probability, A. data and data representations.
  • The ages of seven tutors are 19, 22, 22, 24, 27, 30 and 45. What is the median age? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), II. Data Interpretation and Representation, Statistics, and Probability, B. measures of central tendency and spread.
  • Four decimals are written on cards: 0.5, 0.085, 0.45 and 0.4. Which list puts them in order from least to greatest? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), I. Number and Quantity, E. place value and ordering of numbers.
  • If 4x − 9 = 23, what is the value of x? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), III. Algebra and Geometry, A. Algebra.
  • The ratio of fiction to nonfiction books on a shelf is 3 to 2. The shelf holds 60 books. How many are fiction? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), I. Number and Quantity, B. ratios and proportions.
  • Two angles of a triangle measure 35° and 65°. What is the measure of the third angle? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), III. Algebra and Geometry, B. Geometry.
  • What is the value of 2a² − 3b when a = 3 and b = 4? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), III. Algebra and Geometry, A. Algebra.
  • Which number is a multiple of both 6 and 8? The answer is worked out again from the numbers in the question. Outline: ETS Study Companion for Praxis Core, Mathematics (5733), I. Number and Quantity, F. properties of whole numbers.

How this list was compiled: Our own questions and our own short passages, written to the content topics of the three ETS Study Companions for the Praxis Core Academic Skills for Educators tests, read 2026-10-13: Reading (5713), https://www.ets.org/pdfs/praxis/5713.pdf, 56 questions in 85 minutes; Writing (5723), https://www.ets.org/pdfs/praxis/5723.pdf, 40 selected-response questions in 40 minutes and two 30-minute essays, which this bank does not hold; Mathematics (5733), https://www.ets.org/pdfs/praxis/5733.pdf, 56 questions in 90 minutes. The combined test is code 5752 (https://praxis.ets.org/test/5752.html). The bank holds 18 reading, 12 writing and 18 mathematics questions. Reading answers are read from the passage printed with the question. Each writing rule was read on 2026-10-13 on the page of the Purdue Online Writing Lab that the question names. Every mathematics answer is worked out again from the numbers in the question. Licence: Questions, choices and explanations are original work of this site.

More tests

Show 8 more

Browse Civics and Law