Grammar Hero's ASVAB Practice Test
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8 minutes
20 minutes
22 minutes
39 minutes
1. Inhabit most nearly means:
A) Live in
B) Forbid
C) Cautious
D) Run away
2. Rudiments most nearly means:
A) Politics
B) Demoralize
C) Basic method and procedures
D) Reverent
3. Vague most nearly means:
А) Conceited
B) Varied
C) Coalition
D) Indistinct
4. Cease most nearly means:
A) Start
B) Change
C) Stop
D) Beseech
5. Savory most nearly means:
А) Tasty
B) Disappointment
C) Clean
D) Exact
6. Obliterate most nearly means:
А) Blame
B) Wipe out
C) Tangible
D) Calculable
7. Unison most nearly means:
А) Betrayal
B) Scatter
C) Haphazard
D) Agreement
8. Novice most nearly means:
А) Gadget
B) Nursemaid
C) Beginner
D) Comfort
9. Turmoil most nearly means:
А) Anger
B) Commotion
C) Regret
D) Block
10. Wary most nearly means:
А) Careful
B) Conceited
C) Foolhardy
D) Cowardly
11. Ravage most nearly means:
А) Devastate
B) Relinquish
C) Question
D) Charge
12. Impair most nearly means:
А) Stimulate
B) Weaken
C) Visit
D) Improve
13. Chide most nearly means:
А) Scold
B) Lithe
C) Mild
D) Impose
14. Variable most nearly means:
А) Steady
B) Shifting
C) Entrap
D) Latitude
15. Evasive most nearly means:
А) Dilapidate
B) Foolish
C) Revealing
D) Secretive
16. Maim most nearly means:
А) Insult
B) Injure
C) Mockery
D) Accuse

Math Knowledge

Please read all of these instructions carefully.

  • In this section of the test, you will be presented with 16 questions that will assess your understanding of basic mathematical concepts. You are not permitted to use a calculator on this section of the test, although you may use as much scratch paper as necessary.

  • For this section of the test, you will have 20 minutes to answer the questions. In light of that, you should not spend too much time on a question. If you are not certain of the answer, answer it the best you can, and go on to the next question.

  • Once you start this section of the test, you will not be able to pause it. In addition, you must complete every section of this practice test (i.e., Word Knowledge, Arithmetic Reasoning, Paragraph Comprehension, and Mathematics Knowledge) to see your predicted AFQT score.

Click the start button to begin.

1. Which of the following is the smallest prime number greater than 200?
A) 201
B) 205
C) 211
D) 214
2. If 40% is equal to the fraction
x
30
, then what is the value of x?
A) 16
B) 15
C) 10
D) 12
3. What does the expression "5 FACTORIAL" equal?
А) 125
B) 120
C) 25
D) 10
4. A woman has $500 in a bank account. Every week, she writes out a check for $50. If she doesn't make any new deposits, how much money will be in her bank account "x" number of weeks from now?
A) $500 + $50x
B) $500 - $50x
C) $500 - x
D) $500 + $50 + x
5. Subtract -3x2 - 5x + 1 from 8x2 - 2x - 9.
А) 5x2 = 3x - 10
B) -5x2 - 3x - 10
C) 5x2 - 7x - 10
D) 11x2 + 3x - 10
6. Evaluate the expression using the given values: y3 + yz + z + y, when y = −2 and z = 6.
А) 2
B) -4
C) -16
D) -8
7. Solve for x: 8x - 2 - 5x = 8.
А) x = 13
B) x = 2 1/2
C) x = 3 1/3
D) x = 7
8. What is 20 degrees Celsius (C) in terms of Fahrenheit (F)? Use F = 9/5C + 32.
А) 93 3/5
B) 78
C) 62 3/5
D) 68
9. The perimeter of a rectangle is 38 inches. If the length of the rectangle is 3 inches more than its width, then what is the width of the rectangle?
А) 17 and 1/2 inches
B) 8 inches
C) 11 inches
D) 14 and 1/2 inches
10. Write the equation of the line that passes through the point (-2, 6) and has a slope of 3.
А) y = 3x + 12
B) y = 3x
C) y = 3x - 12
D) y = 3x - 4
11. What is the product of (A - 5) and (A + 3)?
А) A2 - 5
B) A2 + 2A - 15
C) A2 - 2A - 15
D) A2 - 2
12. Find the product of the reciprocals of 1/2, 4, and -2 1/2.
А) 1/5
B) -1/5
C) -5/1
D) -4/1
13. Solve for Z: 3Z - 5 = -2Z - 25 + 5Z
А) Z = 0
B) Z = 3
C) Z = -3
D) No solution
14. Factor the following expression: –6x2 – x + 2
А) –1(2x – 1)(3x + 2)
B) 2(2x – 1)(3x + 2)
C) –1(2x + 1)(3x + 2)
D) –1(2x – 1)(3x – 2)
15. What is the area of the shaded section of the figure below? The circles are identical and have a radius of 5 inches. In addition, they are inscribed by a rectangle. Use 3.14 for π.
А) 43 inches2
B) 45 inches2
C) 56 inches2
D) 63 inches2
16. Solve the following system of equations:

x - 7y = -11
5x + 2y = -18

А) No solution
B) x = -4, y = 1
C) x = 1, y = -4
D) Infinitely many solutions

Paragraph Comprehension

Please read all of these instructions carefully.

  • In this section of the test, you will be presented with passage that will be followed by several questions. In total, there are 11 multiple-choice questions. Please read each passage carefully before attempting to answer the questions. For each question, you will be asked to select the most appropriate answer.

  • For this section of the test, you will have 22 minutes to answer the questions. In light of that, you should not spend too much time on a question. If you are not certain of the answer, answer it the best you can, and go on to the next question.

  • Some questions are based on materials presented on the left side of a split screen. Make sure to read each page on the left side before trying to answer the questions on the right side of the screen.

Click the start button to begin.

Personality Disorders

(1)How should the law treat a mentally disturbed person who commits a criminal offense? Should individuals whose mental faculties are impaired be held responsible for their actions? These questions are of concern to social scientists, to members of the legal profession, and to individuals who work with criminal offenders.

(2)Over the centuries, an important part of Western law has been the concept that a civilized society should not punish a person who is mentally incapable of controlling his or her conduct. In 1724, an English court maintained that a man was not responsible for an act if “he doth not know what he is doing, no more than . . . a wild beast.” Modern standards of legal responsibility, however, have been based on the McNaghten decision of 1843. McNaghten, a Scotsman, suffered the paranoid delusion that he was being persecuted by the English prime minister, Sir Robert Peel. In an attempt to kill Peel, he mistakenly shot Peel’s secretary. Everyone involved in the trial was convinced by McNaghten’s senseless ramblings that he was insane. He was judged not responsible by reason of insanity and sent to a mental hospital, where he remained until his death. But Queen Victoria was not pleased with the verdict— apparently she felt that political assassinations should not be taken lightly—and called on the House of Lords to review the decision. The decision was upheld and rules for the legal definition of insanity were put into writing. The McNaghten Rule states that a defendant may be found “not guilty by reason of insanity” only if he were so severely disturbed at the time of his act that he did not know what he was doing, or that if he did know what he was doing, he did not know it was wrong.

(3)The McNaghten Rule was adopted in the United States, and the distinction of knowing right from wrong remained the basis of most decisions of legal insanity for over a century. Some states added to their statutes the doctrine of “irresistible impulse,” which recognizes that some mentally ill individuals may respond correctly when asked if a particular act is morally right or wrong but still be unable to control their behavior.

(4) During the 1970s, a number of state and federal courts adopted a broader legal definition of insanity proposed by the American Law Institute, which states: “A person is not responsible for criminal conduct if at the time of such conduct, as a result of mental disease or defect, he lacks substantial capacity either to appre -ciate the wrongfulness of his conduct or to conform his conduct to the requirements of the law.” The word substantial suggests that “any” incapacity is not enough to avoid criminal responsibility but that “total” incapacity is not required either. The use of the word appreciate rather than know implies that intellectual awareness of right or wrong is not enough; individuals must have some understanding of the moral or legal consequences of their behavior before they can be held criminally responsible.

(5) The problem of legal responsibility in the case of mentally disordered individuals is currently a topic of intense debate, and a number of legal and mental health professionals have recommended abolishing the insanity plea as a defense. The reasons for this recommendation are varied. Many experts believe that the current courtroom procedures—in which psychiatrists and psychologists for the prosecution and the defense present contradictory evidence as to the defendant’s mental state—are confusing to the jury and do little to help the cause of justice. Some also argue that the abuse of the insanity plea by clever lawyers has allowed too many criminals to escape conviction. Others claim that acquittal by reason of insanity often leads to a worse punishment (an indeterminate sentence to an institution for the criminally insane that may confine a person for life) than being convicted and sent to prison (with the possibility of parole in a few years).

(6) Despite the current controversy, actual cases of acquittal by reason of insanity are quite rare. Jurors seem reluctant to believe that people are not morally responsible for their acts, and lawyers, knowing that an insanity plea is apt to fail, tend to use it only as a last resort. In California in 1980, only 259 defendants (out of approximately 52,000) were successful in pleading not guilty by reason of insanity.

“No Man is an Island,” a poem by John Donne (1624)

No man is an island entire of itself; every man
is a piece of the continent, a part of the main;
if a clod be washed away by the sea, Europe
is the less, as well as if a promontory were, as
well as any manner of thy friends or of thine
own were; any man's death diminishes me,
because I am involved in mankind.
And therefore never send to know for whom
the bell tolls; it tolls for thee.

Use the first passage to answer questions 1 through 10 and the second passage to answer question 11.

1. One of the author’s main points about the legal concept of responsibility in the passage is that:
A) the phrase “not guilty by reason of insanity” has made our legal system more efficient.
B) responsibility and guilt are legal concepts, and their meanings can be modified
C) knowing right from wrong is a simple matter of admitting the truth to oneself.
D) people can become severely disturbed without a word of warning to anyone.
2. Based on the passage, the primary purpose for the 1970s redefinition of insanity proposed by the American Law Institute was to:
A) eliminate the insanity defense from American courtrooms.
B) more precisely define the concepts of responsibility and intellectual capacity.
C) redefine legal insanity so that it might include as many criminals as possible.
D) apply the McNaghten Rule only to trials involving cases of mistaken identity.
3. From information in the third and fourth paragraphs, it can reasonably be inferred that the legal definition of insanity was changed in the 1970s after:
А) federal courts won a dispute with state courts over a proposal made by the American Law Institute.
B) the doctrine of “irresistible impulse” was found to contradict accepted notions of justice.
C) proponents of the McNaghten Rule had been using the insanity defense in far too many murder trials.
D) several courts found that justice was not always best served when the McNaghten Rule was applied.
4. According to the explanation provided in the fourth paragraph, use of the word appreciate in the phrase “to appreciate the wrongfulness” instead of know implies which of the following?
A) The difference between right and wrong is something people feel rather than know, which makes deciding legal responsibility difficult.
B) To know implies certainty, and distinguishing right from wrong is often a subjective matter in determining legal responsibility.
C) The word appreciate suggests that an action and that action’s implications must be understood for there to be legal responsibility.
D) An insane person would “know” something the way a sane person would “know” something, and be able to appreciate that knowledge, too.
5. The passage indicates that the McNaghten case became the basis for future decisions about legal insanity because:
А) the House of Lords upheld the verdict of the court despite considerable political pressure.
B) there had been an increase in cases of murder involving mistaken identity arising from delusions.
C) McNaghten was unable to convince the jury at his trial that he was incoherent and insane.
D) McNaghten used a gun to commit murder, thus aggravating the crime in the jury’s mind.
6. The passage states that McNaghten wanted to kill the English prime minister because the Scotsman thought that he:
А) would establish a confusing legal precedent.
B) had been rejected by Peel’s secretary.
C) would be better off in a mental hospital.
D) had been wronged by the minister.
7. According to the passage, one of the reasons some mental health and legal groups want to abolish the insanity defense is that:
А) even clever lawyers are confused about when to use and when not to use it.
B) juries that must sort out conflicting testimony become confused, and justice suffers.
C) when it is invoked, even if the case is won, the punishment often ends up being too lenient.
D) innocent defendants are too often being punished unfairly by unsympathetic juries.
8. The passage suggests that individuals who use the insanity defense:
А) are not permitted to do so unless it can be proved beforehand that they are really insane.
B) should be tried, convicted, and punished whether or not they are really insane.
C) are legally responsible for their actions even if a jury decides they are not guilty.
D) might risk a lifelong confinement even if acquitted by a jury, if the acquittal is based on insanity.
9. According to the passage, a lawyer contemplating using insanity as a defense for a client should do which of the following?
А) Carefully evaluate using the defense, since it rarely works in actual practice.
B) Assemble for trial a team of expert witnesses with a wide range of viewpoints on mental illness.
C) Make sure that the doctrine of “irresistible impulse” is not used by the prosecution in his or her client’s trial.
D) Recommend that the client be acquitted because he or she has been judged criminally insane by a doctor.
10. One of the main points made in the last paragraph is that insanity pleas were:
А) unconvincing to most juries in California in 1980.
B) used in most cases in California in 1980.
C) often successful in California in 1980.
D) popular with lawyers in California in 1980.
11. According to the poem, what is the one thing that all people will experience?
А) happiness
B) love
C) individuality
D) death

Arithmetic Reasoning

Please read all of these instructions carefully.

  • In this section of the test, you will be presented with 16 questions that will test your ability to solve questions the emphasize arithmetic reasoning. You are not permitted to use a calculator on this section of the test, although you may use as much scratch paper as necessary.

  • For this section of the test, you will have 39 minutes to answer the questions. In light of that, you should not spend too much time on a question. If you are not certain of the answer, answer it the best you can, and go on to the next question.

  • Once you start this section of the test, you will not be able to pause it. In addition, you must complete every section of this practice test (i.e., Word Knowledge, Arithmetic Reasoning, Paragraph Comprehension, and Mathematics Knowledge) to see your predicted AFQT score.

Click the start button to begin.

1. Two cars start at the same place and traveled along the same route. The first car traveled at an average speed of 40 miles per hour, while the second car traveled at an average speed of 55 miles per hour. After five hours, how many more miles did the second car travel than the first car?
A) (55 x 5) - (40 x 5)
B) 55 - 40
C) 55/5 - 40/5
D) 55 x 5
2. If a carpenter glued one piece of wood that is 6/16 inches thick to another piece of wood that is 7/8 inches thick, then what is the total thickness of the two pieces he glued together?
A) 1 and 1/4 inches
B) 1 and 3/16 inches
C) 1 and 1/8 inches
D) 1 and 5/8 inches
3. In a group, the ratio of doctors to lawyers is 5 to 4. If the total number of people in the group is 72, then how many lawyers are in the group?
А) 40
B) 32
C) 42
D) 30
4. If a carpenter cut three 4-feet-and-6-inch boards from a 14-foot board, then how long was the piece of wood that was left over?
A) 6 inches
B) 1 foot and 6 inches
C) 2 feet
D) 1 foot
5. If a bird flies at a rate of 2/3 of a mile per minute, then at how many miles per hour is it flying?
А) 20 mph
B) 30 mph
C) 40 mph
D) 60 mph
6. A man can walk 36 miles in 12 hours, while he can cover the same distance on a bicycle at twice the rate of speed. At this rate, how many miles would he cover on a bicycle in 9 hours?
А) 54 Miles
B) 52 1/2 Miles
C) 49 Miles
D) 48 Miles
7. Out of 20 attempts, a basketball player scored 8 times. What percent of his shots did he make?
А) 8%
B) 16%
C) 32%
D) 40%
8. A class of 25 students took a science test. Ten students had an average score of 80, while the rest of the students had an average score of 60. What was the average score of the whole class?
А) 68
B) 72
C) 70
D) 66
9. If 12 men are needed to run 4 machines, how many men are needed to run 20 machines?
А) 24
B) 48
C) 60
D) 80
10. In an auditorium during an assembly, 1/6 of the students are fifth graders, 1/3 are fourth graders, 1/4 are third graders, and the rest of the students are second graders. If there are 96 students in the auditorium, how many second graders are there?
А) 24
B) 32
C) 72
D) 18
11. A soccer field is in the shape of a rectangle, and it is 90 meters wide and 120 meters long. During warmups, a coach asks his players to jog from one corner to the corner diagonally across the field. How far do the players have to jog?
А) 140 meters
B) 150 meters
C) 160 meters
D) 170 meters
12. During the holidays, a computer that usually costs $1,250 is on sale for 15% off. What is its sale price?
А) $1,027.50
B) $1,035.50
C) $1,062.50
D) $1,018.50
13. In 2020, the price for a Mitsubishi Mirage was $10,000. Because of inflation, this is 80% of the price of a Mitsubishi Mirage in 2021. How much does a Mitsubishi Mirage cost in 2021?
А) $12,000
B) $12,500
C) $12,750
D) $13,000
14. Jenelle bought a home for $210,000. If she paid 12% as a down payment and financed the rest, then how much was her down payment?
А) $26,200
B) $24,200
C) $23,400
D) $25,200
15. In response to an incident in a local park, a crime scene investigator used caution tape to rope off a square section of the park. If she roped off an area of 289 square feet, how many feet of caution tape did she use?
А) 66 feet
B) 68 feet
C) 70 feet
D) 72 feet
16. At Home Depot, you bought two boxes. The first box has a square base: each side of its base measures 10 units, and it is 4 units high. The second box is rectangular, and it has twice the volume of the square box. If the height of the second box is 5 units and its width is 10 units, what is the length of the second box?
А) 12 units
B) 14 units
C) 16 units
D) 18 units