Grammar Hero's ASVAB Practice Test
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Question 1 of 16
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1. Apathetic most nearly means:
A) Responsive
B) Indifferent
C) Sympathetic
D) Apoplectic
2. Proxy most nearly means:
A) Deplorable
B) Blatant
C) Surrogate
D) Permanent
3. Conflagration most nearly means:
А) Flood
B) Deluge
C) Snowstorm
D) Blaze
4. Raze most nearly means:
A) Demolish
B) Mix
C) Concentrate
D) Repeal
5. Nefarious most nearly means:
А) Virtuous
B) Delightful
C) Wicked
D) Moderate
6. Chicanery most nearly means:
А) Deception
B) Redolent
C) Prodigious
D) Frankness
7. Pariah most nearly means:
А) Luminary
B) Outcast
C) Standout
D) Mogul
8. Illicit most nearly means:
А) Legal
B) Legitimate
C) Secretive
D) Unlawful
9. Gregarious most nearly means:
А) Introverted
B) Taciturn
C) Sociable
D) Inept
10. The word most opposite in meaning to benign is:
А) Harmless
B) Cumbersome
C) Safe
D) Harmful
11. The word most opposite in meaning to obtuse is:
А) Dim-witted
B) Opaque
C) Bright
D) Crass
12. The word most opposite in meaning to prestigious is:
А) Esteemed
B) Powerful
C) Commonplace
D) Disreputable
13.Omnipresent most nearly means:
А) Universal
B) Absent
C) Invincible
D) Powerful
14. Indefatigable most nearly means:
А) Idle
B) Feeble
C) Sluggish
D) Tireless
15. Destitute is:
А) Penniless
B) Affluent
C) Variegated
D) Opulent
16. Jettison most nearly means:
А) Load
B) Package
C) Eject
D) Flotsam

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.

  • While this practice test is not timed, 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. Simplify the expression: (14 x 22 + 33) - 25 ÷ 4.
A) -1
B) 11
C) 0
D) 23
2. Find the value of 3y2 - 2x + 4z, if x = 3, y = -4, and z = 2.
A) 25
B) 50
C) 15
D) 5
3. What is 11% of $3,000?
А) $250
B) $300
C) $330
D) $350
4. If 4⁄3 ÷ 1⁄6 = c, then the value of c is between which of the following pairs of numbers?
A) 3 and 4
B) 5 and 6
C) 6 and 7
D) 7 and 9
5. Order the following values from least to greatest: 0.075, 0.75%, 3⁄4, and 1.2.
А) 0.75%, 0.075, 3⁄4, 1.2
B) 0.75%, 3⁄4, 0.075, 1.2
C) 0.075, 0.75%, 3⁄4, and 1.2
D) 1.2, 3⁄4, 0.75%, 0.075
6. Solve the following system of equations:

2x - 3y = -4
y = -2x + 4

А) (2, 1)
B) (1, 2)
C) (-1, 2)
D) (-2, 1)
7. Find the equation of the line passing through the points (3, −1) and (4, 7).
А) y = -6x − 5
B) y = 4x − 3
C) y = -2x − 2
D) y = 8x − 25
8. Completely factor: x2 - 5x - 6.
А) (x - 1)(x - 6)
B) (x - 1)(x + 6)
C) (x + 1)(x - 6)
D) (x + 3)(x - 2)
9. The diameter of a circle is 8 centimeters. What is the area of the circle?
А) 50.24 cm2
B) 25.12 cm2
C) 12.56 cm2
D) 37.68 cm2
10. The perimeter of a rectangular pool is 56 meters. If the length of the pool is 16 meters, find its width.
А) 8 m
B) 9 m
C) 10 m
D) 12 m
11. Find the mean, median, mode, and the range of the following: 116, 130, 120, 125, 140, 125.
А) 125, 126.5, 125, and 24
B) 126, 125, 125, and 24
C) 125.5, 126, 125, and 24
D) 125, 126, 125, and 23
12. If angles of measures (x - 2)° and (2x + 5)° are a pair of supplementary angles, find the measures of those angles.
А) 57° and 123°
B) 27° and 63°
C) 50° and 130°
D) 30° and 60°
13. What term comes next in the sequence: -9, 101, -999, 10001, -99999, __ ?
А) -9999999
B) -1000001
C) 1000001
D) 100000001
14. Simplify the expression:
26a2b-5c9 -4a-6bc9
А)
-13a8 2b6

B)
13a8 2b6

C)
13a8 2b6c

D)
13a8c 2b6

15. Simplify the expression: (2√3 + 5√2)(3√3 - 4√2)
А) 11 + 7√6
B) 22 + 7√6
C) -11 + 7√6
D) -22 + 7√6
16. Simplify the expression:
x - 34
x8
А)
8(x - 3)x

B)
2(x - 3)x

C)
x - 32x

D)
x + 3x

Paragraph Comprehension

Please read all of these instructions carefully.

Click the start button to begin.

Millions of people in the United States are affected by eating disorders. More than 90% of those afflicted are adolescents or young adult women. Although all eating disorders share some common manifestations, anorexia nervosa, bulimia nervosa, and binge eating each have distinctive symptoms and risks.

People who intentionally starve themselves (even while experiencing severe hunger pains) suffer from anorexia nervosa. The disorder, which usually begins around the time of puberty, involves extreme weight loss to at least 15% below the individual’s normal body weight. Many people with the disorder look emaciated but are convinced they are overweight. In patients with anorexia nervosa, starvation can damage vital organs such as the heart and brain. To protect itself, the body shifts into slow gear: Menstrual periods stop, blood pressure rates drop, and thyroid function slows. Excessive thirst and frequent urination may occur. Dehydration contributes to constipation, and reduced body fat leads to lowered body temperature and the inability to withstand cold. Mild anemia, swollen joints, reduced muscle mass, and light-headedness also commonly occur in anorexia nervosa.

Anorexia nervosa sufferers can exhibit sudden angry outbursts or become socially withdrawn. One in ten cases of anorexia nervosa leads to death from starvation, cardiac arrest, other medical complications, or suicide. Clinical depression and anxiety place many individuals with eating disorders at risk for suicidal behavior.

People with bulimia nervosa consume large amounts of food and then rid their bodies of the excess calories by vomiting, abusing laxatives or diuretics, taking enemas, or exercising obsessively. Some use a combination of all these forms of purging. Individuals with bulimia who use drugs to stimulate vomiting, bowel movements, or urination may be in considerable danger, as this practice increases the risk of heart failure. Dieting heavily between episodes of binging and purging is common.

Because many individuals with bulimia binge and purge in secret and maintain normal or above normal body weight, they can often successfully hide their problem for years. But bulimia nervosa patients—even those of normal weight—can severely damage their bodies by frequent binge eating and purging. In rare instances, binge eating causes the stomach to rupture; purging may result in heart failure due to loss of vital minerals such as potassium. Vomiting can cause the esophagus to become inflamed and glands near the cheeks to become swollen. As in anorexia nervosa, bulimia may lead to irregular menstrual periods. Psychological effects include compulsive stealing as well as possible indications of obsessive-compulsive disorder, an illness characterized by repetitive thoughts and behaviors. Obsessive compulsive disorder can also accompany anorexia nervosa. As with anorexia nervosa, bulimia typically begins during adolescence. Eventually, half of those with anorexia nervosa will develop bulimia. The condition occurs most often in women but is also found in men.

Binge-eating disorder is found in about 2% of the general population. As many as one-third of this group are men. It also affects older women, though with less frequency. Recent research shows that binge-eating disorder occurs in about 30% of people participating in medically supervised weight-control programs. This disorder differs from bulimia because its sufferers do not purge. Individuals with binge-eating disorder feel that they lose control of themselves when eating. They eat large quantities of food and do not stop until they are uncomfortably full. Most sufferers are overweight or obese and have a history of weight fluctuations. As a result, they are prone to the serious medical problems associated with obesity, such as high cholesterol, high blood pressure, and diabetes. Obese individuals also have a higher risk for gallbladder disease, heart disease, and some types of cancer. Usually they have more difficulty losing weight and keeping it off than do people with other serious weight problems. Like anorexic and bulimic sufferers who exhibit psychological problems, individuals with binge-eating disorder have high rates of simultaneously occurring psychiatric illnesses, especially depression.

Patrick Henry is considered one of the great patriots of America’s early history. He was a leader in every protest against British tyranny and in every movement for colonial rights, openly speaking against the unfair taxation and overly burdensome regulations imposed upon the American colonists by the British Parliament.

In March 1775, Patrick Henry urged his fellow Virginians to arm themselves in self-defense. He spoke boldly in Richmond, Virginia, during the meeting of the state legislature. He closed that famous speech with the immortal words, “I know not what course others may take; but as for me, give me liberty or give me death.”

Use the first passage to answer questions 1 through 9 and the second passage to answer questions 10 and 11.

1. Fatalities occur in what percent of people with anorexia nervosa?
A) 2%
B) 10%
C) 15%
D) 30%
2. Which of the following consequences do all the eating disorders mentioned in the passage have in common?
A) heart ailments
B) stomach rupture
C) swollen joints
D) diabetes
3. According to the passage, people with binge-eating disorder are prone to all of the following EXCEPT:
А) loss of control.
B) depression.
C) low blood pressure.
D) high cholesterol.
4. Which of the following is NOT a statement about people with eating disorders?
A) People with anorexia nervosa commonly have a blood-related deficiency.
B) People with anorexia nervosa perceive themselves as overweight.
C) The female population is the primary group affected by eating disorders.
D) Fifty percent of people with bulimia have had anorexia nervosa.
5. People who have an eating disorder but nevertheless appear to be of normal weight are most likely to have:
А) obsessive-compulsive disorder.
B) bulimia nervosa.
C) binge-eating disorder.
D) anorexia nervosa.
6. Glandular functions of eating-disorder patients slow down as a result of:
А) lowering body temperatures.
B) excessive thirst and urination.
C) protective measures taken by the body.
D) the loss of essential minerals.
7. The inability to eliminate body waste is related to:
А) dehydration.
B) an inflamed esophagus.
C) the abuse of laxatives.
D) weight-control programs.
8. According to the passage, which of the following is true of bulimia patients?
А) They may demonstrate unpredictable social behavior.
B) They often engage in compulsive exercise.
C) They are less susceptible to dehydration than are anorexia patients.
D) They frequently experience stomach ruptures.
9. Which of the following represent up to two-thirds of the binge eating disorder population?
А) older males
B) older females
C) younger males
D) younger females
10. This passage best supports the statement that:
А) Patrick Henry later became a governor of West Virginia.
B) the Virginia legislature was not listening to Henry’s speech.
C) Patrick Henry was willing to lay down his life for his country.
D) People in Colonial times faced harsh living conditions.
11. Which of the following would be the most appropriate title for this passage?
А) The Speeches of Patrick Henry
B) Patrick Henry, American Patriot
C) Early American Patriots
D) History of the Virginia Legislature

Arithmetic Reasoning

Please read all of these instructions carefully.

Click the start button to begin.

1. Rosa and her friends are eating out for dinner. If their bill was $45.80 and they leave a 20% tip, how much will dinner cost them in total?
A) $54.69
B) $46.72
C) $50.96
D) $54.96
2. If the U.S. mint produces exactly one million dimes every month, then what is the total value of the dimes that it produces in one year?
A) $120,000
B) $750,000
C) $1,200,000
D) $1,250,000
3. A man, who was driving his new hybrid SUV, used 10 gallons of gasoline to travel 180 miles. Assuming conditions remain the same, how many gallons of gasoline will he need to drive his hybrid SUV 450 miles?
А) 18 gallons
B) 20 gallons
C) 22 gallons
D) 25 gallons
4. The length of a rectangle is twice its width. If the perimeter of the rectangle is 60 ft, then what is the area of the rectangle?
A) 196 ft2
B) 200 ft2
C) 220 ft2
D) 245 ft2
5. On his way to and home from work, John can ride his bike at a constant speed of 16 mph. If he lives 60 miles away from work, how much time does he spend commuting to, and returning from, work each day?
А) 3 hours and 45 minutes
B) 4 hours
C) 7 hours and 30 minutes
D) 8 hours
6. The weight of water is 62.4 pounds per cubic foot. What is the weight of water that fills a rectangular container that measures 6 inches wide, 6 inches long, and 1 foot tall?
А) 15.6 lbs
B) 62.4 lbs
C) 31.2 lbs
D) 7.8 lbs
7. How many feet will a dot on the rim of a wheel travel if the wheel makes 1,000 rotations and has a radius of one foot?
А) 628 feet
B) 314 feet
C) 3140 feet
D) 6280 feet
8. The heights of a group of elite long-distance runners are: 160 cm, 137 cm, 149 cm, 153 cm, and 161 cm, respectively. Find the average height of this group of runners.
А) 140 cm
B) 152 cm
C) 145 cm
D) 150 cm
9. In fiscal year 2020, the Army recruiting station in Hawaii enlisted 600 people. If twenty-five percent of the people who enlisted were under twenty-years-old and thirty-five percent were between twenty to twenty-two-years-old, how many of the recruits were over twenty-two-years-old?
А) 200 people
B) 220 people
C) 240 people
D) 260 people
10. In a class of 30 students, 19 are studying French, 12 are studying Spanish, and 7 are studying both French and Spanish. How many students are not taking any foreign languages?
А) 4
B) 5
C) 7
D) 6
11. Ethan’s current test scores in Calculus III are 95, 90, and 83. What must he score on his next test to have an average test score of 90?
А) 92
B) 90
C) 89
D) 95
12. During the holidays, a store offers successive discounts on a computer of 10% and 20%, respectively. If computer originally costs $570, what is the final sales price of the computer?
А) $410.40
B) $399.00
C) $400.50
D) $375.40
13. During their senior year, all 231 of the senior students went on a field trip to Orlando, Florida. Some of the students rode in vans, which hold 7 students each, and some of the students rode in buses, which hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles total?
А) 7 vans and 8 buses
B) 8 vans and 7 buses
C) 9 vans and 6 buses
D) 10 vans and 5 buses
14. One pipe can fill a tank in 15 hours, and a larger pipe can fill the same tank in 10 hours. If both pipes are used simultaneously, how many hours will it take to fill this tank?
А) 4 hours
B) 5 hours
C) 6 hours
D) 7 hours
15. The measures, in degrees, of the three angles of a triangle are given by 2x + 1, 3x - 3, and 9x. What is the measure of the smallest angle in the triangle?
А) 13 degrees
B) 36 degrees
C) 27 degrees
D) 32 degrees
16. A barge goes downstream and covers the distance between two ports in 4 hours, while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 mph, what is the speed of the barge in still water?
А) 12 mph
B) 14 mph
C) 16 mph
D) 18 mph