Grammar Hero's ASVAB Practice Test
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8 minutes
20 minutes
22 minutes
39 minutes
1. Acclimate most nearly means:
A) Careful
B) Colorful
C) Cautious
D) Adapt
2. Ambidextrous most nearly means:
A) Versatile
B) Demoralize
C) Reminiscence
D) Untidy
3. Multifarious most nearly means:
А) Revolting
B) Varied
C) Coalition
D) Ordinary
4. Innocuous most nearly means:
A) Harmless
B) Scuffle
C) Warlike
D) Beseech
5. Chagrin most nearly means:
А) Plead
B) Disappointment
C) Judge
D) Exact
6. Applicable most nearly means:
А) Pertinent
B) Buzz
C) Tangible
D) Calculable
7. Obsolete most nearly means:
А) Betrayal
B) Mistreat
C) Haphazard
D) Outdated
8. Duress most nearly means:
А) Snatch
B) Coercion
C) Reward
D) Comfort
9. Explicit most nearly means:
А) Deliver
B) Specific
C) Regret
D) Block
10. Meticulous most nearly means:
А) Aversion
B) Conceited
C) Spurious
D) Precise
11. Renounce most nearly means:
А) Substantiate
B) Relinquish
C) Question
D) Charge
12. Sojourn most nearly means:
А) Hideaway
B) Wield
C) Visit
D) Muffle
13. Brandish most nearly means:
А) Manage
B) Lithe
C) Venture
D) Display
14. Facsimile most nearly means:
А) Copy
B) Annoyance
C) Entrap
D) Latitude
15. Coerce most nearly means:
А) Dilapidate
B) Opposite
C) Force
D) Misdeed
16. Officious most nearly means:
А) Bossy
B) Pursuit
C) Mockery
D) Distinct

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. Evaluate the expression using the given values: 2x3 - x2 + y, for x = -3 and y = 2.
A) -42
B) -21
C) -37
D) -61
2. What are the factors of y2 + 16y + 60?
A) (y + 6)(y + 10)
B) (y - 6)(y -10)
C) (y + 5)(y + 12)
D) (y - 3)(y + 20)
3. What is the area of a parallelogram (A = bh) if it has a base of 4x + 3 and a height of 7x - 5?
А) 28x2 - x + 15
B) 28x2 + x - 15
C) (4x + 3)(7x - 5)(4x)(7x)
D) 28x(x + 3)(x - 5)
4. Subtract 3x3 + 5x2 - 7x + 10 from 6x3 - 8x2 + x + 10.
A) 3x3 - x2 + 8x + 20
B) 3x3 + 13x2 - 8x
C) 3x3 - 13x2 + 8x
D) 3x3 - 13x2 + 8x + 20
5. If C is 100, then what is F? Use C = 5⁄9(F - 32).
А) 202
B) 192
C) 148
D) 212
6. Find the slope of the line that passes through the points (12, -18) and (-15, -18).
А) 0
B) -4
C) Undefined
D) 12
7. Which of the following is NOT a prime number: 43, 97, 71, 77?
А) 43
B) 97
C) 71
D) 77
8. What is the product of 3 and 2 2⁄5?
А) 8
B) 7 1/5
C) 6 4/5
D) 6 2/5
9. Find the value of x such that: 8x - 3 = 164 - x
А) 4
B) 7/2
C) 25/7
D) 11/3
10. What is the length of the diagonal of a rectangle that has a length of 12 and width of 5?
А) 13
B) 12
C) 10
D) 11
11. Solve the absolute value equation: |4x - 15| + 1 = 18
А) x = 8
B) x = -1/2
C) x = -1/3 and x = 2
D) x = -1/2 and x = 8
12. What is the height of a triangle that has a base of 8 feet and an area of 156 square feet?
А) 44 feet
B) 39 feet
C) 34 feet
D) 27 feet
13. If a circle has a diameter of 14 inches, then what is its area? Use 22/7 for pi.
А) 134 inches2
B) 144 inches2
C) 154 inches2
D) 164 inches2
14. If 4! is the same as 4 x 3 x 2 x 1, then what is 4! x 3!?
А) 124
B) 136
C) 144
D) 158
15. The solution of 4(x + 2) - 1 > 5 - 7(4 - x) is:
А) x < 10
B) x > 10
C) x < 8
D) x < 9
16. What is the area of the shaded section of the figure below?

А) 10 cm2
B) 12 cm2
C) 14 cm2
D) 16 cm2

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.

Today, bicycles are elegantly simple machines that are common around the world. Many people ride bicycles for recreation, whereas others use them as a means of transportation. The first bicycle, called a draisienne, was invented in Germany in 1818 by Baron Karl de Drais de Sauerbrun. Because it was made of wood, the draisienne wasn’t very durable nor did it have pedals. Riders moved it by pushing their feet against the ground.

In 1839, Kirkpatrick Macmillan, a Scottish blacksmith, invented a much better bicycle. Macmillan’s machine had tires with iron rims to keep them from getting worn down. He also used foot-operated cranks, similar to pedals, so his bicycle could be ridden at a quick pace. It didn’t look much like the modern bicycle, though, because its back wheel was substantially larger than its front wheel. Although Macmillan’s bicycles could be ridden easily, they were never produced in large numbers.

In 1861, Frenchman Pierre Michaux and his brother Ernest invented a bicycle with an improved crank mechanism. They called their bicycle a vélocipède, but most people called it a “bone shaker” because of the jarring effect of the wood and iron frame. Despite the unflattering nickname, the vélocipède was a hit. After a few years, the Michaux family was making hundreds of the machines annually, mostly for fun-seeking young people.

Ten years later, James Starley, an English inventor, made several innovations that revolutionized bicycle design. He made the front wheel many times larger than the back wheel, put a gear on the pedals to make the bicycle more efficient, and lightened the wheels by using wire spokes. Although this bicycle was much lighter and less tiring to ride, it was still clumsy, extremely top-heavy, and ridden mostly for entertainment.

It wasn’t until 1874 that the first truly modern bicycle appeared on the scene. Invented by another Englishman, H. J. Lawson, the safety bicycle would look familiar to today’s cyclists. The safety bicycle had equal-sized wheels, which made it much less prone to toppling over. Lawson also attached a chain to the pedals to drive the rear wheel. By 1893, the safety bicycle had been further improved with air-filled rubber tires, a diamond-shaped frame, and easy braking. With the improvements provided by Lawson, bicycles became extremely popular and useful for transportation. Today, they are built, used, and enjoyed all over the world.

The composer Wolfgang Amadeus Mozart’s remarkable musical talent was apparent even before most children can sing a simple nursery rhyme. Wolfgang’s older sister Maria Anna (who the family called Nannerl) was learning the clavier, an early keyboard instrument, when her three-year-old brother took an interest in playing. As Nannerl later recalled, Wolfgang “often spent much time at the clavier picking out thirds, which he was always striking, and his pleasure showed that it sounded good.” Their father Leopold, an assistant concertmaster at the Salzburg Court, recognized his children’s unique gifts and soon devoted himself to their musical education.

Born in Salzburg, Austria, on January 27, 1756, Wolfgang had composed his first original work by age five. Leopold planned to take Nannerl and Wolfgang on tour to play before the European courts. Their first venture was to nearby Munich where the children played for Maximillian III Joseph, elector of Bavaria. Leopold soon set his sights on the capital of the Hapsburg Empire, Vienna. On their way to Vienna, the family stopped in Linz, where Wolfgang gave his first public concert. By this time, Wolfgang was not only a virtuoso harpsichord player, but he had also mastered the violin. The audience at Linz was stunned by the six-year-old, and word of his genius soon traveled to Vienna. In a much anticipated concert, the Mozart children appeared at the Schonbrunn Palace on October 13, 1762. They utterly charmed the emperor and empress.

Following this success, Leopold was inundated with invitations for the children to play, for a fee. Leopold seized the opportunity and booked as many concerts as possible at courts throughout Europe. A concert could last three hours, and the children played at least two per a day. Today, Leopold might be considered the worst kind of stage parent, but at the time, it was not uncommon for prodigies to make extensive concert tours. Even so, it was an exhausting schedule for a child who was just past the age of needing an afternoon nap.

Use the first passage to answer questions 1 through 6 and the second passage to answer questions 7 through 11.

1. There is enough information in this passage to show that:
A) several people contributed to the development of the modern bicycle.
B) only a few vélocipèdes built by the Michaux family are still in existence.
C) for most of the nineteenth century, few people rode bicycles just for fun.
D) bicycles with wheels of different sizes cannot be ridden easily.
2. The first person to use a gear system on bicycles was:
A) H. J. Lawson.
B) Kirkpatrick Macmillan.
C) Pierre Michaux.
D) James Starley.
3. This passage was most likely written in order to:
А) persuade readers to use bicycles for transportation.
B) describe the problems that bicycle manufacturers encounter.
C) compare bicycles used for fun with bicycles used for transportation.
D) tell readers a little about the history of the bicycle.
4. Macmillan added iron rims to the tires of his bicycle to:
A) add weight to the bicycle.
B) make the tires last longer.
C) make the ride less bumpy.
D) make the ride less tiring.
5. As it is used in the fourth paragraph, the underlined word revolutionized most nearly means:
А) cancelled.
B) changed drastically.
C) became outdated.
D) exercised control over.
6.Which of the following statements from the passage represents the writer’s opinion?
А) The safety bicycle would look familiar to today’s cyclists.
B) Two hundred years ago, bicycles didn’t even exist.
C) The Michaux brothers called their bicycle a vélocipède.
D) Macmillan’s machine had tires with iron rims.
7. According to the passage, Wolfgang became interested in music because:
А) his father thought it would be profitable.
B) he had a natural talent.
C) he saw his sister learning to play an instrument.
D) he came from a musical family.
8. What was the consequence of Wolfgang’s first public appearance?
А) He charmed the emperor and empress of Hapsburg.
B) Word of Wolfgang’s genius spread to the capital.
C) Leopold set his sights on Vienna.
D) Invitations for the miracle children to play poured in.
9. Each of the following statements about Wolfgang Mozart is directly supported by the passage except:
А) Mozart’s father, Leopold, was instrumental in shaping his career.
B) Maria Anna was a talented musician in her own right.
C) Wolfgang’s childhood was devoted to his musical career.
D) Wolfgang preferred the violin to other instruments.
10. According to the passage, during Wolfgang’s early years, child prodigies were:
А) few and far between.
B) accustomed to extensive concert tours.
C) expected to spend at least six hours per a day practicing their music.
D) expected to play for courts throughout Europe.
11. Based on information found in the passage, Mozart can best be described as:
А) a child prodigy.
B) a workaholic.
C) the greatest composer of the eighteenth century.
D) a victim of his father’s ambition.

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. If Patricia paid 20% of $32,000 as a down payment for a new car, how much was her down payment?
A) $4,100
B) $640
C) $1,400
D) $6,400
2. During the holidays, a bracelet that regularly sells for $44 is on sale for 25% off. What is the sale price of the bracelet?
A) $31.00
B) $32.00
C) $33.00
D) $34.00
3. At 3 PM in the afternoon, a 6-foot-tall man, who is standing next to an oak tree, casts an 8-foot shadow. If the oak tree is 15-feet-tall, then how long is its shadow?
А) 20 feet
B) 19 feet
C) 18 feet
D) 17 feet
4. James, a used car salesman, earns a monthly salary of $1,000 as well as a commission of $500 for every car he sells. How many cars must he sell to earn $10,000 in one month?
A) 16
B) 18
C) 20
D) 22
5. A high school cross country team sent 25% of its runners to a regional competition. Of those sent to the competition, only 10% won medals. If two runners earned medals, then how many runners are on the school's cross country team in total?
А) 125
B) 80
C) 10
D) 8
6. In a class on Ufology (the study of UFOs), 1/3 of the class had an A average, 1/2 had a B average, and the rest of the class had a C average. If there were 60 students in that class, how many of them had a C average?
А) 12
B) 11
C) 10
D) 9
7. The probability of drawing a blue marble from a bag of marbles is 1/20, and the probability of drawing a red marble from the same bag of marbles is 7/20. What is the probability of drawing either a red or a blue marble from the bag?
А) 2/5
B) 1/4
C) 1/3
D) 2/7
8. How many feet of a wire fence is necessary to enclose a garden that is square and has an area of 225 square feet?
А) 30 feet
B) 40 feet
C) 50 feet
D) 60 feet
9. The price of king crab in Kansas is $50.00 per pound. This is 200% of the cost of king crab per pound in Alaska. How much does king crab cost per pound in Alaska?
А) $23.00
B) $24.00
C) $25.00
D) $26.00
10. If a person can read 40 pages in 45 minutes, how many minutes will it take them to read 264 pages?
А) 296
B) 297
C) 298
D) 299
11. If the U.S. Mint produces exactly one million nickels every month, then what is the total value of the nickels that it produces in a year?
А) $60,000
B) $250,000
C) $500,000
D) $600,000
12. Lynn received four test scores in her chemistry class. Each test was worth 100 points, and she had an overall class average of 85%. If she scored 100s on her first three tests, then what must she have scored on her fourth test?
А) 40
B) 45
C) 50
D) 60
13. An IT worker was paid $15,036 for seven months of work. If he received the same amount of pay each month, then how much was he paid for his first two months of work?
А) $2,148
B) $3,222
C) $4,296
D) $6,444
14. In 2014, the population of a town was 5,000. In 2015, however, the population of that town grew to 8,000. What was the percent increase in the population of the town from 2014 to 2015?
А) 40%
B) 60%
C) 50%
D) 55%
15. A gas truck can fill a gas tank at the rate of 157 cubic feet per minute. If a gas tank in the shape of a right circular cylinder has a height of 4 feet and a radius of 5 feet, how long will it take the gas truck to fill the gas tank? Use 3.14 for pi.
А) 4 minutes
B) 3 minutes
C) 2 minutes
D) 1 minute
16. If the weight of water is 62.4 pounds per cubic foot, then what is the weight of the water that fills a rectangular container that is 6 inches long, 6 inches wide, and 6 inches tall?
А) 7.8 pounds
B) 3.9 pounds
C) 15.6 pounds
D) 31.2 pounds