AFQT Practice Test

Arithmetic Reasoning

Time: 36 Minutes

Questions: 30

Directions: This section tests your ability to reason through mathematical problems using basic arithmetic. Carefully read each question and choose the answer choice that best answers the question.

  1. If you made $726.35 per week for the first half of the month and 10% more per week for the second half of the month, how much money did you make over the entire month?
    1. (A) $1,452.70
    2. (B) $1,597.97
    3. (C) $2,905.40
    4. (D) $3,050.67
  2. The average time a song on a particular album plays is 2 minutes and 35 seconds. Assuming all of the songs on the album are about the average length, how many complete songs could you play during a 10-minute car ride to the store?
    1. (A) 3
    2. (B) 4
    3. (C) 5
    4. (D) 6
  3. A cylindrical pool is 6 feet tall and 10 feet wide at its diameter. How much water can it hold?
    1. (A) 147 ft2
    2. (B) 471 ft2
    3. (C) 147 ft3
    4. (D) 471 ft3
  4. Aaron wants to dedicate at least 20% of his free time after work three days per week to working out in the gym. If he has 7 hours of free time after work on an average day, how many hours will he have to spend at the gym in a week to meet this goal?
    1. (A) 1.4
    2. (B) 4.2
    3. (C) 4.3
    4. (D) 5.2
  5. Two runners leave the same starting point at the same time. Runner A moves at a pace of 4.2 miles per hour. Runner B moves at a pace of 3.6 miles per hour. After 2.25 hours, how much farther has Runner A gone?
    1. (A) 1.35 miles
    2. (B) 1.82 miles
    3. (C) 2.45 miles
    4. (D) 8.12 miles
  6. You want to cash in part of your 401(k) early to put a down payment on a house. Currently, you have $15,689 in your account. You’re allowed to take up to 50% of this amount to put toward the purchase of a new home and will have to pay a 12% penalty. How much money will you have after the penalty is paid, if you take the full amount allowed?
    1. (A) $6,903.16
    2. (B) $7,844.50
    3. (C) $8,362.78
    4. (D) $9,956.22
  7. Sarah will be 6 on her birthday next week. If Max takes her out for ice cream today and he is 6 times her age, how old is he?
    1. (A) 15
    2. (B) 25
    3. (C) 30
    4. (D) 36
  8. Emily has to write a 12-page paper for her history class. After working all night, she has completed 7 pages. What percent of the total paper does she have left to complete?
    1. (A) 35%
    2. (B) 42%
    3. (C) 58%
    4. (D) 100%
  9. A child’s toy wish list has a train, airplane, doll, video game, and soccer ball on it. What’s the probability she will get a toy that’s a vehicle?
    1. (A)
    2. (B)
    3. (C)
    4. (D)
  10. Fourteen is what fraction of twenty-one?
    1. (A)
    2. (B)
    3. (C)
    4. (D)
  11. The members of your team are 25, 18, 21, 23, 28, and 26. What’s the average age?
    1. (A) 20.5
    2. (B) 23.5
    3. (C) 26.3
    4. (D) 141
  12. Murray decided to buy a sofa for $1,937. When he had the sales clerk ring up his purchase, he found that he had to pay 7% sales tax and that the sofa was 15% off. How much did Murray end up paying for the sofa in all?
    1. (A) $1,478.04
    2. (B) $1,528.40
    3. (C) $1,646.48
    4. (D) $1,761.73
  13. Your friend is an avid collector of sci-fi memorabilia and acquires 6 new pieces per quarter year to add to her collection. If she’s been collecting at this rate for 15 years, how many pieces of memorabilia does your friend’s collection contain?
    1. (A) 24
    2. (B) 180
    3. (C) 275
    4. (D) 360
  14. Ray mowed three lawns, cleaned two gutters, and raked three yards. If he charges $22 for each job he performs on the ground and $28 for any job he needs to climb a ladder for, how much money did he make doing these jobs?
    1. (A) $56
    2. (B) $132
    3. (C) $188
    4. (D) $210
  15. If it takes 4 cups of sugar to make one batch of brownies that yields 24 pieces, how many cups of sugar would you need to make 132 brownies?
    1. (A) 22
    2. (B) 23
    3. (C) 25
    4. (D) 28
  16. It has been 16 years since Jane has seen a Broadway play. For Max, it has been only as long. How many years has it been since he’s seen a Broadway play?
    1. (A) years
    2. (B) years
    3. (C) years
    4. (D) years
  17. Your son leaves for sleep-away camp on Monday, June 26. He promises to write you every day until he gets home on August 4, and twice every Sunday. If he does not write home on the day he arrives, how many letters can you expect to get by the time he comes home?
    1. (A) 23
    2. (B) 39
    3. (C) 44
    4. (D) 48
  18. Private Joe can bench press 125 pounds on a 15-pound bar. Private Jane can bench press 135 pounds on a 10-pound bar. How much more weight can Private Jane press?
    1. (A) 5 pounds
    2. (B) 8 pounds
    3. (C) 10 pounds
    4. (D) 12 pounds
  19. You’re used to getting up at 8 A.M. In boot camp, you have to get up at 4:30 A.M. Assuming you go to bed at the same time every night, how much less sleep will you get over the course of one full week?
    1. (A) About of a day
    2. (B) About of a day
    3. (C) About of a day
    4. (D) About 1 day
  20. You buy a new phone for $185 and receive a 35% rebate check in the mail. How much is the check for?
    1. (A) $46.75
    2. (B) $64.75
    3. (C) $67.54
    4. (D) $76.45
  21. A lecture hall has 266 people attending a speech about biology. Of these people, 60 are history majors, 144 are biology majors, and the rest are undeclared. What is the ratio of history majors to biology majors?
    1. (A) 5:12
    2. (B) 30:31
    3. (C) 12:5
    4. (D) 31:30
  22. Of your neighbors, are in favor of a block party and are in favor of a block-long garage sale. None are in favor of any other kind of activity. How many are in favor of having some kind of neighborhood activity?
    1. (A)
    2. (B)
    3. (C)
    4. (D)
  23. What is negative four plus positive eight?
    1. (A) –4
    2. (B) 4
    3. (C) –12
    4. (D) 12
  24. If for every time a bicycle wheel turns once, you have to pedal three times, what’s the ratio of wheel turns to times you have to pedal?
    1. (A) 3:1
    2. (B) 1:3
    3. (C) 2:3
    4. (D) 2:4
  25. Your monthly rent is $875. If it increases by $200 for the last three months of the year, how much will you pay in rent over the course of the entire year?
    1. (A) $1,075
    2. (B) $3,225
    3. (C) $7,875
    4. (D) $11,100
  26. In 724.9654, the 6 is in the
    1. (A) ones place
    2. (B) tens place
    3. (C) tenths place
    4. (D) hundredths place
  27. A dance club has 125 women whose hair is either blond, brown, red, or black. Twenty percent are blonde, 20% are brunette, and 20% are redheaded. What is the ratio of women with black hair to those who are brunette?
    1. (A)
    2. (B)
    3. (C)
    4. (D)
  28. On Tuesday, Bill bought $89.75 worth of items from the grocery store. On Wednesday, he returned the $1.29 spaghetti, the $2.47 box of dog treats, and the $5.63 value package of floor cleaner to the store. After having returned the items, how much money did he end up spending at the store between the two days?
    1. (A) $9.40
    2. (B) $18.80
    3. (C) $80.36
    4. (D) $99.20
  29. If Assembly Line A can produce 14 boxes of chocolate per half hour and Assembly Line B can produce twice as much as that, how many boxes can they produce together over 12 hours?
    1. (A) 168
    2. (B) 336
    3. (C) 672
    4. (D) 1,008
  30. If you rounded $25.36 to the nearest dime, you would have
    1. (A) $25.30
    2. (B) $25.37
    3. (C) $25.40
    4. (D) $30.00

Word Knowledge

Time: 11 Minutes

Questions: 35

Directions: This section tests your knowledge of and ability to use vocabulary. Read each question and choose the answer choice that most nearly means the same as the underlined word.

  1. Desecrate most nearly means
    1. (A) cater.
    2. (B) violate.
    3. (C) package.
    4. (D) surround.
  2. Grueling most nearly means
    1. (A) difficult.
    2. (B) empty.
    3. (C) nourishing.
    4. (D) arresting.
  3. Listless most nearly means
    1. (A) disorganized.
    2. (B) bored.
    3. (C) confused.
    4. (D) impotent.
  4. Excel most nearly means
    1. (A) master.
    2. (B) recognize.
    3. (C) interest.
    4. (D) complete.
  5. Stride most nearly means
    1. (A) progress.
    2. (B) originate.
    3. (C) break.
    4. (D) listen.
  6. Provoke most nearly means
    1. (A) speak.
    2. (B) release.
    3. (C) call.
    4. (D) incite.
  7. Vogue most nearly means
    1. (A) search.
    2. (B) fad.
    3. (C) model.
    4. (D) belief.
  8. Haughty most nearly means
    1. (A) tight.
    2. (B) severe.
    3. (C) smug.
    4. (D) giving.
  9. Liberal most nearly means
    1. (A) progressive.
    2. (B) conservative.
    3. (C) fastidious.
    4. (D) outspoken.
  10. Garner most nearly means
    1. (A) placate.
    2. (B) generate.
    3. (C) invest.
    4. (D) blanket.
  11. Conviction most nearly means
    1. (A) mask.
    2. (B) felony.
    3. (C) certainty.
    4. (D) bluster.
  12. Accomplice most nearly means
    1. (A) bereavement.
    2. (B) relation.
    3. (C) cohort.
    4. (D) caregiver.
  13. Optimistic most nearly means
    1. (A) oppressive.
    2. (B) secretive.
    3. (C) positive.
    4. (D) owed.
  14. Although the teacher had told her student that if he did not improve his homework grades he would not pass the course, he still took a blasé attitude to her comments and completing his assignments.
    1. (A) studious
    2. (B) unconcerned
    3. (C) slight
    4. (D) average
  15. Translucent most nearly means
    1. (A) crystalline.
    2. (B) motionless.
    3. (C) vague.
    4. (D) beautiful.
  16. Lackluster most nearly means
    1. (A) muddy.
    2. (B) vengeful.
    3. (C) optimistic.
    4. (D) shiny.
  17. Compensate most nearly means
    1. (A) annihilate.
    2. (B) move.
    3. (C) provide.
    4. (D) repay.
  18. Our ruse would have worked if our little brother hadn’t told mother that we were only pretending to be sick.
    1. (A) regret.
    2. (B) trick.
    3. (C) incite.
    4. (D) flower.
  19. Languid most nearly means
    1. (A) belonging.
    2. (B) fortunate.
    3. (C) drooping.
    4. (D) trusted.
  20. The damage the illness did to my immune system leaves me vulnerable to all sorts of common infections.
    1. (A) exposed
    2. (B) over the top
    3. (C) brilliant
    4. (D) aged
  21. Prosaic most nearly means
    1. (A) appreciative.
    2. (B) supporting.
    3. (C) dull.
    4. (D) artistic.
  22. When Paige received an expensive new sports car for her 16th birthday, her brother was indignant, because he’d only gotten a new game system for his.
    1. (A) angry
    2. (B) healthy
    3. (C) average
    4. (D) pacified
  23. Calling most nearly means
    1. (A) arrangement.
    2. (B) fortune.
    3. (C) officiant.
    4. (D) vocation.
  24. Misrepresent most nearly means
    1. (A) stutter.
    2. (B) deceive.
    3. (C) orate.
    4. (D) gripe.
  25. Astronomical most nearly means
    1. (A) valid.
    2. (B) stellar.
    3. (C) negligent.
    4. (D) huge.
  26. Infer most nearly means
    1. (A) ramble.
    2. (B) diverge.
    3. (C) conclude.
    4. (D) reluctant.
  27. Fastidious most nearly means
    1. (A) painstaking.
    2. (B) generous.
    3. (C) arousing.
    4. (D) eager.
  28. Although Jimmy was apprehensive about being away from home for the first time, it helped that he had his best friend with him as he took the bus to camp.
    1. (A) anxious
    2. (B) fantastical
    3. (C) courteous
    4. (D) reluctant
  29. When the man thought about the negative consequences, he knew he would rue lying to get more money from his insurance company.
    1. (A) listen
    2. (B) anticipate
    3. (C) regret
    4. (D) welcome
  30. Perimeter most nearly means
    1. (A) measurement.
    2. (B) boundary.
    3. (C) charity.
    4. (D) consent.
  31. Conservative most nearly means
    1. (A) calculating.
    2. (B) accepting.
    3. (C) innovative.
    4. (D) traditional.
  32. Frantic most nearly means
    1. (A) beleaguered.
    2. (B) overworked.
    3. (C) wild.
    4. (D) produced.
  33. Sacred most nearly means
    1. (A) revered.
    2. (B) exceptional.
    3. (C) belated.
    4. (D) perfect.
  34. Gravity most nearly means
    1. (A) ineptitude.
    2. (B) mirth.
    3. (C) seriousness.
    4. (D) pull.
  35. Malicious most nearly means
    1. (A) official.
    2. (B) inappropriate.
    3. (C) designed.
    4. (D) harmful.

Paragraph Comprehension

Time: 13 Minutes

Questions: 15

Directions: This section tests your ability to read and understand written information, as well as come to logical conclusions based on a text. Read each passage and answer the questions that follow. Choose the answer choice that best answers the question.

A website is series of pages that are interconnected through hyperlinks. The structure of a website consists of a central page, called a home page, which contains the main information a visitor needs to know about the site. There is also a navigation bar that gives a listing of the other main information sections. After clicking the mouse on a specific link on the navigation bar, the corresponding page will come up on the screen.

  1. According to the passage, what would you use to click on a specific link when visiting a website?
    1. (A) navigation bar
    2. (B) hyperlink
    3. (C) mouse
    4. (D) blog

    Use the following passage to answer questions 2–3:

    Drinking coffee can help treat a headache. Caffeine works to block certain chemicals in the brain that make you sleepy and in the process, causes blood vessels to tighten up. Closing off or restricting the flow of blood vessels that are feeding a headache can help bring relief.

  2. Caffeine affects the
    1. (A) brain.
    2. (B) cardiovascular system.
    3. (C) only A.
    4. (D) both A and B.
  3. The author would most likely support
    1. (A) drinking coffee as a sleep aid.
    2. (B) drinking coffee as a natural headache remedy.
    3. (C) using coffee as a treatment for areas of the brain that need more blood.
    4. (D) all of the above.

    Use the following passage to answer questions 4–6:

    Colombia is the northwestern-most country in South America. Its northern border with Panama is the only direct land connection between Central and South America. Grassy plains, expansive mountain ranges, marshland, and coastal lowlands dominate the country’s topography. Colombia’s main products include coffee, cattle, sugar cane, chemicals, coal, and petroleum.

  4. In this paragraph, the word topography most nearly means
    1. (A) exports.
    2. (B) landforms.
    3. (C) imports.
    4. (D) elevation of mountains.
  5. The tone of this passage is
    1. (A) positive.
    2. (B) urgent.
    3. (C) negative.
    4. (D) neutral.
  6. What country separates Central and South America?
    1. (A) Panama
    2. (B) Guatemala
    3. (C) Colombia
    4. (D) Uruguay

    Use the following passage to answer questions 7–8:

    We have to get the new deck built before the end of the month. I’ve called three contractors already and can’t find one that can complete the task for the right price. I’m thinking of asking a coworker about the contractor he hired to build the new addition onto his house. He seemed to be happy with the man’s work.

  7. The next step the speaker will likely take is to
    1. (A) do the work himself.
    2. (B) hire one of the contractors that did not come in at price.
    3. (C) contact his coworker about his contractor.
    4. (D) look for other contractors in the phone book.
  8. According to the paragraph, the speaker is concerned about
    1. (A) time.
    2. (B) cost.
    3. (C) reliability.
    4. (D) all of the above.

    Use the following passage to answer questions 9–11:

    Wind farms are one of the leading sources of sustainable energy in the United States. Such farms contain one or more turbines with giant blades that are turned by the wind. This action converts the kinetic energy of the wind into mechanical energy through the rotation of the blades. The mechanical energy is then routed to a generator within the turbine, which converts that energy into yet another form, electricity.

  9. A good title for this passage would be
    1. (A) Wind Farms Produce the Most Electricity in the Nation
    2. (B) Sustainable Energy Now!
    3. (C) Wind Farms: A Sustainable Energy Source Based on Science
    4. (D) The U.S. Switches its Power Supply to Wind Energy
  10. According to the passage, wind has
    1. (A) kinetic energy.
    2. (B) potential energy.
    3. (C) mechanical energy.
    4. (D) rotational energy.
  11. The purpose of this passage is to
    1. (A) incite action.
    2. (B) inform.
    3. (C) publicize.
    4. (D) editorialize.

    Use the following passage to answer questions 12–15:

    The introduction of electronic devices that keep us constantly connected to work, friends, and family, coupled with the increasingly long workweek, is resulting in chronic exhaustion among U.S. adults. This increases levels of stress the body experiences and thus leads to increased levels of adrenaline. This means that chemically our bodies are constantly on edge, which costs a lot of physical and mental energy.

    Most adults aren’t even aware of the amount of stress they are under during a normal workday because they have become desensitized to the effects in order to get through the tasks they have on their plate. The physical costs of this desensitization, however, are greater than one might imagine.

  12. In this passage, the word desensitized most nearly means
    1. (A) more able to physically handle something.
    2. (B) becoming more aware of one’s surroundings.
    3. (C) losing the ability to feel or notice something.
    4. (D) more able to remember.
  13. According to the passage, a cause of exhaustion is
    1. (A) lack of time away from work.
    2. (B) constant interaction with electronic communication devices.
    3. (C) chemical imbalances caused by external stressors.
    4. (D) all of the above.
  14. The tone of this passage is
    1. (A) flippant.
    2. (B) concerned.
    3. (C) glib.
    4. (D) bored.
  15. The speaker would most likely support
    1. (A) a stress-awareness campaign being distributed to employees at Fortune 500 companies.
    2. (B) an increase in the number of hours in the standard workweek.
    3. (C) the introduction of computer software that would forward calls to a built-in hands-free phone in your car.
    4. (D) a political candidate whose agenda includes increasing the country’s gross national product.

Mathematics Knowledge

Time: 24 Minutes

Questions: 25

Directions: This section tests your knowledge of basic mathematics, algebra, and geometry. Carefully read each question and choose the answer choice that reflects the best answer.

  1. Reduce the following to lowest terms:
    1. (A)
    2. (B)
    3. (C)
    4. (D)
  2. The following diagram is an example of a

    1. (A) circumference.
    2. (B) chord.
    3. (C) radius.
    4. (D) diameter.
  3. k2 – 2k + 6 is a
    1. (A) coefficient.
    2. (B) constant.
    3. (C) quadratic expression.
    4. (D) variable.
  4. (b – 7) (b + 4) =
    1. (A) b2 – 3b + 28
    2. (B) b2 – 3b – 28
    3. (C) b2 – 11b – 28
    4. (D) b2 – 11b + 28
    1. (A)
    2. (B)
    3. (C)
    4. (D)
  6. 4 + a2 < 2a – 3 means
    1. (A) 4 + a2 is less than 2a – 3
    2. (B) 4 + a2 is greater than 2a – 3
    3. (C) 4 + a2 is equal to 2a – 3
    4. (D) 4 + a2 is greater than or equal to 2a – 3
  7. A mathematical constant that appears in many formulas involving circles is
    1. (A) ≠
    2. (B)
    3. (C) ≤
    4. (D)
  8. Factor: b2 – 10b – 24
    1. (A) (b + 3) (b – 8)
    2. (B) (b + 3) (b + 8)
    3. (C) (b + 2) (b – 12)
    4. (D) (b – 4) (b + 12)
  9. 7! =
    1. (A) –14
    2. (B) 28
    3. (C) 4,005
    4. (D) 5,040
    1. (A)
    2. (B)
    3. (C)
    4. (D)
  11. x0 =
    1. (A) 0
    2. (B) 1
    3. (C) 2
    4. (D) 3
  12. The square root of 196 is
    1. (A) 14
    2. (B) 15
    3. (C) 16
    4. (D) 17
  13. 3 + 2 [1 + 2(1 + 2)]2
    1. (A) 36
    2. (B) 49
    3. (C) 98
    4. (D) 101
  14. In the following diagram, what is the value of angle 3?

    1. (A) 30º
    2. (B) 45º
    3. (C) 90º
    4. (D) 180º
  15. (x3)3
    1. (A) x–4
    2. (B) x6
    3. (C) x9
    4. (D) x–9
  16. The three internal angles of a triangle always add up to
    1. (A) 90º
    2. (B) 90 ft2
    3. (C) 180º
    4. (D) 180 ft2
  17. Factor: a2 - 49
    1. (A) (a – 7)(a – 7)
    2. (B) (a + 7)(a + 7)
    3. (C) (a + 7)(a – 7)
    4. (D) none of the above
  18. Solve for a:
    1. (A) 4
    2. (B) 5
    3. (C) 6
    4. (D) 7
  19. If a = 2, a – 6 + 3a – 4a =
    1. (A) 3
    2. (B) –3
    3. (C) 6
    4. (D) –6
    1. (A)
    2. (B)
    3. (C) 1
    4. (D) 2
  21. Simplify: (2x2)(14x) + x – xy =
    1. (A) 28x3 + x – xy
    2. (B) x(28x2 + 1 – y)
    3. (C) 28x3 + x2y
    4. (D) 28x5y
  22. Factor: 10y + 15xy + 50y2
    1. (A) y(10 + 15x + 50y)
    2. (B) 5(2y + 3xy + 10y)
    3. (C) 5x(2 + 3y + 10y2)
    4. (D) 5y(2 + 3x + 10y)
  23. What is the area of a pool table that is 8.2 feet long by 5.6 feet wide?
    1. (A) 45.9 ft2
    2. (B) 45.9 ft3
    3. (C) 52.9 ft2
    4. (D) 54.9 ft3
  24. You have a box that is 4 feet tall, 4 feet wide, and 3 feet long. What is its volume?
    1. (A) 48 ft2
    2. (B) 48 ft3
    3. (C) 88 ft2
    4. (D) 88 ft3
  25. A monomial is
    1. (A) any expression that has more than three terms.
    2. (B) an expression with three terms joined by operations.
    3. (C) a polynomial that has just one term.
    4. (D) an expression with two terms joined by operations.
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