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Updated July 2026 with official ASVAB sources

ASVAB Arithmetic Reasoning Practice Test 2: 208 Word Problems

Use this second ASVAB Arithmetic Reasoning practice test after the main ASVAB Arithmetic Reasoning Practice Test. Official ASVAB pages describe Arithmetic Reasoning, abbreviated AR, as the ability to solve arithmetic word problems. This Test 2 page gives a fresh mixed set, a beginner review, no-calculator habits, official timing context, and internal links to the ASVAB score and AFQT resources that depend on AR performance.

Arithmetic Reasoning Test 1 ASVAB Study Guide ASVAB Score Guide AFQT Score Calculator ASVAB Score Calculator Mathematics Knowledge Practice Word Knowledge Practice Paragraph Comprehension Practice

Why This Test 2 Page Exists

This page is not a duplicate of the first Arithmetic Reasoning practice page. Test 1 introduces the AR routine and gives a first full set. Test 2 gives a new mixed set for students who need more word-problem volume before moving into timed work. That intent separation matters for students and SEO. A student searching for "ASVAB Arithmetic Reasoning Practice Test 2" usually wants additional problems, not another general ASVAB overview. This page stays in that lane and links out to the broader pages when the student needs logistics, score interpretation, or calculators for official score reports.

Arithmetic Reasoning is one of the highest-priority areas for many beginners because official ASVAB score guidance lists AR as one of the four subtests used to compute the AFQT score, along with Mathematics Knowledge, Paragraph Comprehension, and Word Knowledge. That does not mean this page can predict your AFQT percentile. It means AR practice deserves careful attention because missed word problems can affect eligibility conversations and retake planning. Use this page to learn setup and pacing; use official score reports and score guides after the real test.

Original practice notice: These 208 questions are original NUM8ERS practice questions. They are not real ASVAB items, not leaked test content, and not copied from official sample questions. Official ASVAB material treats test questions as controlled testing materials, so real-item sharing is not a legitimate study strategy.

Official Arithmetic Reasoning Scope

Official ASVAB public pages describe Arithmetic Reasoning as the ability to solve arithmetic word problems. The official subtests page places AR in the Math domain. The official Arithmetic Reasoning sample page uses ordinary word-problem settings such as rates, proportions, depreciation, and gallons per second. Those public examples show the flavor of the subtest without giving a full school-style curriculum. The safe way to build a study plan is to stay close to that public scope: read a real-world situation, choose the correct arithmetic relationship, calculate without a calculator, and check the unit.

There is an important difference between AR and Mathematics Knowledge. AR asks you to translate words into arithmetic. Mathematics Knowledge asks whether you know high school math principles. A ratio word problem belongs here because the main challenge is interpreting the situation. A formula-identification problem may belong more naturally on the ASVAB Mathematics Knowledge Practice Test. A strong ASVAB plan trains both, but it keeps their intent separate.

AR study laneWhat it asks you to doCommon miss
Rates and unit ratesConvert a total into "per one" or use a rate to find a total.Dividing when the situation requires multiplication, or mixing hours and minutes.
Percent problemsFind discounts, tax, tips, increases, decreases, and percent of a number.Using the final amount as the base when the starting amount is required.
Ratios and proportionsScale a relationship up or down while keeping parts proportional.Forgetting to add all ratio parts before finding one part.
Averages and totalsMove between average, number of items, and total.Averaging averages without considering group sizes.
Measurement and moneyConvert units and calculate cost, change, area, perimeter, volume, or elapsed time.Skipping a unit conversion before doing the final operation.

Timing and Calculator Context

Official CAT-ASVAB information lists Arithmetic Reasoning as 15 scored questions with a 55-minute time limit when no tryout questions are present. The same official CAT-ASVAB table lists possible tryout questions and a longer time limit when tryouts appear. Official ASVAB material explains that tryout questions do not count toward the score and may be randomly mixed into selected subtests. The official ASVAB fact sheet lists the paper-and-pencil Arithmetic Reasoning section as 30 questions in 36 minutes.

Official calculator guidance is also important. ASVAB materials explain that math items are written so examinees do not need calculators, and official FAQs explain that the ASVAB assesses the ability to apply principles and do hand calculations without a calculator. Practice this page the same way. Use scratch paper, reduce fractions, estimate before multiplying, and check units before selecting an answer. If an official administrator gives accommodation-specific instructions, follow those official instructions; otherwise, train for no-calculator work.

Practice modeHow to use this Test 2 pageWhy it helps
Untimed learning passAnswer all 208 questions with explanations closed until after each choice.Builds setup accuracy before speed pressure hides the error pattern.
CAT-style setChoose 15 mixed questions and set 55 minutes, then tighten your pace as accuracy improves.Matches the official scored AR count when no tryout questions are present.
P&P-style setChoose 30 questions and set 36 minutes.Builds paper-style pacing and quick unit checks.
Missed-question repairRetake only missed questions after 24 hours with no explanation open.Shows whether you learned the setup or only remembered the answer letter.

Beginner Word-Problem Method

If you are starting from zero, memorize a process before memorizing tricks. First, underline the question being asked. Second, label the numbers with units. Third, decide whether the problem is asking for a total, a part, a rate, a percent, a missing average, a converted unit, or a comparison. Fourth, estimate the answer. Fifth, calculate. Sixth, check that the answer has the correct unit and makes sense in the story.

Do not overtrust keywords. "More than" can mean addition in one problem and comparison in another. "Each" can require multiplication when you know the number of groups, or division when you know the total and need one group. "Of" often means multiply in a percent problem, but the base still matters. AR rewards students who understand what the sentence means. A scratch setup such as "48 miles / 3 hours = 16 miles per hour" is stronger than trying to hold the story in your head.

For no-calculator fluency, build small habits. Know that 25 percent is one fourth, 20 percent is one fifth, 10 percent is one tenth, and 50 percent is one half. Know that 3 feet equals 1 yard, 12 inches equals 1 foot, 16 ounces equals 1 pound, 4 quarts equals 1 gallon, and 60 minutes equals 1 hour. Round to estimate: 19.8 percent of 51 is about 20 percent of 50, or about 10. If your exact answer is 100, something probably went wrong.

Finally, use answer choices intelligently. If the problem asks for a price after a discount, the answer should be less than the original price. If it asks for a distance traveled at a positive speed for a positive time, the answer cannot be negative. If two choices differ by a factor of 12, check whether feet and inches were mixed. If two choices differ by a factor of 60, check whether hours and minutes were mixed.

AR Test 2 Review Map

Rates and Work

Use rate times time equals amount when the rate stays constant. If a pump fills 7 gallons per minute for 9 minutes, it fills 63 gallons. If 84 pages are read in 6 hours, the rate is 14 pages per hour. For work problems, find the per-hour or per-minute pace first, then scale it.

Percents and Money

Percent problems need a base. A 15 percent discount on $80 is $12, so the sale price is $68. An 8 percent tax on $50 is $4, so the final price is $54. Percent increase and decrease compare the change to the original amount, not to the final amount.

Ratios and Averages

For a ratio such as 2:3:5, there are 10 total parts. Divide the total by 10 to find one part, then multiply. For averages, use total equals average times count. To find a missing value, find the needed total and subtract the known total.

Measurement and Geometry

Convert before calculating. Area uses square units, perimeter uses length units, and volume uses cubic units. A rectangle with length 12 feet and width 9 feet has area 108 square feet. A box 4 by 5 by 6 has volume 120 cubic units.

Test 2 rule: Every missed question must become a short label: rate, percent, ratio, average, unit conversion, geometry, money, elapsed time, or multi-step. The label tells you what to repair next.

ASVAB Arithmetic Reasoning Practice Test 2: 208 Questions

Answer each question before opening the explanation. These are original word problems written for study from the official public AR skill description.

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Choose one answer for each question. Explanations and the answer key stay hidden until you submit, so the score reflects a real attempt.

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  1. A warehouse packs 9 cartons with 16 flashlights in each carton. How many flashlights are packed?
    1. 125
    2. 144
    3. 136
    4. 154
    Answer and explanation

    Answer: B. Multiply cartons by flashlights per carton: 9 times 16 = 144.

  2. A trailer carries 420 pounds of supplies in 7 equal bins. How many pounds are in each bin?
    1. 60
    2. 54
    3. 63
    4. 70
    Answer and explanation

    Answer: A. Divide the total by the number of bins: 420 divided by 7 = 60 pounds.

  3. Six identical batteries cost $18. What is the cost of one battery?
    1. $2
    2. $4
    3. $3
    4. $6
    Answer and explanation

    Answer: C. Unit price means cost for one item. $18 divided by 6 = $3.

  4. A vehicle travels 210 miles in 5 hours. What is its average speed?
    1. 38 miles per hour
    2. 45 miles per hour
    3. 52 miles per hour
    4. 42 miles per hour
    Answer and explanation

    Answer: D. Average speed equals distance divided by time: 210 divided by 5 = 42 miles per hour.

  5. A job starts at 8:35 a.m. and ends at 11:10 a.m. How long does it take?
    1. 2 hours 25 minutes
    2. 2 hours 35 minutes
    3. 3 hours 35 minutes
    4. 1 hour 35 minutes
    Answer and explanation

    Answer: B. From 8:35 to 10:35 is 2 hours, then to 11:10 is 35 more minutes.

  6. A jacket priced at $80 is discounted 25 percent. What is the sale price?
    1. $20
    2. $55
    3. $60
    4. $75
    Answer and explanation

    Answer: C. 25 percent is one fourth. One fourth of $80 is $20, so the sale price is $80 - $20 = $60.

  7. A $45 tool has 8 percent sales tax. What is the total cost?
    1. $48.60
    2. $46.80
    3. $52.20
    4. $53.00
    Answer and explanation

    Answer: A. 8 percent of $45 is 0.08 times 45 = $3.60. Add tax: $45 + $3.60 = $48.60.

  8. A score rises from 70 to 84. What is the percent increase?
    1. 14 percent
    2. 16 percent
    3. 24 percent
    4. 20 percent
    Answer and explanation

    Answer: D. The increase is 14. Divide by the original 70: 14 divided by 70 = 0.20 = 20 percent.

  9. The ratio of red tags to blue tags is 3:5. If there are 64 tags total, how many are blue?
    1. 24
    2. 32
    3. 35
    4. 40
    Answer and explanation

    Answer: D. There are 8 ratio parts total. Each part is 64 divided by 8 = 8. Blue is 5 parts, so 5 times 8 = 40.

  10. Four test scores are 78, 84, 91, and 87. What is their average?
    1. 85
    2. 84
    3. 86
    4. 88
    Answer and explanation

    Answer: A. Add the scores: 78 + 84 + 91 + 87 = 340. Divide by 4 to get 85.

  11. A rectangle is 14 feet long and 9 feet wide. What is its perimeter?
    1. 126 feet
    2. 23 feet
    3. 46 feet
    4. 56 feet
    Answer and explanation

    Answer: C. Perimeter of a rectangle is 2 times length plus 2 times width: 28 + 18 = 46 feet.

  12. A rectangular room is 12 feet by 15 feet. What is its area?
    1. 54 square feet
    2. 180 square feet
    3. 150 square feet
    4. 210 square feet
    Answer and explanation

    Answer: B. Area equals length times width: 12 times 15 = 180 square feet.

  13. A box measures 4 feet by 5 feet by 6 feet. What is its volume?
    1. 60 cubic feet
    2. 120 cubic feet
    3. 90 cubic feet
    4. 150 cubic feet
    Answer and explanation

    Answer: B. Volume of a rectangular box is length times width times height: 4 times 5 times 6 = 120.

  14. A recipe uses 3/4 cup of sugar for one batch. How much sugar is needed for 4 batches?
    1. 3 cups
    2. 2 cups
    3. 4 cups
    4. 3/4 cup
    Answer and explanation

    Answer: A. Multiply 3/4 by 4. Four fourths make one whole, so the result is 3 cups.

  15. A board is 7 feet long. How many inches long is it?
    1. 72 inches
    2. 96 inches
    3. 84 inches
    4. 63 inches
    Answer and explanation

    Answer: C. One foot is 12 inches. 7 times 12 = 84 inches.

  16. A package weighs 3 pounds 8 ounces. How many ounces is that?
    1. 48 ounces
    2. 38 ounces
    3. 64 ounces
    4. 56 ounces
    Answer and explanation

    Answer: D. Three pounds is 3 times 16 = 48 ounces. Add 8 ounces to get 56 ounces.

  17. A tank holds 6 gallons. How many quarts does it hold?
    1. 12 quarts
    2. 24 quarts
    3. 18 quarts
    4. 30 quarts
    Answer and explanation

    Answer: B. One gallon is 4 quarts. 6 times 4 = 24 quarts.

  18. A runner travels 2.5 miles each day for 8 days. How many miles does the runner travel?
    1. 18 miles
    2. 22 miles
    3. 20 miles
    4. 24 miles
    Answer and explanation

    Answer: C. Multiply 2.5 miles per day by 8 days: 2.5 times 8 = 20 miles.

  19. A loan of $500 earns simple interest at 6 percent for one year. How much interest is earned?
    1. $30
    2. $20
    3. $60
    4. $56
    Answer and explanation

    Answer: A. Simple interest for one year is principal times rate: $500 times 0.06 = $30.

  20. A machine worth $900 loses 10 percent of its value. What is it worth after the decrease?
    1. $890
    2. $800
    3. $90
    4. $810
    Answer and explanation

    Answer: D. 10 percent of $900 is $90. Subtract the loss: $900 - $90 = $810.

  21. A worker assembles 48 kits in 6 hours. At that rate, how many kits are assembled in 9 hours?
    1. 64
    2. 81
    3. 96
    4. 72
    Answer and explanation

    Answer: D. The rate is 48 divided by 6 = 8 kits per hour. In 9 hours, 8 times 9 = 72 kits.

  22. Three workers split a $255 bonus equally. How much does each worker receive?
    1. $85
    2. $75
    3. $95
    4. $105
    Answer and explanation

    Answer: A. Divide the total bonus by 3: $255 divided by 3 = $85.

  23. A map scale shows 1 inch equals 25 miles. If two towns are 3 inches apart on the map, how far apart are they?
    1. 50 miles
    2. 28 miles
    3. 75 miles
    4. 100 miles
    Answer and explanation

    Answer: C. Multiply 25 miles per inch by 3 inches to get 75 miles.

  24. A bag contains 5 green marbles and 7 yellow marbles. What fraction of the marbles are green?
    1. 7/12
    2. 5/12
    3. 5/7
    4. 12/5
    Answer and explanation

    Answer: B. There are 12 marbles total, and 5 are green. The fraction is 5/12.

  25. A student answers 36 of 40 questions correctly. What percent are correct?
    1. 80 percent
    2. 90 percent
    3. 85 percent
    4. 95 percent
    Answer and explanation

    Answer: B. 36 divided by 40 = 0.90, which is 90 percent.

  26. A store sells 3 shirts for $27. At the same rate, what do 5 shirts cost?
    1. $45
    2. $36
    3. $40
    4. $54
    Answer and explanation

    Answer: A. Each shirt costs $27 divided by 3 = $9. Five shirts cost 5 times $9 = $45.

  27. A car uses 12 gallons of gas to travel 300 miles. How many miles per gallon does it get?
    1. 20
    2. 24
    3. 25
    4. 30
    Answer and explanation

    Answer: C. Miles per gallon equals miles divided by gallons: 300 divided by 12 = 25.

  28. A printer makes 18 pages per minute. How many pages does it make in 7 minutes?
    1. 108
    2. 116
    3. 136
    4. 126
    Answer and explanation

    Answer: D. Multiply pages per minute by minutes: 18 times 7 = 126 pages.

  29. A tank drains 4 gallons per minute. How long will it take to drain 52 gallons?
    1. 11 minutes
    2. 13 minutes
    3. 14 minutes
    4. 16 minutes
    Answer and explanation

    Answer: B. Time equals amount divided by rate: 52 divided by 4 = 13 minutes.

  30. If 40 percent of a class of 30 students are absent, how many students are absent?
    1. 10
    2. 14
    3. 12
    4. 18
    Answer and explanation

    Answer: C. 40 percent of 30 is 0.40 times 30 = 12.

  31. A number is increased by 15 percent from 200. What is the new number?
    1. 230
    2. 215
    3. 225
    4. 235
    Answer and explanation

    Answer: A. 15 percent of 200 is 30. Add the increase: 200 + 30 = 230.

  32. A number is decreased by 30 percent from 90. What is the new number?
    1. 60
    2. 67
    3. 72
    4. 63
    Answer and explanation

    Answer: D. 30 percent of 90 is 27. Subtract: 90 - 27 = 63.

  33. A team has 18 wins and 12 losses. What fraction of its games were wins?
    1. 2/5
    2. 3/2
    3. 5/3
    4. 3/5
    Answer and explanation

    Answer: D. Total games are 30. Wins are 18, so 18/30 simplifies to 3/5.

  34. A floor is 18 feet long and 10 feet wide. Tile costs $3 per square foot. What is the tile cost?
    1. $540
    2. $280
    3. $180
    4. $600
    Answer and explanation

    Answer: A. Area is 18 times 10 = 180 square feet. Cost is 180 times $3 = $540.

  35. A fence encloses a square yard with side length 11 yards. How many yards of fence are needed?
    1. 121 yards
    2. 22 yards
    3. 44 yards
    4. 33 yards
    Answer and explanation

    Answer: C. Perimeter of a square is 4 times side length: 4 times 11 = 44 yards.

  36. A meal costs $36 before a 20 percent tip. What is the tip amount?
    1. $5.40
    2. $7.20
    3. $6.00
    4. $8.80
    Answer and explanation

    Answer: B. 20 percent is one fifth. One fifth of $36 is $7.20.

  37. A meal costs $36 and the tip is $7.20. What is the total paid?
    1. $42.00
    2. $43.20
    3. $40.80
    4. $44.40
    Answer and explanation

    Answer: B. Add meal and tip: $36 + $7.20 = $43.20.

  38. A class average for 5 quizzes is 82. What is the total of the quiz scores?
    1. 410
    2. 400
    3. 420
    4. 87
    Answer and explanation

    Answer: A. Total equals average times count: 82 times 5 = 410.

  39. A student needs an average of 80 over 5 tests, for a total of 400 points. The first four scores total 314. What score is needed on the fifth test?
    1. 80
    2. 84
    3. 86
    4. 90
    Answer and explanation

    Answer: C. Needed total is 5 times 80 = 400. Missing score is 400 - 314 = 86.

  40. Two numbers have a sum of 75. One number is 28. What is the other number?
    1. 37
    2. 53
    3. 103
    4. 47
    Answer and explanation

    Answer: D. Subtract the known number from the sum: 75 - 28 = 47.

  41. A rope 96 inches long is cut into 8 equal pieces. How long is each piece?
    1. 10 inches
    2. 12 inches
    3. 14 inches
    4. 16 inches
    Answer and explanation

    Answer: B. Divide total length by number of pieces: 96 divided by 8 = 12 inches.

  42. A bus travels 45 miles per hour for 2 hours, then 30 miles in the next hour. What is the total distance?
    1. 90 miles
    2. 105 miles
    3. 120 miles
    4. 135 miles
    Answer and explanation

    Answer: C. First part is 45 times 2 = 90 miles. Add 30 miles to get 120 miles.

  43. A store buys radios for $32 each and sells them for $45 each. What is the profit on 6 radios?
    1. $78
    2. $13
    3. $72
    4. $270
    Answer and explanation

    Answer: A. Profit per radio is $45 - $32 = $13. For 6 radios, profit is 6 times $13 = $78.

  44. A worker earns $14 per hour for 38 hours. How much does the worker earn?
    1. $522
    2. $540
    3. $562
    4. $532
    Answer and explanation

    Answer: D. Multiply hourly pay by hours: 14 times 38 = 532 dollars.

  45. A shelf holds 15 manuals. How many shelves are needed for 128 manuals if each shelf can hold at most 15 manuals?
    1. 8 shelves
    2. 10 shelves
    3. 7 shelves
    4. 9 shelves
    Answer and explanation

    Answer: D. 8 shelves hold 120 manuals, leaving 8 more manuals. One more shelf is needed, so 9 shelves are required.

  46. A tank is 3/5 full. If its capacity is 50 gallons, how many gallons are in the tank?
    1. 30 gallons
    2. 20 gallons
    3. 35 gallons
    4. 45 gallons
    Answer and explanation

    Answer: A. Find 3/5 of 50. One fifth is 10, so three fifths is 30 gallons.

  47. A tank has 30 gallons and is 3/5 full. What is the full capacity?
    1. 45 gallons
    2. 60 gallons
    3. 50 gallons
    4. 36 gallons
    Answer and explanation

    Answer: C. If 3/5 equals 30, then 1/5 equals 10. Five fifths equals 50 gallons.

  48. A plane ticket costs $240. The price increases by 12.5 percent. What is the increase?
    1. $24
    2. $30
    3. $28
    4. $36
    Answer and explanation

    Answer: B. 12.5 percent is 1/8. One eighth of $240 is $30.

  49. A number is 45 percent of 200. What is the number?
    1. 45
    2. 90
    3. 80
    4. 110
    Answer and explanation

    Answer: B. 45 percent of 200 is 0.45 times 200 = 90.

  50. A squad has 24 members. If 1/3 are assigned to cleanup, how many are not assigned to cleanup?
    1. 16
    2. 8
    3. 12
    4. 18
    Answer and explanation

    Answer: A. One third of 24 is 8 assigned. Not assigned means 24 - 8 = 16.

  51. A recipe needs 2 cups of rice for 5 servings. How many cups are needed for 20 servings?
    1. 6 cups
    2. 10 cups
    3. 8 cups
    4. 12 cups
    Answer and explanation

    Answer: C. 20 servings is 4 times 5 servings. Rice also multiplies by 4: 2 times 4 = 8 cups.

  52. A scale drawing uses 2 inches for 7 feet. How many feet are represented by 10 inches?
    1. 28 feet
    2. 45 feet
    3. 70 feet
    4. 35 feet
    Answer and explanation

    Answer: D. 10 inches is 5 times 2 inches, so the real length is 5 times 7 = 35 feet.

  53. A shipment has 60 boxes. If 15 percent are damaged, how many boxes are not damaged?
    1. 9
    2. 51
    3. 45
    4. 54
    Answer and explanation

    Answer: B. 15 percent of 60 is 9 damaged boxes. Not damaged is 60 - 9 = 51.

  54. A store sells 48 cans in packs of 6. How many packs are sold?
    1. 6
    2. 10
    3. 8
    4. 12
    Answer and explanation

    Answer: C. Divide total cans by cans per pack: 48 divided by 6 = 8 packs.

  55. A pipe releases 30 gallons in 6 minutes. At the same rate, how many gallons are released in 14 minutes?
    1. 70 gallons
    2. 60 gallons
    3. 75 gallons
    4. 84 gallons
    Answer and explanation

    Answer: A. The rate is 30 divided by 6 = 5 gallons per minute. In 14 minutes, 5 times 14 = 70 gallons.

  56. A worker paints 3 rooms in 5 hours. At the same rate, how many rooms can be painted in 20 hours?
    1. 10 rooms
    2. 15 rooms
    3. 18 rooms
    4. 12 rooms
    Answer and explanation

    Answer: D. 20 hours is 4 times 5 hours, so rooms also multiply by 4: 3 times 4 = 12.

  57. A car rental costs $35 per day plus a $20 fee. What is the cost for 4 days?
    1. $140
    2. $155
    3. $180
    4. $160
    Answer and explanation

    Answer: D. Four days cost 4 times $35 = $140. Add the $20 fee to get $160.

  58. A phone plan costs $28 per month. How much does it cost for one year?
    1. $336
    2. $280
    3. $324
    4. $360
    Answer and explanation

    Answer: A. One year has 12 months. 28 times 12 = 336 dollars.

  59. A truck's tank holds 18 gallons. If gas costs $3 per gallon, what does a full tank cost?
    1. $45
    2. $60
    3. $54
    4. $63
    Answer and explanation

    Answer: C. Cost equals gallons times price per gallon: 18 times $3 = $54.

  60. A box contains 2 dozen screws. How many screws are in 9 boxes?
    1. 108
    2. 216
    3. 180
    4. 240
    Answer and explanation

    Answer: B. Two dozen is 24. Nine boxes contain 9 times 24 = 216 screws.

  61. A worker uses 2.5 gallons of paint for one room. How many gallons are needed for 6 rooms?
    1. 12 gallons
    2. 15 gallons
    3. 18 gallons
    4. 10 gallons
    Answer and explanation

    Answer: B. Multiply 2.5 gallons per room by 6 rooms: 15 gallons.

  62. A board 10 feet long is cut into 4 equal pieces. How long is each piece?
    1. 2.5 feet
    2. 2 feet
    3. 4 feet
    4. 3.5 feet
    Answer and explanation

    Answer: A. Divide 10 feet by 4 pieces: 10 divided by 4 = 2.5 feet.

  63. A worker earns $120 for 8 hours. What is the hourly rate?
    1. $12 per hour
    2. $18 per hour
    3. $15 per hour
    4. $20 per hour
    Answer and explanation

    Answer: C. Divide total earnings by hours: $120 divided by 8 = $15 per hour.

  64. A 15-foot ladder is divided into 5 equal sections. How long is each section in inches?
    1. 30 inches
    2. 45 inches
    3. 60 inches
    4. 36 inches
    Answer and explanation

    Answer: D. 15 feet divided by 5 is 3 feet. Three feet is 36 inches.

  65. A store has 240 items. If 3/8 are sold, how many items are sold?
    1. 80
    2. 90
    3. 100
    4. 120
    Answer and explanation

    Answer: B. One eighth of 240 is 30. Three eighths is 3 times 30 = 90.

  66. A store has 240 items. If 3/8 are sold, how many items remain?
    1. 90
    2. 160
    3. 150
    4. 180
    Answer and explanation

    Answer: C. From the previous setup, 90 are sold. Remaining items are 240 - 90 = 150.

  67. A rectangle has an area of 96 square feet and a width of 8 feet. What is its length?
    1. 12 feet
    2. 10 feet
    3. 14 feet
    4. 16 feet
    Answer and explanation

    Answer: A. Area equals length times width. Length is 96 divided by 8 = 12 feet.

  68. A square has a perimeter of 52 inches. What is the length of one side?
    1. 12 inches
    2. 14 inches
    3. 26 inches
    4. 13 inches
    Answer and explanation

    Answer: D. A square has 4 equal sides. 52 divided by 4 = 13 inches.

  69. A storage unit is 8 feet wide, 10 feet long, and 7 feet high. What is its volume?
    1. 250 cubic feet
    2. 520 cubic feet
    3. 700 cubic feet
    4. 560 cubic feet
    Answer and explanation

    Answer: D. Volume equals length times width times height: 8 times 10 times 7 = 560.

  70. A map route is 4.5 inches long. The scale is 1 inch equals 12 miles. What is the route distance?
    1. 54 miles
    2. 48 miles
    3. 50 miles
    4. 60 miles
    Answer and explanation

    Answer: A. Multiply 4.5 inches by 12 miles per inch: 4.5 times 12 = 54 miles.

  71. A container has 2 gallons and 3 quarts of liquid. How many quarts is that?
    1. 8 quarts
    2. 9 quarts
    3. 11 quarts
    4. 12 quarts
    Answer and explanation

    Answer: C. Two gallons is 8 quarts. Add 3 quarts to get 11 quarts.

  72. A container has 3 quarts of water. How many cups is that if 1 quart equals 4 cups?
    1. 7 cups
    2. 12 cups
    3. 9 cups
    4. 16 cups
    Answer and explanation

    Answer: B. Multiply 3 quarts by 4 cups per quart to get 12 cups.

  73. A 150-mile trip is completed at an average speed of 50 miles per hour. How long does it take?
    1. 2 hours
    2. 3 hours
    3. 4 hours
    4. 5 hours
    Answer and explanation

    Answer: B. Time equals distance divided by speed: 150 divided by 50 = 3 hours.

  74. A driver travels 165 miles in 3 hours. At the same average speed, how far will the driver travel in 5 hours?
    1. 275 miles
    2. 255 miles
    3. 300 miles
    4. 330 miles
    Answer and explanation

    Answer: A. Speed is 165 divided by 3 = 55 miles per hour. In 5 hours, distance is 55 times 5 = 275 miles.

  75. A store marks a $50 item up by 30 percent. What is the new price?
    1. $60
    2. $70
    3. $65
    4. $80
    Answer and explanation

    Answer: C. 30 percent of $50 is $15. Add the markup: $50 + $15 = $65.

  76. A $65 item is reduced by $13. What percent discount is this?
    1. 13 percent
    2. 25 percent
    3. 30 percent
    4. 20 percent
    Answer and explanation

    Answer: D. Percent discount is discount divided by original price: 13 divided by 65 = 0.20 = 20 percent.

  77. At a ratio of 4 boys to 5 girls, a group has 36 students. How many are boys?
    1. 20
    2. 16
    3. 18
    4. 24
    Answer and explanation

    Answer: B. Total ratio parts are 9. Each part is 36 divided by 9 = 4. Boys are 4 parts, so 16.

  78. The ratio of apples to oranges is 2:7. If there are 45 fruits total, how many are oranges?
    1. 10
    2. 28
    3. 35
    4. 40
    Answer and explanation

    Answer: C. Total parts are 9. Each part is 45 divided by 9 = 5. Oranges are 7 parts, so 35.

  79. A batch uses 5 pounds of flour for 12 loaves. How many pounds are needed for 36 loaves?
    1. 15 pounds
    2. 10 pounds
    3. 18 pounds
    4. 20 pounds
    Answer and explanation

    Answer: A. 36 loaves is 3 times 12 loaves. Flour also triples: 5 times 3 = 15 pounds.

  80. Eight identical chairs cost $312. What is the cost per chair?
    1. $38
    2. $42
    3. $48
    4. $39
    Answer and explanation

    Answer: D. Divide total cost by chairs: 312 divided by 8 = 39 dollars.

  81. A customer buys 4 items at $7.50 each and pays with $40. How much change should the customer receive?
    1. $7.50
    2. $12
    3. $15
    4. $10
    Answer and explanation

    Answer: D. Four items cost 4 times $7.50 = $30. Change is $40 - $30 = $10.

  82. A 72-ounce jug is poured equally into 9 bottles. How many ounces go into each bottle?
    1. 8 ounces
    2. 6 ounces
    3. 9 ounces
    4. 12 ounces
    Answer and explanation

    Answer: A. Divide 72 ounces by 9 bottles to get 8 ounces per bottle.

  83. A package is 18 inches long. How many feet is that?
    1. 2 feet
    2. 1.25 feet
    3. 1.5 feet
    4. 3 feet
    Answer and explanation

    Answer: C. One foot is 12 inches. 18 divided by 12 = 1.5 feet.

  84. A route is 3 miles longer than twice another route. If the shorter route is 11 miles, how long is the longer route?
    1. 22 miles
    2. 25 miles
    3. 14 miles
    4. 28 miles
    Answer and explanation

    Answer: B. Twice 11 is 22. Add 3 miles to get 25 miles.

  85. Four more than three times a number is 31. What is the number?
    1. 8
    2. 9
    3. 10
    4. 12
    Answer and explanation

    Answer: B. Subtract 4 from 31 to get 27. Divide by 3 to get 9.

  86. A number divided by 6 is 14. What is the number?
    1. 84
    2. 20
    3. 72
    4. 96
    Answer and explanation

    Answer: A. Reverse the division by multiplying: 14 times 6 = 84.

  87. A worker completes 2/3 of a task in 40 minutes. At the same rate, how long would the full task take?
    1. 50 minutes
    2. 80 minutes
    3. 60 minutes
    4. 90 minutes
    Answer and explanation

    Answer: C. If 2/3 takes 40 minutes, 1/3 takes 20 minutes. The full task, 3/3, takes 60 minutes.

  88. A tank is 1/4 full with 18 gallons. What is the tank's full capacity?
    1. 54 gallons
    2. 64 gallons
    3. 80 gallons
    4. 72 gallons
    Answer and explanation

    Answer: D. If one fourth is 18 gallons, four fourths is 18 times 4 = 72 gallons.

  89. A route has 5 checkpoints equally spaced over 40 miles, including the starting point and ending point. How many miles are between checkpoints?
    1. 8 miles
    2. 10 miles
    3. 5 miles
    4. 12 miles
    Answer and explanation

    Answer: B. Five checkpoints create 4 equal intervals. 40 divided by 4 = 10 miles between checkpoints.

  90. A class has 12 more adults than children. If there are 46 people total, how many are children?
    1. 29
    2. 23
    3. 17
    4. 34
    Answer and explanation

    Answer: C. Let children be C and adults be C + 12. Then 2C + 12 = 46, so 2C = 34 and C = 17.

  91. Two boxes together weigh 86 pounds. The heavier box weighs 14 pounds more than the lighter box. How much does the lighter box weigh?
    1. 36 pounds
    2. 43 pounds
    3. 50 pounds
    4. 72 pounds
    Answer and explanation

    Answer: A. Subtract the difference from the total: 86 - 14 = 72. Split evenly: 72 divided by 2 = 36 pounds.

  92. A worker buys 3 notebooks and 2 pens. Notebooks cost $4 each and pens cost $1.50 each. What is the total cost?
    1. $12
    2. $13.50
    3. $16.50
    4. $15
    Answer and explanation

    Answer: D. Notebooks cost 3 times $4 = $12. Pens cost 2 times $1.50 = $3. Total is $15.

  93. A worker has $60. After buying 5 lunches at $8 each, how much money remains?
    1. $40
    2. $15
    3. $25
    4. $20
    Answer and explanation

    Answer: D. Lunches cost 5 times $8 = $40. Remaining money is $60 - $40 = $20.

  94. A car travels 36 miles on 1.5 gallons of gas. How many miles per gallon is that?
    1. 24
    2. 18
    3. 30
    4. 54
    Answer and explanation

    Answer: A. Miles per gallon equals 36 divided by 1.5. Since 1.5 times 24 = 36, the answer is 24.

  95. A bag of 40 bolts has 6 defective bolts. What percent are defective?
    1. 6 percent
    2. 12 percent
    3. 15 percent
    4. 20 percent
    Answer and explanation

    Answer: C. 6 divided by 40 = 0.15, which is 15 percent.

  96. A score is 75 percent of 64. What is the score?
    1. 42
    2. 48
    3. 50
    4. 56
    Answer and explanation

    Answer: B. 75 percent is 3/4. One fourth of 64 is 16, so three fourths is 48.

  97. A base has 180 vehicles. If 2/9 are trucks, how many vehicles are trucks?
    1. 20
    2. 40
    3. 60
    4. 80
    Answer and explanation

    Answer: B. One ninth of 180 is 20. Two ninths is 40.

  98. A box of 24 markers costs $9.60. What is the cost per marker?
    1. $0.40
    2. $0.24
    3. $0.60
    4. $0.90
    Answer and explanation

    Answer: A. Divide $9.60 by 24. Since 24 times $0.40 = $9.60, each marker costs $0.40.

  99. A worker can load 54 boxes in 9 minutes. How many boxes can the worker load in 1 minute?
    1. 5
    2. 7
    3. 6
    4. 9
    Answer and explanation

    Answer: C. Divide boxes by minutes: 54 divided by 9 = 6 boxes per minute.

  100. A worker can load 6 boxes per minute. How many minutes are needed to load 96 boxes?
    1. 12 minutes
    2. 18 minutes
    3. 20 minutes
    4. 16 minutes
    Answer and explanation

    Answer: D. Time equals boxes divided by rate: 96 divided by 6 = 16 minutes.

  101. A group drives 90 miles, stops, then drives 135 miles more. If the whole trip takes 5 hours, what is the average speed?
    1. 40 miles per hour
    2. 45 miles per hour
    3. 50 miles per hour
    4. 55 miles per hour
    Answer and explanation

    Answer: B. Total distance is 90 + 135 = 225 miles. Average speed is 225 divided by 5 = 45 miles per hour.

  102. A bag contains nickels and dimes worth $1.20. If there are 6 dimes, how many nickels are there?
    1. 6 nickels
    2. 10 nickels
    3. 12 nickels
    4. 14 nickels
    Answer and explanation

    Answer: C. Six dimes are worth $0.60. The remaining $0.60 is 60 cents, which is 12 nickels.

  103. A worker buys 2.25 pounds of nails at $4 per pound. What is the cost?
    1. $9
    2. $8
    3. $10
    4. $9.50
    Answer and explanation

    Answer: A. Multiply 2.25 pounds by $4 per pound: $9.

  104. A yard is 3 feet. How many yards are in 96 feet?
    1. 24 yards
    2. 30 yards
    3. 36 yards
    4. 32 yards
    Answer and explanation

    Answer: D. Divide feet by 3 feet per yard: 96 divided by 3 = 32 yards.

  105. A delivery includes 14 crates weighing 18 pounds each. What is the total weight?
    1. 232 pounds
    2. 242 pounds
    3. 262 pounds
    4. 252 pounds
    Answer and explanation

    Answer: D. Multiply 14 by 18. 10 times 18 is 180, and 4 times 18 is 72, so total is 252.

  106. A storage fee is $18 plus $6 per day. What is the total fee for 7 days?
    1. $60
    2. $42
    3. $54
    4. $66
    Answer and explanation

    Answer: A. Seven days cost 7 times $6 = $42. Add the $18 fee to get $60.

  107. A stack of 500 sheets is divided into packets of 25 sheets. How many packets are made?
    1. 25
    2. 15
    3. 20
    4. 30
    Answer and explanation

    Answer: C. Divide sheets by sheets per packet: 500 divided by 25 = 20 packets.

  108. A student reads 18 pages per day for 9 days. Then the student reads 25 more pages. How many pages are read?
    1. 162
    2. 187
    3. 175
    4. 197
    Answer and explanation

    Answer: B. First read 18 times 9 = 162 pages. Add 25 pages to get 187.

  109. A machine produces 480 parts in 8 hours. At the same rate, how many parts are produced in 3 hours?
    1. 160
    2. 180
    3. 200
    4. 240
    Answer and explanation

    Answer: B. Rate is 480 divided by 8 = 60 parts per hour. In 3 hours, 60 times 3 = 180.

  110. A total of 96 tickets are sold. Adult tickets are 5/8 of the total. How many adult tickets are sold?
    1. 60
    2. 48
    3. 56
    4. 72
    Answer and explanation

    Answer: A. One eighth of 96 is 12. Five eighths is 5 times 12 = 60.

  111. A price drops from $120 to $90. What is the percent decrease?
    1. 30 percent
    2. 20 percent
    3. 25 percent
    4. 33 percent
    Answer and explanation

    Answer: C. The decrease is $30. Divide by the original price: 30 divided by 120 = 0.25 = 25 percent.

  112. A worker spends 1 hour 45 minutes on one task and 50 minutes on another. What is the total time?
    1. 2 hours 25 minutes
    2. 1 hour 95 minutes
    3. 3 hours 5 minutes
    4. 2 hours 35 minutes
    Answer and explanation

    Answer: D. 1 hour 45 minutes plus 50 minutes is 1 hour 95 minutes, which is 2 hours 35 minutes.

  113. A meeting lasts from 1:20 p.m. to 3:05 p.m. How long is the meeting?
    1. 1 hour 35 minutes
    2. 1 hour 45 minutes
    3. 2 hours 15 minutes
    4. 2 hours 45 minutes
    Answer and explanation

    Answer: B. From 1:20 to 2:20 is 1 hour, and from 2:20 to 3:05 is 45 minutes.

  114. A rectangular lot has perimeter 70 feet. Its length is 20 feet. What is its width?
    1. 10 feet
    2. 25 feet
    3. 15 feet
    4. 30 feet
    Answer and explanation

    Answer: C. Perimeter is 2L + 2W. 70 = 40 + 2W, so 2W = 30 and W = 15.

  115. A rectangle has area 135 square feet and length 15 feet. What is its width?
    1. 9 feet
    2. 8 feet
    3. 10 feet
    4. 12 feet
    Answer and explanation

    Answer: A. Width equals area divided by length: 135 divided by 15 = 9 feet.

  116. A box contains 18 red clips and 30 black clips. What is the ratio of red clips to black clips in simplest form?
    1. 5:3
    2. 18:48
    3. 2:3
    4. 3:5
    Answer and explanation

    Answer: D. The ratio 18:30 simplifies by dividing both parts by 6, giving 3:5.

  117. A ratio of 3:5 has a total of 96 items. How many items are in the smaller part?
    1. 60
    2. 48
    3. 24
    4. 36
    Answer and explanation

    Answer: D. Total parts are 8. Each part is 96 divided by 8 = 12. Smaller part is 3 times 12 = 36.

  118. A worker saves $35 each week. How many weeks are needed to save $420?
    1. 12 weeks
    2. 10 weeks
    3. 14 weeks
    4. 15 weeks
    Answer and explanation

    Answer: A. Divide total savings goal by weekly savings: 420 divided by 35 = 12 weeks.

  119. A store has 72 batteries. If 1/6 are used, how many batteries remain?
    1. 12
    2. 54
    3. 60
    4. 66
    Answer and explanation

    Answer: C. One sixth of 72 is 12 used. Remaining batteries are 72 - 12 = 60.

  120. A recipe calls for 1.5 cups of milk. How many cups are needed for 3 recipes?
    1. 3 cups
    2. 4.5 cups
    3. 5 cups
    4. 6 cups
    Answer and explanation

    Answer: B. Multiply 1.5 cups by 3 recipes: 4.5 cups.

  121. A worker earns $16 per hour. Overtime is paid at 1.5 times the regular rate. What is the overtime rate?
    1. $20 per hour
    2. $24 per hour
    3. $22 per hour
    4. $32 per hour
    Answer and explanation

    Answer: B. Overtime rate is 1.5 times $16. Half of 16 is 8, so 16 + 8 = $24.

  122. A worker earns $16 per hour for 40 hours and $24 per hour for 5 overtime hours. What is the total pay?
    1. $760
    2. $640
    3. $720
    4. $800
    Answer and explanation

    Answer: A. Regular pay is 40 times $16 = $640. Overtime pay is 5 times $24 = $120. Total is $760.

  123. A water tank is filled at 12 gallons per minute for 15 minutes. Then 40 gallons are used. How many gallons remain?
    1. 180 gallons
    2. 160 gallons
    3. 140 gallons
    4. 120 gallons
    Answer and explanation

    Answer: C. Filled amount is 12 times 15 = 180 gallons. After 40 gallons are used, 140 remain.

  124. A 240-mile trip is 3/8 complete. How many miles have been traveled?
    1. 80 miles
    2. 120 miles
    3. 150 miles
    4. 90 miles
    Answer and explanation

    Answer: D. One eighth of 240 is 30. Three eighths is 90 miles.

  125. A 240-mile trip has 90 miles completed. How many miles remain?
    1. 90 miles
    2. 150 miles
    3. 130 miles
    4. 160 miles
    Answer and explanation

    Answer: B. Remaining distance is total distance minus completed distance: 240 - 90 = 150 miles.

  126. A family uses 640 gallons of water in 8 days. What is the average use per day?
    1. 64 gallons
    2. 72 gallons
    3. 80 gallons
    4. 88 gallons
    Answer and explanation

    Answer: C. Divide total gallons by days: 640 divided by 8 = 80 gallons per day.

  127. A worker completes 75 percent of 48 forms. How many forms are completed?
    1. 36
    2. 32
    3. 40
    4. 42
    Answer and explanation

    Answer: A. 75 percent is 3/4. One fourth of 48 is 12, so three fourths is 36.

  128. A worker completes 36 of 48 forms. What percent are completed?
    1. 70 percent
    2. 80 percent
    3. 85 percent
    4. 75 percent
    Answer and explanation

    Answer: D. 36 divided by 48 = 3/4, which is 75 percent.

  129. A school bus seats 44 students. How many buses are needed for 181 students?
    1. 4 buses
    2. 6 buses
    3. 7 buses
    4. 5 buses
    Answer and explanation

    Answer: D. Four buses seat 176 students, leaving 5 students. One more bus is needed, so 5 buses are required.

  130. A package delivery route averages 22 minutes per stop. How long will 5 stops take?
    1. 1 hour 50 minutes
    2. 1 hour 40 minutes
    3. 2 hours 10 minutes
    4. 110 hours
    Answer and explanation

    Answer: A. 22 times 5 = 110 minutes. That is 1 hour 50 minutes.

  131. A worker has completed 7/10 of a 300-item order. How many items are completed?
    1. 70
    2. 230
    3. 210
    4. 270
    Answer and explanation

    Answer: C. One tenth of 300 is 30. Seven tenths is 7 times 30 = 210.

  132. A worker has completed 210 of 300 items. What fraction remains?
    1. 7/10
    2. 3/10
    3. 1/3
    4. 2/5
    Answer and explanation

    Answer: B. Remaining items are 300 - 210 = 90. The fraction remaining is 90/300 = 3/10.

  133. A $72 bill is split equally among 6 people. How much does each person pay?
    1. $10
    2. $12
    3. $14
    4. $16
    Answer and explanation

    Answer: B. Divide total bill by people: 72 divided by 6 = 12 dollars.

  134. A $72 bill is split equally among 6 people, and each person adds a $2 tip. How much does each person pay?
    1. $14
    2. $12
    3. $16
    4. $18
    Answer and explanation

    Answer: A. Each share of the bill is $72 divided by 6 = $12. Add $2 tip to get $14.

  135. A store sold 120 items on Monday and 150 on Tuesday. Tuesday sales were what percent of Monday sales?
    1. 80 percent
    2. 120 percent
    3. 125 percent
    4. 150 percent
    Answer and explanation

    Answer: C. Compare Tuesday to Monday: 150 divided by 120 = 1.25, or 125 percent.

  136. A store sold 120 items on Monday and 150 on Tuesday. What was the percent increase from Monday to Tuesday?
    1. 30 percent
    2. 20 percent
    3. 125 percent
    4. 25 percent
    Answer and explanation

    Answer: D. Increase is 30 items. Divide 30 by the original 120 to get 0.25, or 25 percent.

  137. A tank contains 18 liters. This is 45 percent of its capacity. What is the full capacity?
    1. 36 liters
    2. 40 liters
    3. 45 liters
    4. 50 liters
    Answer and explanation

    Answer: B. 45 percent is 0.45. If 0.45 of capacity is 18, capacity is 18 divided by 0.45 = 40 liters.

  138. A box has length 9 inches, width 6 inches, and height 4 inches. What is its volume?
    1. 108 cubic inches
    2. 180 cubic inches
    3. 216 cubic inches
    4. 224 cubic inches
    Answer and explanation

    Answer: C. Volume equals length times width times height: 9 times 6 times 4 = 216 cubic inches.

  139. A worker drives 18 miles north and then 18 miles south on the same road. What is the total distance driven?
    1. 36 miles
    2. 0 miles
    3. 18 miles
    4. 324 miles
    Answer and explanation

    Answer: A. Distance driven adds the path traveled: 18 + 18 = 36 miles. This is different from displacement.

  140. A worker needs 2 screws for each bracket. How many screws are needed for 37 brackets?
    1. 72
    2. 39
    3. 84
    4. 74
    Answer and explanation

    Answer: D. Multiply screws per bracket by brackets: 2 times 37 = 74.

  141. A box of 100 gloves contains left and right gloves in equal numbers. How many pairs can be made?
    1. 100 pairs
    2. 25 pairs
    3. 40 pairs
    4. 50 pairs
    Answer and explanation

    Answer: D. A pair uses two gloves. 100 gloves divided by 2 = 50 pairs.

  142. A worker reads 45 pages in 1 hour 30 minutes. What is the reading rate in pages per hour?
    1. 30 pages per hour
    2. 45 pages per hour
    3. 60 pages per hour
    4. 15 pages per hour
    Answer and explanation

    Answer: A. 1 hour 30 minutes is 1.5 hours. 45 divided by 1.5 = 30 pages per hour.

  143. A worker reads 30 pages per hour. How many minutes are needed to read 15 pages?
    1. 15 minutes
    2. 45 minutes
    3. 30 minutes
    4. 60 minutes
    Answer and explanation

    Answer: C. 15 pages is half of 30 pages, so it takes half an hour, or 30 minutes.

  144. A drill bit costs $2.40. How many can be bought with $18?
    1. 8
    2. 7
    3. 6
    4. 9
    Answer and explanation

    Answer: B. $18 divided by $2.40 is 7.5, but only whole drill bits can be bought, so 7 can be bought.

  145. A worker must buy enough 8-foot boards for a total of 46 feet of lumber. How many boards are needed?
    1. 5 boards
    2. 6 boards
    3. 7 boards
    4. 8 boards
    Answer and explanation

    Answer: B. Five boards provide 40 feet, which is not enough. Six boards provide 48 feet, so 6 boards are needed.

  146. A training group has 32 people. If 5/8 complete a drill on the first attempt, how many complete it later?
    1. 12
    2. 20
    3. 16
    4. 8
    Answer and explanation

    Answer: A. Five eighths of 32 is 20 completing first. Later completions are 32 - 20 = 12.

  147. A store offers buy 2 get 1 free on $9 items. If a customer leaves with 9 items, how much is paid?
    1. $81
    2. $72
    3. $54
    4. $63
    Answer and explanation

    Answer: C. Every 3 items include 2 paid items. For 9 items, pay for 6. 6 times $9 = $54.

  148. A person walks 3/4 mile in 15 minutes. At the same pace, how far does the person walk in 1 hour?
    1. 2 miles
    2. 4 miles
    3. 1.5 miles
    4. 3 miles
    Answer and explanation

    Answer: D. One hour is four 15-minute periods. Four times 3/4 mile is 3 miles.

  149. A person walks 3 miles per hour. How long does it take to walk 7.5 miles?
    1. 2 hours
    2. 2.5 hours
    3. 3 hours
    4. 4.5 hours
    Answer and explanation

    Answer: B. Time equals distance divided by rate: 7.5 divided by 3 = 2.5 hours.

  150. A number is 8 less than twice 31. What is the number?
    1. 46
    2. 62
    3. 54
    4. 70
    Answer and explanation

    Answer: C. Twice 31 is 62. Eight less than 62 is 54.

  151. A worker has 14 small boxes and 9 large boxes. Each small box holds 6 items and each large box holds 10 items. How many items can all boxes hold?
    1. 174
    2. 154
    3. 184
    4. 200
    Answer and explanation

    Answer: A. Small boxes hold 14 times 6 = 84 items. Large boxes hold 9 times 10 = 90 items. Total is 174.

  152. A machine uses 3 kilowatts each hour for 8 hours. At $0.15 per kilowatt-hour, what is the cost?
    1. $2.40
    2. $4.80
    3. $5.20
    4. $3.60
    Answer and explanation

    Answer: D. Energy used is 3 times 8 = 24 kilowatt-hours. Cost is 24 times $0.15 = $3.60.

  153. A worker mixes 2 parts cleaner with 7 parts water. If the mixture totals 45 cups, how many cups of cleaner are used?
    1. 14 cups
    2. 20 cups
    3. 35 cups
    4. 10 cups
    Answer and explanation

    Answer: D. Total parts are 9. Each part is 45 divided by 9 = 5 cups. Cleaner is 2 parts, or 10 cups.

  154. A worker mixes 10 cups of cleaner with 35 cups of water. What is the ratio of cleaner to water in simplest form?
    1. 2:7
    2. 7:2
    3. 10:45
    4. 1:5
    Answer and explanation

    Answer: A. The ratio 10:35 simplifies by dividing both parts by 5, giving 2:7.

  155. A cyclist rides 12 miles in 48 minutes. What is the average speed in miles per hour?
    1. 12 miles per hour
    2. 18 miles per hour
    3. 15 miles per hour
    4. 24 miles per hour
    Answer and explanation

    Answer: C. 48 minutes is 0.8 hour. 12 divided by 0.8 = 15 miles per hour.

  156. A test has 80 questions. A student misses 12. What percent are correct?
    1. 80 percent
    2. 85 percent
    3. 88 percent
    4. 90 percent
    Answer and explanation

    Answer: B. Correct answers are 80 - 12 = 68. 68 divided by 80 = 0.85, or 85 percent.

  157. A price after a 20 percent discount is $64. What was the original price?
    1. $76.80
    2. $80
    3. $84
    4. $96
    Answer and explanation

    Answer: B. After a 20 percent discount, the sale price is 80 percent of the original. $64 divided by 0.80 = $80.

  158. A worker pays $18 for 3 pounds of coffee. At the same rate, how much does 5 pounds cost?
    1. $30
    2. $25
    3. $28
    4. $36
    Answer and explanation

    Answer: A. Unit price is $18 divided by 3 = $6 per pound. Five pounds cost 5 times $6 = $30.

  159. A warehouse receives 25 crates each day for 12 days, then ships out 80 crates. How many crates remain from that shipment?
    1. 300
    2. 200
    3. 220
    4. 240
    Answer and explanation

    Answer: C. Received crates are 25 times 12 = 300. After 80 are shipped out, 220 remain.

  160. A worker cuts a 6-foot pipe into pieces that are 9 inches long. How many full pieces can be cut?
    1. 6
    2. 7
    3. 9
    4. 8
    Answer and explanation

    Answer: D. Six feet is 72 inches. 72 divided by 9 = 8 full pieces.

  161. A tank holds 96 liters when full. If 25 percent is used, how many liters remain?
    1. 24 liters
    2. 72 liters
    3. 68 liters
    4. 76 liters
    Answer and explanation

    Answer: B. 25 percent of 96 is 24 liters used. Remaining amount is 96 - 24 = 72 liters.

  162. A truck can carry 1,200 pounds. Each crate weighs 75 pounds. What is the maximum number of crates it can carry?
    1. 15 crates
    2. 18 crates
    3. 16 crates
    4. 20 crates
    Answer and explanation

    Answer: C. Divide capacity by crate weight: 1,200 divided by 75 = 16 crates.

  163. A store's monthly rent is $1,800. If three departments share it equally, how much does each department pay?
    1. $600
    2. $500
    3. $700
    4. $900
    Answer and explanation

    Answer: A. Divide $1,800 by 3 departments to get $600 each.

  164. A delivery driver averages 52 miles per hour for 2.5 hours. How far does the driver travel?
    1. 104 miles
    2. 125 miles
    3. 150 miles
    4. 130 miles
    Answer and explanation

    Answer: D. Distance equals rate times time: 52 times 2.5 = 130 miles.

  165. A worker installs 18 panels in 3 hours. Another worker installs 24 panels in 4 hours. Which statement is correct?
    1. The first worker is faster
    2. The second worker is faster
    3. Neither worker's rate can be found
    4. They install panels at the same rate
    Answer and explanation

    Answer: D. First rate is 18 divided by 3 = 6 panels per hour. Second rate is 24 divided by 4 = 6 panels per hour.

  166. A store buys an item for $40 and sells it for $52. What is the profit as a percent of the cost?
    1. 30 percent
    2. 12 percent
    3. 23 percent
    4. 40 percent
    Answer and explanation

    Answer: A. Profit is $12. Percent of cost is 12 divided by 40 = 0.30, or 30 percent.

  167. A class has 28 students. If 3/7 are on one team, how many students are on that team?
    1. 7
    2. 14
    3. 12
    4. 16
    Answer and explanation

    Answer: C. One seventh of 28 is 4. Three sevenths is 12.

  168. A 9-pound bag of rice costs $13.50. What is the cost per pound?
    1. $1.25
    2. $1.50
    3. $1.75
    4. $2.00
    Answer and explanation

    Answer: B. Divide $13.50 by 9 pounds to get $1.50 per pound.

  169. A worker needs 5 minutes to inspect each package. How many packages can be inspected in 2 hours?
    1. 20 packages
    2. 24 packages
    3. 30 packages
    4. 40 packages
    Answer and explanation

    Answer: B. Two hours is 120 minutes. 120 divided by 5 = 24 packages.

  170. A recipe uses 1/2 cup oil and 2 cups flour. What is the ratio of oil to flour?
    1. 1:4
    2. 1:2
    3. 2:1
    4. 4:1
    Answer and explanation

    Answer: A. The ratio 1/2 to 2 can be multiplied by 2 to become 1 to 4.

  171. A package costs $18 plus $0.50 per mile to deliver. What is the cost for 24 miles?
    1. $24
    2. $36
    3. $30
    4. $42
    Answer and explanation

    Answer: C. Mileage charge is 24 times $0.50 = $12. Add $18 to get $30.

  172. A worker has a 15 percent raise on a $20 hourly wage. What is the new hourly wage?
    1. $22
    2. $24
    3. $25
    4. $23
    Answer and explanation

    Answer: D. 15 percent of $20 is $3. Add the raise to get $23 per hour.

  173. A box is 1/5 full with 14 folders. How many folders fit when the box is full?
    1. 56
    2. 70
    3. 64
    4. 84
    Answer and explanation

    Answer: B. If one fifth is 14 folders, five fifths is 14 times 5 = 70 folders.

  174. A line of 36 people is divided into groups of 4. How many groups are formed?
    1. 8
    2. 10
    3. 9
    4. 12
    Answer and explanation

    Answer: C. Divide 36 people by 4 people per group to get 9 groups.

  175. A worker travels 14 miles to a site and 14 miles back each day. How many miles are traveled in 5 days?
    1. 140 miles
    2. 70 miles
    3. 100 miles
    4. 154 miles
    Answer and explanation

    Answer: A. Daily round trip is 14 + 14 = 28 miles. In 5 days, 28 times 5 = 140 miles.

  176. A worker has $125 and spends 40 percent of it. How much money is left?
    1. $50
    2. $85
    3. $100
    4. $75
    Answer and explanation

    Answer: D. 40 percent of $125 is $50 spent. Remaining money is $125 - $50 = $75.

  177. A 6-question quiz has equal point values and is worth 42 points. How many points is each question worth?
    1. 6 points
    2. 8 points
    3. 9 points
    4. 7 points
    Answer and explanation

    Answer: D. Divide total points by questions: 42 divided by 6 = 7 points.

  178. A worker packs 11 boxes per hour. How many boxes are packed in 6.5 hours?
    1. 71.5 boxes
    2. 66 boxes
    3. 77 boxes
    4. 82.5 boxes
    Answer and explanation

    Answer: A. Multiply rate by time: 11 times 6.5 = 71.5. In real packing, that means 71 full boxes and part of the next if partial work is allowed.

  179. A worker must pack only full boxes at 11 boxes per hour. After 6.5 hours, what is the greatest whole number of boxes packed?
    1. 72 boxes
    2. 70 boxes
    3. 71 boxes
    4. 73 boxes
    Answer and explanation

    Answer: C. The exact amount is 71.5 boxes, but only full boxes count, so the greatest whole number is 71.

  180. A school orders 135 pencils. Each pack has 12 pencils. What is the fewest number of packs needed?
    1. 11 packs
    2. 12 packs
    3. 13 packs
    4. 10 packs
    Answer and explanation

    Answer: B. Eleven packs provide 132 pencils, not enough. Twelve packs provide 144 pencils, so 12 packs are needed.

  181. A customer pays $84 for 7 identical filters. How much would 10 filters cost at the same price each?
    1. $110
    2. $120
    3. $118
    4. $140
    Answer and explanation

    Answer: B. Each filter costs $84 divided by 7 = $12. Ten filters cost 10 times $12 = $120.

  182. A carton has 4 rows of 6 cans. How many cans are in 9 cartons?
    1. 216
    2. 180
    3. 204
    4. 240
    Answer and explanation

    Answer: A. One carton has 4 times 6 = 24 cans. Nine cartons have 9 times 24 = 216 cans.

  183. A worker fills 2/5 of a bin with 28 pounds of material. What is the bin's full capacity?
    1. 56 pounds
    2. 80 pounds
    3. 70 pounds
    4. 68 pounds
    Answer and explanation

    Answer: C. If 2/5 is 28, then 1/5 is 14. Five fifths is 70 pounds.

  184. A group spends $96 on supplies and $24 on snacks. If 6 people split the total equally, how much does each person pay?
    1. $16
    2. $18
    3. $24
    4. $20
    Answer and explanation

    Answer: D. Total cost is $96 + $24 = $120. Divide by 6 people to get $20 each.

  185. A worker measures 2 yards 2 feet of rope. How many feet is this?
    1. 6 feet
    2. 8 feet
    3. 7 feet
    4. 10 feet
    Answer and explanation

    Answer: B. Two yards is 6 feet. Add 2 feet to get 8 feet.

  186. A contractor needs 180 square feet of carpet. Carpet comes in rolls covering 25 square feet each. What is the fewest number of rolls needed?
    1. 7 rolls
    2. 9 rolls
    3. 8 rolls
    4. 6 rolls
    Answer and explanation

    Answer: C. Seven rolls cover 175 square feet, not enough. Eight rolls cover 200 square feet, so 8 are needed.

  187. A worker earns $600 in 5 days. If pay is the same each day, how much is earned in 9 days?
    1. $1,080
    2. $900
    3. $1,000
    4. $1,200
    Answer and explanation

    Answer: A. Daily pay is $600 divided by 5 = $120. For 9 days, 9 times $120 = $1,080.

  188. A score of 54 is 90 percent of what number?
    1. 48.6
    2. 64
    3. 72
    4. 60
    Answer and explanation

    Answer: D. If 90 percent of a number is 54, divide 54 by 0.90 to get 60.

  189. A student wants an average of 88 on 4 tests. The first 3 scores are 84, 90, and 86. What fourth score is needed?
    1. 88
    2. 90
    3. 94
    4. 92
    Answer and explanation

    Answer: D. Needed total is 4 times 88 = 352. First three scores total 260. Needed score is 352 - 260 = 92.

  190. A container holds 5 liters. How many milliliters does it hold?
    1. 5,000 milliliters
    2. 500 milliliters
    3. 50 milliliters
    4. 10,000 milliliters
    Answer and explanation

    Answer: A. One liter equals 1,000 milliliters. 5 liters equals 5,000 milliliters.

  191. A worker sorts 360 files into 12 drawers equally. How many files go in each drawer?
    1. 24 files
    2. 36 files
    3. 30 files
    4. 42 files
    Answer and explanation

    Answer: C. Divide 360 files by 12 drawers to get 30 files per drawer.

  192. A base has 75 rooms. If 60 percent are occupied, how many rooms are empty?
    1. 45 rooms
    2. 30 rooms
    3. 25 rooms
    4. 35 rooms
    Answer and explanation

    Answer: B. 60 percent occupied means 40 percent empty. 40 percent of 75 is 30 rooms.

  193. A rope costs $0.75 per foot. What is the cost of 28 feet?
    1. $18
    2. $21
    3. $24
    4. $28.75
    Answer and explanation

    Answer: B. $0.75 is 3/4 of a dollar. Three fourths of 28 is 21, so the cost is $21.

  194. A box has 5 layers with 18 items in each layer. If 17 items are removed, how many remain?
    1. 73
    2. 90
    3. 83
    4. 63
    Answer and explanation

    Answer: A. The box starts with 5 times 18 = 90 items. After removing 17, 73 remain.

  195. A club has 42 members. The ratio of officers to nonofficers is 1:6. How many officers are there?
    1. 7
    2. 12
    3. 6
    4. 36
    Answer and explanation

    Answer: C. Total ratio parts are 7. Each part is 42 divided by 7 = 6. Officers are 1 part, so 6.

  196. A shipment of 84 parts has a defect rate of 12.5 percent. How many parts are defective?
    1. 12 parts
    2. 8.4 parts
    3. 14 parts
    4. 10.5 parts
    Answer and explanation

    Answer: D. 12.5 percent is 1/8. One eighth of 84 is 10.5. In a real count, this would indicate an average or expected number.

  197. If only whole defective parts can be counted and the expected defect count is 10.5, which whole number is closest?
    1. 10
    2. 11
    3. 12
    4. 9
    Answer and explanation

    Answer: B. The nearest whole number to 10.5 is commonly rounded to 11.

  198. A worker travels 7 miles east, 4 miles west, then 6 miles east. What is the total distance traveled?
    1. 9 miles
    2. 13 miles
    3. 17 miles
    4. 11 miles
    Answer and explanation

    Answer: C. Total distance adds every segment: 7 + 4 + 6 = 17 miles.

  199. A worker travels 7 miles east, 4 miles west, then 6 miles east. How far east of the start is the worker?
    1. 9 miles east
    2. 17 miles east
    3. 3 miles east
    4. 13 miles east
    Answer and explanation

    Answer: A. East movement totals 13 miles and west movement is 4 miles. Net position is 13 - 4 = 9 miles east.

  200. A rectangular sign is 4 feet by 3 feet. Paint covers 6 square feet per can. How many cans are needed for one coat?
    1. 1 can
    2. 3 cans
    3. 4 cans
    4. 2 cans
    Answer and explanation

    Answer: D. Area is 4 times 3 = 12 square feet. Each can covers 6 square feet, so 12 divided by 6 = 2 cans.

  201. A rectangular sign is painted with two coats. If one coat needs 2 cans, how many cans are needed?
    1. 2 cans
    2. 6 cans
    3. 8 cans
    4. 4 cans
    Answer and explanation

    Answer: D. Two coats require twice as much paint as one coat: 2 times 2 = 4 cans.

  202. A box contains 15 percent blue parts. If there are 18 blue parts, how many parts are in the box?
    1. 120
    2. 100
    3. 108
    4. 150
    Answer and explanation

    Answer: A. If 15 percent of the total is 18, divide 18 by 0.15 to get 120 total parts.

  203. A worker buys 3 tools at $18 each and one case at $27. What is the total cost?
    1. $54
    2. $72
    3. $81
    4. $90
    Answer and explanation

    Answer: C. Three tools cost 3 times $18 = $54. Add the $27 case to get $81.

  204. A group has 64 people. If 25 percent leave, then 8 more arrive, how many people are there?
    1. 48
    2. 56
    3. 60
    4. 72
    Answer and explanation

    Answer: B. 25 percent of 64 is 16 leaving. 64 - 16 = 48, then 8 arrive, giving 56.

  205. A worker has 90 minutes to complete 6 equal tasks. How many minutes are available per task?
    1. 12 minutes
    2. 15 minutes
    3. 18 minutes
    4. 20 minutes
    Answer and explanation

    Answer: B. Divide total time by tasks: 90 divided by 6 = 15 minutes per task.

  206. A runner's times are 8, 9, 7, and 8 minutes for four laps. What is the average time per lap?
    1. 8 minutes
    2. 7 minutes
    3. 8.5 minutes
    4. 9 minutes
    Answer and explanation

    Answer: A. Total time is 8 + 9 + 7 + 8 = 32 minutes. Divide by 4 laps to get 8 minutes.

  207. A store gives a 10 percent discount on a $90 item and then adds $5 shipping. What is the final cost?
    1. $81
    2. $95
    3. $86
    4. $84
    Answer and explanation

    Answer: C. 10 percent of $90 is $9, so discounted price is $81. Add $5 shipping to get $86.

  208. A worker drinks 2 cups of water every hour for 6 hours. How many quarts is that?
    1. 6 quarts
    2. 2 quarts
    3. 4 quarts
    4. 3 quarts
    Answer and explanation

    Answer: D. Total water is 2 times 6 = 12 cups. Since 4 cups equals 1 quart, 12 cups equals 3 quarts.

What Your Test 2 Score Means

This page gives a practice count, not an official ASVAB score. Official ASVAB score guidance explains that subtest scores are standard scores, not raw percentages. Official AFQT guidance also explains that AFQT is computed from official standard scores for Arithmetic Reasoning, Mathematics Knowledge, Paragraph Comprehension, and Word Knowledge. Your raw result here is a study diagnostic. It tells you which word-problem types need repair before you take or retake an official test.

Practice score out of 208MeaningNext step
177-208Strong AR practice readinessMove into timed 15-question CAT-style sets and 30-question paper-style sets.
146-176Good foundation with a few pattern gapsSort misses by rate, percent, ratio, average, or unit conversion and retake only those.
104-145Basic setup is forming but inconsistentReturn to the method section and write a one-line setup before calculating every problem.
Below 104Start with core arithmetic translationUse Test 1 and Test 2 in 20-question untimed blocks before adding a timer.

Official Sources Used

The Arithmetic Reasoning scope, Math-domain placement, CAT-ASVAB timing, paper-and-pencil timing, AFQT relationship, standard-score warning, controlled-test-material warning, and calculator context in this page were checked against official ASVAB sources. The 208 practice questions are original NUM8ERS study questions.

Official ASVAB: Arithmetic Reasoning sample page Official ASVAB: Sample Questions Official ASVAB: Subtests Official ASVAB: CAT-ASVAB Official ASVAB: What to Expect Official ASVAB: Understanding ASVAB Scores Official ASVAB FAQs Official ASVAB: Use of Calculators PDF Official ASVAB Fact Sheet PDF

ASVAB Arithmetic Reasoning Practice Test 2 FAQs

Is this different from the first Arithmetic Reasoning practice test?

Yes. This is a second original mixed set for students who need more AR word-problem practice after Test 1. It links to Test 1 instead of replacing it.

Are these real ASVAB Arithmetic Reasoning questions?

No. These are original practice questions written from the official public AR skill description. They are not copied from official ASVAB test forms or sample questions.

What does Arithmetic Reasoning test?

Official ASVAB materials describe Arithmetic Reasoning as the ability to solve arithmetic word problems. Official subtest pages place AR in the Math domain.

Does Arithmetic Reasoning count toward AFQT?

Yes. Official score guidance lists Arithmetic Reasoning as one of the four subtests used to compute AFQT, along with Mathematics Knowledge, Paragraph Comprehension, and Word Knowledge.

Can I use a calculator on ASVAB Arithmetic Reasoning?

Official ASVAB calculator materials explain that math items are written so examinees do not need calculators, and official FAQs emphasize hand-calculation ability. Practice this page without a calculator unless an official accommodation says otherwise.

What To Study After Arithmetic Reasoning Test 2

This second AR set is a confirmation tool. If the same error pattern appears here and on the first set, pause timed practice and repair that specific skill.

Read the ASVAB Score Guide when you need to separate practice results from official standard scores.