GMAT Quantitative Reasoning: Arithmetic

Integers, fractions, percents, ratios, rates, and powers of numbers.

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  1. 1.A wreath listed at $80 is sold at 85% of the list price. What is the selling price?

  2. 2.A ticket booth has 76 paper tickets and bundles them in stacks of 9. How many tickets are left over?

  3. 3.A kitchen uses 2/5 of a liter of oil for frying and 1/5 of a liter for a dressing. How many liters of oil are used in all?

  4. 4.In a community garden, tulips and daisies are planted in the ratio 3:5. There are 24 tulips. How many daisies are there?

  5. 5.A bus burns fuel at 6 gallons per hour for 7 hours. How many gallons are used?

  6. 6.A kiln finishes a firing every 14 minutes, and a drying rack is emptied every 21 minutes. They finish together at the start of a shift. After how many minutes do they next finish together?

  7. 7.Two garden hoses are 56 inches and 84 inches long. They are cut into the longest equal pieces that use each hose completely. How many inches long is each piece?

  8. 8.A clerk numbers tickets from 21 through 30. How many of those ticket numbers are odd?

  9. 9.Of the invoice numbers below, which one is prime?

  10. 10.List every positive factor of 48, from 1 through 48. How many factors are on that list?

  11. 11.Each chair in a workshop is fastened with 9 bolts. How many bolts are needed for 8 chairs?

  12. 12.In a box of 80 garden markers, 15% are cracked. How many markers are cracked?

  13. 13.A fabric shop charges $4.50 per yard for trim. What is the cost of 2.4 yards?

  14. 14.A walking trail is 2.5 kilometers long. How many meters long is the trail?

  15. 15.A freezer reads -7 degrees and a cooler reads 3 degrees. What is the sum of the absolute values of those two readings?

  16. 16.Find the value of 6^3.

  17. 17.A stack of 144 cards is split so the number of piles equals the number of cards in each pile. How many cards are in each pile?

  18. 18.A baker has 60 eggs and uses 2/5 of them for cakes. How many eggs are used?

  19. 19.A bookkeeper accepts a count only when it is divisible by 9. Which of these counts can be accepted?

  20. 20.When 100 is divided by 7, what is the remainder?

  21. 21.A paint shop mixes red and white in the ratio 2:3. How many liters are red in 40 liters of the mix?

  22. 22.A garden pump moves 15 liters of water every 2 minutes. How many liters does it move in 10 minutes?

  23. 23.A theater holds 240 seats, and 35% of them are sold for a matinee. How many seats are sold?

  24. 24.A cook has 11/12 pound of butter and uses 1/3 pound for a sauce. How much butter is left, in pounds?

  25. 25.A customer hands a shop clerk $20.00 for a purchase of $13.45. How much change is due?

  26. 26.A kitchen batch is counted by 3^4 portions. How many portions is that?

  27. 27.What is the greatest common factor of 18 and 24?

  28. 28.Hot-dog buns come in packs of 8 and sausages in packs of 12. What is the smallest positive number that is a multiple of both pack sizes?

  29. 29.A jacket priced at $90 is marked down by 20%. What is the sale price?

  30. 30.A recipe uses 3/4 of a 2/5-cup scoop of salt. How many cups of salt is that?

  31. 31.The first three positive even integers are multiplied. What is the product?

  32. 32.58 band uniforms are packed into crates that hold 6 uniforms each. How many uniforms do not fill a crate?

  33. 33.On a bus, the ratio of boys to girls is 4:7. There are 28 girls. How many boys are there?

  34. 34.A cyclist rides 45 miles in 3 hours at a steady speed. At that speed, how many miles does the cyclist ride in 5 hours?

  35. 35.On a workshop gauge, one mark is at 4 and another is at 9. What is |4 - 9|?

  36. 36.A kitchen timer is set for 3.5 minutes. How many seconds is that?

  37. 37.A power test computes 5^3 - 5^2. What is that result?

  38. 38.What is the sum of the prime numbers between 10 and 20?

  39. 39.20 students stand in equal rows with nobody left over. Counting a single row of all 20 and rows of 1, how many different row sizes are possible?

  40. 40.A diner bill is $48, and the tip is 15% of the bill. How many dollars is the tip?

  41. 41.A bottle holds 5/6 cup of vinegar, and 1/3 cup is poured out. How many cups remain?

  42. 42.A pastry uses 0.6 * 0.25 ounce of saffron. How many ounces of saffron is that?

  43. 43.Bolts are packed in rows of 4 and also in rows of 6, with none left over either way. Which of these bolt counts allows both packings?

  44. 44.87 postage stamps are sorted into envelopes of 5. How many stamps are left over?

  45. 45.A snack shop mixes nuts and raisins in the ratio 5:2. If the mix has 14 ounces of raisins, how many ounces of nuts does it have?

  46. 46.A workshop printer produces 40 pages in 5 minutes. At that rate, how many pages does it produce in 8 minutes?

  47. 47.A kitchen bottle holds 1.75 liters. How many milliliters is that?

  48. 48.Penalties of 8 and 3 are both counted as positive amounts, and the smaller is subtracted from the larger. What is |-8| - |-3|?

  49. 49.Which positive integer cubed equals 64?

  50. 50.A lamp's price falls from $150 to $120. The drop is what percent of the original price?

  51. 51.Two garden paths are 36 feet and 60 feet long. Markers are placed with the greatest equal spacing that fits exactly on both paths. How many feet apart are the markers?

  52. 52.One bus route runs every 15 minutes and another runs every 20 minutes. The buses leave together at 8:00 a.m. After how many minutes do they next leave together?

  53. 53.A cafe has 4 liters of cider and pours it into glasses of 1/5 liter. How many glasses are filled?

  54. 54.What is the ones digit of 7^3?

  55. 55.A 6.4-meter garden rope is shared equally by 4 plots. How many meters of rope does each plot get?

  56. 56.A shop adds 6% sales tax to a $45 item. What is the tax in dollars?

  57. 57.What is 17/5 written as a mixed number?

  58. 58.A bus travels at 50 miles per hour. How many hours does it take to travel 175 miles?

  59. 59.Two dial readings, -2 and -6, are multiplied after each is replaced by its distance from zero. What is |-2| * |-6|?

  60. 60.Between which two consecutive integers does the square root of 50 lie?

  61. 61.A bus ticket priced at $60 is increased by 10%, and then that new price is decreased by 10%. What is the final price?

  62. 62.A soup recipe calls for 2/3 cup of milk. A cook makes half of the recipe. How many cups of milk are needed?

  63. 63.What is the smallest positive two-digit multiple of 7?

  64. 64.A workshop packs 150 bolts into bags of 12. How many bolts remain?

  65. 65.Apples and pears in a shop bin are in the ratio 3:4. If there are 28 pieces of fruit in all, how many are apples?

  66. 66.A roll of trim measures 4 feet 6 inches. How many inches long is the roll?

  67. 67.What is 10^3 divided by 10^1?

  68. 68.Both a stack of 32 boxes and a stack of 48 boxes are split into identical groups with none left over. What is the greatest possible number of boxes in each group?

  69. 69.A cafe tab lists $6.50, $4.25, and $3.25. What is the total?

  70. 70.In a stack of 120 bus tickets, 36 are weekend passes. What percent of the tickets are weekend passes?

  71. 71.A cook adds 1/4 cup of milk and then 1/6 cup more. How many cups of milk is that altogether?

  72. 72.A hose fills a 90-gallon garden tank in 15 minutes. How many gallons per minute is that?

  73. 73.Which of these is the prime factorization of 84?

  74. 74.A price increase of 6 and a price decrease of 6 are measured by size alone. What is |6| + |-6|?

  75. 75.What is (-2)^3?

  76. 76.In a garden show, the spray cycle is 8 minutes and the light cycle is 14 minutes. Both cycles begin at minute 0. At which later minute do both cycles begin together again for the first time?

  77. 77.A garden bed had 25 bean plants and now has 40. By what percent did the number of bean plants increase?

  78. 78.A jug contains 5/8 gallon of juice, and each glass holds 1/8 gallon. How many full glasses can be poured?

  79. 79.200 seed packets are boxed with 12 packets in each box. How many packets are left over?

  80. 80.Adult tickets and child tickets are sold in the ratio 5:2. If 15 adult tickets are sold, how many child tickets are sold?

  81. 81.A workshop shift lasts 2 hours and 15 minutes. How many minutes is that shift?

  82. 82.A 4.8-meter ribbon is cut into pieces that are each 0.6 meter long. How many pieces result?

  83. 83.The sum of any two odd integers is always which of these?

  84. 84.What is the sum of all positive factors of 18?

  85. 85.A train travels at 80 kilometers per hour for 2.5 hours. How many kilometers does it travel?

  86. 86.A coat costs $150, and a coupon takes $30 off. What percent off is the coupon?

  87. 87.A glaze uses 2/3 cup of honey and 3/4 cup of syrup. How many cups is that combined?

  88. 88.Raising 7 to the third power gives which number?

  89. 89.A tank level falls 15 units and then rises 4 units. What is the absolute value of the net change, |-15 + 4|?

  90. 90.A cafe packs cookies into boxes of 3 with none left over. Which of these cookie counts works?

  91. 91.64 cookies are packed 9 to a tin. How many cookies are left unpacked?

  92. 92.Three friends share a $200 prize in the ratio 2:3:5. How many dollars does the friend with the largest share receive?

  93. 93.A shop scale shows 2.75 pounds of rice. Using 16 ounces in one pound, how many ounces is that?

  94. 94.A shop donation is 7.5% of a $200 sale. How many dollars is the donation?

  95. 95.196 is the product of a positive integer with itself. What is that integer?

  96. 96.Spools of wire measure 16 yards, 24 yards, and 40 yards. What is the greatest common factor of those three lengths?

  97. 97.A stew needs 5/6 cup of stock, and 1/2 cup is already in the pot. How many more cups of stock are needed?

  98. 98.A clerk added 3 seats to a row that had 20 seats. The added seats are what percent of the original row?

  99. 99.What is the product of the smallest three prime numbers?

  100. 100.A baker decorates 12 cakes in 4 hours. At that rate, how many cakes can be decorated in 7 hours?

  101. 101.A copier count equals 2^3 * 2^2 sheets. How many sheets is that?

  102. 102.Two shelf gaps compare 9 with 14 and 2 with 5. What is |9 - 14| - |2 - 5|?

  103. 103.Alarms sound every 4 minutes, every 6 minutes, and every 8 minutes. If they sound together now, after how many minutes do all three sound together again?

  104. 104.Three shelf pins of equal length are cut from a dowel that is 9/2 feet long. How many feet long is each pin?

  105. 105.What is the remainder when 5^3 is divided by 9?

  106. 106.A bakery colors frosting with 2 parts cocoa and 5 parts sugar. How many cups of sugar go with 8 cups of cocoa?

  107. 107.A shop buys a lamp for $48 and sells it for $60. The markup is what percent of the cost?

  108. 108.What is 3/8 written as a decimal?