FreeExam

GRE Quantitative Reasoning: Arithmetic

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

GRE is a registered trademark of Educational Testing Service. FreeExam is not affiliated with Educational Testing Service, and these questions are original practice, not an official test.

  1. 1.A market stand prices a basket of berries at $24 and then reduces that price by 25%. What is the reduced price?

  2. 2.A workshop has 53 screws and packs them into boxes that each hold 8 screws. How many screws are left unpacked?

  3. 3.A cook uses 3/4 cup of rice for soup and 1/2 cup of rice for pilaf. How many cups of rice are used altogether?

  4. 4.A market crate holds 45 oranges, and 2/5 of them are set aside. Quantity A is the number of oranges set aside. Quantity B is 18.

  5. 5.In a garden, the ratio of tomato plants to pepper plants is 5 to 2. There are 15 tomato plants. How many pepper plants are there?

  6. 6.Two buses leave a depot together at noon. After that, one departs every 12 minutes and the other departs every 18 minutes. After how many minutes do they next depart together?

  7. 7.A concert ticket rose from $40 to $50. What is the percent increase?

  8. 8.A ticket window has 80 seats, and 15% of them are held for the stage crew. Quantity A is the number of seats held. Quantity B is 12.

  9. 9.A market packed apples in four batches. Which of these batch counts is even?

  10. 10.A gardener wants the largest bundle size that divides both a stack of 28 seed packets and a stack of 42 seed packets with none left over. How many packets are in that bundle?

  11. 11.A baker starts with 2.5 pounds of flour and uses 1.75 pounds for rolls. How many pounds of flour remain?

  12. 12.A workshop divides 48 nails into 6 equal packs. Quantity A is the number of nails in one pack. Quantity B is 9.

  13. 13.A ticket printer starts with 1 ticket and doubles the stack 6 times. The final count is 2^6. What is that count?

  14. 14.A garden bed is 3.5 feet long. How many inches long is that bed?

  15. 15.A garden club numbers four plots. Which of these plot numbers is prime?

  16. 16.A garden row holds n tomato plants, where n is a positive integer. Quantity A is the remainder when n is divided by 4. Quantity B is 2.

  17. 17.A bus has 48 seats, and 5/6 of the seats are filled. How many seats are filled?

  18. 18.On a number line, a market cart sits at -17 and a sign sits at 4. What is the sum of the absolute values of those two positions?

  19. 19.A baker finishes 12 cupcakes in 8 minutes and keeps that same rate. How many cupcakes are finished in 20 minutes?

  20. 20.In a packing room, one shipment holds 36 jars and another holds 48 jars. Quantity A is the greatest common factor of 36 and 48. Quantity B is 12.

  21. 21.A garden has 60 seedlings, and 35% of them are herbs. How many seedlings are herbs?

  22. 22.Which of these ticket totals is divisible by 9?

  23. 23.A kitchen bottle holds 7/8 gallon of oil, and 1/2 gallon is poured into a pan. How much oil, in gallons, remains in the bottle?

  24. 24.A bus ticket costs t dollars, where t is positive and less than 20. Quantity A is t plus 5. Quantity B is 18.

  25. 25.A clerk estimates a market bill for 19.4 pounds at 4.8 dollars per pound by rounding 19.4 to 20 and 4.8 to 5. What estimate, in dollars, does that rounding give?

  26. 26.On a number line, a bus stop is at -6 and a market stall is at 4. Which number is halfway between them?

  27. 27.A ticket roll is stamped with the perfect square 81. What is the square root of 81?

  28. 28.A label printer compares two codes. Quantity A is 2^5. Quantity B is 6^2.

  29. 29.A bus seats riders in rows of 7. What is the smallest multiple of 7 that is greater than 50?

  30. 30.A kitchen uses 2/3 of a 9-cup bag of flour for bread. How many cups of flour are used?

  31. 31.A market coat drops in price from $80 to $60. What is the percent decrease?

  32. 32.A cook combines 3/8 cup of milk with 1/8 cup of milk. Quantity A is the total number of cups of milk. Quantity B is 1/2.

  33. 33.A workshop has 100 inches of wire and cuts it into 12-inch pieces. How many inches of wire are left over?

  34. 34.A kitchen mix of flour and sugar uses the ratio 4 to 1. The whole mix weighs 25 ounces. How many ounces are flour?

  35. 35.A ticket code uses the value 5^3. What is that value?

  36. 36.Garden ties are sold in packs of 6 and packs of 8. Quantity A is the least common multiple of 6 and 8. Quantity B is 30.

  37. 37.A bus uses 2.4 gallons of fuel on each of 3.5 identical trips. How many gallons does it use for those trips?

  38. 38.A market can pack 36 jars into equal packs. How many positive factors does 36 have?

  39. 39.A cook has 3 cups of broth and ladles it into portions of 1/4 cup. How many portions is that?

  40. 40.A booth marks 25% of 64 programs as reserved. Quantity A is the number of programs reserved. Quantity B is 16.

  41. 41.A bus ride lasts 2.5 hours. How many minutes is that ride?

  42. 42.A workshop log records the product of a change of -8 and a change of -6. What is -8 × -6?

  43. 43.A workshop tool costs $60 before tax. The tax is 8% of that price. What is the tax in dollars?

  44. 44.An integer m is greater than 10 and less than 20. Quantity A is the number of positive factors of m. Quantity B is 4.

  45. 45.Tickets numbered 4, 9, 14, and 19 continue with the same gap each time. What is the next ticket number?

  46. 46.At a market, a shopper pays $3.40 for pears, $2.15 for bread, and $1.25 for onions. What is the total cost?

  47. 47.Which of these milk amounts is the largest?

  48. 48.A kitchen scale reads a nonzero number x. Quantity A is the absolute value of x. Quantity B is x.

  49. 49.A crate of 30 bottles is described by the distinct prime factors of 30. What is the sum of those distinct prime factors?

  50. 50.A booth printer makes 90 tickets in 6 minutes at a steady rate. How many tickets does it make in one minute?

  51. 51.In a garden of 50 rose bushes, 30% are red. How many of the bushes are red?

  52. 52.A workshop order p is a positive integer divisible by 3. Quantity A is the remainder when p is divided by 6. Quantity B is 3.

  53. 53.A workshop compares two stacks whose counts are 4^3 and 2^3. What is 4^3 ÷ 2^3?

  54. 54.A gardener plants 77 bulbs in rows of 9. How many bulbs remain for a short last row?

  55. 55.A recipe uses 3/5 of a cup of milk. What percent of a cup is that?

  56. 56.At a booth, the ratio of red tickets to blue tickets is 2 to 3. Quantity A is the number of red tickets. Quantity B is 10.

  57. 57.On a number line, a bus stop is at -3 and a garden gate is at 8. What is the distance between those two points?

  58. 58.A market package of cheese weighs 2.5 pounds. Using 16 ounces in a pound, how many ounces does the package weigh?

  59. 59.A market ledger shows a morning balance of 320 dollars and then a withdrawal of 47 dollars. What is the new balance in dollars?

  60. 60.A garden count is compared with 8. Quantity A is the square root of 49. Quantity B is 8.

  61. 61.In a kitchen, the ratio of water to rice is 2 to 1. A pot uses 6 cups of rice. How many cups of water does the pot use?

  62. 62.A ticket order is listed as 3.6 × 10^2 tickets. How many tickets is that?

  63. 63.A market receives flour every 9 days and oil every 12 days. The two deliveries arrive together today. After how many days do they next arrive on the same day?

  64. 64.A market scale shows a decimal d that is greater than 0.2 and less than 0.8. Quantity A is d. Quantity B is 1/2.

  65. 65.In a garden, 2/3 of the beds hold vegetables, and 3/4 of the vegetable beds hold beans. What fraction of all the beds hold beans?

  66. 66.A bus fare of $25 rises by 16%. What is the new fare?

  67. 67.Which of these workshop counts is divisible by 4?

  68. 68.A cook starts with 7/8 cup of stock and pours out 1/4 cup. Quantity A is the number of cups left. Quantity B is 3/4.

  69. 69.Which of these values equals the square root of 48?

  70. 70.A recipe needs 2 3/4 cups of stock. Which fraction equals 2 3/4?

  71. 71.A bus travels 180 miles in 3 hours at a steady rate. What is that rate in miles per hour?

  72. 72.A bus has e rows of seats, where e is an even integer greater than 4. Quantity A is e. Quantity B is 8.

  73. 73.A 7.2-pound bag of garden soil is split equally among 8 pots. How many pounds go into each pot?

  74. 74.The morning reading on a workshop thermometer leads to the value -5 - (-12). What is that value?

  75. 75.A market shirt costs $45. A coupon takes 20% off that price. What is the sale price?

  76. 76.A ticket code compares two powers. Quantity A is 2^4. Quantity B is 3^3.

  77. 77.A kitchen starter doubles each hour, with counts 3, 6, 12, and 24. What is the next count?

  78. 78.A tile delivery includes one stack of 45 tiles and another of 75 tiles. What is the greatest common factor of 45 and 75?

  79. 79.A recipe adds 1/6 cup, 1/3 cup, and 1/2 cup of water. How many cups of water is that in all?

  80. 80.A bus travels at a positive speed of r miles per hour. Quantity A is the number of miles traveled in 2 hours. Quantity B is 50.

  81. 81.Which of these values is closest to 5.1 × 9.8?

  82. 82.A ticket clerk needs a stack that can be split into strips of 6 and also into strips of 15, with no tickets left over. What is the smallest positive number of tickets that works?

  83. 83.On a bus, 18 of the 40 seats are sold. What percent of the seats are sold?

  84. 84.A market crate priced at 40 dollars is raised by 20%. Quantity A is the new price in dollars. Quantity B is 50.

  85. 85.A workshop label shows the number 10^4. What is that value?

  86. 86.A kitchen oil tank is 5/6 full. Then an amount equal to 1/3 of a full tank is used. What fraction of a full tank remains?

  87. 87.A delivery cart covers 4 miles in 48 minutes at a steady rate. What is that rate in miles per hour?

  88. 88.A recipe uses two written measures of the same syrup. Quantity A is 4/6 cup. Quantity B is 2/3 cup.

  89. 89.A market scale computes 0.25 × 0.4 for a spice blend. What is that product?

  90. 90.The next garden plot will use the smallest prime number greater than 40. What is that prime?

  91. 91.Three riders split a $72 bus-pass cost in the ratio 1 to 2 to 3. How many dollars does the rider with 3 parts pay?

  92. 92.A garden count n is a positive integer that leaves a remainder of 1 when divided by 5. Quantity A is n. Quantity B is 16.

  93. 93.A workshop count equals 2^3 × 3^2 items. What is that number?

  94. 94.A garden path is 8 yards long. How many feet long is the path?

  95. 95.A workshop tool priced at $200 is discounted by 15%. What is the discount in dollars?

  96. 96.Workshop bolts come in packs of 4 and packs of 10. Quantity A is the least common multiple of 4 and 10. Quantity B is 12.

  97. 97.On a number line, which of these positions is farthest to the right?

  98. 98.A bus route is 32 miles, and 7/8 of the route is highway. How many miles of the route are highway?

  99. 99.A market has 250 apples to pack into bags of 7. How many apples are left over?

  100. 100.At a market, 5 pounds of rice cost $8. At the same rate, what is the cost of 15 pounds?

  101. 101.A number-line move starts at -9 and adds 4. What is the absolute value of -9 + 4?

  102. 102.A kitchen tank holds 6.05 gallons, and 2.4 gallons are used. How many gallons remain?

  103. 103.A stack doubles 6 times starting from 1, which makes 2^6 pieces. What is the square root of 2^6?

  104. 104.A garden club has 48 members, and 25% of them joined this year. How many members joined this year?

  105. 105.A bottle is 5/8 full of vinegar, and 1/8 of a full bottle is poured out. What fraction of the bottle is still full?

  106. 106.A workshop packs 96 tiles into boxes of 6 tiles each. How many full boxes is that?

  107. 107.A garden row is 3.2 meters long. Using 100 centimeters in a meter, how many centimeters long is the row?

  108. 108.A bus fare starts at $9, doubles, and then increases by $3. What is the final fare?