FreeExam

ISEE Lower Quantitative Reasoning

Word problems and quantitative comparisons for students applying to grades 5 and 6, without a calculator.

ISEE is a registered trademark of E3n. FreeExam is not affiliated with E3n, and these questions are original practice, not an official test.

  1. 1.A farmer packs 7 apples into each of 5 baskets and still has 4 apples left over. How many apples are there in all?

  2. 2.A pitcher holds 2/3 cup of lemonade. Kai pours in another 1/3 cup. How much lemonade is in the pitcher then?

  3. 3.A rectangular sticker is 8 centimeters long and 3 centimeters wide. What is its perimeter in centimeters?

  4. 4.A jar contains 60 marbles, and 50 percent of them are blue. How many blue marbles are in the jar?

  5. 5.The ratio of pencils to pens in a desk is 3 to 4. There are 9 pencils. How many pens are in the desk?

  6. 6.A number is multiplied by 5, and then 2 is added. The result is 27. What is the number?

  7. 7.A rope is 4.2 meters long. Lena cuts off 1.6 meters. How many meters of rope are left?

  8. 8.A square tile has a side length of 9 inches. What is its area in square inches?

  9. 9.A cake is cut into 6 equal slices. Ben eats 2 of the slices. What fraction of the cake is left?

  10. 10.A 2.8-pound bag of rice is divided into 4 equal bags. How many pounds are in each bag?

  11. 11.Soccer practice starts at 3:20 p.m. and lasts 1 hour 25 minutes. At what time does practice end?

  12. 12.A square window has a perimeter of 28 inches. How many inches long is one side?

  13. 13.Nora measures 1/4 cup of oats for muffins and 1/2 cup of oats for granola. How many cups of oats does she use altogether?

  14. 14.A hat costs $30. The shop takes 20 percent off the price. What is the sale price?

  15. 15.A puppy weighs 8 pounds. A grown dog weighs 3 times as much as the puppy. How many pounds do the puppy and the grown dog weigh together?

  16. 16.After 9 cards are removed from a stack, 16 cards remain. How many cards were in the stack at the start?

  17. 17.A rectangular napkin is 12 inches long and 6 inches wide. What is its area in square inches?

  18. 18.A glass is 2/5 full of milk. Which decimal shows how full the glass is?

  19. 19.A box holds 7 yellow crayons and 2 blue crayons. What is the ratio of yellow crayons to all the crayons?

  20. 20.Adele has $8.25. She spends $3.40 on a notebook. How much money does she have left?

  21. 21.A triangular flag has sides of 5 inches, 5 inches, and 8 inches. What is its perimeter in inches?

  22. 22.A sheet has 35 stickers, and 1/5 of them are stars. How many of the stickers are stars?

  23. 23.A train travels 240 miles in 4 hours at a steady speed. How many miles does it travel in 1 hour?

  24. 24.Six friends share 48 grapes equally. How many grapes does each friend get?

  25. 25.A paint can is 3/4 full. Wes uses half of the paint that is in the can. What fraction of the whole can does he use?

  26. 26.A rectangular poster board is 15 inches long and 4 inches wide. What is its perimeter in inches?

  27. 27.A plant is 1.25 meters tall. It grows 0.4 meters. How tall is the plant then, in meters?

  28. 28.Three notebooks cost $4.50 altogether. What is the price of one notebook?

  29. 29.A hallway is 8 yards long. How many feet long is the hallway? Use 4 yards = 144 inches and 1 foot = 12 inches.

  30. 30.Of 70 students in a grade, 10 percent brought lunch from home. How many students brought lunch from home?

  31. 31.A spool holds 5/6 of a yard of thread. A tailor uses 2/6 of a yard. How much thread is left?

  32. 32.A number is split into 5 equal parts, and each part is 9. What is the number?

  33. 33.A rectangular table is 3.5 feet long and 2 feet wide. What is its area in square feet?

  34. 34.The ratio of vans to trucks in a lot is 2 to 5. There are 8 vans. How many trucks are in the lot?

  35. 35.One spool of wire is 2.5 feet long. Four of those spools are placed end to end. How many feet long is the joined wire?

  36. 36.Three boxes hold the same number of markers, and there are 27 markers in all. How many markers are in each box?

  37. 37.A team has 32 players, and 1/8 of them are goalies. How many goalies are on the team?

  38. 38.A jogger runs 1/3 mile, rests, and then runs 1/6 mile. How many miles does the jogger run in all?

  39. 39.A square garden bed is enclosed by 20 feet of border. How many feet long is each side?

  40. 40.Milk costs $0.80 a carton. What is the cost of 4 cartons?

  41. 41.Seven of the 10 lockers in a row are closed. Which decimal shows the fraction of the lockers that are closed?

  42. 42.A cook uses 3 tomatoes for every 2 cups of sauce. She makes 8 cups of sauce. How many tomatoes does she use?

  43. 43.Twice a number, decreased by 4, equals 10. What is the number?

  44. 44.A board is 4 yards long. How many inches long is the board? Use 4 yards = 144 inches.

  45. 45.A room has 50 seats, and 30 percent of them are reserved. How many seats are reserved?

  46. 46.A rectangle has an area of 63 square centimeters and a length of 9 centimeters. What is its width in centimeters?

  47. 47.A bucket is 0.5 full of sand. Which fraction also describes how full the bucket is?

  48. 48.There are 45 books placed in 5 equal stacks. How many books are in each stack?

  49. 49.A tank is 5/6 full of water. An amount equal to 1/3 of the tank is drained. What fraction of the tank is still full?

  50. 50.A cooler holds 9.6 liters of water and is filled by 3 equal pitchers. How many liters are in each pitcher?

  51. 51.The ratio of red folders to blue folders is 4 to 1. There are 16 red folders. How many blue folders are there?

  52. 52.A bucket holds 6 tennis balls. More balls are added until the bucket holds 19. How many balls were added?

  53. 53.A rectangular lot is 18 meters long and 5 meters wide. What is its area in square meters?

  54. 54.A recipe uses 3/5 cup of sugar, and 1/3 of that sugar is brown sugar. How much of a cup is brown sugar?

  55. 55.Compare the two quantities. Column A: 2/3 of 12 Column B: 3/4 of 12

  56. 56.Compare the two quantities. k is a whole number greater than 3. Column A: k Column B: 8

  57. 57.Compare the two quantities. Column A: the perimeter of a square with side length 6 centimeters Column B: the perimeter of a rectangle that is 7 centimeters by 4 centimeters

  58. 58.Compare the two quantities. Column A: 0.9 Column B: 4/5

  59. 59.Compare the two quantities. Column A: 50 percent of 18 Column B: 1/2 of 18

  60. 60.Compare the two quantities. p is a positive number less than 12. Column A: p Column B: 7

  61. 61.Compare the two quantities. Column A: 9 × 6 Column B: 8 × 6

  62. 62.Compare the two quantities. A rectangle has an area of 36 square inches, and both side lengths are whole numbers of inches. Column A: the longer side length Column B: 9

  63. 63.Compare the two quantities. m is a fraction greater than 0 and less than 1. Column A: m Column B: 3/4

  64. 64.Compare the two quantities. Use 4 yards = 144 inches and 1 foot = 12 inches. Column A: the number of inches in 4 yards Column B: the number of inches in 12 feet

  65. 65.Compare the two quantities. Column A: 2/5 + 2/5 Column B: 1/2 + 1/5

  66. 66.Compare the two quantities. Column A: 6 × 8 Column B: 12 × 4

  67. 67.Compare the two quantities. y is a positive whole number. Column A: 3 × y Column B: y + 8

  68. 68.Compare the two quantities. Column A: 60 percent of 40 Column B: 40 percent of 40

  69. 69.Compare the two quantities. A bag contains more than 5 apples and fewer than 12 apples. Column A: the number of apples Column B: 8

  70. 70.Compare the two quantities. Column A: 7/2 Column B: 3.4

  71. 71.Compare the two quantities. Column A: the area of a rectangle that is 8 feet by 5 feet Column B: the area of a rectangle that is 10 feet by 4 feet

  72. 72.Compare the two quantities. Column A: 80 - 17 Column B: 80 - 29

  73. 73.Compare the two quantities. Column A: 1/4 of 24 Column B: 1/3 of 24

  74. 74.Compare the two quantities. Because 4 yards = 144 inches, 1 yard = 36 inches. Also use 1 foot = 12 inches. Column A: the number of inches in 1 yard plus 12 inches Column B: the number of inches in 4 feet

  75. 75.Compare the two quantities. n is a whole number greater than 6. Column A: n - 2 Column B: 8

  76. 76.Compare the two quantities. Column A: the sum of 15 ÷ 5 and 6 Column B: 27 ÷ 3

  77. 77.Compare the two quantities. Column A: the perimeter of a rectangle that is 8 inches by 3 inches Column B: the perimeter of a square with side length 6 inches

  78. 78.Compare the two quantities. Column A: 3/10 Column B: 0.35

  79. 79.Compare the two quantities. Column A: 5 × 5 Column B: 100 ÷ 4

  80. 80.Compare the two quantities. Column A: 20 percent of 45 Column B: 30 percent of 30

  81. 81.Compare the two quantities. t is a positive whole number. Column A: t + 6 Column B: 2 × t

  82. 82.Compare the two quantities. Column A: 7/8 Column B: 3/4

  83. 83.Compare the two quantities. Column A: 1.4 + 2.1 Column B: 2.6 + 1.6

  84. 84.Compare the two quantities. A rectangle has a perimeter of 16 inches, and its side lengths are positive numbers. Column A: the area in square inches Column B: 15

  85. 85.Compare the two quantities. Column A: 1/5 + 1/5 Column B: 1/2

  86. 86.Compare the two quantities. r is a number greater than 1 and less than 9. Column A: r Column B: 4

  87. 87.Compare the two quantities. Column A: 25 percent of 16 Column B: 50 percent of 16

  88. 88.Compare the two quantities. Column A: 6 × 7 Column B: 5 × 9

  89. 89.Compare the two quantities. Column A: 2/3 of 18 Column B: 3/4 of 16

  90. 90.Compare the two quantities. Use 4 yards = 144 inches. Column A: 100 inches Column B: the number of inches in 3 yards

  91. 91.Compare the two quantities. Column A: 4/5 Column B: 0.75

  92. 92.Compare the two quantities. s is a positive whole number less than 6. Column A: 3 × s Column B: 10

  93. 93.Compare the two quantities. A square has an area of 25 square feet. Column A: the perimeter of the square Column B: 24

  94. 94.Compare the two quantities. Column A: 1/2 of 14 Column B: 2/3 of 15

  95. 95.Compare the two quantities. Column A: 56 ÷ 7 Column B: 4 × 2

  96. 96.Compare the two quantities. Use 1 foot = 12 inches. Column A: the number of inches in 2 feet 3 inches Column B: the number of inches in 2.25 feet

  97. 97.Compare the two quantities. a and b are positive whole numbers, and a + b = 10. Column A: a Column B: b

  98. 98.Compare the two quantities. v is a number greater than 0. Column A: v + 4 Column B: 4 × v

  99. 99.Compare the two quantities. Column A: 0.3 × 20 Column B: 0.4 × 20

  100. 100.Compare the two quantities. Column A: 5/8 Column B: 1/2

  101. 101.Compare the two quantities. Column A: 3 × (4 + 5) Column B: the sum of 3 × 4 and 3 × 5

  102. 102.Compare the two quantities. Column A: 75 percent of 20 Column B: 60 percent of 20

  103. 103.Compare the two quantities. Use 4 yards = 144 inches and 1 foot = 12 inches. Column A: the number of inches in 3 feet Column B: the number of inches in 4 yards

  104. 104.Compare the two quantities. z is a whole number greater than 2 and less than 8. Column A: z Column B: 5

  105. 105.Compare the two quantities. Column A: 1/6 of 36 Column B: 1/4 of 36

  106. 106.Compare the two quantities. h is a positive number, and h is not equal to 5. Column A: h Column B: 5

  107. 107.Compare the two quantities. A rectangle is 5 inches wide. Its length is a whole number of inches greater than its width. Column A: the area in square inches Column B: 40

  108. 108.Compare the two quantities. Column A: 6/9 Column B: 2/3