FreeExam

ISEE Middle Quantitative Reasoning

Word problems and quantitative comparisons for students applying to grades 7 and 8, 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 book club reads 18 pages on Monday and 27 pages on Tuesday. How many pages does the club read on those two days?

  2. 2.A trail covers 3/5 of a 40-mile loop. How many miles long is the trail?

  3. 3.What is the value of 4n + 7 when n = 6?

  4. 4.A rectangle is 9 feet long and 4 feet wide. What is its area in square feet?

  5. 5.The ratio of red beads to blue beads is 2 to 5. There are 10 red beads. How many blue beads are there?

  6. 6.A shirt costs 48 dollars. The price is reduced by 25 percent. What is the sale price in dollars?

  7. 7.What is the value of x if x - 9 = 14?

  8. 8.The scores on a quiz are 3, 5, 8, 10, and 19. What is the median?

  9. 9.A bus travels 180 miles in 3 hours at a steady speed. How many miles does it travel in 5 hours at that speed?

  10. 10.What is 15 percent of 80?

  11. 11.The perimeter of a square is 28 inches. What is the length of one side, in inches?

  12. 12.A number is multiplied by 6, and then 5 is subtracted. The result is 37. What is the number?

  13. 13.In a class of 30 students, 2/5 play soccer. How many students play soccer?

  14. 14.A triangle has a base of 10 centimeters and a height of 6 centimeters. What is its area in square centimeters?

  15. 15.The price of a notebook rose from 8 dollars to 10 dollars. By what percent did the price increase?

  16. 16.What is the value of x if 3x + 4 = 19?

  17. 17.A bag has 5 red marbles and 7 green marbles. What is the ratio of red marbles to all the marbles?

  18. 18.A garden bed is 12 yards long. How many feet long is the bed?

  19. 19.The mean of four quiz scores is 80. Three of the scores are 70, 85, and 90. What is the fourth score?

  20. 20.Four pencils cost 6 dollars. At the same price, what is the cost of 10 pencils, in dollars?

  21. 21.What is the value of 2(8) + 3(5)?

  22. 22.A rectangular pool is 25 meters long and 8 meters wide. What is its perimeter in meters?

  23. 23.40 is what percent of 160?

  24. 24.What is the value of x if x/4 = 9?

  25. 25.On a map, 1 inch represents 8 miles. Two towns are 5 inches apart on the map. How many miles apart are the towns?

  26. 26.Apples sell at 3 for 2 dollars. How many apples can be bought with 10 dollars?

  27. 27.The area of a square is 49 square inches. What is the side length in inches?

  28. 28.A jacket sells for 60 dollars after a 20 percent discount. What was the original price in dollars?

  29. 29.The numbers of laps finished are 3, 3, 6, and 8. What is the mode?

  30. 30.What is the value of x if 5x - 2 = 23?

  31. 31.A recipe uses 2 cups of flour for 12 muffins. How many cups of flour are needed for 30 muffins?

  32. 32.What is 3/8 of 64?

  33. 33.A floor is 11 feet long and 9 feet wide. How many square feet of tile are needed to cover it?

  34. 34.The ratio of boys to girls in a club is 3 to 4. There are 21 boys. How many girls are there?

  35. 35.A cyclist rides 12 miles in 45 minutes at a steady speed. What is that speed in miles per hour?

  36. 36.What is the next number in the pattern 4, 9, 14, 19?

  37. 37.A tank that holds 48 liters is 3/4 full. How many liters are in the tank?

  38. 38.What is the value of x if 2(x + 6) = 22?

  39. 39.A pair of shoes costs 50 dollars. The sales tax is 6 percent. How many dollars is the tax?

  40. 40.The sum of three consecutive integers is 42. What is the middle integer?

  41. 41.A rectangle is 15 centimeters long and 6 centimeters wide. The length is increased by 3 centimeters, and the width stays the same. What is the new area in square centimeters?

  42. 42.What is 120 percent of 45?

  43. 43.The temperature was -6 degrees at dawn and rose 11 degrees by noon. What was the temperature at noon, in degrees?

  44. 44.A survey counted 14 votes for buses, 9 votes for trains, and 7 votes for bikes. How many votes were counted in all?

  45. 45.What is the value of x if x/3 + 5 = 11?

  46. 46.A painter covers 2/3 of a wall that has an area of 48 square feet. How many square feet does the painter cover?

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

  48. 48.Five liters of paint cover 40 square meters. At that rate, how many square meters do 8 liters cover?

  49. 49.What is the value of 7 × 7 - 3 × 3?

  50. 50.A class has 28 students, and 3/7 of them brought lunch from home. How many students brought lunch from home?

  51. 51.What is the value of x if 4(x - 3) = 20?

  52. 52.A pennant is a triangle with base 14 inches and height 5 inches. What is its area in square inches?

  53. 53.A savings jar holds 240 dollars. After one deposit, it holds 125 percent of that amount. How many dollars are in the jar after the deposit?

  54. 54.What is the range of the numbers 6, 11, 4, 15, and 9?

  55. 55.Compare the two quantities. Column A: 25 percent of 48 Column B: 20 percent of 70

  56. 56.Compare the two quantities. Column A: the number of inches in 4 yards Column B: 144

  57. 57.x is a positive number. Compare the two quantities. Column A: x Column B: 8

  58. 58.Compare the two quantities. Column A: 3/5 of 20 Column B: 1/2 of 30

  59. 59.A rectangle has a perimeter of 20 centimeters. Compare the two quantities. Column A: the area of the rectangle, in square centimeters Column B: 24

  60. 60.Compare the two quantities. Column A: 2 × 2 × 2 × 2 Column B: 3 × 3 + 8

  61. 61.Compare the two quantities. Column A: 3/4 Column B: 5/8

  62. 62.Compare the two quantities. Column A: 15 percent of 60 Column B: 9

  63. 63.Compare the two quantities. Column A: the perimeter, in inches, of a square with side length 9 inches Column B: the perimeter, in inches, of a rectangle that is 7 inches by 10 inches

  64. 64.Compare the two quantities. Column A: 30 percent of 40 Column B: 20 percent of 70

  65. 65.Compare the two quantities. Column A: 7/2 Column B: 3

  66. 66.Compare the two quantities. Column A: the median of 4, 6, and 11 Column B: the mean of 4, 6, and 11

  67. 67.Compare the two quantities. Column A: 8 × 7 - 6 Column B: 50

  68. 68.Compare the two quantities. Column A: 5/6 of 18 Column B: 2/3 of 18

  69. 69.Compare the two quantities. Column A: 144 ÷ 12 Column B: 144 ÷ 16

  70. 70.n is an integer greater than 1. Compare the two quantities. Column A: n + n Column B: n × n

  71. 71.Compare the two quantities. Column A: 12 percent of 50 Column B: 8 percent of 100

  72. 72.Compare the two quantities. Column A: the number of feet in 8 yards Column B: 24

  73. 73.Compare the two quantities. Column A: 4(7) + 4(3) Column B: 4(10)

  74. 74.x is greater than 5. Compare the two quantities. Column A: x Column B: 9

  75. 75.Compare the two quantities. Column A: 3/5 + 1/5 Column B: 3/4

  76. 76.Compare the two quantities. Column A: 60 percent of 35 Column B: 21

  77. 77.A rectangle has an area of 36 square centimeters. Compare the two quantities. Column A: the length of one side, in centimeters Column B: 9

  78. 78.Compare the two quantities. Column A: 2/3 of 21 Column B: 3/4 of 20

  79. 79.y is a positive even integer. Compare the two quantities. Column A: y Column B: 6

  80. 80.Compare the two quantities. Column A: the perimeter of an equilateral triangle with side length 7 Column B: the perimeter of a square with side length 6

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

  82. 82.Compare the two quantities. Column A: 9 × 8 Column B: 12 × 6

  83. 83.Compare the two quantities. Column A: 7/10 Column B: 2/3

  84. 84.Compare the two quantities. Column A: 150 percent of 18 Column B: 24

  85. 85.Compare the two quantities. Column A: 18/24 Column B: 3/4

  86. 86.Compare the two quantities. Column A: 11 × 11 Column B: 9 × 13

  87. 87.n is a number other than 0. Compare the two quantities. Column A: n Column B: the opposite of n

  88. 88.Compare the two quantities. Column A: 25 percent of 84 Column B: 21

  89. 89.Compare the two quantities. Column A: 2 + 3 × 4 Column B: 14

  90. 90.Compare the two quantities. Column A: the least common multiple of 6 and 8 Column B: 16

  91. 91.Compare the two quantities. Column A: 5/12 of 36 Column B: 1/2 of 36

  92. 92.Compare the two quantities. Column A: 8 × 8 Column B: 4 × 15

  93. 93.Two different positive numbers have a product of 24. Compare the two quantities. Column A: the greater of the two numbers Column B: 8

  94. 94.Compare the two quantities. Column A: 40 percent of 50 Column B: 30 percent of 60

  95. 95.Compare the two quantities. Column A: 3(12 - 5) Column B: 21

  96. 96.Compare the two quantities. Column A: the number of minutes in 3 hours Column B: 180

  97. 97.x and y are positive numbers, and x + y = 12. Compare the two quantities. Column A: x Column B: y

  98. 98.A triangle has a perimeter of 30. Compare the two quantities. Column A: the longest side Column B: 12

  99. 99.Compare the two quantities. Column A: 45 ÷ (1/2) Column B: 90

  100. 100.Compare the two quantities. Column A: 2/5 of 45 Column B: 1/3 of 60

  101. 101.m and n are positive numbers, and m is greater than n. Compare the two quantities. Column A: m - n Column B: n

  102. 102.Compare the two quantities. Column A: 9/4 Column B: 2

  103. 103.Compare the two quantities. Column A: the area of a right triangle with legs 6 and 8 Column B: the area of a rectangle that is 5 by 5

  104. 104.Compare the two quantities. Column A: 16 percent of 25 Column B: 4

  105. 105.Compare the two quantities. Column A: 5 × 5 × 2 Column B: 7 × 7

  106. 106.Compare the two quantities. Column A: 3/8 Column B: 5/12

  107. 107.The median of three different positive integers is 8. Compare the two quantities. Column A: the greatest of the three integers Column B: 10

  108. 108.Compare the two quantities. Column A: 7 × 9 - 4 Column B: 7 × 8