SSAT Middle Quantitative

Arithmetic, pre-algebra, geometry, and data for grades 5, 6, and 7, without a calculator.

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

  1. 1.What is 30 percent of the number 40?

  2. 2.What is the mean of 6, 9, 11, and 14?

  3. 3.A recipe uses 3/4 of an 8-cup bottle of milk. How many cups of milk does the recipe use?

  4. 4.A rectangular label is 9 centimeters long and 7 centimeters wide. What is its area in square centimeters?

  5. 5.What is 3.6 + 2.75?

  6. 6.Two angles of a triangle measure 48 degrees and 67 degrees. What is the third angle, in degrees?

  7. 7.What is the median of 4, 15, 7, 9, and 12?

  8. 8.The ratio of apple muffins to berry muffins is 2 to 5. There are 14 apple muffins. How many berry muffins are there?

  9. 9.What is the value of x if x - 18 = 7?

  10. 10.What is the value of 4n - 6 when n = 5?

  11. 11.A shirt costs 40 dollars. The price is reduced by 25 percent. What is the sale price in dollars?

  12. 12.A rectangular pen is 15 feet long and 5 feet wide. How many feet of fence are needed to go around it?

  13. 13.What is the greatest common factor of 36 and 48?

  14. 14.A triangle has a base of 10 centimeters and a height of 8 centimeters. What is its area in square centimeters?

  15. 15.Solve 3x + 4 = 19. What is x?

  16. 16.What is the least common multiple of 8 and 12?

  17. 17.What is 2/3 + 1/6?

  18. 18.A box is 5 inches long, 4 inches wide, and 3 inches high. What is its volume in cubic inches?

  19. 19.What is 0.4 × 0.3?

  20. 20.A bag has 3 red tiles, 5 blue tiles, and 2 green tiles. One tile is drawn at random. What is the probability that the tile is blue?

  21. 21.What is 6 + 4 × 5?

  22. 22.What is the sum of -9 and -6?

  23. 23.What is 13 squared?

  24. 24.A cyclist rides 18 miles in 3 hours at a steady speed. How many miles does the cyclist ride in 5 hours at that same speed?

  25. 25.What is 4 cubed?

  26. 26.Of 60 students in a grade, 2/5 walk to school. How many of those students walk to school?

  27. 27.What is y if 7y = 56?

  28. 28.What is the value of -3 + 2k when k = 4?

  29. 29.Each crate holds 8 bottles. How many bottles are in 27 crates?

  30. 30.Three angles of a quadrilateral measure 80 degrees, 95 degrees, and 110 degrees. What is the fourth angle, in degrees?

  31. 31.Point P is at (3, -2) on the coordinate plane. The point moves 4 units right and 5 units up. What is the x-coordinate of the new point?

  32. 32.What percent of 50 is 20?

  33. 33.Two angles form a straight line. One angle measures 58 degrees. What is the other angle, in degrees?

  34. 34.A paint mix uses blue and yellow in the ratio 3 to 4. The mix uses 12 cups of blue paint. How many cups of yellow paint does it use?

  35. 35.Solve 2n - 9 = 11. What is n?

  36. 36.The scores on five quizzes are 8, 10, 7, 9, and 11. What is the mean score?

  37. 37.Each side of a square is doubled. By what number is the area multiplied?

  38. 38.What is the greatest integer n such that n + 6 < 15?

  39. 39.What is (-6) × (-8)?

  40. 40.What is the value of 18 - 5m when m = 3?

  41. 41.A table of books read shows four students. Ana read 4 books, Ben read 7 books, Cara read 5 books, and Diego read 8 books. How many books did the four students read in all?

  42. 42.What is 5 - 1.35?

  43. 43.What is (18 - 6) ÷ 3 + 5?

  44. 44.How many factors does 18 have?

  45. 45.What is t if t ÷ 4 = 9?

  46. 46.How many inches are in 4 yards?

  47. 47.A triangle has sides of 9 inches, 12 inches, and 15 inches. What is its perimeter in inches?

  48. 48.What is the median of 3, 18, 10, and 7?

  49. 49.What is the least common multiple of 6 and 9?

  50. 50.A diver is at -15 feet and then swims up 9 feet. What is the diver's position, in feet, after that rise?

  51. 51.Six notebooks cost 18 dollars. At the same price, what is the cost, in dollars, of 10 notebooks?

  52. 52.A rectangular poster is 11 inches by 8 inches. What is its area in square inches?

  53. 53.A spinner has 8 equal sections numbered 1 through 8. What is the probability that it lands on a number greater than 6?

  54. 54.The mean of four numbers is 12. Three of the numbers are 9, 15, and 11. What is the fourth number?

  55. 55.Solve 5x + 2 = 37. What is x?

  56. 56.What is 2 × 3 squared + 4?

  57. 57.A library had 800 books and gave away 265 of them. How many books are left?

  58. 58.An isosceles triangle has two equal angles of 70 degrees. What is the third angle, in degrees?

  59. 59.What is the median of 20, 14, 14, 18, and 30?

  60. 60.A jar has 4 lemon candies and 6 cherry candies. One candy is picked at random. What is the probability that it is lemon?

  61. 61.What is the value of 2(x + 7) when x = 3?

  62. 62.Each tray holds 24 muffins. How many muffins are on 15 trays?

  63. 63.What is the sum of -8, 15, and -3?

  64. 64.What is 756 ÷ 9?

  65. 65.A garden packet has 200 seeds, and 35 percent of them are sunflower seeds. How many sunflower seeds are in the packet?

  66. 66.What is w if w - 8 = -3?

  67. 67.A rectangular tank is 8 feet long, 2 feet wide, and 6 feet deep. What is its volume in cubic feet?

  68. 68.What is 25 × 16?

  69. 69.What is 3/4 of 48?

  70. 70.What is 48 ÷ 6 × 2?

  71. 71.A tank with a capacity of 90 liters is 60 percent full. How many liters are in the tank?

  72. 72.A table of practice time shows Monday 2 hours, Tuesday 3 hours, Wednesday 1 hour, Thursday 2 hours, and Friday 2 hours. What is the mean number of hours per day?

  73. 73.What is the distance, in units, from the point (2, 5) to the point (2, 12)?

  74. 74.A table of noon temperatures, in degrees, shows Monday 61, Tuesday 70, Wednesday 64, Thursday 68, and Friday 62. What is the median temperature?

  75. 75.The ratio of cats to dogs at a shelter is 5 to 2. There are 20 dogs. How many cats are there?

  76. 76.What is 2.5 × 8?

  77. 77.A ribbon is 7 feet long. How many inches long is the ribbon?

  78. 78.Five cards are labeled 2, 4, 6, 8, and 9. One card is drawn at random. What is the probability that the number is even?

  79. 79.What is the smallest integer x such that 2x > 11?

  80. 80.What is the mean of 5, 5, 8, and 14?

  81. 81.What is the remainder when 95 is divided by 8?

  82. 82.What is the median of 9, 2, 16, 11, and 6?

  83. 83.A box holds 12 pencils. Of those pencils, 7 are sharpened and 5 are not. One pencil is taken at random. What is the probability that it is not sharpened?

  84. 84.What is p if p + 24 = 9?

  85. 85.What is 5/6 - 1/2?

  86. 86.A triangular sail has a base of 14 feet and a height of 6 feet. What is its area in square feet?

  87. 87.A table of laps swum shows Kai with 6 laps, Noor with 9 laps, and Luis with 12 laps. What is the mean number of laps?

  88. 88.A right angle is split into two angles. One of them measures 37 degrees. What is the other angle, in degrees?

  89. 89.A square has a perimeter of 52 centimeters. How long, in centimeters, is one side?

  90. 90.Solve 4y - 7 = 21. What is y?

  91. 91.A printer makes 45 pages in 5 minutes at a steady rate. How many pages does it make in 8 minutes?

  92. 92.What is the mean of 4, 10, 7, and 15?

  93. 93.What is 12 percent of 150?

  94. 94.A square tile has sides of 9 inches. What is its area in square inches?

  95. 95.What is 2 cubed plus 3 squared?

  96. 96.What is the value of n ÷ 3 + 8 when n = 12?

  97. 97.Solve 6 + 2x = 20. What is x?

  98. 98.What is the value of 9 - 4a when a = -2?

  99. 99.What is the greatest common factor of 42 and 70?

  100. 100.Solve x ÷ 5 - 2 = 3. What is x?

  101. 101.A path is 5 yards long. How many feet long is the path?

  102. 102.A number cube has faces numbered 1 through 6. It is rolled once. What is the probability of rolling a multiple of 3?

  103. 103.What is 2/5 × 3/4?

  104. 104.How many integers n satisfy 4 < n < 9?

  105. 105.What is the value of 3(2 + k) - 4 when k = 5?

  106. 106.A triangle has angles of 35 degrees and 75 degrees. What is the third angle, in degrees?

  107. 107.What is z if 9z = 72?

  108. 108.A table lists the ages, in months, of five puppies: 2, 9, 5, 4, and 6. What is the median age in months?