FreeExam

SSAT Upper Quantitative

Arithmetic, algebra, geometry, and data for grades 8 through 11, 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.Four ribbons are 6, 10, 14, and 18 centimeters long. What is the mean length, in centimeters?

  2. 2.Five plants have heights, in inches, of 4, 9, 1, 7, and 3. What is the median height?

  3. 3.What is the value of x in the equation 4x - 7 = 21?

  4. 4.If n = 5, what is the value of 3n^2 - 4n + 1?

  5. 5.A rectangular garden is 6 meters wide and 8 meters long. How many meters long is a straight path along its diagonal?

  6. 6.What is the value of 8 + 4 × 3 - 6?

  7. 7.A bag holds 3 red marbles and 5 blue marbles. One marble is drawn at random. What is the probability that it is red?

  8. 8.What is the solution of the inequality 2x + 5 > 17?

  9. 9.What is the value of -7 - (-4) + 3?

  10. 10.What is the value of 2^5 - 3^2?

  11. 11.What is the value of the square root of 144 plus the square root of 81?

  12. 12.A triangle has angles of 47 degrees and 63 degrees. What is the measure, in degrees, of the third angle?

  13. 13.A circular fountain has radius 7 meters. What is the circumference of the fountain, in terms of pi?

  14. 14.A circular garden bed has radius 5 feet. What is the area of the bed, in terms of pi?

  15. 15.A jacket marked $80 is discounted by 25%. What is the sale price?

  16. 16.A fair coin is flipped and a fair number cube, with faces 1 through 6, is rolled. The two results are independent. What is the probability of heads and a 4?

  17. 17.In the system 2x + y = 11 and x - y = 1, what is the value of y?

  18. 18.The ratio of red beads to blue beads in a jar is 3 to 5. The jar has 24 red beads. How many blue beads are in the jar?

  19. 19.Three quiz scores are 70, 85, and 100. What is the mean score?

  20. 20.Two parallel rails are cut by a cross brace. One same-side interior angle measures 118 degrees. What is the measure, in degrees, of the other same-side interior angle?

  21. 21.Two similar triangles have a scale factor of 3 from the smaller to the larger. A side of the smaller triangle is 8 centimeters. What is the corresponding side of the larger triangle, in centimeters?

  22. 22.A pole on a coordinate grid runs from (2, -3) to (2, 11). What is the length of the pole?

  23. 23.Which expression is a factorization of x^2 + 5x + 6?

  24. 24.A plant grew from 15 centimeters to 18 centimeters. What is the percent increase?

  25. 25.Six bags of apples weigh 8, 2, 11, 5, 14, and 6 pounds. What is the median weight, in pounds?

  26. 26.A kite string forms a right triangle. The string meets the ground 5 feet from the flyer, and the kite is 12 feet above the ground. How long is the string, in feet?

  27. 27.Which expression is equal to (x + 4)(x - 1)?

  28. 28.A line passes through (2, 5) and (6, 17). What is the slope of the line?

  29. 29.A table of drinks sold lists 12 teas, 18 coffees, and 10 juices. One sold drink is selected at random. What is the probability that it is coffee?

  30. 30.A rectangular banner is 4 yards long. How many inches long is the banner?

  31. 31.Two fair coins are flipped. What is the probability that both land tails?

  32. 32.A taxi charges $3 plus $2 for each mile. The fare is $19. How many miles was the ride?

  33. 33.An isosceles triangle has two equal base angles, and its vertex angle measures 40 degrees. What is the measure, in degrees, of each base angle?

  34. 34.Four puppies are 5, 9, 11, and 15 weeks old. What is their mean age, in weeks?

  35. 35.Two similar rectangles have a scale factor of 4 from the smaller to the larger. The smaller rectangle has area 5. What is the area of the larger rectangle?

  36. 36.A transversal crosses two parallel lines and forms a 73 degree angle. What is the measure, in degrees, of the angle corresponding to that 73 degree angle?

  37. 37.If a = -2 and b = 4, what is the value of a^2 - ab?

  38. 38.A circular track has diameter 18 meters. What is the distance around the track, in terms of pi?

  39. 39.What is the value of 3(2 + 4)^2 - 10?

  40. 40.A spinner has 8 equal sections: 2 red, 3 blue, and 3 yellow. What is the probability of landing on blue or yellow?

  41. 41.Which pair solves the system x + 2y = 14 and x + y = 9?

  42. 42.The ages of five cousins are 12, 4, 19, 7, and 10. What is the median age?

  43. 43.What is the solution of the inequality -3x ≤ 18?

  44. 44.What is the value of (-3)^2 × (-2)?

  45. 45.Which expression is a factorization of x^2 - 9x + 20?

  46. 46.The foot of a ladder is 9 feet from a wall, and the ladder reaches 12 feet up the wall. How long is the ladder, in feet?

  47. 47.Which of the following is a solution of (x - 3)^2 = 16?

  48. 48.A shelf on a coordinate grid runs from (-7, 4) to (5, 4). What is the length of the shelf?

  49. 49.The probability of rain on Saturday is 1/5, and the probability of rain on Sunday is 1/4. The days are independent. What is the probability that it rains on both days?

  50. 50.What is the square root of 196?

  51. 51.A ramp on a coordinate grid passes through (-1, 8) and (3, 0). What is the slope of the ramp?

  52. 52.A right triangle has a 90 degree angle and a 28 degree angle. What is the measure, in degrees, of the third angle?

  53. 53.A round table has diameter 12 feet. What is the area of the tabletop, in terms of pi?

  54. 54.A table of pages read lists Monday 20, Tuesday 16, Wednesday 28, and Thursday 16. What is the mean number of pages per day?

  55. 55.A large square and a small square are similar with scale factor 5. The small square has area 4. What is the area of the large square?

  56. 56.What is the value of x in the equation 5(x - 2) = 3x + 6?

  57. 57.Which expression is equal to (2x - 3)(x + 5)?

  58. 58.A jar has 4 lemon candies and 6 mint candies. One candy is taken at random. What is the probability that it is mint?

  59. 59.A rectangular gate is 9 feet wide, and its diagonal brace is 15 feet long. How many feet tall is the gate?

  60. 60.Five readers collected 15, 3, 9, 21, and 8 stickers. What is the median number of stickers?

  61. 61.If t = 3, what is the value of 2(t + 1)^2 - 5?

  62. 62.In the system 3x + y = 13 and 2x - y = 2, what is the value of x?

  63. 63.A bag has 2 red tiles and 3 blue tiles. A tile is drawn, replaced, and then a tile is drawn again. What is the probability that both tiles are red?

  64. 64.Two parallel lines are cut by a transversal. One interior angle measures 65 degrees. What is the measure, in degrees, of the alternate interior angle?

  65. 65.Which expression is a factorization of x^2 + 2x - 15?

  66. 66.A line on a graph passes through (0, -4) and (5, 6). What is the slope of the line?

  67. 67.A trail mix uses peanuts and raisins in the ratio 5 to 2. A bag contains 35 ounces of peanuts. How many ounces of raisins are in the bag?

  68. 68.What is 15% of 240?

  69. 69.What is the value of (-48) ÷ 6 × (-2)?

  70. 70.A ribbon is 2 and 1/2 yards long. How many inches long is the ribbon?

  71. 71.What is the value of 4^3 - 2^6?

  72. 72.Five morning temperatures were 61, 64, 70, 73, and 72 degrees. What is the mean temperature?

  73. 73.A wheel has radius 9 inches. How far does the wheel travel in one full turn, in terms of pi?

  74. 74.A number n is multiplied by 4, and then 6 is subtracted. The result is less than 22. Which inequality describes n?

  75. 75.Two angles of a triangle measure 55 degrees and 75 degrees. What is the measure, in degrees, of the third angle?

  76. 76.A bike price dropped from $250 to $200. What is the percent decrease?

  77. 77.What is the value of y in the equation 7y + 4 = 2y + 29?

  78. 78.A scale drawing uses 1 inch for every 8 miles. On the drawing, two towns are 6 inches apart. How many miles apart are the towns?

  79. 79.A rope on a coordinate grid hangs from (-4, 3) to (-4, -8). What is the length of the rope?

  80. 80.A sail forms a right triangle with a base of 10 feet and a height of 24 feet. What is the length of the hypotenuse, in feet?

  81. 81.Which expression is equal to (x - 6)^2?

  82. 82.A table of snack votes lists 8 votes for apple, 7 for pear, and 5 for grape. One voter is selected at random. What is the probability that the voter chose grape?

  83. 83.What is the value of 20 - 4 × 3 + 8 ÷ 2?

  84. 84.Two similar triangles have a scale factor of 2 from the smaller to the larger. The smaller triangle has area 9. What is the area of the larger triangle?

  85. 85.Two parallel edges of a frame are cut by a diagonal. An exterior angle measures 124 degrees. What is the measure, in degrees, of the same-side exterior angle?

  86. 86.Two numbers add to 20 and differ by 6. What is the larger number?

  87. 87.If p = -3, what is the value of p^2 + 2p - 1?

  88. 88.What is the value of the square root of 256 minus the square root of 16?

  89. 89.The ratio of boys to girls in a club is 4 to 7. The club has 28 girls. How many boys are in the club?

  90. 90.Using the rule that -2^4 means the negative of 2^4, what is the value of -2^4 + (-2)^4?

  91. 91.Which expression is the complete factorization of 2x^2 + 8x?

  92. 92.Six tickets are numbered 1, 6, 4, 9, 2, and 10. What is the median of those numbers?

  93. 93.A fair number cube has faces 1 through 6, and a fair coin is flipped. The results are independent. What is the probability of an even number and tails?

  94. 94.A beam on a coordinate grid passes through (3, 9) and (7, 9). What is the slope of the beam?

  95. 95.A board is 9 feet long. How many inches long is the board?

  96. 96.What is the solution of the inequality 5 - 2x > 11?

  97. 97.A circular pond has radius 11 meters. What is the area of the pond, in terms of pi?

  98. 98.A table of muffins sold lists 6, 9, 4, and 13 on four mornings. What is the mean number sold per morning?

  99. 99.A student answered 18 of 24 questions correctly. What percent of the questions were correct?

  100. 100.What is the value of x in the equation x/3 + 4 = 10?

  101. 101.The angles of a triangle are in the ratio 2 to 3 to 4. What is the measure, in degrees, of the largest angle?

  102. 102.In the system 4x + y = 18 and x + y = 6, what is the value of y?

  103. 103.A photograph is enlarged by a scale factor of 3. The photograph is 5 inches wide. How many inches wide is the enlargement?

  104. 104.The equation x^2 + 10x + 25 = 0 is a squared binomial set equal to 0. What is the solution?

  105. 105.A box has 5 black pens and 7 blue pens. One pen is chosen at random. What is the probability that it is black?

  106. 106.What is the value of |-15 + 7| - |4 - 9|?

  107. 107.A printer makes 90 pages in 6 minutes. At that same rate, how many pages does it make in 15 minutes?

  108. 108.If m = 4 and n = -1, what is the value of 3m - 5n?