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STAAR Math Grade 8

One hundred eight questions on real numbers, slope, systems, the Pythagorean theorem, volume, transformations, and scatterplots.

These questions are original. This is not an official STAAR test, and FreeExam is not affiliated with the Texas Education Agency.

  1. 1.What is the principal square root of 49?

  2. 2.√20 lies between which pair of consecutive whole numbers?

  3. 3.Which number is irrational?

  4. 4.Which number is rational?

  5. 5.Which list orders √2, 3/2, √3, and 4/3 from least to greatest?

  6. 6.What is √81?

  7. 7.Which number is a perfect square?

  8. 8.Which whole number is closest to √50?

  9. 9.What is √4 × √9?

  10. 10.A square has an area of 121 square centimeters. What is the length of one side?

  11. 11.What is √9 + √16?

  12. 12.Which statement about π is true?

  13. 13.Which number is greater, √50 or 7.2?

  14. 14.Which fraction equals 0.125?

  15. 15.What is 2⁵?

  16. 16.What is 10⁻²?

  17. 17.Which expression is 4,500,000 written in scientific notation?

  18. 18.Which expression is 0.00032 written in scientific notation?

  19. 19.What is (2 × 10³) × (3 × 10⁴)?

  20. 20.What is (8 × 10⁶) ÷ (2 × 10²)?

  21. 21.What is (2³)²?

  22. 22.What is 5⁰?

  23. 23.What is 2³ × 2⁴?

  24. 24.Which number is larger, 3.1 × 10⁵ or 4.2 × 10⁴?

  25. 25.What is the slope of the line through (1, 2) and (4, 8)?

  26. 26.What is the slope of the line through (0, 5) and (2, 1)?

  27. 27.What is the slope of the line y = 4?

  28. 28.What is the slope of the line x = 3?

  29. 29.What is the y-intercept of y = −3x + 7?

  30. 30.What is the slope of y = −3x + 7?

  31. 31.A line has slope 2 and passes through (0, −1). Which equation matches the line?

  32. 32.A line passes through (1, 4) and has slope 3. What is the y-value when x = 3?

  33. 33.A line contains (0, 1), (2, 7), and (4, 13). What is its slope?

  34. 34.Which equation shows y proportional to x?

  35. 35.Which equation is not linear?

  36. 36.A tank holds 40 liters and loses 5 liters each minute. How much water is left after 3 minutes?

  37. 37.A repair cost is modeled by y = 12x + 30, where x is the number of hours and y is the cost in dollars. What does 30 represent?

  38. 38.A repair cost is modeled by y = 12x + 30, where x is hours and y is dollars. What does 12 represent?

  39. 39.A line has slope 4 and passes through (2, 11). Which equation matches the line?

  40. 40.What is the x-intercept of y = 2x − 8?

  41. 41.What is the solution of y = x + 1 and y = 2x − 3?

  42. 42.What is the solution of x + y = 10 and x − y = 2?

  43. 43.How many solutions does the system y = 2x + 1 and y = 2x + 5 have?

  44. 44.How many solutions does the system 2x + 2y = 8 and x + y = 4 have?

  45. 45.Two notebooks and one pen cost $7. One notebook and one pen cost $4. What is the price of one notebook?

  46. 46.Where do the lines y = −x + 6 and y = x intersect?

  47. 47.What is the solution of y = 3x and x + y = 12?

  48. 48.Two numbers add up to 15, and their difference is 3. What are the numbers?

  49. 49.Does (2, −1) satisfy both y = x − 3 and 2x + y = 3?

  50. 50.Four adult tickets and two child tickets cost $36. One adult ticket and one child ticket cost $11. What is the price of one child ticket?

  51. 51.A right triangle has legs of 6 centimeters and 8 centimeters. What is the hypotenuse?

  52. 52.A right triangle has a hypotenuse of 13 and one leg of 5. What is the other leg?

  53. 53.Which side lengths form a right triangle?

  54. 54.What is the distance between (1, 2) and (4, 6)?

  55. 55.A 10-foot ladder leans against a wall. Its base is 6 feet from the wall. How high up the wall does the ladder reach?

  56. 56.A rectangle is 9 inches by 12 inches. What is the length of a diagonal?

  57. 57.A right triangle has two legs of length 5. What is the hypotenuse, in simplest radical form?

  58. 58.A triangle has sides 7, 24, and 25. Is it a right triangle?

  59. 59.A right triangle has a hypotenuse of 15 and one leg of 9. What is the other leg?

  60. 60.What is the distance between (−2, 1) and (1, 5)?

  61. 61.A square has a diagonal of length 10. What is the side length, in simplest radical form?

  62. 62.Which side lengths do not form a right triangle?

  63. 63.The point (2, −3) is translated 4 units right and 1 unit up. What are the new coordinates?

  64. 64.The point (3, −5) is reflected across the x-axis. What are the new coordinates?

  65. 65.The point (−4, 2) is reflected across the y-axis. What are the new coordinates?

  66. 66.The point (2, −6) is rotated 180° about the origin. What are the new coordinates?

  67. 67.The point (2, 0) is rotated 90° counterclockwise about the origin. What are the new coordinates?

  68. 68.The point (3, 1) is dilated by a scale factor of 2 with the center at the origin. What are the new coordinates?

  69. 69.The point (8, −4) is dilated by a scale factor of 1/4 with the center at the origin. What are the new coordinates?

  70. 70.Which transformation does not keep side lengths the same?

  71. 71.Which transformation produces a similar figure that is not congruent to the original?

  72. 72.A figure is moved 3 units left and 2 units down. Which rule describes the move?

  73. 73.A figure is reflected. What happens to its angle measures?

  74. 74.Start at (1, 2). Reflect the point across the x-axis, then translate it 3 units right. Where does it land?

  75. 75.A cylinder has radius 3 centimeters and height 5 centimeters. What is its volume, in terms of π?

  76. 76.A cone has radius 3 centimeters and height 4 centimeters. What is its volume, in terms of π?

  77. 77.A sphere has radius 3 centimeters. What is its volume, in terms of π?

  78. 78.A cylinder and a cone have the same radius and the same height. How does the cylinder's volume compare with the cone's volume?

  79. 79.A cylinder's radius is doubled, and its height stays the same. What happens to the volume?

  80. 80.A cone has radius 2 inches and height 6 inches. What is its volume, in terms of π?

  81. 81.A sphere has radius 2 centimeters. What is its volume, in terms of π?

  82. 82.A cylinder has diameter 10 centimeters and height 2 centimeters. What is its volume, in terms of π?

  83. 83.Which expression is the volume of a cone with radius r and height h?

  84. 84.A cylinder has volume 20π cubic centimeters and radius 2 centimeters. What is its height?

  85. 85.Two parallel lines are cut by a transversal. One angle measures 70°. What is the measure of the corresponding angle?

  86. 86.Two parallel lines are cut by a transversal. One interior angle measures 70°. What is the measure of the consecutive interior angle on the same side of the transversal?

  87. 87.Two parallel lines are cut by a transversal. One interior angle measures 65°. What is the measure of the alternate interior angle?

  88. 88.The angles of a triangle measure x, 2x, and 3x. What is the largest angle?

  89. 89.Two adjacent angles form a straight line. One measures 48°. What does the other measure?

  90. 90.A transversal cuts two lines. A pair of corresponding angles measures 70° and 80°. Which statement is true?

  91. 91.Two parallel lines are cut by a transversal. One exterior angle measures 118°. What is the measure of the alternate exterior angle?

  92. 92.An exterior angle of a triangle measures 120°. One remote interior angle measures 50°. What is the other remote interior angle?

  93. 93.A scatterplot compares hours of practice and points scored. As the hours increase, the points tend to increase. What kind of association is this?

  94. 94.A scatterplot compares the price of a ticket and the number of tickets sold. As the price increases, fewer tickets tend to be sold. What kind of association is this?

  95. 95.Most points on a scatterplot follow a straight trend, and one point sits far from that trend. What is that point called?

  96. 96.A trend line passes through (0, 2) and (4, 10). Using that line, what y-value is predicted when x = 3?

  97. 97.A scatterplot shows a positive association between two variables. Which conclusion is justified?

  98. 98.A trend line has equation y = 3x + 1. What y-value does the line predict when x = 4?

  99. 99.On a scatterplot, many points sit close together in one region. What is that group called?

  100. 100.A trend line has slope −2. What does the slope mean?

  101. 101.A trend line is y = 3x + 1. A data point is (2, 9). How does that point compare with the line?

  102. 102.The points on a scatterplot are spread out with no upward or downward pattern. What association do they show?

  103. 103.Which set of ordered pairs is a function?

  104. 104.For f(x) = 2x − 5, what is f(4)?

  105. 105.A table shows x = 1, 2, 3 and y = 5, 8, 11. What is the rate of change of y with respect to x?

  106. 106.A table shows x = 1, 2, 3 and y = 1, 4, 9. Is the relationship linear?

  107. 107.A rule says: multiply the input by 4, then subtract 1. What is the output when the input is 3?

  108. 108.Which graph represents a function?