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Georgia Milestones Assessment System Mathematics Grade 8

Slope, systems of equations, exponents, the Pythagorean theorem, and volume.

These questions are original. This is not an official Georgia Milestones Assessment System test, and FreeExam is not affiliated with the Georgia Department of Education.

  1. 1.A trail plaque at Stone Mountain lists a diagonal length of √50 meters. How should √50 be classified?

  2. 2.A stair model for Amicalola Falls uses √40 as a scale length. Between which two consecutive integers does √40 lie?

  3. 3.An Augusta Canal worksheet asks for the value of 6 raised to the power −2. What is 6⁻²?

  4. 4.A River Street cart rental in Savannah fits the equation 4x + 9 = 41, where x is the number of hours. What is x?

  5. 5.On an Atlanta BeltLine map, a ramp runs from (2, 3) to (8, 15), with both axes in meters. What is the slope?

  6. 6.A path on a Decatur grid has slope 2 and passes through the point (1, 3). Which equation matches the path?

  7. 7.A peach stand in Fort Valley uses the proportional rule y = 9x, with x crates and y dollars. What is y when x = 6?

  8. 8.A Lake Oconee sensor lists the pairs (1, 3), (2, 5), (3, 7), and (4, 9) for hours and a temperature change. Which description fits?

  9. 9.Two Marietta tour routes follow y = 2x + 1 and y = x + 4. What is the solution of the system?

  10. 10.A Dahlonega museum rule sends each ticket number n to the single credit 3n + 2. What credit does ticket 4 receive?

  11. 11.A right triangle trail has legs of 9 meters and 12 meters. What is the length of the hypotenuse?

  12. 12.A grain cylinder in Dublin has radius 5 feet and height 4 feet. Using 3.14 for π, what is the volume in cubic feet?

  13. 13.A map pin at Centennial Olympic Park starts at (2, 5) and is translated 3 units right and 4 units up. What are the image coordinates?

  14. 14.A model of a Stone Mountain trail sign is similar to the real sign, with scale factor 3 from the model to the sign. A model side is 5 inches. What is the corresponding side on the real sign?

  15. 15.Parallel streets in Midtown Atlanta are cut by a transversal. An interior angle between the streets measures 67 degrees. What is the alternate interior angle?

  16. 16.A depth printout on Lake Lanier shows 0.363636... with the block 36 repeating forever. What kind of number is that decimal?

  17. 17.A gorge-floor permit at Tallulah Gorge uses √20 meters. Which integer is closest to √20?

  18. 18.A scoreboard equation at Luther Williams Field in Macon includes 15⁰. What is the value of 15⁰?

  19. 19.A booth equation at the Georgia National Fair in Perry has the variable on both sides: 7x − 6 = 3x + 18. What is x?

  20. 20.A Jekyll Island bike path passes through (1, 7) and (9, 7) on a kilometer grid. What is the slope of the path?

  21. 21.A drainage line in Covington has slope −1 and passes through (4, 2). Which equation matches the line?

  22. 22.A rider on the Silver Comet Trail leaves mile 0 at a steady 12 miles per hour. Which equation gives the distance y miles after x hours?

  23. 23.An apple tally in Ellijay uses the pairs (1, 1), (2, 4), (3, 9), and (4, 16). Which description fits the tally?

  24. 24.A Columbus traffic plan uses the equations 2x + y = 10 and x − y = 2. What is the solution?

  25. 25.A Brunswick dock list pairs slip numbers with depths: (1, 8), (2, 11), (3, 14), and (2, 15). Why is this relation not a function?

  26. 26.A ladder against a River Street warehouse in Savannah forms a right triangle with the wall and the ground. The foot is 8 feet from the wall, and the top meets the wall 15 feet up. How long is the ladder?

  27. 27.A concrete column form in Augusta is a cylinder with diameter 10 feet and height 2 feet. Using 3.14 for π, what is the volume in cubic feet?

  28. 28.A marker on the Ocmulgee Heritage Trail in Macon starts at (7, 1). It is translated 2 units left and 6 units down. What is the image?

  29. 29.A map of Jekyll Island is similar to the island outline, with scale factor 2/5 from the island to the map. A beach on the island is 20 kilometers long. How long is the corresponding beach on the map?

  30. 30.Parallel rails at the Museum of Aviation in Warner Robins are cut by a transversal. One angle in a corresponding pair measures 118 degrees. What does the other corresponding angle measure?

  31. 31.The railing sketch at the Tybee Island lighthouse uses π. Which description of π is accurate?

  32. 32.Hikers at Cloudland Canyon estimate a slope distance of √75. Between which two consecutive integers does √75 lie?

  33. 33.A counter at the Dahlonega gold museum multiplies 3⁴ by 3². What is the product?

  34. 34.A bridge crew in Rome solves 2(x + 5) = 3x − 4. What is x?

  35. 35.Two bolts on a Fort Pulaski wall sit at (4, 0) and (4, 11). What is the slope of the line through those bolts?

  36. 36.A sidewalk in Madison has slope 1/2 and passes through (2, 5). Which equation matches the sidewalk?

  37. 37.A clerk in Thomasville needs a proportional relationship between x and y. Which equation is proportional?

  38. 38.A Satilla River gauge in Waycross records (0, 5), (1, 5), (2, 5), and (3, 5), with the second coordinate in feet. Which description fits?

  39. 39.Two BeltLine detours follow y = 3x + 2 and y = 3x − 5. How many solutions does the system have?

  40. 40.A Macon sensor records the pairs (1, 9), (2, 9), and (3, 9). Which statement is correct?

  41. 41.A right triangle brace under a Tybee pier has legs of 20 feet and 21 feet. What is the hypotenuse?

  42. 42.A cistern in Milledgeville is a cylinder with radius 4 meters and height 5 meters. Using 3.14 for π, what is the volume in cubic meters?

  43. 43.A fountain sketch in Forsyth Park plots a point at (4, −3). The point is reflected across the x-axis. What is the image?

  44. 44.Two trail triangles at Etowah Indian Mounds are similar. One angle of the smaller triangle measures 72 degrees. What is the corresponding angle of the larger triangle?

  45. 45.Parallel curbs in Savannah are cut by a transversal. One of two consecutive interior angles measures 54 degrees. What does the other consecutive interior angle measure?

  46. 46.A path sign at Ocmulgee Mounds reads 7/8 mile. What kind of number is 7/8?

  47. 47.A trail card for Kennesaw Mountain asks which integer is closest to √50. Which integer is that?

  48. 48.A levee calculation in Rome divides 5⁷ by 5⁴. What is the quotient?

  49. 49.A campus counter in Athens solves x/4 − 3 = 5. What is x?

  50. 50.A rim path at Providence Canyon drops from (1, 12) to (5, 4), with coordinates in meters. What is the slope?

  51. 51.A dock edge in Bainbridge is horizontal, so its slope is 0, and it passes through (3, −2). Which equation matches the dock edge?

  52. 52.A water tank in Griffin fills through the pairs (0, 0), (2, 6), and (5, 15), in hours and gallons. Which equation fits every pair?

  53. 53.A greenhouse count in Tifton doubles by the day: (1, 2), (2, 4), (3, 8), and (4, 16). Which description fits?

  54. 54.A Brunswick shuttle is described by both 2x + 4y = 8 and x + 2y = 4. How many solutions does the system have?

  55. 55.Which set of ordered pairs is a function from the first coordinate to the second?

  56. 56.A right triangle at the Kennesaw Mountain flag court has hypotenuse 41 feet and one leg 9 feet. What is the other leg?

  57. 57.A funnel at a pecan plant in Albany is a cone with radius 3 inches and height 10 inches. Using 3.14 for π, what is the volume in cubic inches?

  58. 58.An oak along the Wormsloe avenue is plotted at (−2, 6). The point is reflected across the y-axis. What is the image?

  59. 59.Two garden triangles at Fort Frederica are congruent. One side of the first triangle is 11 meters. What is the corresponding side of the second triangle?

  60. 60.Parallel fence lines at a Thomasville rose garden are cut by a transversal. One exterior angle measures 81 degrees. What is the alternate exterior angle?

  61. 61.From a service post at Brasstown Bald, a crew measures √16 kilometers along a straight access road. What kind of number is √16?

  62. 62.A Flint River sketch at Sprewell Bluff uses √12 for a diagonal in feet. Between which two consecutive integers does √12 lie?

  63. 63.A cabin plan in Helen simplifies (2³)². What is that value?

  64. 64.A canal tour in Augusta is limited by the inequality 5x − 2 > 18. Which solution set matches x?

  65. 65.An approach trail near Amicalola Falls rises 480 feet over a horizontal run of 1200 feet. What is the slope in lowest terms?

  66. 66.A campus walk in Statesboro has slope 3 and passes through the y-intercept point (0, 4). Which equation matches the walk?

  67. 67.A pump at Lake Sinclair adds 8 gallons per minute to an empty tank. How many gallons are in the tank after 15 minutes?

  68. 68.A Lake Hartwell reading uses the pairs (0, 1), (2, 7), (4, 13), and (6, 19). Which description fits?

  69. 69.Campus paths in Athens follow x + y = 9 and x − y = 3. What is the solution?

  70. 70.A fair booth in Perry uses the rule output = 2q, where q is the number of tokens and the output is the number of tickets. How many tickets does the rule assign when q = 7?

  71. 71.A garden plot in Madison has side lengths 10 yards, 24 yards, and 26 yards. Does the angle opposite the 26-yard side form a right triangle with the other two sides?

  72. 72.A sand pile on Tybee Beach is a cone with radius 9 feet and height 2 feet. Using 3.14 for π, what is the volume in cubic feet?

  73. 73.A picnic pin in Piedmont Park is at (2, 5). It is rotated 90 degrees clockwise about the origin. What is the image?

  74. 74.Two similar triangles at Andersonville National Historic Site have corresponding sides in the ratio 3 to 5, smaller to larger. A side of the smaller triangle is 9 feet. What is the corresponding side of the larger triangle?

  75. 75.Parallel boardwalk edges at Okefenokee Swamp Park are cut by a transversal. An interior angle measures 150 degrees. What is the consecutive interior angle on the same side of the transversal?

  76. 76.Surveyors along the Satilla River add an offset of √9 meters to an offset of √2 meters. What kind of number is the sum √9 + √2?

  77. 77.From the West Palisades trailhead on the Chattahoochee, a ranger estimates √90 without a calculator. Which integer is closest to √90?

  78. 78.A Vidalia onion warehouse records 0.00072 ton in a sample drawer. Which expression is 0.00072 in scientific notation?

  79. 79.A river gauge in Columbus is modeled by −4x ≤ 20. Which solution set is correct?

  80. 80.A museum ramp in Warner Robins rises 6 feet across a horizontal run of 24 feet. What is the slope of the ramp?

  81. 81.A line on an Adamson Square map in Carrollton has slope 4 and passes through (1, 1). Which ordered pair also lies on that line?

  82. 82.A downtown Savannah carriage charges 3 dollars plus 2 dollars per mile. Which statement describes the charge y dollars for x miles?

  83. 83.A mill gauge in Dalton lists (1, 10), (2, 8), (3, 5), and (4, 1). Which description fits the gauge?

  84. 84.A LaGrange schedule lists 4x + 2y = 12 and 4x + 2y = 7. How many solutions does the system have?

  85. 85.At Vogel State Park, rule A assigns each camper that camper’s one cabin number. Rule B assigns each camper every trail that camper hiked, and some campers hiked more than one trail. Which statement is correct?

  86. 86.A lot in Decatur has sides of 6 meters, 7 meters, and 10 meters. Could these be the side lengths of a right triangle?

  87. 87.A survey marker in Dahlonega is a cone with diameter 6 centimeters and height 4 centimeters. Using 3.14 for π, what is the volume in cubic centimeters?

  88. 88.A footbridge point at High Falls is plotted at (3, 1). It is rotated 90 degrees counterclockwise about the origin. What is the image?

  89. 89.Which pair of triangles must be similar because their angle measures match?

  90. 90.A transversal crosses two lines on a Brunswick wharf. One pair of consecutive interior angles measures 88 degrees and 92 degrees. What should a surveyor conclude?

  91. 91.A board at the Folkston entrance to the Okefenokee shows the length 4√3 meters. What kind of number is 4√3?

  92. 92.The Port of Savannah multiplies the factors 2.5 × 10³ and 4 × 10². What is the product in scientific notation?

  93. 93.A pecan-shed tally in Valdosta fits 9x + 1 < 4x + 21. Which solution set is correct?

  94. 94.A Chattahoochee gauge near Vinings reads 1 foot at 0 hours, 7 feet at 2 hours, and 13 feet at 4 hours. What is the slope of the line through those records?

  95. 95.A Rome map uses y = −x + 6 and 2x + 2y = 12. How many solutions does the system have?

  96. 96.A boat on Lake Seminole travels 8 kilometers due east and then 15 kilometers due north, forming a right triangle with the straight route back. How long is that straight route?

  97. 97.A buoy off St. Simons Island is a sphere with radius 3 feet. Using 3.14 for π, what is the volume in cubic feet?

  98. 98.A garden point at Callaway Gardens is at (4, −1). It is rotated 180 degrees about the origin. What is the image?

  99. 99.Two similar flower beds at Pine Mountain have scale factor 4 from the smaller bed to the larger bed. The smaller perimeter is 13 meters. What is the larger perimeter?

  100. 100.A transversal crosses two painted lines in a Marietta crosswalk. One pair of alternate interior angles measures 40 degrees and 45 degrees. What should a surveyor conclude?

  101. 101.A research freezer in Druid Hills holds a count written as (8.4 × 10⁶) ÷ (2 × 10²). What is the quotient in scientific notation?

  102. 102.A loading rule in Albany is 3(2x − 1) = 4x + 11. What is x?

  103. 103.During a dry week, the Lake Allatoona level falls 18 inches in 6 hours at a steady rate. What is that rate of change in inches per hour?

  104. 104.A guide at Kolomoki Mounds near Blakely uses 3x + y = 11 and y = 2. What is the solution?

  105. 105.A right triangle roof frame in Hamilton has a horizontal leg of 12 feet and a vertical leg of 5 feet. The rafter is the hypotenuse. How long is the rafter?

  106. 106.A spherical tank at the Georgia Aquarium has radius 6 meters. Using 3.14 for π, what is the volume in cubic meters?

  107. 107.Two Lake Lanier survey codes are labeled 3.6 × 10⁵ and 3.6 × 10⁴. Which comparison is correct?

  108. 108.An Oconee River marker in Dublin satisfies 15 − 2x = 3x. What is x?