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Georgia Milestones Assessment System Mathematics Grade 6

Ratios, rates, percents, expressions, equations, and area.

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.During a two-day count in Athens, Monday had 1,248 bus boardings and Tuesday had 976. How many boardings were recorded for the two days together?

  2. 2.A history hall in Columbus sold 3,600 tickets and later refunded 845 of them. How many tickets stayed sold?

  3. 3.Tomato seedlings fill 24 rows of the school garden, with 18 plants in every row. How many tomato plants are growing there?

  4. 4.Trail crews on Blue Ridge share 1,176 markers equally among 14 crews. How many markers does each crew receive?

  5. 5.Depth checks at two docks on the Chattahoochee read 4.75 meters and 3.6 meters. What is the sum of those two readings?

  6. 6.Painters in Athens started with 12.8 liters of paint and finished with 4.35 liters still in the cans. How many liters did they use?

  7. 7.Jars of honey at a Blue Ridge stand sell for $3.25 each. What is the cost of 8 jars?

  8. 8.A lab pours 9.6 liters of Chattahoochee water into bottles that each hold 0.8 liter. How many bottles are filled?

  9. 9.A Blue Ridge cabin recipe lists 3/4 cup of oats, but the cook uses only 1/3 of that measured amount. How many cups go into the pot?

  10. 10.Before lunch a paddler on the Chattahoochee covers 5/6 mile, and after lunch the paddler covers another 1/4 mile. What is the total distance?

  11. 11.A craft booth in Columbus starts with 2 1/2 yards of ribbon and cuts off 7/8 yard. How much ribbon is left?

  12. 12.The school garden has 3/4 pound of basil to split equally among 6 planters. How much basil goes into each planter?

  13. 13.At a Columbus transit stop, one bus arrives every 12 minutes and another arrives every 18 minutes. They just left together. In how many minutes will they next leave together?

  14. 14.The school garden will pack 36 marigold pots and 48 zinnia pots into identical groups, using every pot. What is the greatest number of groups that can be made?

  15. 15.At dawn the temperature in Athens was −4°F. By noon it had risen 11 degrees. What was the noon temperature?

  16. 16.A Blue Ridge morning temperature of 6°F fell 9 degrees before breakfast. What was the new temperature?

  17. 17.A gauge on the Chattahoochee stands 2.5 feet above the normal line, and then the water drops 4 feet. What is the new reading compared with normal?

  18. 18.A Columbus weather board lists −2°F, −7°F, 3°F, and −4°F. Which temperature is farthest to the left on a number line?

  19. 19.Students in Athens compare signed temperatures. Which comparison is true?

  20. 20.After a trip, a Columbus club account showed a balance of −$18. The club then deposited $25. What was the new balance?

  21. 21.Before sunrise, the school garden thermometer shows −12°C. What is the opposite of −12?

  22. 22.Which of these signed readings from the Chattahoochee lies between −3 and −1 on a number line?

  23. 23.Planners at a Columbus transit stop list elevation changes of 1 foot, −6 feet, −1 foot, and 4 feet. Which list orders them from least to greatest?

  24. 24.Overnight, the temperature in Athens fell from 3°C to −5°C. How many degrees did it fall?

  25. 25.A cabin thermometer on Blue Ridge reads −8°F. What is the absolute value of that reading?

  26. 26.A flood gauge on the Chattahoochee showed −15 feet one week and 9 feet the next week. Which reading has the greater absolute value?

  27. 27.On a Columbus street diagram, a transit stop is at −6 and the depot is at 0. How many blocks separate the stop from the depot?

  28. 28.A soil sensor in the school garden reports a change whose absolute value is 7. Which change matches that report?

  29. 29.A delivery log in Athens records one move as −4 blocks and another move as 3 blocks. What is the value of |−4| + |3|?

  30. 30.Tide notes in Columbus list one reading of −9 feet and another of 5 feet. What is |−9| − |5|?

  31. 31.Which comparison of absolute values is true for temperatures recorded near Blue Ridge?

  32. 32.A bus reaches an Athens transit stop 2.5 minutes early, and the log records that as −2.5. What is |−2.5|?

  33. 33.A stand in Columbus sells 12 baskets of peaches for $30. What is the unit price of one basket?

  34. 34.The school garden keeps 5 pepper plants for every 3 tomato plants. There are 15 pepper plants. How many tomato plants are there?

  35. 35.A bus leaving a Columbus transit stop travels 96 miles in 2 hours at a steady speed. What is the unit rate in miles per hour?

  36. 36.Marigold blooms and zinnia blooms in the school garden are in the ratio 4:6. Which ratio is equivalent to 4:6?

  37. 37.Of the 80 seedlings started in the school garden, 25% are basil. How many seedlings are basil?

  38. 38.An Athens bookstore takes 15% off a $40 atlas. What is the amount of the discount?

  39. 39.A market on Blue Ridge sells 5 jars of honey for $18. What is the price of one jar?

  40. 40.A rental on the Chattahoochee sets out 2 life jackets for every kayak. How many life jackets are needed for 9 kayaks?

  41. 41.At an Athens transit stop, 35% of the 200 riders transfer to a second bus. How many riders transfer?

  42. 42.Which pair of counts shows equivalent ratios of painted tiles to plain tiles on a Columbus mural?

  43. 43.The school garden mixed 18 cups of compost with 24 cups of soil. What is the ratio of compost to soil in simplest form?

  44. 44.Peach tea served in Columbus uses 3 cups of water for every 2 cups of tea. How many cups of water are needed for 8 cups of tea?

  45. 45.Red markers and blue markers at an Athens transit booth are in the ratio 5:2. There are 20 red markers. How many blue markers are there?

  46. 46.In one bed of the school garden, 12 of the 30 plants are beans. What percent of the plants are beans?

  47. 47.A bed in the school garden is 7 feet long. How many inches is that length?

  48. 48.A dock plank on the Chattahoochee measures 3.5 meters. How many centimeters long is the plank?

  49. 49.A kitchen in Columbus prepares 6 quarts of soup for a community meal. How many pints of soup is that?

  50. 50.The overlook on Blue Ridge is 2.4 kilometers from the trailhead. How many meters is that distance?

  51. 51.A ride that begins at a Columbus transit stop lasts 2.5 hours. How many minutes is that ride?

  52. 52.The fence around the school garden is 15 yards long. How many feet of fencing is that?

  53. 53.Students collect 4.2 liters of water from the Chattahoochee. How many milliliters did they collect?

  54. 54.A greenhouse in Athens measures out 5 gallons of water for the pots. How many quarts of water is that?

  55. 55.A plant label in the school garden is 8.5 centimeters wide. How many millimeters wide is the label?

  56. 56.A bag of soil for the school garden has a mass of 2.75 kilograms. How many grams is that mass?

  57. 57.A triangular bed in the school garden has a base of 10 feet and a height of 6 feet. What is the area of the bed?

  58. 58.Painters cover a rectangular wall in Athens that is 14 feet long and 8 feet high. What is the area of the wall?

  59. 59.A parallelogram banner at a Columbus transit stop has a base of 9 meters and a height of 4 meters. What is its area?

  60. 60.A trapezoidal plot beside the Chattahoochee has parallel sides of 8 meters and 12 meters and a height of 5 meters. What is its area?

  61. 61.A right triangular clearing on a Blue Ridge map has legs of 9 centimeters and 12 centimeters. What is the area of the clearing?

  62. 62.A school garden sign joins a 10-inch by 6-inch rectangle to a right triangle with base 4 inches and height 6 inches. What is the total area?

  63. 63.Each square tile in an Athens courtyard has a side length of 11 inches. What is the area of one tile?

  64. 64.A parallelogram flag for the school garden has a base of 7.5 feet and a height of 4 feet. What is the area of the flag?

  65. 65.A triangular sail used on the Chattahoochee has a base of 9 feet and a height of 4.5 feet. What is the area of the sail?

  66. 66.A school garden plot is a 12-meter by 5-meter rectangle with a triangle of base 12 meters and height 4 meters joined to one side. What is the total area?

  67. 67.A triangular lawn in Columbus has an area of 36 square feet and a base of 9 feet. What is the height of the triangle?

  68. 68.The rectangular floor of a Columbus transit shelter has an area of 96 square feet and a width of 8 feet. What is the length?

  69. 69.A crate in the school garden is a right rectangular prism 8 inches long, 5 inches wide, and 4 inches high. What is its volume?

  70. 70.A sample box from the Chattahoochee measures 6 centimeters by 3 centimeters by 2.5 centimeters. What is the volume of the box?

  71. 71.A gift box in Athens is a right rectangular prism 10 centimeters long, 4 centimeters wide, and 3 centimeters high. What is its surface area?

  72. 72.A cooler at a Columbus transit stop is a right rectangular prism with volume 240 cubic inches, length 10 inches, and width 6 inches. What is the height?

  73. 73.A cube-shaped planter in the school garden has edges of 5 inches. What is the surface area of the planter?

  74. 74.A cube-shaped storage bin on Blue Ridge has edges of 6 feet. What is the volume of the bin?

  75. 75.A tackle box used on the Chattahoochee is a right rectangular prism 8 inches by 2 inches by 1.5 inches. What is its surface area?

  76. 76.A soil form in the school garden is a right rectangular prism that is 1/2 foot by 1/2 foot by 4 feet. What is its volume?

  77. 77.A map box for the Chattahoochee is 7 centimeters by 3 centimeters by 2 centimeters. What is the combined area of its two largest faces?

  78. 78.Students in Athens pack 2-inch cubes into a right rectangular box that is 6 inches long, 4 inches wide, and 2 inches high, with no gaps. How many cubes fit?

  79. 79.An Athens transit ride costs $2 plus $0.75 for each extra zone. Which expression gives the cost of a ride with z extra zones?

  80. 80.A score sheet on Blue Ridge shows the expression 4³ + 6 × 2. What is its value?

  81. 81.The school garden uses the expression 3n + 5 to plan seedlings. How many seedlings does the expression give when n = 7?

  82. 82.Each of 4 matching panels on a Columbus mural needs x feet of trim plus 6 feet of border. Which expression is equivalent to 4(x + 6)?

  83. 83.An order for the school garden is written as 7y + 3 + 2y. Which expression shows that sum after like terms are combined?

  84. 84.A display card at an Athens library uses the expression 2⁵ − 10. What is the value of the expression?

  85. 85.A mileage note for the Chattahoochee says “5 less than the product of 8 and k.” Which expression matches the note?

  86. 86.A temperature rule used on Blue Ridge is 6 − 2p. What is the value of the expression when p = −3?

  87. 87.A counter at a Columbus transit office computes 18 − 6 ÷ 3 + 1. What is the result?

  88. 88.The school garden budget is written as 12 + 8n. Which expression is equivalent?

  89. 89.The school garden equation x + 9 = 23 gives the number of tomato cages after 9 more are added. What is x?

  90. 90.A trail plan on Blue Ridge uses the equation y − 15 = 28. What is the value of y?

  91. 91.Vans leaving an Athens transit stop follow the equation 6n = 54. What is n?

  92. 92.A museum schedule in Columbus uses the equation t/4 = 7. What is the value of t?

  93. 93.Extra dollars for the school garden fund must satisfy x + 6 > 20. Which inequality describes x?

  94. 94.Trips in a boat on the Chattahoochee are allowed only when 3n ≤ 18. Which inequality describes n?

  95. 95.A snack price in Athens satisfies p + 2.5 = 9. What is p?

  96. 96.A trail crew on Blue Ridge solves (2/3)w = 8. What is w?

  97. 97.Which number is a solution of the inequality n − 4 < 5 used by a Columbus transit planner?

  98. 98.Eight buses arrived at an Athens transit stop and brought the total to 27. Which equation finds s, the number of buses already there?

  99. 99.A landmark in Athens is graphed at (−3, 4). In which quadrant is that point?

  100. 100.A fountain in Columbus is plotted 4 units left of the origin and 3 units down. What are its coordinates?

  101. 101.One side of a polygon in the school garden runs from (1, 2) to (1, 9). What is the length of that side?

  102. 102.Trail posts on Blue Ridge stand at (−6, 3) and (2, 3). How long is the segment that joins them?

  103. 103.Which point for a transit stop lies on the x-axis?

  104. 104.Three corners of a rectangle in an Athens park are (−2, 3), (4, 3), and (4, −1). What is the fourth corner?

  105. 105.A rectangular plot in the school garden has vertices (2, 1), (8, 1), (8, 6), and (2, 6). What is the length of a horizontal side?

  106. 106.A vertical side of a Blue Ridge lookout runs from (0, −2) to (0, 9). What is the length of that side?

  107. 107.A plaza feature in Columbus is graphed at (1/2, −3). In which quadrant is that point?

  108. 108.A rectangular dock on the Chattahoochee has corners at (0, 0), (6, 0), (6, 4), and (0, 4). Each grid unit is 1 meter. What is the area of the dock?