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Georgia Milestones Assessment System Mathematics Grade 7

Proportions, rational numbers, equations, circles, and probability.

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.At dawn a tide board on River Street in Savannah reads 2.4 feet below the dock, recorded as -2.4 feet. By noon the tide has risen 5.1 feet. What is the noon reading?

  2. 2.Before a storm, Lake Lanier sits 3.5 feet under the summer guide curve, written as -3.5 feet. Rain then lifts the lake 1.25 feet. What is the level relative to the guide curve after the rain?

  3. 3.A weather station in Blairsville records -6°F at sunrise. By midmorning the temperature has risen 11 degrees. What is the midmorning temperature?

  4. 4.A pecan buyer in Albany starts the week owing money, shown as a balance of -$48.60. A customer payment of $75 is added. What is the balance after that payment?

  5. 5.On a ridge trail near Helen, a hiker is 2/3 mile below a trail sign. The hiker then climbs 1 1/2 miles. How far above the sign is the hiker after the climb?

  6. 6.On a practice sheet in Macon, one score change is -4.5 points and the next change is -2.75 points. What is the combined change?

  7. 7.One January afternoon on Tybee Island, the high temperature is 18.6°F and the low temperature is -3.4°F. How many degrees is the high above the low?

  8. 8.At Brasstown Bald the morning reading is -8.2°C and the afternoon reading is -1.7°C. By how many degrees did the temperature rise?

  9. 9.A shop ledger in Rome, Georgia, shows a balance of -$15.40. A fee of $8.25 is then subtracted. What is the new balance?

  10. 10.A tunnel tour in Dahlonega starts 1/2 meter above the tunnel floor and ends 3/4 meter below the floor. What is the change in height, found by subtracting the starting height from the ending height?

  11. 11.The air at the top of Stone Mountain is -2.5°C, and the air at the base is 6.75°C. How many degrees warmer is the base than the top?

  12. 12.Each peach crate that enters a cooler in Fort Valley changes the thermostat by -1.5 degrees. Eight crates go in. What is the total change?

  13. 13.A roadside stand in Vidalia loses $2.40 on each of 15 onion bags. If each loss is recorded as -2.40 dollars, what is the total as a signed number?

  14. 14.A cabin thermometer in Clayton falls at a rate of -2.5°F per hour for 3.2 hours. What is the temperature change over that time?

  15. 15.In a student shop at Georgia Tech, a signed gear ratio of -6 is multiplied by a signed distance of -3.5 inches. What is the product?

  16. 16.A kitchen scale card in Macon asks for the product of -5/6 and 3/10. What is that product?

  17. 17.Eight vendors at the cherry-blossom market in Macon share a loss of $36 equally. If the loss is written as -36 dollars, what is each vendor's signed share?

  18. 18.During a cold front in Dahlonega, the temperature drops 7.2 degrees over 1.6 hours. What is the average change per hour, written as a signed number?

  19. 19.A trail crew near Amicalola Falls divides a signed length of -3/4 mile by 1/2. What is the quotient?

  20. 20.A class in Statesboro computes (-2/5) ÷ (-4/15). What is the quotient?

  21. 21.A ramp at Cloudland Canyon drops 15.6 meters in all. The drop is written as -15.6 meters and is split into 4 equal sections. What is the signed change for one section?

  22. 22.A freezer in Tifton is 8.5 degrees below its target, recorded as -8.5 degrees. That difference is divided equally between 2 sensors. What signed share does each sensor get?

  23. 23.A fence sketch in Perry uses the expression 6x - 4 + 3x + 9, where x is the number of panels. Which expression is equivalent?

  24. 24.A banner measurement in Forsyth Park is given by 4(2y - 3) - y. Which expression is equivalent?

  25. 25.A recipe card in Madison uses (1/2)x + (3/4)x - 2. Which expression is equivalent?

  26. 26.A lumber note in Waycross uses 2(3n - 1) - 4(n + 2). Which expression is equivalent?

  27. 27.A temperature formula used in Blue Ridge is 3x - 7. What is the value when x = -4?

  28. 28.A scoring rule at a tournament in LaGrange is 4a - 2b. What is the value when a = -3 and b = 5?

  29. 29.A dye formula in Dalton is -2(m + 9). What is the value when m = -6?

  30. 30.A mileage expression for a delivery van in Americus is 2.5p - 1.5. What is the value when p = -2?

  31. 31.At a kiosk on the Atlanta BeltLine, 3 trail maps plus a $5 donation cost $26, so 3x + 5 = 26. What is the price x of one map?

  32. 32.A cold-storage log in Cordele uses the equation 5x - 8 = -23. What is the value of x?

  33. 33.A canoe rental on the Flint River in Albany uses (2/3)x - 4 = 6. What is x?

  34. 34.A bait shop in St. Marys uses 1.5x + 2.4 = 9.9, where x is the price in dollars of one pound of shrimp. What is x?

  35. 35.A stage crew in Milledgeville solves 4(x + 3) = -8 for the position x of a light. What is x?

  36. 36.A tour boat on the Savannah River keeps the safety rule -2x > 10, where x is the draft setting. Which inequality gives every solution for x?

  37. 37.A library in Decatur can add chairs only while 3x - 4 ≤ 11, where x is the number of extra chairs. Which inequality is the solution?

  38. 38.A water rule along the Ocmulgee River in Macon is -5x + 2 < 17. Which inequality is the complete solution for x?

  39. 39.Hikers on a trail at Tallulah Gorge may continue only when x/2 + 6 ≥ 1. Which inequality shows every value of x that works?

  40. 40.A peach packer in Washington, Georgia, needs 4x + 6 < 30, where x is the weight in pounds in each of four boxes and 6 pounds is the crate. Which inequality describes every allowed value of x?

  41. 41.Peaches at a Fort Valley stand sell at a steady rate of $6 for 3 pounds. At that same rate, what is the cost of 8 pounds?

  42. 42.A stew recipe from Brunswick uses 2 cups of broth for every 5 servings. How many cups of broth are needed for 15 servings?

  43. 43.A kayak rental on the Etowah River in Rome charges $18 for 2 hours and $45 for 5 hours, and the charge is proportional to the time. What is the charge for 7 hours?

  44. 44.One copy shop in Athens uses c = 0.12p, and another uses c = 0.12p + 2, where c is the cost in dollars and p is the number of pages. Which rule is a proportional relationship between cost and pages?

  45. 45.A market in Darien sells shrimp so that 4 pounds cost $36, and the cost is proportional to the weight. What is the constant of proportionality in dollars per pound?

  46. 46.The graph of a proportional relationship for miles and hours on the Silver Comet Trail passes through (3, 12). What is the constant of proportionality k in y = kx?

  47. 47.A school garden in Griffin uses 2.5 gallons of water for every 10 tomato plants, and the amount of water is proportional to the number of plants. What is the constant of proportionality in gallons per plant?

  48. 48.The equation y = (3/5)x gives the cups of glaze for x tiles at a studio in Thomasville, and y is proportional to x. What is the constant of proportionality?

  49. 49.A distance-time graph for a ride on the Silver Comet Trail is proportional. It passes through (0, 0) and (2, 16). Which other point lies on that graph?

  50. 50.A class in Columbus compares four equations. Which equation has a graph that is a straight line through the origin?

  51. 51.A mower log in Carrollton shows gallons x and miles y as the pairs (0, 0), (2, 6), and (4, 12). The pairs lie on a straight line through the origin. How many miles correspond to 5 gallons?

  52. 52.A cab in Midtown Atlanta charges $2.50 plus $1.75 per mile. What is the cost of a 0-mile ride, the value that shows the graph of cost versus miles does not pass through the origin?

  53. 53.Visitors at a festival in Dahlonega increase from 400 to 460. What is the percent increase?

  54. 54.A jar of honey from Blairsville goes from $8 to $10. What is the percent increase?

  55. 55.A trail counter at Sweetwater Creek State Park recorded 240 hikers last Saturday. This Saturday the count is 15% higher. How many hikers were counted this Saturday?

  56. 56.Bus ridership on a route in Augusta rises from 1,200 riders to 1,272 riders. What is the percent increase?

  57. 57.A cabin rental in Blue Ridge drops from $200 a night to $170 a night. What is the percent decrease?

  58. 58.A nursery in Cairo, Georgia, marks a $48 shrub down by 25%. What is the sale price?

  59. 59.Attendance at a Friday game in Valdosta falls from 8,000 to 7,200. What is the percent decrease?

  60. 60.A souvenir on River Street in Savannah costs $40 before a 7% sales tax. What is the total price including tax?

  61. 61.A museum ticket in Atlanta costs $25 before tax. What is the amount of an 8% sales tax on that ticket?

  62. 62.A meal in Macon costs $18.50 before an 8% sales tax. What is the tax amount?

  63. 63.A book on Broad Street in Augusta costs $15 before a 6% sales tax. What is the total cost?

  64. 64.A jacket in a shop on the Decatur square costs $60 and is discounted 20%. What is the discount amount?

  65. 65.A kayak lesson on St. Simons Island costs $80 and is offered at a 15% discount. What is the sale price before tax?

  66. 66.A bike helmet in Roswell costs $50. The shop takes 10% off, then adds 8% sales tax on the discounted price. What is the final cost?

  67. 67.A candle from a shop in Helen was $24 and is now on sale for $18. What is the percent discount?

  68. 68.A map of towns in Georgia uses the scale 1 inch = 8 miles. Two towns are 3.5 inches apart on the map. What is the actual distance between the towns?

  69. 69.A garden plan at Callaway Gardens in Pine Mountain uses the scale 1 centimeter = 2 meters. A path measures 6.5 centimeters on the plan. What is the actual length of the path?

  70. 70.The actual distance from Marietta Square to a nearby park is 4.5 miles. On a map with the scale 1 inch = 3 miles, how many inches apart are the two places?

  71. 71.A model of Fort Pulaski uses the scale 1 inch = 20 feet. A wall is 3.5 inches long on the model. What is the actual length of the wall?

  72. 72.A floor plan of a classroom in Warner Robins uses the scale 1:50. A hallway is 8 centimeters on the plan. What is the actual length of the hallway in centimeters?

  73. 73.A circular flower bed in Piedmont Park has a radius of 10 feet. Using 3.14 for pi, what is the circumference?

  74. 74.A circular rug in a cabin in Ellijay has a diameter of 8 feet. Using 3.14 for pi, what is the circumference?

  75. 75.A festival wheel in Perry has a radius of 7 inches. Using 22/7 for pi, what is the circumference?

  76. 76.A round coaster in a cafe on River Street in Savannah has a radius of 3 centimeters. Using 3.14 for pi, what is the circumference?

  77. 77.A circular sandbox at a park in Smyrna has a radius of 5 feet. Using 3.14 for pi, what is the area?

  78. 78.A circular stage at the Georgia National Fair in Perry has a radius of 10 feet. Using 3.14 for pi, what is the area of the stage?

  79. 79.A round table in a restaurant in Athens has a diameter of 4 feet. Using 3.14 for pi, what is the area of the tabletop?

  80. 80.A circular garden in Madison has a radius of 7 meters. Using 22/7 for pi, what is the area?

  81. 81.A coach in Grant Park marks a circular practice loop with a radius of 20 meters. Using 3.14 for pi, how long is one lap around the loop?

  82. 82.A circular pad at a field near Hinesville has a radius of 6 meters and needs paint. Using 3.14 for pi, what is the area to be painted?

  83. 83.A bicycle wheel in a shop in Canton has a diameter of 26 inches. Using 3.14 for pi, how far does the wheel travel in one full turn?

  84. 84.A sprinkler in a yard in Peachtree City waters a circle with a radius of 9 feet. Using 3.14 for pi, what is the area watered?

  85. 85.A closed gift box in a shop in Vinings is a rectangular prism 6 inches long, 4 inches wide, and 3 inches high. What is its surface area?

  86. 86.A closed crate at the State Farmers Market in Forest Park is a rectangular prism 5 feet long, 2 feet wide, and 2 feet high. What is its surface area?

  87. 87.A cube-shaped granite sample at a museum in Elberton has edges of 4 feet. What is the surface area of the cube?

  88. 88.A closed cooler is a rectangular prism 10 centimeters long, 8 centimeters wide, and 5 centimeters high. A camp shop in Dublin, Georgia, wants the surface area for a vinyl wrap. What is the surface area?

  89. 89.A rectangular planter in a courtyard in Macon is 8 feet long, 3 feet wide, and 2 feet deep. What volume of soil can it hold when filled?

  90. 90.An aquarium tank in a classroom in Savannah is a rectangular prism 20 inches long, 10 inches wide, and 12 inches high. What is the volume of the tank?

  91. 91.A storage bin at Vogel State Park is a rectangular prism with length 6 feet, width 2.5 feet, and height 2 feet. What is the volume?

  92. 92.A tent on Cumberland Island has the shape of a right triangular prism. The triangular end has a base of 6 meters and a height of 4 meters, and the tent is 5 meters long. What is the volume?

  93. 93.A shipping carton in Pooler is a right rectangular prism 8 inches by 5 inches by 4 inches. A straight cut parallel to the 8-inch by 5-inch bottom passes all the way through the carton. What is the shape of the slice?

  94. 94.A cube of peanut brittle at a candy counter on River Street in Savannah is sliced by a plane parallel to one face. What is the shape of the slice?

  95. 95.A tent pitched at a campground on Jekyll Island has the shape of a right triangular prism. A cut parallel to the two triangular ends passes through the tent. What is the shape of the slice?

  96. 96.A wooden beam in a Dalton workshop is a right prism with square ends that measure 3 inches by 3 inches. The beam is 15 inches long. A cut parallel to a square end passes through the beam. What is the shape of the slice?

  97. 97.A spinner at a school fair in Gainesville has 8 equal sections: 3 red, 2 blue, 1 green, and 2 yellow. Each section is equally likely. What is the probability that the spinner lands on green?

  98. 98.A bag in a classroom in Newnan holds 5 red marbles, 3 white marbles, and 2 black marbles. One marble is drawn at random. What is the probability that it is white?

  99. 99.A number cube used in a game in Kennesaw has faces numbered 1 through 6, and each face is equally likely. What is the probability of rolling a number greater than 4?

  100. 100.Cards numbered 1 through 10 are in a box at a library in Statesboro. One card is drawn at random, and each number is equally likely. What is the probability that the number is prime?

  101. 101.A marina in St. Marys lays out 5 equally likely outing tags: sail, kayak, ferry, walk, and museum. A visitor picks one tag at random. What is the probability that the tag says ferry?

  102. 102.A jar in Adel contains 4 pennies, 6 nickels, and 5 dimes. One coin is taken at random. What is the probability that the coin is a nickel?

  103. 103.At a booth in Alpharetta, a coin lands on heads (H) or tails (T) and a number cube lands on 1, 2, 3, 4, 5, or 6. The 12 equally likely outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of heads and a 6?

  104. 104.Two spinners are used at a festival in Hiawassee. The first has equal sections A, B, and C. The second has equal sections 1 and 2. The sample space is A1, A2, B1, B2, C1, and C2, and each outcome is equally likely. What is the probability of an outcome whose letter is not C and whose number is 2?

  105. 105.Two fair coins are flipped at a statistics club in Athens. The sample space is HH, HT, TH, and TT, and each outcome is equally likely. What is the probability of getting one heads and one tails?

  106. 106.Two number cubes are rolled at a game table in Macon. Each cube shows 1 through 6, so there are 36 equally likely outcomes. The outcomes with a sum of 7 are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). What is the probability that the sum is 7?

  107. 107.A locker in Douglasville holds two red shirts, called R1 and R2, and one blue shirt, B. A student picks a shirt at random and does not replace it, then picks a second shirt. The six equally likely outcomes are (R1, R2), (R1, B), (R2, R1), (R2, B), (B, R1), and (B, R2). What is the probability that both shirts are red?

  108. 108.A lunch line in a school in Covington offers one sandwich and one drink. Sandwiches are ham or veggie. Drinks are milk, juice, or water. The sample space is ham-milk, ham-juice, ham-water, veggie-milk, veggie-juice, and veggie-water, and each outcome is equally likely. What is the probability of veggie and juice?