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Virginia Standards of Learning Mathematics Grade 6

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

These questions are original. This is not an official Virginia Standards of Learning test, and FreeExam is not affiliated with the Virginia Department of Education.

  1. 1.A Suffolk stand sells 16 pounds of peanuts for $12. What is the price of one pound?

  2. 2.A history museum in Williamsburg welcomes 80 visitors, and 25% of them are students. How many visitors are students?

  3. 3.A craft club in Harrisonburg has 3/4 yard of ribbon. The club cuts it into pieces that are each 1/8 yard long. How many pieces does the club get?

  4. 4.A family crossing bridges near Hopewell pays tolls of $2.75, $2.75, and $1.50. What is the total toll?

  5. 5.A car in a Crystal City garage is parked on level -2. The driver rides the elevator up 5 levels. On which level does the driver get out?

  6. 6.A coastal map used in a Virginia Beach class plots a buoy at (4, -3). In which quadrant is that point?

  7. 7.A planetarium in Richmond charges $4 for each student ticket. Which expression is the cost of tickets for n students?

  8. 8.A number puzzle in a Roanoke classroom says x + 9 = 22. What is the value of x?

  9. 9.A rectangular vegetable bed in Albemarle County is 12 feet long and 7 feet wide. What is the area of the bed?

  10. 10.A shipping carton in a Suffolk warehouse is 5 inches long, 4 inches wide, and 3 inches high. What is the volume of the carton?

  11. 11.Five riders in a Harrisonburg club biked 4, 6, 6, 8, and 11 miles. What is the mean distance?

  12. 12.An orchard counter in Winchester sets out 6 cups of apple cider next to 2 cups of cranberry juice. What is the ratio of cider to juice in simplest form?

  13. 13.A sports shop in Hampton takes 15% off a $40 jersey. How many dollars is the discount?

  14. 14.A cook in Abingdon fills bowls with 1/2 cup of broth. The pot holds 5/2 cups. How many bowls can be filled?

  15. 15.A shopper at a Richmond farmers market pays with a $10 bill for produce that costs $6.48. How much change should the shopper receive?

  16. 16.A weather log in Highland County lists morning temperatures of 2°F, -5°F, and -1°F. Which list orders the temperatures from least to greatest?

  17. 17.A park plan for Richmond places a bench at the point (0, 7) on a coordinate grid. How many units is the bench from the origin?

  18. 18.A pattern table in a Roanoke class uses the expression 3x + 5. What is the value of the expression when x = 4?

  19. 19.Chairs for a Virginia Beach assembly are arranged so that 6c = 42. What is c?

  20. 20.A triangular sail sketched for a Hampton boat has a base of 10 inches and a height of 6 inches. What is the area of the triangle?

  21. 21.A rectangular aquarium in a Virginia Beach classroom is 10 inches long, 6 inches wide, and 8 inches tall. What is the volume of the tank?

  22. 22.High temperatures in Staunton for five days were 60, 63, 71, 65, and 68 degrees. What is the median temperature?

  23. 23.On a Richmond school bus, sixth graders and seventh graders sit in the ratio 5 to 3. Fifteen sixth graders are seated. How many seventh graders match that ratio?

  24. 24.Of 50 tomato plants in a Danville garden, 20 produced ripe fruit early. What percent of the plants produced fruit early?

  25. 25.Seven bottles share 7/3 liters of water equally on a hike near Luray. How many liters does each bottle receive?

  26. 26.Notebooks at a store in Newport News cost $1.25 each. What is the cost of 6 notebooks?

  27. 27.A tide gauge on the Chesapeake Bay reads -6 feet relative to a harbor marker. What is the absolute value of that reading?

  28. 28.On a Shenandoah trail grid, a trailhead is at (-2, 5) and a shelter is at (-2, -3). What is the distance between those points?

  29. 29.A warm-up card in a Lynchburg class asks for the value of 2 to the fifth power. What is 2^5?

  30. 30.A balance scale in a Pulaski classroom is labeled n - 15 = 8. What is n?

  31. 31.A circular fountain in a Lynchburg park has a radius of 5 meters. Using 3.14 for π, what is the area of the fountain?

  32. 32.A gift shop in Waynesboro packs a box that is 6 centimeters long, 2 centimeters wide, and 3 centimeters high. What is the surface area of the box?

  33. 33.Seven friends in Galax checked out 1, 1, 1, 4, 6, 8, and 9 library books. What is the mode of the data?

  34. 34.Mural painters in Norfolk spread 8 gallons of paint across 240 square feet of brick. How many square feet does 1 gallon cover?

  35. 35.A concert hall in Bristol sells 200 tickets, and 30% of them are balcony seats. How many balcony seats were sold?

  36. 36.A dowel in a Covington woodshop is 5/3 feet long. Each peg cut from it is 1/6 foot long. How many pegs can be cut?

  37. 37.A coil of rope at a Norfolk marina is 9.6 meters long and is cut into 4 equal pieces. How long is each piece?

  38. 38.A practice card in a Blacksburg class asks for the product of -7 and 4. What is (-7) × 4?

  39. 39.A street map for a Manassas project is drawn on a four-quadrant grid. Which point lies in Quadrant II?

  40. 40.A sentence in a Lynchburg lesson says "seven less than a number m." Which expression matches the sentence?

  41. 41.A Culpeper lesson writes the equation p/4 = 7. What is p?

  42. 42.A rectangular courtyard in Williamsburg measures 15 yards by 8 yards. A rectangular flower bed inside it measures 5 yards by 3 yards. What is the area of the courtyard that is outside the flower bed?

  43. 43.A storage crate in an Appomattox barn has a volume of 120 cubic feet. Its base is 6 feet by 5 feet. What is the height of the crate?

  44. 44.Six quiz scores in a Winchester class were 70, 82, 90, 74, 88, and 80. What is the median score?

  45. 45.Kayakers on the James River near Scottsville keep a steady pace and cover 18 miles in 3 hours. What is their speed in miles per hour?

  46. 46.A science class in Fredericksburg tests 25 water samples from a creek, and 8 of the samples are cloudy. What percent of the samples are cloudy?

  47. 47.Cafeteria staff in Chesapeake pour 8/3 quarts of juice into cups that hold 2/3 quart each. How many cups get filled?

  48. 48.Gasoline at a station in Wytheville costs $3.20 per gallon. How much do 3.5 gallons cost?

  49. 49.Students in Emporia use a number line to find -36 ÷ 6. What is the quotient?

  50. 50.A grid in a Petersburg classroom shows the point (-5, 0). Where is that point?

  51. 51.A note card in Marion asks which expression is equivalent to 4(y + 3). Which expression matches?

  52. 52.A thermometer model in Buena Vista is described by y + 6 = -2. What is y?

  53. 53.A triangular banner for a parade in Hampton has a base of 14 feet and a height of 4 feet. What is the area of the banner?

  54. 54.A rectangular sandbox in a Portsmouth park is 8 feet long, 4 feet wide, and 1.5 feet deep. What is the volume of the sandbox?

  55. 55.Students at Cape Charles measured five shell lengths, in centimeters: 4, 5, 5, 6, and 20. Which measure of center is changed by including the length 20?

  56. 56.A Virginia Beach market sells 4 peaches for $3. A Norfolk market sells 10 peaches for $6. Which statement is true?

  57. 57.A bookstore in Staunton marks a $24 atlas down by 10%. What is the sale price?

  58. 58.A seamstress in Martinsville cuts 2/5-yard strips from a 5-yard bolt of fabric. How many strips does the bolt make?

  59. 59.A trail sign near Mount Rogers lists a climb of 1.8 miles and then a ridge walk of 2.45 miles. How long are those two parts together?

  60. 60.On a coordinate warm-up in Falls Church, students name the opposite of -15. What is that opposite?

  61. 61.A Jamestown ferry route drawn on a grid goes from (2, -1) to (11, -1). How many units long is that horizontal segment?

  62. 62.A table in a Warrenton class asks for the value of k^2 - 6 when k = 5. What is that value?

  63. 63.A class trip to Monticello costs $11 per student, and the class paid $132 in all. If 11s = 132, what is s?

  64. 64.A circular path around a statue in Capitol Square has a diameter of 10 feet. Using 3.14 for π, what is the circumference of the path?

  65. 65.A cube-shaped display case in an Alexandria museum has edges of 5 inches. What is the surface area of the case?

  66. 66.A soccer team in Chesapeake scored 1, 0, 4, 2, 4, 3, and 4 goals in seven games. What is the mode of the scores?

  67. 67.A Roanoke feed shop lists 2 scoops of birdseed for $5. At that same rate, what is the cost of 8 scoops?

  68. 68.A rainfall chart in Tappahannock shows that 0.6 of the days in a month were rainy. What percent of the days were rainy?

  69. 69.A field near South Hill covers 11/4 acres and is split into plots of 1/4 acre. How many plots is that?

  70. 70.Four friends in Arlington split a $27.40 museum bill equally. How much does each friend pay?

  71. 71.A model buoy in a Virginia Beach classroom starts at -12 meters and then descends another 9 meters. What is its new position?

  72. 72.A statue on a Charlottesville campus map is 3 units left of the origin and 5 units up. Which ordered pair names that location?

  73. 73.A notebook in Farmville shows the expression 8p + 3p. What is the simplified expression?

  74. 74.A produce scale in Strasburg is modeled by m + 2.5 = 9. What is m?

  75. 75.A rectangular poster in Herndon has an area of 96 square inches and a width of 8 inches. What is the length of the poster?

  76. 76.A science kit box in Portsmouth is packed with 1-inch cubes. The box is 6 inches long, 3 inches wide, and 2 inches high. How many cubes fill the box?

  77. 77.The prices of four snacks at a Norfolk pier are $2, $5, $3, and $8. What is the median price?

  78. 78.In a Charlottesville classroom of 32 students, the ratio of left-handed students to all students is 1 to 8. How many students are left-handed?

  79. 79.A snack at a Fairfax game costs $8 before a 5% sales tax. How many dollars is the tax?

  80. 80.An art room in Salem has 4/5 liter of glaze. Each small jar holds 1/10 liter. How many jars can be filled?

  81. 81.A farmer near Chatham buys 12.5 meters of wire at $0.80 per meter. What is the total cost of the wire?

  82. 82.A class in Orange compares the integers -3 and -10. Which statement is true?

  83. 83.On a coordinate grid in Big Stone Gap, a marker is plotted at (-8, -1). In which quadrant is that point?

  84. 84.A chalkboard in Colonial Heights shows 18 - 2 × 5 + 1. What is the value of that expression?

  85. 85.The water level in a barrel in Orange County started at h inches and fell 12 inches, ending at 19 inches. Which equation matches that story?

  86. 86.A blueprint for a ramp in Smithfield shows a right triangle with legs of 9 centimeters and 8 centimeters. What is the area of the triangle?

  87. 87.A clay block in a Vinton art class is a rectangular prism 9 centimeters by 4 centimeters by 2 centimeters. What is its surface area?

  88. 88.In a Woodbridge class, the mean of four test scores is 80. Three of the scores are 76, 84, and 90. What is the fourth score?

  89. 89.Hikers near Shenandoah mix drink powder using 2 scoops of powder for every 9 scoops of water. Which fraction shows the ratio of powder to water?

  90. 90.A garden plot in Bedford is 3/4 lawn. What percent of the plot is lawn?

  91. 91.Campers at Natural Bridge cut a 7/2-meter rope into pieces that are 1/4 meter long. How many pieces do they cut?

  92. 92.The morning temperature in Winchester was 8.6°C. By evening it was 3.25°C. By how many degrees did the temperature fall?

  93. 93.A scoreboard at a tournament in Radford shows the result of 5 - 8. What is that difference?

  94. 94.On a map grid of a Yorktown garden, three corners of a rectangle with sides parallel to the axes are (1, 2), (1, 6), and (5, 2). What is the fourth corner?

  95. 95.A farm stand in Fauquier County sells baskets for $6 each and adds one $2 bag fee. Which expression is the cost of b baskets with that fee?

  96. 96.Five friends in Leesburg split a restaurant bill equally, and each friend pays $8. Which equation represents the whole bill, b?

  97. 97.A round table in an Alexandria cafe has a radius of 3 feet. Using 3.14 for π, what is the area of the tabletop?

  98. 98.A rectangular reflecting pool in Lexington is 20 feet long, 5 feet wide, and 2 feet deep. What is the volume of water when the pool is full?

  99. 99.Daily visitor counts at a small exhibit in Onancock were 12, 18, 15, 9, and 30. What is the median count?

  100. 100.A printer in a Fairfax library finishes 90 pages in 6 minutes. What is the unit rate in pages per minute?

  101. 101.A park crew in Leesburg plants 60 trees, and 75% of them are oaks. How many of the trees are oaks?

  102. 102.A diner in Front Royal uses 3/8 cup of batter for each pancake. The cook has 9/2 cups of batter. How many pancakes can be made?

  103. 103.A crate of apples in Nelson County weighs 18.75 pounds, and the empty crate weighs 2.5 pounds. What is the weight of the apples alone?

  104. 104.A flash card in Christiansburg asks for the product (-5) × (-6). What is that product?

  105. 105.Students in Ashland plot points for a map warm-up. Which ordered pair lies on the y-axis?

  106. 106.A board in Rocky Mount shows the expression 5 + 9n. Which expression is equivalent to it?

  107. 107.A riddle in Berryville says the difference of a number and 20 is 46, written as z - 20 = 46. What is z?

  108. 108.A rectangular classroom floor in Bristol is 11 meters long and 9 meters wide. What is the area of the floor?