North Carolina End-of-Grade Tests Mathematics Grade 6

1.A delivery van logs 150 miles from Greensboro toward Wilmington in 3 hours at one steady speed. What is that speed in miles per hour?

2.A trail notebook at Grandfather Mountain says the inequality -3m > 12 must be true, where m is the overnight change in degrees. Which inequality gives every value of m that works?

3.A potter in Seagrove has 2/3 pound of glaze and fills cups that each hold 1/6 pound. How many full cups does that glaze make?

4.At the State Fair in Raleigh, 25 percent of the 80 pies in one booth are sweet potato. How many of those pies are sweet potato?

5.The sail on a skiff in Beaufort harbor is a triangle with base 8 feet and height 5 feet. What is the area of the sail in square feet?

6.Before sunrise at Mount Mitchell, the air temperature is -9 degrees Fahrenheit. What is the absolute value of that temperature?

7.A clerk at the Cedar Island ferry uses the equation 4x + 3 = 23, where x is the number of vehicles still needing tickets. What is x?

8.Five crab pots off Harkers Island held 3, 8, 1, 8, and 5 crabs. What is the median number of crabs?

9.Mural painters in Durham mix blue and white paint in the ratio 2 to 5. When they use 10 cups of white, how many cups of blue should they use?

10.A produce stand in Johnston County sells 6 sweet potatoes for $9. What is the price of one sweet potato?

11.A dye shop in Kannapolis keeps 4 red skeins for every 7 gold skeins. Which pair does not show that same ratio?

12.A shop on Ocracoke offers 4 postcards for $6 or 10 postcards for $14. Which offer has the lower price per postcard?

13.A seafood counter in Calabash records plates sold at five lunches: 4, 9, 6, 11, and 5. What is the mean number of plates?

14.On a road map of the Piedmont, 1 inch stands for 20 miles. A pencil line on that map is 3.5 inches long. How many miles does the line stand for?

15.Bakers in Old Salem use 3 cups of flour to make 36 cookies. How many cookies does 1 cup of flour make at that rate?

16.Rangers in Pisgah National Forest paint 6 trail blazes for every 9 posts. Which ratio is equivalent to 6:9?

17.Fuel records for a school bus in Cary show 5 gallons used for 60 miles. At that same rate, how many gallons does the bus use for 180 miles?

18.On Jordan Lake, the first kayaker travels 8 miles in 2 hours and the second travels 15 miles in 5 hours. Which statement compares their speeds?

19.In an Asheville homeroom, the ratio of students who walk to students who ride is 3 to 5. If 24 students walk, how many students ride?

20.A farm stand in Nash County sold 18 jars of honey and 24 jars of jam. What is the ratio of honey jars to jam jars in simplest form?

21.A posted split at Hanging Rock says a hiker walked 1.5 miles in 12 minutes. How many minutes did that pace take for one mile?

22.Potter A in Sanford mixes 5 cups of water with 2 cups of powder. Potter B in Star mixes 8 cups of water with 4 cups of powder. Which mixture has more water per cup of powder?

23.On one Saturday, 10 percent of the 250 visitors at the aquarium on Roanoke Island join a keeper talk. How many visitors join the talk?

24.At a vineyard in Duplin County, 40 percent of 65 scuppernong vines need new stakes. How many vines need stakes?

25.In a theater in Tryon, 45 seats are filled, and those filled seats are 30 percent of all the seats. How many seats does the theater have?

26.A quilt square from Catawba County is split into 100 equal patches, and 17 patches are navy. What percent of the patches are navy?

27.Admission on a sign at Chimney Rock is $60. A coupon takes off 5 percent of that price. How many dollars does the coupon take off?

28.Of 48 students visiting the Museum of Natural Sciences in Raleigh, 75 percent brought a notebook. How many students brought a notebook?

29.A shop in Blowing Rock prices a wool hat at $40 and then takes 15 percent off that price. How many dollars is the discount?

30.A shorebird poster at Alligator River says one group is 20 percent of a nest count. Which fraction equals 20 percent?

31.A volunteer at Fort Fisher counts 15 pelicans and then reads that a later count is 200 percent of that number. What is 200 percent of 15?

32.Of 48 boats counted in Wanchese harbor, 12 are skiffs. What percent of the counted boats are skiffs?

33.A class in Waynesville is choosing one survey question for sixth graders. Which question is statistical, meaning the answers are expected to vary?

34.A crew at Goose Creek State Park builds 3/4 mile of boardwalk and splits it into equal sections of 1/8 mile. How many sections is that?

35.A mill in Bertie County packs 5 pounds of peanuts into bags that each hold 1/4 pound. How many bags does that fill?

36.At a shop in Hillsborough, a clerk finds how many 1/2-yard lengths fit in a 7/8-yard ribbon by dividing 7/8 by 1/2. What is that quotient?

37.A breakfast stall in Goldsboro has 1/2 cup of syrup left. A full serving uses 3/4 cup. What part of one serving is left?

38.A gardener in Pittsboro plants strawberries along 2/5 of a 30-foot bed. How many feet of the bed are planted?

39.An oyster stall in Swan Quarter sets out 56 oysters, and 3/8 of them are sold by noon. How many oysters have been sold?

40.Workers in Washington, on the Pamlico River, set 4 boards end to end. Each board is 2 1/2 feet long. How many feet is the row?

41.A hiker at Stone Mountain State Park starts with 5/6 liter of water and drinks 1/2 liter. How much water is left, in liters?

42.A market in Saxapahaw wraps 1/4 pound of cheddar with 2/3 pound of goat cheese. What is the total weight in pounds?

43.A receipt from a bookstore in Chapel Hill lists $12.45 for a field guide and $7.80 for a map. What is the total cost?

44.The water level at Fontana Lake was 1,705.6 feet and then dropped 2.75 feet. What was the level after the drop?

45.Upholstery fabric in High Point costs $4.25 a yard. A buyer purchases 6 yards. What is the cost?

46.Four students in Burlington split the $18.60 cost of a museum poster equally. How much does each student pay?

47.A marina in Oriental has 7.5 meters of fishing line and cuts it into pieces that are 1.5 meters each. How many pieces does that make?

48.A lifeguard at Carolina Beach lists rescues for seven days: 3, 5, 3, 8, 3, 6, and 9. What is the mode?

49.A farm in Columbus County has 756 collard seedlings to pack with 12 seedlings in each crate. How many full crates does that make?

50.A box office in Durham has 2,448 tickets to divide into 24 equal bundles. How many tickets are in each bundle?

51.A customer at a bait shop in Sneads Ferry pays with a $10 bill for an item costing $3.75. How much change should the customer receive?

52.A teacher in Wilson has 18 red markers and 24 blue markers and wants the greatest number of identical packs, with none left over. How many packs is that?

53.From a depot in Charlotte, one bus line departs every 8 minutes and another departs every 12 minutes. They depart together at noon. After how many minutes do they next depart together?

54.Volunteers in Greensboro make identical stacks from 45 morning programs and 60 afternoon programs, using as many stacks as the greatest common factor allows. How many stacks is that?

55.In a harbor model in Swansboro, one light flashes every 9 seconds and another flashes every 12 seconds. They flash together at the start. After how many seconds do they next flash together?

56.A clerk in Kinston rewrites the supply sum 36 + 48 by factoring out the greatest common factor. Which expression is that rewrite?

57.The number of herons counted on three mornings at Lake Mattamuskeet was 4, 7, and 10. What is the mean absolute deviation of those counts?

58.A tide board in Wilmington shows a rise of 7 inches above a mark. Which number is the opposite of that rise?

59.On a January morning, Boone is at -12 degrees Fahrenheit and Raleigh is at 9 degrees Fahrenheit. Which temperature has the greater absolute value?

60.Four creek gauges near Sparta record changes of -4, 2, -7, and 0 feet. Which list orders those changes from least to greatest?

61.A temperature line in a Mars Hill classroom has a marker at 2. A second marker is placed 5 units to the left of it. Which number does the second marker show?

62.On a grid of Pamlico Sound, east is the positive x-direction and north is the positive y-direction. A buoy is plotted at (-3, 4). In which quadrant is the buoy?

63.A chart off Cape Lookout plots a dive site at (5, -2), with east positive and north positive. In which quadrant is the dive site?

64.A trail map at Eno River State Park shows a marker at (-2, 5). The marker is reflected across the y-axis. What are the coordinates of the image?

65.On a street grid in Raleigh, a library is at (2, -3) and a museum is at (2, 5). What is the distance between them in blocks?

66.In New Bern, two docks on the same horizontal grid line are at (-4, 1) and (3, 1). What is the distance between the docks?

67.At 6 a.m. in Banner Elk the temperature is -8 degrees Fahrenheit. By noon it has risen 13 degrees. What is the noon temperature?

68.A diver off Cape Fear moves from a depth of -18 feet to a depth of -7 feet. If up is positive, what is the change in position, in feet?

69.A student store in Greenville shows a balance of -15 dollars. After a deposit of 9 dollars, what is the new balance?

70.A box plot of wait times, in minutes, at the ferry landing in Bayboro has a first quartile of 6, a median of 9, and a third quartile of 14. What is the interquartile range?

71.Students in Brevard test statements about overnight lows. Which statement is true?

72.A tide model in Morehead City takes the opposite of a reading and then takes the opposite again. The reading starts at -5. What is the final result?

73.Sensors in the Great Dismal Swamp in Camden County report changes of -1/2 foot, -0.8 foot, -0.2 foot, and -3/4 foot. Which change is the greatest number?

74.From the origin on a map of William B. Umstead State Park, a picnic table is 4 units west and 3 units south. Which ordered pair marks the table?

75.A crate at a Hendersonville orchard holds some peaches. After 17 more peaches are added, the crate holds 42. How many peaches were in the crate at the start?

76.A gym in Fayetteville sets out 54 chairs in 6 equal rows, so 6y = 54. How many chairs are in one row?

77.A counter used on a Linville Gorge hike satisfies n - 8 = 15, where n is the trail length in miles. What is n?

78.A walking group in Salisbury writes m/5 = 7, where m is the total number of miles walked over 5 equal days. What is m?

79.A window in Black Mountain starts with 20 concert tickets and sells 4 tickets each hour for h hours. Which expression gives the number of tickets still at the window?

80.A stable in Southern Pines uses 3a + 2 scoops of feed, where a is the number of horses. How many scoops are needed when a = 6?

81.A cube-shaped planter in an Apex courtyard measures 5 units on each edge and is filled with unit cubes. How many unit cubes fill it?

82.A scoreboard in Rocky Mount uses 2 to the fourth power, times 3, bulbs. How many bulbs is that?

83.A carpenter in Hickory writes 4(x + 7) for the length of a piece of trim. Which expression is equivalent?

84.A florist in Winston-Salem groups 12y + 18 stems. Which expression rewrites that sum correctly by using a common factor?

85.A mileage note for a ranger in Croatan National Forest reads 7k + 3 + 2k. Which expression is equivalent?

86.A supply order in Elizabeth City is written as 4x + 9 - y. How many terms does that expression have?

87.A weather club in Tarboro uses the expression 8 + 5w for a wind calculation. What is the coefficient of w?

88.A tutor in Cary simplifies 3(2n + 5) - 4. Which expression is the result?

89.A plaque in Bath states that five more than twice a number is 19. Which equation matches that statement?

90.A rental desk at Lake James uses the equation 5p - 2 = 18. What is the value of p?

91.A camp at Morrow Mountain State Park allows canoes on the dock only when 4n < 28, where n is the number of canoes. Which inequality describes n?

92.A cold-storage log for apples near Valle Crucis uses the inequality -5p ≤ 20. Which inequality describes p?

93.An engineer writing about a pump on the Roanoke River near Williamston uses -2k < -10. Which inequality describes k?

94.A running club in Concord writes the goal y/3 ≥ 6, where y is the number of miles. Which inequality describes y?

95.A streetcar model in Charlotte uses d = 4t + 1, where t is the number of minutes. What is d when t = 3?

96.A bus near Statesville travels 15 miles in 1 hour, 30 miles in 2 hours, and 45 miles in 3 hours. Which equation relates miles m to hours h?

97.At a dock in Varnamtown, the cost in dollars is c = 2.5n, where n is the number of pounds of shrimp a buyer chooses. Which quantity is the independent variable?

98.A parade banner in Lexington is a parallelogram with base 9 feet and height 4 feet. What is its area in square feet?

99.A garden bed in Hillsborough is a trapezoid with parallel sides of 6 meters and 10 meters and a height of 4 meters. What is its area in square meters?

100.A rectangular oyster lease near Stumpy Point measures 15 yards by 8 yards. What is the area of the lease in square yards?

101.A pennant at a regatta in Wrightsville Beach is a triangle with base 12 inches and height 7 inches. What is the area in square inches?

102.A deck in Southport is built from a 6-by-4 foot rectangle joined, with no overlap, to a 3-by-2 foot rectangle. What is the total area in square feet?

103.A cooler packed for a trip out of Hatteras is a rectangular prism 8 inches by 5 inches by 4 inches. What is its volume in cubic inches?

104.A bakery box in Winston-Salem measures 1/2 foot by 3 feet by 4 feet. What is the volume of the box in cubic feet?

105.A gift box at the zoo in Asheboro is 3 inches by 4 inches by 2 inches. What is the surface area of the box in square inches?

106.A cube-shaped buoy model built in Marshallberg has edges of 5 centimeters. What is the surface area of the model in square centimeters?

107.On a town grid in Edenton, a garden has corners at (0, 0), (8, 0), (8, 3), and (0, 3). What is the area of the garden in square units?

108.A kite panel in Nags Head is a triangle with area 30 square inches and base 10 inches. What is the height in inches?