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North Carolina End-of-Grade Tests Mathematics Grade 5

One hundred eight questions on fractions, decimals, volume, and the order of operations.

These questions are original. This is not an official North Carolina End-of-Grade test, and FreeExam is not affiliated with the North Carolina Department of Public Instruction.

  1. 1.A Moravian cookie baker in Winston-Salem stirs 1/2 cup of molasses together with 1/4 cup of buttermilk. How many cups are in the mixture?

  2. 2.Weather stripping at a Charlotte hardware counter is 0.4 meter long. A clerk cuts a piece that is 0.5 of that length. How many meters long is the piece?

  3. 3.A produce crate at the North Carolina State Fair is a rectangular prism 5 units long, 3 units wide, and 2 units high. What is its volume?

  4. 4.During a youth basketball game in Greensboro, the scoreboard operator evaluates 3 + 2 × 5. What is the value of that expression?

  5. 5.In a Chapel Hill science notebook, a student expands 10 to the second power. What is that value?

  6. 6.On a trail map drawn in Boone, a campsite is plotted at (4, 2). How is that point located from the origin?

  7. 7.A deckhand on the Cedar Island ferry divides 4.8 pounds of rope into coils of 0.8 pound each. How many coils does that make?

  8. 8.A guided walk at Tryon Palace in New Bern begins at 2:10 p.m. and ends at 2:55 p.m. How long is the walk?

  9. 9.A potter in Seagrove weighs 3/8 pound of clay for a bowl and 1/4 pound for its lid. What is the total weight of the clay?

  10. 10.The Carolina Beach boardwalk is 7/10 mile long. A family has already walked 2/5 mile of it. How much of the boardwalk is left?

  11. 11.A beekeeper near Whiteville starts with 5/6 gallon of honey and sells 1/3 gallon. How much honey remains, in simplest form?

  12. 12.After a music gathering in Mount Airy, 2/3 of a sweet potato pie is left. Guests then eat 1/6 of the whole pie. What fraction of the pie remains, in simplest form?

  13. 13.A hiker on the Mountains-to-Sea Trail near Asheville walks 3/4 mile before lunch and 1/8 mile after lunch. How far is that altogether?

  14. 14.A furniture finisher in High Point pours 2/5 gallon of blue stain and 1/2 gallon of clear coat into one can. How much liquid is in the can?

  15. 15.A weaver in Asheville has 5/6 yard of ribbon and uses 1/2 yard on a collar. How much ribbon is left, in simplest form?

  16. 16.The school cafeteria in Fayetteville mixes 3/10 liter of apple juice with 2/5 liter of grape juice. How many liters are in the mixture?

  17. 17.Volunteers at Fort Fisher had a bag that was 7/8 full of sand. They removed an amount equal to 1/4 of a full bag. What fraction of a bag is still full?

  18. 18.A barbecue shop in Lexington measures 1/3 cup of flour and then adds 2/9 cup more for a sauce. How much flour is used in all?

  19. 19.A yard in Cary has 11/12 cubic foot of mulch piled by the porch. A gardener spreads 1/3 cubic foot. How much mulch is still in the pile?

  20. 20.A breakfast cook in Shelby stirs 1/6 cup of syrup into 3/4 cup of warm milk. How many cups are in the mixture?

  21. 21.A cabinetmaker in Hickory has a board 9/10 meter long and saws off 1/2 meter. How long is the remaining piece, in simplest form?

  22. 22.A farmer near Kinston plants collards on 2/7 of a field in the morning and on 3/7 of the same field in the afternoon. What fraction of the field is planted?

  23. 23.A tank beside Jordan Lake is 4/5 full. A crew drains an amount equal to 1/10 of the tank. What fraction of the tank is still full?

  24. 24.Growers in Hendersonville mark 3/4 acre for apples, and 1/2 of that marked land is Golden Delicious. How many acres are Golden Delicious?

  25. 25.A parade banner in Raleigh is 2/3 yard tall, and the gold lettering covers 3/5 of that height. How tall is the lettering, in simplest form?

  26. 26.A cook in New Bern needs 2/3 of a 3/4-cup scoop of broth. How much broth is that, in simplest form?

  27. 27.In Wilson, 5/6 acre is set aside for greens, and collards fill 1/5 of that land. How many acres are collards, in simplest form?

  28. 28.A porch in Wilmington is 8 feet deep, and an awning shades 3/4 of that depth. How many feet does the awning shade?

  29. 29.Workers tile 2/3 of a 12-foot hallway in the Durham County library. How many feet of the hallway are tiled?

  30. 30.Of 15 cans collected at a food drive in Greenville, 2/5 are beans. How many cans are beans?

  31. 31.A runner in Chapel Hill finishes 3/4 of a 12-mile loop around campus. How many miles has the runner finished?

  32. 32.In a storeroom in Kannapolis, 5/6 of 18 cartons hold towels. How many cartons hold towels?

  33. 33.Four friends at the North Carolina State Fair split 1/2 of a pecan pie equally. What fraction of the whole pie does each friend get?

  34. 34.A teacher in Asheboro cuts 1/3 yard of ribbon into 2 equal strips. How long is each strip?

  35. 35.Campers at Falls Lake fill a 3-liter cooler using bottles that each hold 1/4 liter. How many full bottles does the cooler hold?

  36. 36.A kitchen in Goldsboro has 5 cups of stew, and each bowl gets 1/4 cup. How many bowls can be filled?

  37. 37.A carpenter in Morganton cuts a 5-foot trim board into pieces that are each 1/2 foot long. How many pieces is that?

  38. 38.Three mural painters in Winston-Salem share 1/5 gallon of gold paint equally. How much paint does each painter get?

  39. 39.Rangers divide a 2-mile stretch of the Blue Ridge Parkway into sections of 1/8 mile. How many sections is that?

  40. 40.Seven apples from a Henderson County crate are shared equally by 3 students. How many apples does each student get, written as a fraction?

  41. 41.Five small pizzas at a youth club in Charlotte are shared equally by 8 members. What fraction of a pizza does each member get?

  42. 42.Five students in a pottery class in Pittsboro share 2 pounds of clay equally. What fraction of a pound does each student receive?

  43. 43.Three liters of lemonade at a picnic in Raleigh are poured equally into 4 pitchers. How many liters go into each pitcher?

  44. 44.A visitor on Ocracoke pays $2.35 for a ferry snack and $1.48 for a postcard. What is the total cost?

  45. 45.A board at a sawmill in New Bern is 6.75 feet long. After a piece 2.4 feet long is cut off, how long is the board that remains?

  46. 46.Wilmington recorded 1.6 inches of rain on Monday and 0.85 inch on Tuesday. How many inches fell over those two days?

  47. 47.A groundskeeper in Lumberton starts with 8.2 gallons in a mower can and uses 3.5 gallons. How many gallons remain?

  48. 48.Tickets to a natural science exhibit in Raleigh cost $4.25 each. What is the cost of 3 tickets?

  49. 49.Cloth at a craft shop in Boone costs $0.60 per yard. What is the cost of 0.5 yard?

  50. 50.Six planks on a dock in Beaufort are each 1.25 meters long and are laid end to end. What is their combined length in meters?

  51. 51.Four packets of bean seeds at a store in Spruce Pine cost $1.75 each. What is the total cost in dollars?

  52. 52.A mooring line at the Morehead City waterfront is 9.6 meters long and is cut into 4 equal pieces. How long is each piece in meters?

  53. 53.A painter spreads 7.2 liters of primer equally across 8 wall sections in a house in Durham. How many liters does each section get?

  54. 54.A bus travels from Greensboro toward Asheville for 3.5 hours at a steady speed of 48 miles per hour. How many miles does it travel?

  55. 55.Shrimp at a dock market in Wilmington costs $8.40 per pound. What is the cost, in dollars, of 0.5 pound?

  56. 56.A kitchen floor in Cary covers 2.4 square meters. Each tile covers 0.3 square meter. How many tiles cover the floor?

  57. 57.An electrician in Clinton cuts 6.3 meters of wire into pieces that are each 0.9 meter long. How many pieces is that?

  58. 58.A place-value chart in a Jacksonville classroom shows the product of 4.7 and 10. What is that product?

  59. 59.A balance in a Research Triangle Park lab reads 3.06 grams. That reading is multiplied by 100 on the data sheet. What is the product?

  60. 60.A coin tray in Gastonia holds 85 dimes. A clerk computes 85 ÷ 10 while regrouping them by tens. What is the quotient?

  61. 61.Students in a Charlotte classroom expand 10 to the third power. What is its value?

  62. 62.The tide board at Cape Lookout shows 56.349 feet. Which digit is in the hundredths place?

  63. 63.Last season, 70,418 people visited the North Carolina Zoo in Asheboro. What is the value of the digit 7 in 70,418?

  64. 64.A window on a house in New Bern is a rectangle. How many right angles does that window have?

  65. 65.A trail marker near Grandfather Mountain is a triangle with three sides of equal length. What is the most specific name for this triangle?

  66. 66.The crew at Thalian Hall in Wilmington sets 125 chairs in each of 16 sections. How many chairs is that?

  67. 67.A farm near Tabor City packs 18 crates with 45 sweet potatoes in each crate. How many sweet potatoes are packed?

  68. 68.A mason in Salisbury lays 15 bricks in each of 26 rows of a garden wall. How many bricks are in the wall?

  69. 69.A bookstore in Chapel Hill orders 15 packs with 28 bookmarks in each pack. How many bookmarks are ordered?

  70. 70.Ushers in Greensboro hand out 46 programs in each of 12 seating sections. How many programs is that?

  71. 71.A showroom floor in High Point is covered by 35 tiles along the length and 22 tiles along the width, with no gaps. How many tiles cover the floor?

  72. 72.A dairy in Statesville fills 64 bottles in each of 25 cases. How many bottles are filled?

  73. 73.Field-day buses in Charlotte each seat 36 students, and 432 students fill every seat. How many buses are used?

  74. 74.A road race in Wilmington groups 525 runners into equal teams of 25. How many teams are formed?

  75. 75.An orchard in Asheville packs 2,016 apples into bags of 32 apples each. How many bags are filled?

  76. 76.Workers set 910 chairs in a Durham arena in equal rows of 35 chairs. How many rows are there?

  77. 77.A library in Winston-Salem places 624 novels on shelves that each hold 16 books, filling every shelf. How many shelves are used?

  78. 78.In a Cary classroom, students pack 8 boxes and then 2 more boxes, and they make 4 stacks of that total. The work is written (8 + 2) × 4. How many boxes is that?

  79. 79.A math game card in Boone shows 20 points and then subtracts the product of 3 and 4, written as 20 − 3 × 4. What score remains?

  80. 80.Trail stewards near Linville Gorge group 18 markers into 3 equal bundles and then set out 5 more markers. The count is 18 ÷ 3 + 5. How many markers are set out?

  81. 81.A gym in Newton lines up 4 rows, and each row has 9 − 2 seats. The plan is written 4 × (9 − 2). How many seats is that?

  82. 82.On a vase in Seagrove, a painter draws 2 stripes plus 3 groups of 4 + 1 dots. The count is 2 + 3 × (4 + 1). How many marks is that?

  83. 83.A field sprayer in Clinton holds 30 gallons and uses an amount equal to 12 ÷ 3 gallons. The amount left is 30 − 12 ÷ 3. How many gallons remain?

  84. 84.A fence crew in Elizabeth City builds 5 panels, and each panel uses 2 + 4 pickets. Then 7 cracked pickets are removed. The count is [5 × (2 + 4)] − 7. How many pickets remain?

  85. 85.A trail guide in Asheville adds 6 to 4 and then multiplies that sum by 3. Which expression matches those steps?

  86. 86.A baker in Burlington doubles the sum of 7 cups and 5 cups of flour. How many cups is that?

  87. 87.A cooler on the beach at Nags Head is a rectangular prism 8 units long, 4 units wide, and 3 units high. What is its volume?

  88. 88.A shipping box in a warehouse in Greensboro measures 10 centimeters by 6 centimeters by 4 centimeters. What is its volume?

  89. 89.A courtyard planter in Raleigh is 9 inches long, 2 inches wide, and 5 inches high. What is its volume?

  90. 90.A storage bin at a market in Smithfield is 6 units long and 4 units wide, and its volume is 72 cubic units. What is its height in units?

  91. 91.Two matching crates on the Wilmington docks each measure 4 units by 3 units by 2 units. What is their combined volume?

  92. 92.A display at the State Fair in Raleigh is built from 7 layers of unit cubes, and each layer is 5 cubes by 2 cubes. What is the volume of the display?

  93. 93.The base of a sand mold at Fort Macon covers 12 square units, and the mold is a rectangular prism 3 units high. What is the volume?

  94. 94.At a shop in Havelock, one supply crate measures 8 by 3 by 2 and another measures 5 by 4 by 2. How many more cubic units are in the larger crate?

  95. 95.A fountain on a greenway map in Charlotte is plotted at (3, 5). Which statement locates the fountain from the origin?

  96. 96.A first-quadrant grid in a classroom in Kernersville marks the origin. What are the coordinates of the origin?

  97. 97.On a map of Jordan Lake, a picnic shelter is 6 units right and 1 unit up from the origin. What are its coordinates?

  98. 98.On a harbor chart in Beaufort, dock A is at (2, 4) and dock B is at (2, 7). Which statement is true?

  99. 99.On a courtyard grid in Apex, a bench is at (1, 3) and a flagpole is at (6, 3). How many units apart are they horizontally?

  100. 100.A trail marker at (2, 5) on a map of Hanging Rock State Park is moved 3 units right. What are the new coordinates?

  101. 101.A welcome banner at the North Carolina Zoo in Asheboro is 4 yards long. How many feet long is the banner?

  102. 102.A picture frame in a shop in Blowing Rock is 2 feet wide. How many inches wide is the frame?

  103. 103.A display board in Pinehurst is 3 meters tall. How many centimeters tall is the board?

  104. 104.A marked section of the Mountains-to-Sea Trail is 2 kilometers long. How many meters long is that section?

  105. 105.A sack of peanuts from a farm in Halifax County weighs 6 pounds. How many ounces does the sack weigh?

  106. 106.A tea jug at a barbecue in Lexington holds 3 quarts. How many pints does the jug hold?

  107. 107.The ferry crossing from Swan Quarter is scheduled for 2 hours. How many minutes is that schedule?

  108. 108.A lab bottle in Research Triangle Park holds 4 liters of water. How many milliliters is that?