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Massachusetts Comprehensive Assessment System Mathematics Grade 5

Decimals, fraction operations, volume, and numerical expressions.

These questions are original. This is not an official Massachusetts Comprehensive Assessment System test, and FreeExam is not affiliated with the Massachusetts Department of Elementary and Secondary Education.

  1. 1.A baker in Northampton pours 1/3 cup of maple syrup into a bowl and then adds 1/6 cup. How much syrup is in the bowl?

  2. 2.A science kit in Worcester includes a metal strip that is 0.2 meter long. A student marks a piece that is 0.4 of the strip. How many meters long is the marked piece?

  3. 3.A storage box at a library in Springfield is 5 units long, 4 units wide, and 2 units high. What is the volume of the box?

  4. 4.A class in Lowell evaluates the expression 4 + 3 × 5. What is the value?

  5. 5.A place-value chart in a Cambridge classroom shows 10 to the fourth power. What is the value of 10 to the fourth power?

  6. 6.On a coordinate grid of paths across Boston Common, a point is plotted at (2, 5). How is that point located from the origin?

  7. 7.A trail crew in the Berkshires has 4.2 liters of water to pour into bottles that each hold 0.7 liter. How many bottles can the crew fill?

  8. 8.A ferry leaving Salem departs the dock at 3:10 and arrives at 3:55. How long is the trip?

  9. 9.The water in a tide pool at Rockport is 6.47 meters deep at a marked post. Which digit is in the tenths place?

  10. 10.A rain gauge in a Carver cranberry bog shows 3.582 inches. Which digit is in the hundredths place?

  11. 11.A model whaleship at a museum in New Bedford is 2.906 meters long. Which digit is in the thousandths place?

  12. 12.Two sap buckets in Amherst hold 0.6 liter and 0.59 liter. Which statement is true?

  13. 13.A walking route along the Freedom Trail is 4.36 miles long. What is that length rounded to the nearest tenth of a mile?

  14. 14.A short ferry crossing near Hyannis is 7.48 miles. What is that distance rounded to the nearest whole mile?

  15. 15.A quilt displayed in Sturbridge measures 3.25 feet on one side. Which expression has the same value as 3.25?

  16. 16.A plaque in Concord gives a length as four and seventy-three thousandths meters. Which decimal matches that name?

  17. 17.A garden bed in Lexington is 4.7 meters long. On a drawing, every length is multiplied by 10. What is the length on the drawing?

  18. 18.An orchard in Stow packs 36.5 pounds of apples into 10 bags of equal weight. How many pounds are in each bag?

  19. 19.A weekly rainfall total at Quabbin Reservoir is recorded as 12.578 inches. What is the value of the digit 7?

  20. 20.Three sample jars of seawater from Gloucester contain 0.4 liter, 0.45 liter, and 0.39 liter. Which list shows the amounts from least to greatest?

  21. 21.Students in Waltham build a large cube that measures 10 small cubes along each edge. How many small cubes are in the large cube?

  22. 22.Gardeners mark a 10-by-10 grid of flower cells in the Public Garden. How many cells are in the grid?

  23. 23.A calculator display in a Boston library shows the product 10 × 10 × 10 × 10 × 10. What is that product?

  24. 24.A row of seats in a Fall River auditorium is labeled with powers of ten. The first seat is labeled 10 to the first power. What number belongs on that seat?

  25. 25.A parade banner designed in Quincy is 3.6 centimeters wide. The printer enlarges the width by multiplying by 100. What is the enlarged width?

  26. 26.A seed packet from a farm in Hadley has a mass of 0.45 kilogram. How many grams is that mass? Use 1 kilogram = 1,000 grams.

  27. 27.A roll of cloth at a mill in Lawrence is 82.4 meters long. It is cut into 100 pieces of equal length. How long is each piece?

  28. 28.On a map of Cape Ann, a distance of 6.2 centimeters is multiplied by 10 to the third power to estimate a real length in centimeters. What is the product?

  29. 29.A pie at a fair in West Springfield has 3/4 left. Someone serves a piece that is 1/2 of the whole pie. What fraction of the whole pie is left after that serving?

  30. 30.A trail sign in Middlesex Fells is painted so that 1/4 of the board is blue and 3/8 of the board is green. The colors do not overlap. What fraction of the board is blue or green?

  31. 31.A gardener in Wellesley starts with 5/6 of a bag of soil and uses 1/3 of a bag. How much of a bag is left?

  32. 32.A hiker near Mount Greylock walks 2 1/3 miles before lunch and 1 1/6 miles after lunch. How many miles does the hiker walk?

  33. 33.A candle maker in Ipswich starts with a candle that is 4 1/2 inches tall. The candle then burns down by 1 3/4 inches. How tall is the candle after it burns?

  34. 34.A recipe in the North End calls for 1/3 cup of tomatoes and 1/4 cup of oil. What is the least common denominator of 1/3 and 1/4?

  35. 35.A map of Nantucket shades 2/5 of one region. Which fraction names the same part of the region?

  36. 36.At a shop in Provincetown, a server scoops 1/2 cup of vanilla, 1/4 cup of berry, and 1/8 cup of maple ice cream into one bowl. How many cups are in the bowl?

  37. 37.A carpenter at a boatyard in Newburyport has a board that is 5/6 yard long and cuts off 1/4 yard. How long is the remaining piece?

  38. 38.In a relay in Brockton, one team has finished 3/5 of the course and another team has finished 2/3 of the course. Which fraction is greater?

  39. 39.Students in Framingham have painted 8/12 of a mural. What is 8/12 in simplest form?

  40. 40.A baker in Revere measures 11/4 cups of flour. Which mixed number equals 11/4?

  41. 41.A shoreline walk in Swampscott is 3 2/5 miles long. Which improper fraction equals 3 2/5?

  42. 42.Three scout groups in Somerville each collect 2/5 pound of trail mix. How many pounds do they collect altogether?

  43. 43.A gardener in Brookline uses 1/2 of a bag that contains 3/4 pound of seed. How many pounds of seed does the gardener use?

  44. 44.A rectangle drawn in a Newton classroom is 2/3 foot long and 3/5 foot wide. What is its area?

  45. 45.Of 20 students from Leominster on a museum trip, 4/5 brought a notebook. How many students brought a notebook?

  46. 46.A boat leaving Beverly travels 1 1/2 miles each hour. How far does it travel in 4 hours at that speed?

  47. 47.A family spends 2/3 of its $18 museum budget at the Museum of Science in Boston. How many dollars does the family spend?

  48. 48.Friends in East Boston eat 1/2 of the remaining 1/3 of a pizza. What fraction of the whole pizza do they eat?

  49. 49.A farm stand in the town of Harvard has 8 liters of cider, and customers buy 3/4 of it. How many liters do they buy?

  50. 50.A textile studio in Clinton has 5/2 yards of cloth, and 1/5 of that cloth is red. How many yards are red?

  51. 51.A class in Andover plants 2/7 of 21 seedlings before lunch. How many seedlings do the students plant?

  52. 52.A 1/4-pound block of fudge in Lenox is shared equally by 3 friends. How much fudge does each friend get?

  53. 53.A kitchen in Plymouth has 4 cups of chowder and serves it in 1/2-cup bowls. How many bowls can be filled?

  54. 54.A dockworker in Fairhaven has 6 yards of rope and cuts it into pieces that are each 1/3 yard long. How many pieces does the worker get?

  55. 55.One fifth of a cranberry pie in Wareham is shared equally by 2 people. What fraction of the whole pie does each person get?

  56. 56.A runner at Jamaica Pond wants to run 3 miles. Each lap is 1/4 mile. How many laps is that?

  57. 57.A 2/3-meter ribbon at a fair in Topsfield is cut into 4 equal pieces. How long is each piece?

  58. 58.Guides at the Old State House schedule half-hour tours during a 5-hour afternoon. How many half-hour tours fit in that time?

  59. 59.Three sandwiches are shared equally by 4 hikers on the Minuteman Bikeway. What decimal part of a sandwich does each hiker get?

  60. 60.On a map, the road from Medford to Winchester is shown as 2.4 miles and then 1.35 miles. What is the total of those two distances?

  61. 61.A tank at the New England Aquarium held 5.2 liters of water. Keepers used 1.75 liters. How many liters are left in the tank?

  62. 62.Kayaks on the Charles River are reserved for 1.5 hours at a time. A club makes 6 reservations of that length. How many hours is that altogether?

  63. 63.A flower bed along Commonwealth Avenue is 0.3 meter long and 0.5 meter wide. What is the area of the bed?

  64. 64.A sugarhouse in Charlemont has 6.3 liters of maple syrup to pour into jars that each hold 0.9 liter. How many jars can be filled?

  65. 65.A market in Chatham has 8.4 pounds of cod to pack into 2 boxes of equal weight. How many pounds go in each box?

  66. 66.A lunch counter in Essex sells a bowl of chowder for $3.25. What is the cost of 4 bowls?

  67. 67.One rain gauge in Greenfield collects 0.5 inch, 0.25 inch, and 0.125 inch during three separate periods of one storm. What is the total rainfall?

  68. 68.One loop near Walden Pond is 2.4 kilometers. A longer loop is 1.5 times as long. How long is the longer loop?

  69. 69.A small signal flag for a regatta in Marblehead is a rectangle 0.6 meter by 0.3 meter. What is the area of the flag?

  70. 70.A student in Malden pays $6.45 for a notebook with a $10 bill. How much change should the student receive?

  71. 71.Four friends in Boston share an $8.40 harbor cruise fare equally. How much does each friend pay?

  72. 72.A packing crate in Chicopee is 6 units long, 3 units wide, and 2 units high. What is its volume?

  73. 73.A planter at the Arnold Arboretum has a base area of 12 square feet and a height of 3 feet. What is the volume of the planter?

  74. 74.A bin at a farm stand in Littleton has a volume of 60 cubic units. Its length is 5 units and its width is 4 units. What is its height?

  75. 75.A model in a Fitchburg classroom is built from 4 layers, and each layer has 8 unit cubes. What is the volume of the model?

  76. 76.A museum display in Agawam is made of two rectangular blocks that do not overlap. One block is 4 by 3 by 2, and the other is 3 by 2 by 2. What is the total volume?

  77. 77.A storage cube in a Chelsea classroom has edges that are each 3 units long. What is the volume of the cube?

  78. 78.For a beach day in Falmouth, cooler A measures 8 by 2 by 2 units and cooler B measures 5 by 3 by 2 units. Which statement is true?

  79. 79.A specimen box at a pier in Woods Hole is 10 centimeters long, 2 centimeters wide, and 1 centimeter high. What is its volume?

  80. 80.A gift box at a shop on Newbury Street is filled with 1-inch cubes. The box is 5 inches long, 2 inches wide, and 2 inches high. How many 1-inch cubes fill it?

  81. 81.The scoreboard equation in a Lynn gym is (4 + 3) × 5. What is its value?

  82. 82.A ticket window in Easthampton uses the expression 20 − 4 × 3 to find how many tickets are left. What is the value of the expression?

  83. 83.Players in Haverhill score points with the expression 18 ÷ 3 + 2. What is the value?

  84. 84.A quilt pattern in Deerfield uses the expression 2 × (8 − 3) + 4. What is the value?

  85. 85.A band drill in Natick is counted with the expression 12 ÷ 2 × 3. What is the value when multiplication and division are done from left to right?

  86. 86.Students in Braintree are told to add 5 and 3, then multiply the sum by 2. Which expression matches those steps?

  87. 87.A puzzle card at a library in Milton shows 30 − [4 × (2 + 3)]. What is the value?

  88. 88.An outdoor concert in Great Barrington has 7 rows with 2 seats and 6 rows with 3 seats. How many seats are there?

  89. 89.Six boats leave Barnstable Harbor. Each boat carries 4 adults and 1 child. How many people are on the boats?

  90. 90.On a coordinate map of Beacon Hill, a fountain is 4 units to the right of the origin and 1 unit up. Which ordered pair names the fountain?

  91. 91.On a coordinate grid of the Esplanade, the horizontal and vertical axes meet at the origin. Which ordered pair is the origin?

  92. 92.A bench on a coordinate map of the Rose Kennedy Greenway is plotted at (6, 0). Which statement describes the bench?

  93. 93.A kite over Crane Beach is plotted at (3, 7) on a coordinate grid. What is the y-coordinate of the kite?

  94. 94.Two buoys in Boston Harbor are plotted at (1, 4) and (6, 4). How many units apart are the buoys?

  95. 95.A graph of ferry stops from Hingham uses the rule that the y-coordinate is 2 more than the x-coordinate. Which point fits the rule when the x-coordinate is 3?

  96. 96.On a drawing of a house in Danvers, two windows are plotted at (2, 1) and (2, 8). Which statement is true?

  97. 97.A marker on a Freedom Trail map is 5 units right and 3 units up from the origin. Which ordered pair names the marker?

  98. 98.On a coordinate grid of Franklin Park, a squirrel starts at (1, 2), moves 3 units right, and then moves 4 units up. Which point is the ending position?

  99. 99.A train leaves Worcester at 9:20 and arrives in Boston at 11:20. How long is the ride?

  100. 100.A science lab in Holyoke starts at 2:40 and ends at 3:15. How long does the lab last?

  101. 101.A historic doorway in Duxbury is 3 feet wide. How many inches wide is the doorway? Use 1 foot = 12 inches.

  102. 102.A family bikes 2.5 kilometers on the Cape Cod Rail Trail. How many meters is that distance? Use 1 kilometer = 1,000 meters.

  103. 103.A bell at the Old North Church rings for 3 minutes. How many seconds is that? Use 1 minute = 60 seconds.

  104. 104.A craft table in Stockbridge records these ribbon lengths in feet: 1/4, 1/2, 1/2, 3/4, and 1/2. Which length appears most often?

  105. 105.A geometry poster in Needham compares quadrilaterals. Which statement is true?

  106. 106.Trail markers in Groton follow a pattern. The first marker is numbered 4, and each marker after that is 6 more than the one before it. What number is on the fifth marker?

  107. 107.A theater in Pittsfield has 24 rows with 15 seats in each row. How many seats are in the theater?

  108. 108.A school in Taunton packs 276 pencils into boxes of 12. How many boxes are filled?