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New Jersey Student Learning Assessments Mathematics Grade 5

Decimals, fraction operations, volume, and numerical expressions.

These questions are original. This is not an official New Jersey Student Learning Assessment, and FreeExam is not affiliated with the New Jersey Department of Education.

  1. 1.A survey crew in Newark records a bridge clearance of 4.738 meters. In 4.738, which place does the digit 7 occupy?

  2. 2.A balance in a Hoboken science room shows a sample mass of 6.503 grams. What is the value of the digit 3?

  3. 3.A tide board at Sandy Hook lists a water-level change of 12.046 feet. Which digit is in the thousandths place?

  4. 4.A botanist in the Pine Barrens compares needle lengths of 0.4 centimeter and 0.04 centimeter. The digit 4 in 0.04 is how large compared with the digit 4 in 0.4?

  5. 5.A trail sign near the Delaware Water Gap gives a distance of 5.307 miles. Which expression is the expanded form of 5.307?

  6. 6.Four buoy readings are posted at a Cape May harbor. Which reading has a 9 in the thousandths place?

  7. 7.A student in Montclair writes the decimal name eight and forty-six thousandths. Which numeral matches that name?

  8. 8.A rain gauge in Jersey City shows 7.777 inches. The 7 in the tenths place is how many times the 7 in the thousandths place?

  9. 9.Two crossing times from Weehawken are listed as 3.45 minutes and 3.405 minutes. Which statement is true?

  10. 10.A carpenter in Edison measures a board as 6.748 meters and rounds the length to the nearest hundredth of a meter. What is the rounded length?

  11. 11.A runner at a meet in Princeton records a split of 12.351 seconds. What is that time rounded to the nearest tenth of a second?

  12. 12.A chemist in New Brunswick measures 0.996 liter of solution and rounds to the nearest hundredth of a liter. What is the rounded measure?

  13. 13.A shop in Cherry Hill prices three ribbons at $2.09, $2.9, and $2.19 per yard. Which list shows the prices from least to greatest?

  14. 14.A counter at a concert in Red Bank reads 48.62, and the staff rounds that reading to the nearest whole number. What whole number do they record?

  15. 15.A map of the Palisades shows trail sections of 1.608 kilometers and 1.68 kilometers. Which symbol makes 1.608 ___ 1.68 true?

  16. 16.A lab scale in Summit shows 4.2763 grams. What is that mass rounded to the nearest thousandth of a gram?

  17. 17.A baker in Hoboken combines 4.75 pounds of flour with 2.38 pounds of sugar. What is the total weight of the two ingredients?

  18. 18.A student in Elizabeth starts with $10.00 on a lunch card and spends $3.46. How much money is left on the card?

  19. 19.A cyclist near Fort Lee rides 8.6 miles along the drive and then 0.47 mile farther to a lookout. How many miles is the whole ride?

  20. 20.A spool in a Bayonne shop holds 15.2 meters of wire. After a worker cuts off 6.85 meters, how many meters remain on the spool?

  21. 21.Three jars at a market in Morristown hold 2.09 liters, 3.4 liters, and 0.55 liter of cider. How many liters are in the jars altogether?

  22. 22.A tank at Liberty State Park holds 20.05 gallons in the morning. By noon, visitors have used 7.8 gallons. How many gallons are left?

  23. 23.On a Pine Barrens trail, one marker is at mile 6.38 and an earlier marker is at mile 4.09. How many miles apart are the two markers?

  24. 24.In a Westfield craft class, one ribbon is 0.76 meter long and another is 0.89 meter long. What is the combined length?

  25. 25.A print shop in Newark packs 24 flyers in each bundle and ships 36 bundles to city offices. How many flyers are shipped?

  26. 26.A warehouse in Secaucus stores 408 boxes on each of 17 shelves. How many boxes are on the shelves altogether?

  27. 27.A choir in Princeton has 1,176 concert tickets to divide equally among 14 rows. How many tickets does each row receive?

  28. 28.A farm stand in Freehold packs 2,475 apples into bags with 25 apples in each bag. How many full bags does the stand make?

  29. 29.Each of 135 students at a school in Camden brings 48 box tops. How many box tops do the students bring in all?

  30. 30.Volunteers in Paterson divide 3,042 cans of food equally into 18 crates. How many cans go into each crate?

  31. 31.A ferry from Jersey City carries 86 passengers on each of 205 crossings in one week. How many passengers ride during that week?

  32. 32.A library in Maplewood places 4,256 bookmarks equally into 16 bins. How many bookmarks are in each bin?

  33. 33.A cook in Asbury Park mixes 1/3 cup of oats with 1/4 cup of raisins. How many cups of the two foods are in the bowl?

  34. 34.A painter in Clifton has 5/6 gallon of paint and uses 1/4 gallon on a door. How much paint is left?

  35. 35.Two fabric strips in a Perth Amboy classroom measure 2/5 yard and 3/10 yard. What is their total length?

  36. 36.Mina plans to read 3/4 of a novel for a club in Teaneck, and she has already read 2/3 of the novel. What fraction of the novel does she still need to read to reach 3/4?

  37. 37.A relay team in Toms River runs 1 1/2 miles and then runs 2 2/5 miles. How many miles does the team run altogether?

  38. 38.A dock rope in Cape May is 4 1/6 feet long. A sailor cuts off 1 3/4 feet. How much rope is left?

  39. 39.A gardener in Millburn mixes 5/8 pound of clover seed with 1/6 pound of rye seed. How many pounds of seed is that in all?

  40. 40.A bottle in a Hackensack lab is 7/10 full. A student pours out an amount equal to 1/2 of the bottle. What fraction of the bottle is still full?

  41. 41.A mural in Jersey City covers 3/4 of a wall, and blue paint covers 2/5 of the mural. What fraction of the wall is blue?

  42. 42.Each of 4 scouts at a campout in Morristown drinks 2/3 cup of cocoa. How many cups do the scouts drink altogether?

  43. 43.A recipe used in Princeton calls for 5/6 cup of milk, and the class makes 3 times that recipe. How many cups of milk does the class use?

  44. 44.At a party in Bloomfield, 9/10 of a pizza is left, and the guests eat 2/3 of the pizza that is left. What fraction of the whole pizza do the guests eat?

  45. 45.Seven friends in Union City each take 1/5 of a melon. How many melons do they take in all?

  46. 46.A garden bed in Somerville covers 3/5 of an acre, and beans fill 5/6 of that bed. What fraction of an acre is planted in beans?

  47. 47.A board in a Linden workshop is 2 1/4 feet long. A student marks off 1/3 of the board for a shelf support. How long is the marked part?

  48. 48.A cafe in Hoboken sells 8 muffins, and each muffin weighs 3/4 pound. What is the total weight of the muffins?

  49. 49.A shop in West Orange cuts a 1/3-pound block of cheese into 4 equal pieces. What is the weight of each piece?

  50. 50.A coach in Paramus has 5 liters of water to pour into bottles that each hold 1/3 liter. How many bottles can be filled?

  51. 51.A 1/2-yard ribbon in a Chatham class is shared equally by 6 students. What fraction of a yard does each student receive?

  52. 52.A baker in Flemington has 4 cups of berries and uses 1/5 cup of berries for each tart. How many tarts can the baker make?

  53. 53.A 1/8-mile stretch of boardwalk in Ocean City is split into 2 equal timing zones for a race. How long is each zone?

  54. 54.A trail crew near Watchung Reservation has 6 pounds of wildflower seed and puts 1/4 pound into each packet. How many packets can the crew fill?

  55. 55.At a fair in Belmar, 1/5 of a pizza is shared equally by 3 children. What fraction of the whole pizza does each child get?

  56. 56.A gardener in Madison cuts a 9-yard length of twine into pieces that are each 1/2 yard long. How many pieces does the gardener get?

  57. 57.Students in Newark evaluate the expression (8 + 4) × 3. What is the value?

  58. 58.A scoreboard program in Trenton computes 30 − (6 + 9). What is the value?

  59. 59.A worksheet in Edison asks for the value of 4 × (12 − 5) + 6. What is that value?

  60. 60.A clerk in Camden evaluates 2 × (15 − 3 × 4). What is the result?

  61. 61.What is the value of 5 + 3 × (8 − 6) on a worksheet in New Brunswick?

  62. 62.An expression on a poster in Asbury Park is (9 + 6) ÷ 3 − 2. What is its value?

  63. 63.A seating chart in Cherry Hill uses the expression 48 ÷ (4 × 2). What is the value?

  64. 64.A class in Wayne buys 3 boxes with 12 markers in each box and then gives away 5 markers. Which expression represents the number of markers left?

  65. 65.A count of ferry riders in Hoboken starts at 4, and each next count is 6 more than the one before it. If 4 is the first term, what is the fifth term?

  66. 66.Pattern A starts at 0 and adds 4. Pattern B starts at 0 and adds 8. When the term in Pattern A is 12, what is the corresponding term in Pattern B?

  67. 67.A savings pattern in a Summit classroom has a first term of 3, and each next term is 2 times the term before it. What is the fourth term?

  68. 68.Numbers posted in a Plainfield gym form the pattern 5, 9, 13, 17. Which rule describes how each term is made from the term before it?

  69. 69.A lap countdown at a pool in Livingston starts at 60, and each next term is 7 less than the term before it. If 60 is the first term, what is the third term?

  70. 70.Pattern J starts at 1 and adds 2. Pattern K starts at 3 and adds 2. Corresponding terms form ordered pairs (J, K). Which pair appears?

  71. 71.A number pattern for a club in Ridgewood starts at 2, and each next term is 5 more than the term before it. Which of these numbers is a term in the pattern?

  72. 72.Pattern P starts at 2 and adds 3. Pattern Q starts at 6 and adds 9. How does each term of Q compare with the corresponding term of P?

  73. 73.A bookshelf built for a Newark classroom is 6 feet tall. How many inches tall is the bookshelf?

  74. 74.A bike path beside the Raritan River is 3 kilometers long. How many meters long is the path?

  75. 75.A sack of apples at a farm in Chester weighs 5 pounds. How many ounces does the sack weigh?

  76. 76.A cooler at Island Beach State Park holds 2,500 milliliters of water. How many liters is that?

  77. 77.A parade banner in Hoboken is 9 yards long. How many feet long is the banner?

  78. 78.A diner in Jersey City prepares 6 quarts of soup. How many cups of soup is that?

  79. 79.A jumping mark at a track meet in Elizabeth is 4.5 meters from the board. How many centimeters is that distance?

  80. 80.A gardener in Red Bank mixes 2 gallons of plant-food solution. How many pints is that?

  81. 81.A line plot of pencil lengths in a Paterson class has two X marks at 4 1/4 inches, three X marks at 4 1/2 inches, and one X mark at 4 3/4 inches. How many pencils were measured?

  82. 82.On a line plot of bean-plant heights in a Princeton classroom, the shortest height shown is 2/8 foot and the tallest is 6/8 foot. What is the difference between those heights?

  83. 83.A line plot of daily rainfall in Cape May has three X marks at 1/4 inch, two X marks at 1/2 inch, and one X mark at 3/4 inch. What is the total rainfall?

  84. 84.Students in Montclair plotted jump distances of 3 1/8, 3 1/8, 3 2/8, 3 4/8, 3 4/8, and 3 5/8 feet. How many jumps were 3 4/8 feet or longer?

  85. 85.Four seedlings in a Toms River garden are plotted at 1/2 foot, 1/2 foot, 3/4 foot, and 1/4 foot. If those heights are combined and shared equally, what height does each seedling get?

  86. 86.A line plot of book weights in a South Orange library shows one book at 1/8 pound, four books at 2/8 pound, and two books at 3/8 pound. Which weight has the most books?

  87. 87.Six classmates in Hackensack plotted reading times of 1/4 hour, 1/4 hour, 2/4 hour, 2/4 hour, 2/4 hour, and 3/4 hour. What is the total for the students who read more than 1/4 hour?

  88. 88.A Newark warehouse crate is 9 feet long, 4 feet wide, and 3 feet tall. What is the volume of the crate?

  89. 89.A box in a Jersey City classroom is filled with 1-inch cubes in 5 layers, and each layer has 6 rows of 4 cubes. What is the volume of the box?

  90. 90.A storage bin in Trenton has a volume of 240 cubic centimeters. Its base is 8 centimeters by 5 centimeters. What is the height of the bin?

  91. 91.Two planters in Princeton are right rectangular prisms. Planter A measures 10 inches by 3 inches by 2 inches. Planter B measures 5 inches by 4 inches by 3 inches. Which statement is true?

  92. 92.The base of a shipping carton in Elizabeth has an area of 18 square feet, and the carton is 4 feet tall. What is the volume of the carton?

  93. 93.A display case in Atlantic City is 8 feet long, 2 feet wide, and 3 feet high. How many 1-foot cubes fill the case without gaps or overlaps?

  94. 94.A toy box in Morristown is 12 inches long, 7 inches wide, and 5 inches high. What is the volume of the toy box?

  95. 95.A sign maker in Hoboken draws a four-sided figure with both pairs of opposite sides parallel and with four right angles. Neighboring sides have different lengths. Which description matches the figure?

  96. 96.A teacher in Camden asks which statement about squares and rectangles is always true.

  97. 97.A window in a chapel in Princeton has exactly 8 sides. What is the name of an 8-sided polygon?

  98. 98.A floor tile in Bayonne has both pairs of opposite sides parallel and equal. Neighboring sides have different lengths, and the angles are not right angles. Which statement is true?

  99. 99.Students in Millburn sort shapes. Which figure is a regular polygon?

  100. 100.Which figure always has four right angles?

  101. 101.A pennant hanging in a gym in East Brunswick has three sides, and all three sides are the same length. What kind of triangle is the pennant?

  102. 102.On a map of a park in Trenton, the origin is the front gate. A fountain is plotted at (4, 7). How is the fountain located from the gate?

  103. 103.From the origin on a grid of paths at Liberty State Park, a bench is 6 units to the right and 2 units up. Which ordered pair names the bench?

  104. 104.Two snack stands on an Ocean City boardwalk grid are at (2, 5) and (2, 9). How many units apart are the stands?

  105. 105.A coordinate grid for a nature trail in Cape May uses the first quadrant, including the axes. Which ordered pair lies on the x-axis?

  106. 106.On a grid for a bike club in Wayne, the y-coordinate of each plotted point is 3 more than the x-coordinate. Which point follows that rule?

  107. 107.A rectangle drawn in the first quadrant has corners at (1, 2), (1, 6), and (5, 2). What are the coordinates of the fourth corner?

  108. 108.A field grid in Freehold has a water jug at (3, 5). A cone is placed 2 units to the right of the jug and at the same height on the grid. Which ordered pair names the cone?