FreeExam

New York State Testing Program Mathematics Grade 5

Decimals, fraction operations, volume, and numerical expressions.

These questions are original. This is not an official New York State Testing Program test, and FreeExam is not affiliated with the New York State Education Department.

  1. 1.A trail sign at Saratoga Springs lists a walking loop of 3.478 miles. What is the value of the digit 7?

  2. 2.Creek water measured for an Ithaca lab totaled 2.605 liters. Which expression is the expanded form of 2.605?

  3. 3.A cocoa tin at a Rochester bakery is marked 0.309 kilogram. Which words name that decimal?

  4. 4.In the snowfall reading 14.082 inches on an Albany weather model, the digit 8 is in which place?

  5. 5.Harbor workers in Buffalo record a depth of 6 ones, 4 tenths, and 2 thousandths of a meter. Which decimal shows that depth?

  6. 6.A picture book at the Syracuse library is 1.736 inches thick. What is the value of the digit 3?

  7. 7.A stopwatch at a Yonkers track meet reads 0.058 second. That time equals how many thousandths of a second?

  8. 8.A science kit delivered in Poughkeepsie has a mass of 4.073 kilograms. Which sum equals 4.073?

  9. 9.A bridge inspector in Troy described a gap as nine and forty-six thousandths meters. What is the standard form?

  10. 10.A map scale printed in Kingston uses 5.618. Which digit is in the thousandths place?

  11. 11.A Plattsburgh lab rewrites 7.2 so the thousandths place is shown. Which decimal is equivalent to 7.2?

  12. 12.Two seed packets used in Newburgh weigh 0.74 pound and 0.704 pound. Which statement is true?

  13. 13.Rain in Binghamton totaled 3.462 inches. What is 3.462 rounded to the nearest tenth?

  14. 14.An Elmira market scale shows 8.274 kilograms of apples. What is that mass rounded to the nearest hundredth?

  15. 15.Buoys near Oswego list depths of 2.15 meters, 2.105 meters, and 2.5 meters. Which list is ordered from least to greatest?

  16. 16.A road crew in Watertown patched 12.608 miles of pavement. What is 12.608 rounded to the nearest whole number?

  17. 17.Which reading could show on a Schenectady bus odometer if it is greater than 0.58 mile and less than 0.6 mile?

  18. 18.A print shop in Utica used 6.049 liters of ink. What is 6.049 rounded to the nearest tenth?

  19. 19.Crafters in White Plains compare ribbon lengths of 1.308 meters and 1.38 meters. Which comparison is correct?

  20. 20.A Niagara Falls exhibit lists 15.996 inches of rain in a model year. What is 15.996 rounded to the nearest hundredth?

  21. 21.Catskill trail signs show 0.9 mile, 0.89 mile, 0.809 mile, and 0.98 mile. Which distance is the shortest?

  22. 22.A ferry log in Hudson shows 4.251 hours of travel. What is 4.251 rounded to the nearest tenth of an hour?

  23. 23.A Riverhead farm stand sold 3.45 pounds of peaches and 2.8 pounds of pears. What was the total weight?

  24. 24.A bike shop in Brooklyn had 10.6 meters of chain and used 4.75 meters. How much chain is left?

  25. 25.Each of 8 mural panels in Flushing takes 0.6 liter of paint. How much paint do all 8 panels use?

  26. 26.Gardeners share 7.2 kilograms of soil equally among 6 beds in the Bronx. How much soil does each bed get?

  27. 27.A lab on Staten Island mixes 0.437 liter of solution with 0.28 liter of water. What is the combined volume?

  28. 28.At a stationery shop in Harlem, a notebook costs $6.50 and a pen set costs $2.85. How much more does the notebook cost?

  29. 29.Tickets for a canal concert in Lockport cost $4.25 each. What is the cost of 6 tickets?

  30. 30.A baker in Cohoes cuts a 9.6-meter ribbon into pieces that are each 0.8 meter long. How many pieces does the ribbon make?

  31. 31.Rain gauges around Canandaigua collected 1.25 inches, 0.6 inch, and 2.08 inches. What is the sum?

  32. 32.Each of 12 seedling trays in a Cortland greenhouse receives 0.35 liter of water. How much water is used?

  33. 33.Before a repair, a canoe in Skaneateles weighed 14.05 kilograms. After the repair it weighed 12.8 kilograms. How much mass was removed?

  34. 34.Campers at Lake George pour 4.5 liters of juice equally into 5 bottles. How much juice goes in each bottle?

  35. 35.A school in Jamestown orders 24 boxes with 36 pencils in each box. How many pencils are ordered?

  36. 36.The Beacon library places 1,275 books equally on 15 shelves. How many books go on each shelf?

  37. 37.A workshop in Endicott packs 148 tiles in a crate and ships 27 crates. How many tiles are shipped?

  38. 38.A bus route through Corning is 1,764 blocks long and is split into 12 equal sections. How many blocks are in one section?

  39. 39.The marina at Sackets Harbor rents 35 kayaks on each of 16 weekends. How many kayak rentals is that?

  40. 40.An orchard near Alexandria Bay packs 2,016 apples into bags of 24. How many bags are filled?

  41. 41.A print shop in Rome, New York, prints 18 pages for each of 45 program packets. How many pages are printed?

  42. 42.Volunteers in Saugerties fold 3,045 newsletters into equal stacks of 15. How many stacks do they make?

  43. 43.A bakery in Saranac Lake bakes 64 muffins each morning for 23 mornings. How many muffins are baked?

  44. 44.Park workers in Amsterdam, New York, divide 1,848 seedlings equally among 14 gardens. How many seedlings does each garden get?

  45. 45.Concert programs in Oneonta are packed 125 to a box. How many programs are in 32 boxes?

  46. 46.A food drive in Ossining collected 5,220 cans to pack in cases of 36. How many full cases is that?

  47. 47.A hiker near Phoenicia walked 2/3 mile before lunch and 1/4 mile after lunch. How far did the hiker walk in all?

  48. 48.A painter in Tivoli had 5/6 gallon of paint and used 1/2 gallon on a porch rail. How much paint is left?

  49. 49.Students in Montauk ate 3/8 of a pizza at lunch and 1/3 of that same pizza later. What fraction of the pizza did they eat?

  50. 50.A baker at Coney Island had 7/8 cup of sugar and scooped out 1/4 cup. How much sugar is left?

  51. 51.Gardeners in Rockaway planted flowers in 2/5 of a bed and vegetables in 1/2 of the bed. What fraction of the bed is planted?

  52. 52.Practice in Mott Haven lasted 3/4 hour, while the warm-up lasted 1/6 hour. How much longer was practice than the warm-up?

  53. 53.Hikers leaving St. George drank 1/2 liter of water before a walk and 3/10 liter during the walk. How much water did they drink?

  54. 54.An art class in Chelsea had 5/6 yard of fabric and cut off 2/9 yard. How much fabric is left?

  55. 55.Potters in Tonawanda combine 1/3 pound of clay from one tub with 3/5 pound from another tub. How many pounds of clay is that?

  56. 56.A juice stand in Kinderhook had 11/12 gallon of cider and served 1/3 gallon. How much cider is left?

  57. 57.Volunteers in Fairport painted 5/8 of a mural on Monday and 1/6 of the mural on Tuesday. What fraction of the mural is painted?

  58. 58.On a track in Fayetteville, one runner completed 9/10 of a lap and another completed 1/4 of a lap. How much farther did the first runner go?

  59. 59.One batch of granola in Trumansburg uses 3/4 cup of oats. How many cups of oats are needed for 5 batches?

  60. 60.Flags cover 2/3 of a 3/5-mile path in a Glens Falls park. What fraction of a mile has flags?

  61. 61.A class in New Rochelle reads 4/5 of a 40-page booklet. How many pages do the students read?

  62. 62.In a Hyde Park garden, tulips fill 3/8 of the flower section, and the flower section is 1/2 of the whole plot. What fraction of the plot is tulips?

  63. 63.Each of 7 hikers leaving Warwick carries 2/3 pound of snacks. How many pounds do they carry altogether?

  64. 64.A poster in Johnson City is 3/4 foot wide and 2/5 foot tall. What is the area of the poster?

  65. 65.A model train in Hammondsport is 1/6 as long as a 48-inch display track. How many inches long is the model?

  66. 66.Sailors in Fair Haven painted 5/6 of a dock, and 1/2 of the painted part got a second coat. What fraction of the dock got a second coat?

  67. 67.A soup recipe in Pulaski uses 5/8 cup of milk. How much milk is needed to triple the recipe?

  68. 68.Students in a Lansingburgh woodshop use 2/3 of a 9-foot board. How many feet of the board do they use?

  69. 69.Each side of a quilt square made in Woodstock measures 3/5 foot. What is the area of the square?

  70. 70.A cook at Tupper Lake divides 1/3 pound of cheese into 4 equal snacks. How much cheese is in each snack?

  71. 71.Scouts in Cobleskill pour 5 liters of water into bottles that each hold 1/4 liter. How many bottles do they fill?

  72. 72.Bakers in Clinton, New York, split 1/2 pan of cornbread equally among 3 tables. What fraction of the pan does each table get?

  73. 73.Decorators in Tarrytown cut 6 yards of ribbon into pieces that are each 1/3 yard long. How many pieces do they get?

  74. 74.At a picnic in Haines Falls, 1/4 of a watermelon is shared equally by 5 campers. What fraction of the whole watermelon does each camper get?

  75. 75.A farm in Germantown fills jars from 8 cups of syrup, and each jar holds 1/2 cup. How many jars are filled?

  76. 76.Two hikers in Lewiston share 1/5 kilogram of trail mix equally. How much does each hiker get?

  77. 77.Clammers in Greenport pack 7 pounds of clams into bags that each hold 1/8 pound. How many bags do they fill?

  78. 78.An art club in Bay Ridge divides 1/6 liter of glaze equally into 2 cups. How much glaze goes into each cup?

  79. 79.Park workers in Jackson Heights have 4 hours for activities that each last 1/3 hour. How many activities can they schedule?

  80. 80.A lab in Hunts Point splits 1/8 liter of solution equally into 4 test tubes. What fraction of a liter is in each tube?

  81. 81.A Buffalo warehouse crate is 8 feet long, 5 feet wide, and 4 feet high. What is its volume?

  82. 82.A shipping box leaving Rensselaer is 9 inches long, 4 inches wide, and 3 inches high. What is the volume of the box?

  83. 83.An aquarium tank in Pittsford is 6 feet long, 2 feet wide, and 3 feet high. How much water can the tank hold?

  84. 84.A storage bin in Liverpool, New York, has a volume of 240 cubic centimeters. Its base is 8 centimeters by 5 centimeters. What is the height?

  85. 85.A model built in Dryden is packed with unit cubes in 7 layers. Each layer has 4 rows of 6 cubes. How many unit cubes fill the model?

  86. 86.A gift box sold in Ballston Spa is 10 centimeters long, 3 centimeters wide, and 5 centimeters high. What is its volume?

  87. 87.A planter built in Hastings-on-Hudson has a base area of 28 square inches and a height of 6 inches. What is its volume?

  88. 88.A classroom bin in Wappingers Falls is 12 inches long, 5 inches wide, and 2 inches high. What is the volume of the bin?

  89. 89.A toolbox in Goshen holds 180 cubic inches. It is 5 inches wide and 4 inches high. What is its length?

  90. 90.A stage prop in Vestal is made from two rectangular prisms. One is 6 feet by 2 feet by 2 feet, and the other is 4 feet by 2 feet by 3 feet. What is the total volume?

  91. 91.A scorekeeper in Horseheads evaluates 4 × (9 − 3) + 5. What is the value of the expression?

  92. 92.Ticket sellers in Central Square compute (18 + 6) ÷ 3 × 2. What value do they get?

  93. 93.Students in Carthage simplify 7 + 3 × (12 − 8). What is the result?

  94. 94.A clerk in Waterford finds the value of (5 × 4) + (30 ÷ 5). What is that value?

  95. 95.A teacher in Red Hook calculates 2 × (15 − 6) + 4 × 3. What is the value?

  96. 96.Rowers on a lake near Keene evaluate 48 ÷ (4 × 2) + 7. What is the value of the expression?

  97. 97.For a seating chart in Niskayuna, students compute (9 + 7) × 2 − 10. What is the result?

  98. 98.Librarians in New Hartford evaluate 100 − (6 × 8 + 4). What value do they obtain?

  99. 99.Students in Scarsdale find the value of 5 × (3 + 4) − (18 ÷ 2). What do they get?

  100. 100.A trail guide in Palenville adds 8 and 4, multiplies that sum by 3, and then subtracts 6. What number do those steps give?

  101. 101.On a first-quadrant map of Coxsackie, a dock is plotted at (3, 7). Which description matches that point?

  102. 102.On a first-quadrant map near Youngstown, a lookout is 5 units to the right of the origin and 2 units up. What are its coordinates?

  103. 103.On an Amagansett harbor grid, a lighthouse is at (8, 4) and a buoy is at (8, 9). How many units apart are the two points?

  104. 104.A fountain on a Park Slope map is plotted at (6, 1). The 6 in that ordered pair measures which distance from the origin?

  105. 105.Students in Astoria mark a garden gate 4 units right and 9 units up from the origin on a first-quadrant grid. Which ordered pair is the gate?

  106. 106.On a zoo map in Belmont, the reptile house is at (2, 6) and the bird house is at (7, 6). What is the distance between those points?

  107. 107.A ferry slip on a Stapleton grid is at (1, 8). Which move from the origin reaches that slip?

  108. 108.In the first quadrant, students in Inwood plot a library at (4, 3) and a museum at (4, 10). How many units above the library is the museum?