FreeExam

Pennsylvania System of School Assessment Mathematics Grade 5

Decimals, fraction operations, volume, and numerical expressions.

These questions are original. This is not an official Pennsylvania System of School Assessment test, and FreeExam is not affiliated with the Pennsylvania Department of Education.

  1. 1.A Harrisburg weather notebook lists 3.748 inches of rain. What is the value of the digit 8?

  2. 2.Which expression is the expanded form of the 6.305 inches shown on a Reading rain gauge?

  3. 3.Cheese cut at Lancaster Central Market weighs 2.046 kilograms. Which words name that weight?

  4. 4.Two flour sacks in a Scranton bakery are labeled 4.7 pounds and 4.68 pounds. Which comparison is correct?

  5. 5.An Erie ferry log records a crossing of 5.64 miles. What is 5.64 rounded to the nearest tenth?

  6. 6.Surveyors measured a Bethlehem clock tower at 12.53 meters and rounded that height to the nearest whole number. What height did they record?

  7. 7.Round the York garden-hose length 8.276 meters to the nearest hundredth.

  8. 8.Put these State College sample masses in order from least to greatest: 0.52 kg, 0.6 kg, and 0.508 kg.

  9. 9.A Wilkes-Barre trail crew walks 2.35 miles before lunch and 1.8 miles after lunch. How far do they walk altogether?

  10. 10.Selling fudge at a Gettysburg stand removes 3.75 pounds from a 9.4-pound block. How much fudge is left?

  11. 11.Ink for posters at an Allentown shop is measured at 0.25 liter for each poster. How much ink do 6 posters use?

  12. 12.Find the area of a Hershey greenhouse pane that is 1.2 meters wide and 0.8 meter tall.

  13. 13.Apples at an Elizabethtown farm stand weigh 8.4 pounds and are split equally into 4 crates. How many pounds go in each crate?

  14. 14.How many 0.3-kilometer spaces fit along a 3.6-kilometer walking path in Pottsville?

  15. 15.Match the words on an Easton place-value card, four and seven hundred five thousandths, to a decimal.

  16. 16.A tank at a Philadelphia aquarium holds 0.045 kiloliter of water. What is that amount multiplied by 100?

  17. 17.Compare the river depths posted at a Johnstown museum: 3.209 meters and 3.29 meters. Which depth is greater?

  18. 18.A Chambersburg poster rounds the mileage 15.462 to the nearest tenth. Which number is printed?

  19. 19.Add the stall weights at a Middletown market: 1.25 pounds of pretzels, 0.6 pound of nuts, and 2.075 pounds of dried apples.

  20. 20.Miles still to walk on a Pocono trail run from mile 9.85 to a shelter at mile 14.2. How far is the shelter?

  21. 21.Notebooks shipped to a Pittsburgh school come in 24 boxes, and each box holds 36 notebooks. How many notebooks arrive?

  22. 22.Jars packed in a Wyomissing warehouse fill 128 cases, with 15 jars in every case. How many jars is that?

  23. 23.Choir programs in Nazareth are lined up 18 to a row, and 756 programs are printed. How many rows does that make?

  24. 24.Buses in Columbia each seat 25 students. How many full buses are needed for exactly 1,275 students?

  25. 25.Printed pages for a Hanover job include 47 copies of a 23-page packet. How many pages are printed?

  26. 26.Daily tickets at an Edinboro museum come from 864 tickets shared equally across 12 days. How many tickets are planned for each day?

  27. 27.Seedlings planted in Camp Hill fill 34 beds, and each bed receives 216 seedlings. How many seedlings are planted?

  28. 28.Cartons of cans collected in Philadelphia each hold 32 cans. How many full cartons come from 2,016 cans?

  29. 29.A mixing bowl in Lititz receives 1/2 cup of milk and 1/3 cup of cream. How much liquid is in the bowl?

  30. 30.Seeds remaining in a Kennett Square sack start at 3/4 pound, and 1/6 pound is planted. How much seed is left?

  31. 31.Walking distance at Gettysburg is 2 1/4 miles in the morning and 1 1/2 miles in the afternoon. How long is the full walk?

  32. 32.Paint remaining in a Doylestown shed starts at 4 1/3 gallons, and a job uses 1 3/4 gallons. How much paint is left?

  33. 33.A cafe glass in West Chester holds 1/5 liter of syrup and 3/10 liter of sparkling water. What is the combined volume?

  34. 34.Cloth remaining for an Emmaus quilt starts at 5/6 yard of blue fabric, and 1/4 yard is cut off for trim. How much blue fabric is left?

  35. 35.Ribbon used for six Carlisle students is cut so each student gets 2/3 yard. How much ribbon is used in all?

  36. 36.Tomato plants fill 2/5 of a garden that covers 3/4 acre near Pine Grove Mills. How much of an acre is planted in tomatoes?

  37. 37.Walnuts for eight Easton cakes are portioned at 1/4 pound on every cake. How many pounds of walnuts are needed?

  38. 38.A blue border covers 3/5 of the framed part of a New Hope poster, and the frame covers 2/3 of the poster. What fraction of the poster is blue border?

  39. 39.Cheese on sandwiches in Altoona comes from 1/3 pound shared equally by 4 sandwiches. How much cheese is on each sandwich?

  40. 40.Clay pieces in Dunmore are cut at 1/4 pound each from a 3-pound block. How many pieces can be cut?

  41. 41.Pizza shares at the Media library come from 1/2 of a pizza divided equally among 5 volunteers. What fraction of the whole pizza does each person get?

  42. 42.Juice servings at a Williamsport camp are 1/3 liter each, and the cooler holds 5 liters. How many servings can be poured?

  43. 43.Find the volume of a Lebanon storage bin that is 8 feet long, 3 feet wide, and 2 feet high.

  44. 44.A Pittsburgh warehouse crate is 7 feet long, 6 feet wide, and 4 feet high. What is its volume?

  45. 45.What is the volume of a science kit box from a Millcreek shop that measures 10 centimeters by 5 centimeters by 3 centimeters?

  46. 46.A packing box in Red Lion holds 120 cubic inches. Its base is 6 inches by 4 inches. What is the height?

  47. 47.Inch cubes fill a Shillington display in 9 rows of 4 cubes, stacked 3 layers high. What is the volume of the display?

  48. 48.A Whitehall class card shows the expression (8 + 4) × 3. What is its value?

  49. 49.Evaluate (15 - 6) + (4 × 2) the way a Mechanicsburg student should when parentheses come first.

  50. 50.A Swarthmore worksheet shows 3 × (10 - 4) + 5. What number does that expression name?

  51. 51.Parentheses group both parts of a Collegeville expression: (24 ÷ 6) × (5 + 1). What is the value?

  52. 52.Simplify 2 × (7 + 4) - 6 for a Hummelstown practice sheet.

  53. 53.A picnic table on a Valley Forge map sits at the point (3, 7). How is that point reached from the origin?

  54. 54.Which ordered pair names a spot 5 units right and 2 units up from the origin on a Paoli grid?

  55. 55.On a Jim Thorpe trail map, a bench is at (1, 4) and a fountain is at (6, 4). How far apart are those points?

  56. 56.A point on a Strasburg grid is 6 units from the y-axis and 1 unit from the x-axis, in the first quadrant. Which ordered pair is it?

  57. 57.One Meadville scale shows 0.4 kilogram and another shows 0.400 kilogram. Which statement about those readings is true?

  58. 58.A Bradford weather chart rounds 6.045 to the nearest hundredth. What number should be written?

  59. 59.A 10.05-meter wire at a Butler hardware store loses a 3.7-meter piece. How long is the remaining wire?

  60. 60.Patio stones in Greensburg cover a rectangle 2.5 meters by 1.4 meters. What is the area?

  61. 61.Training sets of 0.8 lap are marked along 7.2 laps at a Shippensburg track. How many of those sets fit?

  62. 62.Pallets in King of Prussia each hold 135 cartons, and 24 pallets are loaded. How many cartons are loaded?

  63. 63.Rolls from a Norristown bakery are packed 48 to a bag. How many bags come from 1,344 rolls?

  64. 64.White paint and blue paint are poured together in Phoenixville: 3/8 gallon of white and 1/2 gallon of blue. How much paint results?

  65. 65.A Lewistown recipe starts with 5/6 cup of oats and sets 1/3 cup aside. How much oats stays in the bowl?

  66. 66.The hike to a creek in Bloomsburg is 1 2/5 miles, and the hike past the creek is 2 1/10 miles. How long is the whole hike?

  67. 67.A board in Somerset is 5 1/4 feet long before 2 2/3 feet are cut off. How long is the piece that remains?

  68. 68.Each of 10 campers at Ricketts Glen drinks 3/5 cup of cocoa. How many cups are drunk altogether?

  69. 69.Gold paint covers 4/7 of a mural, and the mural covers 1/2 of a wall in Chadds Ford. What fraction of the wall is gold?

  70. 70.Peas fill 3/10 of a bed that takes up 5/6 of a yard in Exton. What fraction of the yard is planted in peas?

  71. 71.One fifth of a pie in Kutztown is shared equally by 3 guests. What fraction of the pie does each guest get?

  72. 72.Yarn in a Lewisburg art room is 4 meters long and is cut into pieces of 1/6 meter. How many pieces result?

  73. 73.What is the volume of a Wormleysburg planter that is 9 feet long, 2 feet wide, and 5 feet deep?

  74. 74.A bin in Hellertown has a volume of 240 cubic inches, a width of 6 inches, and a height of 5 inches. What is its length?

  75. 75.In Indiana, Pennsylvania, a student simplifies (20 - 8) ÷ 4. What value should the student get?

  76. 76.Multiplication and parentheses both appear in 6 + 4 × (9 - 7) on a Palmyra board. What is the value?

  77. 77.A dock at (4, 1) and a buoy at (4, 8) are marked on a Presque Isle map. How many units separate them?

  78. 78.From the origin on a Boiling Springs graph, a point lies 8 units to the right and 0 units up. Which ordered pair is that?

  79. 79.Combine 4 tenths and 6 thousandths into one decimal for a Lock Haven science card.

  80. 80.Of the amounts 2.08 liters, 2.8 liters, and 2.088 liters measured in Pottstown, which is the greatest?

  81. 81.A Towanda river gauge reads 9.38 feet. What is that reading rounded to the nearest whole number?

  82. 82.Three purchases in Stroudsburg weigh 12.6 pounds, 0.45 pound, and 3.08 pounds. What do they weigh together?

  83. 83.Dye for shirts in Selinsgrove is measured at 0.08 liter per shirt. How much dye do 25 shirts use?

  84. 84.Seven baskets in Quakertown share 6.3 pounds of peaches equally. How many pounds go in each basket?

  85. 85.Seventeen classrooms in Beaver Falls each receive 86 workbooks. How many workbooks are delivered?

  86. 86.Bookmarks at a Warren library are shared equally by 35 classes, and there are 1,085 bookmarks. How many does each class receive?

  87. 87.Broth and cream are combined in Ligonier: 2/3 cup of broth and 1/4 cup of cream. How much liquid is that?

  88. 88.Linen measuring 7/8 yard is on a Lehighton table, and 1/2 yard is sewn into a cuff. How much linen remains?

  89. 89.A Honesdale trail runs 3 1/6 miles to a bridge and another 2 1/2 miles to an overlook. What is the total length?

  90. 90.A dowel in Sunbury measures 6 1/5 inches and is shortened by 2 3/10 inches. What is the new length?

  91. 91.Seven projects in Wellsboro each use 2/9 of a pack of clay. How many packs are used in all?

  92. 92.A shade covers 8/9 of a window that is 3/4 meter wide in Downingtown. How wide is the shaded part?

  93. 93.Sugar weighing 1/8 pound is split equally between 2 bowls in Coatesville. How much sugar goes into each bowl?

  94. 94.Water bottles in Boyertown each hold 1/2 liter, and the troop has 6 liters. How many bottles can be filled?

  95. 95.A museum box in Millersville is 11 inches long, 5 inches wide, and 2 inches high. What is its volume?

  96. 96.Centimeter cubes form a rectangular prism in Hollidaysburg that is 6 cubes long, 3 cubes wide, and 5 cubes high. What is the volume?

  97. 97.An Ephrata quiz writes (12 + 8) ÷ (2 + 3). Which number equals that expression?

  98. 98.A Cornwall worksheet asks for the value of 5 × (6 + 2) - 9. What should the answer be?

  99. 99.A marker on a Boalsburg map starts at (2, 3) and then moves 4 units right and 1 unit up. Where does it stop?

  100. 100.Which statement correctly locates the point (9, 2) on a first-quadrant grid in Bellefonte?

  101. 101.The fraction 37/1000 appears on a Clearfield card. Which decimal equals that fraction?

  102. 102.Round the Oil City reading 4.321 liters to the nearest hundredth.

  103. 103.A Titusville log starts at 20.4 gallons and records that 7.86 gallons were used. How many gallons remain?

  104. 104.Each side of a square mosaic tile in Newtown Square is 0.6 foot. What is the area of the tile?

  105. 105.A path at French Creek State Park is 4.8 kilometers long and is split into sections of 0.6 kilometer. How many sections are there?

  106. 106.Skids at a Connellsville mill each carry 125 bags, and 48 skids are filled. How many bags is that?

  107. 107.Pencils in an Annville storeroom number 2,475 and are bundled in groups of 25. How many bundles are made?

  108. 108.Stain in a can at Washington Crossing measures 4/5 gallon, and 1/2 gallon is brushed onto a bench. How much stain is left?