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Pennsylvania System of School Assessment Mathematics Grade 4

Place value, multi-digit operations, fractions, decimals, area, and angles.

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.Last autumn the cold room at the Harrisburg market held 348,275 apples. What value does the digit 4 have in 348,275?

  2. 2.A step counter on the Susquehanna trail stored 582,416 footsteps between Lancaster and a riverside park. Which digit is in the hundred-thousands place?

  3. 3.Visitor cards at a Pittsburgh library are stamped 206,049. Which expression has the same value?

  4. 4.Four Philadelphia book drives reported 91,408 books, 91,480 books, 90,984 books, and 91,048 books. Which report is the greatest?

  5. 5.Honey jars on a Lancaster market receipt are totaled as 73,856. What is the value of the 3?

  6. 6.A Harrisburg librarian wrote four hundred fifteen thousand, sixty-two on a shelf label. Which numeral matches that label?

  7. 7.Boat counters along the Pittsburgh river recorded 64,738 boats over ten summers. Which digit is in the tens place of 64,738?

  8. 8.The Philadelphia market total 55,182 has a 5 in the ten-thousands place and a 5 in the thousands place. The value of the ten-thousands 5 is how many times the value of the thousands 5?

  9. 9.A Susquehanna park sign is built from 7 hundred thousands, 0 ten thousands, 4 thousands, 9 hundreds, 2 tens, and 6 ones. What number does the sign show?

  10. 10.The Harrisburg library catalog lists 46,382 books. What is that count rounded to the nearest thousand?

  11. 11.Saturday shoppers bought 8,651 peaches at a Pittsburgh market. What is 8,651 rounded to the nearest hundred?

  12. 12.During library week, Philadelphia counted 273,419 bus riders. What is 273,419 rounded to the nearest ten thousand?

  13. 13.In March, the Lancaster library loaned 4,376 picture books. What is 4,376 rounded to the nearest ten?

  14. 14.Cleanup crews along the Susquehanna collected 648,275 bottles. What is 648,275 rounded to the nearest hundred thousand?

  15. 15.A Harrisburg clerk needs a market tally that becomes 35,000 when rounded to the nearest thousand. Which tally should the clerk use?

  16. 16.The cheese scale at a Philadelphia market reads 12,749 grams. What is 12,749 rounded to the nearest hundred?

  17. 17.Harrisburg counted 90,500 library visitors in a year. What is 90,500 rounded to the nearest thousand?

  18. 18.After 4,286 new books arrived, they joined 15,739 books already owned by a Harrisburg library. How many books are there altogether?

  19. 19.A Pittsburgh market sold 6,478 apples on Saturday and 3,965 apples on Sunday. How many apples sold on those two days combined?

  20. 20.One Philadelphia reading club collected 28,406 cans, and a second club collected 17,593 cans, all for a library drive. What is the total number of cans?

  21. 21.Trucks brought 8,247 pounds of corn and 5,186 pounds of beans into the Lancaster market. How many pounds arrived?

  22. 22.Morning boats on the Susquehanna carried 39,650 riders, and the afternoon boats carried 42,875 riders. What is the sum of the rider counts?

  23. 23.One Harrisburg shipment held 7,308 storybooks together with 2,694 chapter books. How many books were in the shipment?

  24. 24.A river-path counter in Pittsburgh showed 54,219 steps, and the bridge-path counter showed 36,780 steps. What total do the counters show?

  25. 25.Before the lunch rush, a Philadelphia market stall sold 1,465 muffins and then sold 2,878 rolls. How many baked items were sold?

  26. 26.From a drawer of 12,500 bookmarks, the Harrisburg library gave away 3,768. How many bookmarks remain?

  27. 27.A Pittsburgh fruit stand opened with 20,045 apples and sold 6,278 of them. How many apples were left at closing?

  28. 28.Summer ferries on the Susquehanna carried 45,320 passengers, and spring ferries carried 18,647. How many more passengers rode in summer?

  29. 29.Librarians in Lancaster removed 2,586 worn magazines from a stack of 9,014. How many magazines stayed?

  30. 30.Of 63,800 library cards issued in Philadelphia, 27,459 were renewed. How many cards were not renewed?

  31. 31.Shoppers bought 4,576 pounds of potatoes from a Harrisburg market bin that had held 8,300 pounds. How many pounds were left?

  32. 32.Pittsburgh libraries had 51,276 visitors in May and 34,809 visitors in June. How many more visitors came in May?

  33. 33.The Lancaster book fair printed 15,040 tickets and sold 8,967. How many tickets were still unused?

  34. 34.A Harrisburg library has 16 shelves with 24 books on each shelf. How many books is that?

  35. 35.Before sunrise, workers at a Pittsburgh market stacked 18 crates with 35 pears in each crate. How many pears were in the stack?

  36. 36.For writing week, Philadelphia libraries received 25 boxes, and each box contained 48 pencils. How many pencils were received?

  37. 37.Outside the Lancaster market, gardeners planted 26 tomato plants in each of 14 rows. How many tomato plants did they plant?

  38. 38.On Saturday the Susquehanna ferry completed 32 trips and took 45 passengers on each trip. How many passengers rode?

  39. 39.At a Harrisburg library fair, 27 bundles of newspapers were sold, with 16 newspapers in every bundle. How many newspapers was that?

  40. 40.A bakery delivered 19 trays to the Pittsburgh market, and each tray held 28 rolls. How many rolls were delivered?

  41. 41.Staff preparing a Philadelphia reading night placed 15 chairs at each of 36 tables. How many chairs did they place?

  42. 42.Jam packed for the Lancaster market filled 23 cartons, and each carton held 42 jars. How many jars were packed?

  43. 43.Seventeen bins in a Susquehanna boathouse each store 56 life jackets. How many life jackets are stored in the bins?

  44. 44.Each Harrisburg visitor guide has 34 pages, and the welcome desk needs 46 copies for a library tour. How many pages must be printed?

  45. 45.A Harrisburg librarian shares 157 bookmarks equally among 6 reading tables. How many bookmarks does each table get, and how many are left over?

  46. 46.Pittsburgh market workers bag apples by eights and have 250 apples ready. How many full bags can they make, and how many apples stay unpacked?

  47. 47.Flyers for Philadelphia libraries are stacked 413 high and must be tied in bundles of 9. How many full bundles can be tied, and how many flyers remain?

  48. 48.Corn from a Lancaster field, 320 ears in all, is loaded into crates that hold 7 ears. How many crates can be filled, and how many ears are left?

  49. 49.Twelve boats on the Susquehanna must share 198 safety vests as evenly as possible. How many vests does each boat get, and how many vests are left?

  50. 50.Four Harrisburg classrooms will split 563 new pencils equally. How many pencils does each classroom get, and how many pencils are left?

  51. 51.Muffins at a Pittsburgh bakery, 275 of them, go onto trays that hold 6. How many trays can be filled completely, and how many muffins are left over?

  52. 52.Shelvers in Philadelphia have 842 chapter books and put 15 books in a row. How many full rows can they make, and how many books are left over?

  53. 53.Tokens from the Lancaster market, 1,000 in a box, are sealed into envelopes of 24. How many envelopes can be filled, and how many tokens remain?

  54. 54.Story kits at a Harrisburg library can be split into equal groups when the group size is a factor of 18. Which list names every factor of 18?

  55. 55.Only whole packs of 7 peaches are sold at a Pittsburgh market. Which number of peaches fills packs exactly, with none left over?

  56. 56.A tool wall in Lancaster holds 12 rakes and 18 hoes. What greatest whole number divides both 12 and 18 evenly?

  57. 57.Markers are restocked at a Philadelphia library every 4 days, and crayons every 6 days, with both restocked on the same Monday. What is the least number of days until both are restocked together again?

  58. 58.Boat numbers painted along the Susquehanna include 17, 15, 21, and 27. Which of those numbers has exactly two different factors?

  59. 59.Atlases fill one Harrisburg shelf until the count is 36. Which pair of whole numbers has a product of 36?

  60. 60.Shoppers at a Pittsburgh market want a fruit count that can be grouped by 3s and also by 5s, with none left either way. Which count works?

  61. 61.Chairs in a Philadelphia reading room number 24. Which of these numbers is not a factor of 24?

  62. 62.A market bus in Lancaster leaves every 8 minutes, and a library shuttle leaves every 12 minutes. After they depart together, what is the least number of minutes until the next shared departure?

  63. 63.Oats in a Harrisburg recipe fill 1/2 cup. Which fraction names that same amount?

  64. 64.Berries fill 2/3 of a crate at the Pittsburgh market. Which fraction describes the same part of the crate?

  65. 65.Colored tape covers 3/4 of a shelf in a Philadelphia library. Which fraction is the same portion of the shelf?

  66. 66.Painters finished 4/5 of a mural at the Lancaster library. Which fraction names that same finished part?

  67. 67.A shaded trail on a Susquehanna map covers 2/4 of the path. Which fraction does not name that same shaded part?

  68. 68.Bakers in Harrisburg have 5/6 of a pie and want that amount written with a denominator of 12. Which fraction equals 5/6?

  69. 69.Folding leaves 6/8 of a Pittsburgh paper banner showing. What is 6/8 written in simplest form?

  70. 70.A Harrisburg student read 3/5 of a novel, while a classmate read 2/5 of a poetry book with the same number of pages. Which fraction is greater?

  71. 71.At a Pittsburgh market, one pie is cut into 4 equal slices and a pie of the same size is cut into 6 equal slices. Which fraction is greater, 1/4 or 1/6?

  72. 72.Two matching posters in a Philadelphia library are shaded 5/8 and 3/8. Which statement is true?

  73. 73.One Lancaster ribbon has 2/3 of its length used, and a second ribbon of equal length has 2/5 used. Which fraction is greater?

  74. 74.On the Susquehanna, one dock is 4/7 finished and a dock of the same length is 6/7 finished. Which fraction is less?

  75. 75.An apple bin in Harrisburg is 3/8 full, and a pear bin of the same size is 5/8 full. Which fraction is greater?

  76. 76.Morning reading in Harrisburg covered 2/8 of a book, and afternoon reading covered 3/8 more of that book. What fraction of the book has been read?

  77. 77.Jam used 1/6 of a berry crate at the Pittsburgh market, and pies used another 4/6 of the same crate. What fraction of the crate was used?

  78. 78.Before lunch, Philadelphia library volunteers painted 3/10 of a wall, and after lunch they painted 4/10 more of that wall. What fraction of the wall is painted?

  79. 79.A Lancaster walker covered 2/9 of a trail before noon and 5/9 of the same trail after noon. What fraction of the trail was walked?

  80. 80.A dock chart for the Susquehanna shows that 4/12 of the boats left at noon and 3/12 left at dusk. What fraction of the boats left at those two times?

  81. 81.Flour for a Harrisburg loaf starts with 5/8 cup, and the baker adds 2/8 cup more. How many cups of flour are used?

  82. 82.A mystery shelf in Harrisburg was 7/8 full of books. Borrowing removed enough books to empty 3/8 of the shelf. What fraction of the shelf still holds books?

  83. 83.Peaches filled 5/6 of a Pittsburgh crate, and sales removed 2/6 of a full crate. What fraction of a crate remains?

  84. 84.Shading covered 9/10 of a Philadelphia banner until an artist erased 4/10 of the banner. What fraction is still shaded?

  85. 85.Plants covered 8/12 of a Lancaster garden plot, and then gardeners cleared 5/12 of the plot. What fraction is still planted?

  86. 86.Water filled 6/7 of a jar kept by the Susquehanna, and 2/7 of a full jar was poured out. What fraction of the jar still has water?

  87. 87.Answers filled 11/12 of a Harrisburg worksheet, and then a student erased 5/12 of the page. What fraction of the page is still answered?

  88. 88.The reading rug in Harrisburg is a rectangle 9 feet long and 6 feet wide. What is the area of the rug?

  89. 89.Trim must go around a rectangular Pittsburgh market stall that is 12 feet long and 5 feet wide. How much trim is needed?

  90. 90.A square garden next to a Philadelphia library is 8 yards on each side. What is the area of the garden?

  91. 91.A rectangular poster on a Lancaster library wall is 15 inches long and 4 inches wide. What is the perimeter of the poster?

  92. 92.The rectangular Susquehanna dock measures 20 meters in length and 7 meters in width. What is the area of the dock?

  93. 93.Rope will outline a rectangular Harrisburg reading corner that is 11 feet long and 3 feet wide. How much rope is needed for the outline?

  94. 94.Measured in feet, a low Harrisburg shelf is 4 feet long. How many inches is that length?

  95. 95.The next bend on a Pittsburgh trail is 5 yards ahead. How many feet is 5 yards?

  96. 96.Cheese ordered for a Philadelphia market weighs 3 kilograms. How many grams equal 3 kilograms?

  97. 97.Story hour at the Lancaster library runs for 2 hours. How many minutes long is the story hour?

  98. 98.A jug packed for a Susquehanna boat holds 4 liters of water. How many milliliters is 4 liters?

  99. 99.The prize pumpkin at the Harrisburg market weighs 6 pounds. How many ounces equal 6 pounds?

  100. 100.Paint marks a 7-meter path outside the Pittsburgh library. How many centimeters long is that path?

  101. 101.The corner of a closed book in the Harrisburg library is a right angle. How many degrees are in a right angle?

  102. 102.Where a Pittsburgh market counter runs in a straight line, the turn is a straight angle. How many degrees are in a straight angle?

  103. 103.A Philadelphia library door can open to several angles. Which measure is acute?

  104. 104.A ramp sketch in Lancaster includes a 125-degree angle. What type of angle is 125 degrees?

  105. 105.Two street edges on a Harrisburg map never meet and stay the same distance apart. What is the name for lines like those?

  106. 106.Shelves in a Pittsburgh library meet so that they form a square corner. What are lines that meet at a right angle called?

  107. 107.Two straight lines cross on a Philadelphia library poster. What is the name of the point where they cross?

  108. 108.A Lancaster drawing shows a straight path with an arrowhead at each end, so it keeps going both ways. What is that figure called?