Pennsylvania System of School Assessment Mathematics Grade 3

One hundred eight questions on multiplication, division, fractions, area, and measurement.

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.How many ripe pears are in 9 town-market baskets if each basket holds 4 pears?

  2. 2.How many meters of rope surround a trail herb bed that is 11 meters long and 2 meters wide?

  3. 3.How many watch bands go in each drawer when the clock shop sorts 27 bands equally into 3 drawers?

  4. 4.How many meters remain on a 500-meter state-park walk to the falls after the class has walked 276 meters?

  5. 5.What fraction of 8 bakery rolls have seeds when 4 of the rolls are topped with seeds?

  6. 6.How many yards of edging surround a rectangular market path that is 12 yards long and 3 yards wide?

  7. 7.How many picture books fill 10 school-library shelves if each shelf holds 20 books?

  8. 8.How many inches wider is a 48-inch town-market table than a 19-inch crate beside it?

  9. 9.How many cups of flour did the bakery pour when the morning crew used 409 cups and the afternoon crew used 386 cups?

  10. 10.What fraction of 6 town-market apples are green when 1 apple in the crate is green?

  11. 11.How many sides does a rectangular steel-yard plate have?

  12. 12.Which steel-yard tally is greater, Tuesday's 3,276 rods or Wednesday's 3,267 rods?

  13. 13.What value does the digit 5 have in the state-park trail marker numbered 5,216?

  14. 14.How many minutes does a walking tour spend inside the covered bridge between 4:35 and 5:05?

  15. 15.How many hikers can sit at 4 state-park picnic tables if each table seats 7 hikers?

  16. 16.What time is it when the clock-shop hour hand points to 3 and the minute hand points to 6?

  17. 17.How many minutes does river-barge loading take from 6:25 until 7:10?

  18. 18.What is the value of the 7 in the school library's count of 4,703 books?

  19. 19.Which number shows 3 thousands, 4 hundreds, 0 tens, and 6 ones of covered-bridge planks?

  20. 20.How many inches of gold edging go once around a clock case that is 6 inches long and 4 inches wide?

  21. 21.How many Friday clocks does a clock-shop picture graph show if each star stands for 2 clocks and Friday has 3 stars?

  22. 22.How large, in square feet, is a town-market cloth that measures 8 feet by 6 feet?

  23. 23.How many thousands are shown in the steel-yard tally of 8,041 beams?

  24. 24.After printing 640 harvest tickets and giving away 178 before noon, how many tickets did the town market have left?

  25. 25.What is a steel-yard stack of 795 beams rounded to the nearest ten?

  26. 26.How many rods did steel-yard workers tie if they made 7 bundles with 7 rods in each bundle?

  27. 27.What is the least-to-greatest order of the bakery counts 726, 762, and 672?

  28. 28.How many bolts are needed for 8 covered-bridge lamp posts if each post needs 10 bolts?

  29. 29.How many hikers stay in each cabin when 42 state-park hikers split equally into 6 cabins?

  30. 30.What is 274 dollars spent at a town-market stall rounded to the nearest hundred?

  31. 31.Which library class finished the greater fraction, class A with 5/10 of the list or class B with 7/10 of the list?

  32. 32.What fraction of a covered-bridge sign is blue if the sign has 8 equal parts and 2 of those parts are colored blue?

  33. 33.What is a 314-minute clock repair rounded to the nearest ten minutes?

  34. 34.How many inches of lining does a baker need to go around a tray that is 7 inches long and 5 inches wide?

  35. 35.How many clocks did the shop repair when spring covered 365 clocks and summer covered 278 clocks?

  36. 36.How many beams remained after shippers removed 346 beams from a steel-yard pile of 812 beams?

  37. 37.How many boards did the covered-bridge crew nail after using 467 boards one day and 285 boards the next morning?

  38. 38.How many bookmarks does each class get when 45 library bookmarks are shared equally by 5 classes?

  39. 39.How many meters are left to the state-park creek if the creek is 60 meters away and the group has walked 25 meters?

  40. 40.What fraction of a pretzel is salted when a baker cuts it into 6 equal pieces and salts 5 pieces?

  41. 41.How many water bottles ride in 6 barge crates if each crate holds 8 bottles?

  42. 42.How many young pines did rangers plant in 6 state-park rows with 50 pines in each row?

  43. 43.How many fewer beams does Wednesday show than Monday if a steel-yard bar graph lists Monday 10, Tuesday 6, and Wednesday 4?

  44. 44.Which fraction is greater for covered-bridge bolts, 3/8 rusty or 5/8 clean?

  45. 45.How many plain pretzels go in each bag when 36 pretzels are packed equally into 9 bags?

  46. 46.How many minutes were left in a 934-minute clock test after 578 minutes had passed?

  47. 47.How many square feet do sailors paint on a barge hatch that is 7 feet long and 4 feet wide?

  48. 48.How long are a 537-yard state-park trail and a 285-yard spur when their lengths are combined?

  49. 49.Which drink is smaller, 1/4 of a state-park bottle or 3/4 of a matching bottle?

  50. 50.Which numeral records one thousand, five hundred twenty clocks sold by the shop in a year?

  51. 51.What is a barge load of 850 barrels rounded to the nearest hundred?

  52. 52.How many rope coils go in each bin when 56 coils are stored equally in 8 barge bins?

  53. 53.When bakers share 48 warm pretzels equally across 6 cooling trays, how many pretzels does each tray receive?

  54. 54.How many feet of railing did carpenters cut if they cut 258 feet and later cut 176 more feet for the covered bridge?

  55. 55.What fraction of 5 school-library chairs are blue when 2 of those chairs are blue?

  56. 56.Which clock price is greater than 430 dollars and less than 470 dollars: 390, 428, 456, or 471?

  57. 57.How many apples did two town-market stalls sell together if one sold 186 apples and the other sold 247 apples?

  58. 58.How many liters stay in a 20-liter state-park jug after campers drink 4 liters?

  59. 59.How many fairy-tale books does a library picture graph show if one icon stands for 5 books and the row has 4 icons?

  60. 60.How many minutes stayed open on a 720-minute bakery schedule after 458 minutes had been used?

  61. 61.How many right angles does a rectangular bakery window have if every corner is a square corner?

  62. 62.Which comparison is true for a 348-foot covered bridge and a 384-foot covered bridge?

  63. 63.What is 638 county-fair pretzels rounded to the nearest hundred?

  64. 64.How many cups of cider does the pretzel bakery use to fill 3 pitchers with 8 cups in each pitcher?

  65. 65.How many inches of a 36-inch covered-bridge plank are left after a carpenter saws off 10 inches?

  66. 66.Which state-park post number is greater, 2,150 or 2,105?

  67. 67.What time is showing at the town market when the hour hand is on 1 and the minute hand is on 9?

  68. 68.How many minutes do pretzels bake if they enter the oven at 2:15 and come out at 2:40?

  69. 69.How many barrels does a river-barge picture graph show if one icon stands for 2 barrels and 7 icons are drawn?

  70. 70.Which river-barge load is the least: 509 sacks, 590 sacks, or 559 sacks?

  71. 71.How many pretzels in all does a bakery bar graph show for 9 salt, 6 cinnamon, and 8 plain?

  72. 72.How many barrels are stacked when deckhands make 3 layers of 40 barrels on the river barge?

  73. 73.What is the area, in square feet, of a rectangular trail sign that measures 6 feet by 5 feet?

  74. 74.What shape has four sides and a right angle at every corner, like the covered-bridge door?

  75. 75.How many nails were left after the covered-bridge crew started with 803 nails and hammered 267 of them?

  76. 76.How many jars were unsold after a town-market vendor brought 705 jars and sold 268 jars?

  77. 77.How many clocks fill a shop wall that has 5 rows with 5 clocks in each row?

  78. 78.How many crates did the barge take on after loading 146 crates at the first dock and 478 crates at the next dock?

  79. 79.How many books did librarians shelve when they put away 592 picture books and 129 chapter books?

  80. 80.How many square feet does a covered-bridge poster cover if it is 8 feet long and 3 feet wide?

  81. 81.What fraction of a covered-bridge railing is red when 1 of its 4 equal sections is painted red?

  82. 82.How many lanterns hang on each post when 24 lanterns are shared equally by 4 covered-bridge posts?

  83. 83.How many steel tags are clipped on each bundle when 32 tags are shared equally by 4 bundles?

  84. 84.What kind of angle matches the square corner of a sheet of paper on a state-park map?

  85. 85.Which library shelf count is greatest among 1,084 books, 1,048 books, and 1,408 books?

  86. 86.How many centimeters of twine do bakers use to tie one box with 15 centimeters and the next box with 28 centimeters?

  87. 87.How many salt pretzels sit on 4 bakery trays if each tray holds 30 pretzels?

  88. 88.How many dough strips does a baker use to shape 9 cinnamon pretzels if each pretzel uses 6 strips?

  89. 89.How many feet of trim go around a covered-bridge window that is 9 feet long and 4 feet wide?

  90. 90.What fraction of a state-park sign is green when 2 of its 3 equal stripes are green?

  91. 91.How many more covered-bridge visitors came on Tuesday than on Monday if a bar graph shows Monday 4, Tuesday 7, and Wednesday 5?

  92. 92.What fraction of a barge deck mat is yellow when 5 of its 8 equal squares are yellow?

  93. 93.How many visitors can sit when 7 covered-bridge benches each seat 8 people?

  94. 94.What single number equals the river-barge crate total 6,000 + 300 + 80 + 9?

  95. 95.Which pretzel-tray amount is smaller, 2/6 of the tray or 4/6 of the same tray?

  96. 96.How many sales do Saturday and Sunday show together on a market picture graph if each apple icon means 10 sales, Saturday has 3 icons, and Sunday has 1 icon?

  97. 97.How many liters of juice go into each jug when a market seller pours 36 liters equally into 4 jugs?

  98. 98.How long, in minutes, is a state-park hike that starts at 8:50 and reaches the overlook at 9:20?

  99. 99.Which pair of bars is equally tall on a state-park graph that shows 3 wrens, 8 robins, and 8 jays?

  100. 100.What fraction of 10 steel-yard hard hats are orange when 7 of the hats are orange?

  101. 101.What is 255 meters of muddy state-park trail rounded to the nearest ten?

  102. 102.If 9 market baskets each hold 20 soft pretzels, how many soft pretzels are packed in the baskets?

  103. 103.What time does the library clock show when the hour hand is on 10 and the minute hand is on 2?

  104. 104.How many sacks stayed aboard after the river barge held 651 sacks and the crew removed 287 sacks?

  105. 105.Which digit is in the hundreds place of the 2,847 pretzels counted at the bakery in March?

  106. 106.How many cups remain in a 12-cup covered-bridge thermos after workers pour out 5 cups?

  107. 107.What is the covered-bridge distance of 472 feet rounded to the nearest ten?

  108. 108.How many square inches of bakery mat are covered when the mat is 9 inches long and 2 inches wide?