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Illinois Assessment of Readiness Mathematics Grade 4

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

These questions are original. This is not an official Illinois Assessment of Readiness test, and FreeExam is not affiliated with the Illinois State Board of Education.

  1. 1.Turnstiles at the Illinois State Fairgrounds in Springfield show 1,846,205. What is the value of the digit 8?

  2. 2.A trail register in Shawnee National Forest lists 47,318 hikers. Which digit is in the ten-thousands place?

  3. 3.Which expression shows 35,206, the number of bricks counted along a walk at the Old State Capitol in Springfield?

  4. 4.A Lake Michigan research buoy report reads 6 hundred-thousands, 0 ten-thousands, 4 thousands, 8 hundreds, 1 ten, and 2 ones. Which number is that?

  5. 5.A shipping tag in Joliet reads 92,450. What is the value of the digit 5?

  6. 6.Rockford's library holds 18,642 books, and a Peoria branch holds 18,624. Which statement is true?

  7. 7.A platform counter on a Chicago elevated train shows 705,318 rides. Which digit is in the hundred-thousands place?

  8. 8.A Beardstown warehouse on the Illinois River stored 3,400 sacks of corn, then stored 10 times as many. How many sacks is that?

  9. 9.A theater in Naperville prints 256 programs for one show. Printing 100 times as many programs makes how many?

  10. 10.A Shawnee survey note says four hundred six thousand, eighty acres. Which standard form matches those words?

  11. 11.On the barge number 58,219 at Alton, beside the Mississippi, the digit 8 stands for 8,000. What would an 8 in the hundreds place be worth?

  12. 12.A ticket roll in Champaign is 7 ten-thousands, 2 thousands, 9 hundreds, 0 tens, and 4 ones. What number is on the roll?

  13. 13.Canoe rentals on the Fox River totaled 14,583. In that number the digit 5 has a value of 500. Which place is the 5 in?

  14. 14.A crew setting chairs in Decatur counts 4,000 chairs. How many hundreds are in 4,000?

  15. 15.A Quincy orchard stored 9,050 apples, and a barn nearby stored 9,500 apples. Which statement is correct?

  16. 16.A delivery van left a Springfield warehouse with 637 cartons and picked up 285 more in Decatur. How many cartons are on the van now?

  17. 17.The Mississippi ferry at Quincy carried 1,476 passengers on Saturday and 2,358 on Sunday. How many passengers rode over the two days?

  18. 18.An Elgin food drive gathered 246 cans on Monday, 375 on Tuesday, and 189 on Wednesday. How many cans were gathered?

  19. 19.Lincoln Home in Springfield welcomed 4,280 guests in June and 3,695 guests in July. How many guests came during those two months?

  20. 20.Crews on a Rock Island bridge used 568 bolts on the north span and 477 bolts on the south span. How many bolts were used?

  21. 21.At the Chicago Botanic Garden in Glencoe, gardeners set out 2,314 tulip bulbs and 1,502 daffodil bulbs. How many bulbs is that?

  22. 22.A charity walk on Chicago's Lake Shore Drive raised 5,678 dollars on the north leg and 2,945 dollars on the south leg. What was the combined amount?

  23. 23.Volunteers at Cahokia Mounds packed 836 booklets before lunch and 749 booklets after lunch. How many booklets did they pack?

  24. 24.A Carbondale festival logged 21,867 entries on Friday and 8,456 entries on Saturday. How many entries were logged over both days?

  25. 25.Three classrooms from Ottawa brought 128 pies, 246 pies, and 97 pies to an Illinois River festival. How many pies arrived?

  26. 26.A Peoria club packs 8 cartons with 24 books each. It keeps 35 books and sends the rest to a library. How many books are sent?

  27. 27.A class has $200 for a trip. Four tickets cost $28 each and the bus costs $65. Which statement about the budget is correct?

  28. 28.A Joliet teacher has 95 beads. Each bracelet needs 8 beads. What is the greatest number of complete bracelets she can make?

  29. 29.The Galena History Museum set out 800 exhibit helmets and visitors borrowed 246 of them. How many helmets were not borrowed?

  30. 30.A postcard rack in Galena started with 1,000 cards and sold 358 by noon. How many cards are still on the rack?

  31. 31.One afternoon the Shedd Aquarium had 5,240 guests and the Field Museum had 3,875. How many more guests were at the Shedd Aquarium?

  32. 32.A factory in Moline cut 8,769 metal parts and has already shipped 2,345 of them. How many parts are still at the factory?

  33. 33.Starved Rock State Park registered 3,012 campers, and 1,847 had checked out by evening. How many campers were still registered?

  34. 34.A Naperville school ordered 750 rulers and has given out 486. How many rulers have not been given out?

  35. 35.A gardener wants equal rows with no leftover plants. Which number of rows can hold exactly 42 plants?

  36. 36.Which statement explains why 29 is a prime number?

  37. 37.A pattern starts at 4 and adds 6 each time: 4, 10, 16, 22. Which statement will stay true?

  38. 38.At a school fair, each adult ticket costs $6 and each child ticket costs $4. A family buys 3 adult tickets and 2 child tickets. How much do they spend?

  39. 39.A ribbon is 3 meters 25 centimeters long. How many centimeters long is it?

  40. 40.A line plot of twig lengths shows two twigs at 1/4 foot, three at 1/2 foot, and one at 3/4 foot. What is the combined length of all six twigs?

  41. 41.A student says 6 × 35 is 6 × 30 + 5. Which correction explains the mistake?

  42. 42.Rangers at Starved Rock split hikers into 40 groups with 7 students in each group. How many students is that?

  43. 43.Each of 24 classrooms in Aurora sends 15 students on a museum trip. How many students go?

  44. 44.An orchard near Joliet packs apples into 146 crates, with 8 baskets in every crate. How many baskets are packed?

  45. 45.Rangers at Pere Marquette State Park place 30 markers on each of 12 trails. How many markers do they place?

  46. 46.A Chicago print shop runs 1,205 flyers on each of 4 presses. How many flyers come off the presses?

  47. 47.Buses headed to the Illinois State Fair in Springfield carry 25 riders each. If 36 buses make the trip, how many riders are aboard?

  48. 48.A walking guide in Galena leads 6 groups, and every group stops at 48 storefronts. How many storefront stops is that?

  49. 49.Nine crews race skiffs on the Rock River in Rockford, and each crew has 27 athletes. How many athletes are racing?

  50. 50.A nursery in Springfield plants 14 rows with 16 saplings in each row. How many saplings are planted?

  51. 51.Seven trail crews in Shawnee National Forest each carry 200 wooden stakes. How many stakes do the crews carry altogether?

  52. 52.A tile setter in Peoria lays 375 tiles in one room and repeats that work in 6 rooms. How many tiles are laid?

  53. 53.A pier in Waukegan rents 18 kayaks a day. Over 13 days, how many kayak rentals is that?

  54. 54.Workers pack 45 crates of peaches beside the Mississippi in Calhoun County, and every crate holds 20 peaches. How many peaches is that?

  55. 55.A nature class in Naperville divides 63 leaf samples equally among 9 tables. How many samples go on each table?

  56. 56.A kitchen in Decatur has 96 muffins to put into boxes that each hold 8 muffins. How many boxes can be filled?

  57. 57.Scouts in Rockford have 75 feet of rope and cut pieces that are 9 feet long. How many full pieces can they cut, and what length is left?

  58. 58.A marching band in Naperville lines up 156 players in equal rows of 6. How many rows are there?

  59. 59.A greenhouse in Champaign splits 480 seedlings equally into 10 trays. How many seedlings go in each tray?

  60. 60.A warehouse in Chicago ships 432 bottles with 8 bottles in each carton. How many cartons does that fill?

  61. 61.Guides at Starved Rock have 100 whistles to share equally among 6 crews, giving each crew as many as possible. How many does each crew get, and how many are left?

  62. 62.The Abraham Lincoln Presidential Library in Springfield files 2,412 photographs into albums that hold 4 photographs each. How many albums are filled?

  63. 63.A dock on the Mississippi at Alton has 54 paddles to divide equally among 6 families. How many paddles does each family get?

  64. 64.A factory in Peoria packs 735 bolts into bags of 7 bolts each. How many bags get filled?

  65. 65.A pecan pie at a bakery in Peoria is cut into 5 equal slices. A family takes 3 of those slices. What fraction of the pie do they take?

  66. 66.A parade flag in Galena is split into 8 equal stripes, and 5 of the stripes are green. What fraction of the flag is green?

  67. 67.Two same-sized garden beds have 2/3 and 3/4 of their areas planted. Which comparison is correct?

  68. 68.A ribbon is marked in eighths. Which pair names the same point as 3/4?

  69. 69.Which expression breaks 5/6 into a sum of unit fractions?

  70. 70.A recipe uses 3/8 cup of milk and then 2/8 cup more. How much milk is used?

  71. 71.A board is 7/10 meter long. A worker cuts off 3/10 meter. How much remains?

  72. 72.A scout walks 1 2/5 miles before lunch and 2 1/5 miles afterward. How far does the scout walk?

  73. 73.A rope is 3 1/4 yards long. A worker uses 1 3/4 yards. How much rope is left?

  74. 74.Each flag needs 3/4 yard of cloth. How many yards do 5 flags need?

  75. 75.A garden bed beside the Chicago River is a rectangle 8 meters long and 6 meters wide. What is the area of the bed?

  76. 76.A square stage at a riverfront concert in Peoria measures 9 feet on each side. What is the area of the stage?

  77. 77.A rectangular poster in the Chicago Cultural Center is 12 inches long and 7 inches wide. What is the area of the poster?

  78. 78.A rectangular plot in Normal covers 56 square meters. The length is 8 meters. What is the width?

  79. 79.One bed in an Oak Park community garden is a rectangle 20 feet long and 15 feet wide. What is the area of that bed?

  80. 80.A rug in a parlor at Lincoln Home in Springfield is 11 feet long and 4 feet wide. What is the area of the rug?

  81. 81.A rectangular sand court at a park in Rockford is 9 yards long and 5 yards wide. What is the perimeter of the court?

  82. 82.A square animal pen at a playground in Springfield is 8 meters on each side. What is the perimeter of the pen?

  83. 83.A rectangular dock on the Illinois River at Peru is 14 yards long and 3 yards wide. What is the perimeter of the dock?

  84. 84.A rectangular sign in Galena has a perimeter of 30 inches. Its length is 9 inches. What is its width?

  85. 85.A triangular garden bed near Starved Rock has side lengths of 5 feet, 5 feet, and 6 feet. What is the perimeter of the bed?

  86. 86.A rectangular vegetable bed in Belleville has two sides of 18 feet and two sides of 6 feet. How many feet of edging surround the bed?

  87. 87.A drawing shows a ray turning through 45 degrees, then another 30 degrees in the same direction. What is the total angle?

  88. 88.One ray points at 20 degrees on a protractor scale and a second at 110 degrees on the same scale. What is the angle between them?

  89. 89.Which description matches an obtuse angle?

  90. 90.A right angle is split into two smaller angles. One measures 37 degrees. What does the other measure?

  91. 91.Which description shows perpendicular lines?

  92. 92.A quadrilateral has exactly one pair of parallel sides. Using the definition that a trapezoid has at least one pair of parallel sides, which name fits?

  93. 93.A triangle has two equal sides and a right angle between them. Which two names describe it?

  94. 94.A rectangle is 8 centimeters long and 3 centimeters wide. How many lines of symmetry does it have?

  95. 95.A square paper sign is folded along a diagonal. What explains why that diagonal is a line of symmetry?

  96. 96.A builder has 50 meters of fencing. A rectangular pen is 14 meters by 9 meters. Is the fencing enough for one trip around the pen?

  97. 97.A school mural covers 84 square feet. Its rectangular wall is 7 feet high. How wide is the mural?

  98. 98.A pitcher holds 2 liters. A class pours out 650 milliliters. How many milliliters remain?

  99. 99.A seed packet weighs 3 kilograms 40 grams. What is its weight in grams?

  100. 100.A decimal grid has 100 equal squares, and 37 are shaded. Which decimal names the shaded part?

  101. 101.Which decimal equals 6/10?

  102. 102.A marker is at 0.08 meter on a number line. Which fraction marks the same location?

  103. 103.Which statement correctly compares 0.7 and 0.65?

  104. 104.A student measures two same-sized ribbons: 0.4 meter and 0.40 meter. How do these lengths compare?

  105. 105.A trail log records 4/10 mile plus 23/100 mile. What total does the log show?

  106. 106.Two walkers cover 0.32 mile and 0.29 mile. Which list orders both distances and 0.3 mile from least to greatest?

  107. 107.A runner completes 3 laps of a 2/5-mile track. How far does the runner travel?

  108. 108.A student claims 1/2 + 1/2 = 2/4. Which model shows the error?