FreeExam

Illinois Assessment of Readiness Mathematics Grade 5

Decimals, fraction operations, volume, and numerical expressions.

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.A baker in Peoria pours 1/2 cup of honey into a bowl that already holds 1/3 cup of maple syrup. How much is in the bowl?

  2. 2.A Springfield parade banner was 3/4 painted. Workers then scraped paint off 1/8 of the banner. What fraction of the banner stayed painted?

  3. 3.On a Naperville trail map, green shading covers 2/5 of the path and gold shading covers another 1/4. What fraction of the path is shaded in those two colors?

  4. 4.Posters cover 3/4 of a 12-foot rail in a Rockford reading room. How many feet of the rail do the posters cover?

  5. 5.Workers at a Cobden orchard split 4 pounds of apples into bags that each hold 1/2 pound. How many bags do they fill?

  6. 6.An Aurora deli weighs 1 1/2 pounds of cheddar and 2 1/4 pounds of Swiss. What is the total weight?

  7. 7.Two paint cans in Joliet are marked 3/5 full and 5/8 full. Which can is filled with the greater fraction?

  8. 8.A garden bed in Elgin is 6/8 planted in tomatoes. Which fraction names the same part of the bed?

  9. 9.In a Champaign art class, 3/8 of the 32 students brought charcoal. How many students brought charcoal?

  10. 10.A Decatur diner had 5/6 of a peach pie left. The server then sold 1/2 of the whole pie. What fraction of the pie remained?

  11. 11.A quilter in Bloomington sews strips that are 1/2 yard, 1/4 yard, and 1/8 yard long into one row. What is the total length?

  12. 12.An Evanston student colors 1/2 of a poster blue, then colors 3/5 of the blue region red. What fraction of the whole poster is red?

  13. 13.A cafe in Pekin measures 11/4 cups of cocoa. Which mixed number matches that measure?

  14. 14.A Galesburg recipe says the spice mix and 2/9 cup of salt together make 7/9 cup. How much is the spice mix alone?

  15. 15.A Quincy band rehearses 2/3 hour before noon and 5/6 hour after noon. How long is the rehearsal in all?

  16. 16.A cider press in Carbondale yields 5 cups, and each serving cup holds 1/3 cup. How many servings is that?

  17. 17.A metal shop in Galena cuts a plate that is 0.3 meter by 0.4 meter. What is the area of the plate in square meters?

  18. 18.Dock workers in Moline tie a 12.6-meter line to a 3.45-meter line. What is the combined length in meters?

  19. 19.A painter in Belleville starts with 8.4 liters of paint and uses 2.75 liters on a porch. How many liters remain?

  20. 20.Six ride tickets at a fair in Alton cost $0.35 each. What is the total cost?

  21. 21.A morning gauge in Danville shows 0.6 inch of rain, and a second gauge shows 0.58 inch. Which reading is greater?

  22. 22.A bike odometer in Freeport reads 4.37 miles. What is that distance rounded to the nearest tenth of a mile?

  23. 23.A weather log in Kankakee lists 6.048 inches of rain. In which place is the digit 4?

  24. 24.One tray in a Dixon greenhouse holds 0.8 pound of soil. A sample uses 0.5 of that amount. How many pounds are in the sample?

  25. 25.A walker in Sterling goes 0.75 mile to the river, then 0.2 mile farther to the band shell. How far is the band shell from the start?

  26. 26.A grain bin in Ottawa holds 9.03 tons of corn. After a truck takes 4.8 tons, how many tons remain?

  27. 27.A shop in DeKalb cuts 4 strips of fabric, and each strip is 1.25 meters long. What is the total length?

  28. 28.Receipts in Normal show fines of 0.4 dollar, 0.39 dollar, and 0.41 dollar. Which list orders those amounts from least to greatest?

  29. 29.A score sheet in Macomb records the fraction 7/100. Which decimal matches that fraction?

  30. 30.A lab in Jacksonville has 0.6 liter of solution and moves 0.05 of it into a test tube. How many liters go into the test tube?

  31. 31.A storage box in Springfield is 4 units long, 3 units wide, and 2 units high. What is the volume of the box?

  32. 32.How many cubic feet fit in a Chicago freight crate that is 5 feet long, 4 feet wide, and 3 feet high?

  33. 33.A planter in Peoria has a volume of 36 cubic units. Its length is 6 units and its width is 2 units. What is the height?

  34. 34.A model in Rockford is built from 5 layers of unit cubes, and each layer is a 3-by-2 rectangle. What is the volume?

  35. 35.Soil fills an Oak Park window box to the brim. The box runs 11 inches along the front, 2 inches from front to back, and 3 inches down. What is the volume of the soil?

  36. 36.A stage prop in Joliet is a 6-by-2-by-2 rectangular prism joined to a 4-by-2-by-2 rectangular prism. What is the total volume?

  37. 37.Water fills an Elgin tank whose length is 8 units, whose width is 5 units, and whose water stands 2 units deep. How many cubic units of water are in the tank?

  38. 38.In Champaign, bin A measures 6 by 3 by 2 units and bin B measures 5 by 4 by 2 units. Which bin has the greater volume?

  39. 39.Park staff in Decatur level a rectangular sand pit with the ground. The pit stretches 7 feet one way, 4 feet the other way, and is 1 foot deep. How much sand is needed?

  40. 40.Which measure is the space inside a Bloomington recycling bin with edges of 9 units, 2 units, and 2 units?

  41. 41.A drawer in Evanston has volume 100 cubic centimeters, width 5 centimeters, and height 4 centimeters. What is the length?

  42. 42.Students in Pekin fill a carton with 3 layers of cubes. Each layer has 4 rows of 6 cubes. How many unit cubes are in the carton?

  43. 43.A shipper in Galesburg packs books in a carton whose inside edges measure 12 centimeters, 3 centimeters, and 5 centimeters. How much space is inside?

  44. 44.A student in Quincy adds 5 + 5 + 4 and says a box that is 5 by 5 by 4 has volume 14. What is the actual volume?

  45. 45.A scoreboard puzzle in Chicago shows the expression 2 + 5 × 3. What is the value of that expression?

  46. 46.Students in Batavia evaluate (8 - 3) × 4. What is the result?

  47. 47.A clerk in Waukegan computes 18 ÷ 3 + 2. What is the value?

  48. 48.A board in Schaumburg shows 4 × [10 - (3 + 2)]. What is the value?

  49. 49.Before closing the register, a cashier in Cicero simplifies 20 - 6 ÷ 2. Which number should the register show?

  50. 50.A game total in Berwyn is given by 3 × 4 + 8 ÷ 2. What is the value?

  51. 51.Students in Wheaton simplify (6 + 5) × (9 - 6). What is the product?

  52. 52.A timer riddle in Glenview shows 9 - 4 × 2. What is the value?

  53. 53.Parentheses come first on a Highland Park class card that reads 36 ÷ (4 + 5). Which number is the result?

  54. 54.A quiz in Wilmette asks for the value of 2 × (7 + 3) - 6. What is that value?

  55. 55.A student in Palatine says 48 ÷ 6 × 2 equals 4. What is the correct value?

  56. 56.An arcade total in Arlington Heights uses 1 + 2 × 3 + 4. What is the value?

  57. 57.A puzzle in Des Plaines shows (15 - 3) ÷ 4 + 6. What is the value?

  58. 58.A coach in Orland Park writes 7 × 2 - 3 × 2. What is the value?

  59. 59.A place-value chart in Urbana labels a column with the power 10³. What is the value of 10³?

  60. 60.A chart in Edwardsville shows 10². What is the value of that power of 10?

  61. 61.A scientist in Collinsville multiplies 3.6 by 10². What is the product?

  62. 62.A meter reading of 45.2 in Granite City is divided by 10. What is the quotient?

  63. 63.A population table in Marion uses 10⁴. What is the value of 10⁴?

  64. 64.One sign at a Mattoon fair booth shows 70, and another shows 7. The 7 in 70 is how many times the 7 in 7?

  65. 65.A sample of 0.08 gram in Charleston is multiplied by 10³. What is the product?

  66. 66.A label in Effingham reads 10¹. What number does that power name?

  67. 67.A calculator in Centralia multiplies 6.25 by 10. What product appears?

  68. 68.A measured length of 8.4 meters in Herrin is divided by 100. What is the quotient?

  69. 69.A star card in Cairo lists 10⁵. What is the value of 10⁵?

  70. 70.A warehouse tag in Metropolis shows 4 × 10³. What whole number is that?

  71. 71.On a first-quadrant map of a Naperville park, a bench is plotted at (3, 4). How is that point located from the origin?

  72. 72.A grid of downtown Skokie marks the origin where the two axes meet. Which ordered pair names the origin?

  73. 73.From the origin on a Lisle trail map, a fountain is 5 units right and 2 units up. Which ordered pair matches the fountain?

  74. 74.A buoy on a Waukegan harbor grid is plotted at (0, 6). Which statement locates that point?

  75. 75.A straight path in Woodstock runs from (1, 2) to (1, 7). How long is the path?

  76. 76.A shop in St. Charles plots a point 2 units right and 8 units up from the origin. Which ordered pair is that point?

  77. 77.A map near Utica plots a campsite at (4, 9). Which statement explains why the point is in the first quadrant?

  78. 78.A library on an Oak Lawn street grid is marked at (7, 1). What is the x-coordinate of that point?

  79. 79.A band shell in Park Ridge is plotted at (2, 9). What is the y-coordinate of that point?

  80. 80.Two bus stops on a Tinley Park map are at (2, 5) and (9, 5). How many units apart are the stops?

  81. 81.On a Bloomington zoo map, the aviary is at (2, 5) and the gate is at (6, 3). Which point is higher?

  82. 82.A token on a Geneva game board starts at (1, 1), then moves 4 units right and 2 units up. Where does it stop?

  83. 83.Three corners of a rectangle on an Oswego field diagram are (1, 1), (1, 4), and (6, 1). What is the fourth corner?

  84. 84.A mile marker on a Plainfield grid sits at (6, 0). How far is that marker from the origin?

  85. 85.A trail crew in Galena pours 3.6 liters of water into bottles that each hold 0.6 liter. How many bottles are filled?

  86. 86.A coil of 8.4 meters of wire in Moline is cut into 2 equal pieces. How long is each piece?

  87. 87.A craft table in Belleville has 4.5 meters of ribbon to cut into 0.5-meter pieces. How many pieces is that?

  88. 88.A chemist in Alton separates 6.3 grams of powder into portions of 0.03 gram. How many portions is that?

  89. 89.Three friends in Danville split a $7.50 donation evenly. How much does each friend pay?

  90. 90.A stack of boards totaling 12.5 feet in Freeport is cut into 5 equal lengths. How long is each length?

  91. 91.A pitcher in Kankakee holds 9.6 liters, and each cup holds 0.8 liter. How many cups can be filled?

  92. 92.A roll of 2.8 meters of twine in Dixon is shared equally by 4 scouts. How many meters does each scout get?

  93. 93.A carpenter in Sterling cuts a 15.5-inch strip into 5 equal spacers. How long is each spacer?

  94. 94.A baker in Ottawa divides 0.81 kilogram of sugar into bags of 0.09 kilogram. How many bags is that?

  95. 95.A spool in DeKalb holds 7.2 meters of cable, and each lamp uses 0.12 meter. How many lamps can be wired?

  96. 96.A kitchen in Normal fills jars with 2.4 liters of honey, using 0.3 liter per jar. How many jars are filled?

  97. 97.A train leaves Champaign at 1:15 and reaches the next stop at 2:00. How long is that ride?

  98. 98.A river taxi in Peoria departs at 7:40 and docks at 8:15. How many minutes is the trip?

  99. 99.Gates at the fairgrounds in Springfield open at 10:15 a.m., and a show starts at 1:15 p.m. How much time passes between those two moments?

  100. 100.A workshop in Rockford starts at 9:50 and lasts 40 minutes. At what time does it end?

  101. 101.Hikers near Utica start a loop at 2:10 and finish at 4:40. How long do they hike?

  102. 102.A bell in Aurora rings at 11:05 and rings again at 11:48. How many minutes pass between the rings?

  103. 103.A film in Joliet ends at 6:20 after running for 1 hour 35 minutes. What time did the film start?

  104. 104.A market shift in Elgin runs from 3:25 p.m. to 5:05 p.m. How long is the shift?

  105. 105.Rehearsal in Decatur begins at 12:50 and ends at 2:05. How long is the rehearsal?

  106. 106.Soccer practice in Bloomington starts at 4:05 and ends at 5:50. How long is practice?

  107. 107.A bus in Evanston leaves a stop at 6:36 a.m. and arrives at school at 7:28 a.m. How many minutes is the ride?

  108. 108.A lab timer in Carbondale starts at 8:48 and stops at 9:12. How many minutes elapsed?