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Illinois Assessment of Readiness Mathematics Grade 6

Ratios, rates, percents, expressions, equations, and area.

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.At a rental dock in Grafton, 8 kayaks go out for every 2 canoes. What is the ratio of kayaks to canoes in simplest form?

  2. 2.A driver on Interstate 55 covers 180 miles from Springfield toward Chicago in 3 hours at a steady speed. What is the rate in miles per hour?

  3. 3.A gift shop in Nauvoo finds 20 percent of a 90-dollar quilt price. How many dollars is 20 percent of 90?

  4. 4.A cheese counter in Galena cuts 3/4 pound of cheddar into portions of 1/8 pound. How many portions does that make?

  5. 5.The overnight low in Galena is -8 degrees Celsius. What is the absolute value of -8?

  6. 6.A concert organizer puts 18 programs into 3 equal stacks. The equation 3x = 18 gives programs per stack. What is x?

  7. 7.Five trail counts at Starved Rock are 2, 9, 4, 9, and 7. What is the median?

  8. 8.A garden plot in Monticello is a triangle with base 10 meters and height 6 meters. What is its area?

  9. 9.A museum lets groups with more than 4 students use the large table. If s is the number of students, which inequality describes this rule?

  10. 10.An orchard stand in Alto Pass sells 12 honeycrisp apples for every 8 golden apples. What is the ratio of honeycrisp apples to golden apples in simplest form?

  11. 11.A barge on the Mississippi River at Quincy travels 96 miles in 4 hours at a steady speed. What is its rate in miles per hour?

  12. 12.A diner in Champaign adds a tip of 15 percent on a 40-dollar meal. How many dollars is the tip?

  13. 13.A kitchen in Vandalia splits 3/4 cup of stock equally between 2 pots. How much stock goes in each pot?

  14. 14.A class account model in Chicago shows a balance of -15 dollars. What is the absolute value of -15?

  15. 15.A bin in Pilsen starts with x jars, and 9 more jars bring the total to 22. Which step solves x + 9 = 22?

  16. 16.Five morning temperatures in Ottawa are 3, 8, 1, 6, and 4 degrees. What is the median?

  17. 17.A model sail at a harbor display in Chicago is a triangle with base 8 centimeters and height 5 centimeters. What is its area?

  18. 18.A seating chart at Ravinia uses x + 6 > 15. Which solution describes x?

  19. 19.A mural crew in Pilsen mixes 5 cups of blue paint with 3 cups of white paint. How many cups of blue paint mix with 15 cups of white paint at that same ratio?

  20. 20.A market in Cobden sells 16 ounces of honey for 8 dollars. What is the price of one ounce?

  21. 21.A bookstore in Springfield charges 8 percent sales tax on a 25-dollar book. What is the total cost of the book with tax?

  22. 22.On a number line in a DeKalb classroom, a length of 4/3 is marked in equal jumps of 1/3. How many jumps is that?

  23. 23.A lead-mine model in Elizabeth places a tunnel at -20 meters relative to the entrance. What is |-20|?

  24. 24.The equation n − 8 = 17 describes tickets still needed at a window in Peoria. What is n?

  25. 25.Four boat counts at Chain O'Lakes are 6, 2, 10, and 4. What is the median?

  26. 26.A pennant in Normal has a base of 12 inches and a height of 4 inches. Which expression equals the area of the pennant?

  27. 27.A club fund in Aurora uses y − 4 ≤ 11. Which solution describes y?

  28. 28.Along the Chicago Riverwalk, bike racks and benches are counted in the ratio 4:6. Which ratio is equivalent to 4:6?

  29. 29.A shop in Peoria sells 6 pencils for 3 dollars. A shop in Pekin sells 10 pencils for 4 dollars. Which offer has the lower price per pencil?

  30. 30.A coat at a shop in Oak Brook costs 80 dollars and is discounted by 25 percent. What is the sale price?

  31. 31.A baker in Arthur has 4 pounds of dough and uses 2/3 pound for each loaf. How many loaves does that make?

  32. 32.A thermometer in Freeport shows the numbers -12 and 9. Which number has the greater absolute value?

  33. 33.The equation 6y = 54 matches equal stacks of programs for a choir in Wheaton. What is y?

  34. 34.A book club in Wheaton has already ordered its page counts: 5, 8, 11, 14, 20. What is the median?

  35. 35.A garden bed in Naperville is a triangle with base 9 meters and height 2 meters. What is its area?

  36. 36.A crate rule in Decatur uses 5n < 40. Which solution describes n?

  37. 37.In an Oak Park class, 12 students walk and 18 students ride. What is the ratio of students who walk to all of the students, in simplest form?

  38. 38.A canal boat near Utica travels at 6 miles per hour. How long does a 21-mile trip take at that rate?

  39. 39.A student in Belleville answers 16 of 20 questions correctly. What percent of the questions is that?

  40. 40.A carpenter cuts a 7/8-foot board into full pieces that are each 1/4 foot long. Ignoring saw width, how many full pieces can be cut, and what is left?

  41. 41.The temperature in Cairo rises from -3 degrees to 4 degrees. What is the distance between these temperatures on a number line?

  42. 42.The equation t/4 = 7 matches a seating plan in Bloomington. What is t?

  43. 43.Quiz scores in Joliet are 10, 7, 10, 6, and 8. What is the median?

  44. 44.A road sign near Godfrey is a triangle with base 7 feet and height 6 feet. What is its area?

  45. 45.A class records the number of books each student read in a month. Which question is statistical?

  46. 46.On a map of the Hennepin Canal near Geneseo, 1 centimeter represents 4 kilometers. How many kilometers does 7 centimeters represent?

  47. 47.A model of Buckingham Fountain moves water at 12 gallons per minute. How many gallons move in 15 minutes at that rate?

  48. 48.Attendance at a matinee in Edwardsville falls from 80 people to 60 people. What is the percent decrease?

  49. 49.A cafe in Andersonville compares two calculations with 2/3 liter and 1/6 liter. Which statement is correct?

  50. 50.A depth marker at Carlyle Lake reads 0 meters from the reference line. What is the absolute value of 0?

  51. 51.A box plot of hike lengths has a median of 6 miles and quartiles of 4 and 9 miles. What is the interquartile range?

  52. 52.Low temperatures in Elizabeth are -2, 5, -8, 0, and 3 degrees. What is the median?

  53. 53.A triangular plot in Quincy has area 40 square meters and base 10 meters. What is the height?

  54. 54.A stair count at Matthiessen State Park uses m/3 > 4. Which solution describes m?

  55. 55.A stand in Geneva mixes 2 cups of lemon juice with 5 cups of water. A stand in St. Charles mixes 3 cups of lemon juice with 8 cups of water. Which mix has the greater ratio of lemon juice to water?

  56. 56.A train leaving Chicago covers 120 miles in 2 hours. A train leaving Springfield covers 150 miles in 3 hours. Which train has the greater speed?

  57. 57.An animal count on view at Brookfield Zoo goes from 40 to 50. What is the percent increase?

  58. 58.A crafter in Arcola has 5/6 yard of ribbon and cuts pieces that are 1/6 yard each. How many pieces does that make?

  59. 59.A scoreboard in Rock Island shows a change of 6. What is the absolute value of 6?

  60. 60.The equation (3/4)k = 9 matches a scaled recipe in Bishop Hill. What is k?

  61. 61.Six visitor counts at Cahokia Mounds are 12, 4, 9, 15, 7, and 11. What is the median?

  62. 62.A triangular banner in Decatur has area 18 square feet and height 6 feet. What is the base?

  63. 63.A histogram groups wait times into 0–4, 5–9, and 10–14 minutes, with frequencies 3, 8, and 5. How many waits were at least 5 minutes?

  64. 64.A mix at Bishop Hill uses peanuts and raisins in the ratio 4:1. Both amounts are tripled for a fair batch. What is the new ratio in simplest form?

  65. 65.A delivery van in Joliet travels 135 miles in 3 hours, then 80 miles in 2 hours. What is the van's average speed for the whole trip?

  66. 66.In Aurora, 30 percent of a fundraiser goal is 45 dollars. What is the full goal?

  67. 67.Scouts at Pere Marquette State Park have 9/4 meters of rope and cut pieces of 3/4 meter. How many pieces do they get?

  68. 68.A lake-level change at Rend Lake has absolute value 5. Which numbers could be the change?

  69. 69.A student computes 2³ + 4 × 3. What is the value?

  70. 70.Three span lengths, in meters, near Florence are 14, 3, and 9. What is the median?

  71. 71.A rectangle on a worksheet in Morton is 14 centimeters by 5 centimeters. A diagonal splits it into two equal triangles. What is the area of one triangle?

  72. 72.A closed rectangular box is 5 units long, 3 units wide, and 2 units high. What is its surface area?

  73. 73.At Lincoln Park Zoo, an exhibit has 7 penguins for every 2 seals. There are 14 penguins. How many seals are there?

  74. 74.A reading log at the Urbana library shows 18 pages in 1 hour, 36 pages in 2 hours, and 54 pages in 3 hours. At that same rate, how many pages are read in 6 hours?

  75. 75.A survey in Skokie includes 120 students. Which calculation equals 40 percent of those students?

  76. 76.A candy maker in Winnetka divides 2/5 kilogram of sugar into bags of 1/10 kilogram. How many bags is that?

  77. 77.A class in Urbana computes |-4| + |3|. What is the sum?

  78. 78.A point is at (−3, 4). Reflect it across the y-axis. What is the new point?

  79. 79.Which data set of visitor counts at Lincoln's New Salem has a median of 6?

  80. 80.A small triangular pane at the Dana-Thomas House in Springfield has base 13/2 inches and height 4 inches. What is its area?

  81. 81.Which number is a solution of 4 + w ≥ 9, an inequality from a packing list in Peoria?

  82. 82.In a Decatur parade, drummers and flute players are in the ratio 2:5. Those two sections together have 28 players. How many are drummers?

  83. 83.During a storm in Woodstock, snow falls at 2 inches per hour and rain falls at 1/2 inch per hour. The snow rate is how many times the rain rate?

  84. 84.A classroom battery model at Argonne starts at 80 units and then loses 10 percent of that charge. What charge remains?

  85. 85.A quilter in Nauvoo has 11/3 yards of fabric, and each block uses 1/3 yard. How many blocks can be cut?

  86. 86.Two wind-chill readings in Moline are used in the expression |-9| − |4|. What is the value?

  87. 87.A cube has edges 4 centimeters long. A net shows all six square faces. What is the total area of those faces?

  88. 88.Rainfall amounts in Vandalia, already ordered, are 1, 2, 2, 6, and 9. What is the median?

  89. 89.A field near Mahomet is a triangle with base 20 yards and height 15 yards. What is its area?

  90. 90.A garden in Urbana plants tomatoes and peppers in the ratio 5:4. There are 36 plants in all. How many are pepper plants?

  91. 91.A print shop in Galesburg runs one press at 30 flyers per minute and another at 45 flyers per minute. Working together, how many flyers do they print in 4 minutes?

  92. 92.A festival in Collinsville draws 200 people, and the next festival draws 15 percent more. How many people attend the next festival?

  93. 93.A lab in Carbondale pours 5/2 liters of water into tubes that each hold 1/4 liter. How many full tubes is that?

  94. 94.On a number line in a Batavia classroom, the marked numbers are -7 and 2. Which statement is true?

  95. 95.The equation 0.5z = 8 matches half-price bundles in Naperville. What is z?

  96. 96.Four elevation changes, in feet, at Garden of the Gods are -6, 2, -1, and 8. What is the median?

  97. 97.A right triangle on a worksheet in Charleston has legs of 9 centimeters and 8 centimeters, and those legs are the base and the height. What is the area?

  98. 98.During one hour at the Harold Washington Library, 18 graphic novels and 24 chapter books are checked out. What fraction of these checkouts are graphic novels?

  99. 99.A cyclist on the Fox River Trail covers 42 miles in 3 hours at a steady speed. At that rate, how far does the cyclist ride in 5 hours?

  100. 100.A progress chart in a Moline classroom shows the fraction 3/5. What percent equals 3/5?

  101. 101.A volunteer at the Illinois State Fair in Springfield spends 7/2 hours on a job split into shifts of 1/2 hour. How many shifts is that?

  102. 102.The equation m + 1/2 = 3/2 matches a board length in a woodshop in Oregon, Illinois. What is m?

  103. 103.In a student vote in Normal, the ratio of yes votes to no votes is 7:3. What fraction of all the votes are yes votes?

  104. 104.A hiker at Giant City walks 9 miles in 3 hours at a steady pace. How many hours does it take the hiker to walk 15 miles at that pace?

  105. 105.A weather station in Dixon records that 0.45 of the days in a sample had rain. What percent is 0.45?

  106. 106.A trail crew in the Shawnee National Forest divides 3/5 mile of path into sections of 1/10 mile. How many sections is that?

  107. 107.The equation b − 2/5 = 3/5 matches a juice fill in Evanston. What is b?

  108. 108.A chili recipe from a cook-off in Quincy uses 5 cups of beans for every 2 cups of corn. The beans are how many times the amount of corn?