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Michigan Student Test of Educational Progress Mathematics Grade 6

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

These questions are original. This is not an official Michigan Student Test of Educational Progress exam, and FreeExam is not affiliated with the Michigan Department of Education.

  1. 1.Ice observers near Munising solve −5m > 15 while tracking a drop along Lake Superior. Which solution is correct?

  2. 2.A delivery van based in Bad Axe drives 120 miles in 4 hours at a steady speed. What is that speed in miles per hour?

  3. 3.A cider press in Fennville follows the equation 2x + 7 = 19, where x is the number of bushels still to press. What is x?

  4. 4.At sunrise in Copper Harbor the air temperature is −6 degrees Fahrenheit. What is |−6|?

  5. 5.A fudge kitchen on Mackinac Island has 2/5 pound of chocolate and cuts it into squares of 1/10 pound. How many squares does that chocolate make?

  6. 6.Of the 60 maple trees tagged in a woods near Mesick, 25 percent are ready to tap. How many of those trees are ready?

  7. 7.A kite flown over the dunes at Empire has a triangular panel with base 12 inches and height 4 inches. What is the area of that panel in square inches?

  8. 8.Five whitefish lengths, in inches, recorded at a dock in Leland are 3, 8, 1, 8, and 4. What is the median?

  9. 9.A load note at the ore dock in Marquette is written −4k ≤ 20. Which values of k make it true?

  10. 10.An orchard in South Haven keeps 5 peach trees for every 2 pear trees. The orchard has 14 pear trees. How many peach trees match that ratio?

  11. 11.A gardener in Holland has 18 tulip bulbs and 24 daffodil bulbs. The gardener makes the greatest number of identical bags and uses every bulb. How many bags is that?

  12. 12.A shipping crate on a Detroit dock is 8 feet long, 3 feet wide, and 2 feet high. What is its volume in cubic feet?

  13. 13.Cherries at a stand in Traverse City sell for $12 for 4 pounds. What is the price of 1 pound?

  14. 14.A market in Kalamazoo prices a basket with the expression 5(2y + 1). Which expression is equivalent by the distributive property?

  15. 15.On a street grid of downtown Ann Arbor, a library is plotted at (−2, 5). In which quadrant is that point?

  16. 16.Two ferries leave Mackinaw City together. One returns every 6 minutes and the other every 8 minutes. After how many minutes will they next leave together?

  17. 17.Four daily snowfall totals, in inches, for a week in Gaylord are 3, 7, 5, and 9. What is the mean?

  18. 18.After 9 boats leave a marina in Charlevoix, 14 boats remain. If x is the number that were docked at the start, then x − 9 = 14. What is x?

  19. 19.A quilter in Frankenmuth has 3/4 yard of flannel. Each square uses 1/8 yard. How many squares can be cut?

  20. 20.A forecast for Alpena says the chance of lake-effect snow is 8 percent. How is 8 percent written as a decimal?

  21. 21.A wind note for the Straits of Mackinac uses −3w < 18. Which solution is correct?

  22. 22.The low temperature in Iron Mountain is −11 degrees Fahrenheit. What is the opposite of that temperature?

  23. 23.A park lawn in East Lansing is a parallelogram with base 11 meters and height 4 meters. What is the area of the lawn in square meters?

  24. 24.A worksheet in Big Rapids asks for the product of −6 and −3. What is that product?

  25. 25.A student in Ypsilanti types 240 words in 6 minutes at a steady pace. How many words per minute is that?

  26. 26.Four friends in Petoskey share a stack of n postcards so that each friend gets 7. The equation is n/4 = 7. What is n?

  27. 27.Four harbor readings in Muskegon, in feet relative to a zero mark, are −0.6, 1.2, −2, and 0.4. Which reading is closest to zero?

  28. 28.Forty percent of the seats in a hall in Battle Creek are filled. Which fraction in simplest form equals 40 percent?

  29. 29.A cooling log at a greenhouse in Hudsonville uses −2t ≥ −14. Which solution is correct?

  30. 30.A closed gift box in a Grand Haven shop is 5 inches long, 2 inches wide, and 1 inch high. What is its surface area in square inches?

  31. 31.A stack of crates in Saginaw is described by 4³. What is the value of 4³?

  32. 32.Which question is statistical?

  33. 33.A board at a lumberyard in Cadillac is 3.5 meters long. A second board is twice as long. How many meters long is the second board?

  34. 34.For a spice mix in Dearborn, evaluate 3a + 4 when a = 5.

  35. 35.The ages, in years, of four dogs at a shelter in Jackson are 2, 11, 6, and 5. What is the range of the ages?

  36. 36.A shop in Saugatuck fills bags with 18 almonds and 24 dried cherries. What is the ratio of almonds to dried cherries in simplest form?

  37. 37.An engineer note for a span near St. Ignace uses −6p > −30. Which solution is correct?

  38. 38.At dawn in Houghton the temperature is −8 degrees Fahrenheit. By noon it has risen 13 degrees. What is the noon temperature?

  39. 39.On a map of the Keweenaw Peninsula, 1 centimeter stands for 5 miles. A marked trail is 6 centimeters on the map. How many miles long is the trail?

  40. 40.Daily bike counts on a path in Royal Oak are 12, 9, 12, 15, 9, and 12. Which number is the mode?

  41. 41.A savings jar in Novi starts with $5, and $4 is added each week. After w weeks the jar holds $29, so 4w + 5 = 29. What is w?

  42. 42.A gardener in Chelsea uses 2/3 of a 9-pound bag of soil. How many pounds of soil is that?

  43. 43.Six commute times, in minutes, for a carpool in Troy are 2, 4, 6, 8, 10, and 12. What is the interquartile range?

  44. 44.A booth at the Ann Arbor Art Fair charges $4 to enter and $3 for each print. Which expression gives the cost, in dollars, of entering and buying p prints?

  45. 45.A balance card in a Cheboygan classroom shows n/(−4) ≤ 3. Which solution is correct?

  46. 46.On a number line in a Marquette classroom, one marker is at −4 and another is at 3. What is the distance between the markers?

  47. 47.A meal in Greektown in Detroit costs $40 before the tip. How many dollars is a 15 percent tip?

  48. 48.A garden bed in Midland is a trapezoid with bases of 10 feet and 6 feet and a height of 4 feet. What is its area in square feet?

  49. 49.A class in Bay City computes (−36) ÷ 9. What is the quotient?

  50. 50.A display in Bay City holds 6 walleye for every 9 perch. Which ratio uses 2 walleye and keeps the same relationship?

  51. 51.Four window boxes in Zeeland each hold x − 2 seedlings, and together they hold 20 seedlings. The equation is 4(x − 2) = 20. What is x?

  52. 52.A hiker on the trail to Tahquamenon Falls walks 2.75 miles before lunch and 1.4 miles after lunch. How many miles is that altogether?

  53. 53.A depth formula used on Higgins Lake is −(1/2)r ≥ 6. Which solution is correct?

  54. 54.A lesson in Escanaba asks for |−12| + |3|. What is that sum?

  55. 55.At a farm in Hart, 10 percent of the corn stalks in a sample is 7 stalks. How many stalks are in the whole sample?

  56. 56.A cube-shaped gift box in a Birmingham shop has edges of 3 inches. What is the surface area of the box in square inches?

  57. 57.A factor chart in Lowell asks which expression shows 36 as a product of prime factors.

  58. 58.Two crews pick apples near Sparta. Crew A picks 84 pounds in 7 hours. Crew B picks 90 pounds in 6 hours. Which comparison is correct?

  59. 59.On a grid used in a Lansing class, point A is at (1, 2) and point B is at (1, 8). What is the distance between A and B?

  60. 60.A rope in a boathouse in Ludington is 7.2 meters long and is cut into 3 equal pieces. How long is each piece?

  61. 61.A pulley note in a Hancock mill is written −8 ≤ −2y. Which solution is correct?

  62. 62.A chowder recipe in St. Joseph uses 2 cups of milk to make 3 servings. How many cups of milk make 12 servings?

  63. 63.A museum model in Grand Rapids starts at −15 feet and then rises 6 feet. What is its new position relative to the surface, in feet?

  64. 64.Five quiz scores in a class in Portage are 4, 7, 7, 10, and 12. What is the median score?

  65. 65.A classroom aquarium in Niles goes from 40 fish to 50 fish. What is the percent increase?

  66. 66.On a worksheet in Owosso, which expression is equivalent to 6n + 2n − 5?

  67. 67.A triangular sail in Pentwater has area 36 square feet and base 9 feet. What is the height in feet?

  68. 68.A sale sign in a Rochester bookstore says the discount is 0.15 of the price. What percent is 0.15?

  69. 69.Storage at a warehouse in Warren follows the rule 5 − 3x > 20. Which solution is correct?

  70. 70.Which number has the greater absolute value, −13 or 8?

  71. 71.A rectangular planter in Benton Harbor is 4 feet long, 1/2 foot wide, and 1/2 foot deep. What is its volume in cubic feet?

  72. 72.A balance scale in a Monroe classroom is modeled by 12 = 3m − 6. What is m?

  73. 73.Riders leaving Wyoming sit in a pattern of 3 sixth graders for every 2 eighth graders. One bus holds 25 students in that same pattern. How many of them are sixth graders?

  74. 74.A number-line warm-up in Menominee asks for −7 + (−4). What is the sum?

  75. 75.A dot plot of laps run by students in Okemos shows 2 students at 1 lap, 4 students at 2 laps, and 1 student at 5 laps. How many students are represented?

  76. 76.A square garden plot in Ada measures 9 yards on each side. What is its area in square yards?

  77. 77.A lab card in Mount Pleasant shows −9g < −36. Which solution is correct?

  78. 78.A cyclist in Whitehall rides 1/2 mile in 1/4 hour at a steady speed. What is that speed in miles per hour?

  79. 79.A point plotted for a map of Belle Isle in Detroit is (0, −6). Where does that point lie?

  80. 80.Hot cider at a stand in Cedar Springs is restocked every 4 minutes, and pretzels are restocked every 6 minutes. Both were just restocked. In how many minutes will they next be restocked together?

  81. 81.Students in a Grayling class solve c/(−3) > −5. Which solution is correct?

  82. 82.A cook in Manistee has 4 cups of stock. Each bowl uses 2/3 cup. How many bowls can be filled?

  83. 83.Three temperature readings in Sault Ste. Marie are −2, 4, and 1 degrees Fahrenheit. What is the mean?

  84. 84.A banner order in Allegan uses 4(y + 3) − 2y. Which expression is equivalent?

  85. 85.A coat in a shop in Bloomfield Hills costs $80 before a markdown of 25 percent. What is the sale price in dollars?

  86. 86.A class in Ionia asks for the greatest common factor of 28 and 42. What is that factor?

  87. 87.A ticket booth in Interlochen uses 4h + 6 ≤ 30 to decide how many extra chairs, h, can be set out. Which solution is correct?

  88. 88.On a coordinate grid in a Plymouth classroom, a rectangle has corners at (1, 1), (5, 1), (5, 4), and (1, 4). What is its area in square units?

  89. 89.A baker in Marshall has 5/6 cup of sugar and uses 1/3 cup. How much sugar is left?

  90. 90.The ferry from Mackinaw City to Mackinac Island travels 8 miles in 20 minutes at a steady speed. What is that speed in miles per hour?

  91. 91.Five donation amounts, in dollars, at a bake sale in Alma are 2, 3, 4, 5, and 30. Which statement is correct?

  92. 92.Half of the photos in an album from Sleeping Bear Dunes equals 9. The equation is (1/2)p = 9. What is p?

  93. 93.A snow-day rule in Kalkaska is written −4(x + 1) ≥ 12. Which solution is correct?

  94. 94.A factor lesson in Negaunee asks which list contains only prime numbers.

  95. 95.A cooler in a Harbor Springs shop is 10 inches long, 6 inches wide, and 5 inches high. What is its volume in cubic inches?

  96. 96.A book in a Haslett shop costs $30 before a sales tax of 6 percent. How many dollars is the tax?

  97. 97.Which values of c make −7 < −c true?

  98. 98.Paint for a mural in East Grand Rapids is mixed 2 parts blue for every 5 parts white. A batch uses 15 parts white. How many parts blue does that batch need?

  99. 99.In Ironwood, one reading is −3 degrees Fahrenheit and another is −8 degrees Fahrenheit. Which statement is true?

  100. 100.A shop in Dowagiac writes 12 + 8k for a crate order. Which expression is a factored form of 12 + 8k?

  101. 101.Miles hiked on a trail in the Porcupine Mountains satisfy y/5 > 3. What is the solution for y?

  102. 102.Four morning temperatures in Gladstone, in degrees Fahrenheit, are 2, 10, 6, and 8. What is the median?

  103. 103.Five identical crates in Burton weigh 65 pounds altogether. If y is the weight of one crate, then 5y = 65. What is y?

  104. 104.Paint for a wall in Douglas measures 5/6 gallon. It is poured into trays that each hold 1/3 gallon. What is (5/6) ÷ (1/3)?

  105. 105.A greenhouse log in Allendale uses −2p ≤ 18. Which solution is correct?

  106. 106.The distance a car in Livonia has traveled is m = 40t, where t is the number of hours and m is the number of miles. How many miles does the car travel in 3 hours?

  107. 107.A floor in a cottage in Glen Arbor is a 10-foot by 6-foot rectangle with a 2-foot by 2-foot closet cut out of one corner. What is the remaining floor area in square feet?

  108. 108.A class in Ishpeming computes (−5) × 4 + (−3). What is the value?