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Michigan Student Test of Educational Progress Mathematics Grade 7

Proportions, rational numbers, equations, circles, and probability.

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.A walk-in cooler at Eastern Market in Detroit stays running only while −4x > 12, where x is the control setting. Which inequality describes every allowed value of x?

  2. 2.A circular herb bed at Frederik Meijer Gardens in Grand Rapids has a radius of 4 feet. Using 3.14 for pi, what is the area of the bed?

  3. 3.A walking path circles a fountain on Belle Isle. The path has a radius of 4 meters. Using 3.14 for pi, what is the circumference of the path?

  4. 4.A maple-syrup tin from a shop in Vermontville has a wholesale price of $50. The shop marks that price up by 20 percent. What is the selling price?

  5. 5.On a drawing of a gate at the Soo Locks in Sault Ste. Marie, Michigan, 1 centimeter stands for 6 meters. The gate is 3 centimeters long on the drawing. How long is the real gate?

  6. 6.A classroom kit at the Detroit Institute of Arts holds 12 counters, and 4 of them are red. One counter is drawn at random. What is the probability that it is red?

  7. 7.Two beams in a model of the Mackinac Bridge meet in a straight angle. One of the adjacent angles measures 65 degrees. What is the measure of the other?

  8. 8.The width, in feet, of a loading plank at a dock in Ludington satisfies 5(x − 1) = 20. What is x?

  9. 9.A freighter may enter the channel at Port Huron when the depth d, in feet, satisfies 3d − 6 ≥ 15. Which inequality gives every depth that works?

  10. 10.A harbor beacon in Muskegon stays on while −3t < 18, where t is the number of hours after sunset. Which inequality shows every such hour count?

  11. 11.The ticket window at the Wharton Center in East Lansing keeps the remaining seat count r inside the rule r/5 ≤ 8. Which inequality shows every seat count that fits?

  12. 12.A trail post at Sleeping Bear Dunes must satisfy −4e ≥ 28, where e is the elevation change in meters. Which inequality shows every change that meets the rule?

  13. 13.A cherry cooler in Traverse City runs while −2c + 4 > 16, where c is the dial setting. Which inequality shows every dial setting that works?

  14. 14.The line for the Beaver Island ferry in Charlevoix may grow only while 6w − 9 < 21, where w is the number of extra groups. Which inequality shows every allowed group count?

  15. 15.An outdoor rink in Marquette opens a side gate when −5h ≥ −35, where h is the number of hours past noon. Which inequality shows every hour count that opens the gate?

  16. 16.A field-trip fund in Kalamazoo stays within m/3 + 2 ≤ 11, where m is the number of dollars still to raise. Which inequality shows every amount that fits?

  17. 17.A sensor on the Michigan side of the St. Clair River trips when −8s < 24, where s is the signed flow reading. Which inequality shows every reading that trips the sensor?

  18. 18.An orchard crew in Suttons Bay may add bins only while 4b + 7 > 31, where b is the number of bins already on the truck. Which inequality shows every bin count that allows another load?

  19. 19.A lab notebook in Houghton requires −(1/2)x ≤ 6. Which inequality shows every value of x the notebook allows?

  20. 20.A repair crew on I-75 near Flint keeps working while 2p − 14 ≥ −4, where p is the number of open patches still needed. Which inequality shows every patch count that keeps the crew working?

  21. 21.A club account in Saginaw must satisfy −6k + 3 ≤ −15, where k is a weekly payment count. Which inequality shows every payment count the account allows?

  22. 22.A paint budget in Allegan uses the rule (2/3)n > 8, where n is the number of small cans. Which inequality shows every can count the budget allows?

  23. 23.A lighthouse keeper at Presque Isle, near Alpena, follows the lamp rule −9y > −27. Which inequality shows every value of y the rule allows?

  24. 24.A school-bus yard in Owosso allows extra riders only while g/4 − 1 ≥ 5, where g is the number of extra riders. Which inequality shows every rider count the yard allows?

  25. 25.The circular observation pad at Whitefish Point has a radius of 10 feet. Using 3.14 for pi, what is the circumference of the pad?

  26. 26.A circular skating pond in Holland has a radius of 5 meters. Take pi to be 3.14. What is the area of the pond?

  27. 27.A round clock face in the Michigan State Capitol in Lansing has a radius of 7 inches. With pi equal to 3.14, what is the area of the face?

  28. 28.A bicycle wheel at a shop on Liberty Street in Ann Arbor has a diameter of 26 inches. Using 3.14 for pi, what is the circumference of the wheel?

  29. 29.A circular fountain basin at Dow Gardens in Midland has a radius of 9 feet. Using 3.14 for pi, what is the area of the basin?

  30. 30.A circular steel ring on a bridge project in Bay City has a radius of 3 feet. Using 3.14 for pi, what is the circumference of the ring?

  31. 31.A circular rug in a gallery in Petoskey has a radius of 8 inches. Take pi to be 3.14. What is the area of the rug?

  32. 32.A circular flower bed in Frankenmuth has a diameter of 22 feet. Using 3.14 for pi, what is the circumference of the bed?

  33. 33.A commemorative coin in a museum case in Howell is a circle with radius 6 centimeters. Using 3.14 for pi, what is the area of the coin face?

  34. 34.A circular wading pool in South Haven has a radius of 15 feet. Using 3.14 for pi, what is the circumference of the pool?

  35. 35.An outdoor stage at Interlochen is a 10-foot by 6-foot rectangle with a semicircular apron of radius 3 feet. Using 3.14 for pi, what is the total area?

  36. 36.A parade drum used by a band in Pontiac has a circular head with radius 12 inches. Using 3.14 for pi, what is the area of the drumhead?

  37. 37.A buoy off Grand Haven swings in a circle of radius 11 meters. Using 3.14 for pi, what is the circumference of that circle?

  38. 38.A pasty at a bakery in Calumet costs $8 before tax. The sales tax is 6 percent. What is the total price, including tax?

  39. 39.A winter coat at a store in Cadillac was priced at $80. The store marks the coat down by 25 percent. What is the sale price?

  40. 40.A dinner bill at a restaurant in Saugatuck is $45 before the tip. The diner leaves a tip of 20 percent. How much is the tip?

  41. 41.A sales agent in Rochester, Michigan, earns a 3 percent commission on a $200,000 house. How much is the commission?

  42. 42.A credit union in Adrian pays 5 percent simple interest per year. How much interest does a $400 deposit earn in 2 years?

  43. 43.Attendance at a weekend festival in Grand Haven rose from 200 visitors on Friday to 250 visitors on Saturday. What was the percent increase?

  44. 44.A staff gauge near Tawas City showed the river 40 inches above a mark on Monday and 30 inches above the mark on Tuesday. What was the percent decrease?

  45. 45.A student in Ypsilanti estimates that a banner is 50 centimeters long. The banner is actually 40 centimeters long. What is the percent error of the estimate?

  46. 46.A ferry ticket from Mackinaw City costs $18, and a fuel fee of 10 percent is added. What is the total cost?

  47. 47.A bicycle at a shop in Rockford, Michigan, is priced at $120. During a sale the shop takes 15 percent off. What is the sale price?

  48. 48.A lunch bill in Royal Oak is $30. A 6 percent tax is added, and the diner also leaves a 20 percent tip on the $30 food price. What is the total paid?

  49. 49.A coach bus travels from Jackson to Battle Creek, a distance of 90 miles, in 2 hours at a steady speed. What is the unit rate?

  50. 50.A farm stand in Benton Harbor sells 6 pounds of peaches for $18. What is the price per pound?

  51. 51.A bakery in Marshall uses 2 cups of flour for every 3 dozen cookies. How many cups of flour are needed for 12 dozen cookies?

  52. 52.At a sugar shack in Maple City, bottles filled are proportional to gallons of sap boiled. The crew fills 12 bottles from 4 gallons. What is the constant of proportionality, in bottles per gallon?

  53. 53.A kayak on the Au Sable River travels 6 miles in 2 hours at a steady rate. Which equation gives the distance m, in miles, after h hours?

  54. 54.On a graph of a hike in the Porcupine Mountains, hours and miles are proportional, and the point (5, 15) lies on the graph. What does that point mean?

  55. 55.A shop in Birmingham, Michigan, sells 4 notebooks for $6. A shop in Bloomfield Hills sells 6 notebooks for $8. Which shop has the lower price per notebook?

  56. 56.A trail map of Mackinac Island uses a scale of 1 inch to 0.5 mile. A shoreline path measures 4 inches on the map. How long is the real path?

  57. 57.A mural crew in Carriage Town in Flint mixes paint in the ratio 3 parts blue to 5 parts white. The crew uses 15 parts white. How many parts blue should they mix in?

  58. 58.At dawn in Ironwood the temperature was −8 degrees Fahrenheit. By noon it had risen 13 degrees. What was the noon temperature?

  59. 59.A diver at Pictured Rocks starts at an elevation of −12 feet and then goes down another 7 feet. What is the new elevation?

  60. 60.Over 4 days, Munising records a snow-depth change of −3 inches each day. What is the total change?

  61. 61.A club in Essexville shares a balance change of −48 dollars equally among 6 members. What is each member's share of that change?

  62. 62.A ranger at Tahquamenon Falls walks 1/4 mile to an overlook and then 3/8 mile along the river. How far does the ranger walk in all?

  63. 63.A woodworker in Harbor Springs starts with a board that is 7/8 inch thick and planes off 3/8 inch. How thick is the board then?

  64. 64.A baker in Zeeland needs 2/3 cup of sugar for a full batch and makes only 3/4 of a batch. How much sugar does the baker use?

  65. 65.A shop in St. Ignace has 3/2 pounds of fudge and packs it into bags of 1/4 pound. How many full bags can be packed?

  66. 66.A measuring tape in a shop in Albion shows a length of 3/5 meter. Which decimal equals 3/5?

  67. 67.A science class in Big Rapids lists four morning temperatures: −2.1, −7/4, −1.5, and −0.8 degrees Celsius. Which list orders them from least to greatest?

  68. 68.One January morning, Ironwood is at −17 degrees Fahrenheit and Marquette is at −9 degrees Fahrenheit. Which statement is true?

  69. 69.On a number line in a classroom in Mount Pleasant, one point is at −6 and another is at 4. What is the distance between the points?

  70. 70.A scoreboard operator at Michigan Stadium in Ann Arbor evaluates −3 + 8 × (−2). What is the value?

  71. 71.A student in Okemos expands and simplifies 4(2n − 3) + n. Which expression is equivalent?

  72. 72.A carpenter in Hastings rewrites 12x + 18 by factoring out the greatest common factor. Which expression matches that rewrite?

  73. 73.Which expression is equivalent to 3(x + 5) − 2x for a banner layout drawn in DeWitt?

  74. 74.A gardener in Chelsea simplifies −5y + 9 + 2y − 4. Which expression is equivalent?

  75. 75.A canoe rental in Manistee uses the equation 4x + 6 = 30, where x is the number of hours. What is x?

  76. 76.The width, in feet, of a parade banner in Portage, Michigan, satisfies 3(x + 4) = 27. What is x?

  77. 77.A lab balance in Alma satisfies −2(x − 3) = 10. What is x?

  78. 78.A parts count at a factory in Wyoming, near Grand Rapids, satisfies 5x + 2 = 2x + 14. What is x?

  79. 79.Seven more than twice the number of lighthouses sketched by a class in Alpena is 19. How many lighthouses were sketched?

  80. 80.Two cables at a utility pole in Niles, Michigan, form complementary angles. One angle measures 28 degrees. What is the other angle?

  81. 81.Two steel braces cross at a job site in Monroe and form vertical angles. One angle measures 47 degrees. What is the measure of the angle opposite it?

  82. 82.Two adjacent angles at a street corner in Hillsdale form a straight line. One measures 112 degrees. What does the other measure?

  83. 83.A sail pattern in a loft in St. Joseph is a triangle with angles of 50 degrees and 60 degrees. What is the third angle?

  84. 84.Two beams cross in a barn frame in Charlotte, Michigan. One angle formed by the beams measures 35 degrees. What is the measure of an angle adjacent to it?

  85. 85.A rectangular garden in Dearborn is 12 feet long and 9 feet wide. What is its area?

  86. 86.A sail on a boat in Leland has a base of 10 feet and a height of 6 feet. What is the area of the triangular sail?

  87. 87.A trapezoidal flower bed in Grosse Pointe has bases of 8 feet and 12 feet and a height of 5 feet. What is its area?

  88. 88.A shipping crate in Warren is a rectangular prism 4 feet long, 3 feet wide, and 5 feet high. What is its volume?

  89. 89.A cube-shaped display case at Greenfield Village in Dearborn has edges of 3 feet. What is the surface area of the cube?

  90. 90.A gift box in Grandville is a rectangular prism 2 inches by 3 inches by 4 inches. What is its surface area?

  91. 91.A cylinder of fudge in a shop on Mackinac Island is sliced by a plane parallel to the bases. What shape is the flat face of the slice?

  92. 92.On a site plan for a park in Novi, 1 centimeter stands for 2 meters. A rectangular lawn is 3 centimeters by 4 centimeters on the plan. What is the real area of the lawn?

  93. 93.A builder in Brighton, Michigan, wants a triangular brace. Which set of side lengths, in inches, can form a triangle?

  94. 94.A cone-shaped pile of road salt in Grayling is sliced by a plane parallel to the circular base and not through the apex. What shape is the face of that slice?

  95. 95.A rectangular block of ice at a festival in Cheboygan is sliced by a plane parallel to one rectangular face. What shape is the face of that slice?

  96. 96.Four towns on the Michigan shore of Lake Huron report snowfall totals of 6, 8, 10, and 4 inches. What is the mean of these totals?

  97. 97.A math club in Haslett lists quiz scores of 12, 15, 9, 18, and 11. What is the median?

  98. 98.Afternoon highs one week in Pentwater, in degrees Fahrenheit, are 71, 64, 80, and 69. What is the range of these highs?

  99. 99.A student in Lansing wants a random sample of seventh graders' travel times to school. Which method gives a random sample?

  100. 100.In a random sample of 50 students at a school in Troy, Michigan, 20 walk to school. The school has 400 students. About how many of the 400 walk?

  101. 101.A class in Fremont read a mean of 24 pages last week. A class in Hart read a mean of 31 pages. Which statement is true?

  102. 102.A spinner at a fair in Manchester, Michigan, has 5 equal sections, and 2 of them are labeled cherry. What is the probability of landing on a section that is not labeled cherry?

  103. 103.A jar in a science class in Williamston has 3 red marbles and 1 blue marble. A marble is drawn, replaced, and drawn again. What is the probability that both draws are red?

  104. 104.A bag in a classroom in Mason holds 4 green tiles and 1 yellow tile. Two tiles are drawn at random without replacement. What is the probability that both are green?

  105. 105.A cafe in Dexter offers 2 kinds of bread and 3 kinds of filling. A lunch is one bread and one filling. How many different lunches are possible?

  106. 106.A number cube with faces 1 through 6 is rolled at a game table in Battle Creek. What is the probability of rolling a number greater than 4?

  107. 107.A student in a classroom in Coldwater flips a coin 40 times and gets 18 heads. What is the experimental probability of heads for this experiment?

  108. 108.Which number could be the probability of an event at a festival booth in Three Rivers?