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Ohio's State Tests Mathematics Grade 7

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

These questions are original. This is not an official Ohio's State Tests exam, and FreeExam is not affiliated with the Ohio Department of Education and Workforce.

  1. 1.A ventilation dial in a greenhouse beside the Scioto River in Columbus may stay open only while −4x > 12. Which inequality gives every permitted value of x?

  2. 2.A round flower bed at Franklin Park Conservatory in Columbus has a radius of 4 feet. Using 3.14 for pi, what is the area of the bed?

  3. 3.A circular curb around a fountain at Fountain Square in Cincinnati has a radius of 4 meters. Using 3.14 for pi, what is the circumference of the curb?

  4. 4.A tin of honey at Findlay Market in Cincinnati wholesales for $50. The seller marks that price up by 20 percent. What is the selling price?

  5. 5.On a drawing of a lift bridge over the Maumee River in Toledo, 1 centimeter stands for 6 meters. The bridge measures 3 centimeters on the drawing. How long is the actual bridge?

  6. 6.A supply tin at the Toledo Museum of Art contains 12 counters, and 4 of them are red. A student draws one counter at random. What is the probability that the counter is red?

  7. 7.Two planks form a straight angle at a barn frame in Holmes County. One of the adjacent angles measures 65 degrees. What is the measure of the other angle?

  8. 8.Crates stacked at North Market in Columbus satisfy the equation 5(x − 1) = 20. What is the value of x?

  9. 9.Lock crews on the Muskingum River in Marietta move a gate only when −3x ≤ 18. Which inequality is the solution for x?

  10. 10.A buoy log from Kelleys Island is kept only if −5t < −20. Which inequality describes every allowed t?

  11. 11.A mooring check at Put-in-Bay passes when −2y ≥ 8. Solve the inequality for y.

  12. 12.A mill wheel in Yellow Springs is allowed to turn only while −6s > −18. Which values of s satisfy that rule?

  13. 13.Pickers near Lancaster wait until the overnight reading satisfies −8f ≤ −24. Which inequality gives f?

  14. 14.A pier sensor on the Cuyahoga River in Cleveland stays in range when x divided by −2 is less than 7. What is the solution?

  15. 15.A cellar gauge in German Village must satisfy −(1/2)c > 6. Which inequality describes c?

  16. 16.A stall limit at the West Side Market in Cleveland is −7n + 3 < 24. Which inequality describes n?

  17. 17.A saw guard in a Dayton workshop trips when 4 − 2x ≥ 10. Which inequality shows the values of x that trip the guard?

  18. 18.Rangers in Cuyahoga Valley National Park flag a counter reading when 3p > 15. Which inequality is the solution?

  19. 19.A booth at the Circleville Pumpkin Show stays on budget when 6m + 4 ≤ 40. Solve for m.

  20. 20.A barge on the Ohio River at Portsmouth records a depth change d that satisfies −9 < 3d. Which inequality describes d?

  21. 21.A class in Athens multiplies both sides of −x ≥ 5 by −1. Which inequality is the correct result?

  22. 22.A packing note in Kent says −4(x + 2) < 12. Which inequality describes x after the inequality is solved?

  23. 23.Surveyors found that the stock pond at Malabar Farm, near Mansfield, is a circle with radius 5 meters. Which area equals 3.14 times the radius squared?

  24. 24.One lap around a gazebo in Granville follows a circle of radius 5 meters. Which distance equals 2 × 3.14 × 5?

  25. 25.The rug in a lodge at Hocking Hills is a circle of radius 3 feet. Find the area when pi is replaced by 3.14.

  26. 26.Rangers enclosed a circular patch of radius 3 meters beside Serpent Mound. How long is that enclosure if pi is 3.14?

  27. 27.Workers marked a circle of radius 10 feet for a concrete pad near Wooster. What area does the pad cover when pi is 3.14?

  28. 28.Audience space at Lock 3 in Akron follows a circle of radius 10 meters. How long is one full walk around that circle if pi is 3.14?

  29. 29.From the center of a clock face in a Marietta tower to the rim is 6 inches. Which area equals 3.14 × 36?

  30. 30.Edging around a round bed at Stan Hywet Hall in Akron must match a radius of 6 feet. Which length is 2 × 3.14 × 6?

  31. 31.Designers of a splash pad in Sandusky used a radius of 7 feet for a circular wet zone. What is 3.14 × 49?

  32. 32.A mason in German Village laid a circular brick border with radius 7 meters. What is 2 × 3.14 × 7?

  33. 33.A circular skylight at the science center COSI in Columbus has a radius of 8 feet. Which value equals 3.14 × 64?

  34. 34.Tractors on a Holmes County farm follow a circular lane of radius 8 meters. How far is one trip around the lane if pi is 3.14?

  35. 35.Measured straight across, a utility cover on High Street in Columbus is 10 inches. What is its circumference when pi is 3.14?

  36. 36.Across the middle, a round table in Mansfield measures 22 feet, so the radius is 11 feet. Which area equals 3.14 × 121?

  37. 37.Seating at a band shell in Youngstown fills a circle of radius 9 feet. The ground area is 3.14 × 81. What is that area?

  38. 38.The painted circle on a gym floor in Bowling Green has radius 9 meters. How far does a runner go by staying on the paint for one full turn, using 3.14 for pi?

  39. 39.The iron rim of a wagon wheel in Dover sits 2 feet from the hub. What is the rim length when pi is 3.14?

  40. 40.Only 1 foot of radius is available for a round garden plot at Krohn Conservatory in Cincinnati. What is the planted area if pi is 3.14?

  41. 41.Planners gave a plaza outside the National Museum of the United States Air Force in Dayton a radius of 12 meters. What is 3.14 × 144?

  42. 42.A gardener in Lebanon walks the outside of a circular hedge whose radius is 12 feet. How long is that walk if pi is 3.14?

  43. 43.From the center of a pasture pond near Bellefontaine to the bank is 15 feet. What area of water is 3.14 × 225?

  44. 44.Cars follow a circular driveway in Hudson whose radius is 15 meters. What is the length of one full turn if pi is 3.14?

  45. 45.A delivery van leaving Athens uses 6 gallons of fuel to travel 180 miles. What is the unit rate?

  46. 46.A livery on the Little Miami River charges a constant $12 per hour. If c is the cost in dollars and h is the number of hours, which equation fits the charge?

  47. 47.Admission to a gallery in Cleveland is proportional to the number of visitors. A group of 2 pays $18. What is the constant of proportionality in dollars per visitor?

  48. 48.Which equation shows that y is proportional to x?

  49. 49.At a roadside stand in Athens, pawpaw jam sells as 2 jars for $7 or as 5 jars for $16. Which statement compares the prices correctly?

  50. 50.A book at a shop in Oberlin costs $40 before tax. Sales tax is 7 percent. How many dollars of tax are added?

  51. 51.Lunch at a diner in Lima costs $24 before the tip. A customer leaves a 15 percent tip. How much is the tip?

  52. 52.A coat in a Parma shop is priced at $90 and then marked down 30 percent. What is the sale price?

  53. 53.A student in Newark deposits $200 in an account that pays 4 percent simple interest per year. How much interest is earned in 3 years?

  54. 54.A cave guide near Bellefontaine earns an 8 percent commission on $250 of ticket sales. How much is the commission?

  55. 55.A student estimates that a bridge in Zanesville is 48 feet long. The measured length is 50 feet. What is the percent error?

  56. 56.A bird count at Magee Marsh near Oak Harbor rises from 40 birds to 50 birds. What is the percent increase?

  57. 57.On a classroom model of Grand Lake St. Marys, the water mark drops from 20 inches to 17 inches. What is the percent decrease?

  58. 58.A mug in Yellow Springs costs $20. It is discounted 10 percent, and then 5 percent tax is added to the discounted price. What is the final cost?

  59. 59.A studio in Cincinnati mixes 2 cups of blue paint for every 5 cups of white paint. How many cups of white paint are needed for 8 cups of blue paint?

  60. 60.A hiker on the Buckeye Trail covers 3/4 mile in 1/2 hour at a steady pace. What is the speed in miles per hour?

  61. 61.At a breakfast in Millersburg, the number of pancakes p is proportional to the number of eggs e, and the constant of proportionality is 2. Which equation fits?

  62. 62.A graph of cider sales in Geneva shows a proportional relationship. The point (4, 10) means 4 cups cost $10. What is the cost of 1 cup?

  63. 63.The morning temperature in Ashtabula is −8 degrees, and then it rises 5 degrees. What is the new temperature?

  64. 64.A diver near Put-in-Bay is at an elevation of −12 feet, and a buoy is at 3 feet. How many feet higher is the buoy than the diver?

  65. 65.A class in Tiffin computes (−6) × (−4). What is the product?

  66. 66.What is (−36) ÷ 9?

  67. 67.What is −2/3 + 1/6?

  68. 68.What is 3/4 − (−1/2)?

  69. 69.What is (−2/5) × (3/4)?

  70. 70.What is (−3/4) ÷ (1/2)?

  71. 71.On a number line used in a Lorain classroom, one point is at −7 and another is at 5. What is the distance between the points?

  72. 72.What is the absolute value of −19?

  73. 73.Which list orders −1.5, −2, 0.5, and −0.5 from least to greatest?

  74. 74.A recipe card in Holmes County calls for 3/8 cup of syrup. What is 3/8 written as a decimal?

  75. 75.A trail crew along the Kokosing River lays 5/6 mile of path in 2/3 hour. What is the rate in miles per hour?

  76. 76.Which expression is equivalent to −3(2x − 5)?

  77. 77.Simplify 4x − 7 + 2x + 3.

  78. 78.Which expression shows 12x + 18 factored by using the greatest common factor?

  79. 79.Solve 4x + 6 = 22.

  80. 80.Solve −3x + 5 = 20.

  81. 81.Solve 2(x + 6) = 18.

  82. 82.Solve 0.5x − 1.5 = 2.5.

  83. 83.Solve (2/3)x = 8.

  84. 84.A kayak rental on the Mohican River charges $8 plus $6 per hour. The bill is $32. How many hours were rented?

  85. 85.Solve 5x + 3 = 2x + 18.

  86. 86.Solve 6(n + 1) = 42.

  87. 87.Two angles in a window frame in Granville are complementary. One measures 28 degrees. What is the other angle?

  88. 88.Two boards cross in a fence in Xenia and form vertical angles. One angle measures 47 degrees. What is the measure of the angle vertical to it?

  89. 89.A triangular road sign stored in Chillicothe has angles of 50 degrees and 60 degrees. What is the third angle?

  90. 90.A scale drawing of a rectangular garden in Worthington uses 1 centimeter to stand for 4 meters. The drawing is 3 centimeters by 2 centimeters. What is the actual area?

  91. 91.On a map of the Ohio and Erie Canal, 1 inch stands for 5 miles. Two towns are 4 inches apart on the map. How far apart are the towns?

  92. 92.A rectangular pumpkin plot in Circleville is 15 yards long and 8 yards wide. What is its area?

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

  94. 94.A drainage cross-section near the Muskingum River is a trapezoid with bases 8 feet and 12 feet and height 5 feet. What is its area?

  95. 95.A box of fudge from a shop in Berlin, Holmes County, is a rectangular prism 8 inches by 5 inches by 3 inches. What is the volume?

  96. 96.A block of cheese in a cooler in Walnut Creek is a right triangular prism. The triangular base has base 6 centimeters and height 4 centimeters, and the prism is 10 centimeters long. What is the volume?

  97. 97.A cube-shaped crate in a Columbus warehouse has edges of 4 feet. What is the surface area of the crate?

  98. 98.A gift box in Dayton is a rectangular prism 6 inches long, 2 inches wide, and 3 inches high. What is its surface area?

  99. 99.A plane cuts through a wooden block shaped as a right rectangular prism, parallel to the rectangular bases. What shape is the flat cut?

  100. 100.A plane cuts a right triangular prism parallel to its two triangular ends. What shape is the cross section?

  101. 101.A model of a barn in Lancaster is built at a scale of 1 to 20. A door on the model is 4 centimeters tall. How tall is the real door?

  102. 102.A game wheel at a fair in Canfield is divided into 5 equal sections, and 2 of those sections are blue. What is the probability that the wheel stops on blue?

  103. 103.A bag in a Medina classroom holds 3 red tiles and 1 green tile. A tile is drawn, replaced, and drawn again. What is the probability that both tiles are green?

  104. 104.A forecast for Toledo gives a probability of 0.3 that rain will fall. What is the probability that rain will not fall?

  105. 105.Four canoe trips on Alum Creek measured 4 miles, 6 miles, 5 miles, and 9 miles. What is the mean length?

  106. 106.Five stands in Circleville sold 3, 8, 5, 8, and 4 pumpkins. What is the median number sold?

  107. 107.A sample of afternoon highs in Steubenville was 48, 55, 51, 60, and 46 degrees. What is the range?

  108. 108.In a random sample of 20 students at a school in Dublin, 5 walk to school. The school has 400 students. About how many students walk, based on the sample?