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Ohio's State Tests Mathematics Grade 5

Decimals, fraction operations, volume, and numerical expressions.

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.In a Cincinnati kitchen, a cook stirs 1/3 cup of honey into a bowl and then adds 1/6 cup of lemon juice. How much liquid is in the bowl?

  2. 2.A wooden trail blaze in Hocking Hills is 0.2 meter across. Yellow paint covers 0.4 of that width. What is the width of the painted part?

  3. 3.A produce carton at a Columbus market measures 5 units in length, 4 units in width, and 2 units in height. What is its volume?

  4. 4.A student in Dayton simplifies the expression 4 + 3 × 5. What value should the student get?

  5. 5.An Akron classroom chart names the number 10 to the fourth power. Which value matches that power?

  6. 6.A map of canal mileposts near Akron places a bench at the point (2, 5). How do you move from the origin to that bench?

  7. 7.A boathouse on Sandusky Bay has 4.2 liters of rinse water to divide into bottles that hold 0.7 liter each. How many bottles can be filled?

  8. 8.A Cleveland rail car closes its doors at 3:10 and reaches the next station at 3:55. How many minutes is that ride?

  9. 9.A depth board where the Muskingum meets the Ohio River at Marietta reads 6.48 meters. Which digit is in the tenths place?

  10. 10.After a spring shower, a rain gauge in a Chillicothe garden shows 3.159 inches. Which digit is in the hundredths place?

  11. 11.A produce scale at a Toledo market reads 7.026 kilograms. Which digit is in the thousandths place?

  12. 12.Two sacks of corn at a Dayton mill weigh 0.45 kilogram and 0.5 kilogram. Which comparison is correct?

  13. 13.A gorge path in Hocking Hills measures 4.37 miles. What is that length rounded to the nearest tenth of a mile?

  14. 14.A ferry crossing Sandusky Bay covers 8.62 miles. Rounded to the nearest whole mile, what distance should a timetable list?

  15. 15.A cedar board in a Cincinnati workshop is 5.27 meters long. Which expression shows that length in expanded form?

  16. 16.A lab note in Columbus says a beaker holds six and forty-three thousandths liters. Which standard form matches those words?

  17. 17.A garden row beside the Cuyahoga River in Akron is 4.7 meters long. A scale drawing multiplies that length by 10. What length appears on the drawing?

  18. 18.Fishers on Lake Erie bring in 63.5 pounds of perch and split the catch into 10 equal shares. How many pounds are in one share?

  19. 19.On a place-value chart in Toledo, one 4 is the first digit of 4,000 and another 4 is the first digit of 400. How do those values compare?

  20. 20.Three jars of honey at a Chillicothe stand hold 0.39 liter, 0.4 liter, and 0.308 liter. Which list goes from least to greatest?

  21. 21.Students in Columbus build a large cube that has 10 unit cubes along every edge. How many unit cubes are in the large cube?

  22. 22.Gardeners along the Great Miami River in Dayton set out sunflower seeds in 10 rows with 10 seeds in every row. How many seeds are planted?

  23. 23.A display case in a Cleveland library shows the product 10 × 10 × 10 × 10 × 10. What is that product?

  24. 24.A canoe measured on the Maumee River in Toledo is 3.25 meters long. How many centimeters is that length?

  25. 25.A dock plank on Sandusky Bay is 450 centimeters long. What is that length in meters?

  26. 26.A marked loop near Cedar Falls in Hocking Hills is 0.6 kilometer long. How many meters is that loop?

  27. 27.A floor tile in a Cincinnati station has 4 equal sides and 4 right angles. Which figure matches the tile?

  28. 28.A sternwheeler landing in Marietta sells tickets in packs of 28. A school buys 15 packs. How many tickets is that?

  29. 29.A theater near Public Square in Cleveland sets out 24 rows with 36 seats in each row. How many seats are there?

  30. 30.An orchard crew near Chillicothe packs 192 apples into cartons that each hold 12 apples. How many cartons do they fill?

  31. 31.A field day in Akron places 336 students into 8 equal teams. How many students are on each team?

  32. 32.A dockhand on Sandusky Bay ties a 4.8-meter line to a 1.35-meter line with no overlap. What is the combined length?

  33. 33.A fishing boat on Lake Erie starts with 7.4 gallons of fuel and burns 2.85 gallons. How much fuel is left?

  34. 34.Volunteers in Dayton fill 4 sacks, and each sack holds 1.6 kilograms of prairie seed. How many kilograms do they use?

  35. 35.A craft table in Marietta has a ribbon that is 0.8 meter long. A student uses 0.5 of that ribbon. How long is the piece that is used?

  36. 36.A lunchroom in Columbus has 4.5 liters of apple juice to pour into pitchers that each hold 0.9 liter. How many pitchers can be filled?

  37. 37.A pancake batter in Cincinnati starts with 1/2 cup of milk, and the cook adds 1/4 cup of water. How much liquid is that?

  38. 38.A painter in Toledo opens a can that is 5/6 full and uses 1/3 of a full can on a door. What fraction of a full can remains?

  39. 39.Hikers packing food for Hocking Hills combine 2 1/4 cups of nuts with 1 1/2 cups of dried fruit. How many cups of mix do they have?

  40. 40.A recipe card in Akron lists 11/4 cups of broth. Which mixed number names the same amount?

  41. 41.Bakers in Chillicothe share 3 equal pies equally among 4 people. What fraction of a pie does each person get?

  42. 42.A garden bed beside the Muskingum River in Marietta measures 3/4 yard by 2/5 yard. What is the area of the bed?

  43. 43.A parade banner in Cleveland is 20 feet long. A smaller copy is 3/4 as long as the banner. How long is the copy?

  44. 44.A supply box in Dayton holds 18 markers, and 2/3 of them are blue. How many blue markers are in the box?

  45. 45.A 1/4-pound block of cheese at a Sandusky market is cut into 3 pieces of equal mass. What is the mass of one piece?

  46. 46.A stand in Hocking Hills has 4 cups of cider and serves it in 1/2-cup cups. How many servings can the stand pour?

  47. 47.A bookshelf built in a Toledo shop is 4 feet long. How many inches is that shelf?

  48. 48.A walking tour along the Scioto River in Columbus is scheduled for 3 hours. How many minutes is that tour?

  49. 49.A bakery sack in Cincinnati holds 6 pounds of flour. How many ounces of flour are in the sack?

  50. 50.A mooring line at an Ohio River landing in Marietta is 5 yards long. How many feet is that line?

  51. 51.A water jug packed for a hike out of Akron holds 2.5 liters. How many milliliters is that?

  52. 52.Four short hikes recorded near Ash Cave are 1/2 mile, 3/4 mile, 1/2 mile, and 1/4 mile. What is the total distance?

  53. 53.A warehouse bin in Cleveland is packed with unit cubes in 6 layers. Each layer is 3 cubes wide and 4 cubes long. What is the volume?

  54. 54.A rectangular prism built in Dayton has a base area of 12 square units and a height of 5 units. What is the volume?

  55. 55.A model in Columbus joins a 3-by-2-by-4 prism to a 5-by-2-by-2 prism. The prisms do not overlap. What is the total volume?

  56. 56.On a grid of fishing spots along Lake Erie, the axes cross at the point (0, 0). What is that point called?

  57. 57.A harbor map of Sandusky Bay plots a buoy at (6, 0). Where is that buoy?

  58. 58.From the origin on a Scioto River map in Columbus, a bench is 4 units right and 1 unit up. Which ordered pair names the bench?

  59. 59.A class in Chillicothe plots points only in the first quadrant, not on either axis. Which ordered pair belongs in that region?

  60. 60.A score sheet at an Akron meet shows the expression (8 + 2) × 4. What is the value of that expression?

  61. 61.A board in a Dayton workshop shows 3 × (6 − 1). Which value matches the expression?

  62. 62.A clerk in Toledo says, "Add 6 and 4, then multiply the sum by 2." Which expression matches those words?

  63. 63.Buoys along a Lake Erie channel are numbered 4, 10, 16, and 22. The same amount is added each time. What number comes next?

  64. 64.One bead pattern at a Marietta museum starts at 0 and adds 3, giving 0, 3, 6, 9, 12. Another starts at 0 and adds 6, giving 0, 6, 12, 18, 24. Which statement about terms in matching positions is true?

  65. 65.A graph of bridge lengths in Cincinnati shows the points (1, 2), (2, 4), and (3, 6). The same rule continues. Which point comes next?

  66. 66.A steel beam measured in a Dayton shop is 12.462 meters long. What is that length rounded to the nearest hundredth of a meter?

  67. 67.A ceramics studio in Columbus compares 4.08 kilograms of clay with 4.8 kilograms of clay. Which statement is true?

  68. 68.A place-value slide in Chillicothe multiplies 0.37 by 100. What is the product?

  69. 69.A stretch of the Ohio River marked on a Marietta map is 8,400 meters long. What is that distance in kilometers?

  70. 70.A counter in an Akron classroom shows 56,308 buttons. What is the value of the digit 6?

  71. 71.How does the 3 in 3,500 compare with the 3 in 350 on a chart posted in Toledo?

  72. 72.Volunteers in Toledo sort 1,176 programs into equal stacks of 24. How many stacks do they make?

  73. 73.A print shop in Cleveland runs 246 sheets for each of 17 class packets. How many sheets are printed?

  74. 74.A tank at a Sandusky marina holds 10 liters. After 3.68 liters are used, how much water remains?

  75. 75.A trim board in Dayton is 2.5 meters long. A matching strip is 1.4 times as long. How long is the strip?

  76. 76.A roll of ribbon in Marietta is 6.3 meters long. It is cut into pieces that are each 0.3 meter long. How many pieces does the roll make?

  77. 77.Trail crews in Hocking Hills use 3/8 gallon of paint on one morning and 1/4 gallon that afternoon. How much paint do they use in all?

  78. 78.A bottle in Chillicothe holds 7/10 liter of vinegar. A cook pours out 1/2 liter. How much vinegar is left?

  79. 79.A poster on a wall in Akron is 1/3 meter wide and 1/5 meter tall. What is the area of the poster?

  80. 80.A kitchen in Columbus measures 2/3 cup of oats for each of 5 jars. How many cups of oats are used?

  81. 81.A 1/3-yard piece of cord in Cincinnati is cut into 4 pieces of equal length. How long is each piece?

  82. 82.A bakery in Toledo has 6 cups of flour and uses a scoop that holds 1/3 cup. How many scoops fill the 6 cups?

  83. 83.A cook near the Ohio River estimates 4/7 cup of oats plus 5/8 cup of raisins without finding the exact sum. Which estimate is the most reasonable?

  84. 84.A bag of salt at a Sandusky dock weighs 3 kilograms. How many grams is that bag?

  85. 85.A cider press in Hocking Hills fills 2 gallons. How many quarts is that?

  86. 86.A walk along the Ohio River lasts 1 hour 20 minutes. How many minutes is the walk?

  87. 87.A bus leaves Cleveland at 10:40 and reaches Sandusky at 1:15 the same afternoon. How long is the trip?

  88. 88.A Lake Erie ferry leaves the dock at 2:50. The crossing takes 35 minutes. At what time does the ferry arrive?

  89. 89.Students in Marietta sort quadrilaterals. Which statement is true?

  90. 90.Which figure always has two pairs of parallel sides?

  91. 91.A small flag sewn in Dayton is a triangle with one square corner and two smaller angles. What kind of triangle is it?

  92. 92.On a first-quadrant grid of Lake Erie docks, one dock is at (1, 4) and another is at (6, 4). How many units apart are they?

  93. 93.On a trail grid in Hocking Hills, a footbridge is at (3, 2) and a waterfall is at (3, 9). How many units apart are those points?

  94. 94.A tally sheet in Chillicothe shows the expression 2 × (9 − 4) + 3. What is its value?

  95. 95.Evaluate the expression [12 ÷ (2 + 1)] × 4 that appears on a classroom board in Akron.

  96. 96.A form in Columbus records 4 ten-thousands, 8 hundreds, and 5 ones, with zeros in the other places. Which number is that?

  97. 97.A sounding on the Ohio River is 9.007 meters. Which words name that depth?

  98. 98.A towpath section near Akron is 15.5 kilometers long. What is that length rounded to the nearest whole kilometer?

  99. 99.A beetle track across a log in Hocking Hills is 0.058 meter long. How many millimeters is that track?

  100. 100.Three jugs of maple syrup in Chillicothe hold 2.06 liters, 2.6 liters, and 2.106 liters. Which list goes from greatest to least?

  101. 101.A Cincinnati recipe calls for 4/5 cup of a mix, and only 1/2 of that mix is sugar. How much sugar is used?

  102. 102.A rug in a Toledo hallway is 6 feet long and 2 1/2 feet wide. What is the area of the rug?

  103. 103.A market in Dayton has 5 pounds of walnuts to pack into bags that each hold 1/4 pound. How many bags can be filled?

  104. 104.Five friends at a Sandusky picnic share 2 liters of juice equally. How much juice does each friend get?

  105. 105.A crate in Marietta has a volume of 36 cubic units. Its length is 4 units and its width is 3 units. What is the height?

  106. 106.A cube model at a Columbus museum is built in 4 layers. Each layer is a square of 5 unit cubes by 5 unit cubes. What is the volume?

  107. 107.A window banner in Cleveland is 72 inches wide. What is that width in feet?

  108. 108.A table in Akron uses the rule "add 7 to the input." When the input is 5, which ordered pair records the input and the output?