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Virginia Standards of Learning Mathematics Grade 4

Place value, multi-digit operations, fractions, decimals, area, and angles.

These questions are original. This is not an official Virginia Standards of Learning test, and FreeExam is not affiliated with the Virginia Department of Education.

  1. 1.A season-pass printer in Norfolk produced the number 6,482,917. Which digit is in the hundred-thousands place?

  2. 2.A school van in Salem shows 35,608 on the odometer. What is the value of the digit 5?

  3. 3.From the entrance to the underground bridge, a cavern trail near Luray measures 3,476 feet. What is that length rounded to the nearest hundred feet?

  4. 4.On Saturday a bakery in Roanoke sold 2,486 rolls, and on Sunday it sold 1,739 rolls. How many rolls were sold over the two days?

  5. 5.At an orchard stand in Winchester, each basket holds 47 apples, and the workers fill 8 baskets. How many apples are in those baskets?

  6. 6.A footbridge marker on the James River in Richmond says 5,204 feet remain at the start of a walk. The group has already walked 1,678 feet. How many feet are left?

  7. 7.A student in Hampton writes every whole-number factor of 18. Which list is complete?

  8. 8.A peach pie at a booth in Staunton is cut into 8 equal slices. One visitor eats 3 slices and another eats 2 slices. What fraction of the pie do they eat together?

  9. 9.A raised bed in a Charlottesville schoolyard is a rectangle 9 feet long and 6 feet wide. What is the area of the bed?

  10. 10.An art class in Alexandria trims a rectangular poster that is 12 inches long and 7 inches wide. What is the perimeter of the poster?

  11. 11.The morning trolley in Williamsburg leaves the visitor center at 9:25 a.m. and reaches the palace stop at 10:10 a.m. How many minutes is that ride?

  12. 12.Two streets in downtown Lynchburg meet in a square corner that measures 90 degrees. What kind of angle do the streets form?

  13. 13.Students in Chesapeake counted 264 bottle caps for a recycling display. What is 264 rounded to the nearest ten?

  14. 14.After practice in Hampton, 8 players share 96 orange slices so that each player gets the same number. How many slices does one player get?

  15. 15.A board game in a Richmond classroom scores only multiples of 7. Which of these scores is possible?

  16. 16.A place-value chart in Fairfax shows the number 4,307. Which expression is that number in expanded form?

  17. 17.A craft table in Fredericksburg starts with a ribbon 7/10 of a meter long. A student cuts off 3/10 of a meter. What fraction of a meter is left?

  18. 18.One repaired section of the boardwalk in Virginia Beach is 4 yards long. How many feet long is that section?

  19. 19.A mileage table compares the readings 58,406 and 58,460. Which statement is true?

  20. 20.Six boxes of postcards leave the gift shop at Jamestown, and every box holds 125 cards. How many cards leave the shop?

  21. 21.A teacher in Lynchburg wants the greatest whole number that divides both 12 and 18 with nothing left over. What is that number?

  22. 22.A roadside counter near Danville shows 14,682 vehicles. What is 14,682 rounded to the nearest thousand?

  23. 23.Two same-size pans of corn bread sit on a table in Harrisonburg. One has 5/8 left and the other has 3/8 left. Which comparison is true?

  24. 24.Each side of a square floor tile in a Portsmouth hallway is 8 inches long. What is the perimeter of one tile?

  25. 25.On a trail map of the Blue Ridge, one turn is marked as a 37-degree angle. What kind of angle is that turn?

  26. 26.An Arlington library began the week with 3,000 bookmarks and gave away 1,246 of them. How many bookmarks were left?

  27. 27.Students in Chesapeake test which numbers divide 24 evenly. Which of these numbers is not a factor of 24?

  28. 28.During a food drive in Fairfax, one school collected 1,508 cans and another collected 2,497 cans. How many cans did the two schools collect?

  29. 29.A teacher in Leesburg has 67 stickers to give equally to 5 students. How many stickers does each student get, and how many are left over?

  30. 30.A kitchen in Bristol pours 3 quarts of cider into a punch bowl. How many pints of cider is that?

  31. 31.In the population figure 8,054,219 recorded for a history display in Richmond, what is the value of the digit 8?

  32. 32.Two bells at a school in Staunton ring together at noon. One then rings every 4 minutes and the other every 6 minutes. After how many minutes do they next ring together?

  33. 33.Two overlooks on Skyline Drive are 47,350 feet apart. What is 47,350 rounded to the nearest ten thousand feet?

  34. 34.Painters in Petersburg complete 2/6 of a wall mural before lunch and another 3/6 of that same mural after lunch. What fraction of the mural is finished?

  35. 35.A bag of apples at a market in Waynesboro weighs 4 pounds. How many ounces does the bag weigh?

  36. 36.A garden gate in Suffolk swings open to 128 degrees. What kind of angle does the open gate form?

  37. 37.At a field in Blacksburg the home score is 8,315 and the visiting score is 4,672. How many more points does the home team have?

  38. 38.A factor puzzle in a Roanoke math club asks for two whole numbers with a product of 36 and a sum of 13. Which pair works?

  39. 39.A rain gauge in Manassas collected 2/10 inch on Monday and 7/10 inch on Tuesday. Which day had less rain?

  40. 40.Tulip beds at a nursery in Salem are planted as 23 rows with 15 bulbs in every row. How many bulbs are in the beds?

  41. 41.Boxes in a Newport News supply room each hold 12 pencils. A clerk has 144 pencils to pack. How many of those boxes can be filled?

  42. 42.A sandbox at a park in Hopewell is a rectangle 11 feet long and 4 feet wide. What is the area of the sand surface?

  43. 43.An afternoon train leaves Alexandria at 2:40 p.m. and reaches Fredericksburg at 3:55 p.m. How many minutes is the trip?

  44. 44.A load of bricks delivered to a job site in Suffolk is counted as 6,850. What is 6,850 rounded to the nearest hundred?

  45. 45.Which number has 3 hundred thousands, 0 ten thousands, 5 thousands, 2 hundreds, 0 tens, and 9 ones?

  46. 46.A stack of cups in Virginia Beach can be grouped by 5s or by 8s with none left over. Which of these totals works for both groupings?

  47. 47.A pizza in Colonial Heights is cut into 12 equal slices. After 5 slices are eaten, what fraction of the pizza remains?

  48. 48.A jump rope hanging in a gym in Radford is 2 meters long. How many centimeters long is the rope?

  49. 49.A carpenter in Roanoke checks a square corner with a protractor. How many degrees should that right angle measure?

  50. 50.A Richmond library has 14 shelves with 26 books on each shelf. How many books is that?

  51. 51.A cargo count at a port in Portsmouth lists 6,748 crates on one dock and 2,596 crates on the next dock. How many crates are on the two docks together?

  52. 52.Each of 7 ferry crossings out of Norfolk carries 1,250 passengers. How many passengers travel on those crossings?

  53. 53.Shirt stacks in Pulaski hold 16 red shirts and 24 blue shirts. What is the greatest common factor of 16 and 24?

  54. 54.A rectangular flower bed in Staunton is 15 meters long and 6 meters wide. What is its perimeter?

  55. 55.A hiker on the Appalachian Trail in Virginia drinks 4/8 liter of water before noon and 3/8 liter after noon. How much water does the hiker drink that day?

  56. 56.A warehouse in Chesterfield counted 2,481 boxes in March and 3,612 boxes in April. If each count is rounded to the nearest thousand before adding, what is that estimated sum?

  57. 57.Along a path near Front Royal, scouts place 84 markers so that 6 stations get the same count. How many markers belong at one station?

  58. 58.In the number 74,300 on a shipping label in Norfolk, what is the value of the digit 7?

  59. 59.A driver compares the mileposts 3,409, 3,490, and 3,049. Which list puts them in order from least to greatest?

  60. 60.A band in Winchester lines up in rows of 9 with nobody left over. Which of these totals lets every row have exactly 9 players?

  61. 61.A classroom rug in Virginia Beach is 8 feet long and 5 feet wide. What is the area of the rug?

  62. 62.A farm near Lexington pours 2 gallons of milk into quart jars. How many quart jars does that milk fill?

  63. 63.A student in Bristol measures four angles on a worksheet. Which measure is acute?

  64. 64.An elevation sign near Buena Vista reads 4,050 feet at the ridge and shows a drop of 1,287 feet to the creek. What is the elevation at the creek?

  65. 65.A baker in Bristol can arrange 12 muffins in equal rows in several ways, including a single row of 12. How many different factors does 12 have?

  66. 66.Every tent at Douthat State Park is pinned with 24 stakes, and the camp sets up 16 tents. How many stakes are used?

  67. 67.A pitcher in a Roanoke cafeteria holds 9/12 liter of juice. Students pour out 4/12 liter. What fraction of a liter remains in the pitcher?

  68. 68.The board at a fair in Harrisonburg shows 1,995 tickets sold. What is 1,995 rounded to the nearest ten?

  69. 69.A baker in Winchester has 53 muffins and packs them into boxes that hold 6 muffins each. How many boxes can be filled completely?

  70. 70.A rectangular postcard from Yorktown is 15 centimeters long and 10 centimeters wide. What is its perimeter?

  71. 71.A place-value model in Alexandria shows 50,000 + 800 + 40 + 3. What is that sum in standard form?

  72. 72.Two bus routes in Alexandria leave the station together. One route repeats every 6 minutes and the other every 8 minutes. What is the soonest time, in minutes, when they leave together again?

  73. 73.A parade banner in Fairfax is 72 inches long. How many feet long is the banner?

  74. 74.A protractor laid flat along a ruler in a Danville classroom shows a straight angle. How many degrees is that angle?

  75. 75.On a walking route in Harrisonburg, a student takes 1,245 steps to the library, 876 steps onward to the park, and 1,309 steps back to school. How many steps is the whole route?

  76. 76.A print shop in Lynchburg runs 9 identical packets, and each packet has 248 pages. How many pages are printed?

  77. 77.On a fraction strip in a Leesburg lesson, which comparison is true?

  78. 78.A festival in Virginia Beach counted 382,417 visitors. What is 382,417 rounded to the nearest hundred thousand?

  79. 79.At a market stall in Alexandria, each bag is filled with exactly 12 apples. There are 156 apples. How many full bags can be made?

  80. 80.A square patio in Reston measures 7 meters on each side. What is the area of the patio?

  81. 81.A play in Abingdon begins at 11:15 a.m. and ends at 12:05 p.m. How long does the play last?

  82. 82.Campers in Tazewell want a group size that divides both 20 and 30 evenly. Which number is a common factor of 20 and 30?

  83. 83.An aquarium tank in Newport News held 7,500 gallons. After a cleaning, it held 2,864 gallons less. How many gallons were left in the tank?

  84. 84.A shop in Williamsburg sells pencils in packs of 8. A teacher buys 6 packs and then 5 single pencils. How many pencils does the teacher have?

  85. 85.A science team in Blacksburg uses 1/5 of a paper roll in the morning, 2/5 at noon, and 1/5 in the afternoon. What fraction of the roll is used?

  86. 86.A walking path at First Landing State Park is 5 kilometers long. How many meters long is the path?

  87. 87.A folded bridge diagram in Petersburg shows four labeled angles. Which measure is obtuse?

  88. 88.Chairs for a choir concert in Richmond are arranged in 25 rows of 16. How many chairs are in that arrangement?

  89. 89.Nine classes in Staunton each receive the same number of bookmarks from a stack of 108. How many bookmarks does one class receive?

  90. 90.In the house number 46,281 on a street in Norfolk, which digit has a value of 200?

  91. 91.A fitness walk in Leesburg measured 1,249 meters. What is 1,249 rounded to the nearest hundred meters?

  92. 92.An art project in Hopewell uses one set of 15 tiles and another set of 25 tiles. What is the greatest common factor of 15 and 25?

  93. 93.A square garden bed in Leesburg has a perimeter of 36 feet. What is the length of one side?

  94. 94.A pan of brownies at a bake sale in Fredericksburg is cut into 8 equal pieces. After 3 pieces are sold, what fraction of the pan is left?

  95. 95.A farm in the Shenandoah Valley packs 36 jars into each of 5 crates, and then 18 of those jars are sold. How many jars are left?

  96. 96.A pumpkin at a patch near Warrenton weighs 3 pounds 4 ounces. What is that weight in ounces only?

  97. 97.Two donation bins in Chesapeake hold 3,276 toy cars and 4,815 toy cars. How many toy cars are in the bins together?

  98. 98.Forty-seven students visit Monticello, and each van seats 9 students. How many vans are needed so that every student has a seat?

  99. 99.A club in Culpeper lines up members in rows of 3 or in rows of 4, with nobody left over either way. Which of these totals allows both lineups?

  100. 100.A classroom floor in Hampton is covered by 1-foot square tiles in 9 rows, with 7 tiles in each row. What is the area of the floor?

  101. 101.An open book on a desk in Norfolk forms a 73-degree angle. Which statement is correct?

  102. 102.A game score starts at 6,000 points. After a penalty, the score drops by 2,475 points. What is the new score?

  103. 103.Marigold seedlings in a Petersburg garden fill 13 rows, with 17 seedlings growing in each row. How many seedlings are growing?

  104. 104.A sandwich in Richmond is cut into 4 equal parts. One friend eats 1/4 and the other eats 2/4. What fraction of the sandwich do they eat together?

  105. 105.A table lists 905,500 people in one region of Virginia. What is 905,500 rounded to the nearest hundred thousand?

  106. 106.A class visit to a museum in Richmond lasts 180 minutes. How many hours is that visit?

  107. 107.A rectangular mural in Arlington is 12 feet long and covers 84 square feet. What is the width of the mural?

  108. 108.Rangers at Hungry Mother State Park set 112 pine seedlings into 8 rows of equal length. How many seedlings are in one row?