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New Jersey Student Learning Assessments Mathematics Grade 6

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

These questions are original. This is not an official New Jersey Student Learning Assessment, and FreeExam is not affiliated with the New Jersey Department of Education.

  1. 1.On a Saturday morning, a Jersey City ferry carries 248 riders, and the afternoon boat carries 375 riders. How many riders are there altogether?

  2. 2.A clerk at a PATH stop starts the shift with 1,250 paper tickets and sells 486 of them. How many tickets are still in the drawer?

  3. 3.Workers at a blueberry farm line up 15 rows of crates, with 36 crates in every row. How many crates are in the full arrangement?

  4. 4.A trail crew on the Palisades has 864 stone steps to repair and divides them equally among 12 work sections. How many steps does each section get?

  5. 5.The school courtyard is being paved in 28 rows, and each row holds 45 square tiles. How many tiles cover the courtyard?

  6. 6.Volunteers in Jersey City collected 2,040 books and pack them 24 books to a box. How many full boxes do they fill?

  7. 7.One commuter takes a PATH train 18 times each week. How many rides is that over 9 weeks?

  8. 8.A blueberry farm sold 1,375 pints in the first week of July and 986 pints in the second week. How many more pints were sold in the first week?

  9. 9.Three hikers on the Palisades share 3/4 pound of trail mix equally. How much trail mix does each hiker get?

  10. 10.Students painting a wall in the school courtyard finish 2/5 of it before lunch and another 1/5 after lunch. What fraction of the wall is painted?

  11. 11.A cooler in a Jersey City cafe holds 7/8 gallon of juice. After the breakfast rush, 3/8 gallon has been served. How much juice is left?

  12. 12.A baker at a blueberry farm stirs 2/3 cup of flour together with 1/4 cup of oats. How much dry mix is that?

  13. 13.In a basket at a blueberry farm, 5/6 of the berries are ripe, and 1/2 of those ripe berries are large. What fraction of the whole basket is large ripe berries?

  14. 14.Two fabric banners hang in the school courtyard. The longer one is 3 1/2 feet, and the shorter one is 1 3/4 feet. How much longer is the first banner?

  15. 15.Each person in a Palisades hiking group drinks 3/8 liter of water. How much water do 6 hikers drink in all?

  16. 16.A clerk in a Jersey City shop cuts 5/6 yard of ribbon into pieces that are each 1/6 yard long. How many pieces does that length make?

  17. 17.A morning speaker in the school courtyard plans to talk for 3 1/5 minutes and then adds 1 2/5 minutes for questions. How long is the whole talk?

  18. 18.At a PATH stop, a rider pays a $2.75 fare and then spends $1.40 on a snack. What is the combined cost?

  19. 19.On a price card at a blueberry farm, a large flat costs $8.60 and a small box costs $5.25. How much more does the flat cost?

  20. 20.Groundskeepers in the school courtyard join a hose that is 12.5 meters long to a second hose that is 3.75 meters long. What is the total length?

  21. 21.A ranger's log from the Palisades shows 4.8 miles walked on Monday and 2.25 miles walked on Tuesday. How many miles is that for the two days?

  22. 22.A teacher in Jersey City buys 16 pencils at $0.45 each for a courtyard sketching club. What is the total cost of the pencils?

  23. 23.A packing scale at a blueberry farm shows 6.48 kilograms of berries, which are split equally into 4 bags. What is the mass of one bag?

  24. 24.The edge of a PATH platform is 18.6 meters long, and painters have already coated 7.85 meters of it. How much of the edge is still unpainted?

  25. 25.Mulch for the school courtyard costs $3.25 a bag, and the grounds crew needs 8 bags. What is the cost of the mulch?

  26. 26.At dawn on the Palisades the temperature is 4 degrees below zero. By noon it is 7 degrees above zero. How many degrees did the temperature rise?

  27. 27.A garage elevator in Jersey City starts at floor 2, goes down 5 floors, and then goes up 1 floor. Basement floors are numbered with negative integers. On which floor does it stop?

  28. 28.A Jersey City school club has a balance of -12 dollars after buying supplies. A bake sale then adds 30 dollars. What is the new balance?

  29. 29.A number line painted near a PATH stop has a point P that is 6 units to the left of 2. Which number does P name?

  30. 30.A thermometer at a PATH stop shows two morning readings, -8 degrees and -3 degrees. Which reading is colder?

  31. 31.The ledger at a blueberry farm shows a balance of -15 dollars. A customer then pays 9 dollars toward that balance. What is the new balance?

  32. 32.A thermometer in the school courtyard shows -7 degrees. What is the opposite of that reading?

  33. 33.A Palisades trail report lists elevation changes of -40 feet, then +25 feet, then -10 feet. What is the net change in elevation?

  34. 34.Four tide readings from a Jersey City harbor gauge are 3, -5, 0, and -1. Which list puts them in order from least to greatest?

  35. 35.A wind-chill sign on the Palisades shows -12 degrees. What is the absolute value of that reading?

  36. 36.On a track diagram at a PATH stop, a train is at -9 and the station marker is at 0. How far is the train from the station marker?

  37. 37.A Jersey City club compares a balance of -18 dollars with a balance of 11 dollars. Which balance has the greater absolute value?

  38. 38.Temperature changes posted in the school courtyard are -4 degrees and +7 degrees. What is the sum of their absolute values?

  39. 39.A blueberry scale shows an error of -2.5 pounds. The size of the error is the absolute value of that number. What is the size of the error?

  40. 40.A depth marker beside the Palisades names a negative number whose absolute value is 6. Which number is on the marker?

  41. 41.Two dots on a number line in the school courtyard are at -3 and 5. What is the distance between the dots?

  42. 42.A stand at a blueberry farm sells 18 pints of blueberries for $27. What is the unit price of one pint?

  43. 43.A PATH train travels 24 miles in 30 minutes at a steady speed. What is that speed in miles per hour?

  44. 44.Paint for the school courtyard is mixed with 2 cups of blue for every 5 cups of white. How many cups of blue are needed for 10 cups of white?

  45. 45.At a blueberry farm, the ratio of ripe baskets to all baskets is 3 to 8. Which ratio is equivalent to 3 to 8?

  46. 46.In a Jersey City homeroom, 12 students walk to school and 18 ride the bus. What is the ratio of walkers to bus riders in simplest form?

  47. 47.A hiker on the Palisades climbs 360 feet in 8 minutes at a steady pace. What is the unit rate in feet per minute?

  48. 48.A price board at a blueberry farm shows that 4 pints cost $6. Which offer uses the same unit price?

  49. 49.Five granola bars at a PATH stop cost $4.00 altogether. What is the price of one bar?

  50. 50.Feeding instructions at a blueberry farm say to use 3 scoops of grain for every 7 chickens. How many scoops are needed for 21 chickens?

  51. 51.A flower bed in the school courtyard has 15 tulips and 25 daffodils. What is the ratio of tulips to all the flowers in simplest form?

  52. 52.Maya, in a Jersey City bike club, rides 12 miles in 48 minutes at a steady speed. What is her unit rate in miles per hour?

  53. 53.Jam makers at a blueberry farm set aside 40% of 250 pints for cooking. How many pints do they set aside?

  54. 54.A weekend add-on sold at a PATH stop costs $30 before a 15% discount. What is the amount of the discount?

  55. 55.Of 80 students voting on a school courtyard mural, 25% choose the river design. How many students choose that design?

  56. 56.After a storm, 60% of a 45-mile Palisades trail is open to hikers. How many miles are open?

  57. 57.A shop in Jersey City sells a shirt for $24 and charges 8% sales tax. What is the tax on the shirt?

  58. 58.A customer at a blueberry farm leaves a tip equal to 20% of a $16.50 purchase. How much is the tip?

  59. 59.For a concert in the school courtyard, 90% of 200 seats are filled. How many seats are filled?

  60. 60.Of 60 posters stored at a PATH stop, 35% are printed on blue paper. How many posters are blue?

  61. 61.A wooden railing along a Palisades overlook is 9 feet long. How many inches long is the railing?

  62. 62.Syrup stored at a blueberry farm fills 7 quarts. How many pints is that?

  63. 63.A walking path across the school courtyard is 4.5 meters long. How many centimeters long is the path?

  64. 64.A wrapped sandwich from a Jersey City deli weighs 3 pounds. How many ounces does the sandwich weigh?

  65. 65.A diagram of a PATH route marks 2.4 kilometers between two stations. How many meters is that distance?

  66. 66.The school courtyard concert program lists a performance lasting 2.5 hours. How many minutes is that?

  67. 67.Wash water in a tank at a blueberry farm measures 6 gallons. How many quarts of water are in the tank?

  68. 68.A ranger on the Palisades measures a plant stem as 85 millimeters. How many centimeters long is the stem?

  69. 69.A triangular banner in the school courtyard has a base of 12 feet and a height of 7 feet. What is the area of the banner?

  70. 70.A triangular patch of ground on the Palisades has a base of 15 meters and a height of 8 meters. What is the area of the patch?

  71. 71.A garden bed at a blueberry farm is a parallelogram with a base of 9 feet. The height perpendicular to that base is 4 feet. What is the area of the bed?

  72. 72.A garden beside a PATH platform is a trapezoid with parallel sides of 10 feet and 6 feet and a height of 4 feet. What is the area of the garden?

  73. 73.The stage in the school courtyard is made of two rectangles that meet only along an edge and do not overlap. One rectangle is 8 feet by 5 feet, and the other is 3 feet by 4 feet. What is the total area?

  74. 74.A right-triangular sign in Jersey City has legs of 9 inches and 6 inches. What is the area of the sign?

  75. 75.A sign at a blueberry farm is a rectangle 10 centimeters wide and 6 centimeters tall, with a triangle on top. The triangle has a base of 10 centimeters and a height of 4 centimeters. What is the total area of the sign?

  76. 76.A triangular flag at a blueberry farm has an area of 48 square inches and a base of 12 inches. What is the height of the flag?

  77. 77.A rectangular herb bed in the school courtyard is 11 yards long and 3 yards wide. What is the area of the bed?

  78. 78.A wooden crate at a blueberry farm is a right rectangular prism 8 inches long, 5 inches wide, and 4 inches high. What is the volume of the crate?

  79. 79.The lost-and-found box at a PATH stop is a right rectangular prism 10 centimeters by 4 centimeters by 3 centimeters. What is its surface area?

  80. 80.A soil planter in the school courtyard is a right rectangular prism 6 feet long, 2 feet wide, and 1 foot deep. How much soil can it hold?

  81. 81.A gift box packed in Jersey City is a right rectangular prism 5 inches by 5 inches by 2 inches. What is the surface area of the box?

  82. 82.A storage box used by a Palisades crew is a right rectangular prism with a volume of 240 cubic centimeters, a length of 8 centimeters, and a width of 5 centimeters. What is its height?

  83. 83.A cooler carried on a Palisades hike is a right rectangular prism 2 feet long, 1.5 feet wide, and 1 foot high. What is the volume of the cooler?

  84. 84.A display box at a blueberry farm is a right rectangular prism 9 inches by 3 inches by 2 inches. What is its surface area?

  85. 85.Two bins in the school courtyard are right rectangular prisms. One measures 4 feet by 3 feet by 2 feet. The other measures 6 feet by 2 feet by 3 feet. How much greater is the volume of the second bin?

  86. 86.A weekend market at a PATH stop charges a $3 entry fee and $2 for each poster. Which expression gives the total cost, in dollars, of p posters?

  87. 87.The number of benches in the school courtyard is represented by x in the expression 4x + 7. What is the value of the expression when x = 5?

  88. 88.A blueberry farm has n baskets and donates 12 of them to a market. Which expression shows how many baskets remain?

  89. 89.Trail markers used on the Palisades are counted with the expression 6(y - 3). What is the value of the expression when y = 8?

  90. 90.An expression for mural tiles in Jersey City is 9m + 4. What is the coefficient of m?

  91. 91.A trail formula used on the Palisades is 3(2 + k). Which expression is equivalent to it?

  92. 92.A scoreboard in the school courtyard shows the value of 2 cubed plus 5. What is that value?

  93. 93.A blueberry picker earns 8 dollars for each crate and then pays a 6-dollar supply fee. The expression 8c - 6 gives the pay, in dollars, for c crates. What is the pay when c = 4?

  94. 94.Chairs still needed for the school courtyard satisfy the equation x + 9 = 23. What is the value of x?

  95. 95.Pints picked above a quota at a blueberry farm satisfy p - 15 = 28. What is the value of p?

  96. 96.Plant rows along the Palisades satisfy the equation 7n = 56, where n is the number of rows in one section. What is n?

  97. 97.The total minutes between several PATH trains satisfy t ÷ 4 = 12. What is the value of t?

  98. 98.A Jersey City club writes the inequality x + 6 > 20. Which of these numbers is a solution?

  99. 99.Packs of blueberries are modeled by the inequality 3y ≤ 18. What is the solution?

  100. 100.A Palisades group allows at most 20 hikers. If g is the number of additional hikers and 5 people have already signed up, then g + 5 ≤ 20. What is the greatest number of additional hikers?

  101. 101.A Jersey City club shares 36 buttons equally into 6 bags. If b is the number of buttons in one bag, which equation matches the situation?

  102. 102.A map of the school courtyard places the origin at the flagpole. The fountain is at (-3, 4). How do you move from the flagpole to the fountain?

  103. 103.On a coordinate grid of PATH stops, one station is plotted at (5, -2). In which quadrant is that point?

  104. 104.Two poles at a blueberry farm are plotted at (2, 5) and (2, -3). What is the distance between the poles?

  105. 105.Two lookout points on a Palisades map are plotted at (-4, 1) and (3, 1). How long is the horizontal segment that joins them?

  106. 106.A rectangle on the school courtyard plan has vertices at (1, 2), (6, 2), (6, 8), and (1, 8). What is the length of a horizontal side?

  107. 107.On a ferry map of Jersey City, a dock is 4 units to the right of the origin and 3 units down. Which point marks the dock?

  108. 108.A triangle on a blueberry farm grid has vertices at (0, 0), (6, 0), and (6, 8). What is the length of the vertical side?