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New Jersey Student Learning Assessments Mathematics Grade 7

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

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.At dawn the air over Barnegat Bay was −6°F. By noon the temperature had risen 11 degrees. What was the noon temperature?

  2. 2.A student club at Hoboken Terminal owed $24 for a group ferry ticket. Members then paid $9 toward that debt. If money still owed is written as a negative number, what is the balance?

  3. 3.An elevator in a Jersey City tower starts on floor 2. It goes down 7 floors and then up 3 floors. Ground level is floor 0, and floors below ground are negative. On which floor does the elevator stop?

  4. 4.A lab notebook in New Brunswick records the product −8 × −4. What is that product?

  5. 5.On a hike at High Point, the temperature fell 18 degrees across 6 hours, changing by the same amount each hour. What was the change, in degrees, during one hour?

  6. 6.At Sandy Hook, the low-tide mark was −2.5 feet relative to the dock, and the high-tide mark was 1.5 feet. How many feet higher is the high-tide mark than the low-tide mark?

  7. 7.A baker in Princeton changed a recipe by −3/4 cup of sugar and then added 1/2 cup back. What is the net change in cups of sugar?

  8. 8.A trail crew in Worthington State Forest models a correction with the product (2/3) × (−9). What is the value of that product?

  9. 9.Three partners at a shop in Cape May share a balance of −$7.50 equally. What is each partner's share?

  10. 10.A weather board in Atlantic City lists the readings −1.2, −0.8, −3/2, and −1/4. Which reading is the greatest?

  11. 11.A point on a number line painted along the Ocean City boardwalk starts at −5. It moves 8 units right and then 2 units left. Where does the point stop?

  12. 12.One January morning in Newark the temperature was −4°C. That afternoon it was 7°C. How many degrees warmer was the afternoon than the morning?

  13. 13.A rectangular garden in Morristown is (x + 4) feet long and 3 feet wide. Which expression gives the area in square feet?

  14. 14.A warehouse in Paterson writes 8y + 12 for the number of crates in an order. Which expression is equivalent?

  15. 15.For a concert in East Rutherford, the expression 5n − 2 + 3n + 9 counts a stack of tickets. Which expression is the simplified form?

  16. 16.A budget note in Montclair uses the expression −2(m − 5). Which expression is equivalent?

  17. 17.Students in Freehold simplify 4(2k − 1) + 3 for the length of a banner. Which expression is equivalent?

  18. 18.A canoe rental on the Raritan River charges $12 to launch plus $4 for each hour. Which expression gives the cost, in dollars, of h hours?

  19. 19.A fence sketch in Frenchtown uses the expression 6(x + 2) − 2x. Which expression is equivalent?

  20. 20.A science reading in Glen Ridge is modeled by 3a − 5. What is the value of the expression when a = −2?

  21. 21.A game booth in Asbury Park uses the equation 4x + 7 = 31. What is the value of x?

  22. 22.The width, in feet, of a stage at a school in West New York satisfies 3(y − 2) = 15. What is y?

  23. 23.A cooler in a Toms River market uses the equation −2n + 5 = 17. What is n?

  24. 24.A recipe card in Vineland uses the equation x/3 + 4 = 10. What is x?

  25. 25.A beach patrol on Long Beach Island requires 5t − 3 ≥ 22, where t is the number of towers staffed. Which inequality describes every allowed value of t?

  26. 26.Solve −4z < 20. Which inequality describes z?

  27. 27.A kayak rental in Point Pleasant uses the equation 1.5w + 2 = 11, where w is the number of hours. What is w?

  28. 28.A museum shop in Trenton sells pencils for $2 each and adds a $6 box fee. The cost of p pencils is 2p + 6, and the shop collects $20. How many pencils were sold?

  29. 29.A donation drive in Camden can load no more than 40 pounds of books. Crates already on the bus weigh 16 pounds, and each bag weighs 3 pounds. Which inequality gives the number of bags n that can still be loaded?

  30. 30.A dredge crew on the Delaware River near Burlington uses the equation 8 − 2x = 14. What is x?

  31. 31.Which value of k makes the equation 6k − 4 = 20 true for a counter in a Secaucus warehouse?

  32. 32.Solve x + 5 > 1. Which inequality describes x?

  33. 33.A bus on a route through Woodbridge travels 120 miles in 2.5 hours at a steady speed. What is the unit rate in miles per hour?

  34. 34.A stand in Hammonton sells blueberries at a constant price. The table shows 2 pounds for $7, 4 pounds for $14, and 6 pounds for $21. What is the constant of proportionality in dollars per pound?

  35. 35.A graph of hours worked and dollars earned passes through (0, 0) and (4, 36). Which equation represents this proportional relationship?

  36. 36.Which situation does not represent a proportional relationship?

  37. 37.A proportional graph of distance and time for a bike ride in the Pine Barrens passes through (3, 21). What is the constant of proportionality?

  38. 38.A diner in Cherry Hill uses 2 cups of flour for every 3 cups of milk. How many cups of flour are needed for 12 cups of milk?

  39. 39.A printer in a Newark classroom prints 2/3 of a page every 1/4 minute. How many pages does it print per minute?

  40. 40.The cost y, in dollars, of tomatoes at a farm stand in Salem County is proportional to the weight x, in pounds. Five pounds cost $9. Which equation models the cost?

  41. 41.A proportional relationship used on a ferry schedule has constant of proportionality 2.5. What is y when x = 6?

  42. 42.On a proportional graph for a hike along the Palisades, the point (2, 10) is marked. What is the y-value when x = 5?

  43. 43.A sweatshirt at a shop in Red Bank costs $40 before tax. The shop adds 7% sales tax. What is the total cost?

  44. 44.A jacket on the Atlantic City boardwalk is priced at $80. The shop takes 25% off that price. What is the sale price?

  45. 45.The population of a small shore town rose from 2,000 to 2,300. What was the percent increase?

  46. 46.A ferry fare from Liberty State Park dropped from $20 to $17. What was the percent decrease?

  47. 47.A family at a diner in Jersey City leaves a 20% tip on a $45 meal. How much is the tip?

  48. 48.A bookstore in Hightstown buys a novel for $12 and marks the price up by 35%. What is the selling price?

  49. 49.A poster at a gallery in South Orange costs $25. An 8% tax is added. What is the total price?

  50. 50.A bike shop in Ridgewood lists a bike for $200 and offers 15% off. What is the amount of the discount?

  51. 51.A class roster in Edison lists 85 students. What is 40% of 85?

  52. 52.At a farm stand in Belvidere, 18 of 72 ears of corn sold in the first hour. What percent of the ears sold in that hour?

  53. 53.A trail counter in the Pine Barrens recorded 240 hikers one week. The next week the count was 20% higher. How many hikers were recorded the next week?

  54. 54.A $50 shirt at a shop in Westfield is discounted 10%, and then 6% tax is added to the sale price. What is the final cost?

  55. 55.A shore map uses the scale 1 inch = 6 miles. Two towns are 4.5 inches apart on the map. What is the actual distance between the towns?

  56. 56.A model of the Barnegat Lighthouse uses the scale 1 inch = 8 feet. The model is 5.5 inches tall. How tall is the actual lighthouse?

  57. 57.On a map of Essex County, 1 centimeter represents 4 kilometers. Two schools are 18 kilometers apart. How many centimeters apart are the schools on the map?

  58. 58.A floor plan of a classroom in Elizabeth uses the scale 1 centimeter = 50 centimeters. A wall measures 8 centimeters on the plan. What is the actual length of the wall?

  59. 59.A drawing of a canoe used by a club in Tuckerton is 6 inches long. The actual canoe is 180 inches long. What is the scale factor from the drawing to the actual canoe?

  60. 60.A triangular garden plot in Lambertville is drawn with sides 3 centimeters, 4 centimeters, and 5 centimeters. The scale is 1 centimeter = 2 meters. What is the actual perimeter?

  61. 61.A map of Liberty State Park uses the scale 1 inch = 200 yards. A path is 3.25 inches long on the map. What is the actual length of the path?

  62. 62.Two towns along the Garden State Parkway are 15 miles apart. On a map with the scale 1 inch = 5 miles, how far apart are the towns?

  63. 63.A circular fountain in Branch Brook Park has a radius of 10 feet. What is the circumference if pi is 3.14?

  64. 64.The circular stage in a Union City auditorium has a radius of 5 feet. What is the area of the stage if pi is 3.14?

  65. 65.The round table in a Clifton diner measures 8 feet across its center. Using 3.14 for pi, what is the circumference of the table?

  66. 66.A rug in a Summit living room is a circle with diameter 6 feet. What is the area of the rug if pi is 3.14?

  67. 67.A cart wheel on the Wildwood boardwalk has a radius of 2 feet. How far does the cart travel in one full turn of the wheel if pi is 3.14?

  68. 68.Skaters use a circular rink in Madison with a radius of 20 feet. What is the area of the rink when pi is 3.14?

  69. 69.A garden in Haddonfield is a circle whose circumference is 31.4 meters. What is the radius if pi is 3.14?

  70. 70.A pizza at a shop in Hoboken is a circle with radius 8 inches. Using 3.14 for pi, what is the area of the pizza?

  71. 71.The face of a round clock in a Trenton classroom has a radius of 4 inches. What is the area of the face when pi is 3.14?

  72. 72.A pond in Lawrenceville is circular, and its diameter is 10 feet. What is the circumference if pi is 3.14?

  73. 73.A rectangular community garden in Jersey City is 12.5 meters long and 8 meters wide. What is the area of the garden?

  74. 74.A triangular sail on a boat docked in Cape May has a base of 10 feet and a height of 6 feet. What is the area of the sail?

  75. 75.A sign for a farm in Galloway is a rectangle 8 inches by 5 inches with a triangle on top. The triangle has a base of 8 inches and a height of 3 inches. What is the total area of the sign?

  76. 76.A closed box of saltwater taffy from Ocean City is a rectangular prism 10 inches long, 4 inches wide, and 3 inches high. What is the surface area?

  77. 77.A cube-shaped planter in a courtyard in New Brunswick has edges that are 5 feet long. What is the surface area of the planter?

  78. 78.A parallelogram mural on a wall in Guttenberg has a base of 9 meters and a height of 4 meters. What is the area of the mural?

  79. 79.A closed shipping carton in a Kearny warehouse is 6 centimeters by 2 centimeters by 5 centimeters. What is the surface area?

  80. 80.A rectangular patio in Maplewood is 15 feet by 10 feet. A 2-foot by 3-foot rectangular section in one corner is left unpaved. What is the paved area?

  81. 81.A storage bin at a marina in Belmar is a rectangular prism 5 feet long, 3 feet wide, and 2 feet high. What is the volume?

  82. 82.A tent at Island Beach State Park is a triangular prism. Each triangular end has a base of 4 meters and a height of 3 meters, and the tent is 6 meters long. What is the volume?

  83. 83.A cube-shaped cooler used by a crew in Bayonne has edges of 4 inches. What is the volume of the cooler?

  84. 84.A rectangular prism box in a Perth Amboy stockroom has a volume of 120 cubic inches. The base is 6 inches by 5 inches. What is the height?

  85. 85.A fish tank in a classroom in Hackensack is 20 inches long, 10 inches wide, and 12.5 inches high. What is the volume of the tank?

  86. 86.Prism A measures 8 by 2 by 3 units. Prism B is a cube with edges of 4 units. How many more cubic units are in prism B than in prism A?

  87. 87.A shipping carton leaving a warehouse in Edison is 2.5 feet long, 2 feet wide, and 1.5 feet high. What is the volume?

  88. 88.Sand for a court in Ventnor is stored in a rectangular bin 7 feet long, 3 feet wide, and 2 feet high. How many cubic feet of sand fill the bin?

  89. 89.A cube of cheddar at a shop in Flemington is sliced by a plane parallel to one face. What is the shape of the slice?

  90. 90.A juice box is a rectangular prism that is not a cube. It is sliced parallel to its top, and that top is a rectangle that is not a square. What is the shape of the slice?

  91. 91.A soup can from a pantry in Nutley is a cylinder. It is sliced by a plane parallel to its circular bases. What is the shape of the slice?

  92. 92.A cylinder of cookie dough in a Manasquan bakery is sliced by a plane perpendicular to the bases and through the center. What is the shape of the slice?

  93. 93.A cone-shaped pile of sand at a beach in Ship Bottom is sliced by a plane parallel to its circular base. What is the shape of the slice?

  94. 94.A triangular prism used as a doorstop in a library in Ridgewood is sliced parallel to its triangular bases. What is the shape of the slice?

  95. 95.A bag at a school fair in Teaneck holds 3 red tickets, 5 blue tickets, and 2 green tickets. One ticket is drawn at random. What is the probability that it is blue?

  96. 96.A fair number cube with faces numbered 1 through 6 is rolled at a table in Fort Lee. What is the probability of rolling a number greater than 4?

  97. 97.A spinner at a carnival in Seaside Heights has 8 equal sections numbered 1 through 8. What is the probability that the spinner lands on an even number?

  98. 98.A coin has heads and tails, and a number cube has faces 1 through 6. Every pair is equally likely, so the sample space has 12 outcomes. What is the probability of heads and a 6?

  99. 99.Spinner A has two equal sections, red and gold. Spinner B has three equal sections, 1, 2, and 3. The 6 outcomes in the sample space are equally likely. What is the probability of gold and 2?

  100. 100.Cards labeled A, B, and C are in a jar in a Somerville classroom. A student draws a card, replaces it, and draws again. The 9 outcomes AA, AB, AC, BA, BB, BC, CA, CB, and CC are equally likely. What is the probability of drawing A and then B?

  101. 101.A drawer in a Weehawken apartment has 4 socks: 2 striped and 2 plain. Two socks are drawn at random without replacement, and the 12 ordered outcomes are equally likely. What is the probability that both socks are striped?

  102. 102.A bag in a Millville classroom contains only white marbles and black marbles. One marble is drawn at random. What is the probability of drawing a purple marble?

  103. 103.A spinner used at a fair in Brigantine is painted entirely blue. What is the probability that the spinner lands on blue?

  104. 104.The forecast for a Saturday soccer game in Piscataway says the probability of rain is 0.3. What is the probability that it does not rain?

  105. 105.Two fair coins are flipped at a table in Hopewell. The sample space is HH, HT, TH, and TT, and each outcome is equally likely. What is the probability of exactly one head?

  106. 106.A lunch counter in a diner in Harrison offers 2 soups and 3 sandwiches. A student chooses one soup and one sandwich at random. How many outcomes are in the sample space?

  107. 107.A lunch counter offers tomato soup, noodle soup, a tuna sandwich, a cheese sandwich, and a salad sandwich. A student picks one soup and one sandwich at random, and each of the 6 pairs is equally likely. What is the probability of tomato soup with the tuna sandwich?

  108. 108.Ten cards numbered 1 through 10 are face down on a desk in Paramus. One card is drawn at random. What is the probability that the number is less than 4?