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North Carolina End-of-Grade Tests Mathematics Grade 7

One hundred eight questions on proportions, integers, inequalities, and circles.

These questions are original. This is not an official North Carolina End-of-Grade test, and FreeExam is not affiliated with the North Carolina Department of Public Instruction.

  1. 1.A seafood house in Wanchese keeps a brine tank on the safe side of the rule -3x > 9, where x is the control setting. Which inequality is the complete solution for x?

  2. 2.Three matching garden rows in Chatham County each have length x - 1 yards, and their combined length is 15 yards, so 3(x - 1) = 15. What is x?

  3. 3.The Raleigh Rose Garden has a circular flower bed with radius 5 feet. What is the area of the bed if pi is 3.14?

  4. 4.A jacket on a rack in Southport is priced at $60 and then marked up 20 percent. What is the selling price?

  5. 5.A Calabash kitchen uses 3 cups of cornmeal to make 24 hushpuppies. At that same rate, how many cups of cornmeal make 40 hushpuppies?

  6. 6.On a drawing of a barn in Yadkin County, 1 centimeter represents 4 meters. A wall is 3 centimeters on the drawing. What is the actual length of that wall?

  7. 7.The Mount Mitchell summit was -8 degrees Celsius at sunrise and 5 degrees Celsius at noon. By how many degrees did the temperature rise?

  8. 8.Two angles form a straight line along a fence corner in Hillsborough. One angle measures 35 degrees. What is the measure of the other angle?

  9. 9.A jar in a Carrboro classroom holds 8 counters, and 2 of them are red. If one counter is drawn at random, what is the probability that it is red?

  10. 10.Forecasters on the Cape Hatteras weather desk write a wind model as -4w ≤ 20. Which inequality is the complete solution for w?

  11. 11.A weekday rental package at Jordan Lake follows 2x + 9 = 25, where x is the number of hours. What is x?

  12. 12.Pack Square in Asheville is getting a circular fountain with radius 5 meters. The stone edging goes all the way around. How many meters of edging are needed if pi is 3.14?

  13. 13.A hat in a Pinehurst shop is tagged $48. During a sale the shop takes 25 percent off that price. What is the sale price?

  14. 14.A delivery van travels 210 miles across the North Carolina coastal plain at a steady speed and takes 3 hours. What is its speed in miles per hour?

  15. 15.An Apex classroom is 28 feet long. On the floor plan, 1 inch stands for 4 feet. How many inches long is the classroom on the plan?

  16. 16.A Nash County potato cellar reads 7 degrees Fahrenheit below zero, while the air outside is 11 degrees Fahrenheit above zero. How many degrees warmer is the outside air than the cellar?

  17. 17.A ramp brace in Tryon forms a right angle that is split into two adjacent parts. One part measures 28 degrees. What is the other part?

  18. 18.At a North Carolina State Fair booth, a spinner is divided into 5 equal sections and only 1 section shows a star. What is the probability the spinner stops on the star?

  19. 19.A gauge on the French Broad River near Asheville is in range only when -6g > 18. Which inequality shows every value of g that works?

  20. 20.A stair count on a classroom model of the Cape Lookout Lighthouse fits the equation x/5 = 7. What is x?

  21. 21.Farmers outside Clinton pour a circular silo pad that reaches 10 feet from the center to the edge. How many square feet is that pad when pi is taken as 3.14?

  22. 22.A visitor in Asheville pays for a $25 mug, and the receipt adds an 8 percent tax. What is the total paid, including tax?

  23. 23.Two quarts of paint cover 70 square feet of a shed in Lumberton. At the same rate, how many quarts cover 245 square feet?

  24. 24.A Greensboro park map uses the scale 1 centimeter equals 15 meters. A walking path measures 8 centimeters on the map. How long is the real path?

  25. 25.A Goldsboro scout troop account showed -$24 before a $40 deposit. What was the balance afterward?

  26. 26.A gate hinge in New Bern opens flat, so two adjacent angles make a straight line. One measures 123 degrees. What does the other measure?

  27. 27.A game bag in Elizabeth City is filled with blue tiles only. What is the probability of drawing a red tile from that bag?

  28. 28.Load planners at a Morehead City pier require -5p < -15. Which inequality is the complete solution for p?

  29. 29.A bakery in Hamlet plans biscuit trays with 4(n + 3) = 32, where n is the number of extra trays. What is n?

  30. 30.One lap around a Cary roundabout follows a circle of radius 10 meters. What is that lap length when pi is 3.14?

  31. 31.A credit union account in Raleigh holds $400 and earns 5 percent simple interest in one year. How many dollars of interest are earned?

  32. 32.A Shelby cookbook calls for 5 cups of water for every 2 cups of grits. How many cups of water are needed for 6 cups of grits?

  33. 33.A class models a short harbor light on the North Carolina coast at a scale of 1 to 40. The model is 5 inches tall. What is the full tower's height in inches?

  34. 34.During a training session in a Wilmington pool, a diver is at 15 feet below the surface and then rises 6 feet. Using a negative number for below the surface, what is the diver's new position?

  35. 35.Two walking paths cross in a Salisbury park and form vertical angles. One of the angles measures 64 degrees. What is the measure of the angle directly opposite it?

  36. 36.All 9 cards in a stack at the Smithfield library are green. What is the probability of drawing a green card?

  37. 37.On a number-line task in a Chapel Hill classroom, students solve -x ≥ 8. Which inequality is the complete solution?

  38. 38.During a Winston-Salem quiz bowl, a team's bonus score fits 7x - 3 = 32, where x is the number of bonus sets. What is x?

  39. 39.Instrument makers in Durham cut a circular drumhead of radius 6 inches and use 3.14 for pi. Which area is correct?

  40. 40.On a Greenville field trip, 18 of the 72 students rode in the lead bus. What percent of the students rode in that bus?

  41. 41.A Durham print co-op charges $10 for 4 posters, and the price is proportional to the number of posters. What is the price of 10 posters?

  42. 42.A garden plan in Southern Pines uses 1 centimeter for 3 meters. The drawing of a rectangular plot is 4 centimeters by 5 centimeters. What is the actual area of the plot?

  43. 43.For 6 straight days, a bait shop on Hatteras Island lost $8 each day. If each day's loss is recorded as -8 dollars, what is the total change?

  44. 44.A straight edge along a Swansboro dock is divided into three angles measuring 48 degrees, 67 degrees, and an unknown angle. What is the unknown measure?

  45. 45.A forecast for Morehead City puts the probability of rain at 3/10. What is the probability that it does not rain?

  46. 46.A temperature offset at the old mill in Saxapahaw is modeled by -2m + 4 < 12. Which inequality shows every value of m that works?

  47. 47.Two lemonade stands at the Lexington Barbecue Festival have equal earnings when 5x + 4 = 2x + 19. What is x?

  48. 48.At Merchants Millpond, a circular study pond has a radius of 6 meters. What is the distance around the pond when pi is 3.14?

  49. 49.A Kinston farm stand started the morning with 85 jars of jam and sold 40 percent of them. How many jars were sold?

  50. 50.On the American Tobacco Trail, a cyclist rides 16 miles in 48 minutes at a steady pace. What is that speed in miles per hour?

  51. 51.Two similar triangular flags for a regatta in Oriental are 6 centimeters and 15 centimeters tall. The shorter flag has a base of 4 centimeters. What is the corresponding base of the taller flag?

  52. 52.Hikers near Grandfather Mountain descend 63 meters in all, written as -63 meters, spread evenly over 7 switchbacks. What is the elevation change of one switchback?

  53. 53.Carpenters in Valdese split a right angle in a roof truss into a 19-degree angle and a second angle. What is the second angle?

  54. 54.A Hendersonville toy shop box holds 4 green marbles, 5 white marbles, and 3 black marbles. If one marble is drawn at random, what is the probability it is green?

  55. 55.A shop ledger in Edenton stays within a rule written -8b ≥ -32. Which inequality is the complete solution for b?

  56. 56.A depth change recorded at Lake James satisfies -4x = 28. What is x?

  57. 57.A model of the Bodie Island Lighthouse lens is a circle with radius 4 centimeters. Compute its area with pi equal to 3.14.

  58. 58.After a $35 seafood platter in Beaufort, a diner leaves a 20 percent tip. How many dollars is the tip?

  59. 59.In Pittsboro, a student who is 5 feet tall casts a 3-foot shadow. At the same moment, a flagpole casts an 18-foot shadow. How tall is the flagpole?

  60. 60.A Research Triangle lab multiplies a pressure change of -12 units by a correction of -4. What product enters the report?

  61. 61.Two streets cross in Lexington. One angle at the intersection measures 151 degrees. What is the measure of an angle next to it along a straight street edge?

  62. 62.A student in Albemarle tosses a bottle cap 30 times, and it lands logo-up on 12 of those tosses. What is the experimental probability of logo-up?

  63. 63.A trail crew near Linville marks acceptable grades with 6 ≥ -3t. Which inequality is equivalent for t?

  64. 64.An exhibit tally beside the Battleship North Carolina in Wilmington satisfies 3x + 6 = -9. What is x?

  65. 65.A potter's wheel in Seagrove has a radius of 4 inches. What is the circumference of the wheel if pi is 3.14?

  66. 66.In a class problem about the Cedar Island ferry, a ticket price rises from $15 to $18. What is the percent increase?

  67. 67.While planning a visit to the North Carolina Museum of Natural Sciences, a teacher uses a rate of $56 for 8 passes. What would 3 passes cost at that same rate?

  68. 68.Two depth readings at Oregon Inlet are compared with the quotient -45 ÷ -9. What is that quotient?

  69. 69.A surveyor in Manteo has a 46-degree angle and needs another angle so the two together form a right angle. What measure should be added?

  70. 70.In Rocky Mount, a student flips a fair coin and spins a fair spinner with 4 equal sections labeled A, B, C, and D. What is the probability of heads and section B together?

  71. 71.A numbering puzzle on lockers at a Durham school uses -7k < 42. Which inequality is the complete solution for k?

  72. 72.A trail split marked in Brevard follows x/2 - 4 = 3. What is x?

  73. 73.Charlotte sets up a round outdoor stage. Measuring from the center to the rim gives 9 feet. Using 3.14 as pi, what is the stage area?

  74. 74.A Boone bike shop drops a helmet's price from $50 to $35. What is the percent decrease?

  75. 75.On a classroom map of the Blue Ridge Parkway, 2 inches represent 50 miles. How many miles do 5 inches represent on that map?

  76. 76.A thermometer in Boone shows -17 degrees Fahrenheit. What is the absolute value of that reading?

  77. 77.A delivery cutoff in Greensboro is written 1 - 4x > 17. Which inequality is the complete solution for x?

  78. 78.A print shop in Hillsborough uses 2(3x - 1) = 16 for a paper order. What is x?

  79. 79.A crop sprinkler in Nash County waters a circle whose circumference is 18.84 meters. Using 3.14 for pi, what is the radius?

  80. 80.In Carrboro, 12 members are 30 percent of a club. How many members does the club have?

  81. 81.Four volunteers in Asheboro plant 48 seedlings in one work session, all at the same rate. How many seedlings would 10 volunteers plant in that same session?

  82. 82.Four dawn temperatures, in degrees Fahrenheit, were Asheville -1, Charlotte 6, Boone -8, and Raleigh 3. Which list orders them from least to greatest?

  83. 83.A crane limit on the Wilmington waterfront is written -3(x + 1) ≤ 9. Which inequality shows every solution for x?

  84. 84.Supply crates coming off the Ocracoke ferry are counted with -2(x - 4) = 10. What is x?

  85. 85.In Salisbury, a circular walkway has an outer radius of 5 meters and surrounds a round garden of radius 3 meters. Using 3.14 for pi, what is the area of the walkway alone?

  86. 86.A Chapel Hill bookseller pays $25 for a book and marks the selling price up 40 percent. What is the selling price?

  87. 87.A water tank in Fayetteville fills at a constant 9 gallons each minute. How many gallons are added in 12 minutes?

  88. 88.A Morrisville student models a game score with 9 positive counters and 9 negative counters. What is the combined value?

  89. 89.In a Sylva science lab, a result must satisfy x/(-2) > 5. Which inequality is the complete solution?

  90. 90.A nursery in Sanford mixes soil with 0.5x + 1.5 = 5.5, where x is the number of bags. What is x?

  91. 91.A round table in Old Salem has a diameter of 14 inches. Using 3.14 for pi, what is the circumference of the table?

  92. 92.An agent in Huntersville earns 3 percent of a $200,000 home sale as commission. What is the commission?

  93. 93.Canoe rental time on Fontana Lake is proportional to the cost. A 3-hour rental costs $18. What does a 7-hour rental cost at that rate?

  94. 94.A boat out of Wanchese records tide changes of -3 feet, then +10 feet, then -4 feet. What is the net change?

  95. 95.A Cary school club has 6 North Carolina State Fair tickets and wants at least 20 altogether. If x is the number of additional tickets, which inequality shows every possible x?

  96. 96.An outfitter near the Great Smoky Mountains sells a $90 tent and adds 6 percent sales tax. How many dollars of tax are charged?

  97. 97.A Waynesville shop mixes 2 cups of peanuts with 5 cups of raisins. Which larger batch keeps that same ratio?

  98. 98.A tide gauge at Beaufort reads 2, and the calibration step subtracts -6. What result does 2 - (-6) give?

  99. 99.A shuttle model in Chapel Hill says the number of seat rows n must satisfy 5n < 45. Which inequality is the complete solution?

  100. 100.A cooler priced at $50 in Nags Head is discounted 20 percent. A 10 percent sales tax is then charged on the discounted price. What is the final cost?

  101. 101.A Wilson market sells sweet potatoes at $4 for 5 pounds or $9 for 12 pounds. Which offer has the lower price per pound?

  102. 102.In a Jacksonville classroom, a point on a number line sits at -11 and then slides 4 units to the left. Where does it stop?

  103. 103.A homework card about the Mountains-to-Sea State Trail says a section length m, in miles, satisfies m/4 > 3. Which inequality is the complete solution?

  104. 104.A dock in Bath shows a water level of -6 feet, and a nearby channel shows -13 feet. Which level is higher?

  105. 105.Bakers at a Lexington diner need the number of batches c to satisfy 2c + 5 ≤ 19. Which inequality shows every possible c?

  106. 106.A baker in Winston-Salem first removes 2.5 cups of flour, recorded as -2.5, and then adds 4 cups. What is the net change in cups?

  107. 107.Hours h logged at the Southport dock must satisfy h - 8 < 5. Which inequality is the complete solution?

  108. 108.Pecan boxes p from a Tarboro orchard are accepted when 3p - 4 ≥ 11. Which inequality is the complete solution?