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Florida Assessment of Student Thinking Mathematics Grade 7

One hundred eight questions on proportions, rational numbers, equations, circles, and probability.

These questions are original. This is not an official Florida Assessment of Student Thinking test, and FreeExam is not affiliated with the Florida Department of Education.

  1. 1.A juice stand charges the same amount for every cup. Six cups cost $9. What is the constant of proportionality in dollars per cup?

  2. 2.A winter coat priced at $50 is marked down by 20%. What is the sale price?

  3. 3.At dawn the air was −6.4°C. By noon it had risen 2.9°C. What was the temperature at noon?

  4. 4.A number is tripled, and then 5 is added. The result is 26. What was the original number?

  5. 5.Which inequality is the solution of −2x > 8?

  6. 6.A floor plan is drawn at a scale of 1 to 20. One wall measures 3 centimeters on the plan. What is the actual length of that wall?

  7. 7.A circular rug has a radius of 5 feet. Using 3.14 for pi, what is the distance around the rug?

  8. 8.A round garden bed has a radius of 5 meters. Using 3.14 for pi, how many square meters of soil does the bed cover?

  9. 9.A bag holds 8 blue marbles and nothing else. What is the probability of drawing a red marble?

  10. 10.At a corner store, a snack is marked $8. The clerk adds sales tax equal to 6% of that price. How much tax is added?

  11. 11.Two angles are complementary. One measures 28°. What is the measure of the other angle?

  12. 12.A tour group bikes at a steady speed and covers 36 miles in 4 hours. At that same rate, how many miles will the group ride in 7 hours?

  13. 13.Last year a museum ticket cost $20. This year the museum raises that price by 15%. What does a ticket cost now?

  14. 14.A lab sheet asks for the product −4 × −3. What is that product?

  15. 15.Solve 4x − 6 = 18.

  16. 16.Solve 2x + 3 < 15.

  17. 17.On a park map, 1 inch stands for 8 feet. A walking path is 5 inches long on the map. How long is the real path?

  18. 18.The rim of a fountain is a circle with radius 3 meters. Take pi as 3.14 and find how many meters of stone form the rim.

  19. 19.A splash pad is a circle with radius 4 feet. Using 3.14 for pi, what is the paved area?

  20. 20.A spinner is divided into 8 equal sections, and 3 of them are red. What is the probability of landing on red?

  21. 21.A coupon takes 15% off a $40 lamp. How many dollars does that coupon subtract from the price?

  22. 22.Two lines intersect, and one of the angles formed measures 73°. What is the measure of the angle vertical to it?

  23. 23.A soup recipe uses 2 cups of broth for every 5 bowls. How many cups of broth are needed for 15 bowls?

  24. 24.A seedling measured 40 centimeters. After a month it was 25% taller. How tall was it then?

  25. 25.Simplify the quotient −8 ÷ −2.

  26. 26.Find the number x that makes x/5 + 2 = 6 true.

  27. 27.Solve −3x + 6 < 18.

  28. 28.A model car is built at a scale of 1 to 12. The model is 4 inches long. How long is the real car, in inches?

  29. 29.A running path is a circle with diameter 8 meters. If pi is taken to be 3.14, how long is one lap?

  30. 30.Tiles cover a circular patio of radius 8 meters. With pi taken as 3.14, how many square meters of tile are needed?

  31. 31.A fair number cube has faces numbered 1 through 6. What is the probability of rolling a 2?

  32. 32.Jordan buys a book listed at $25. The register adds a tax of 7% of the list price. What is the tax in dollars?

  33. 33.A right angle is split into two smaller angles. One of them is 47°. What is the measure of the other?

  34. 34.Hours and pay stay in the same ratio: 2 hours earn $18, and 5 hours earn $45. What is the constant of proportionality in dollars per hour?

  35. 35.A short video had 80 views. By evening the view count was 10% higher. How many views was that?

  36. 36.A submarine was at −7 meters and then went down another 5 meters. What is its position now?

  37. 37.A canoe rental is $12 plus $4 for each hour. The total bill was $32. For how many hours was the canoe rented?

  38. 38.Solve 4x − 1 > 11.

  39. 39.In a garden sketch, 1 centimeter represents 4 meters. A path is drawn as 7 centimeters. What is the actual length of the path?

  40. 40.The tip of a clock hand moves in a circle of radius 6 inches. With pi equal to 3.14, how far does the tip travel in one full turn?

  41. 41.A circular stage has a radius of 11 feet. Using 3.14 for pi, what is the area of the stage floor?

  42. 42.A jar contains 4 green tiles and 6 yellow tiles. If one tile is drawn at random, what is the probability it is yellow?

  43. 43.Dinner for one is $30, and the restaurant tax is 5% of the meal price. What does the customer pay in all?

  44. 44.When two streets cross, one angle at the intersection is 118°. What is the measure of the vertical angle across from it?

  45. 45.Three gallons of paint cover 84 square feet of wall. At that same rate, how many gallons cover 140 square feet?

  46. 46.During a sale, a $60 backpack is reduced by 15%. What is the reduced price?

  47. 47.The expression 6 − (−4) appears on a homework check. What is its value?

  48. 48.Which value of x satisfies 2(x − 3) = 14?

  49. 49.Solve −5x − 1 ≥ 9.

  50. 50.A bedroom is 30 feet wide. On the plan, 1 inch stands for 10 feet. How many inches wide is the bedroom on the plan?

  51. 51.A round table has a radius of 7 inches. A ribbon goes once around the edge. Using 3.14 for pi, how long is the ribbon?

  52. 52.Skaters use a circular ice area of radius 15 meters. Using 3.14 for pi, how many square meters of ice is that?

  53. 53.All 12 cards in a small deck are hearts. What is the probability of drawing a heart?

  54. 54.A hat tag shows $18. The cashier takes off 10% of that tag price. What is the amount due for the hat?

  55. 55.A rental bike has no starting fee and costs $2 for each mile. Six miles cost $12. Which equation gives the cost c, in dollars, for m miles?

  56. 56.A lake's water was 20 feet deep. After a dry week the depth was 5% lower. What was the new depth?

  57. 57.Each of 2 weeks shows a change of −9 dollars on a ledger. What is −9 × 2?

  58. 58.What is the solution of 5x + 4 = 4?

  59. 59.Solve x/2 + 5 ≤ 9.

  60. 60.A blueprint uses 1 centimeter for every 25 centimeters of a room. A window is 2 centimeters on the blueprint. What is the actual width?

  61. 61.A circular pond has a diameter of 20 feet. A fence will follow the waterline. Using 3.14 for pi, how many feet of fence are needed?

  62. 62.A round mirror has a radius of 12 inches. Using 3.14 for pi, what is the area of the glass?

  63. 63.A bag contains 5 red marbles, 3 blue marbles, and 2 white marbles. What is the probability of drawing a blue marble?

  64. 64.A poster priced at $12 is taxed at 8% of its price. What is the tax?

  65. 65.A proportional relationship passes through the point (4, 10). What is the constant of proportionality?

  66. 66.A chess club had 200 members in September. By January membership was up 12%. How many members was that?

  67. 67.A debt of $15 is shared equally by 3 people. The share for each person is −15 ÷ 3. What is that quotient?

  68. 68.The length of a rectangle is 6 centimeters more than twice the width. The length is 20 centimeters. What is the width?

  69. 69.A score is 4 times the number of correct answers, plus 8. The score must be greater than 80. Which inequality gives the number of correct answers q?

  70. 70.On a road map, 1 centimeter represents 6 kilometers. Two towns are 4.5 centimeters apart on the map. How far apart are the towns?

  71. 71.A medal is a circle of radius 1 centimeter. Using 3.14 for pi, what is the length of its outer edge?

  72. 72.The center circle on a sports field has a radius of 20 feet. Using 3.14 for pi, what is the area inside that circle?

  73. 73.The probability of rain tomorrow is 0.3. What is the probability that it does not rain?

  74. 74.During a weekend sale, 5% of a $200 bicycle's price is deducted. How many dollars are deducted?

  75. 75.Water flows into an empty tank at a constant rate. After 2 minutes the tank holds 18 liters. How many liters will it hold after 5 minutes?

  76. 76.A shared folder held 80 megabytes. After new photos were added, the folder was 15% larger. How many megabytes did it hold then?

  77. 77.Find −1/2 + (−1/4).

  78. 78.Find x in the equation −3x + 7 = 1.

  79. 79.Solve 3x + 9 ≥ 0.

  80. 80.A drawing of a flag uses the scale 1 to 5. The drawing is 9 centimeters tall. What is the actual height of the flag?

  81. 81.An artist paints a circular border of radius 9 centimeters on a plaque. Using 3.14 for pi, how long is that border?

  82. 82.A round coaster has a radius of 13 centimeters. Using 3.14 for pi, what is the area of its top?

  83. 83.Cards numbered 1 through 10 are placed in a box, and one card is drawn. What is the probability that the number is greater than 8?

  84. 84.An online game costs $45, and checkout adds tax equal to 4% of that cost. What is the final charge?

  85. 85.On a graph of a proportional relationship, the y-value is always 4 times the x-value. What is the constant of proportionality?

  86. 86.A candle started at 25 centimeters. Burning removed 40% of that length. How many centimeters were left?

  87. 87.Find the product −0.6 × −0.5.

  88. 88.Which value of x makes x/3 − 4 = 2 true?

  89. 89.Solve 10 < 2x − 4.

  90. 90.A spinner has 5 equal sections labeled A, B, C, D, and E. What is the probability of not landing on C?

  91. 91.Solve the proportion 3/8 = n/24.

  92. 92.Nia's hourly pay was $16. After a review it increased by 25%. What is her new hourly pay?

  93. 93.Find 3/5 − 4/5.

  94. 94.The equation 8n − 5 = 27 relates a bonus count n to a point total. What is n?

  95. 95.Solve −x + 4 > 9.

  96. 96.A box holds 2 winning tickets and 6 losing tickets. If one ticket is drawn at random, what is the probability that it wins?

  97. 97.A bracelet pattern uses 7 beads for every 2 inches of cord. How many beads are used for 10 inches of cord?

  98. 98.A shop lowers an $80 shirt by 25%. What is the price after the reduction?

  99. 99.A diver is at −12.5 meters and descends another 3.5 meters. What is the new depth?

  100. 100.Solve 6 + 2x = 22 for x.

  101. 101.A printer produces 15 pages in 3 minutes and 40 pages in 8 minutes, at a constant rate. What is the constant of proportionality in pages per minute?

  102. 102.A 90-meter rope has 30% of its length cut away. How long is the piece that remains?

  103. 103.A science note divides a thermometer change of −2.4 by 0.6. What is −2.4 ÷ 0.6?

  104. 104.A plumber charges $30 to come to the house and $15 for each hour of work. A bill of $75 includes the visit and the hours. How many hours of work is that?

  105. 105.In a proportional relationship, y = 15 when x = 6. What is y when x = 10?

  106. 106.What is (−3/4) × (2/5)?

  107. 107.In the proportional relationship y = 0.5x, what is y when x = 12?

  108. 108.A bank balance was −$18. A deposit of $7 is recorded. What is the new balance?