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Florida Assessment of Student Thinking Mathematics Grade 8

One hundred eight questions on real numbers, slope, systems, the Pythagorean theorem, and volume.

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 community garden is laid out as a square of soil covering 49 square meters. How many meters long is each edge of the garden?

  2. 2.A bus route is a straight line on a city grid. It passes through (1, 2) and (4, 8). What is the slope of the route?

  3. 3.Two cousins' ages add up to 28, and the older cousin is 4 years older than the younger cousin. How old is the older cousin?

  4. 4.A wooden gate brace is a right triangle. The horizontal piece is 6 inches and the vertical piece is 8 inches. How long is the diagonal brace?

  5. 5.A soup can is a cylinder. Its circular base covers 12 square centimeters, and the can is 5 centimeters tall. How much soup fills the can to the top?

  6. 6.A county library catalog lists 3 × 10⁴ books. How many books is that?

  7. 7.Four equal packs of markers and a 7 dollar folder cost 31 dollars altogether. What is the price of one pack?

  8. 8.The point (2, 1) slides 5 units right and 2 units up without turning. Which statement describes the image?

  9. 9.A student says √2 and √49 are the same kind of number. Which comparison is accurate?

  10. 10.A flagpole stands straight up and is graphed as the vertical line x = 6. How should the slope of that graph be described?

  11. 11.A scatterplot compares miles walked in a week with photos taken on those walks. The points rise from left to right. Which statement fits the plot?

  12. 12.A granola mix uses twice as many grams of oats as grams of honey. Oats and honey together weigh 180 grams. How many grams of oats are used?

  13. 13.A ladder leans against a wall, and the wall meets the ground at a right angle. The ladder is 26 feet long, and its foot is 10 feet from the wall. How high on the wall does the ladder reach?

  14. 14.A cylindrical jar and a conical mold are built with the same radius and the same height. The jar holds 30 cups. How many cups does the mold hold?

  15. 15.Programmers store a stadium count of 58,000 seats. Which storage form is scientific notation?

  16. 16.On a balance, 7x − 4 is level with 3x + 12. What is x?

  17. 17.A spinner starts at (3, 0) and turns a quarter circle counterclockwise around the origin. Which point does the spinner reach?

  18. 18.Mia looks at 40 and tries to name √40. Which conclusion is correct?

  19. 19.A bike lane is drawn as a line of slope 4. A second lane is parallel to the first. What is the slope of the second lane?

  20. 20.Equation 2 was made by doubling both sides of equation 1. The system is 2x + y = 9 and 4x + 2y = 18. How many solutions does it have?

  21. 21.A triangle has a 40 degree angle between sides of length 6 and 8. Which statement is correct?

  22. 22.A hardware store sells paint in a cylindrical can. The base has radius 4 centimeters, and the can is 10 centimeters tall. How much paint does a full can hold?

  23. 23.A census lists a city's population as 2.04 × 10⁶. What is that population in standard form?

  24. 24.A number is decreased by 5, and that result is multiplied by 3 to get 21. What was the original number?

  25. 25.A vertical mirror sits on the y-axis. The point (5, −2) is reflected in that mirror. What is the image?

  26. 26.A surveyor needs a whole-number estimate of √28 and does not have a calculator. Which whole number is the nearest estimate?

  27. 27.Every point on a closet shelf has y-coordinate −3, so the shelf is the horizontal line y = −3. What is the slope of the shelf?

  28. 28.Start with 2x + y = 9. Doubling both sides would give 4x + 2y = 18. The second equation is instead 4x + 2y = 12. How many solutions does the system have?

  29. 29.A rectangular photo is 8 inches wide and 15 inches tall. Each corner is a right angle. What is the length of a diagonal?

  30. 30.Leo rolls a paper birthday hat into a cone. The opening has radius 6 inches, and the hat is 5 inches tall. What is the volume of the hat?

  31. 31.A strand of wire is 7.5 × 10⁻³ meters thick. Which length matches that measurement?

  32. 32.A cafe plots the afternoon temperature and the number of cups of hot soup sold. As the temperature goes up, soup sales tend to go down. What kind of association is shown?

  33. 33.One fifth of a rope's length, decreased by 2 meters, is 4 meters. How long is the rope?

  34. 34.A sticker at (−7, 4) is flipped over the horizontal x-axis, the way a pond reflects a point above it. Where does the sticker land?

  35. 35.Two square fabric samples cover 16 square centimeters and 36 square centimeters. What is √16 × √36?

  36. 36.Movers roll a cart up a loading ramp that climbs 3 feet while the cart moves 12 feet forward horizontally. What is the ramp's slope?

  37. 37.Plan A costs y = 3x + 4 dollars after x months. Plan B costs y = 3x + 9 dollars. For how many months are the two costs equal?

  38. 38.Two fences meet at a right angle. One runs 20 meters from the corner and the other runs 21 meters from the corner. How long is a straight rope joining the outer ends of the fences?

  39. 39.A cylindrical water cooler holds 72π cubic centimeters. The radius of its base is 6 centimeters. How tall is the cooler?

  40. 40.Four students write amounts for a science-fair poster. Which expression breaks the rule for scientific notation?

  41. 41.Priya expands 5(x + 1) and sets it equal to 5x + 3. For how many numbers x do the two sides match?

  42. 42.On a map, a camper starts at (1, 6) and slides the tent marker 4 units left and 3 units down without turning it. Where is the marker now?

  43. 43.A board game awards √81 points for a long word and then takes away √25 points as a penalty. What is the score after the penalty?

  44. 44.A taxi charges 4 dollars at the start of a ride plus 2 dollars for each mile. Which equation gives the fare y, in dollars, for x miles?

  45. 45.At a gift shop, 3 posters and 2 maps cost 28 dollars. One poster and 2 maps cost 16 dollars. What is the price of one poster?

  46. 46.A ramp support is a right triangle. The longest side is 41 centimeters, and one of the shorter sides is 40 centimeters. How long is the remaining side?

  47. 47.A cylindrical glass and a conical flask have the same radius, 4 centimeters, and the same height, 3 centimeters. The glass is full of water. How many times can that water fill the flask?

  48. 48.An analyst must report 1,400,000 square meters so the first factor is at least 1 and less than 10. Which form follows that rule?

  49. 49.After expanding, decide how many numbers make 2(x − 4) = 2x − 8 true.

  50. 50.A pinwheel point at (4, −1) spins halfway around the origin, a turn of 180 degrees. Where is the point after that half-turn?

  51. 51.A measuring cup is marked at 5/8. Which of these values can be written as a ratio of two integers?

  52. 52.What are the slope and the y-intercept of the line y = −5x + 2?

  53. 53.A class plots locker numbers and student heights. The points form a shapeless cloud with no upward or downward drift. Which description fits?

  54. 54.A walking path is modeled by y = x + 2, and a bike path by y = −x + 8, on the same map. At which point do the paths cross?

  55. 55.A triangle has sides 6, 7, and 10, and none of its angles is a right angle. Which conclusion is correct?

  56. 56.A grain silo is a cylinder with radius 5 meters and height 12 meters. Which expression is its volume?

  57. 57.A podcast has 4.2 × 10³ downloads. A short video has 9.8 × 10² views. Which count is larger?

  58. 58.Start with 3 and subtract 5 times a number to get 18. What is the number?

  59. 59.A classmate says that turning a point around the origin is just another way to slide it. Which reply is correct?

  60. 60.Sort √4, 5/2, 3, and √10 from smallest to largest. Which order is correct?

  61. 61.A downhill trail sketch starts at the grid point (2, 9) and reaches (6, 1). How much does y change for each 1-unit increase in x?

  62. 62.Which pair of equations describes one and the same line?

  63. 63.From a school, a library is 8 blocks east and 15 blocks north. The streets meet at right angles. What is the straight-line distance between the school and the library?

  64. 64.A cone-shaped pile of salt has a volume of 20 cubic inches. What is the volume of a cylinder with the same radius and the same height?

  65. 65.A printer makes 3 × 10³ pages an hour and runs for 2 × 10² hours. How many pages is that, written in scientific notation?

  66. 66.Four times the sum of a number and 2 equals twice the sum of that number and 10. What is the number?

  67. 67.A paper heart is flipped over a horizontal fold line. It is not slid along the table, and it is not spun. Which transformation is this?

  68. 68.A clerk has stacks of 50, 75, 80, and 196 tiles. Which stack can be arranged in a square grid with the same number of tiles in each row and each column?

  69. 69.A hiking trail on a coordinate map goes through (0, −4) and (2, 6). Which equation gives that trail?

  70. 70.A game booth records two ticket totals, 5x + 2y = 24 and 5x − 2y = 16. Which pair (x, y) fits both totals?

  71. 71.A right triangular sail has legs of 12 feet and 35 feet. What is the length of the longest edge?

  72. 72.A cylinder and a cone have the same base area, 15 square inches, and the same height, 8 inches. What is the volume of the cone?

  73. 73.A balance reads 0.000072 grams for one grain of sand. Which scientific-notation form matches that reading?

  74. 74.A scatterplot of cities shows that cities with more public pools also tend to have more ice cream shops. The points rise together. Which conclusion is supported?

  75. 75.Nora has saved 45 dollars. She adds 8 dollars each week. After how many weeks will she have exactly 101 dollars?

  76. 76.Which move is a translation of the origin?

  77. 77.Which positive number n satisfies n × n = 225?

  78. 78.A candle is 18 centimeters tall and burns 2 centimeters each hour. Which equation gives the height h, in centimeters, after t hours?

  79. 79.Two roads on a town map follow y = 2x − 1 and y = −x + 11. At what point do the roads meet?

  80. 80.A carpenter tests four sets of board lengths. Which set can form a right triangle?

  81. 81.An ice-cream cone is filled to the brim with 48π cubic centimeters of ice cream. The opening has radius 3 centimeters. How tall is the cone?

  82. 82.A lab sample has a mass of 8.2 × 10⁰ grams. How many grams is that?

  83. 83.The length of a rectangle is 19 centimeters. That length is 5 centimeters more than twice the width. What is the width?

  84. 84.The tip of a clock hand is modeled by the point (0, 5). The hand turns 90 degrees clockwise around the origin. Where is the tip after that turn?

  85. 85.A calculator display cuts √2 off at 1.414. Which statement is true?

  86. 86.On a graph of distance, a straight line of slope 5 passes through (2, 1). What is the y-coordinate when x reaches 4?

  87. 87.A number puzzle gives two clues: y = −2x + 10, and x + y = 7. Which pair fits both clues?

  88. 88.A kite string is pulled taut and forms the hypotenuse of a right triangle. The kite is 18 meters above the hand holding the string, and the horizontal distance to the point under the kite is 24 meters. How long is the string?

  89. 89.A cylinder and a cone both have radius 5 centimeters and height 6 centimeters. Which volumes match the two solids?

  90. 90.A warehouse has 9 × 10⁶ nails packed into boxes of 3 × 10³ nails each. How many boxes is that, in scientific notation?

  91. 91.Begin at 6 and subtract twice a missing number. The result is 14. What is the missing number?

  92. 92.Start with 64, take its principal square root, and square that result. What number do you get back?

  93. 93.A car's trip is a straight line on a graph. After 2 hours the car has traveled 30 miles. After 5 hours it has traveled 75 miles. What is the slope, in miles per hour?

  94. 94.Which pair of lines crosses at exactly one point?

  95. 95.A class plots hours after sunrise and the length of a flagpole's shadow. As the morning goes on, the shadow tends to get shorter. Which statement matches the plot?

  96. 96.A delivery drone flies 28 meters east and then 45 meters north. Those two parts of the route meet at a right angle. How far is the drone from its start, in a straight line?

  97. 97.Builders pour a support as a solid cylinder. The radius is 10 centimeters, and the column rises 3 centimeters. How many cubic centimeters of concrete are in the column?

  98. 98.Which expression equals 5.1 × 10⁴ + 3.2 × 10³?

  99. 99.A score is built by taking eight times a player's number, adding 3, and then subtracting twice that same number. The score is 21. What is the player's number?

  100. 100.A board is √30 feet long. Another board is 5.5 feet long. Which board is longer?

  101. 101.Which equation has slope 1/2 and y-intercept −6?

  102. 102.A kayak rental costs 12 dollars plus 5 dollars an hour. A canoe rental costs 22 dollars plus 3 dollars an hour. After how many hours do the two rentals cost the same?

  103. 103.A teacher places a dot for √2 on a classroom number line. Between which two neighboring whole numbers does the dot fall?

  104. 104.From the high edge of a shed roof to a point 18 feet away horizontally, the roof is 6 feet lower. Which slope describes that drop?

  105. 105.Small crates hold 12 eggs and large crates hold 30 eggs. Six crates, using both sizes, hold 126 eggs altogether. How many of those crates are large?

  106. 106.A relay has two legs. The first leg is √16 kilometers and the second leg is √49 kilometers. How long is the whole relay?

  107. 107.Line m is y = 6x − 1. Line n is y = 6x + 8. Which statement is true?

  108. 108.A rain barrel already holds 40 gallons and then gains 65 gallons each hour of a storm. Gallons are graphed against hours. What is the slope?