FreeExam

STAAR Math Grade 6

One hundred eight questions on ratios, rates, percents, integers, expressions, area, and data.

These questions are original. This is not an official STAAR test, and FreeExam is not affiliated with the Texas Education Agency.

  1. 1.A mix uses 3 cups of oats for every 2 cups of raisins. How many cups of oats are needed for 8 cups of raisins?

  2. 2.Red and blue paint are mixed in the ratio 5 to 3. There are 15 cups of red paint. How many cups of blue paint are needed?

  3. 3.Which ratio is equivalent to 4:6?

  4. 4.A club has 12 boys and 18 girls. What is the ratio of boys to all students, in simplest form?

  5. 5.A recipe uses 2 eggs to make 6 muffins. How many eggs are needed for 15 muffins?

  6. 6.On a map, 1 centimeter stands for 4 kilometers. A road measures 7 centimeters on the map. How long is the road?

  7. 7.The pairs (3, 5), (6, 10), and (9, ?) show the same ratio. What is the missing number?

  8. 8.Which fraction equals the ratio 8 to 12?

  9. 9.A bag has 4 green marbles and 12 yellow marbles. What is the ratio of green to yellow in simplest form?

  10. 10.5 notebooks cost $15. At the same price, how many notebooks can be bought for $24?

  11. 11.The sides of a triangle are in the ratio 3:4:5. The shortest side is 9 centimeters. How long is the longest side?

  12. 12.Punch is mixed as 2 parts juice to 5 parts water. How many cups of water go with 14 cups of juice?

  13. 13.A bus travels 180 miles in 3 hours at a steady speed. What is its unit rate in miles per hour?

  14. 14.3 pounds of apples cost $4.50. What is the price per pound?

  15. 15.A printer makes 80 pages in 4 minutes. How many pages does it make per minute?

  16. 16.A hose pours 12 liters of water in 8 minutes. What is the rate in liters per minute?

  17. 17.Rae runs 200 meters in 40 seconds. Bo runs 180 meters in 30 seconds. Who has the greater speed?

  18. 18.A student types 45 words in 3 minutes. What is the typing rate in words per minute?

  19. 19.A car uses 8 gallons of gas to travel 240 miles. How many miles does it travel per gallon?

  20. 20.Nico earns $72 for 6 hours of work. What is the hourly rate?

  21. 21.2.5 meters of ribbon cost $5. What is the cost per meter?

  22. 22.A faucet fills 24 liters in 6 minutes at a steady rate. How many liters does it fill in 10 minutes?

  23. 23.What is 20% of 80?

  24. 24.15 is what percent of 60?

  25. 25.A shirt costs $40. It is on sale for 25% off. What is the sale price?

  26. 26.A plant grew from 20 centimeters to 25 centimeters. What was the percent increase?

  27. 27.What is 0.4 written as a percent?

  28. 28.What is 75% written as a fraction in lowest terms?

  29. 29.A student answered 18 of 20 questions correctly. What percent is that?

  30. 30.What is 10% of 250?

  31. 31.A ticket price rises from $50 to $60. What is the percent increase?

  32. 32.What is 5% of 200?

  33. 33.What is 1/5 written as a percent?

  34. 34.30% of the 40 students in a class brought lunch from home. How many students is that?

  35. 35.What is −7 + 4?

  36. 36.What is 6 + (−9)?

  37. 37.What is −3 − 5?

  38. 38.What is −8 − (−2)?

  39. 39.What is 4 × (−3)?

  40. 40.What is −12 ÷ 3?

  41. 41.What is (−5) × (−4)?

  42. 42.What is the absolute value of −15?

  43. 43.Which integer is greater, −2 or −9?

  44. 44.A diver is at −12 meters and then rises 5 meters. What is the diver's new position?

  45. 45.The temperature was −4 degrees and then fell 6 degrees. What is the temperature now?

  46. 46.Which list is ordered from least to greatest?

  47. 47.What is 3 + 4 × 2?

  48. 48.What is (8 − 2) × 5?

  49. 49.What is 2 cubed?

  50. 50.What is 18 ÷ 3 + 4?

  51. 51.What is the value of 4x + 1 when x = 5?

  52. 52.What is the value of 3(n − 2) when n = 6?

  53. 53.Which expression means 5 more than twice a number n?

  54. 54.Simplify 3x + 5x.

  55. 55.Simplify 7y − 2y + 4.

  56. 56.Which expression equals 4(x + 3)?

  57. 57.What is 2 squared, multiplied by 3?

  58. 58.Which expression shows 6x + 9 factored with the greatest common factor?

  59. 59.Solve x + 9 = 14.

  60. 60.Solve n − 7 = 12.

  61. 61.Solve 4y = 28.

  62. 62.Solve m ÷ 5 = 6.

  63. 63.Solve 2x + 3 = 15.

  64. 64.Solve 3(n + 1) = 18.

  65. 65.Solve x ÷ 4 − 1 = 2.

  66. 66.A number is doubled, and then 4 is subtracted. The result is 10. What is the number?

  67. 67.Which number is a solution of x + 3 > 8?

  68. 68.Which value of n makes 2n < 10 true?

  69. 69.A rectangle is 9 centimeters long and 4 centimeters wide. What is its area?

  70. 70.A triangle has a base of 10 inches and a height of 6 inches. What is its area?

  71. 71.A parallelogram has a base of 8 meters and a height of 5 meters. A slanted side is 6 meters. What is the area?

  72. 72.A trapezoid has bases of 6 feet and 10 feet and a height of 4 feet. What is its area?

  73. 73.A rectangular prism is 5 inches long, 3 inches wide, and 2 inches high. What is its volume?

  74. 74.A cube has edges that are 4 centimeters long. What is its volume?

  75. 75.A cube has edges that are 3 centimeters long. What is its surface area?

  76. 76.A rectangle has an area of 48 square meters and a length of 8 meters. What is the width?

  77. 77.A triangle has area 20 square inches and base 8 inches. What is the height?

  78. 78.A rectangular prism has a volume of 36 cubic centimeters. The area of its base is 9 square centimeters. What is the height?

  79. 79.A figure is a 6-by-4 rectangle with a triangle on one 4-unit side. The triangle's height, measured away from the rectangle, is 3. What is the total area?

  80. 80.A closed box is 2 feet by 3 feet by 1 foot. What is its surface area?

  81. 81.What is 3/4 + 1/8?

  82. 82.What is 5/6 − 1/3?

  83. 83.What is 2/3 × 3/5?

  84. 84.What is 3/4 ÷ 1/2?

  85. 85.What is 2.5 × 0.4?

  86. 86.What is 6.3 − 2.75?

  87. 87.What is 4.8 ÷ 0.6?

  88. 88.What is the greatest common factor of 18 and 24?

  89. 89.What is the least common multiple of 6 and 8?

  90. 90.What is 7/8 of 40?

  91. 91.Which comparison is true?

  92. 92.What is 0.6 written as a fraction in lowest terms?

  93. 93.What is the mean of 4, 6, 8, and 10?

  94. 94.What is the median of 3, 9, 4, 1, and 7?

  95. 95.What is the mode of 2, 5, 2, 8, 5, and 2?

  96. 96.The scores are 14, 3, 9, and 11. What is the range?

  97. 97.What is the median of 4, 6, 10, and 12?

  98. 98.Which question is a statistical question?

  99. 99.Four numbers have a mean of 6. Three of the numbers are 4, 5, and 9. What is the fourth number?

  100. 100.A bar graph shows 4 books read on Monday and 7 books read on Tuesday. How many more books were read on Tuesday?

  101. 101.A dot plot has one dot at 1, three dots at 2, and one dot at 4. What is the mode?

  102. 102.The numbers 5, 5, 5, and 9 are the ages of four puppies in months. What is the mean age?

  103. 103.In which quadrant is the point (−3, 2)?

  104. 104.In which quadrant is the point (4, −1)?

  105. 105.What is the distance between (1, 2) and (1, 7)?

  106. 106.Which point is on the y-axis?

  107. 107.A point starts at (2, −4). It moves left 5 units and up 1 unit. Where is it now?

  108. 108.What is the distance between (−6, 4) and (2, 4)?