GED Test (High School Equivalency) · Mathematical Reasoning

Arithmetic, Algebra, Geometry and Data

102 practice questions, each with the answer and an explanation.

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All 102 questions

  1. A shirt that costs 40 dollars is on sale for 25 percent off. What is the sale price?
  2. What is the value of 3 + 4 x 5?
  3. A recipe needs 2 cups of flour for 12 cookies. How many cups are needed for 30 cookies?
  4. Solve for x: 4x - 9 = 19.
  5. What is the slope of the line that passes through the points (1, 3) and (4, 12)?
  6. A rectangle is 12 feet long and 5 feet wide. What is its perimeter?
  7. What is the area of a triangle with a base of 10 inches and a height of 6 inches?
  8. A car travels 150 miles in 3 hours. At the same speed, how far will it travel in 5 hours?
  9. What is the mean of the numbers 6, 8, 10, 12 and 14?
  10. Which fraction is equal to 0.375?
  11. A store buys a toy for 20 dollars and sells it for 26 dollars. What is the percent markup based on the cost?
  12. Simplify the expression 3(2x + 5) - 4x.
  13. Which value of x satisfies the inequality 2x + 3 > 11?
  14. What is the probability of rolling a number greater than 4 on a fair six-sided die?
  15. The hypotenuse of a right triangle is 13 and one leg is 5. What is the other leg?
  16. A rectangular box is 4 inches long, 3 inches wide and 2 inches high. What is its volume?
  17. Maria earns 15 dollars an hour and gets 1.5 times her pay for overtime hours. How much does she earn for 5 hours of overtime?
  18. A bar of 5 numbers has a median of 12 when ordered: 7, 9, 12, 15 and x. If the mean is also 12, what is x?
  19. What is the value of the expression 2 to the power 3 plus 3 squared?
  20. Which number is the greatest: 0.6, 5/8, 0.62 or 3/5?
  21. A line has the equation y = 2x - 6. Where does it cross the x-axis?
  22. A class has 12 boys and 18 girls. What is the ratio of boys to the total number of students?
  23. A circle has a radius of 7 centimeters. What is its circumference? (use 22/7 for pi)
  24. A number is increased by 20 percent and the result is 60. What was the original number?
  25. What is 3/4 + 2/3?
  26. A jacket costs 24 dollars and a sales tax of 5 percent is added. What is the total cost?
  27. A prize of 75 dollars is split between two people in the ratio 4 to 1. How much does the first person get?
  28. What is the slope of the line through the points (1, 1) and (7, 13)?
  29. What is the median of these numbers: 29, 34, 27, 13, 12, 35, 21?
  30. What is the value of 2 to the power 6?
  31. A right triangle has legs of 9 and 12 units. How long is the hypotenuse?
  32. What is 3 x 10^4 written as an ordinary number?
  33. 4 notebooks cost 6 dollars. At the same price, how much do 10 notebooks cost?
  34. A jacket costs 150 dollars and is on sale for 40 percent off. What is the sale price?
  35. What is the value of 5 to the power 3?
  36. 3 notebooks cost 7.5 dollars. At the same price, how much do 12 notebooks cost?
  37. Solve for x: 8x + 6 = 102.
  38. A meal costs 120 dollars before a sales tax of 5 percent. What is the total cost with tax?
  39. A right triangle has legs of 6 and 8 units. How long is the hypotenuse?
  40. 5 notebooks cost 12.5 dollars. At the same price, how much do 8 notebooks cost?
  41. A prize of 160 dollars is split between two people in the ratio 3 to 5. How much does the first person get?
  42. 8 notebooks cost 10 dollars. At the same price, how much do 6 notebooks cost?
  43. A bag has 2 red, 6 blue and 2 green marbles. One marble is picked at random. What is the probability that it is red?
  44. A jacket costs 60 dollars and is on sale for 20 percent off. What is the sale price?
  45. A bag has 5 red, 3 blue and 2 green marbles. One marble is picked at random. What is the probability that it is red?
  46. A student scored 65, 71, 78, 62, 94 on five quizzes. What is the mean score?
  47. Solve for x: 3x + 4 = 16.
  48. A jacket costs 45 dollars and is on sale for 10 percent off. What is the sale price?
  49. A jacket costs 90 dollars and is on sale for 30 percent off. What is the sale price?
  50. A right triangle has legs of 7 and 24 units. How long is the hypotenuse?
  51. What is 3/4 + 1/6?
  52. What is the slope of the line through the points (3, 2) and (6, 18)?
  53. What is the median of these numbers: 53, 52, 31, 6, 32, 8, 28?
  54. A meal costs 250 dollars before a sales tax of 7 percent. What is the total cost with tax?
  55. A right triangle has legs of 3 and 4 units. How long is the hypotenuse?
  56. A circle has a radius of 7 inches. What is its area? (Use 3.14 for pi.)
  57. Solve for x: 8x + 13 = 77.
  58. What is the largest whole number x that satisfies 5x + 12 < 47?
  59. What is the largest whole number x that satisfies 2x + 11 < 20?
  60. A student scored 94, 69, 97, 70, 70 on five quizzes. What is the mean score?
  61. A prize of 250 dollars is split between two people in the ratio 2 to 3. How much does the first person get?
  62. Solve for x: 9x + 8 = 44.
  63. A student scored 84, 94, 77, 98, 62 on five quizzes. What is the mean score?
  64. A box is 4 inches long, 4 inches wide and 4 inches tall. What is its volume?
  65. Solve for x: 5x + 1 = 31.
  66. What is the value of 10 to the power 4?
  67. 3 workers can paint a building in 20 days. How many days would 5 workers need, working at the same pace?
  68. A rectangle is 5 feet long and 11 feet wide. What is its area?
  69. What is 7 x 10^2 written as an ordinary number?
  70. What is the value of 4 to the power 3?
  71. What is the median of these numbers: 27, 54, 58, 56, 34, 45, 21?
  72. A car travels 150 miles in 3 hours at a steady speed. What is its speed in miles per hour?
  73. A rectangle is 7 feet long and 7 feet wide. What is its area?
  74. What is the slope of the line through the points (2, 3) and (4, 10)?
  75. 6 notebooks cost 9 dollars. At the same price, how much do 10 notebooks cost?
  76. A student scored 66, 92, 61, 72, 74 on five quizzes. What is the mean score?
  77. What is 4 x 10^6 written as an ordinary number?
  78. A prize of 200 dollars is split between two people in the ratio 3 to 2. How much does the first person get?
  79. A student scored 66, 95, 75, 79, 85 on five quizzes. What is the mean score?
  80. What is the slope of the line through the points (0, 2) and (8, 7)?
  81. What is 2/3 + 1/4?
  82. A rectangle is 15 feet long and 6 feet wide. What is its perimeter?
  83. What is the median of these numbers: 47, 17, 31, 15, 30, 11, 39?
  84. A rectangle is 14 feet long and 5 feet wide. What is its area?
  85. A jacket costs 120 dollars and is on sale for 25 percent off. What is the sale price?
  86. What is 2 x 10^5 written as an ordinary number?
  87. A meal costs 65 dollars before a sales tax of 6 percent. What is the total cost with tax?
  88. A bag has 1 red, 7 blue and 2 green marbles. One marble is picked at random. What is the probability that it is red?
  89. A box is 6 inches long, 4 inches wide and 3 inches tall. What is its volume?
  90. What is 5/6 + 1/3?
  91. 4 workers can paint a building in 12 days. How many days would 6 workers need, working at the same pace?
  92. Solve for x: 5x + 5 = 65.
  93. A box is 3 inches long, 5 inches wide and 5 inches tall. What is its volume?
  94. A meal costs 80 dollars before a sales tax of 10 percent. What is the total cost with tax?
  95. A bag has 3 red, 5 blue and 2 green marbles. One marble is picked at random. What is the probability that it is red?
  96. What is the largest whole number x that satisfies 2x + 11 < 41?
  97. A prize of 100 dollars is split between two people in the ratio 1 to 4. How much does the first person get?
  98. What is the largest whole number x that satisfies 6x + 1 < 47?
  99. A box is 4 inches long, 3 inches wide and 2 inches tall. What is its volume?
  100. A jacket costs 80 dollars and is on sale for 15 percent off. What is the sale price?

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