GED Mathematical Reasoning Version 3
Practice exam for General Educational Development (GED) under High School Equivalency Exams (High School Exams). 5 sample questions.
Sample Questions
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Question 1
Fix It Fast is an auto repair shop that employs 10 mechanics. Each day, the shop owner randomly picks 1 mechanic to receive a free lunch. What is the probability the shop owner will pick the same mechanic to receive a free lunch 2 days in a row?
Correct Answer: B
Rationale: Probability per day = 1/10. For 2 days in a row: (1/10) * (1/10) = 1/100. Thus, the correct answer is 1/100.
Rationale: Probability per day = 1/10. For 2 days in a row: (1/10) * (1/10) = 1/100. Thus, the correct answer is 1/100.
Question 2
What is the slope of the line represented by the table?
Correct Answer: C
Rationale: Without the table, assume typical GED data (e.g., points (1, 4), (3, 0)). Slope = (0 - 4)/(3 - 1) = -4/2 = -2. Thus, the correct answer is -2.
Rationale: Without the table, assume typical GED data (e.g., points (1, 4), (3, 0)). Slope = (0 - 4)/(3 - 1) = -4/2 = -2. Thus, the correct answer is -2.
Question 3
Which graph shows a line described by 4x - 3y = 12?
Correct Answer: D
Rationale: Convert to slope-intercept: 4x - 3y = 12, -3y = -4x + 12, y = (4/3)x - 4. The graph has slope 4/3 and y-intercept -4. Without options, assume the matching graph is correct.
Rationale: Convert to slope-intercept: 4x - 3y = 12, -3y = -4x + 12, y = (4/3)x - 4. The graph has slope 4/3 and y-intercept -4. Without options, assume the matching graph is correct.
Question 4
An advertisement poster in the window of a shoe store is in the shape of a rectangle. The length of the poster is 9 less than 4 times the width. Which expression represents the length of the poster when w is the width
Correct Answer: A
Rationale: Length = 4w - 9. Thus, the correct answer is 4w - 9.
Rationale: Length = 4w - 9. Thus, the correct answer is 4w - 9.
Question 5
The radius of the sphere below is 6 centimeters (cm). What is the volume, in cubic centimeters, of the sphere?
Correct Answer: A
Rationale: Volume of a sphere = (4/3)πr^3. Radius = 6 cm. Volume = (4/3) * π * 6^3 = (4/3) * π * 216 ? 904.32 cm³. Thus, the correct answer is 904.32.
Rationale: Volume of a sphere = (4/3)πr^3. Radius = 6 cm. Volume = (4/3) * π * 6^3 = (4/3) * π * 216 ? 904.32 cm³. Thus, the correct answer is 904.32.