GED Mathematical reasoning 3

Question 1

Which of the following is a prime number?

Accepted Answer

59

Answer

59 has no factors other than 1 and itself. 51 = 3×17, 57 = 3×19, 63 = 7×9.

Question 2

Evaluate: −4² + 3 × (−2)

Accepted Answer

−22

Answer

Following order of operations: −4² = −16 (exponent applies to 4 only), 3 × (−2) = −6, then −16 + (−6) = −22.

Question 3

A jar contains 12 red marbles, 8 blue marbles, and 5 green marbles. What is the probability of randomly selecting a blue marble?

Accepted Answer

8/25

Answer

Total marbles = 12 + 8 + 5 = 25. P(blue) = 8/25.

Question 4

What is the least common multiple (LCM) of 12 and 18?

Accepted Answer

36

Answer

The LCM of 12 and 18 is 36. Multiples of 12: 12, 24, 36… Multiples of 18: 18, 36… The smallest shared multiple is 36.

Question 5

A worker earns $18.50 per hour and works 37.5 hours in a week. What are the worker's gross earnings for that week?

Accepted Answer

$693.75

Answer

$18.50 × 37.5 = $693.75. Multiply hourly rate by hours worked.

GED Practice Test