PERT Mathematical Reasoning & Problem Solving 3 — Questions and Answers
Question 1: Solve for y: y/4 + 3 = 7.
- 16 (Correct answer)
- 1
- 28
- 10
Correct answer: 16
Subtract 3 to get y/4 = 4, then multiply by 4 to get y = 16.
Question 2: What is 15% of 240?
- 36 (Correct answer)
- 24
- 30
- 40
Correct answer: 36
15% of 240 is 0.15 × 240 = 36.
Question 3: If f(x) = 2x² - 1, what is f(3)?
- 17 (Correct answer)
- 11
- 35
- 5
Correct answer: 17
f(3) = 2(9) - 1 = 18 - 1 = 17.
Question 4: Factor completely: x² - 9.
- (x + 3)(x - 3) (Correct answer)
- (x - 3)²
- (x + 9)(x - 1)
- (x - 9)(x + 1)
Correct answer: (x + 3)(x - 3)
x² - 9 is a difference of squares, factoring to (x + 3)(x - 3).
Question 5: A car travels 180 miles in 3 hours. What is its average speed?
- 60 mph (Correct answer)
- 54 mph
- 90 mph
- 45 mph
Correct answer: 60 mph
Average speed is distance divided by time = 180/3 = 60 mph.
Question 6: Simplify the expression: 3/4 + 1/6.
- 11/12 (Correct answer)
- 4/10
- 1/2
- 5/6
Correct answer: 11/12
Using a common denominator of 12: 9/12 + 2/12 = 11/12.
Question 7: If 5 pens cost $3.75, how much do 8 pens cost?
- $6.00 (Correct answer)
- $5.25
- $7.50
- $4.80
Correct answer: $6.00
Each pen costs $0.75, so 8 pens cost 8 × $0.75 = $6.00.
