NFST Mathematical Reasoning 4 — Questions and Answers
Question 1: A car depreciates in value by 15% each year. If it is currently worth $20,000, what will it be worth after 2 years?
- $14,450 (Correct answer)
- $14,000
- $15,000
- $17,000
Correct answer: $14,450
After year 1: $17,000; after year 2: $17,000 × 0.85 = $14,450.
Question 2: Solve for x: x/4 + 3 = 7
- 16 (Correct answer)
- 10
- 12
- 4
Correct answer: 16
x/4 = 4 → x = 16.
Question 3: In a data set of 8 values, the mean is 12. What is the sum of all 8 values?
- 96 (Correct answer)
- 84
- 100
- 108
Correct answer: 96
Sum = mean × count = 12 × 8 = 96.
Question 4: What is the volume of a rectangular prism with length 8, width 5, and height 3?
- 120 (Correct answer)
- 79
- 160
- 240
Correct answer: 120
Volume = l × w × h = 8 × 5 × 3 = 120 cubic units.
Question 5: If y varies directly with x and y = 15 when x = 5, what is y when x = 9?
- 27 (Correct answer)
- 45
- 18
- 25
Correct answer: 27
The constant of variation is k = 15/5 = 3; y = 3 × 9 = 27.
Question 6: A ladder 13 ft long leans against a wall. If the base is 5 ft from the wall, how high up the wall does the ladder reach?
- 12 ft (Correct answer)
- 10 ft
- 8 ft
- 11 ft
Correct answer: 12 ft
Using the Pythagorean theorem: 13² − 5² = 169 − 25 = 144, √144 = 12 ft.
Question 7: What is 15% of 240?
- 36 (Correct answer)
- 24
- 30
- 40
Correct answer: 36
15% × 240 = 0.15 × 240 = 36.
NFST Mathematical Reasoning 4
A car depreciates in value by 15% each year.
If it is currently worth $20,000, what will it be worth after 2 years?