NFST Mathematical Reasoning 5 — Questions and Answers
Question 1: The sequence 2, 6, 18, 54, … follows a pattern. What is the next term?
- 162 (Correct answer)
- 108
- 216
- 72
Correct answer: 162
Each term is multiplied by 3; 54 × 3 = 162.
Question 2: A student scored 78, 85, 90, and 71 on four tests. What score is needed on the fifth test to achieve a mean of 84?
- 96 (Correct answer)
- 84
- 90
- 88
Correct answer: 96
Needed total = 84 × 5 = 420; 420 − (78+85+90+71) = 420 − 324 = 96.
Question 3: What is the greatest common factor (GCF) of 48 and 36?
- 12 (Correct answer)
- 6
- 18
- 9
Correct answer: 12
Factors of 48 include 12; factors of 36 include 12; 12 is the greatest common factor.
Question 4: A graph shows a line with equation y = −2x + 4. Where does this line intersect the x-axis?
- (2, 0) (Correct answer)
- (0, 4)
- (4, 0)
- (−2, 0)
Correct answer: (2, 0)
Set y = 0: 0 = −2x + 4 → x = 2, so the x-intercept is (2, 0).
Question 5: A recipe calls for 2.5 cups of flour for 24 cookies. How many cups are needed for 60 cookies?
- 6.25 (Correct answer)
- 5
- 7.5
- 4
Correct answer: 6.25
60/24 × 2.5 = 2.5 × 2.5 = 6.25 cups.
Question 6: Which inequality represents all values of x such that 2x + 1 > 9?
- x > 4 (Correct answer)
- x > 5
- x ≥ 4
- x > 8
Correct answer: x > 4
2x > 8 → x > 4.
Question 7: A box contains 4 red, 6 blue, and 2 yellow balls. What is the probability of drawing a red or yellow ball?
- 1/2 (Correct answer)
- 1/3
- 2/3
- 1/4
Correct answer: 1/2
P(red or yellow) = (4 + 2)/12 = 6/12 = 1/2.
NFST Mathematical Reasoning 5
The sequence 2, 6, 18, 54, … follows a pattern.
What is the next term?