NFST Mathematical Reasoning 2 — Questions and Answers
Question 1: A store marks up an item by 40% and then offers a 20% discount. What is the net percent change from the original price?
- 12% increase (Correct answer)
- 20% increase
- 8% increase
- No change
Correct answer: 12% increase
Multiplying 1.40 × 0.80 = 1.12 gives a net 12% increase over the original price.
Question 2: If f(x) = 3x² - 2x + 1, what is f(−2)?
- 17 (Correct answer)
- 9
- 13
- 21
Correct answer: 17
f(−2) = 3(4) − 2(−2) + 1 = 12 + 4 + 1 = 17.
Question 3: A train travels 240 miles in 3 hours. At the same rate, how long will it take to travel 400 miles?
- 5 hours (Correct answer)
- 4.5 hours
- 6 hours
- 4 hours
Correct answer: 5 hours
The rate is 80 mph; 400 ÷ 80 = 5 hours.
Question 4: What is the median of the data set: 14, 7, 22, 3, 18, 10, 22?
- 14 (Correct answer)
- 10
- 18
- 22
Correct answer: 14
Sorted: 3, 7, 10, 14, 18, 22, 22 — the middle value (4th) is 14.
Question 5: Two angles of a triangle measure 55° and 75°. What is the measure of the third angle?
- 50° (Correct answer)
- 60°
- 45°
- 70°
Correct answer: 50°
Angles in a triangle sum to 180°; 180 − 55 − 75 = 50°.
Question 6: Which expression is equivalent to (x + 3)(x − 5)?
- x² − 2x − 15 (Correct answer)
- x² + 2x − 15
- x² − 2x + 15
- x² − 8x − 15
Correct answer: x² − 2x − 15
FOIL: x² − 5x + 3x − 15 = x² − 2x − 15.
Question 7: A jar contains 5 red, 3 blue, and 2 green marbles. What is the probability of picking a blue marble at random?
- 3/10 (Correct answer)
- 1/3
- 3/7
- 1/5
Correct answer: 3/10
There are 10 marbles total; P(blue) = 3/10.
NFST Mathematical Reasoning 2
A store marks up an item by 40% and then offers a 20% discount.
What is the net percent change from the original price?