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Mathematical Reasoning Flashcards

7 cards from real NFST practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Mathematical Reasoning flashcards as text

  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?

    Answer: 12% increase

    Multiplying 1.40 × 0.80 = 1.12 gives a net 12% increase over the original price.

  2. If f(x) = 3x² - 2x + 1, what is f(−2)?

    Answer: 17

    f(−2) = 3(4) − 2(−2) + 1 = 12 + 4 + 1 = 17.

  3. A train travels 240 miles in 3 hours. At the same rate, how long will it take to travel 400 miles?

    Answer: 5 hours

    The rate is 80 mph; 400 ÷ 80 = 5 hours.

  4. What is the median of the data set: 14, 7, 22, 3, 18, 10, 22?

    Answer: 14

    Sorted: 3, 7, 10, 14, 18, 22, 22 — the middle value (4th) is 14.

  5. Two angles of a triangle measure 55° and 75°. What is the measure of the third angle?

    Answer: 50°

    Angles in a triangle sum to 180°; 180 − 55 − 75 = 50°.

  6. Which expression is equivalent to (x + 3)(x − 5)?

    Answer: x² − 2x − 15

    FOIL: x² − 5x + 3x − 15 = x² − 2x − 15.

  7. A jar contains 5 red, 3 blue, and 2 green marbles. What is the probability of picking a blue marble at random?

    Answer: 3/10

    There are 10 marbles total; P(blue) = 3/10.