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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. The sequence 2, 6, 18, 54, … follows a pattern. What is the next term?

    Answer: 162

    Each term is multiplied by 3; 54 × 3 = 162.

  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?

    Answer: 96

    Needed total = 84 × 5 = 420; 420 − (78+85+90+71) = 420 − 324 = 96.

  3. What is the greatest common factor (GCF) of 48 and 36?

    Answer: 12

    Factors of 48 include 12; factors of 36 include 12; 12 is the greatest common factor.

  4. A graph shows a line with equation y = −2x + 4. Where does this line intersect the x-axis?

    Answer: (2, 0)

    Set y = 0: 0 = −2x + 4 → x = 2, so the x-intercept is (2, 0).

  5. A recipe calls for 2.5 cups of flour for 24 cookies. How many cups are needed for 60 cookies?

    Answer: 6.25

    60/24 × 2.5 = 2.5 × 2.5 = 6.25 cups.

  6. Which inequality represents all values of x such that 2x + 1 > 9?

    Answer: x > 4

    2x > 8 → x > 4.

  7. A box contains 4 red, 6 blue, and 2 yellow balls. What is the probability of drawing a red or yellow ball?

    Answer: 1/2

    P(red or yellow) = (4 + 2)/12 = 6/12 = 1/2.