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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 car depreciates in value by 15% each year. If it is currently worth $20,000, what will it be worth after 2 years?

    Answer: $14,450

    After year 1: $17,000; after year 2: $17,000 × 0.85 = $14,450.

  2. Solve for x: x/4 + 3 = 7

    Answer: 16

    x/4 = 4 → x = 16.

  3. In a data set of 8 values, the mean is 12. What is the sum of all 8 values?

    Answer: 96

    Sum = mean × count = 12 × 8 = 96.

  4. What is the volume of a rectangular prism with length 8, width 5, and height 3?

    Answer: 120

    Volume = l × w × h = 8 × 5 × 3 = 120 cubic units.

  5. If y varies directly with x and y = 15 when x = 5, what is y when x = 9?

    Answer: 27

    The constant of variation is k = 15/5 = 3; y = 3 × 9 = 27.

  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?

    Answer: 12 ft

    Using the Pythagorean theorem: 13² − 5² = 169 − 25 = 144, √144 = 12 ft.

  7. What is 15% of 240?

    Answer: 36

    15% × 240 = 0.15 × 240 = 36.