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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. If 5x − 3 = 2x + 12, what is the value of x?

    Answer: 5

    5x − 2x = 12 + 3 → 3x = 15 → x = 5.

  2. A rectangle has a perimeter of 54 cm and a length of 18 cm. What is its width?

    Answer: 9 cm

    Perimeter = 2(l + w): 54 = 2(18 + w) → w = 9 cm.

  3. The ratio of boys to girls in a class is 3:4. If there are 28 students, how many are boys?

    Answer: 12

    Boys = (3/7) × 28 = 12.

  4. What is the slope of the line passing through (2, 5) and (6, 13)?

    Answer: 2

    Slope = (13 − 5)/(6 − 2) = 8/4 = 2.

  5. A circle has a radius of 7 cm. What is its area? (Use π ≈ 3.14)

    Answer: 153.86 cm²

    Area = π r² = 3.14 × 49 ≈ 153.86 cm².

  6. Simplify: 4(3x − 2) − 2(x + 5)

    Answer: 10x − 18

    12x − 8 − 2x − 10 = 10x − 18.

  7. Which of the following is a prime number?

    Answer: 37

    37 has no factors other than 1 and itself; the others are divisible by 3, 7, or 5.