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Mathematics Knowledge Flashcards

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

Read the first 7 Mathematics Knowledge flashcards as text

  1. What is the value of 2³ × 2²?

    Answer: 32

    2³ × 2² = 2^(3+2) = 2⁵ = 32.

  2. A bag contains 5 red and 3 blue marbles. What is the probability of drawing a red marble?

    Answer: 5/8

    Probability = 5 red / (5 + 3) total = 5/8.

  3. Solve: |x − 4| = 7

    Answer: x = 11 or x = −3

    x − 4 = 7 gives x = 11; x − 4 = −7 gives x = −3.

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

    Answer: 12

    Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48 include 12; GCF = 12.

  5. If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many students are in the class?

    Answer: 64

    3 parts = 24, so 1 part = 8; total = 8 parts = 64.

  6. Which expression equals (2x + 3)²?

    Answer: 4x² + 12x + 9

    (2x + 3)² = (2x)² + 2(2x)(3) + 3² = 4x² + 12x + 9.

  7. What is the surface area of a cube with side length 4?

    Answer: 96

    Surface area = 6 × side² = 6 × 16 = 96.