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Mathematics Knowledge Advanced Flashcards

7 cards from real AFQT 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 Advanced flashcards as text

  1. What is the value of √(144) + √(25)?

    Answer: 17

    √144 = 12 and √25 = 5, so 12 + 5 = 17.

  2. Solve for x: log₂(x) = 5

    Answer: x = 32

    log₂(x) = 5 means 2⁵ = x, so x = 32.

  3. What is the area of a trapezoid with bases 8 and 14 and height 5?

    Answer: 55

    Area = ½(b₁+b₂)×h = ½(8+14)×5 = ½×22×5 = 55.

  4. Which expression is equivalent to (a + b)²?

    Answer: a² + 2ab + b²

    (a + b)² = a² + 2ab + b² by the binomial expansion.

  5. If the probability of an event is 0.35, what is the probability it does NOT occur?

    Answer: 0.65

    The complement rule states P(not A) = 1 − P(A) = 1 − 0.35 = 0.65.

  6. Evaluate: 4! ÷ 2!

    Answer: 12

    4! = 24 and 2! = 2, so 24 ÷ 2 = 12.

  7. What is the distance between points (1, 2) and (4, 6)?

    Answer: 5

    Distance = √((4-1)² + (6-2)²) = √(9+16) = √25 = 5.