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Mathematics Knowledge Flashcards

7 cards from real AFCT 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 × 2⁴?

    Answer: 2⁷

    When multiplying powers with the same base, add the exponents: 2³ × 2⁴ = 2^(3+4) = 2⁷.

  2. Which of the following is a prime number?

    Answer: 59

    59 is prime; 51 = 3 × 17, 57 = 3 × 19, and 63 = 7 × 9.

  3. What is 25% of 80?

    Answer: 20

    25% of 80 = 0.25 × 80 = 20.

  4. If the ratio of a to b is 3:5 and a = 12, what is the value of b?

    Answer: 20

    Setting up the proportion 3/5 = 12/b and cross-multiplying gives b = 12 × 5/3 = 20.

  5. What is the least common multiple (LCM) of 6 and 8?

    Answer: 24

    The LCM of 6 and 8 is 24, the smallest positive integer divisible by both 6 and 8.

  6. Simplify the expression: (x + 2)²

    Answer: x² + 4x + 4

    (x + 2)² = x² + 2(x)(2) + 2² = x² + 4x + 4 by expanding using FOIL.

  7. If a number is increased by 20% and then decreased by 20%, the result is:

    Answer: 4% less than the original

    Starting with 100: 100 × 1.20 × 0.80 = 96, which is 4% less than the original.