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Mathematics Flashcards

7 cards from real FTCE 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 flashcards as text

  1. A teacher asks students to evaluate log₂(64). What is the correct answer?

    Answer: 6

    log₂(64) asks for the power to which 2 must be raised to get 64; since 2⁶=64, the answer is 6.

  2. Which set of side lengths forms a valid triangle?

    Answer: 5, 12, 13

    By the triangle inequality, the sum of any two sides must exceed the third; 5+12=17>13, 5+13=18>12, and 12+13=25>5.

  3. An arithmetic sequence begins 7, 11, 15, 19, … What is the 20th term?

    Answer: 83

    Using aₙ = a₁ + (n−1)d = 7 + (19)(4) = 7 + 76 = 83.

  4. If P(A) = 0.4 and P(B) = 0.3, and A and B are independent events, what is P(A and B)?

    Answer: 0.12

    For independent events, P(A and B) = P(A) × P(B) = 0.4 × 0.3 = 0.12.

  5. A circle has a diameter of 10 cm. What is the area of a sector with a central angle of 72°?

    Answer: 5π cm²

    Area of sector = (θ/360°)×πr² = (72/360)×π(5²) = 0.2×25π = 5π cm².

  6. Which of the following is equivalent to (x² - 9)/(x - 3) for x ≠ 3?

    Answer: x + 3

    Factoring the numerator: (x-3)(x+3)/(x-3) = x+3 when x≠3.

  7. A student records the heights (in inches) of classmates: 60, 62, 63, 65, 65, 67, 70. What is the median?

    Answer: 65

    With 7 values ordered from least to greatest, the median is the 4th value, which is 65.