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Educational Technology Flashcards

7 cards from real AMC 12 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Educational Technology flashcards as text
  1. A spreadsheet cell contains =COMBIN(6,2). What value does it show?

    Answer: 15

    C(6,2) = 6·5/2 = 15.

  2. What is len([n for n in range(1, 21) if 20 % n == 0]) in Python?

    Answer: 6

    The divisors of 20 are 1, 2, 4, 5, 10, and 20.

  3. A Monte Carlo program picks random points in the unit square and records the fraction that land inside the quarter circle x^2 + y^2 ≤ 1. That fraction approaches what value?

    Answer: About 0.785 (π/4)

    The quarter disk has area π/4 inside a square of area 1.

  4. A graphing tool plots y = |x - 2| + |x + 3|. What is the minimum value of y?

    Answer: 5

    For -3 ≤ x ≤ 2 the sum equals the distance between 2 and -3, which is 5.

  5. What does the Python expression 17 // 5 evaluate to?

    Answer: 3

    // is floor division, so 17 // 5 = 3.

  6. A spreadsheet adds the first 20 positive odd numbers. What total does it show?

    Answer: 400

    The sum of the first n odd numbers is n^2, which is 20^2 = 400.

  7. A program counts the trailing zeros of 25!. What should it output?

    Answer: 6

    Counting factors of 5 gives floor(25/5) + floor(25/25) = 5 + 1 = 6.

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