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Number Theory and Arithmetic Flashcards

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

Read the first 6 Number Theory and Arithmetic flashcards as text
  1. What is the remainder when 47 is divided by 5?

    Answer: 2

    47 ÷ 5 = 9 remainder 2, since 5 × 9 = 45 and 47 - 45 = 2.

  2. Which number is divisible by both 3 and 4?

    Answer: 36

    36 ÷ 3 = 12 and 36 ÷ 4 = 9, so 36 is divisible by both.

  3. What is the absolute value of −15?

    Answer: 15

    Absolute value measures distance from zero, so |−15| = 15.

  4. Express 0.35 as a fraction in simplest form.

    Answer: 7/20

    0.35 = 35/100; dividing numerator and denominator by 5 gives 7/20.

  5. What is the value of (−3)⁴?

    Answer: 81

    (−3)⁴ = (−3)(−3)(−3)(−3) = 81, since a negative number raised to an even power is positive.

  6. Which of the following is NOT an integer?

    Answer: √7

    √7 ≈ 2.646, which is irrational and not an integer; the others are all whole numbers or their negatives.