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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. If a number is divisible by 6, it must also be divisible by:

    Answer: 2 and 3

    Since 6 = 2 × 3, any multiple of 6 must be divisible by both 2 and 3.

  2. What is the value of −2 + (−5) − (−3)?

    Answer: −4

    −2 + (−5) − (−3) = −2 − 5 + 3 = −4.

  3. A number squared equals 196. What is the number? (positive value)

    Answer: 14

    √196 = 14 because 14 × 14 = 196.

  4. What is 3/8 + 5/12?

    Answer: 19/24

    The LCD of 8 and 12 is 24; 9/24 + 10/24 = 19/24.

  5. Which of the following represents the number 45 written as a product of prime factors?

    Answer: 3² × 5

    45 = 9 × 5 = 3² × 5; this is the complete prime factorization.

  6. What is 40% of 250?

    Answer: 100

    40% of 250 = 0.40 × 250 = 100.