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
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.
What is the value of −2 + (−5) − (−3)?
Answer: −4
−2 + (−5) − (−3) = −2 − 5 + 3 = −4.
A number squared equals 196. What is the number? (positive value)
Answer: 14
√196 = 14 because 14 × 14 = 196.
What is 3/8 + 5/12?
Answer: 19/24
The LCD of 8 and 12 is 24; 9/24 + 10/24 = 19/24.
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.
What is 40% of 250?
Answer: 100
40% of 250 = 0.40 × 250 = 100.