IMSA Number Theory and Arithmetic 2 — Questions and Answers
Question 1: What is the remainder when 47 is divided by 5?
- 2 (Correct answer)
- 1
- 3
- 0
Correct answer: 2
47 ÷ 5 = 9 remainder 2, since 5 × 9 = 45 and 47 - 45 = 2.
Question 2: Which number is divisible by both 3 and 4?
- 36 (Correct answer)
- 22
- 14
- 26
Correct answer: 36
36 ÷ 3 = 12 and 36 ÷ 4 = 9, so 36 is divisible by both.
Question 3: What is the absolute value of −15?
- 15 (Correct answer)
- −15
- 0
- 1/15
Correct answer: 15
Absolute value measures distance from zero, so |−15| = 15.
Question 4: Express 0.35 as a fraction in simplest form.
- 7/20 (Correct answer)
- 35/100
- 7/10
- 1/3
Correct answer: 7/20
0.35 = 35/100; dividing numerator and denominator by 5 gives 7/20.
Question 5: What is the value of (−3)⁴?
- 81 (Correct answer)
- −81
- 12
- −12
Correct answer: 81
(−3)⁴ = (−3)(−3)(−3)(−3) = 81, since a negative number raised to an even power is positive.
Question 6: Which of the following is NOT an integer?
- √7 (Correct answer)
- −5
- 0
- 14
Correct answer: √7
√7 ≈ 2.646, which is irrational and not an integer; the others are all whole numbers or their negatives.
IMSA Number Theory and Arithmetic 2
What is the remainder when 47 is divided by 5?