UTMA Number Theory and Arithmetic 2 — Questions and Answers
Question 1: What is the value of 5! (5 factorial)?
- 60
- 100
- 120 (Correct answer)
- 125
Correct answer: 120
5! = 5 × 4 × 3 × 2 × 1 = 120.
Question 2: Which number is divisible by both 4 and 6 but not by 24?
- 48
- 36 (Correct answer)
- 72
- 24
Correct answer: 36
36 is divisible by 4 (36÷4=9) and 6 (36÷6=6) but 36÷24 is not an integer.
Question 3: What is the value of √(169) + √(25)?
- 16
- 17
- 18 (Correct answer)
- 20
Correct answer: 18
√169 = 13 and √25 = 5, so 13 + 5 = 18.
Question 4: In scientific notation, what is 0.00047 written as?
- 4.7 × 10⁻³
- 4.7 × 10⁻⁴ (Correct answer)
- 47 × 10⁻⁵
- 0.47 × 10⁻³
Correct answer: 4.7 × 10⁻⁴
Moving the decimal 4 places right gives 4.7, so 0.00047 = 4.7 × 10⁻⁴.
Question 5: What is the absolute value of (−7 + 3)?
- 4 (Correct answer)
- −4
- 10
- −10
Correct answer: 4
−7 + 3 = −4, and |−4| = 4.
Question 6: What is 15% of 240?
- 30
- 36 (Correct answer)
- 40
- 45
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
What is the value of 5! (5 factorial)?