MDTP Arithmetic and Number Sense 2 — Questions and Answers
Question 1: What is the greatest common factor (GCF) of 48 and 36?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
The prime factorizations are 48 = 2⁴ × 3 and 36 = 2² × 3², giving GCF = 2² × 3 = 12.
Question 2: A shirt costs $45 and is on sale for 20% off. What is the sale price?
- $25
- $32
- $36 (Correct answer)
- $40
Correct answer: $36
20% of $45 = $9 discount; $45 - $9 = $36.
Question 3: Which of the following is NOT a prime number?
- 17
- 23
- 29
- 33 (Correct answer)
Correct answer: 33
33 = 3 × 11, so it has factors other than 1 and itself and is not prime.
Question 4: Compute: 3.6 ÷ 0.04
- 9
- 14.4
- 90 (Correct answer)
- 144
Correct answer: 90
3.6 ÷ 0.04 = 360 ÷ 4 = 90 (multiply both by 100).
Question 5: What is the ratio of 2 hours to 45 minutes in simplest form?
- 8:3 (Correct answer)
- 4:3
- 8:1
- 2:45
Correct answer: 8:3
2 hours = 120 minutes; 120:45 simplifies by dividing by 15 to give 8:3.
Question 6: Evaluate: 4! (4 factorial)
- 8
- 16
- 24 (Correct answer)
- 48
Correct answer: 24
4! = 4 × 3 × 2 × 1 = 24.
MDTP Arithmetic and Number Sense 2
What is the greatest common factor (GCF) of 48 and 36?