NM-MSSA Mathematics 3 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 4 and 6?
- 24
- 8
- 12 (Correct answer)
- 18
Correct answer: 12
Multiples of 4: 4, 8, 12… Multiples of 6: 6, 12… The LCM is 12.
Question 2: A data set is: 8, 3, 5, 3, 7, 3, 9. What is the mode?
- 5
- 3 (Correct answer)
- 7
- 9
Correct answer: 3
The mode is 3 because it appears three times, more than any other value.
Question 3: Which expression represents 'eight less than twice a number n'?
- 8 − 2n
- 2n − 8 (Correct answer)
- 2(n − 8)
- 8 + 2n
Correct answer: 2n − 8
'Twice a number n' is 2n, and 'eight less than' that is 2n − 8.
Question 4: A jar contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly picking a blue marble?
- 1/2
- 3/10 (Correct answer)
- 3/5
- 1/3
Correct answer: 3/10
There are 3 blue marbles out of 10 total, so the probability is 3/10.
Question 5: What is 15% of 200?
- 25
- 30 (Correct answer)
- 35
- 40
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 6: Which of the following is a prime number?
- 51
- 57
- 59 (Correct answer)
- 63
Correct answer: 59
59 has no factors other than 1 and itself, making it prime; 51=3×17, 57=3×19, 63=9×7.
Question 7: The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there?
- 35
- 40 (Correct answer)
- 45
- 30
Correct answer: 40
If 3 parts = 24, then 1 part = 8, so 5 parts = 40 girls.
What is the least common multiple (LCM) of 4 and 6?