AA College Mathematics 2 — Questions and Answers
Question 1: What is the greatest common factor (GCF) of 24 and 36?
- 12 (Correct answer)
- 6
- 4
- 8
Correct answer: 12
The factors of 24 include 12, and the factors of 36 include 12; 12 is the largest factor they share.
Question 2: If a rectangle has a length of 8 cm and a width of 5 cm, what is its area?
- 40 cm² (Correct answer)
- 26 cm²
- 13 cm²
- 80 cm²
Correct answer: 40 cm²
Area of a rectangle = length × width = 8 × 5 = 40 cm².
Question 3: Which of the following is an irrational number?
- √2 (Correct answer)
- 0.5
- 3/4
- 16
Correct answer: √2
√2 ≈ 1.41421… is a non-terminating, non-repeating decimal, making it irrational.
Question 4: What is 15% of 200?
- 30 (Correct answer)
- 15
- 25
- 45
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 5: In a right triangle, if one leg is 3 and the other is 4, what is the hypotenuse?
- 5 (Correct answer)
- 7
- 6
- √7
Correct answer: 5
Using the Pythagorean theorem: 3² + 4² = 9 + 16 = 25, so the hypotenuse = √25 = 5.
Question 6: What is the median of the data set: 3, 7, 9, 12, 15?
- 9 (Correct answer)
- 7
- 12
- 10
Correct answer: 9
With five values in ascending order, the median is the middle value, which is the third value: 9.
AA College Mathematics 2
What is the greatest common factor (GCF) of 24 and 36?