AST Mathematics 2 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 8 and 12?
- 24 (Correct answer)
- 16
- 36
- 48
Correct answer: 24
The LCM of 8 and 12 is 24 because it is the smallest number divisible by both 8 and 12.
Question 2: Solve for y: 5y - 8 = 2y + 10.
- 6 (Correct answer)
- 4
- 8
- 3
Correct answer: 6
Subtracting 2y from both sides gives 3y - 8 = 10; adding 8 gives 3y = 18, so y = 6.
Question 3: What is the probability of rolling an even number on a standard six-sided die?
- 1/2 (Correct answer)
- 1/3
- 2/3
- 1/6
Correct answer: 1/2
Three of the six faces (2, 4, 6) are even, giving a probability of 3/6 = 1/2.
Question 4: The hypotenuse of a right triangle is 13 and one leg is 5. What is the other leg?
- 12 (Correct answer)
- 10
- 11
- 8
Correct answer: 12
Using the Pythagorean theorem: 5² + b² = 13² → 25 + b² = 169 → b² = 144 → b = 12.
Question 5: What is the value of 4! (4 factorial)?
- 24 (Correct answer)
- 12
- 16
- 8
Correct answer: 24
4! = 4 × 3 × 2 × 1 = 24.
Question 6: Which expression is equivalent to (x + 3)(x - 2)?
- x² + x - 6 (Correct answer)
- x² - x - 6
- x² + x + 6
- x² - 6
Correct answer: x² + x - 6
Using FOIL: x² - 2x + 3x - 6 = x² + x - 6.
AST Mathematics 2
What is the least common multiple (LCM) of 8 and 12?