AST Mathematics 2

Question 1

What is the least common multiple (LCM) of 8 and 12?

Accepted Answer

24

Answer

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.

Accepted Answer

6

Answer

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?

Accepted Answer

1/2

Answer

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?

Accepted Answer

12

Answer

Using the Pythagorean theorem: 5² + b² = 13² → 25 + b² = 169 → b² = 144 → b = 12.

Question 5

What is the value of 4! (4 factorial)?

Accepted Answer

24

Answer

4! = 4 × 3 × 2 × 1 = 24.

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