AFQT Mathematics Knowledge Advanced 3

Question 1

What is the value of √(144) + √(25)?

Accepted Answer

17

Answer

√144 = 12 and √25 = 5, so 12 + 5 = 17.

Question 2

Solve for x: log₂(x) = 5

Accepted Answer

x = 32

Answer

log₂(x) = 5 means 2⁵ = x, so x = 32.

Question 3

What is the area of a trapezoid with bases 8 and 14 and height 5?

Accepted Answer

55

Answer

Area = ½(b₁+b₂)×h = ½(8+14)×5 = ½×22×5 = 55.

Question 4

Which expression is equivalent to (a + b)²?

Accepted Answer

a² + 2ab + b²

Answer

(a + b)² = a² + 2ab + b² by the binomial expansion.

Question 5

If the probability of an event is 0.35, what is the probability it does NOT occur?

Accepted Answer

0.65

Answer

The complement rule states P(not A) = 1 − P(A) = 1 − 0.35 = 0.65.

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