AFQT Mathematics Knowledge Advanced 4

Question 1

What is 15% of 240?

Accepted Answer

36

Answer

15% of 240 = 0.15 × 240 = 36.

Question 2

Solve for y: 2y/3 + 4 = 10

Accepted Answer

y = 9

Answer

Subtract 4 from both sides to get 2y/3 = 6, then multiply by 3/2 to get y = 9.

Question 3

A square has a diagonal of 10. What is the area of the square?

Accepted Answer

50

Answer

For a square with diagonal d, area = d²/2 = 100/2 = 50.

Question 4

Which of the following is a factor of x² − 9?

Accepted Answer

(x + 3)

Answer

x² − 9 is a difference of squares: (x+3)(x−3), so (x+3) is a factor.

Question 5

What is the median of the set {7, 3, 11, 9, 5}?

Accepted Answer

7

Answer

Ordered: {3, 5, 7, 9, 11}; the middle (3rd) value is 7.

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