AFQT Mathematics Knowledge Advanced 5

Question 1

What is the value of 2³ × 2⁴?

Accepted Answer

2⁷

Answer

When multiplying powers with the same base, add exponents: 2^(3+4) = 2⁷.

Question 2

A rectangular room is 12 ft by 15 ft. How many square feet of carpet are needed to cover the floor?

Accepted Answer

180 sq ft

Answer

Area = length × width = 12 × 15 = 180 square feet.

Question 3

What is the value of sin(30°)?

Accepted Answer

1/2

Answer

sin(30°) = 1/2 is a standard trigonometric value.

Question 4

If a line passes through (0, -3) and (4, 5), what is its equation?

Accepted Answer

y = 2x − 3

Answer

Slope = (5−(−3))/(4−0) = 8/4 = 2; y-intercept = −3, so y = 2x − 3.

Question 5

What is the least common multiple (LCM) of 12 and 18?

Accepted Answer

36

Answer

12 = 2²×3 and 18 = 2×3²; LCM = 2²×3² = 36.

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