AFQT Mathematics Knowledge 5

Question 1

What is the median of the set {3, 7, 9, 15, 21}?

Accepted Answer

9

Answer

The median is the middle value of an ordered set: 3, 7, 9, 15, 21 → median = 9.

Question 2

Simplify: (x³)(x⁴)

Accepted Answer

x⁷

Answer

When multiplying like bases, add the exponents: x³ × x⁴ = x^(3+4) = x⁷.

Question 3

A car travels 180 miles in 3 hours. What is its average speed?

Accepted Answer

60 mph

Answer

Speed = distance ÷ time = 180 ÷ 3 = 60 mph.

Question 4

What is the value of 7! (7 factorial)?

Accepted Answer

5,040

Answer

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040.

Question 5

If a polygon has interior angles summing to 540°, how many sides does it have?

Accepted Answer

5

Answer

Using (n−2)×180 = 540: n−2 = 3, so n = 5 sides (a pentagon).

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