AFQT Mathematics Knowledge Advanced 3 — Questions and Answers
Question 1: What is the value of √(144) + √(25)?
- 13
- 17 (Correct answer)
- 15
- 19
Correct answer: 17
√144 = 12 and √25 = 5, so 12 + 5 = 17.
Question 2: Solve for x: log₂(x) = 5
- x = 10
- x = 25
- x = 32 (Correct answer)
- x = 64
Correct answer: x = 32
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?
- 55 (Correct answer)
- 110
- 70
- 35
Correct answer: 55
Area = ½(b₁+b₂)×h = ½(8+14)×5 = ½×22×5 = 55.
Question 4: Which expression is equivalent to (a + b)²?
- a² + b²
- a² − 2ab + b²
- a² + 2ab + b² (Correct answer)
- 2a + 2b
Correct answer: a² + 2ab + b²
(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?
- 0.35
- 0.70
- 0.65 (Correct answer)
- 0.50
Correct answer: 0.65
The complement rule states P(not A) = 1 − P(A) = 1 − 0.35 = 0.65.
Question 6: Evaluate: 4! ÷ 2!
- 4
- 6
- 12 (Correct answer)
- 24
Correct answer: 12
4! = 24 and 2! = 2, so 24 ÷ 2 = 12.
Question 7: What is the distance between points (1, 2) and (4, 6)?
- 5 (Correct answer)
- 7
- 3
- 25
Correct answer: 5
Distance = √((4-1)² + (6-2)²) = √(9+16) = √25 = 5.
AFQT Mathematics Knowledge Advanced 3
What is the value of √(144) + √(25)?