AFQT Mathematics Knowledge 2 — Questions and Answers
Question 1: What is the value of x if 3x - 7 = 14?
- 5
- 7 (Correct answer)
- 3
- 9
Correct answer: 7
Adding 7 to both sides gives 3x = 21, so x = 7.
Question 2: A rectangle has a length of 12 cm and a width of 5 cm. What is its area?
- 34 cm²
- 60 cm² (Correct answer)
- 17 cm²
- 70 cm²
Correct answer: 60 cm²
Area of a rectangle = length × width = 12 × 5 = 60 cm².
Question 3: Which of the following is a prime number?
- 27
- 51
- 37 (Correct answer)
- 49
Correct answer: 37
37 has no factors other than 1 and itself, making it prime.
Question 4: If a triangle has angles of 45° and 80°, what is the third angle?
- 55° (Correct answer)
- 65°
- 45°
- 75°
Correct answer: 55°
The sum of angles in a triangle is 180°, so 180 - 45 - 80 = 55°.
Question 5: Simplify: 4² + 3³
- 37
- 43 (Correct answer)
- 91
- 49
Correct answer: 43
4² = 16 and 3³ = 27, so 16 + 27 = 43.
Question 6: What is 15% of 240?
- 32
- 36 (Correct answer)
- 40
- 16
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 7: If y = 2x + 5 and x = 3, what is y?
- 10
- 13
- 11 (Correct answer)
- 8
Correct answer: 11
Substituting x = 3: y = 2(3) + 5 = 6 + 5 = 11.
What is the value of x if 3x - 7 = 14?