AFCT Mathematics Knowledge 2 — Questions and Answers
Question 1: What is the area of a circle with a radius of 7?
- 14π
- 49π (Correct answer)
- 7π
- 21π
Correct answer: 49π
The area of a circle is A = πr², so π × 7² = 49π.
Question 2: What is the measure of each interior angle of a regular hexagon?
- 90°
- 108°
- 120° (Correct answer)
- 135°
Correct answer: 120°
The interior angle of a regular polygon = (n - 2) × 180° / n = (6 - 2) × 180° / 6 = 120°.
Question 3: A right triangle has legs measuring 5 and 12. What is the length of the hypotenuse?
- 13 (Correct answer)
- 15
- 17
- 11
Correct answer: 13
Using the Pythagorean theorem: √(5² + 12²) = √(25 + 144) = √169 = 13.
Question 4: What is the volume of a rectangular box with dimensions 4 × 6 × 3?
- 48
- 72 (Correct answer)
- 36
- 96
Correct answer: 72
Volume = length × width × height = 4 × 6 × 3 = 72 cubic units.
Question 5: Two angles are supplementary. One angle measures 65°. What is the measure of the other angle?
- 25°
- 115° (Correct answer)
- 125°
- 35°
Correct answer: 115°
Supplementary angles sum to 180°, so 180° - 65° = 115°.
Question 6: What is the perimeter of a square whose area is 64 square units?
- 16
- 32 (Correct answer)
- 24
- 8
Correct answer: 32
The side length is √64 = 8, and the perimeter of a square is 4 × side = 4 × 8 = 32.
Question 7: What is the circumference of a circle with a diameter of 10?
- 5π
- 10π (Correct answer)
- 20π
- 25π
Correct answer: 10π
Circumference = π × diameter = π × 10 = 10π.
AFCT Mathematics Knowledge 2
What is the area of a circle with a radius of 7?