ASVAB Mathematics: Geometry and Measurement 3 — Questions and Answers
Question 1: A right triangle has legs of 5 and 12. What is the length of the hypotenuse?
- 13 (Correct answer)
- 11
- 17
- 7
Correct answer: 13
By the Pythagorean theorem: c = √(5² + 12²) = √(25 + 144) = √169 = 13.
Question 2: What is the surface area of a cube with a side length of 4 inches?
- 96 in² (Correct answer)
- 64 in²
- 24 in²
- 48 in²
Correct answer: 96 in²
A cube has 6 faces; surface area = 6s² = 6(4²) = 6(16) = 96 in².
Question 3: An angle measures 130°. What is the measure of its supplement?
- 50° (Correct answer)
- 40°
- 60°
- 230°
Correct answer: 50°
Supplementary angles sum to 180°, so the supplement = 180° − 130° = 50°.
Question 4: A map uses a scale of 1 inch = 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?
- 175 miles (Correct answer)
- 150 miles
- 200 miles
- 53.5 miles
Correct answer: 175 miles
Actual distance = 3.5 × 50 = 175 miles.
Question 5: What is the volume of a rectangular prism that is 6 cm long, 4 cm wide, and 3 cm tall?
- 72 cm³ (Correct answer)
- 54 cm³
- 48 cm³
- 36 cm³
Correct answer: 72 cm³
Volume = l × w × h = 6 × 4 × 3 = 72 cm³.
Question 6: A sector of a circle has a central angle of 90° and a radius of 6 cm. What is the area of the sector? (Use π ≈ 3.14)
- 28.26 cm² (Correct answer)
- 113.04 cm²
- 18.84 cm²
- 56.52 cm²
Correct answer: 28.26 cm²
Area of sector = (θ/360°) × πr² = (90/360) × 3.14 × 36 = 0.25 × 113.04 = 28.26 cm².
Question 7: Two parallel lines are cut by a transversal. If one co-interior (same-side interior) angle is 110°, what is the other?
- 70° (Correct answer)
- 110°
- 80°
- 60°
Correct answer: 70°
Co-interior angles are supplementary, summing to 180°, so the other angle = 180° − 110° = 70°.
ASVAB Mathematics: Geometry and Measurement 3
A right triangle has legs of 5 and 12.
What is the length of the hypotenuse?