ASVAB Mathematics: Geometry and Measurement 4 — Questions and Answers
Question 1: A triangle has a base of 9 inches and a height of 6 inches. What is its area?
- 27 in² (Correct answer)
- 54 in²
- 18 in²
- 45 in²
Correct answer: 27 in²
Area of triangle = ½ × base × height = ½ × 9 × 6 = 27 in².
Question 2: A sphere has a radius of 3 cm. What is its volume? (Use π ≈ 3.14)
- 113.04 cm³ (Correct answer)
- 37.68 cm³
- 339.12 cm³
- 28.26 cm³
Correct answer: 113.04 cm³
Volume = (4/3)πr³ = (4/3)(3.14)(27) = 113.04 cm³.
Question 3: What is the perimeter of a regular hexagon with a side length of 7 cm?
- 42 cm (Correct answer)
- 49 cm
- 35 cm
- 56 cm
Correct answer: 42 cm
A regular hexagon has 6 equal sides, so perimeter = 6 × 7 = 42 cm.
Question 4: A right triangle has a hypotenuse of 17 cm and one leg of 8 cm. What is the length of the other leg?
- 15 cm (Correct answer)
- 9 cm
- 12 cm
- 25 cm
Correct answer: 15 cm
Using a² + b² = c²: b = √(17² − 8²) = √(289 − 64) = √225 = 15 cm.
Question 5: Convert 5.5 yards to feet.
- 16.5 feet (Correct answer)
- 1.83 feet
- 55 feet
- 15 feet
Correct answer: 16.5 feet
1 yard = 3 feet, so 5.5 yards × 3 = 16.5 feet.
Question 6: A parallelogram has a base of 11 cm and a height of 7 cm. What is its area?
- 77 cm² (Correct answer)
- 36 cm²
- 154 cm²
- 88 cm²
Correct answer: 77 cm²
Area of a parallelogram = base × height = 11 × 7 = 77 cm².
Question 7: An angle and its complement are in a ratio of 2:1. What is the measure of the larger angle?
- 60° (Correct answer)
- 30°
- 45°
- 90°
Correct answer: 60°
Complementary angles sum to 90°; with ratio 2:1, the larger = (2/3) × 90° = 60°.
ASVAB Mathematics: Geometry and Measurement 4
A triangle has a base of 9 inches and a height of 6 inches.
What is its area?