ASVAB Mathematics: Geometry and Measurement 5 — Questions and Answers
Question 1: What is the area of a circle with a diameter of 10 meters? (Use π ≈ 3.14)
- 78.5 m² (Correct answer)
- 31.4 m²
- 314 m²
- 157 m²
Correct answer: 78.5 m²
Radius = 5 m; Area = πr² = 3.14 × 25 = 78.5 m².
Question 2: A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π ≈ 3.14)
- 150.72 cm³ (Correct answer)
- 452.16 cm³
- 200.96 cm³
- 113.04 cm³
Correct answer: 150.72 cm³
Volume = (1/3)πr²h = (1/3)(3.14)(16)(9) = 150.72 cm³.
Question 3: How many feet are in 3 miles?
- 15,840 ft (Correct answer)
- 5,280 ft
- 10,560 ft
- 21,120 ft
Correct answer: 15,840 ft
1 mile = 5,280 feet, so 3 miles = 3 × 5,280 = 15,840 feet.
Question 4: A rectangular garden is 15 m long and 8 m wide. A path 1 m wide runs along the inside edge all around. What is the area of the path?
- 42 m² (Correct answer)
- 44 m²
- 34 m²
- 120 m²
Correct answer: 42 m²
Outer area = 15 × 8 = 120 m²; inner area = 13 × 6 = 78 m²; path area = 120 − 78 = 42 m².
Question 5: What is the measure of each interior angle of a regular pentagon?
- 108° (Correct answer)
- 120°
- 72°
- 90°
Correct answer: 108°
Sum of interior angles = (5−2) × 180° = 540°; each angle = 540°/5 = 108°.
Question 6: A rectangle has an area of 84 cm² and a length of 12 cm. What is its perimeter?
- 38 cm (Correct answer)
- 30 cm
- 24 cm
- 56 cm
Correct answer: 38 cm
Width = 84/12 = 7 cm; Perimeter = 2(12 + 7) = 2(19) = 38 cm.
Question 7: Two complementary angles differ by 18°. What is the measure of the smaller angle?
- 36° (Correct answer)
- 54°
- 18°
- 72°
Correct answer: 36°
Let angles be x and x + 18; x + x + 18 = 90°, so 2x = 72°, x = 36°.
ASVAB Mathematics: Geometry and Measurement 5
What is the area of a circle with a diameter of 10 meters? (Use π ≈ 3.14)