AMC 8 Geometry & Measurement 1 — Questions and Answers
Question 1: What is the area of a triangle with base 10 and height 6?
- 30 (Correct answer)
- 40
- 60
- 16
Correct answer: 30
Area = ½ × base × height = ½ × 10 × 6 = 30.
Question 2: A rectangle has perimeter 24 and length 8. What is its area?
- 16
- 32 (Correct answer)
- 48
- 64
Correct answer: 32
Using P = 2(l + w): 24 = 2(8 + w), so w = 4, and area = 8 × 4 = 32.
Question 3: What is the measure of each interior angle of a regular hexagon?
- 108°
- 120° (Correct answer)
- 135°
- 60°
Correct answer: 120°
A hexagon's interior angles sum to (6−2)×180° = 720°, so each angle = 720°/6 = 120°.
Question 4: Two angles of a triangle are 55° and 75°. What is the third angle?
- 40°
- 45°
- 50° (Correct answer)
- 60°
Correct answer: 50°
The angles sum to 180°, so the third angle = 180° − 55° − 75° = 50°.
Question 5: A square has area 144. What is its perimeter?
- 12
- 24
- 48 (Correct answer)
- 72
Correct answer: 48
Side = √144 = 12, so perimeter = 4 × 12 = 48.
Question 6: A circle has radius 7. What is its area? (Use π ≈ 22/7)
- 44
- 154 (Correct answer)
- 308
- 616
Correct answer: 154
Area = π × r² = (22/7) × 49 = 22 × 7 = 154.
AMC 8 Geometry & Measurement 1
What is the area of a triangle with base 10 and height 6?