West B Test Math: Geometry and Measurement 3 — Questions and Answers
Question 1: A trapezoid has bases of 8 cm and 12 cm and a height of 5 cm. What is its area?
- 50 cm² (Correct answer)
- 60 cm²
- 40 cm²
- 100 cm²
Correct answer: 50 cm²
Area of a trapezoid = ½(b₁ + b₂) × h = ½(8 + 12) × 5 = ½ × 20 × 5 = 50 cm².
Question 2: If two parallel lines are cut by a transversal, which pair of angles is always congruent?
- Co-interior angles
- Supplementary angles
- Alternate interior angles (Correct answer)
- Adjacent angles
Correct answer: Alternate interior angles
Alternate interior angles formed by a transversal cutting parallel lines are always congruent.
Question 3: A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
- 94.2 cm³
- 188.4 cm³
- 282.6 cm³ (Correct answer)
- 942 cm³
Correct answer: 282.6 cm³
Volume = πr²h = 3.14 × 3² × 10 = 3.14 × 9 × 10 = 282.6 cm³.
Question 4: What is the measure of each interior angle of a regular hexagon?
- 108°
- 120° (Correct answer)
- 135°
- 144°
Correct answer: 120°
Sum of interior angles of a hexagon = (6−2) × 180° = 720°; each angle = 720° ÷ 6 = 120°.
Question 5: A map uses a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
- 53.5 miles
- 150 miles
- 175 miles (Correct answer)
- 200 miles
Correct answer: 175 miles
Actual distance = 3.5 × 50 = 175 miles.
Question 6: Which solid figure has exactly one circular base and comes to a point at the top?
- Cylinder
- Sphere
- Pyramid
- Cone (Correct answer)
Correct answer: Cone
A cone has one circular base and a single vertex (apex) at the top.
Question 7: Two angles of a triangle measure 47° and 83°. What is the measure of the third angle?
- 30°
- 40°
- 50° (Correct answer)
- 60°
Correct answer: 50°
The sum of angles in a triangle is 180°; third angle = 180° − 47° − 83° = 50°.
West B Test Math: Geometry and Measurement 3
A trapezoid has bases of 8 cm and 12 cm and a height of 5 cm.
What is its area?