Math Math Geometry and Measurement 5 — Questions and Answers
Question 1: On a coordinate plane, what is the distance between points (1, 2) and (4, 6)?
- 3 units
- 4 units
- 5 units (Correct answer)
- 7 units
Correct answer: 5 units
Distance = √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5 units.
Question 2: A cone has a radius of 6 cm and a height of 8 cm. What is its volume? (Use π ≈ 3.14)
- 100.48 cm³
- 150.72 cm³
- 301.44 cm³ (Correct answer)
- 904.32 cm³
Correct answer: 301.44 cm³
V = (1/3)πr²h = (1/3)(3.14)(36)(8) = 301.44 cm³.
Question 3: A trapezoid has parallel bases of 6 in and 10 in and a height of 4 in. What is its area?
- 24 in²
- 32 in² (Correct answer)
- 40 in²
- 48 in²
Correct answer: 32 in²
Area = ½ × (b₁ + b₂) × h = ½ × (6 + 10) × 4 = 32 in².
Question 4: Two parallel lines are cut by a transversal. If one interior angle is 65°, what is the measure of the co-interior (same-side interior) angle?
- 25°
- 65°
- 115° (Correct answer)
- 125°
Correct answer: 115°
Co-interior angles (also called consecutive interior angles) are supplementary, so 180° − 65° = 115°.
Question 5: A sector of a circle has a central angle of 90° and a radius of 8 inches. What is the area of the sector? (Use π ≈ 3.14)
- 12.56 in²
- 25.12 in²
- 50.24 in² (Correct answer)
- 200.96 in²
Correct answer: 50.24 in²
Area of sector = (θ/360) × πr² = (90/360) × 3.14 × 64 = 0.25 × 200.96 = 50.24 in².
Question 6: A scale drawing uses a scale of 1 inch = 15 feet. If a room is 3.5 inches long on the drawing, what is its actual length?
- 42.5 feet
- 45 feet
- 52.5 feet (Correct answer)
- 60 feet
Correct answer: 52.5 feet
Actual length = 3.5 × 15 = 52.5 feet.
Question 7: What is the perimeter of a regular hexagon with a side length of 9 cm?
- 36 cm
- 45 cm
- 54 cm (Correct answer)
- 63 cm
Correct answer: 54 cm
A regular hexagon has 6 equal sides, so perimeter = 6 × 9 = 54 cm.
Math Math Geometry and Measurement 5
On a coordinate plane, what is the distance between points (1, 2) and (4, 6)?