GED Mathematical Reasoning Geometry and Measurement 3 — Questions and Answers
Question 1: A circular garden has a diameter of 14 feet. What is the approximate area of the garden? (Use π ≈ 3.14)
- 153.86 sq ft (Correct answer)
- 43.96 sq ft
- 615.44 sq ft
- 196 sq ft
Correct answer: 153.86 sq ft
Area = π × r² = 3.14 × 7² = 3.14 × 49 ≈ 153.86 square feet.
Question 2: Two angles are supplementary. One angle measures 73°. What is the measure of the other angle?
- 107° (Correct answer)
- 17°
- 117°
- 97°
Correct answer: 107°
Supplementary angles sum to 180°, so 180° − 73° = 107°.
Question 3: A rectangular box has a length of 10 cm, width of 4 cm, and height of 5 cm. What is its volume?
- 200 cm³ (Correct answer)
- 140 cm³
- 100 cm³
- 38 cm³
Correct answer: 200 cm³
Volume = length × width × height = 10 × 4 × 5 = 200 cm³.
Question 4: On a coordinate plane, what is the distance between points (1, 2) and (4, 6)?
- 5 (Correct answer)
- 7
- 4
- 3
Correct answer: 5
Distance = √[(4−1)² + (6−2)²] = √[9 + 16] = √25 = 5.
Question 5: A triangle has a base of 8 inches and a height of 11 inches. What is its area?
- 44 sq in (Correct answer)
- 88 sq in
- 22 sq in
- 19 sq in
Correct answer: 44 sq in
Area of a triangle = ½ × base × height = ½ × 8 × 11 = 44 square inches.
Question 6: What type of angle measures exactly 90°?
- Right angle (Correct answer)
- Acute angle
- Obtuse angle
- Straight angle
Correct answer: Right angle
A right angle measures exactly 90°, often indicated by a small square in diagrams.
Question 7: A cylinder has a radius of 3 cm and a height of 10 cm. What is its approximate volume? (Use π ≈ 3.14)
- 282.6 cm³ (Correct answer)
- 94.2 cm³
- 565.2 cm³
- 188.4 cm³
Correct answer: 282.6 cm³
Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 cm³.
GED Mathematical Reasoning Geometry and Measurement 3
A circular garden has a diameter of 14 feet.
What is the approximate area of the garden? (Use π ≈ 3.14)