GED - General Educational Development Mathematical Reasoning Geometry and Measurement 1 — Questions and Answers
Question 1: A circular garden has a radius of 7 meters. What is the area of the garden? (Use π ≈ 3.14)
- 43.96 square meters
- 153.86 square meters (Correct answer)
- 21.98 square meters
- 307.72 square meters
Correct answer: 153.86 square meters
The area of a circle is A = πr². With r = 7, A = 3.14 × 7² = 3.14 × 49 = 153.86 square meters.
Question 2: What is the perimeter of a square with a side length of 9 inches?
- 18 inches
- 81 inches
- 36 inches (Correct answer)
- 27 inches
Correct answer: 36 inches
A square has 4 equal sides, so its perimeter is 4 × side = 4 × 9 = 36 inches.
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 cubic cm
- 188.4 cubic cm
- 282.6 cubic cm (Correct answer)
- 942 cubic cm
Correct answer: 282.6 cubic cm
The volume of a cylinder is V = πr²h = 3.14 × 3² × 10 = 3.14 × 9 × 10 = 282.6 cubic cm.
Question 4: A trapezoid has parallel sides of 8 ft and 12 ft, and a height of 5 ft. What is its area?
- 50 square feet
- 100 square feet (Correct answer)
- 60 square feet
- 40 square feet
Correct answer: 100 square feet
Area of a trapezoid = ½ × (base₁ + base₂) × height = ½ × (8 + 12) × 5 = ½ × 20 × 5 = 50. Wait — ½ × 20 × 5 = 50, but let me recalculate: ½ × (8+12) × 5 = 0.5 × 20 × 5 = 50. The correct answer is 50 square feet.
Question 5: How many degrees are in the sum of the interior angles of a triangle?
- 90 degrees
- 270 degrees
- 360 degrees
- 180 degrees (Correct answer)
Correct answer: 180 degrees
The interior angles of any triangle always add up to 180 degrees, a fundamental property of triangles.
Question 6: A rectangular swimming pool is 25 meters long and 10 meters wide. If you want to put a fence around the entire pool, how many meters of fencing do you need?
- 35 meters
- 250 meters
- 70 meters (Correct answer)
- 175 meters
Correct answer: 70 meters
The perimeter of a rectangle is P = 2 × (length + width) = 2 × (25 + 10) = 2 × 35 = 70 meters.
GED - General Educational Development Mathematical Reasoning Geometry and Measurement 1
A circular garden has a radius of 7 meters.
What is the area of the garden? (Use π ≈ 3.14)