PERT Geometry & Measurement Skills 3 — Questions and Answers
Question 1: What is the area of a circle with a diameter of 10 m? (Use π ≈ 3.14)
- 78.5 m² (Correct answer)
- 31.4 m²
- 157 m²
- 314 m²
Correct answer: 78.5 m²
Radius = 5 m, so area = πr² = 3.14 × 25 = 78.5 m².
Question 2: Two angles of a triangle measure 50° and 60°. What is the third angle?
- 70° (Correct answer)
- 80°
- 110°
- 60°
Correct answer: 70°
The angles of a triangle sum to 180°, so 180° − 50° − 60° = 70°.
Question 3: A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
- 282.6 cm³ (Correct answer)
- 94.2 cm³
- 188.4 cm³
- 90 cm³
Correct answer: 282.6 cm³
Volume = πr²h = 3.14 × 9 × 10 = 282.6 cm³.
Question 4: Convert 2,000 grams to kilograms.
- 2 kg (Correct answer)
- 20 kg
- 0.2 kg
- 200 kg
Correct answer: 2 kg
There are 1,000 grams in a kilogram, so 2,000 ÷ 1,000 = 2 kg.
Question 5: A right triangle has legs of 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 9
Correct answer: 10
√(6² + 8²) = √100 = 10.
Question 6: What is the perimeter of a rectangle that is 9 in long and 4 in wide?
- 26 in (Correct answer)
- 36 in
- 13 in
- 22 in
Correct answer: 26 in
Perimeter = 2(length + width) = 2(9 + 4) = 26 in.
Question 7: A pair of supplementary angles includes one angle of 120°. What is the other angle?
- 60° (Correct answer)
- 240°
- 30°
- 70°
Correct answer: 60°
Supplementary angles sum to 180°, so 180° − 120° = 60°.
PERT Geometry & Measurement Skills 3
What is the area of a circle with a diameter of 10 m? (Use π ≈ 3.14)