CHSPE Mathematics - Measurement and Geometry 1 — Questions and Answers
Question 1: What is the area of a rectangle with a length of 12 inches and a width of 7 inches?
- 84 square inches (Correct answer)
- 38 square inches
- 19 square inches
- 76 square inches
Correct answer: 84 square inches
Area of a rectangle = length × width = 12 × 7 = 84 square inches.
Question 2: A triangle has sides of 5 cm, 8 cm, and 11 cm. What is its perimeter?
- 24 cm (Correct answer)
- 22 cm
- 26 cm
- 20 cm
Correct answer: 24 cm
Perimeter is the sum of all sides: 5 + 8 + 11 = 24 cm.
Question 3: What is the circumference of a circle with a radius of 6 cm? (Use π ≈ 3.14)
- 37.68 cm (Correct answer)
- 18.84 cm
- 113.04 cm
- 75.36 cm
Correct answer: 37.68 cm
Circumference = 2πr = 2 × 3.14 × 6 = 37.68 cm.
Question 4: What is the area of a circle with a diameter of 10 meters? (Use π ≈ 3.14)
- 78.5 square meters (Correct answer)
- 31.4 square meters
- 314 square meters
- 157 square meters
Correct answer: 78.5 square meters
The radius is 5 m (half the diameter), and Area = πr² = 3.14 × 25 = 78.5 square meters.
Question 5: A rectangular box has a length of 4 ft, a width of 3 ft, and a height of 5 ft. What is its volume?
- 60 cubic feet (Correct answer)
- 47 cubic feet
- 94 cubic feet
- 120 cubic feet
Correct answer: 60 cubic feet
Volume of a rectangular prism = length × width × height = 4 × 3 × 5 = 60 cubic feet.
Question 6: A right triangle has legs of length 6 cm and 8 cm. What is the length of its hypotenuse?
- 10 cm (Correct answer)
- 14 cm
- 7 cm
- 12 cm
Correct answer: 10 cm
Using the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100, so c = 10 cm.
Question 7: Which of the following best describes a pair of supplementary angles?
- Two angles that sum to 180° (Correct answer)
- Two angles that sum to 90°
- Two angles that are equal
- Two angles that sum to 360°
Correct answer: Two angles that sum to 180°
Supplementary angles are two angles whose measures add up to exactly 180°.
CHSPE Mathematics - Measurement and Geometry 1
What is the area of a rectangle with a length of 12 inches and a width of 7 inches?