Core Academic Skills Assessment Core Academic Skills Assessment Mathematics: Geometry and Measurement 2 — Questions and Answers
Question 1: What is the circumference of a circle with a diameter of 10 cm? (Use π ≈ 3.14)
- 15.7 cm
- 31.4 cm (Correct answer)
- 78.5 cm
- 314 cm
Correct answer: 31.4 cm
Circumference = π × diameter = 3.14 × 10 = 31.4 cm.
Question 2: Two angles are supplementary. If one angle measures 65°, what is the measure of the other angle?
- 25°
- 35°
- 115° (Correct answer)
- 295°
Correct answer: 115°
Supplementary angles sum to 180°, so the other angle = 180° − 65° = 115°.
Question 3: A triangle has sides of length 5, 12, and 13. What type of triangle is this?
- Acute triangle
- Obtuse triangle
- Right triangle (Correct answer)
- Equilateral triangle
Correct answer: Right triangle
Since 5² + 12² = 25 + 144 = 169 = 13², the Pythagorean theorem is satisfied, making it a right triangle.
Question 4: What is the area of a triangle with a base of 8 meters and a height of 5 meters?
- 13 m²
- 20 m² (Correct answer)
- 40 m²
- 80 m²
Correct answer: 20 m²
Area of a triangle = ½ × base × height = ½ × 8 × 5 = 20 m².
Question 5: How many degrees are in a complete rotation (full circle)?
- 90°
- 180°
- 270°
- 360° (Correct answer)
Correct answer: 360°
A full rotation around a central point equals 360 degrees.
Question 6: A rectangular room is 15 feet long and 10 feet wide. What is its area?
- 25 sq ft
- 50 sq ft
- 100 sq ft
- 150 sq ft (Correct answer)
Correct answer: 150 sq ft
Area = length × width = 15 × 10 = 150 square feet.
Core Academic Skills Assessment Core Academic Skills Assessment Mathematics: Geometry and Measurement 2
What is the circumference of a circle with a diameter of 10 cm? (Use π ≈ 3.14)