Core Academic Skills Assessment Core Academic Skills Assessment Mathematics: Geometry and Measurement 1 — Questions and Answers
Question 1: What is the area of a rectangle with a length of 12 cm and a width of 5 cm?
- 34 cm²
- 60 cm² (Correct answer)
- 17 cm²
- 120 cm²
Correct answer: 60 cm²
Area of a rectangle = length × width = 12 × 5 = 60 cm².
Question 2: What is the perimeter of a square with a side length of 7 inches?
- 14 inches
- 49 inches
- 28 inches (Correct answer)
- 21 inches
Correct answer: 28 inches
Perimeter of a square = 4 × side length = 4 × 7 = 28 inches.
Question 3: The sum of the interior angles of any triangle equals:
- 90°
- 180° (Correct answer)
- 270°
- 360°
Correct answer: 180°
The interior angles of any triangle always sum to exactly 180 degrees.
Question 4: A circle has a radius of 6 cm. What is its diameter?
- 3 cm
- 6 cm
- 12 cm (Correct answer)
- 18 cm
Correct answer: 12 cm
The diameter of a circle equals twice the radius: diameter = 2 × 6 = 12 cm.
Question 5: What is the volume of a rectangular prism with dimensions 3 × 4 × 5 units?
- 12 cubic units
- 20 cubic units
- 47 cubic units
- 60 cubic units (Correct answer)
Correct answer: 60 cubic units
Volume of a rectangular prism = length × width × height = 3 × 4 × 5 = 60 cubic units.
Question 6: Which of the following correctly describes a right angle?
- An angle measuring exactly 45°
- An angle measuring exactly 90° (Correct answer)
- An angle measuring exactly 180°
- An angle measuring exactly 60°
Correct answer: An angle measuring exactly 90°
A right angle measures exactly 90 degrees and is typically indicated by a small square symbol at the vertex.
What is the area of a rectangle with a length of 12 cm and a width of 5 cm?