CLAST Geometry and Measurement 1 — Questions and Answers
Question 1: What is the area of a triangle with base 10 cm and height 6 cm?
- 30 cm² (Correct answer)
- 60 cm²
- 30 cm
- 16 cm²
Correct answer: 30 cm²
Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm².
Question 2: A rectangle has a perimeter of 36 meters and a width of 6 meters. What is its length?
- 8 m
- 10 m
- 12 m (Correct answer)
- 15 m
Correct answer: 12 m
Perimeter = 2(l + w); 36 = 2(l + 6); 18 = l + 6; l = 12 meters.
Question 3: In a right triangle, one leg is 6 and the other leg is 8. What is the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 16
Correct answer: 10
Using the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100; c = 10.
Question 4: What is the circumference of a circle with diameter 10 cm? (Use π ≈ 3.14)
- 31.4 cm (Correct answer)
- 78.5 cm
- 15.7 cm
- 314 cm
Correct answer: 31.4 cm
Circumference = π × d = 3.14 × 10 = 31.4 cm.
Question 5: Two angles of a triangle measure 45° and 75°. What is the third angle?
- 50°
- 55°
- 60° (Correct answer)
- 70°
Correct answer: 60°
The sum of angles in a triangle is 180°; third angle = 180 − 45 − 75 = 60°.
Question 6: What is the volume of a rectangular prism with length 5 m, width 3 m, and height 4 m?
- 47 m³
- 60 m³ (Correct answer)
- 24 m³
- 120 m³
Correct answer: 60 m³
Volume = length × width × height = 5 × 3 × 4 = 60 m³.
CLAST Geometry and Measurement 1
What is the area of a triangle with base 10 cm and height 6 cm?