IMO Geometry 2 — Questions and Answers
Question 1: A cube has a side length of 4 cm. What is its volume?
- 16 cm³
- 48 cm³
- 64 cm³ (Correct answer)
- 96 cm³
Correct answer: 64 cm³
Volume of a cube = side³ = 4³ = 64 cm³.
Question 2: Two angles of a triangle are 55° and 75°. What is the third angle?
- 40°
- 50° (Correct answer)
- 60°
- 70°
Correct answer: 50°
Third angle = 180° − 55° − 75° = 50°, since all angles in a triangle sum to 180°.
Question 3: What is the name of a polygon with 6 sides?
- Pentagon
- Heptagon
- Hexagon (Correct answer)
- Octagon
Correct answer: Hexagon
A hexagon is a polygon with exactly six sides and six angles.
Question 4: A right-angled triangle has legs of length 3 cm and 4 cm. What is the length of the hypotenuse?
- 5 cm (Correct answer)
- 6 cm
- 7 cm
- 8 cm
Correct answer: 5 cm
By the Pythagorean theorem: hypotenuse = √(3² + 4²) = √(9 + 16) = √25 = 5 cm.
Question 5: What is the circumference of a circle with diameter 14 cm? (Use π ≈ 22/7)
- 44 cm (Correct answer)
- 88 cm
- 22 cm
- 28 cm
Correct answer: 44 cm
Circumference = π × d = (22/7) × 14 = 44 cm.
Question 6: A parallelogram has a base of 8 cm and a height of 5 cm. What is its area?
- 13 cm²
- 26 cm²
- 40 cm² (Correct answer)
- 80 cm²
Correct answer: 40 cm²
Area of a parallelogram = base × height = 8 × 5 = 40 cm².
IMO Geometry 2
A cube has a side length of 4 cm.
What is its volume?