IMO Geometry

Question 1

What is the sum of interior angles of a triangle?

Accepted Answer

180°

Answer

The interior angles of any triangle always add up to 180°.

Question 2

A rectangle has a length of 12 cm and a width of 5 cm. What is its perimeter?

Accepted Answer

34 cm

Answer

Perimeter = 2 × (length + width) = 2 × (12 + 5) = 2 × 17 = 34 cm.

Question 3

A circle has a radius of 7 cm. What is its area? (Use π ≈ 22/7)

Accepted Answer

154 cm²

Answer

Area = π × r² = (22/7) × 7² = (22/7) × 49 = 154 cm².

Question 4

Which of the following is a property of an equilateral triangle?

Accepted Answer

All sides are equal

Answer

An equilateral triangle has all three sides equal and all three angles equal to 60°.

Question 5

What is the area of a triangle with base 10 cm and height 6 cm?

Accepted Answer

30 cm²

Answer

Area of a triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30 cm².

IMO - International Mathematics Olympiad Practice Test