OSAT Secondary Mathematics 2

Question 1

What is the sum of the interior angles of a hexagon?

Accepted Answer

720°

Answer

Using (n − 2) × 180°, a hexagon (n = 6) has (6 − 2) × 180° = 720°.

Question 2

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in what relationship?

Accepted Answer

Proportional

Answer

Similar triangles have equal corresponding angles and proportional corresponding sides.

Question 3

What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use π ≈ 3.14)

Accepted Answer

282.6 cm³

Answer

V = πr²h = 3.14 × 9 × 10 = 282.6 cm³.

Question 4

In a right triangle, if a = 5 and b = 12, what is the length of the hypotenuse c?

Accepted Answer

13

Answer

Using a² + b² = c²: 25 + 144 = 169, so c = √169 = 13.

Question 5

Which transformation preserves both the size and shape of a geometric figure?

Accepted Answer

Rotation

Answer

A rotation is an isometry — it preserves distance and shape — while dilation changes size and stretches/compressions distort proportions.

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