OSAT Secondary Mathematics 2 — Questions and Answers
Question 1: What is the sum of the interior angles of a hexagon?
- 540°
- 720° (Correct answer)
- 900°
- 1080°
Correct answer: 720°
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?
- Equal
- Proportional (Correct answer)
- Supplementary
- Complementary
Correct answer: Proportional
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)
- 94.2 cm³
- 188.4 cm³
- 282.6 cm³ (Correct answer)
- 376.8 cm³
Correct answer: 282.6 cm³
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?
- 11
- 13 (Correct answer)
- 15
- 17
Correct answer: 13
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?
- Dilation
- Rotation (Correct answer)
- Horizontal stretch
- Compression
Correct answer: Rotation
A rotation is an isometry — it preserves distance and shape — while dilation changes size and stretches/compressions distort proportions.
Question 6: What is the relationship between the slopes of two perpendicular lines?
- They are equal
- They are negative reciprocals of each other (Correct answer)
- They sum to zero
- They sum to 1
Correct answer: They are negative reciprocals of each other
Two perpendicular lines have slopes that are negative reciprocals: m₁ × m₂ = −1.
OSAT Secondary Mathematics 2
What is the sum of the interior angles of a hexagon?