BCA BCA Mathematics Skills 2 — Questions and Answers
Question 1: A circle has a radius of 5 cm. What is its circumference? (Use π ≈ 3.14)
- 15.7 cm
- 25.4 cm
- 31.4 cm (Correct answer)
- 78.5 cm
Correct answer: 31.4 cm
Circumference = 2πr = 2 × 3.14 × 5 = 31.4 cm.
Question 2: Two angles of a triangle measure 45° and 75°. What is the measure of the third angle?
- 50°
- 55°
- 60° (Correct answer)
- 65°
Correct answer: 60°
The sum of angles in a triangle is 180°, so the third angle = 180 − 45 − 75 = 60°.
Question 3: A square has a perimeter of 36 cm. What is the length of one side?
- 6 cm
- 7 cm
- 8 cm
- 9 cm (Correct answer)
Correct answer: 9 cm
A square has 4 equal sides, so each side = 36 ÷ 4 = 9 cm.
Question 4: What is the volume of a rectangular box that is 5 cm long, 4 cm wide, and 3 cm tall?
- 36 cm³
- 48 cm³
- 60 cm³ (Correct answer)
- 72 cm³
Correct answer: 60 cm³
Volume = length × width × height = 5 × 4 × 3 = 60 cm³.
Question 5: On a coordinate plane, what is the distance between points (0, 0) and (3, 4)?
- 3
- 4
- 5 (Correct answer)
- 7
Correct answer: 5
Using the distance formula: √(3² + 4²) = √(9 + 16) = √25 = 5.
Question 6: If a triangle has a base of 10 cm and a height of 6 cm, what is its area?
- 16 cm²
- 30 cm² (Correct answer)
- 60 cm²
- 120 cm²
Correct answer: 30 cm²
Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm².
A circle has a radius of 5 cm.
What is its circumference? (Use π ≈ 3.14)