BPP Mathematics 2 — Questions and Answers
Question 1: What is the slope of the line passing through the points (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 2: Simplify: 3x² + 5x - 2x² + 4x - 7
- x² + 9x - 7 (Correct answer)
- 5x² + 9x - 7
- x² - 9x + 7
- 5x² - 9x + 7
Correct answer: x² + 9x - 7
Combine like terms: (3x² - 2x²) + (5x + 4x) - 7 = x² + 9x - 7.
Question 3: A jar contains 5 red, 3 blue, and 2 green marbles. What is the probability of picking a blue marble at random?
- 1/5
- 3/10 (Correct answer)
- 3/5
- 1/3
Correct answer: 3/10
Probability = 3 blue / (5 + 3 + 2) total = 3/10.
Question 4: What is the value of 4! (4 factorial)?
- 8
- 16
- 24 (Correct answer)
- 32
Correct answer: 24
4! = 4 × 3 × 2 × 1 = 24.
Question 5: Solve for x: 2(x + 3) = 4x - 6
- x = 3
- x = 6 (Correct answer)
- x = -3
- x = -6
Correct answer: x = 6
2x + 6 = 4x - 6 → 12 = 2x → x = 6.
Question 6: Which of the following is equivalent to log₂(32)?
- 4
- 5 (Correct answer)
- 6
- 8
Correct answer: 5
log₂(32) = 5 because 2⁵ = 32.
Question 7: A rectangle has a perimeter of 54 cm and a length of 16 cm. What is its width?
- 9 cm
- 11 cm (Correct answer)
- 13 cm
- 19 cm
Correct answer: 11 cm
2(16 + w) = 54 → 16 + w = 27 → w = 11 cm.
What is the slope of the line passing through the points (2, 5) and (6, 13)?