Waec Further Mathematics Past Questions For Year 2010
Question 21
Find the least value of n for which \(^{3n}C_{2} > 0, n \in R\).
- A. \(\frac{1}{3}\)
- B. \(\frac{1}{6}\)
- C. \(\frac{2}{3}\)
- D. 1
Question 22
P, Q, R, S are points in a plane such that PQ = 8i - 5j, QR = 5i + 7j, RS = 7i + 3j and PS = xi + yj. Find (x, y).
- A. (-6, -15)
- B. (-6, 5)
- C. (20, 5)
- D. (20, 15)
Question 23
In a class of 50 pupils, 35 like Science and 30 like History. What is the probability of selecting a pupil who likes both Science and History?
- A. 0.10
- B. 0.30
- C. 0.60
- D. 0.70
Question 24
The probabilities that a husband and wife will be alive in 15 years time are m and n respectively. Find the probability that only one of them will be alive at that time.
- A. mn
- B. m + n
- C. m + n - 2mn
- D. 1 - mn
Question 25
The distance s metres of a particle from a fixed point at time t seconds is given by \(s = 7 + pt^{3} + t^{2}\), where p is a constant. If the acceleration at t = 3 secs is \(8 ms^{-2}\), find the value of p.
- A. \(\frac{1}{3}\)
- B. \(\frac{4}{9}\)
- C. \(\frac{5}{9}\)
- D. \(1\)
