Waec Further Mathematics Past Questions and Answers

Question 416:

• WAEC 2010

The mean age of 15 pupils in a class is 14.2 years. One new pupil joined the class and the mean changed to 14.1 years. Calculate the age of the new pupil.

A. 12.4 years
B. 12.6 years
C. 13.2 years
D. 14.1 years

Question 417:

• WAEC 2010

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. \(1\)

Question 418:

• WAEC 2010

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 419:

• WAEC 2010

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 420:

• WAEC 2010

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)