Waec Further Mathematics Past Questions and Answers

Question 231:

• WAEC 2007

Given that \(p = 4i + 3j\), find the unit vector in the direction of p.

A. \(\frac{1}{3}(4i + 3j)\)
B. \(\frac{1}{3}(3i + 4j)\)
C. \(\frac{1}{5}(3i + 4j)\)
D. \(\frac{1}{5}(4i + 3j)\)

Question 232:

• WAEC 2007

A particle is projected vertically upwards with a speed of 40 m/s. At what times will it be 35m above its point of projection? \(\text{Take g} = 10 ms^{-2}\)

A. 1 sec and 7 sec
B. 1 sec and 8 sec
C. 2 sec and 5 sec
D. 2 sec and 7 sec

Question 233:

• WAEC 2007

Three students are working independently on a Mathematics problem. Their respective probabilities of solving the problem are 0.6, 0.7 and 0.8. What is the probability that at least one of them solves the problem?

A. 0.024
B. 0.336
C. 0.664
D. 0.976

Question 234:

• WAEC 2007

Given that \(R = (4, 180°)\) and \(S = (3, 300°)\), find the dot product.

A. \(-6\sqrt{3}\)
B. -6
C. 6
D. \(6\sqrt{3}\)

Question 235:

• WAEC 2007

Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0, 2 and 9.

A. 7.2
B. 6.6
C. 3.6
D. 3.2