Further Mathematics 2015 Waec Past Questions and Answers

Question 21 :

• WAEC 2015

If \(x = i - 3j\) and \(y = 6i + j\), calculate the angle between x and y.

A. 60°
B. 75°
C. 81°
D. 85°

Question 22 :

• WAEC 2015

The gradient of a curve at the point (-2, 0) is \(3x^{2} - 4x\). Find the equation of the curve.

A. \(y = 6x - 4\)
B. \(y = 6x^{2} - 4x + 12\)
C. \(y = x^{3} - 2x^{2}\)
D. \(y = x^{3} - 2x^{2} + 16\)

Question 23 :

• WAEC 2015

If \(\alpha\) and \(\beta\) are the roots of \(x^{2} + x - 2 = 0\), find the value of \(\frac{1}{\alpha^{2}} + \frac{1}{\beta^{2}}\).

A. \(\frac{5}{4}\)
B. \(\frac{3}{4}\)
C. \(\frac{1}{4}\)
D. \(\frac{-3}{4}\)

Question 24 :

• WAEC 2015

Given that \(x^{2} + 4x + k = (x + r)^{2} + 1\), find the value of k and r.

A. K = 5, r = -1
B. K = 5, r = 2
C. K = 2, r = -5
D. K = -1, r = 5

Question 25 :

• WAEC 2015

Given the statements:
p : the subject is difficult
q : I will do my best
Which of the following is equivalent to 'Although the subject is difficult, I will do my best'?

A. \(p \vee q\)
B. \(\sim p \vee q\)
C. \(p \wedge (\sim q)\)
D. \( p \wedge q\)