Further Mathematics 2010 Waec Past Questions and Answers

Question 41 :

• WAEC 2010

Simplify \((1 + 2\sqrt{3})^{2} - (1 - 2\sqrt{3})^{2}\)

B. \(8\sqrt{3}\)
C. 13
D. \(2 - 4\sqrt{3}\)

Question 42 :

• WAEC 2010

What is the angle between \(a = (3i - 4j)\) and \(b = (6i + 4j)\)?

A. 13°
B. 87°
C. 100°
D. 110°

Question 43 :

• WAEC 2010

(a) Express \(\frac{2\sqrt{2}}{\sqrt{48} - \sqrt{8} - \sqrt{27}}\) in the form \(p + q\sqrt{r}\), where p, q and r are rational numbers.
(b) If \(V = A\log_{10} (M + N)\), express N in terms of M, V and A.

Question 44 :

• WAEC 2010

If the quadratic equation \((2x - 1) - p(x^{2} + 2) = 0\), where p is a constant, has real roots :
(a) show that \(2p^{2} + p - 1 < 0\);
(b) find the values of p.

Question 45 :

• WAEC 2010

The equation of a curve is \(y = x(3 - x^{2})\). Find the equation of its normal of the point where x = 2.