Further Mathematics 2012 Waec Past Questions and Answers

Question 6 :

• WAEC 2012

Given that \(\sin x = \frac{-\sqrt{3}}{2}\) and \(\cos x > 0\), find x.

A. 300°
B. 240°
C. 120°
D. 60°

Question 7 :

• WAEC 2012

Evaluate \(\log_{10}(\frac{1}{3} + \frac{1}{4}) + 2\log_{10} 2 + \log_{10} (\frac{3}{7})\)

A. -3
C. \(\frac{5}{6}\)
D. 1

Question 8 :

• WAEC 2012

QRS is a triangle such that \(\overrightarrow{QR} = (3i + 2j)\) and \(\overrightarrow{SR} = (-5i + 3j)\), find \(\overrightarrow{SQ}\).

A. 8i + j
B. 2i - j
C. -2i - 3j
D. -8i - j

Question 9 :

• WAEC 2012

If (x + 1) is a factor of the polynomial \(x^{3} + px^{2} + x + 6\). Find the value of p.

A. -8
B. -4
C. 4
D. 8

Question 10 :

• WAEC 2012

A polynomial is defined by \(f(x + 1) = x^{3} + px^{2} - 4x + 2\), find f(2).

A. -8
B. -2
C. 2
D. 8