Waec Further Mathematics Past Questions and Answers

Question 581:

• WAEC 2013

Differentiate \(x^{2} + xy - 5 = 0\).

A. \(\frac{-(2x + y)}{x}\)
B. \(\frac{(2x - y)}{x}\)
C. \(\frac{-x}{2x + y}\)
D. \(\frac{(2x + y)}{x}\)

Question 582:

• WAEC 2013

The fourth term of an exponential sequence is 192 and its ninth term is 6. Find the common ratio of the sequence.

A. \(\frac{1}{3}\)
B. \(\frac{1}{2}\)
C. \(2\)
D. \(3\)

Question 583:

• WAEC 2013

Find the range of values of x for which \(x^{2} + 4x + 5\) is less than \(3x^{2} - x + 2\)

A. \(x > \frac{-1}{2}, x > 3\)
B. \(x < \frac{-1}{2}, x > 3\)
C. \(\frac{-1}{2} \leq x \leq 3\)
D. \(\frac{-1}{2} < x < 3\)

Question 584:

• WAEC 2013

Given that \(\frac{\mathrm d y}{\mathrm d x} = \sqrt{x}\), find y.

A. \(2x^{\frac{3}{2}} + c\)
B. \(\frac{2}{3}x^{\frac{3}{2}} + c\)
C. \(\frac{3}{2}x^{\frac{3}{2}} + c\)
D. \(\frac{2}{3}x^{2} + c\)

Question 585:

• WAEC 2013

Given that \(P = \begin{pmatrix} y - 2 & y - 1 \\ y - 4 & y + 2 \end{pmatrix}\) and |P| = -23, find the value of y.

A. -4
B. -3
C. -1
D. 2