Waec Further Mathematics Past Questions and Answers

Question 471:

• WAEC 2011

The inverse of a function is given by \(f^{-1} : x \to \frac{x + 1}{4}\).

A. \(f : x \to 4x - 1\)
B. \(f : x \to 4x + 1\)
C. \(f : x \to \frac{4x - 1}{4}\)
D. \(f : x \to \frac{x - 1}{2}\)

Question 472:

• WAEC 2011

If \(\begin{pmatrix} 3 & 2 \\ 7 & x \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 12 \\ 29 \end{pmatrix} \), find x.

A. 5
B. 6
C. 7
D. 8

Question 473:

• WAEC 2011

The fourth term of a geometric sequence is 2 and the sixth term is 8. Find the common ratio.

A. \(\pm 1\)
B. \(\pm 2\)
C. \(\pm 3\)
D. \(\pm 4\)

Question 474:

• WAEC 2011

What percentage increase in the radius of a sphere will cause its volume to increase by 45%?

A. 13%
B. 15%
C. 23%
D. 25%

Question 475:

• WAEC 2011

Evaluate \(\frac{1}{1 - \sin 60°}\), leaving your answer in surd form.

A. \(1 - \sqrt{3}\)
B. \(2 - \sqrt{3}\)
C. \(4 - 2\sqrt{3}\)
D. \(4 + 2\sqrt{3}\)