Further Mathematics 2016 Waec Past Questions and Answers

Question 21 :

• WAEC 2016

Find the fourth term in the expansion of \((3x - y)^{6}\).

A. \(-540x^{3}y^{3}\)
B. \(-540x^{4}y^{2}\)
C. \(-27x^{3}y^{3}\)
D. \(540x^{4}y^{2}\)

Question 22 :

• WAEC 2016

The 3rd and 6th terms of a geometric progression (G.P.) are \(\frac{8}{3}\) and \(\frac{64}{81}\) respectively, find the common ratio.

A. \(\frac{1}{3}\)
B. \(\frac{2}{3}\)
C. \(\frac{3}{4}\)
D. \(\frac{4}{3}\)

Question 23 :

• WAEC 2016

Given that \(-6, -2\frac{1}{2}, ..., 71\) is a linear sequence , calculate the number of terms in the sequence.

A. 20
B. 21
C. 22
D. 23

Question 24 :

• WAEC 2016

If \(\begin{vmatrix} m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value of m.

A. \(3\frac{8}{9}\)
B. \(3\)
C. \(2\frac{1}{2}\)
D. \(2\)

Question 25 :

• WAEC 2016

If \(P = \begin{pmatrix} 1 & 2 \\ 5 & 1 \end{pmatrix}\) and \(Q = \begin{pmatrix} 0 & 1 \\ 1 & 3 \end{pmatrix}\), find PQ.

A. \(\begin{pmatrix} 5 & 1 \\ 16 & 5 \end{pmatrix}\)
B. \(\begin{pmatrix} 2 & 16 \\ 1 & 10 \end{pmatrix}\)
C. \(\begin{pmatrix} 2 & 7 \\ 1 & 8 \end{pmatrix}\)
D. \(\begin{pmatrix} 2 & 5 \\ -1 & -8 \end{pmatrix}\)