Waec Further Mathematics 2010 Past Questions and Answers

Question 51:

• WAEC 2010

(a) The nth term of a sequence is given by $T_n=4T_{n-1}-3$. If twice the third term is five times the second term, find the first three terms of the sequence.
(b) Given that $\left(\begin{array}{ccc}2& 0& 1\\ 5& -3& 1\\ 0& 4& 6\end{array}\right)\left(\begin{array}{c}1\\ m\\ r\end{array}\right)=\left(\begin{array}{c}k\\ 2\\ 26\end{array}\right)$, find the values of the constants k, m and r.

Question 52:

• WAEC 2010

(a) Copy and complete the table for the relation: $y=2\cos x+3\sin x$ for $0°\le x\le 360°$.

x	0°	30°	60°	90°	120°	150°	180°	210°
y	2.00	3.23			1.60			-3.23

(b) Using a scale of 2 cm to 60° on the x- axis and 2 cm to one unit on the y- axis, draw the graph of $y=2\cos x+3\sin x$ for $0°\le x\le 360°$.
(c) From the graph, find the : (i) maximum value of y, correct to two decimal places ; (ii) solution of the equation $\frac{2}{3}\cos x+\sin x=\frac{5}{6}$.

Question 53:

• WAEC 2010

(a) If $y=(2x+3{)}^7+\frac{x+1}{2x-1}$, find the value of $\frac{\mathrm{d}y}{\mathrm{d}x}$ at x = -1.
(b) Using the substitution, $u=x+2$, evaluate ${\int }_1^2\frac{x-1}{(x+2{)}^4}\mathrm{d}x$.

Question 54:

• WAEC 2010

The images of (3, 2) and (-1, 4) under a linear transformation T are (-1, 4) and (7, 11) respectively. P is another transformation where $P:(x,y)\to (x+y,x+2y)$.
(a) Find the matrices T and P of the linear transformations T and P;
(b) Calculate TP.
(c) Find the image of the point X(4, 3) under TP.

Question 55:

• WAEC 2010

The table gives the distribution of marks of 60 candidates in a test.

Marks	23-25	26-28	29-31	32-34	35-37	38-40
Frequency	3	7	15	21	10	4

(a) Draw a cumulative frequency curve of the distribution.
(b) From your curve, estimate the : (i) 80th percentile ; (ii) median ; (iii) semi-interquartile range.