Waec Further Mathematics Past Questions and Answers

Question 246:

• WAEC 2007

An object is projected vertically upwards. Its height, h m, at time t seconds is given by $h=20t-\frac{3}{2}{t}^2-\frac{2}{3}{t}^3$. Find
(a) the time at which it is momentarily at rest (b) correct to two decimal places, the maximum height reached by the object.

Question 247:

• WAEC 2007

(a) The roots of the equation $x^2+mx+11=0$ are $\alpha$ and $\beta$, where m is a constant. If ${\alpha }^2+{\beta }^2=27$, find the values of m.
(b) The line $2x+3y=1$ intersects the circle $2x^2+2y^2+4x+9y-9=0$ at points P and Q where Q lies in the fourth quadrant. Find the coordinates of P and Q.

Question 248:

• WAEC 2007

(a) Solve the equation : $\sqrt{4x-3}-\sqrt{2x-5}=2$.
(b) Find the finite area enclosed by the curve $y^2=4x$ and the line $y+x=0$.

Question 249:

• WAEC 2007

(a) Given that $\left|\begin{array}{ccc}5& 2& -3\\ -1& k& 6\\ 3& 9& (k+2)\end{array}\right|=-207$, find the values of the constant k.
(b) The equation of a curve is $x(y^2+1)-y(x^2+1)+4=0$. Find the:
(i) gradient of the curve at any point (x, y).
(ii) equation of the tangent to the curve at the point (-1, -3).

Question 250:

• WAEC 2007

(a) Using the trapezium rule with seven ordinates, evaluate ${\int }_0^3\frac{\mathrm{d}x}{x^2+1}$, correct to two decimal places.
(b) Using matrix method, solve $-2x+y=3;-x+4y=1$.