Waec Further Mathematics Past Questions and Answers

Question 336:

• WAEC 2008

(a) Forces \(F_{1} = \begin{pmatrix} -5 & 4 \end{pmatrix} N; F_{2} = \begin{pmatrix} 2 \\ 5 \end{pmatrix} N; F_{3} = \begin{pmatrix} 2 & -1 \end{pmatrix} N\) and \(F_{4} = \begin{pmatrix} 3 & -5 \end{pmatrix} N\) act on a body. Find the :
(i) resultant of these forces ; (ii) fifth force that will keep the body in equilibrium.
(b) A body moving at 20 ms\(^{-1}\) accelerates uniformly at 2.5 ms\(^{-2}\) for 4 seconds. It continues the journey at the speed for 8 seconds, before coming to rest in t seconds with a uniform retardation. If the ratio of the acceleration to the retardation is 3 : 4,
(i) sketch the velocity- time graph of the journey ; (ii) find t ; (iii) find the total distance of the journey.

Question 337:

• WAEC 2009

Solve \(x^{2} - 2x - 8 > 0\).

A. X < -4 or x > 2
B. X < -2 or x > 4
C. -2 < x < 4
D. -4 < x < 2

Question 338:

• WAEC 2009

Solve \(x^{2} - 2x - 8 > 0\).

A. X < -4 or x > 2
B. X < -2 or x > 4
C. -2 < x < 4
D. -4 < x < 2

Question 339:

• WAEC 2009

If (x + 3) is a factor of the polynomial \(x^{3} + 3x^{2} + nx - 12\), where n is a constant, find the value of n.

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

Question 340:

• WAEC 2009

The line \(y = mx - 3\) is a tangent to the curve \(y = 1 - 3x + 2x^{3}\) at (1, 0). Find the value of the constant m.

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