Further Mathematics 2007 Waec Past Questions and Answers

Question 41 :

• WAEC 2007

Three forces \(F_{1} = (8 N, 300°), F_{2} = (6 N, 090°)\) and \(F_{3} = (4 N, 180°)\) act on a particle. Find the vertical component of the resultant force.

A. 2 N
B. 10 N
C. \((4 + 4\sqrt{3})N\)
D. \((6 - 4\sqrt{3})N\)

Question 42 :

• WAEC 2007

The second term of a geometric progression is 3. If its sum to infinity is \(\frac{25}{2}\), find the value of its common ratio.

Question 43 :

• WAEC 2007

Solve \(x^{\frac{2}{3}} - 5x^{\frac{1}{3}} + 6 = 0\).

Question 44 :

• WAEC 2007

The normal to the curve \(y = 2x^{2} + x - 3\) at the point (2, 7) meets the x- axis at the point P. Find the coordinates of P.

Question 45 :

• WAEC 2007

(a) Write down the first four terms of the binomial expansion of \((2 - \frac{1}{2})^{5}\) in ascending powers of x.
(b) Use your expansion in (a) above to find, correct to two decimal places, the value of \((1.99)^{5}\).