Further Mathematics 2007 Waec Past Questions and Answers

Question 21 :

• WAEC 2007

A bag contains 2 red and 4 green sweets of the same size and shape. Two boys pick a sweet each from the box, one after the other, without replacement. What is the probability that at least a sweet with green wrapper is picked?

A. \(\frac{1}{5}\)
B. \(\frac{2}{5}\)
C. \(\frac{8}{15}\)
D. \(\frac{14}{15}\)

Question 22 :

• WAEC 2007

A body is acted upon by two forces \(F_{1} = (5 N, 060°)\) and \(F_{2} = (10 N, 180°)\). Find the magnitude of the resultant force.

A. 18.75 N
B. 15.75 N
C. 9.50 N
D. 8.66 N

Question 23 :

• WAEC 2007

The equation of a curve is given by \(y = 2x^{2} - 5x + k\). If the curve has two intercepts on the x- axis, find the value(s) of constant k.

A. \(k = \frac{8}{25}\)
B. \(k = \frac{25}{8}\)
C. \(k < \frac{25}{8}\)
D. \(k > \frac{25}{8}\)

Question 24 :

• WAEC 2007

Find the value of p for which \(x^{2} - x + p\) becomes a perfect square.

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

Question 25 :

• WAEC 2007

The polynomial \(2x^{3} + 3x^{2} + qx - 1\) has the same reminder when divided by \((x + 2)\) and \((x - 1)\). Find the value of the constant q.

A. -11
B. -9
C. -3
D. 4