Waec Further Mathematics Past Questions and Answers

Question 346:

• WAEC 2009

The roots of the quadratic equation \(2x^{2} - 5x + m = 0\) are \(\alpha\) and \(\beta\), where m is a constant. Find \(\alpha^{2} + \beta^{2}\) in terms of m.

A. \(\frac{25}{4} - m\)
B. \(\frac{25}{4} - 2m\)
C. \(\frac{25}{4} + m\)
D. \(\frac{25}{4} + 2m\)

Question 347:

• WAEC 2009

Given that \(2^{x} = 0.125\), find the value of x.

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

Question 348:

• WAEC 2009

The gradient of point P on the curve \(y = 3x^{2} - x + 3\) is 5. Find the coordinates of P.

A. (1, 5)
B. (1, 7)
C. (1, 13)
D. (1, 17)

Question 349:

• WAEC 2009

An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre of a circle. Calculate the radius of the circle.

A. 12.6 cm
B. 12.0 cm
C. 9.6 cm
D. 9.0 cm

Question 350:

• WAEC 2009

The first term of a geometric progression is 350. If the sum to infinity is 250, find the common ratio.

A. \(\frac{-5}{7}\)
B. \(-\frac{2}{5}\)
C. \(\frac{2}{5}\)
D. \(\frac{5}{7}\)