Waec Further Mathematics 2007 Past Questions and Answers

Question 16:

• WAEC 2007

Find the area of the circle whose equation is given as \(x^{2} + y^{2} - 4x + 8y + 11 = 0\).

A. \(3\pi\)
B. \(6\pi\)
C. \(9\pi\)
D. \(12\pi\)

Question 17:

• WAEC 2007

Two bodies of masses 8 kg and 5 kg travelling in the same direction with speeds x m/s and 2 m/s respectively collide. If after collision, they move together with a speed of 3.85 m/s, find, correct to the nearest whole number, the value of x.

A. 2
B. 5
C. 8
D. 13

Question 18:

• WAEC 2007

Calculate in surd form, the value of \(\tan 15°\).

A. \(2 + \sqrt{3}\)
B. \(1 + \sqrt{3}\)
C. \(\sqrt{3} - 1\)
D. \(2 - \sqrt{3}\)

Question 19:

• WAEC 2007

Evaluate \(\lim \limits_{x \to 3} \frac{x^{2} - 2x - 3}{x - 3}\)

A. 4
B. 3
C. 2

Question 20:

• WAEC 2007

If \(f(x) = mx^{2} - 6x - 3\) and \(f'(1) = 12\), find the value of the constant m.

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