Waec Further Mathematics Past Questions and Answers

Question 211:

• WAEC 2007

Given that \(\log_{2} y^{\frac{1}{2}} = \log_{5} 125\), find the value of y.

A. 16
B. 25
C. 36
D. 64

Question 212:

• WAEC 2007

Two vectors m and n are defined by \(m = 3i + 4j\) and \(n = 2i - j\). Find the angle between m and n.

A. 97.9°
B. 79.7°
C. 63.4°
D. 36.4°

Question 213:

• 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 214:

• 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 215:

• WAEC 2007

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

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