(a) Simplify : \(625^{\frac{3}{8}} \times 5^{\frac{1}{2}} \div 25\)

(b) Solve the following equations correct to one decimal place.

(i) \(\tan (\theta + 25)° = 5.145\)

(ii) \(5\cos \theta - 1 = 0\), where \(0° \leq \theta \leq 90°\).

The determination of the matrix \(\begin{pmatrix} 1 & 3 & 3 \\ 4 & 5 & 6\\ 2 & 0 & 1 \end{pmatrix}\) is

• A. -67
• B. -57
• C. -3
• D. 3

The magnetic force on a charged particle moving with velocity v is

• A. proportional to both the magnitude of the charge and the velocity v
• B. independent of the magnitude of the charge
• C. proportional to the velocity v only
• D. proportional to the magnitude of the charge only

The low density of settlements in the Gindi river basin is best explained by the

• A. Rough topograghy
• B. Dense forest
• C. Poor transport network
• D. Scarcity of farmland

Evaluate \(\frac{1}{1 - \sin 60°}\), leaving your answer in surd form.

• A. \(1 - \sqrt{3}\)
• B. \(2 - \sqrt{3}\)
• C. \(4 - 2\sqrt{3}\)
• D. \(4 + 2\sqrt{3}\)

The roots of a quadratic equation are \((3 - \sqrt{3})\) and \((3 + \sqrt{3})\). Find its equation.

• A. \(x^{2} - 6x - 9 = 0\)
• B. \(x^{2} - 6x + 6 = 0\)
• C. \(x^{2} + 6x - 9 = 0\)
• D. \(x^{2} + 6x + 6 = 0\)

Lodestone is a natural magnet, it points at

• A. N – W when suspended freely
• B. N–S when suspended freely
• C. S – E when suspended freely
• D. S–W when suspended freely

The lack of access to food in some parts of the world emanates from

• A. Educational inequality
• B. Poor transport system
• C. Economic inequality
• D. Low development of natural resources

Complete the series English, French, Hindi, Arabic

• A. Swahili
• B. Language
• C. Dialect
• D. Africa

This question is based on William Shakespeare’s Romeo and Juliet.

__________decides that Juliet should marry a young man named Paris, who has been asking for her hand

• A. Friar Laurence
• B. Lord Capulet
• C. Balthasar
• D. Friar John