(a) Given that \(\log_{10} p = a, \log_{10} q = b\) and \(\log_{10} s = c\), express \(\log_{10} (\frac{p^{\frac{1}{3}}q^{4}}{s^{2}}\) in terms of a, b and c.

(b) The radius of a circle is 6cm. If the area is increasing at the rate of 20\(cm^{2}s^{-1}\), find, leaving the answer in terms of \(\pi\), the rate at which the radius is increasing.

A major assumption in a perfectly competitive market is that

• A. the number of buyers and sellers is small
• B. individuals cannot influence prices
• C. the quality of products remains the same
• D. prices will always remain constant

''I have read Shakespeare' is an example of

• A. litotes
• B. paradox
• C. parody
• D. metonymy

The factors affecting formation of soil include the following except

• A. organisms
• B. time
• C. topography
• D. catena

choose the word or group of words that is nearest in meaning to the underlined word as it is used in the sentence.

A good student should beinquisitive

• A. hardworking
• B. busy
• C. curious
• D. studious

Crop rotation decreases the incidence of pests by

• A. breaking life cycles of pests
• B. attracting pest predators
• C. sterilizing the soil
• D. maintaining soil fertility

State three properties of a semiconductor.

The oxidation number of boron in NaBH₄ is

• A) -3
• B) -1
• C) +1
• D) +3

Which of the following was not listed by James as a case of partiality in the Church

• A. Servility to influential members
• B. Shabby treatment accorded to the poor
• C. Observance of some of the laws
• D. Love for one's neigbours

The national income is the

• A. Gross Domestic Product at market prices
• B. Gross National product at factor cost
• C. Net National Product at factor cost
• D. Net National Product at market prices