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General Mathematics Paper 2,Nov/Dec. 2007  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 Main
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Question 6

(a) A contractor employs 12 men for 441 days and pays each man $6.50
                                                                      2
per day. He employs some other 4 women for 36 days and pays each of them $3.00 per day. Find:

(i) his total wage bill;
(ii) the percentage of the total wage bill paid to the women.

(b) Simplify: 2 log 8 + log 4 – log 16
                          log 32

_____________________________________________________________________________________________________

observation

(a).        This question was attractive to most candidates and they did very well.

(b).        The case here was different as many candidates exhibited lack of the
             knowledge of laws of logarithms. 
The numerator  = log   64 x 4    =  log16 or 4log2
                                             16
The denominator = log 32 or 5 log 2
Thus, the expression simplifies to 4log2   =   4/5
                                                             5log2       

Some candidates applied Laws of logarithm here to get 4log2 – 5log2 which is wrong.


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