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General Mathematics Paper 2,May/June. 2009  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 Main
General Comments
Weakness/Remedies
Strength








Question 6

(a)If log5 = 0.6990, log7 = 0.8451 and log8 = 0.9031, evaluate:

log().

(b) For a musical show, x children were present. There were 60 more adults than children. An adult paid D5 and a child D2. If a total of D1280 was collected, calculate the

(i) value of x;

(ii) ratio of the number of children to the number of adults;

(iii) average amount paid per person;

(iv) percentage profit if the organizers spent D720 on the show.
_____________________________________________________________________________________________________
Observation

Candidates’ performance in part (a) of the question was said to be satisfactory. They exhibited a good understanding of the theories of logarithms and were able to apply them correctly. They were able to express the figures in terms of 5, 7 and 8 thus: log () =  log( ) which on applying the laws of logarithms gives 4log 7 =    4 x 0.8451 = 3.3804.

In the part (b), candidates’ performance was reportedly fair. A good number of them were able to get the equation 2x + 5(x + 60) = 1280. Solving it gave x = 140. The ratio was given by  = 7:10. Average cost =  = D3.76. The percentage profit =  x 100 = 77.8%.

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