General Mathematics Paper 2,Nov/Dec. 2010
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Question 8

Using ruler and a pair of compasses only:
(a) construct a triangle PQRwith /PQ/ = lOcm, ∠QPR = 90° and ∠PQR = 30°;
(b) (i) construct I, the locus of all points equidistant from PR and QR;
(ii) locate M, the point where / intersects with po,
(c) (i) with M as centre and radius MP, draw a circle;
(ii) calculate the area of the circler correct to one decimal place.
[Take Π= 22/7].

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Observation

The reported stated that although this question was quite unpopular among the candidates, there appeared to be an improvement in the performance of the candidates. They were reported to have constructed the triangle correctly. However, majority of them were unable to obtain the required locus hence could not go further. Teachers are encouraged not to relent in their effort at teaching this topic. Candidates are also encouraged to draw sketches before they began to construct as this will serve as a guide to what you are expected to do.