Paper 1 October/November 2007 MATHEMATICH (9709/1) A Levels
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a) A circle is divided into 6 sectors in such a way that the angles of the sectors are in arithmetic progression. The angle of the largest sector is 4 times the angle of the smallest sector. Given that the radius of the circle is 5 cm, find the perimeter of the smallest sector.
b) The first, second and third terms of a geometric progression are $2k + 3$, $k + 6$ and $k$, respectively.
Given that all the terms of the geometric progression are positive,…