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MATHEMATICS (Two hours and a half) Answer to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent reading the question paper. The time given at the head of this paper is the time allowed for writing the answers. Attempt all the questions in Section A and any 4 questions from Section B. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in loss of marks. The intended marks for questions is given in the brackets [ ]. Mathematical tables will be provided. SECTION A (40 marks) Attempt all the questions from this section Question 1 (a) Solve the following inequality and graph the solution on a number line. 2x 3 x + (b) If A = [ (i) sec 60 3 tan 45 1 3 cos 90 0 ] and B = [ sin 90 2 [3] 2 x, x R. 5 cot 45 ], Find: 3 sin 90 AB (ii) 2A 3B (iii) A2 [3] (c) A man sold some 100 shares, paying 9% dividend at 10% discount and invested the proceeds (excluding his dividend) in 15% 50 shares at 33. Had he sold his shares at 10% premium instead of 10% discount, he would have earned 450 more. Find: (i) The number of shared sold by him. (ii) The sale proceeds. (iii) The number of shares bought by him. (iv) Percentage return on his original investment. [4] 1 Turn Over
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