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Unformatted text preview: ANGLOCHINESE JUNIOR COLLEGE MATHEMATICS DEPARTMENT MATHEMATICS Higher 2 Paper 1 19 August 2010 JC 2 PRELIMINARY EXAMINATION Time allowed : 3 hours Additional Materials: List of Formulae (MF15) READ THESE INSTRUCTIONS FIRST Write your Index number, Form Class, graphic and/or scientific calculator model/s on the cover page. Write your Index number and full name on all the work you hand in. Write in dark blue or black pen on your answer scripts. You may use a soft pencil for any diagrams or graphs. Do not use paper clips, highlighters, glue or correction fluid. Answer all the questions. Give nonexact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. You are expected to use a graphic calculator. Unsupported answers from a graphic calculator are allowed unless a question specifically states otherwise. Where unsupported answers from a graphic calculator are not allowed in the question, you are required to present the mathematical steps using mathematical notations and not calculator commands. You are reminded of the need for clear presentation in your answers. The number of marks is given in brackets [ ] at the end of each question or part question. At the end of the examination, fasten all your work securely together. This document consists of 6 printed pages. [Turn Over 9740 / 01 APDF Merger DEMO : Purchase from www.APDF.com to remove the watermark AngloChinese Junior College H2 Mathematics 9740: 2010 JC 2 Preliminary Examination Paper 1 Page 2 of 6 ANGLOCHINESE JUNIOR COLLEGE MATHEMATICS DEPARTMENT JC2 Preliminary Examination 2010 MATHEMATICS 9740 Higher 2 Paper 1 Calculator model : _____________________ Arrange your answers in the same numerical order. Place this cover sheet on top of them and tie them together with the string provided. Question no. Marks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 / 100 Index No: Form Class: ___________ Name: _________________________ AngloChinese Junior College H2 Mathematics 9740: 2010 JC 2 Preliminary Examination Paper 1 Page 3 of 6 1 The n th term of a sequence is given by ( ) 1 2 1 n n u n + = , for 1 n . The sum of the first n terms is denoted by S n . Use the method of mathematical induction to show that ( ) ( ) 1 1 1 2 n n n n S + + = for all positive integers n . [4] 2 The 3 flavours of puddings produced by a dessert shop are mango, durian and strawberry. A mango pudding requires 5g of sugar and 36ml of water. A durian pudding requires 6g of sugar and 38ml of water. A strawberry pudding requires 4g of sugar and 40ml of water. The puddings are sold in pairs of the same type at $1.60, $2.20 and $1.80 for mango, durian and strawberry respectively....
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 Fall '11
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