DHS_H2_MATHS_P1_QP

This document consists of 7 printed pages (including this cover page). Name: Index Number: Class: DUNMAN HIGH SCHOOL Preliminary Examination Year 6 MATHEMATICS 9740/01 (Higher 2) 17 September 2014 Paper 1 3 hours Additional Materials: Answer Paper List of Formulae (MF15) READ THESE INSTRUCTIONS FIRST Write your Name, Index Number and Class on all the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use a soft pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all the questions. Give non-exact numerical answers correct to 3 signi ficant 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 a 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, attach the question paper to the front of your answer script. The total number of marks for this paper is 100. For teachers’ use: Qn Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Total Score Max Score 4 6 7 8 8 8 9 12 11 13 14 100

2 © DHS 2014 Year 6 H2 Mathematics Preliminary Examination [Turn over 1 (i) A fisherman has 800kg of fish, consis ting of mackerel, salmon and tuna. He may choose to sell all his fish at either Market A or Market B. The rates offered by the respective market s and his total returns are as follows: Market Price (in dollars) per kg Total Returns (in dollars) Mackerel Salmon Tuna A 7 21 39 20 300 B 5 23 49 23 900 Determine the weight of the salmon that the fisherman has. [3] (ii) Another fisherman has 600kg of the same t ypes of fish and he claims that he can obtain the exact same total returns as the fisherman in part (i) at the respective markets. Determine whether his claim is possible. [1] 2 (a) The diagram below shows the curve with equation f( )yx which passes through the origin O, has a vertical asymptote 2x and a stationary point at 15, .4  Sketch the graph of 2 f( ) ,y x indicating the coordinates of the points where the graph crosses the axes, statio nary point(s) and the equations of any asymptotes. [2] x = 2 O y x f( )yx

© DHS 20 3 4 014 (b) The ( 1 4 x of the Given that (i) Sho w (ii) By f u terms (iii) By s o in (ii) 4 dec Do not use R