Ib Degree or diploma Essay

M09/5/MATHL/HP1/ENG/TZ2/XX

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mathematics higher level PaPer you Thursday several May 2009 (afternoon) 2 hours iNsTrucTioNs To cANdidATEs Create your period number inside the boxes previously mentioned. do not open up this evaluation paper until instructed to do so. You are not acceptable access to any kind of calculator for this paper. section A: solution all of section A inside the spaces supplied. section N: answer most of section W on the solution sheets provided. Write your session quantity on each solution sheet, and attach those to this examination paper plus your cover sheet using the label provided. п‚џ At the end with the examination, indicate the number of linens used in the correct box in your cover piece. п‚џ unless of course otherwise set by the question, every numerical answers must be given accurately or right to three significant figures. п‚џ п‚џ п‚џ п‚џ п‚џ 0 0 candidate period number

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13 webpages В© foreign Baccalaureate organization 2009

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–2–

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Full marks are not actually awarded for any correct response with no doing work. Answers should be supported by operating and/or answers. Where a solution is wrong, some markings may be given for a correct method, offered this is displayed by written working. You are consequently advised showing all working. Section a Answer all the questions in the spots provided. Doing work may be continued below the lines, if necessary. 1 ) [Maximum mark: 5] If the function queen ( x) = times + kx 2 в€’ 7 by + is definitely divided simply by ( back button +1) the remaining is eight times the remainder that is located when the function is divided by ( x + 2). Get the value of k.............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

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–– installment payments on your [Maximum mark: 5]

M09/5/MATHL/HP1/ENG/TZ2/XX

The test a mass of a group of pupils are shown on the cumulative frequency graph below. 2 hundred 180 one hundred sixty Cumulative frequency 140 a hundred and twenty 100 70 60 45 20 zero 0 12 20 0 40 60 60 seventy 80 90 100

Test out Scores (a) (b) Estimation the median test score. The top a small portion of students receive a level A and the next greatest 20 % of pupils receive a quality B. Estimation (i) (ii) the minimum score required to obtain a quality A; the minimum rating required to get a grade N. [4 marks] [1 mark]

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start

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–4– 3. [Maximum draw: 6] A arbitrary variable includes a probability density function given by kx (2 − x), 0 ≤ x ≤ 2 farreneheit ( x) =  0, in other places.  (a) (b) Demonstrate that e = Find E ( X ).. 4

M09/5/MATHL/HP1/ENG/TZ2/XX

[4 marks] [2 marks]

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