Mathematics HL - May 2005 - TZ2 - P1

Mathematics HL - May 2005 - TZ2 - P1 - 2 hours IB DIPLOMA...

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IB DIPLOMA PROGRAMME PROGRAMME DU DIPLÔME DU BI PROGRAMA DEL DIPLOMA DEL BI M05/5/MATHL/HP1/ENG/TZ2/XX MATHEMATICS HIGHER LEVEL PAPER 1 Tuesday 3 May 2005 (afternoon) INSTRUCTIONS TO CANDIDATES ± Write your session number in the boxes above. ± Do not open this examination paper until instructed to do so. ± Answer all the questions in the spaces provided. ± Unless otherwise stated in the question, all numerical answers must be given exactly or to three signiFcant Fgures. 2205-7207 15 pages 2 hours Candidate session number 0 0 22057207 0115
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2205-7207 – 2 – Maximum marks will be given for correct answers. Where an answer is wrong, some marks may be given for correct method, provided this is shown by written working. Working may be continued below the box, if necessary. Solutions found from a graphic display calculator should be supported by suitable working, e.g. if graphs are used to Fnd a solution, you should sketch these as part of your answers. 1. The position vectors of points P and Q are 2 3 1 and 2 2 4 respectively. The origin is at O. Find (a) the angle POQ $ ; (b) the area of the triangle OPQ. Working: Answers: (a) (b) 2. Solve the equation e 2 1 2 x x + = 2. Working:
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Mathematics HL - May 2005 - TZ2 - P1 - 2 hours IB DIPLOMA...

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