ıM10/5/MATME/SP1/ENG/TZ1/XX 22107303 mathematics staNDaRD level PaPeR 1 Wednesday 5 May 2010 (afternoon) 1 hour 30 minutes iNSTrucTioNS To cANdidATES Write your session number in the boxes above. not open this examination paper until instructed to do so. do are not permitted access to any calculator for this paper. You Section A: answer all of Section A in the spaces provided. Section B: answer all of Section B on the answer sheets provided. Write your session number on each answer
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M11/5/MATME/SP1/ENG/TZ1/XX 22117303 mathematics staNDaRD level PaPeR 1 Wednesday 4 May 2011 (afternoon) 1 hour 30 minutes iNSTrucTioNS To cANdidATES candidate session number 0 0 Examination code 2 2 1 1 – 7 3 0 3 Write your session number in the boxes above. not open this examination paper until instructed to do so. do are not permitted access to any calculator for this paper. You Section A: answer all questions in the boxes provided. Section B: answer all questions on the
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M11/5/MATME/SP1/ENG/TZ1/XX 22117303 mathematics STANDARD level Paper 1 Candidate session number 0 0 Wednesday 4 May 2011 (afternoon) Examination code 2 1 hour 30 minutes 2 1 1 – 7 3 0 3 instructions to candidates Write your session number in the boxes above. not open this examination paper until instructed to do so. Do You are not permitted access to any calculator for this paper. Section A: answer all questions in the boxes
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M13/5/MATME/SP1/ENG/TZ1/XX 22137303 mathematics STANDARD level Paper 1 Candidate session number 0 0 Thursday 9 May 2013 (afternoon) Examination code 2 1 hour 30 minutes 2 1 3 – 7 3 0 3 instructions to candidates Write your session number in the boxes above. not open this examination paper until instructed to do so. Do You are not permitted access to any calculator for this paper. Section A: answer all questions in the boxes provided
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N10/5/MATME/SP1/ENG/TZ0/XX/M MARKSCHEME November 2010 MATHEMATICS Standard Level Paper 1 18 pages –2– N10/5/MATME/SP1/ENG/TZ0/XX/M This markscheme is confidential and for the exclusive use of examiners in this examination session. It is the property of the International Baccalaureate and must not be reproduced or distributed to any other person without the authorization of IB Cardiff. –3– N10/5/MATME/SP1/ENG/TZ0/XX/M Instructions to Examiners Abbreviations M (M)
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DIPLOMA DEL BI M07/5/MATME/SP2/ENG/TZ1/XX 22077304 mathematics staNDaRD level PaPeR 2 Tuesday 8 May 2007 (morning) 1 hour 30 minutes INSTRUcTIONS TO cANDIDATES not open this examination paper until instructed to do so. Do Answer all the questions. Unless otherwise stated in the question‚ all numerical answers must be given exactly or correct to three significant figures. 2207-7304 8 pages © IBO 2007 http://www.xtremepapers.net –2– M07/5/MATME/SP2/ENG/TZ1/XX Please
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MATME/PF/M12/N12/M13/N13 MATHEMATICS Standard Level The portfolio - tasks For use in 2012 and 2013 © International Baccalaureate Organization 2010 7 pages For final assessment in 2012 and 2013 –2– MATME/PF/M12/N12/M13/N13 CONTENTS Type I tasks Lacsap’s Fractions Circles Type II tasks Fish Production Gold Medal Heights INTRODUCTION What is the purpose of this document? This document contains new tasks for the portfolio in mathematics SL. These tasks
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MATME/PF/M12/N12/M13/N13 MATHEMATICS Standard Level The portfolio - tasks For use in 2012 and 2013 © International Baccalaureate Organization 2010 7 pages For final assessment in 2012 and 2013 2 MATME/PF/M12/N12/M13/N13 C O N T E N TS T y p e I t as k s Circles T y p e I I t as k s Fish Production Gold Medal Heights INTRODUC TI ON W h a t is t h e p u r p ose of t h is d oc u m e n t ? This document contains new tasks for the portfolio in mathematics SL
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– 6 – MATME/PF/M11/N11/M12/N12 For final assessment in 2011 and 2012 STELLAR NUMBERS SL TYPE I Aim: In this task you will consider geometric shapes which lead to special numbers. The simplest example of these are square numbers‚ 1‚ 4‚ 9‚ 16‚ which can be represented by squares of side 1‚ 2‚ 3 and 4. The following diagrams show a triangular pattern of evenly spaced dots. The numbers of dots in each diagram are examples of triangular numbers (1‚3‚6‚)…. 1 3 6 10 15 Complete the triangular numbers
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–4– MATME/PF/M11/N11/M12/N12 INFINITE SUMMATION SL TYPE I Aim: In this task‚ you will investigate the sum of infinite sequences tn ‚ where t0 = 1‚ t1 = ( x ln a ) ( x ln a ) 2 ( x ln a )3 ( x ln a) n … ‚ tn = …. ‚ t2 = ‚ t3 = n! 1 2 ×1 3 × 2 ×1 A notation that you may find helpful in this task is the factorial notation n ! ‚ defined by n= n(n − 1)(n − 2)....3 × 2 × 1 ! e.g. 5! = 5 × 4 × 3 × 2 ×1 (= 120) Note that 0 ! = 1 Consider the following sequence of
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