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MARKING SCHEME MATH
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    CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Ordinary Level MARK SCHEME for the May/June 2013 series 4024 MATHEMATICS (SYLLABUS D)   4024/11 Paper 1, maximum raw mark 80 This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the examination. It shows the basis on which Examiners were instructed to award marks. It does not indicate the details of the discussions that took place at an Examiners’ meeting before marking began, which would have considered the acceptability of alternative answers. Mark schemes should be read in conjunction with the question paper and the Principal Examiner Report for Teachers. Cambridge will not enter into discussions about these mark schemes. Cambridge is publishing the mark schemes for the May/June 2013 series for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level components and some Ordinary Level components. www.maxpapers.com  Page 2 Mark Scheme Syllabus Paper GCE O LEVEL – May/June 2013 4024 11 © Cambridge International Examinations 2013 Qu Answers Mark Part Marks 1 (a) 100 1 (b) 475 1 2 (a) 0.06 oe 1 (b) 50 1 3 (a) 3.556 1 (b) 12000 1 4 (a) < 1 (b) (0) . 07 1 5 16 2 B1 for  PX   or  XQ  = 8 or M1 for  PX  2  = 10 2  – 6 2  oe 6 207  oe isw 2 B1 for 2058 +  oe seen 7 1 : 60 000 2 C1 for 1 : figs 6 or M1 for 4.5 : 270 000 oe 8 (a) 148 soi 1 (b) 1312 −  1 9 (a) 18 1 (b) 90 2 M1 for  x  - 10010  x  = 81 or better or B1 for figs 981  seen 10 (a) 55 1 (b) mbma −  oe 2 M1 for b = ma – mc or mb = a  – c  B1 ft for their c  after M0 11 (a) square 1 (b) trapezium 1 (c) kite 1 www.maxpapers.com  Page 3 Mark Scheme Syllabus Paper GCE O LEVEL – May/June 2013 4024 11 © Cambridge International Examinations 2013 12 (a) 619 1 (b) 196 1 (c) 169, 196 or 961 1 13 (a) 25 2 M1 for a correct area (b) 1.25 oe 1 Accept 20)( a ft 14 (a) 32˚ 1 (b) 26˚ 1 Accept 90 – ( (a) + 32 (c) 58˚ 1 Accept 90 – 21 ( (a) + 32) 15 (a) (i) Bisector of C  D A )   1 (ii) Arc radius 5 centre  B . 1 (b) Correct region shaded. 1 16 (a) 4 1 (b) 5400 2 C1 for figs 54 M1 for 2 3  : 3 3  seen in any form. 17 (a) 6.24 × 10 3 1 (b) 8×10 -2 2 C1 for figs 8 or for any correct value however expressed. 18 (a) 30 1 (b) 66 1 (c) 30 2 M1 for an attempt at 78 – 48. 19 (a) 97 π    2 M1 for 2 36040 r  π     (b) (i) 6 32 π 1 (ii) 1511  1 www.maxpapers.com  Page 4 Mark Scheme Syllabus Paper GCE O LEVEL – May/June 2013 4024 11 © Cambridge International Examinations 2013 20 (a) (i) 26 1 (ii) 6 1 (iii) 16 1 (b)  – 2 1 21 (a) (  R  =) 3  p 3  seen 1 (b) 4 2 M1 for 192 = 3  p 3  oe (c) (Diagram) 2 1 22 (a) Correct triangle C 1 (b) Correct triangle D 2 C1 for two vertices correct or for triangle of the correct size and orientation.  (c)      3001  1 23 (a) (i) 64  oe 1 (ii) e.g.  y  = 64  x  + 3 oe 1 (iii)  y  = 3  x  + 2 1 (b)  y  ≥ 2  y ≤ 64  x  + 2 2 C1 for one of these. 24 (a) (i)      3196  1 (ii) 51     −  2131  2 B1 for det = 5 soi or for k      −  2131   (b) 1, 2, 3,4,6,8,12 2 B1 for 5 correct with no extras (c)  N M   ∩′  1 www.maxpapers.com
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