CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the October/November 2012 series 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/02 Paper 2 (Extended), maximum raw mark 40 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 October/November 2012 series for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level components and some Ordinary Level components. Page 2 Mark Scheme IGCSE – October/November 2012 Syllabus 0607 Paper 02 1 3 y( x − 2 z) 2 B2 B1 for 3( xy − 2 yz ) or y (3 x − 6 z ) 2 (a) 12.5 2 B2 M1 for 40 3 B3 M2 for 46 ÷ 1.15 oe or M1 for recognising 46 = 115% soi [0]8 13 1 B1 3.5 2 B2 Accept 8 13 am and other possible forms of time of day. 1.4 M1 for (× 60) oe 24 4 8.1 × 10– 8 2 B2 B1 for 0.81 × 10 −7 5 (a) 16 2 3 (45, 3) or (π/4, 3) 2 B2 M1 for 2 B1B1 8 27 1 oe 2 2 B2 2 B2 27 or or better i.e. B1 for (3 2 )3 8 one correct first step. B1 for log 2 3 − log 4 2 or better 12 2 B2 M1 for y = 1FT B1FT x−2 final answer x −1 2 B2 (i) 3 5 1 B1 (ii) (– 2, 1) 1 B1 2 B2 (b) 3 (a) (b) (b) 6 (a) (b) 7 (a) oe x (b) 2 8 9 (a) (b) 10 (a) p+ (b) r oe p = cosx or better 8 n B1 for 1 k x FT their k only if k≠1 k x or k x 1 B1 2 B2 9 1 B1 14 2 B2 2 − 1 final answer k≠1 x −1 1 o.e. If final answer − x −1 x −1 spoiled, the M1 is still available M1 for M1 for recognising OM soi e.g. OP + PM 4 2 final answer (b) 11 (a) 1 2 250 [×100] oe 2000 M1 for × 2 −1 2 −1 M1 for 22 or 0.52 seen © Cambridge International Examinations 2012 Page 3 12 (a) (b) Mark Scheme IGCSE – October/November 2012 6 20 18 35 oe oe 2 B2 3 B3 Syllabus 0607 M1 for Paper 02 3 2 × 5 4 3 4 2 3 × + × 5 7 5 7 these products M2 for © Cambridge International Examinations 2012 or M1 for either of