0607 CAMBRIDGE INTERNATIONAL MATHEMATICS

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1 UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 0 question paper for the guidance of teachers 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/ Paper (Core), maximum raw mark 96 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 must be read in conjunction with the question papers and the report on the examination. Cambridge will not enter into discussions or correspondence in connection with these mark schemes. Cambridge is publishing the mark schemes for the May/June 0 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.

2 Page Mark Scheme: Teachers version Syllabus Paper IGCSE May/June (a) A, B, C, D, K, L, M 6 0% M for /0 seen 5 oe isw any cancelling or converting 0 (e) 6 o.e isw any cancelling or converting (0.46 or ) [6] (a) (i) Mr Ray $450, Dr Surd $40 M M B B or M for 0 and seen o.e (allow and 700 7) then M ratio : ft ft their 40 0, ft positive answers only 75 ft ft M for 70/00 their 450 oe [8] (a) x =, y = with working M for attempt to get equations for elimination. Condone one numerical slip. OR M for equations in the form y = or x =. Condone one numerical slip. OR M for sketch. A each answer Trial and improvement with both answers correct scores, otherwise 0. SC for correct answers without working (i) πr(r + h) final answer M for any correct partial factorisation or πr( ) s πr h = oe final answer M for correct re-arrangement seen πr M for correct division by πr seen 6x B for kx or 6x k [9] University of Cambridge International Examinations 0

3 Page Mark Scheme: Teachers version Syllabus Paper IGCSE May/June (a) Points plotted correctly BB (, 5) 4 condone poor notation oe M for change in y over change in x. Allow 4/ (e) ft ft ft only (f) y = x 7 oe ft M for y = their x + c or for substituting (5, ) into formula [9] 5 (a) (i) kg 9 (allow +/ 0.5) www M for 59 (+/ 0.5) or 50 to 5 seen 8 9 or oe ft 4 4 ft M for 8 or 9 seen ft from (a) [6] 6 (a) (i) trapezium 5 8 (iv) 9 08 M for 540/5 seen or 80 60/5 M for (5 ) 80 oe or 60/5 [7] University of Cambridge International Examinations 0

4 Page 4 Mark Scheme: Teachers version Syllabus Paper IGCSE May/June (a) (i) (accept ) Allow for other arc =. or. M for 0/60 π 5. or 50/60 π (accept ) M for sin5 = CB/0.6 oe (i.e. all steps, apart from final one) [7] 8 (a) (i) 6 08 ft M for full perimeter seen 57 or 57. M for 0 8 [5] 9 (a) 46(.0) (accept ) M for π.8 or 4 π or 49. (accept ) M for using π.8 or 4π.8 0. (accept 0.9 ) M for or 89.7 (accept ) ft M for π.8 their 0. ft their (e) 7 M for.8. 8 or or [0] 0 (a) Diagram BB mark for roughly the correct shape indep mark for the information (at least out of 4 correct) (0)5.8 accept (0)5 but only with working 4 M for recognizing the 90 angle may be marked on diagram. 80 M for tan = or better (first M is 00 implied).8 seen implies first M s M for adding 0. [6] University of Cambridge International Examinations 0

5 Page 5 Mark Scheme: Teachers version Syllabus Paper IGCSE May/June (a) B for cubic shape with a max and a min B for turning points in the correct quadrants. B for x-axis intercepts: one negative, one positive and one at origin. (, ) and (, 0.5) B B SC for correct points in wrong order x = 0,.8 (.8 to.8) B B their graph moved up their graph with vertical translation of [8] (a) 80 (accept 87 ) M for 5/5 (i) Positive Ruled line drawn through (80, their 80) ft B for passing through mean, B for positive gradient. [8] University of Cambridge International Examinations 0

6 Page 6 Mark Scheme: Teachers version Syllabus Paper IGCSE May/June (a) B for reasonable shape with each part of graph in approximately the correct place. One branch above and one branch below x-axis Top branch not touching y-axis Bottom branch cutting y-axis Penalty of if branches connected. x =, y = 0 B B ft ft x only x = 0, y = Line on graph Ruled line must have positive gradient and negative y-intercept (0.697,.(0)) (0.697.,.0 to.0), (4.(0),.(0)) (4.0 to 4.0,.0 to.0) B B ft only x (.(0), 4.(0)) (.0 to.0, 4.0 to 4.0) (.(0), 0.697) (.0 to.0, ) [7] University of Cambridge International Examinations 0

Mark Scheme (Results) Summer 2009

Mark Scheme (Results) Summer 2009 GCSE GCSE Mathematics (Linear) - 1380 Paper: 1380_2F 2 NOTES ON MARKING PRINCIPLES 1 Types of mark M marks: method marks A marks: accuracy marks B marks: unconditional