The content assessed by the examination papers and the type of questions are unchanged.

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Angela Benson
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1 Location Entry Codes As part of CIE s continual commitment to maintaining best practice in assessment, CIE has begun to use different variants of some question papers for our most popular assessments with extremely large and widespread candidature, The question papers are closely related and the relationships between them have been thoroughly established using our assessment expertise. All versions of the paper give assessment of equal standard. The content assessed by the examination papers and the type of questions are unchanged. This change means that for this component there are now two variant Question Papers, Mark Schemes and Principal Examiner s Reports where previously there was only one. For any individual country, it is intended that only one variant is used. This document contains both variants which will give all Centres access to even more past examination material than is usually the case. The diagram shows the relationship between the Question Papers, Mark Schemes and Principal Examiner s Reports. Question Paper Mark Scheme Principal Examiner s Report Introduction Introduction Introduction First variant Question Paper First variant Mark Scheme First variant Principal Examiner s Report Second variant Question Paper Second variant Mark Scheme Second variant Principal Examiner s Report Who can I contact for further information on these changes? Please direct any questions about this to CIE s Customer Services team at: international@cie.org.uk

2 UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 008 question paper 0580/058 MATHEMATICS 0580/ and 058/ Paper (Extended), maximum raw mark 70 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. All Examiners are instructed that alternative correct answers and unexpected approaches in candidates scripts must be given marks that fairly reflect the relevant knowledge and skills demonstrated. Mark schemes must be read in conjunction with the question papers and the report on the examination. CIE will not enter into discussions or correspondence in connection with these mark schemes. CIE is publishing the mark schemes for the May/June 008 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.

3 Page Mark Scheme Syllabus Paper IGCSE May/June / and 59, independent of each other x M 00 6x 0x 5x M + oe fractions with common denom. not decimals 4 (a) 870 (b) (n + 3) + cao Allow n + 6n + 0, (n + + ) +, (n + 4) + oe 5 $3.3 cao M 45 /.06 or (3...) Allow 3, 3., 3.3 for M (a) cao M correct decimals seen ( ) First and third must be to at least 5sf Accept these decimals in answer space (b) 000 Allow x B 9 B x terms must be multiplied 9 y = x M (m=) oe B (c=) or M A y 8 = ( x 6)or y 5 = ( x 0) Allow 3/6 for the A y = x + 5 or y x = 0 oe 0 r = 8 h = 4 cao www 3 M Length scale factor of 6 used or stated Al Al (±) M = (x) + x.x.x.cos0 oe M 44 = 7x (a) B P and S not intersecting. Two sets must be labelled Three intersecting circles will have P S empty. (b) 4 from the number of elements in the shaded area 3 x < 3 or M moves completed correctly M more moves completed correctly UCLES 008

4 Page 3 Mark Scheme Syllabus Paper IGCSE May/June / cm 5.5 cm.5 cm Line in correct place; bisects rectangle Line cm long in correct place circles in correct place 4 Not freehand (, 3) www 3 M consistent multiplication and subtraction/addition A A Allow x = and y = 3 (, k) or (k, 3) scores marks ONLY if M is scored B M M x 3 = oe fraction, decimal, percentage x 4 two moves completed correctly two more correct moves completed 8 (a) 4 (b) x 3 6x + x 9 M attempting to double f(x) and (c) x + M valid method 9 (a) (i) Triangle (, )(, 3)( 3, ) M for one correct vertex of the triangle drawn on the diagram (ii) Reflection in y = x (b) 0 0 M for the word reflection A y = x oe Combined transformation must be fully correct to the final answer but once for the detail (e.g. centre, angle, etc) B each column or M solving two pairs of sim. equations A all correct in answer space 0 (a) M (60 or 00 ) π 95/360 M subtracting the two areas above (b) 3300 (a) multiplied by.8 (c) (i) (b) 0 9 (ii) M (c)(i) /.5 UCLES 008

5 Page 4 Mark Scheme Syllabus Paper IGCSE May/June /058 (a).3 5 B identifying angle FAC M Al 000 (for AC) M tanx = 00/their 000 (or cosx = "000"/"00") Alternative method via DF and AF M "( )" Al 00 M sinx/(sin90) = 00/"00" oe cosine rule also possible (b) 33 3 M tany = 800/600 oe siny, cosy M an angle found in (b) + 80 written in working UCLES 008

6 UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 008 question paper 0580/058 MATHEMATICS 0580/ and 058/ Paper (Extended), maximum raw mark 70 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. All Examiners are instructed that alternative correct answers and unexpected approaches in candidates scripts must be given marks that fairly reflect the relevant knowledge and skills demonstrated. Mark schemes must be read in conjunction with the question papers and the report on the examination. CIE will not enter into discussions or correspondence in connection with these mark schemes. CIE is publishing the mark schemes for the May/June 008 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.

7 Page Mark Scheme Syllabus Paper IGCSE May/June / and 6, independent of each other 3x M x 4x 7x M + oe fractions with common denom. not decimals 4 (a) 40 (b) (n + 4) + cao Allow n + 6n + 7, (n ) +, (n + 5) + oe 5 $308.4 cao M 330 /.07 or ( ) Allow M 308, 308.4(...) (a) cao M correct decimals seen ( ) First and third must be to at least 5sf Accept these decimals in answer space (b) 000 Allow x 3 B 8 B x 3 terms must be multiplied 9 y = x M (m=) 6 0 oe B (c=) 7 or M A y 0 = ( x 6)or y 7 = ( x 0) Allow 3/6 for the A y = x + 7 or y x = 4 oe 0 r = 4 h = 36 cao www 3 M Length scale factor of 6 used or stated Al Al (±) 7. 3 M 6 = (3x) + x.3x.x.cos0 oe M 676 = 3x (a) B P and S not intersecting. Two sets must be labelled Three intersecting circles will have P S empty. (b) 4 from the number of elements in the shaded area 3 x < 3 or M moves completed correctly M more moves completed correctly UCLES 008

8 Page 3 Mark Scheme Syllabus Paper IGCSE May/June / cm 5.5 cm A.5 cm Line A in correct place; bisects rectangle Line cm long in correct place circles in correct place 4 Not freehand (, 3) www 3 M consistent multiplication and subtraction/addition A A Allow x = and y = 3 (, k) or (k, 3) scores marks ONLY if M is scored B M M x 3 = oe fraction, decimal, percentage x 4 two moves completed correctly two more correct moves completed 8 (a) 7 (b) x 3 6x + x 7 M attempting to double f(x) and 3 (c) x + 3 M valid method 9 (a) Triangle (, )(, 3)( 3, ) M for one correct vertex of the triangle drawn on the diagram (b) Reflection in y = x 0 0 M for the word reflection A y = x oe Combined transformation must be fully correct to the specified answer but once for the details (e.g. centre, angle, etc) B each column or M solving two pairs of sim. equations A all correct in matrix 0 (a) M (60 or 00 ) π 95/360 M subtracting the two areas above (b) 3300 (a) multiplied by.8 (c) (i) (b) 0 9 (ii) M (c)(i) /.5 UCLES 008

9 Page 4 Mark Scheme Syllabus Paper IGCSE May/June /058 (a).3 5 B identifying angle FAC M Al 000 (for AC) M tanx = 00/their 000 (or cosx = "000"/"00") Alternative method via DF and AF M "( )" Al 00 M sinx/(sin90) = 00/"00" oe cosine rule also possible (b) 33 3 M tany = 800/600 oe siny, cosy M an angle found in (b) + 80 written in working UCLES 008

0607 CAMBRIDGE INTERNATIONAL MATHEMATICS

0607 CAMBRIDGE INTERNATIONAL MATHEMATICS UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the October/November 010 question paper for the guidance of teachers 0607 CAMBRIDGE