Mathematics Igcse 0580 Mark Scheme
w w w e tr .X m eP
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
International General Certificate of Secondary Education
e ap .c rs om
MARK SCHEME for the May/June 2012 question paper for the guidance of teachers
0580 MATHEMATICS
0580/31 Paper 3 (Core), maximum raw mark 104
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 2012 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.
Page 2
Mark Scheme: Teachers’ version IGCSE – May/June 2012
Syllabus 0580
Paper 31
Abbreviations cao correct answer only cso correct solution only dep dependent ft follow through after error isw ignore subsequent working oe or equivalent SC Special Case www without wrong working soi seen or implied Qu. 1 (a) (b) (c) Answers 950 7 cao 66 Mark 2 2 3 Part Mark M1 for 2000 ÷ (19 + 21) M1 for
265 seen oe e.g. adding up 37s 37
M1 for 54 seen M1 indep for 80 seen Or M2 for
33 67 × 200 or M1 for × 200 100 100
(d)
41
4
M1 for (500 × 1.04) × (1.04) oe A1 for 540.8 M1 dep for ‘their 540.8’ – 500 B1 ft for ‘their 40.8’ rounded to 41 Alt Method M1 for [500 + (500×0.04)] × 0.04 M1 dep ‘their 20’ + ‘their 20.8’ A1 for 40.8 B1 ft for ‘their 40.8’ rounded to 41
2 (a) (i) Image at (–5,2), (–2,2), (–2,4), (–3,4), (–3,3), (–5,3) (ii) Image at (2,4), (2,6), (–1,6), (–1,5), (1,5), (1,4) (iii) Image at (1,1), (3,1), (3, –1), (7, –1), (7, –3),
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
International General Certificate of Secondary Education
e ap .c rs om
MARK SCHEME for the May/June 2012 question paper for the guidance of teachers
0580 MATHEMATICS
0580/31 Paper 3 (Core), maximum raw mark 104
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 2012 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.
Page 2
Mark Scheme: Teachers’ version IGCSE – May/June 2012
Syllabus 0580
Paper 31
Abbreviations cao correct answer only cso correct solution only dep dependent ft follow through after error isw ignore subsequent working oe or equivalent SC Special Case www without wrong working soi seen or implied Qu. 1 (a) (b) (c) Answers 950 7 cao 66 Mark 2 2 3 Part Mark M1 for 2000 ÷ (19 + 21) M1 for
265 seen oe e.g. adding up 37s 37
M1 for 54 seen M1 indep for 80 seen Or M2 for
33 67 × 200 or M1 for × 200 100 100
(d)
41
4
M1 for (500 × 1.04) × (1.04) oe A1 for 540.8 M1 dep for ‘their 540.8’ – 500 B1 ft for ‘their 40.8’ rounded to 41 Alt Method M1 for [500 + (500×0.04)] × 0.04 M1 dep ‘their 20’ + ‘their 20.8’ A1 for 40.8 B1 ft for ‘their 40.8’ rounded to 41
2 (a) (i) Image at (–5,2), (–2,2), (–2,4), (–3,4), (–3,3), (–5,3) (ii) Image at (2,4), (2,6), (–1,6), (–1,5), (1,5), (1,4) (iii) Image at (1,1), (3,1), (3, –1), (7, –1), (7, –3),