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w w ap eP m e tr .X w CAMBRIDGE INTERNATIONAL EXAMINATIONS 0580 MATHEMATICS 0580/12 Paper 1 (Core), maximum raw mark 56 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. om .c MARK SCHEME for the May/June 2013 series s er International General Certificate of Secondary Education Page 2 Mark Scheme IGCSE – May/June 2013 Syllabus 0580 Paper 12 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 Answers Mark 1 0.65 cao 1 2 343 1 3 29 1 4 10800 1 5 cuboid 1 6 Overlapping class intervals oe 1 (a) Any acute angle with angle indicated 1 (b) Obtuse 1 8 10, 15 1, 1 9 0.25 oe 2 7 10 (a) (b) 24 42 − 1 9 2 12 (a) 5.17225... 1 13 (a) (b) 14 If 10 not correct allow SC1 for x, x + 5 M1 for 1– (0.45 + 0.3) or better or SC1 for 0.52 as final answer 1 10.5 www 5.2 Accept [rectangular] prism. 1 11 (b) Part Marks 1FT 108° 1 3 × 108 ≠ 360 oe 1 Enlargement [Centre] (5,4) [Scale factor] 3 1 1 1 M1 for 42 = FT their (a) © Cambridge International Examinations 2013 1 2 × BC × 8 or better Page 3 Mark Scheme IGCSE – May/June 2013 Syllabus 0580 Qu Answers 15 (a) 52 2 (b) 22 1 3.844 × 105 1 4.55 × 108 2 17 (a) < 1 (b) > 1 (c) < 1 –4, –7, [+]5 in any order 1 –22 2 M1 for –10 and –12 seen SC1 for –10 +12 seen with 2 correct steps seen 18k 35k 3 B1 for Angle or triangle [in a] semi-circle 1 7.068 to 7.07 2 M1 for π × 1.52 seen 3 2 M2 for 6250 × 1 + oe 100 16 (a) (b) 18 (a) (b) 19 20 (a) (b) Mark Paper 12 Part Marks M1 for 180 – 128 or 128 or 52 marked on diagram in a correct position. B1 for figs 455 seen 5k 3k and M1 for 6 3 × their 7 5 3 21 6632.55 cao final answer 2 2 or M1 for 6250 × 1 + oe 100 SC2 for answer 382.55 final answer 22 14.5 oe 3 23 (a) 1 1 (b) [v =] 2E or m E or 0 .5 m E 1 m 2 3 M2 for complete correct method or M1 for one correct step M2 for v2 = 2E m or M1 for mv2 = 2E or ½ v2 = © Cambridge International Examinations 2013 E m Page 4 Mark Scheme IGCSE – May/June 2013 Syllabus 0580 Qu Answers 24 (a) (i) P in correct position at (– 5, – 2) 1 y = 2x drawn 1 2 1 S rotated correctly 2 (ii) (b) (i) (ii) Mark Paper 12 Part Marks SC1 if rotated 90acw or 90cw about wrong centre. © Cambridge International Examinations 2013