# Mathematics Igcse 0580 Mark Scheme

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• Topic: General Certificate of Secondary Education, GCE Advanced Level, University of Cambridge
• Pages : 8 (1281 words )
• Published : May 22, 2013

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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
International General Certificate of Secondary Education

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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), (1, –3) (b) (i) Reflection, y = 0 or x axis (ii) Translation,   8   

2

B1 correct reflection in x = k, k ≠ 0 SC1 for totally correct reflection in x axis SC1 for 180° rotation not about (2,4) SC1 for correct size and orientation Ft their (a)(i) Strict ft Allow 4 right and 8 up

2 2 1ft, 1ft 1ft, 1ft

 4

© University of Cambridge International Examinations 2012

Page 3

Mark Scheme: Teachers’ version IGCSE – May/June 2012

Syllabus 0580

Paper 31

3 (a) (i)

1 oe 6 2 oe 6

1

Accept 0.167 or 16.7% or better

(ii)

1 1 3

Accept

1 or 0.333 or 33.3% or better 3

(iii) 1 (b) (2,2,2), 4,4,4,4,5,5,7,7,9 seen on spinner

Accept “one” or 100% B1 for 4,4,4,4 seen B1 for 5,5 AND 7,7 seen B1 for ONE 9 seen. Accept equivalent reasoning

(c)

3 which is 12 2 less than Jon’s probability (of ) 6 4 oe which is 12 Felix’s probability is

1

(d) (i) (90°, 120°, 30°), 72°, 48°

3

360 × f for one ‘Number’ correct 60 A1 for 1 correct answer If zero scored SC1 for their two answers totalling 120° M1 for

(ii) 30° angle correct 72°, 48° (iii) 4 (iv) 4.85

1 1ft 1 3 M1 2 × 15 + 4 × 20 + 5 × 5 + 7 × 12 + 9 × 8 (allow 1 error) Σfx M1 dep for their 60

4 (a) (b)

If x is more than 11 then 11 – x would be negative oe 14 + 4x cao accept 2(2x + 7)

1 2 3 M1 for 2x + 3 + 11 – x + 3x B1ft for “their (b)” = 32 M1ft for collecting their like terms correctly to give simplified expression of form ax = b b OR M1ft x = a M1ft for clear attempt at substituting their (c)(i) into 2 or more sides of triangle

(c) (i) 4.5 cao

(ii) 6.5

2ft

© University of Cambridge International Examinations 2012

Page 4

Mark Scheme: Teachers’ version IGCSE – May/June 2012 1 1 1 1 ft 1 ft 2

Syllabus 0580

Paper 31

5 (a) (b)

Correct diagram: 4 rows & 6 columns 35

(c) (i) n + 2 cao (ii) n (n + 2) oe (iii) 440 6 (a) 2 cao

Ft ‘their (c)(i)’ × n if (c)(i) linear Ft substitution of...