MARK SCHEME for the June 2005 question paper 0580/0581 MATHEMATICS

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1 UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the June 005 question paper 0580/058 MATHEMATICS 0580/0, 058/0 Paper (Extended), maximum raw mark 70 This mark scheme is published as an aid to teachers and students, to indicate the requirements of the examination. It shows the basis on which Examiners were initialy instructed to award marks. It does not indicate the details of the discussions that took place at an Examiners meeting before marking began. Any substantial changes to the mark scheme that arose from these discussions will be recorded in the published Report on the Examination. 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 discussion or correspondence in connection with these mark schemes. CIE is publishing the mark schemes for the June 005 question papers for most IGCSE and GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.

2 Grade thresholds for Syllabus 0580/058 (Mathematics) in the June 005 examination. maximum mark available minimum mark required for grade: A C E F Component n/a The threshold (minimum mark) for B is set halfway between those for Grades A and C. The threshold (minimum mark) for D is set halfway between those for Grades C and E. The threshold (minimum mark) for G is set as many marks below the F threshold as the E threshold is above it. Grade A* does not exist at the level of an individual component.

3 TYPES OF MARK Most of the marks (those without prefixes, and B marks) are given for accurate results, drawings or statements. M marks are given for a correct method. B marks are given for a correct statement or step. A marks are given for an accurate answer following a correct method. ABBREVIATIONS a.r.t. b.o.d. c.a.o. e.e.o. f.t i.s.w. o.e. SC s.o.i. ww www Anything rounding to Benefit of the doubt has been given to the candidate Correct answer only (i.e. no follow through ) Each error or omission Follow through Ignore subsequent working Or equivalent Special case Seen or implied Without working Without wrong working Work followed through after an error: no further error made

4 June 005 IGCSE MARK SCHEME MAXIMUM MARK: 70 SYLLABUS/COMPONENT: 0580/0, 058/0 MATHEMATICS Paper (Extended)

5 Page Mark Scheme Syllabus Paper IGCSE EXAMINATIONS JUNE /058 * indicates that it is necessary to look in the working following a wrong answer (a) 5/ (5) 0.76 * M sin 5 = h/ may score M0 3 (a) Allow /5 x 0 essential 4 (.00) or 0.9 r M A0 other answers in range 0.99 to (a) 6 (a) 7 (a) 3 3 lines (.0) by eye, M or 4/sin45 or 4 or 3 (a) from the answer space SC correct but reversed (a) least value x 8 8 x = 8 y = 6 3* M for multiplication and subtraction 9 (a) 0 (a) wf = oe 500 8/9 or 0.4 7/8 or M wf = k A k = M their prime number count/9 3 B for 8 in correct place B for in correct place B for 4 and 7 in correct place SC or (a) x 4x 5x 4x 4x x 4x 5x * M x x + 4x + x x x + x + 4x 3 (a) (c) (d) 8,, 4 3n integers only 4 (a) 0% * 6000 M for x % * M for x (a) 6 3/ oe y = 3/x 7 4( x + ) oe x( x + ) * M correct method 3* M (x + )(x +) - x B x + 4x + 4 University of Cambridge International Examinations 005

6 Page Mark Scheme Syllabus Paper IGCSE EXAMINATIONS JUNE /058 7 (a) (c) 8 (a) 0.5 below the height at midday 0.4,0.3, (a) x > cao 0 (a) 3 o 75(.4) * M for t = 7 3* M or dep M add * 3* * 4* M 0.x =.4 B for every two moves completed correctly M for 360 ( ) M for = A GAW = 60.4 sin 63 sin x M 5 + GAW and no further working A (a) (i) (ii) (i) * 40 M x x π x (ii) 8.73 * 40 M x π x TOTAL 70 University of Cambridge International Examinations 005

MARK SCHEME for the November 2005 question paper 0580/0581 MATHEMATICS

MARK SCHEME for the November 2005 question paper 0580/0581 MATHEMATICS UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the November 005 question paper 0580/0581 MATHEMATICS 0580/04, 0581/04 Paper