GCSE. Mathematics B (MEI) (Two Tier) Mark Schemes for the Units. June 2007 J518/MS/R/07. General Certificate of Secondary Education J518

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1 GCSE Mathematics B (MEI) (Two Tier) General Certificate of Secondary Education J18 Mark Schemes for the Units June 2007 Oxford Cambridge and RSA Examinations J18/MS/R/07

2 OCR (Oxford, Cambridge and RSA Examinations) is a unitary awarding body, established by the University of Cambridge Local Examinations Syndicate and the RSA Examinations Board in January OCR provides a full range of GCSE, A level, GNVQ, Key Skills and other qualifications for schools and colleges in the United Kingdom, including those previously provided by MEG and OCEAC. It is also responsible for developing new syllabuses to meet national requirements and the needs of students and teachers. 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 marks were awarded by Examiners. It does not indicate the details of the discussions which took place at an Examiners meeting before marking commenced. 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 should be read in conjunction with the published question papers and the Report on the Examination. OCR will not enter into any discussion or correspondence in connection with this mark scheme. OCR 2007 Any enquiries about publications should be addressed to: OCR Publications PO Box 00 Annesley NOTTINGHAM NG1 0DL Telephone: Facsimile: publications@ocr.org.uk

3 CONTENTS GCSE Mathematics B MEI Two Tier (J18) MARK SCHEME FOR THE UNITS Unit Content Page B261 (Foundation Modular) Paper 1 1 B26 (Higher Modular) Paper 1 7 * Grade Thresholds 11

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5 B261 Mark Scheme June 2007 Mark Scheme B261 June

6 B261 Mark Scheme June 2007 SECTION A 1 (a) 0,22,20 (b),2,1½ symbols (c) Thursday MARKS B2 NOTES 1 error 2 (a) 9 (b) 6 (c)a6 B given C7 D E1 6 (a)(i) 10g (ii) 68kg (b) arrow pointing to +/ 2mm (a) 6 8 oe 21 SC1 for 7 seen (b) M2 Any correct full method M2 1 arithmetic error 2 arithmetic errors After M0 210 or 160 seen (a) V (, ) W ( 1, 2) (b) Z plotted at ( 2, ) 6 (a)(i) 0.08 (ii) 2.8 (b) 9 soi by figs 6 6% 7 (a) 1. (b).2 (c) 1.1 Penalise once throughout for error in key interpretation Accept. for use of upper/lower bounds only 8 (a) 6 (b) 1 or 2 soi 1 2

7 B261 Mark Scheme June x m MARKS NOTES Can be implied by figs 9 seen SC2 for 900 seen in working and no further error except conversion 10 11x+1 B2 for 11x or 1 or x + or 6 2

8 B261 Mark Scheme June 2007 SECTION B 11 (a).60 their (.00) 60p 8.60ft MARKS ft NOTES Can be implied by figs Their (b) 20 their (a)(i) 10 (ii) 7 (b) 8r (c) (x+2) (d) even or multiple of 2, or in the times table cao Condone omission of final bracket 1 (a) 892 (b) 62. their ft ft must be correct to 2 dp s 1 (a)(i) (b)( ) implied by ( ) (a)(i). (ii) 1.9 x (b) their area x ft Ft must be to at least sf or Sc1 for 1.7 soi by.( ) or 18 their (rot to at least 2 sf) 8. implies M x 100.(7 ). ft Ft must show unrounded to 2dp or more, and be of equivalent difficulty, i.e. rounds up.

9 B261 Mark Scheme June Should be by. She did not by oe MARKS NOTES either reason If Zero for qu., then Sc1 for x 12.6 (2 x ) π x 9.8 (π x 9.8 x 2) + (12.6 x2) D Implied by 21.2 Implied by 12(.0) or 20(.1)

10 B261 Mark Scheme June

11 7 Mark Scheme B26 June 2007

12 B26 Mark Scheme June 2007 SECTION A MARKS NOTES SC2 for (a) Correct plan view 6 2 or 2 2 or 2 (b) Completely correct (c) 8 uses 1 cm² = 100 mm² 600 ±x or ± seen x = 1 SC2 for embedded answer (a) Method for factor three to primes oe Condone 1 error (b) 1 1. or (a) (b) , , ,20000 B2 Allow for conversion to same form Or for 1 out of order 6 (a)(i) (ii) 20 (b) girls oe, larger sample 8

13 B26 Mark Scheme June 2007 MARKS NOTES 7 (a) Minimally: 1/ (b) y = x + 2 (c) y = x + Gradient = or grad = grad of AB. B2 D : y = x + c or y = mx + 2, m 0 or x or 77 squares 0 or 1000 squares 77 Allow 77, 78,7 or 80 if B2 earned 9 6 or or 2 9 or Attempts to factorise top or bottom (2x + 1)(x ) (x + 1)(x ) 2x + 1 x + 1 Must be of form (ax + b)(cx + d) 11 (a) 17 (b) 0 (c) uses relevant distance time deals with time correctly oe subtract from 8.2 Allow M2 for 0.8 o.e. 1 (a) x>12 x > 2 (b) first step correct s 12 or s Allow for x=12 or better 12 Accept x > (c) 1 x = combines 1 and correctly 2 Condone 1 arithmetic slip 11 (d) equates coefficients adds or subtracts as appropriate x=10, y= 2 Answers alone can earn, 9

14 B26 Mark Scheme June 2007 MARKS NOTES 1 Combines 2 straights (2)π 9.8 Completely correct plan 01 to (a) Midpoints seen Calculates Σfx, for x in correct range. Divides fm by f (b) f Needs at least correct Σfx = Divides by 11 or π 2 7 r = 11 π Finds square root 7 to (a) Mention of similar figs or enlargement 1 2 (b) Uses V = π r h large cone small cone 86. to 88. D 670 or or scale factor 1 () ( 0 7 ) Accept answers in [86, 88 ] 10

15 Unit Threshold Marks General Certificate of Secondary Education Mathematics B (MEI) (Specification Code J18) June 2007 Assessment Series B261 B26 Unit Maximum a* a b c d e f g u Mark Raw 72 NA NA NA UMS 8 NA NA NA Raw NA NA 0 UMS NA NA 0 For a description of how UMS marks are calculated see; Statistics are correct at the time of publication 11

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17 OCR (Oxford Cambridge and RSA Examinations) 1 Hills Road Cambridge C 2EU OCR Customer Contact Centre (General Qualifications) Telephone: Facsimile: general.qualifications@ocr.org.uk For staff training purposes and as part of our quality assurance programme your call may be recorded or monitored Oxford Cambridge and RSA Examinations is a Company Limited by Guarantee Registered in England Registered Office; 1 Hills Road, Cambridge, C 2EU Registered Company Number: 866 OCR is an exempt Charity OCR (Oxford Cambridge and RSA Examinations) Head office Telephone: Facsimile: OCR 2007