0607 CAMBRIDGE INTERNATIONAL MATHEMATICS

Size: px

Start display at page:

Download "0607 CAMBRIDGE INTERNATIONAL MATHEMATICS"

Audrey Patterson
6 years ago
Views:

1 UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 0 question paper for the guidance of teachers 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/06 Paper 6 (Extended), maximum raw mark 40 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 0 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.

2 Page Mark Scheme: Teachers version Syllabus Paper IGCSE May/June Question Answer Mark Notes Comments A (a) A p B for entries, 3 and 8 B for other entries deduct per error or omission (p =) A + or (p = ) (A + ) oe B for A (c) (d) (A = ) p or (A =) p or (A =) (p ) B for their p ft from if linear with two terms and coefficient of A more than A = 6 oe = 3 Mft A cao Assume M for p = 6 SC for if C not awarded A = C evidence of working out areas (a), 3, 4 B increase in A = increase in i oe B A = i is not accepted (c) p > or p [ 3 oe B There must be no upper bound other than 4 Communication for implying p is an integer 3 p = i = 0 p + i = 5 A = or similar 4 A M for substitution using Pick s equation M for use of areas seen in calculations or diagrams. A (using area method) cao SC for s.o.i. M A = 6 A OR B Communication University of Cambridge International Examinations 0

3 Page 3 Mark Scheme: Teachers version Syllabus Paper IGCSE May/June (a) p = 0 i = 0 p = 8 i = p = 4 i = 3 + for each correct pair except p = 6, i = for each wrong pair and round up. Communication mark for p + i = 4 oe 3 B for each quadrilateral corresponding to their correct p and i Ignore extra shapes. or (Further quadrilaterals are possible). etc. Communication mark Awarded in questions (c), 4 or 5(a) [Total: 5] Scaled to 0 University of Cambridge International Examinations 0

4 Page 4 Mark Scheme: Teachers version Syllabus Paper IGCSE May/June B (a) (i) + 5% (oe) =.05 multiply by.05 each year R R may be seen in formula $630 or better A Ignore extra decimal places y B (c) (i) y = 000 OR To double 000 multiply 000 by B y = log log.05 or y = log.05 between 4.0 and 4. B A Communication mark for log.05 y = log or y log.05 = log or log.05 = log/log.05 SC 4.log.05 = 0.30 = log (d) (i) x = x% 00 R x + 00 replaces.05 in calculations G shape generous benefit of doubt G not touching either axis (a) B or (y =) k x B Accept reciprocal or inverse variation y = 70 x Bft Accept k = 70 Condone 7 If wrong model then figures or better (truncated or rounded) for k from: A.84 C D 4.5 (degrees) or (radians) E 9. University of Cambridge International Examinations 0

5 Page 5 Mark Scheme: Teachers version Syllabus Paper IGCSE May/June (years) If k = 7 in, then 35.5 or 36 Bft If wrong model then figures (truncated or rounded) or better from A 5.68 C.7 D 4.45 or 0.8 E 7. 4 (a) (i) 0. (years) or better, seen 0 (years) B their 70 7 If k = 7 0. or better, seen 0. (years) Bft their credited 4(a)(i) their credited 4(a) If wrong model (ignoring negatives) then figures or better truncated or rounded from A 9.88 C 7.83 D 4.48 or E. 5 (a) G Communication mark only for roughly correct shape with a sensible vertical scale with max > cm from x-axis 0.3 years Bft Does not touch vertical axis. Accept horizontal after the maximum Accept 0.3 Do not follow through wrong model Follow-through from k = 7 giving 0.9 University of Cambridge International Examinations 0

6 Page 6 Mark Scheme: Teachers version Syllabus Paper IGCSE May/June The model is accurate for x 00 [] B with reasonable lower limit Lower limit between 0.5 and 3 Model is not accurate with x close to 0. [] B Communication mark for: (a) It is accurate to within 0.3 years or The difference between the models becomes extremely large as x approaches 0. [] C for one communication mark C for two Communication marks possible in (c), 5(a) and 6 [Total: ] Scaled to 0 University of Cambridge International Examinations 0

MARK SCHEME for the May/June 2012 question paper for the guidance of teachers 0580 MATHEMATICS

MARK SCHEME for the May/June 2012 question paper for the guidance of teachers 0580 MATHEMATICS UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 0 question paper for the guidance of teachers 0580 MATHEMATICS 0580/4