Cambridge International Examinations Cambridge International General Certificate of Secondary Education. Published

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1 Cambridge International Examinations Cambridge International General Certificate of Secondary Education MATHEMATICS 080/ Paper (Extended) May/June 06 MARK SCHEME Maximum Mark: 70 Published 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 befe 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 Rept f Teachers. Cambridge will not enter into discussions about these mark schemes. Cambridge is publishing the mark schemes f the May/June 06 series f most Cambridge IGCSE, Cambridge International A and AS Level components and some Cambridge O Level components. IGCSE is the registered trademark of Cambridge International Examinations. This syllabus is approved f use in England, Wales and Nthern Ireland as a Cambridge International Level /Level Certificate. This document consists of printed pages. UCLES 06 [Turn over

2 Page Mark Scheme Syllabus Paper Cambridge IGCSE May/June Abbreviations cao crect answer only dep dependent FT follow through after err isw igne subsequent wking oe equivalent SC Special Case nfww not from wrong wking soi seen implied to cao 4 Parallelogram 9 and x 0.x final answer B f answer 8 k x nx² B f cm : 00 km oe M f ² ² oe seen x x 8 x > 9 M f > oe > 3 oe M f 360 (80 7) 80 n M f 80 7 n ( ) = 7 oe 0 8r p = r 3 oe final answer 3 M f crectly collecting terms in p on one side and terms not in p on the other side M f crect factising M f crect division dependent on p appearing only once in a factised expression Maximum M f an increct final answer B f four values with a mode of 78 B f four values with a median of 77 B f total of four values is 300 Cambridge International Examinations 06

3 Page 3 Mark Scheme Syllabus Paper Cambridge IGCSE May/June cao 3 33 B f oe as final answer 90 M f r 3.6 r oe k B f cao nfww 3 M f allowing one err in the UB LB provided it is still UB LB M f one of seen as bounds oe M Must be shown 8 cao final answer A A f 9 8 oe e.g a = 3. 7 and b = B f one crect M f (x + 7 ) 7 M f (x + 7 ) oe 6 Crectly eliminating one variable x = 4 y = 0. oe M A A a = 7 a + b = after x + ax + a If zero sced SC f values satisfying one of the iginal equations if no wking shown, but crect answers given 7 Bisect of angle B accurate with two pairs of crect arcs B f accurate line with no/wrong arcs f crect arcs with no/wrong line Ruled line parallel to AC at a distance of 3 cm to AC only inside the triangle 8 3n + 3 oe final answer M f 3n + c kn n oe final answer M f recognition of terms being powers of to [ billion] M f B f answer 043 Cambridge International Examinations 06

4 PagP ge 4 MarM k Schemee CamC mbridgee IGCSEE May/June 06 Syllabus 080 Paper Question AnswA wer Mark Part marks M f anya threee pairss of products fromf.,. 6,, 0, too 9.7 M f (( ) / their f their total of thee bars above 0 minm nutes theirr 6 on answerr line clearly identified as <ACB and two crect suppting reasons 4 B f <AO< OB = 44 r f their < <AOB other appropriate crect angle one step from < <ACB B f any crect reason e.g. isosceles triangle angles in triangle = 80 B f a different crect reason leading directly to t <ACBB e.g. angle at circumference is ½ angle at centree oee B f B f two crect elements (c) 7 3 oe o isw a M f 7 c dett = 7 soi b r k d 3 33 Crect shadingg with threee ruled accurate solidd bounb ndary lines B f 3x + 4yy = line through (0,, 3) and (4, 0) B f a diagonal line throughh one of these pointss B f y = x line through (0, 0) andd (, ) through (, ) and (3, 6) B f x = 3 line R Cambridgee International Examinationss 066

5 Page Mark Scheme Syllabus Paper Cambridge IGCSE May/June a + b c (c) a + b + c M f c + ½ (their ) f a crect route e.g. OC + CB, OQ c a 6 b M f 3 b (their ) other crect route e.g. b a + their, PO 3 + OQ Cambridge International Examinations 06