MATHEMATICS

1 This document has 10 pages. Blank pages are indicated. UCLES 2017 [Turn overCambridge IGCSE MATHEMATICS 0580/02 Paper 2 (Extended) For examination from 2020 MARK SCHEMEM aximum Mark: 70 Specimen0580/02 Cambridge IGCSE Mark Scheme For examination SPECIMEN from 2020 Page 2 of 10 UCLES 2017 Generic Marking PrinciplesThese general marking principles must be applied by all examiners when marking candidate answers. They should be applied alongside the specific content of the mark scheme or generic level descriptors for a question. Each question paper and mark scheme will also comply with these marking MARKING PRINCIPLE 1:Marks must be awarded in line with: the specific content of the mark scheme or the generic level descriptors for the question the specific skills defined in the mark scheme or in the generic level descriptors for the question the standard of response required by a candidate as exemplified by the standardisation MARKING PRINCIPLE 2:Marks awarded are always whole marks (not half marks, or other fractions).]

2 GENERIC MARKING PRINCIPLE 3:Marks must be awarded positively: marks are awarded for correct/valid answers, as defined in the mark scheme. However, credit is given for valid answers which go beyond the scope of the syllabus and mark scheme, referring to your Team Leader as appropriate marks are awarded when candidates clearly demonstrate what they know and can do marks are not deducted for errors marks are not deducted for omissions answers should only be judged on the quality of spelling, punctuation and grammar when these features are specifically assessed by the question as indicated by the mark scheme. The meaning, however, should be MARKING PRINCIPLE 4:Rules must be applied consistently in situations where candidates have not followed instructions or in the application of generic level MARKING PRINCIPLE 5:Marks should be awarded using the full range of marks defined in the mark scheme for the question (however; the use of the full mark range may be limited according to the quality of the candidate responses seen).

3 0580/02 Cambridge IGCSE Mark Scheme For examination SPECIMEN from 2020 Page 3 of 10 UCLES 2017 GENERIC MARKING PRINCIPLE 6:Marks awarded are based solely on the requirements as defined in the mark scheme. Marks should not be awarded with grade thresholds or grade descriptors in SCHEME NOTESThe following notes are intended to aid interpretation of mark schemes in general, but individual mark schemes may include marks awarded for specific reasons outside the scope of these of markM Method mark, awarded for a valid method applied to the problem. A Accuracy mark, given for a correct answer or intermediate step correctly obtained. For accuracy marks to be given, the associated Method mark must be earned or Mark for a correct result or statement independent of Method a part of a question has two or more method steps, the M marks are in principle independent unless the scheme specifically says otherwise; and similarly where there are several B marks allocated.

4 The notation dep is used to indicate that a particular M or B mark is dependent on an earlier mark in the correct answer onlydep dependentFT follow through after errorisw ignore subsequent workingnfww not from wrong workingoe or equivalentSC special casesoi seen or implied0580/02 Cambridge IGCSE Mark Scheme For examination SPECIMEN from 2020 Page 4 of 10 UCLES 2017 QuestionAnswerMarksPartial Marks18(h) 52 (min)1 QuestionAnswerMarksPartial or 3431 QuestionAnswerMarksPartial Marks3311 QuestionAnswerMarksPartial Marks4 Identifies error correctly (Refers to 100 mm2 = 1 cm2 oe)1 QuestionAnswerMarksPartial Marks5112M1 for 2 7 3 soiQuestionAnswerMarksPartial Marks61074 6 80 4 7 90 21112132B1 for 8 or 9 correct numbers orderedor for 10 correct numbers not orderedQuestionAnswerMarksPartial Marks7 Triangle drawn accurately with a ruler and a pair of arcs2B1 for two sides of the correct length drawn as part of a triangle0580/02 Cambridge IGCSE Mark Scheme For examination SPECIMEN from 2020 Page 5 of 10 UCLES 2017 QuestionAnswerMarksPartial Marks8(a =) 70(b =)

5 402B1 for eachQuestionAnswerMarksPartial Marks9w = y537 oe2M1 for 5w + 7 = 3y or 5w 3y = 7 or 5w = 3y 7or w y53 + 57 = 0 QuestionAnswerMarksPartial Marks10 Cannot be written as a fraction oe1 Accept 3 is a prime numberAccept decimal going on forever with no pattern oeQuestionAnswerMarksPartial valueQuestionAnswerMarksPartial oe2M1 for ..PQ52217124= oeQuestionAnswerMarksPartial Marks13n > for 7 + 8 < 5n n oeallow 3 0580/02 Cambridge IGCSE Mark Scheme For examination SPECIMEN from 2020 Page 6 of 10 UCLES 2017 QuestionAnswerMarksPartial Marks14 Common denominator 60B1 Accept k 60()or6035956039+M1 Accept ()orkkkkk6035956039+60134 or 16074 or 26014 and 2307A1 Accept kk60134 or kk16074 or kk26014 and 2307 QuestionAnswerMarksPartial Marks15(a) 3115(b)9 2n oe2B1 for 2n + k or dn + 9 where d 0 QuestionAnswerMarksPartial Marks161453M2 for (6 2) 180 5 115 oeor M1 for (6 2) 180 oeAlternative methodM2 for 180 (360 5 (180 115))or M1 for 360 5 (180 115)QuestionAnswerMarksPartial or for height 8422 oeor M1 for 42 + h2 = 82 oeand M1 for 21(8 + 12)

6 Their perp height oe0580/02 Cambridge IGCSE Mark Scheme For examination SPECIMEN from 2020 Page 7 of 10 UCLES 2017 QuestionAnswerMarksPartial Marks18(a)AB118(b)DEF1 QuestionAnswerMarksPartial or Marks20100x = oeM19029 oe fractionB1 QuestionAnswerMarksPartial Marks21A C D3B1 for each0580/02 Cambridge IGCSE Mark Scheme For examination SPECIMEN from 2020 Page 8 of 10 UCLES 2017 QuestionAnswerMarksPartial Marks221210 oe3M2 for 13241#- or for 314331413243###++or M1 for 3241# or for 31413243##+ QuestionAnswerMarksPartial Marks23273M2 for 296##rr 92 oeor M1 for 296##rr oeQuestionAnswerMarksPartial Marks24 Median is greater for Electro company so Tom is wrong because Spark is cheaper oe2M1 for Spark median = 46 and Electro median = 52 IQR is greater for Spark company so Tom is right Spark is more varied oe2M1 for Spark IQR = 26 and Electro IQR = 18 QuestionAnswerMarksPartial

7 Marks25(x + 2)2 or x2 + 2ax + a2 bM1 3 (their 2)2 or a2 b = 3 or 2a = 4M1(x + 2)2 7 or a = 2 and b = 7M1( 2, 7)B1 QuestionAnswerMarksPartial Marks26(a)551 Alternate segment126(b)1151 cyclic quadrilateral10580/02 Cambridge IGCSE Mark Scheme For examination SPECIMEN from 2020 Page 9 of 10 UCLES 2017 QuestionAnswerMarksPartial Marks27(a)3x22B1 for 3xk or kx2 (k 0 )27(b)323M2 for 8x2 and x42orB1 for 8x2 or x42 QuestionAnswerMarksPartial Marks285x2 + 4x 19 = 4x + 1M1 For subtracting the two equations5x2 20 = 0M1 Alternative method5x2 = 20[5] (x 2)(x + 2) [= 0]M1x2 = 4x = 2 and 2B1y = 9 and 7B10580/02 Cambridge IGCSE Mark Scheme For examination SPECIMEN from 2020 Page 10 of 10 UCLES 2017 BLANK PAGE