MATHEMATICS

1 This document has 8 pages. Blank pages are indicated. UCLES 2017 [Turn overCambridge IGCSE MATHEMATICS 0580/01 paper 1 (Core) For examination from 2020 MARK SCHEMEM aximum Mark: 56 Specimen0580/01 Cambridge IGCSE Mark Scheme For examination specimen from 2020 Page 2 of 8 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 0580/01 Cambridge IGCSE Mark Scheme For examination specimen from 2020 Page 3 of 8 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 implied0580/01 Cambridge IGCSE Mark Scheme For examination specimen from 2020 Page 4 of 8 UCLES 2017 QuestionAnswerMarksPartial Marks117 0171 QuestionAnswerMarksPartial Marks2751 QuestionAnswerMarksPartial Marks31074 6 80 4 7 90 21112132B1 for 8 or 9 correct numbers ordered or for 10 correct numbers not orderedQuestionAnswerMarksPartial Marks4(a)680014(b)67901 QuestionAnswerMarksPartial Marks5 Correct net drawn3B2 for 4 faces correctly drawn and joined edge to edgeor B1 for 2 faces correctly drawn and joined edge to edgeQuestionAnswerMarksPartial Marks6(a)316(b)All 3 correct lines of symmetry drawn10580/01 Cambridge IGCSE Mark Scheme For examination specimen from 2020 Page 5 of 8 UCLES 2017 QuestionAnswerMarksPartial Marks7(a)kk53 where k is an integer 117(b)71 oe1 QuestionAnswerMarksPartial Marks86003M1 for 100031 or betterM1 for [6 ] 102 QuestionAnswerMarksPartial Marks9(a)54 oe19(b)40 cao1 QuestionAnswerMarksPartial Marks10 Triangle drawn accurately with a ruler and a pair of arcs2B1 for two sides of the correct length drawn as part of a triangleQuestionAnswerMarksPartial Marks1131 1 QuestionAnswerMarksPartial Marks12(a)6000112(b) oe1 QuestionAnswerMarksPartial Marks133 180 oe.

5 Refers to 3 triangles. Interior angles of triangle total 180 oe10580/01 Cambridge IGCSE Mark Scheme For examination specimen from 2020 Page 6 of 8 UCLES 2017 QuestionAnswerMarksPartial Marks14x8y7 final answer2M1 for xky7 or x8ykQuestionAnswerMarksPartial [0] 1031 QuestionAnswerMarksPartial Marks16[Other angle could be] 84 oe2M1 for 180 (48 + 48)QuestionAnswerMarksPartial Marks17 Cannot be written as a fraction oe1 Accept 3 is a prime numberAccept decimal going on forever with no pattern oeQuestionAnswerMarksPartial valueQuestionAnswerMarksPartial Marks19w = y537 oe2M1 for 5w + 7 = 3y or 5w 3y = 7 or 5w = 3y 7 or w y53 + 57 = 0 QuestionAnswerMarksPartial Marks20(a)A oe120(b)A B oe1 QuestionAnswerMarksPartial Marks21340 or to for 4 Cambridge IGCSE Mark Scheme For examination specimen from 2020 Page 7 of 8 UCLES 2017 QuestionAnswerMarksPartial oe2M1 for .PQ52 =.

6 217124 oeQuestionAnswerMarksPartial Marks23(a)TG30452025 2B1 for any 2 correct23(b)301FT from their diagramQuestionAnswerMarksPartial Marks24(a)6(3x 4) final answer124(b)w201 QuestionAnswerMarksPartial Marks25 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 Marks2610900002M1 30A10580/01 Cambridge IGCSE Mark Scheme For examination specimen from 2020 Page 8 of 8 UCLES 2017 QuestionAnswerMarksPartial Marks27(a) 4, 3, 222B1 for 2 values correct27(b)n2 + 2 final answer2M1 for n2 + kQuestionAnswerMarksPartial cao2M1 for 36030 92