0580 M17 Ms 42 - The Maths Mann
Cambridge International ExaminationsCambridge International General Certificate of Secondary EducationMATHEMATICS0580/42Paper 42 (Extended)March 2017MARK SCHEMEMaximum Mark: 130PublishedThis mark scheme is published as an aid to teachers and candidates, to indicate the requirements of theexamination. It shows the basis on which Examiners were instructed to award marks. It does not indicate thedetails of the discussions that took place at an Examiners’ meeting before marking began, which would haveconsidered the acceptability of alternative answers.Mark schemes should be read in conjunction with the question paper and the Principal Examiner Report forTeachers.Cambridge will not enter into discussions about these mark schemes.Cambridge is publishing the mark schemes for the March 2017 series for most Cambridge IGCSE ,Cambridge International A and AS Level components and some Cambridge O Level components. IGCSE is a registered trademark.This document consists of 7 printed pages. UCLES 2017[Turn over
0580/42Cambridge IGCSE – Mark SchemePUBLISHEDMarch 2017Abbreviationscaocorrect answer onlydepdependentFTfollow through after erroriswignore subsequent workingoeor equivalentSCSpecial Casenfwwnot from wrong workingsoiseen or impliedQuestion1AnswerMarksPart Marks(a)22.9 or 22.85 to 22.86(b)5635 (c)50003(d)99502M1 for 2 2500 or 3 1650(e)1.98 final answer2B1 for 1.976 or 1.98 not final answeror M1 for 130 0.0152(a) (i)Rotation190 [anticlockwise] oe1(9, 5)1Translation1 8 oe 14 1Enlargement1217or better [ 2737]10 17 82M1 for8[ 100] oe10 17 8M1 for5635(10 17 8)52(ii)(iii)131( 8, 2)1Image at (1, 3) (2, 3) (2, 5)2M1 for triangle correct size andorientation, wrong positionor SC1 for correct reflection in y –x 0 1 1 0 2B1 for 1 correct column or row[sf](b) (i)(ii) UCLES 2017 2.42 M2 for 5635 k 1 oe100 2.42 or B1 for 1 100 Page 2 of 7
0580/42Cambridge IGCSE – Mark SchemePUBLISHEDQuestion3AnswerMarksMarch 2017Part Marks(a)0 0.5 oe 1.25 oe(b)Fully correct smooth curve4B3 FT for 7 or 8 pointsor B2 FT for 5 or 6 pointsor B1 FT for 3 or 4 points(c)3.6 to 3.82M1 for y 3.5 soi(d)line y x 1 ruled 1.55 to 1.401, 1, 1M1A1 A14.55 to 4.8(e) (i)Point plotted at (5, 5)1(ii)Tangent ruled from A1(iii)1.2 to 1.4B2If 0 scored SC1 for y x 1 stated orimpliedor for 2 correct values givenB2 and M1 dep on reasonable attempt attangent from (5, 5)M1 for change in y/ change in x of theirruled line41 1 1 1 1 oe2 6 4 3 1 1 1or M1 for seen oe or idea that6 4 3all sum to 1(a)1oe83(b)7oe122M1 for1 1 oe3 4(c) (i)1oe162M1 for1 1 oe4 4(ii)2oe243121(d) UCLES 2017Page 3 of 7M2 for1 1M2 for 2 oe6 41 1or M1 for oe6 4
0580/42Cambridge IGCSE – Mark SchemePUBLISHEDQuestion5(a) (i)(ii)(b) (i)(ii)AnswerMarch 2017Marks( 3x 1)( x 4 )21oe and 431Part MarksM1 for ( 3x b )( x c ) with bc 4or 3c b 11or for 3x(x 4) – 1(x 4)or for x(3x – 1) 4(3x – 1)2 2 ( x 4 ) 2 ( 2 x 11) ( 2 x 11)( x 4 )or betterM2M1 for common denom2 ( 2 x 11)( x 4 ) seenor attempt to multiply through by denoms2( x 4) (2 x 11) 1 or for(2 x 11)( x 4) 2 2 x 2 11x 8 x 44 or betterB1or for other correct relevant 2 bracketexpansion if alt method used4 x 16 4 x 22 2 x 2 8 x 11x 442 x 2 3x 6 0A1correct solution reached with all bracketsexpanded and no errors or omissions seen 3 ( 3)2 4 ( 2 )( 6 )22 2B1 for( 3)2 4 ( 2) ( 6 ) )or better23 or x oe4 and B1 for 3 q 3 qoror better2(2)2(2)357357oe or oeor 416416 2.64 and 1.14 final ans cao6(a) (i)(ii)(b) UCLES 2017B1B1SC1 for 2.6 or –2.637. and 1.1 or1.137.or 2.64 and 1.14 seen in workingor 2.64 and 1.14 as final answers2713.89 or 3.888 to 3.8892M1 for76 cao3B2 for ABC 104 or AOC 152 orCOD 28or OBA 52 and OBC 52or BCD 128 and OCB 52or B1 for any one of OBA,OBC,OCB 52 or BCD 128Page 4 of 779 oeEZ 5
0580/42Cambridge IGCSE – Mark SchemePUBLISHEDQuestionAnswer(c) (i)(ii)(iii)7(a)Marks901angle in semicircle1271tangent [perpendicular to] radius1rectangle172.7 or 72.70 to 72.71 nfww4March 2017Part MarksM1 for midpoints soi (condone 1 error oromission)(47.5, 55, 65, 80, 95, 110)M1 for use of fx with x in correctinterval including both boundaries(condone 1 further error or omission)(1092.5, 3520, 7930, 10880, 2470, 3190)M1 (dep on 2nd M1) for fx 400(b) (i)(ii)[23] 87 209 345 371 [400]2B1 for 2 or 3 correctCorrect graph3B1FT their (b)(i) for 6 correct heightsB1 for 6 points at upper ends of intervalson correct vertical lineB1FT (dep on at least B1) for increasingcurve or polygon through 6 pointsAfter 0 scored, SC1FT their (b)(i) for 5correct points plotted8(iii) (a)69 to 701(b)20 to 232FT(c)72 to 752M1 for 240 soi5.14 or 5.135 to 5.142 nfww4M2 for[ XY 2 ] 12.52 9.92 2 12.5 9.9 cos 23or M1 for implicit versionA1 for 26.4 to 26.5ORB1 for [XYT ] 108 or [TXY ] 4912.5sin 23M2 foroesin(180 72)sin(180 72) sin 23 or M1 foroe12.5XY(a) (i) UCLES 2017Page 5 of 7FT their cumulative freq curveM1 for correct UQ or LQ for theircumulative freq curve
0580/42Cambridge IGCSE – Mark SchemePUBLISHEDQuestionMarksPart Marks9.9 sin(72) oesin 379.9TZ or M1 foroesin 37 sin 72OR12.5 sin(180 23 108)oeM2 forsin 37sin 37 sin(180 23 108) or M1 foroe12.5TZM2 for [TZ ]15.6 or 15.7 or 15.64 to 15.683(b)3.79 or 3.793 to 3.7944(a)x 10 oe1Accept x - 9y 2 oe1Accept y 1(b)x 3 y - 21 oe1Mark answer line isw(c)ruled broken line x 10B1or ruled line x 9ruled line y 2B1or ruled broken line y 1ruled line from (0, 7) to (21, 0)B2SC1 for line with negative gradientcorrect only at (0, 7) or (21, 0)(ii)9AnswerMarch 2017(d) (i)(ii)10 (a) (i)correct region indicated cao141201(6 2) 180 or (2 6 – 4) 90or (360 6)M1(6 2) 180 6 or (2 6 – 4) 90 6or 180 (360 6)(ii)3 65 2π M3 for r 20.5 2 oe360 3 65 2πr oeor M2 for 20.5 2r 36065 2πr oeor M1 for [3 ]360or 20.5 2r expression involving πM1dep31.73x or x 3 oedep on previous M1M2 for 2 x sin 60 or 2 x cos30 oeor for x 2 x 2 2 x x cos120or M1 for x sin 60 or x cos30 oeor for x 2 x 2 2 x x cos120 UCLES 2017Page 6 of 7
0580/42Cambridge IGCSE – Mark SchemePUBLISHEDQuestion(iii)AnswerMarks(10 x)sin 30 seen oePart MarksM110 2 ( (10 x ) sin 30 ) oeM1dep110 10 x or 10 2 (10 x )2A112.7 or 12.67 to 12.68. nfww(b)March 20174dep on previous M1with no errors or omissions seenB3 for 7.32 to 7.33or M2 for x 20 (1 1.73) oeor M1 for 20 x their (a)(ii) oe411 (a)8567116 32 64 1283B2 for 3 or 4 corrector B1 for first 2 correctIf 0 scored, SC1 for 4 values correctlydoubled FT one error(b)2n oe1(c) (i)2 4 8 14116 2 141or for 14 2 16 24(ii)62and62B1 for each(iii)2n 1 2 oe1(iv)91 UCLES 2017Page 7 of 7
MATHEMATICS 0580/42 Paper 42 (Extended) March 2017 MARK SCHEME Maximum Mark: 130 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
May 02, 2018 · D. Program Evaluation ͟The organization has provided a description of the framework for how each program will be evaluated. The framework should include all the elements below: ͟The evaluation methods are cost-effective for the organization ͟Quantitative and qualitative data is being collected (at Basics tier, data collection must have begun)
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MARK SCHEME for the June 2004 question papers 0580/0581 MATHEMATICS 0580/01, 0581/01 Paper 1 (Core), maximum raw mark 56 0580/02, 0581/02 Paper 2 (Extended), maximum raw mark 70 0580/03, 0581/03 Paper 3 (Core), maximum raw mark 104 0580/04, 0581/04 Paper 4 (Extended), maximum raw mark 130
On an exceptional basis, Member States may request UNESCO to provide thé candidates with access to thé platform so they can complète thé form by themselves. Thèse requests must be addressed to esd rize unesco. or by 15 A ril 2021 UNESCO will provide thé nomineewith accessto thé platform via their émail address.
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[m] [mm] [mm] [mm] Power cable for BOSCH Rexroth IndraDrive A/B - cable track-compatible KA GLT1706-LK-00500-B 0349861 5 8.5 71 21.2 M17 KA GLT1706-LK-01000-B 0349862 10 8.5 71 21.2 M17 KA GLT1706-LK-01500-B 0349863 15 8.5 71 21.2 M17 KA GLT1707-LK-02000-B 0349864 20 8.5 71 21.2 M17 Power cable for BOSCH
Chính Văn.- Còn đức Thế tôn thì tuệ giác cực kỳ trong sạch 8: hiện hành bất nhị 9, đạt đến vô tướng 10, đứng vào chỗ đứng của các đức Thế tôn 11, thể hiện tính bình đẳng của các Ngài, đến chỗ không còn chướng ngại 12, giáo pháp không thể khuynh đảo, tâm thức không bị cản trở, cái được
