Mark Scheme (Results) January 2013 - Edexcel
Mark Scheme (Results)January 2013International GCSE Mathematics A(4MA0) Paper 4HLevel 1 / Level 2 Certificate in Mathematics(KMA0) Paper 4H
Edexcel and BTEC QualificationsEdexcel and BTEC qualifications come from Pearson, the world’s leading learningcompany. We provide a wide range of qualifications including academic, vocational,occupational and specific programmes for employers. For further information visit ourqualifications websites at www.edexcel.com or www.btec.co.uk for our BTECqualifications.Alternatively, you can get in touch with us using the details on our contact us page atwww.edexcel.com/contactus.If you have any subject specific questions about this specification that require thehelp of a subject specialist, you can speak directly to the subject team at Pearson.Their contact details can be found on this link: www.edexcel.com/teachingservices.You can also use our online Ask the Expert service at www.edexcel.com/ask. You willneed an Edexcel username and password to access this service.Pearson: helping people progress, everywhereOur aim is to help everyone progress in their lives through education. We believe in everykind of learning, for all kinds of people, wherever they are in the world. We’ve been involvedin education for over 150 years, and by working across 70 countries, in 100 languages, wehave built an international reputation for our commitment to high standards and raisingachievement through innovation in education. Find out more about how we can help you andyour students at: www.pearson.com/ukJanuary 2013Publications Code UG034742All the material in this publication is copyright Pearson Education Ltd 2013
General Marking Guidance All candidates must receive the same treatment. Examiners must mark the firstcandidate in exactly the same way as they mark the last. Mark schemes should be applied positively. Candidates must be rewarded forwhat they have shown they can do rather than penalised for omissions. Examiners should mark according to the mark scheme not according to theirperception of where the grade boundaries may lie. There is no ceiling on achievement. All marks on the mark scheme should beused appropriately. All the marks on the mark scheme are designed to be awarded. Examinersshould always award full marks if deserved, i.e. if the answer matches the markscheme.Examiners should also be prepared to award zero marks if the candidate’sresponse is not worthy of credit according to the mark scheme. Where some judgement is required, mark schemes will provide the principles bywhich marks will be awarded and exemplification may be limited. When examiners are in doubt regarding the application of the mark scheme to acandidate’s response, the team leader must be consulted. Crossed out work should be marked UNLESS the candidate has replaced it withan alternative response. Types of mark oM marks: method marksoA marks: accuracy marksoB marks: unconditional accuracy marks (independent of M marks)Abbreviationsocao – correct answer onlyoft – follow throughoisw – ignore subsequent workingoSC - special caseooe – or equivalent (and appropriate)odep – dependentoindep – independentoeeoo – each error or omissionNo workingIf no working is shown then correct answers normally score full marksIf no working is shown then incorrect (even though nearly correct)answers score no marks.
With workingIf there is a wrong answer indicated on the answer line always check theworking in the body of the script (and on any diagrams), and award any marksappropriate from the mark scheme.If it is clear from the working that the “correct” answer has been obtained fromincorrect working, award 0 marks.Any case of suspected misread loses A (and B) marks on that part, but can gainthe M marks.If working is crossed out and still legible, then it should be given any appropriatemarks, as long as it has not been replaced by alternative work.If there is a choice of methods shown, then no marks should be awarded, unlessthe answer on the answer line makes clear the method that has been used.If there is no answer on the answer line then check the working for an obviousanswer. Follow through marksFollow through marks which involve a single stage calculation can be awardedwithout working since you can check the answer yourself, but if ambiguous donot award.Follow through marks which involve more than one stage of calculation can onlybe awarded on sight of the relevant working, even if it appears obvious thatthere is only one way you could get the answer given. Ignoring subsequent workIt is appropriate to ignore subsequent work when the additional work does notchange the answer in a way that is inappropriate for the question: eg. Incorrectcancelling of a fraction that would otherwise be correct.It is not appropriate to ignore subsequent work when the additional workessentially makes the answer incorrect eg algebra.Transcription errors occur when candidates present a correct answer in working,and write it incorrectly on the answer line; mark the correct answer. Parts of questionsUnless allowed by the mark scheme, the marks allocated to one part of the questionCANNOT be awarded in another.
International GCSE and Level 1/Level 2 Certificate in Maths Jan 2013 – Paper 4H Mark schemeApart from Questions 10, 14, 18 and 26 (where the mark scheme states otherwise) the correct answer, unless clearly obtained by anincorrect method, should be taken to imply a correct method.QWorkingAnswerMarkNotes1.(a)11.5 or 1.96 seen25.8673(46939.)(b)2.5.9π 7.6A11B12M123.93.6 2 7 4 8 5 9 8 10 1or 12 28 40 72 10 or 162“162” 20M1A13M1M1A18.1Also award for 58598or57598or answer of5.9 or 5.87for at least first 5 figures (ignore figuresafter the first five)ft from (a) if non-trivialTotal 3 marks7.62for answer which rounds to 23.9Total 2 marksor 2 π for at least 3 correct products andsumming them(dep) for division by 20Accept 8 if 162 20 seenNB: Award A0 if 8.1 clearly comes fromincorrect figuresTotal 3 marks4.0.2 0.720.9 oeM1A1oe inc9, 90%10Total 2 marks
5.(a)4, 8 & one even number other than 2, 6 or 102B2(b)3 even numbers other than 2, 4, 6, 8 or 10 eg 12, 14, 161B1B1 for 4, 8 alone orfor 4, 8 and one odd number orfor 4, 8 and more than one other evennumber (any extra even numbers must notbe 2 or 6 or 10)Accept 0 as an even numberTotal 3 marks6.(a)1 "59or45" 9649seenoe or593 56oe49oeM12054(b)M1or102727A12B2caoB1 for 18 or 54 or any multiple of 27Total 5 marks
7.4Splits shape appropriatelyeg rectangle triangle or rectangle trapezium or 'completing the rectangle'eg. 9 10 or 90 or 9 4 or 361or 9 6 or 54 or 7 6 or 21B1If lines not present on diagram then can beimplied by correct method for at least twoareas (areas must not overlap and mustnot be contradictory)M1for area of one appropriate rectangle,triangle or trapeziumM1for complete methodA1cao21or (16 9) 6 or 752116 10 or 160 or (4 10) 7 or 492eg.1 7 6 21 7 629 10 9 4 9 61 (16 9) 62116 10 (4 10) 729 4 111Total 4 marks
8.(a)(b)(c)n(n 8)6x 15 4x 12B22M1A1M12x 27y2 2y 7y 142y2 9y 149.2A18.62 6.92 or 73.96 47.61 or 26.358.6 2 6.92 orAward B2 also for (n 0)(n 8)B1 for factors which, when expanded & simplified,give two terms, one of which is correctSC B1 for n(n 8n)for 3 correct termscaofor 3 correct terms out of 4or for 4 correct terms ignoring signsor for y2 9y c for any non-zero value of cor for 9y 14caoTotal 6 marks326.355.13M1M1for squaring and subtracting(dep) for square rootA1for answer which rounds to 5.13Total 3 marks
10.35x 15 or 5x 1 16or 3x 2x 15or 5x 15 0 311.M2A1for correct rearrangement with x terms on one side and numbers on theother AND correct collection of terms on at least one sideM2 also for 5x 15, 5x 16 1 or 2x 3x 15M1 forcorrect rearrangement with x terms on one side and numbers on theothereg. 3x 2x 1 16 or16 1 2x 3xorcorrect collection and simplification of either numbers or x termseg .5x 16 1 or 5x a or 5x a 0 or nx 15 (n 5)Award 3 marks if M1 scored and answer correct.Total 3 marks3noe14(provided no evidence of 14 fromincorrect method)656 “14” or 4 or 56145 9 or 14 seen or orM12412.M1arc centre B cutting BA and BC at (say) P and Qarcs centres P and Q of equal radii which intersect at R (say)and BR joined (overlay)A12M1A1ordep5 9 x 565 9 614or 8020Also accept 20 : 36 : 24 as final answerTotal 3 marksor 56 depTotal 2 marks
2 x 4 1 y 313.3B3or x 2 x 4 y 1 y 3B2 for 3 correct inequalitiesB1 for 2 correct inequalities(Treat double-ended inequalities as two separateinequalities)Accept and throughoutTotal 3 marks14.2(6 x 1) 3(5x 2) or4M12(6 x 1)3(5 x 2) (5 x 2)(6 x 1) (5 x 2)(6 x 1)12 x 2 15 x 6 orM112 x 215 x 6 (5 x 2)(6 x 1) (5 x 2)(6 x 1)3x 8 or 3x 8 or3x 2 6 or 3x 6 2or 15x 12x 8or 12x 15x 8 or3x 8 0Need to see both expressions in an equationMay be implied by second M1;NB: Denominators must be correctNeed to see both expressions in an equationNB: Denominators must be correctM1223oeA1dep on awarding first two method marksfor correct rearrangement with x terms on one side andnumbers on the other AND correct collection of terms onat least one sideor for 3x 8 02for 2 oe including decimal equivalent rounded or3truncated to at least 2 decimal placesAward 4 marks if first two method marks scored andanswer correct.Total 4 marks
15.16.(a)5x3y22B2(b)8n122B2(a)(b)4 12 28 60 132 160Points correct12B1B1Curve or line segments(c)80 (or 80.5) indicated on cf graphor statedB12approx 4.3M1A1B1 for 2 of 5, x3, y2 correct in a singleproduct with no additional terms or 5x52 6-4yB1 for 8 or n12 in a productTotal 4 markscao ½ sq ft from sensible tableie clear attempt to add frequenciesft from points if 4 or 5 correct or if allpoints are plotted consistently within eachinterval at the correct heightsAccept curve which is not joined to theoriginfor 80 (or 80.5) indicated oncf axis or statedIf M1 scored, ft from cf graphIf no indication of method, ft only fromcorrect curve & if answer is correct ( ½sq tolerance) award M1 A1Total 5 marks
17.(a)7BCBC 5.2oe oroe 5 . 2 5 .675. 6(b)DE 5.6DE 7.5 oe oroe7. 575 .677 .55.2DEDEoroe or 5.2 "6.5"7.5 "6.5"2M12A1M13A1M16.56(c)(scale factor ) eg75.645oror oe or oe545.67(May be implied by second M1)allow ratio notationcaoAlso awardM1 forht of CDE45 (scale factor)2M12245eg oe or 0.64 or oe 1.5625 5 for correct, relevant proportionalitystatement with 3 values substitutedcaofor correct, relevant proportionalitystatement with 3 values substituted211 7.52( 4.48)Also awardM1 forM2 foreg.( Area ABC )1 7 "6.5" sin C 221and( Area CDE )1 5.2 5.6 sin C21 "6" " 4.48"2 4 allow ratio notationAlso award M2 for s 5 . 2 5 .6 " 6 "( 28.4)and Area "8.4 " ("8.4 " 5.2)("8.4 " 5.6)("8.4 " "6" )13.44A1Also accept 13.4 if both method marksscoredTotal 7 marks
18.3 2 22 4 5 4or for this2 5expression with one or more of 22,4 5 ( 4), 2 5 or 22 4 5 ( 4) 2 84104 80 or 2 21 or 9.165 M1for correct substitution(brackets not necessary)M1A1(independent) for correct simplification ofdiscriminant(if evaluated, at least 3sf rounded ortruncated)for values rounding to 1.12 and 0.717( 1.11651 , 0.71651 )Award 3 marks if first M1 scored andanswer correct.Total 3 marksM1Acceptevaluated eg84 or 1.12, 0.71719.312 3 a 4 a a or12 7 a aa 5k 7A1B1a a or ( a )2 instead of aAward B3 fora 25, k 11 ora 1, k 3Total 3 marks
20.(a)4 3 5 521225(b)oe4 21 3 , 5 55 5or 0.32 oe or 0.12oe4 2 1 3 5 5 5 53clearly associated with box Y5(eg may be on tree diagram or by box)or probability ofA131125M1oe45 251 3 5 5M1forM1for sum of both productsorA1Total 5 marks21.(a)t kf 20.02 k 82 or1k or3200k 0.0003125 or3.125 10-43M1M1t 0.0003125f 21or t f2A1Award 3 marks if answer ist kf 2 but k is evaluated in part (b)M1for substitution and rearrangement into form f 2 3200(b)20.0098orf2 0.0003125f2 for t kf 2 but not for t f 2Also award for correct equation in t, f 2 and a constant or for t some numerical value f 2for 0.02 k 82 or for correct substitution into an equation whichscores the first method mark (may be implied by correct evaluationof the constant)0.0098withktheir value of k except for k 10.0098 2or f 2 80.020.0098 2 80.025.6 oeA1Total 5 marks
PAO 90 or PBO AOB 2 76 or 152 22.4 90 or POA 76 or POB 76 360 (“152” 90 90) or2 (180 76 90) or180 2 76M1M1M128or M2for PBA 76 or PAB 76 implies previous twomarksAngles may be stated ormarked on diagram or used incalculations provided any use isnot ambiguousA1Total 4 marks23.45(a)(b)oe11or2x 1 1( x 1) 11B12M11xA1Also accept x 1Total 3 marks24.31 41100oe eg 5 , , 0.8(0),, 80%,51.25125M1Alternative method (assigns values todistance and average speed)4M1 for calculating both times correctlyM1 (dep) for findingddt1 and t2 s(1 0.25) st1or 0.8t21 0.8 oe eg 1 45Mon time - Tues timeMon timeM1, 100% 80%20A1caoTotal 3 marks
25. ADC 149 or CAD 21 6AC16.5 sin 149 sin 10 16.5 sin 149 ( AC )sin 10 CD16.5 sin 21 sin 10 16.5 sin 21 (CD) sin 10 (AC ) 48.938 (CD ) 34.052 (AB ) “48.938 ” sin 69 (BD ) “34.052 ” sin59 or 45.6(88.)or 29.1(88 )45.7Alternativescheme(BD )BC tan 59 oeMay be stated or marked on diagramfor correct substitution in Sine RuleM1for correct rearrangementA1for correct length of AC or CD (roundedor truncated to at least 3 sf)rounded or truncated to at least 3 sfM16BD 16.5 BC tan 69 oetan 69 BD 16.5 BD oetan 59 tan 69 1 BD 16.5 tan 59 B1M1A1for ans which rounds to 45.7Total 6 marksM1Accept any clearnotation throughoutM1or 0.5652 BD 16.5 oe(BD ) 29.188 45.7M1for equation in one variableM1for correct equation for one variable in theform ax bA1A1for value which rounds to 29.2for ans which rounds to 45.7Total 6 marks
26.6x 2 (3x 2)2 20M1x 2 9x 2 6 x 6 x 4 20or x 2 9x 2 12 x 4 202 y 2 2 y 20 3 y 2 4y 4 y 2 20 9 2 y 2y 2y 4 y 2 20or 9 M1 (indep) for correct expansion of2y 2 (3x 2)2 or even if unsimplified 3 5x 2 6 x 8( 0)A15y2 2y 88 ( 0) oeCondone omission of ‘ 0’M1(5y 22)(y 4) ( 0) oeor 10 x 2 12 x 16( 0)(5x 4)(x 2) ( 0)or (10x 8)(x 2) ( 0)or (5x 4)(2x 4) ( 0)or 5x(x 2) 4(x 2) ( 0)or x(5x 4) 2(5x 4)( 0)or2 ( 2) 2 4 5 88or better2 5Condone omission of ‘ 0’or 6 62 4 5 8or better2 5 12 122 4 10 16or betteror2 10x 45or x 2x 45,y 425x 2, y 425A1y 4A1No marks forx 2, y 4with no workingor y 4dep on allprecedingmarksTotal 6 marks
Further copies of this publication are available fromEdexcel Publications, Adamsway, Mansfield, Notts, NG18 4FNTelephone 01623 467467Fax 01623 450481Email publication.orders@edexcel.comOrder Code UG034742 January 2013For more information on Edexcel qualifications, please visit our websitewww.edexcel.comPearson Education Limited. Registered company number 872828with its registered office at Edinburgh Gate, Harlow, Essex CM20 2JE
International GCSE and Level 1/Level 2 Certificate in Maths Jan 2013 – Paper 4H Mark scheme Apart from Questions 10, 14, 18 and 26 (where the mark scheme states otherwise) the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method. Q Working Answer Mark Notes 1.
CSEC English A Specimen Papers and Mark Schemes: Paper 01 92 Mark Scheme 107 Paper 02 108 Mark Scheme 131 Paper 032 146 Mark Scheme 154 CSEC English B Specimen Papers and Mark Schemes: Paper 01 159 Mark Scheme 178 Paper 02 180 Mark Scheme 197 Paper 032 232 Mark Scheme 240 CSEC English A Subject Reports: January 2004 June 2004
Matthew 27 Matthew 28 Mark 1 Mark 2 Mark 3 Mark 4 Mark 5 Mark 6 Mark 7 Mark 8 Mark 9 Mark 10 Mark 11 Mark 12 Mark 13 Mark 14 Mark 15 Mark 16 Catch-up Day CORAMDEOBIBLE.CHURCH/TOGETHER PAGE 1 OF 1 MAY 16 . Proverbs 2—3 Psalms 13—15 Psalms 16—17 Psalm 18 Psalms 19—21 Psalms
Examiners should mark according to the mark scheme not according to their perception of where the grade boundaries may lie. All marks on the mark scheme should be used appropriately. All marks on the mark scheme are designed to be awarded. Examiners should always award full marks if deserved, i.e. if the answer matches the mark scheme.
Mark Scheme (Results) January 2013 GCE Accounting (6001/01) . mark scheme to a candidate’s response, the team leader must be consulted. Crossed out work should be marked UNLESS the candidate has . Answer Mark 2(b) (i) Sundry Expenses Account 1 January Balance b/d 600 31 December Income Statement 1 550 .
H567/03 Mark Scheme June 2018 6 USING THE MARK SCHEME Please study this Mark Scheme carefully. The Mark Scheme is an integral part of the process that begins with the setting of the question paper and ends with the awarding of grades. Question papers and Mark Schemes are d
the mark scheme should be used appropriately. All the marks on the mark scheme are designed to be awarded. Examiners should always award full marks if deserved, i.e. if the answer matches the mark scheme. Examiners should also be prepared to award zero marks if the candidate’s response is not worthy of credit according to the mark scheme.
2013 Subject Report -June 307 2014 Subject Report -June 324 2015 Subject Report -January 341 2015 Subject Report -May/June 351 2016 Subject Report -January 366 CSEC Social Studies Extra Information: Cut Scores 381 Mark Scheme Paper 02 January 2013 383 Mark Scheme Paper 032 January 2013 404 Specific Objectives 411
Mark scheme for Paper 1 Tiers 3-5, 4-6, 5-7 and 6-8 National curriculum assessments ALL TIERS Ma KEY STAGE 3 2009. 2009 KS3 Mathematics test mark scheme: Paper 1 Introduction 2 Introduction This booklet contains the mark scheme for paper 1 at all tiers. The paper 2 mark scheme is printed in a separate booklet. Questions have been given names so that each one has a unique identifi er .
