Mark Scheme (Results) March 2013

Mark Scheme (Results)March 2013GCSE Mathematics (Linear) 1MA0Higher (Calculator) Paper 2H

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NOTES ON MARKING PRINCIPLES1All candidates must receive the same treatment. Examiners must mark the first candidate in exactly the same way asthey mark the last.2Mark schemes should be applied positively. Candidates must be rewarded for what they have shown they can dorather than penalised for omissions.3All 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’sresponse is not worthy of credit according to the mark scheme.4Where some judgement is required, mark schemes will provide the principles by which marks will be awarded andexemplification may be limited.5Crossed out work should be marked UNLESS the candidate has replaced it with an alternative response.6Mark schemes will indicate within the table where, and which strands of QWC, are being assessed. The strands are asfollows:i) ensure that text is legible and that spelling, punctuation and grammar are accurate so that meaning is clearComprehension and meaning is clear by using correct notation and labeling conventions.ii) select and use a form and style of writing appropriate to purpose and to complex subject matterReasoning, explanation or argument is correct and appropriately structured to convey mathematical reasoning.iii) organise information clearly and coherently, using specialist vocabulary when appropriate.The mathematical methods and processes used are coherently and clearly organised and the appropriatemathematical vocabulary used.

7With workingIf there is a wrong answer indicated on the answer line always check the working in the body of the script (and on anydiagrams), and award any marks appropriate from the mark scheme.If working is crossed out and still legible, then it should be given any appropriate marks, as long as it has not beenreplaced by alternative work.If it is clear from the working that the “correct” answer has been obtained from incorrect working, award 0 marks.Send the response to review, and discuss each of these situations with your Team Leader.If there is no answer on the answer line then check the working for an obvious answer.Any case of suspected misread loses A (and B) marks on that part, but can gain the M marks. Discuss each of thesesituations with your Team Leader.If there is a choice of methods shown, then no marks should be awarded, unless the answer on the answer line makesclear the method that has been used.8Follow through marksFollow through marks which involve a single stage calculation can be awarded without working since you can checkthe answer yourself, but if ambiguous do not award.Follow through marks which involve more than one stage of calculation can only be awarded on sight of the relevantworking, even if it appears obvious that there is only one way you could get the answer given.9Ignoring subsequent workIt is appropriate to ignore subsequent work when the additional work does not change the answer in a way that isinappropriate for the question: e.g. incorrect cancelling of a fraction that would otherwise be correctIt is not appropriate to ignore subsequent work when the additional work essentially makes the answer incorrect e.g.algebra.Transcription errors occur when candidates present a correct answer in working, and write it incorrectly on the answerline; mark the correct answer.

10ProbabilityProbability answers must be given a fractions, percentages or decimals. If a candidate gives a decimal equivalent to aprobability, this should be written to at least 2 decimal places (unless tenths).Incorrect notation should lose the accuracy marks, but be awarded any implied method marks.If a probability answer is given on the answer line using both incorrect and correct notation, award the marks.If a probability fraction is given then cancelled incorrectly, ignore the incorrectly cancelled answer.11Linear equationsFull marks can be gained if the solution alone is given on the answer line, or otherwise unambiguously indicated inworking (without contradiction elsewhere). Where the correct solution only is shown substituted, but not identified asthe solution, the accuracy mark is lost but any method marks can be awarded.12Parts of questionsUnless allowed by the mark scheme, the marks allocated to one part of the question CANNOT be awarded in another.

13Range of answersUnless otherwise stated, when an answer is given as a range (e.g 3.5 – 4.2) then this is inclusive of the end points(e.g 3.5, 4.2) and includes all numbers within the range (e.g 4, 4.1)Guidance on the use of codes within this mark schemeM1 – method markA1 – accuracy markB1 – Working markC1 – communication markQWC – quality of written communicationoe – or equivalentcao – correct answer onlyft – follow throughsc – special casedep – dependent (on a previous mark or conclusion)indep – independentisw – ignore subsequent working

1MA0 2HQuestion1WorkingAnswer12347 8 8 90 0 1 2 3 53 7 72Mark39NotesB2 for a fully correct ordered diagram(B1 for correct unordered diagram or ordered with at most two errors oromissions)B1 for a correct key1 8 represents 18Accept stem written as 10, 20 etc but key only acceptable if consistent withthis*2No comparison3M1 for a correct start to the processeg.oror orM1 for completion of a fully correct method that will lead to an appropriatecomparisonC1 (dep on M2) for a correct statement with conclusion with 500 gor 25g more neededor 19 cakesor 25g and 23.75gSC :If no working then B1 for a correct statement with correct figures andunits

1MA0 2HQuestion34AnswerMark(a)301B1 for 30 minutes(b)201B1 cao(c)graph completed2B1 for horizontal line from (5, 20) to (5.30, 20)B1 for a single straight line with the correct gradient from ‘(5.30, 20)’ to thetime axis0.353M1 for correctly using total probability is 1 or 100% if percentages usedM1 (dep) for complete correct method to complete the solutionoeA1 for 0.35 or 35% or202M1 for 0.1 200 oeA1 cao(a)Working1 0.2 0.10.7 2(b)NotesSC : If M0 then award B1 for an answer of5π 5 1.8028.273M1 for use of π x (with x 5 or x 2.5) or 2 π x (with x 5 or x 2.5)M1 for π 5 1.8(0) or 2 π 2.5 1.8(0)A1 for 28.26 or 28.27 or 28.28 or 28.3(0) or 28.8(0)

1MA0 2HQuestion6WorkingAnswerMark414.965NotesM1 for a correct method to work out the amount of oil required to fill the tankM1 for a correct method to find the cost of oil required before the discountM1 for a correct method of finding 5% of their calculated costM1 (dep on previous M1) for a correct method to find the discounted costA1 for correct answer of 414.96 or 41496pORM1 for a correct method of finding 5% of the cost of 1 litre of oilM1 (dep on previous M1) for a correct method to find the discounted cost of 1litre of oilM1 for a correct method to work out the amount of oil required to fill the tankM1 for a correct method to find the discounted cost of the oil requiredA1 for correct answer of 414.96 or 41496pORM1 for a correct method to work out the amount of oil required to fill the tankM1 for a correct method of finding 5% of their calculated amount of oilM1 (dep on previous M1) for a correct method to find the reduced amount of oilM1 for a correct method to find the cost of the reduced amount of oilA1 for correct answer of 414.96 or 41496p

1MA0 2HQuestion7*WorkingAnswerMark(a)2.52*(b)Yes evidence2NotesM1 for 15 6 oeA1 for 2.5 or 2M1 for a correct method to change 15 miles into kilometresC1(dep M1) for 24 km and statement with correct conclusion[SC: B1 for “Yes” oe and 24 km shown if M0 scored]orM1 for a correct method to change 20 kilometres into milesC1(dep M1) for 12.5 miles and statement with correct conclusion[SC: B1 for “Yes” oe and 12.5 miles shown if M0 scored]

1MA0 � NotesB2 for a trial 2.8 x 2.9 evaluated correctly(B1 for a trial evaluated correctly for 2 x 3 )B1 for a different trial evaluated correctly for 2.85 x 2.9B1 (dep on at least one previous B1) for 2.9NBFor trials where x has one decimal place:x 2.6 trials must be evaluated to at least 1 sf truncated or rounded2.6 x 2.85 trials must be evaluated to at least 2 sf truncated orrounded2.85 x 2.9 trials must be evaluated to at least 3 sf truncated orroundedNB. Accept 15 or 15.0 for trial at x 2.87No working scores 0 marks.If candidate is clearly working with x3 3x 15 0 then usesame scheme as above but subtract 15 from all evaluatedvalues in the table

1MA0 2HQuestionWorking9AnswerMark11803NotesM1 for a correct method to find the area of the cross sectionM1 (dep) for a complete correct method for the volume of theprismA1 caoOR10Translation;2M1 for a correct method to find the volume of one cuboidM1 (dep) for a complete correct method for the volume of theprismA1 caoB1 for translationB1 forNB: B0 if more than one transformation given11(a)3x 12 10x 2(b)2x² 8x x 4(c)13x 102M1 for correct method to expand one bracketeg 3 x 3 4 or 3x 12 or 2 5x 2 1 or 10x 2A1 for 13x 102x² 7x 42M1 for all 4 terms (and no additional terms) correct ignoring signsor3 out of no more than four terms correctA1 for 2x² 7x 43y(2y 3x)2B2 for 3y(2y 3x)(B1 for 3(2y² 3xy) or y(6y 9x) or 3y(2y 3x) or3y(2y ax) where a is any positive integer except 3 or3y(by 3x) where b is any positive integer except 2)

1MA0 2HQuestion12WorkingAnswerMarkNotes(a) 2, 1, 0, 1,2B2 for all 4 correct values; ignore repeats, any order(B1 for 3 correct (and no incorrect values) eg. 2, 1, 0 orone additional value eg. 3, 2, 1, 0, 1)(b)p 62M1 for clear intention to add 7 to both sides or 3p 11 7 orclear intention to divide all 3 terms by 3 as a first stepor3p 18 or 3p 18 or 3p 18 orA1 for p 6 as final answerNB: (p ) 6 on the answer line scores M1 A013(a)11.53(b)47.23M1 for 13² 6² or 169 36 or 1336 " or 133M1 (dep on M1) for "13A1 for answer in the range 11.5 11.6M1 for cos (RPQ) oe OR sin PQR with PQR clearly identifiedM1 for (RPQ ) cos-1 oe OR PQR sin-1A1 for answer in the range 47.1 47.2with PQR clearly identifiedSC : B2 for an answer of 0.823(033.) or 52.3(95.) or 52.4