MATHEMATICS 8300/3F - Yorkshire Maths Tutor

GCSEMATHEMATICS8300/3FFoundation Tier Paper 3 CalculatorMark schemeNovember 2018Version: 1.0 Final*18bG83003F/MS*

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevantquestions, by a panel of subject teachers. This mark scheme includes any amendments made at thestandardisation events which all associates participate in and is the scheme which was used by them inthis examination. The standardisation process ensures that the mark scheme covers the students’responses to questions and that every associate understands and applies it in the same correct way.As preparation for standardisation each associate analyses a number of students’ scripts. Alternativeanswers not already covered by the mark scheme are discussed and legislated for. If, after thestandardisation process, associates encounter unusual answers which have not been raised they arerequired to refer these to the Lead Assessment Writer.It must be stressed that a mark scheme is a working document, in many cases further developed andexpanded on the basis of students’ reactions to a particular paper. Assumptions about future markschemes on the basis of one year’s document should be avoided; whilst the guiding principles ofassessment remain constant, details will change, depending on the content of a particular examinationpaper.Further copies of this mark scheme are available from aqa.org.ukCopyright 2018 AQA and its licensors. All rights reserved.AQA retains the copyright on all its publications. However, registered schools/colleges for AQA are permitted to copy material from thisbooklet for their own internal use, with the following important exception: AQA cannot give permission to schools/colleges to photocopy anymaterial that is acknowledged to a third party even for internal use within the centre.

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018Glossary for Mark SchemesGCSE examinations are marked in such a way as to award positive achievement wherever possible.Thus, for GCSE Mathematics papers, marks are awarded under various categories.If a student uses a method which is not explicitly covered by the mark scheme the same principles ofmarking should be applied. Credit should be given to any valid methods. Examiners should seek advicefrom their senior examiner if in any doubt.MMethod marks are awarded for a correct method which could leadto a correct answer.AAccuracy marks are awarded when following on from a correctmethod. It is not necessary to always see the method. This can beimplied.BMarks awarded independent of method.ftFollow through marks. Marks awarded for correct workingfollowing a mistake in an earlier step.SCSpecial case. Marks awarded for a common misinterpretationwhich has some mathematical worth.M depA method mark dependent on a previous method mark beingawarded.B depA mark that can only be awarded if a previous independent markhas been awarded.oeOr equivalent. Accept answers that are equivalent.eg accept 0.5 as well as12[a, b]Accept values between a and b inclusive.[a, b)Accept values a value b3.14 Accept answers which begin 3.14 eg 3.14, 3.142, 3.1416Use of bracketsIt is not necessary to see the bracketed work to award the marks.3

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018Examiners should consistently apply the following principlesDiagramsDiagrams that have working on them should be treated like normal responses. If a diagram has beenwritten on but the correct response is within the answer space, the work within the answer space should bemarked. Working on diagrams that contradicts work within the answer space is not to be considered aschoice but as working, and is not, therefore, penalised.Responses which appear to come from incorrect methodsWhenever there is doubt as to whether a student has used an incorrect method to obtain an answer, as ageneral principle, the benefit of doubt must be given to the student. In cases where there is no doubt thatthe answer has come from incorrect working then the student should be penalised.Questions which ask students to show workingInstructions on marking will be given but usually marks are not awarded to students who show no working.Questions which do not ask students to show workingAs a general principle, a correct response is awarded full marks.Misread or miscopyStudents often copy values from a question incorrectly. If the examiner thinks that the student has made agenuine misread, then only the accuracy marks (A or B marks), up to a maximum of 2 marks are penalised.The method marks can still be awarded.Further workOnce the correct answer has been seen, further working may be ignored unless it goes on to contradict thecorrect answer.ChoiceWhen a choice of answers and/or methods is given, mark each attempt. If both methods are valid thenM marks can be awarded but any incorrect answer or method would result in marks being lost.Work not replacedErased or crossed out work that is still legible should be marked.Work replacedErased or crossed out work that has been replaced is not awarded marks.Premature approximationRounding off too early can lead to inaccuracy in the final answer. This should be penalised by 1 markunless instructed otherwise.Continental notationAccept a comma used instead of a decimal point (for example, in measurements or currency), provided thatit is clear to the examiner that the student intended it to be a decimal point.4

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswer7.8 cm1CommentsB1Additional Guidance90 2B1Additional Guidance23B1Additional Guidance3254B1Additional Guidance965(a)B1Additional Guidance725(b)MarkB1Additional Guidance5

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswerMarkAny room correctly drawn to scaleComments 2 mmorany outline dimension correctlydrawn to scaleM1orany room dimension or outlinedimension correctly scaled andclearly relatedmay be on diagramAt least two rooms correctly drawnto scale in correct positionor6 2 mmM1depcorrectly drawn outline of plan toscaleFully correct scale drawing withcorrect room labelsA1 2 mm for outline and internal linesall lines must be ruledAdditional GuidanceFor 2nd method mark there should not be a gap shown between roomscorrectly drawn to scale in correct positionFully correct scale drawing with incorrect or missing room labelsCheck original diagram for clearly related scaled dimensionseg 8 (feet ) 4 (cm)Any correct outline dimensioneg 16 (feet ) 8 (cm) or 20 (feet ) 10 (cm) or 22 (feet ) 11 (cm)Additional Guidance continues on next page6M1M1A0M1M1

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER om6 contLiving roomFully correct scale drawing with correct room labels7

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswerMarkCommentsAlternative method 119 11 14 32 16 9 or 101orM131 18 28 12 or 89their 101 – their 89 20M1dep16their 101 and their 89 must come fromcorrect additionsA17Alternative method 219 11 14 32 16 9 31 18 28 12 or 190M1(their 190 – 20) 2 or 85orM1dep(their 190 20) 2 or 10516A1Continues on next page8

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswerMarkCommentsAlternative method 316B2 at least two correct evaluations ofthe two groups after numbers movedfrom A to Bandcorrect evaluation of the two groupsafter 16 moved from A to BorB3a correct single evaluation of the twogroups after 16 moved from A to BB1 a correct evaluation of the twogroups after a number moved from Ato BAdditional Guidance16 with no or insufficient working for M1 (Alt1 and Alt2)7 52168510520992986M0Differences do not need to be shown101 – 16 85 and 89 16 105 with answer 20B2A correct evaluation of the two groups after 16 moved from A to Btogether with only one other evaluation which is incorrect, without 16 asanswerB19

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswerMarkCommentsAlternative method 1300 3 or 900M1300 6 or 50hot dog salespacks of bread rollsorM1300 10 or 30jars of sausagestheir 50 42 ( 100) or 2100 or 21dep on 2nd M1orcost of bread rolls or cost of sausagestheir 30 2.5(0) or 758orM1dep96cost of bread rolls and sausagesor393total coststheir 900 – (their 21 their 75 240 57)oeorM1depdep on all M markstotal profit from sales – coststheir 900 – their 393507A1correct money notationContinues on next page10

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswerMarkCommentsAlternative method 2240 300 or 0.8market fee per hot dogor42 6 or 7cost of bread roll per hot dogorM12.5(0) 10 or 0.25cost of sausage per hot dogor57 300 or 0.19other costs per hot dogAny two of240 300 or 0.842 6 or 7M1dep2.5(0) 10 or 0.2557 300 or 0.198 conttheir 0.8 their 0.07 their 0.25 their 0.19or 1.31total cost per hot dogM1deptheir values must come from correctcalculations1.69 implies M3(3 – their 1.31) 300or 1.69 300507M1depA1total profit for 300 hot dogscorrect money notationAdditional GuidanceAccept working in pounds or pence for all four method marksIn Alt1 units must be consistent for the 4th method markIn Alt2 units must be consistent for the 3rd method markCondone 507.00pM1M1M1M1A1Answer 507.0M1M1M1M1A011

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswerMark0 and 5 identifiedM15A1CommentsAdditional Guidance9(a)0 – 5 or 0 to 5 and answer 5M1A10 – 5 or 0 to 5 without answer 5M1A030 6 5M0A03 42or30 1or 15.52or(between) 15th and 16th (value)orM1identifies 3 and 4orcorrect numbers listed in eitherorder to at least 16th value9(b)0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3,3, 4or5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4,4, 33.5A1Additional GuidanceCorrect ordered list of at least 16 terms starting from 0 or 51, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5correct ordered list starting from 53 4 3.5 and 3 or 4 houses written on answer line212M1M1M1A0

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswerMarkCommentsAlternative method 1185 000 239 000 136 000M1or 560 000their 560 000 0.02M1dep11 200A1oeSC1 33 600Alternative method 2185 000 0.02 or 3700oeor239 000 0.02 or 4780M1or136 000 0.02 or 2720185 000 0.02 239 000 0.02 136 000 0.02oeM1deportheir 3700 their 4780 their 27209(c)11 200A1SC1 33 600Alternative method 3185 000 1.02 or 188 700oeor239 000 1.02 or 243 780M1or136 000 1.02 or 138 720(185 000 239 000 136 000) 1.02 or 571 200oroeM1deptheir 188 700 their 243 780 their 138 72011 200A1SC1 33 600Additional Guidance560 000 11 200M1M1A0560 000 0.02 11 200 with 11 200 3M1M0A013

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswerMark1or 0.2 or 20%5B1Commentsoe fraction, decimal or percentageAdditional GuidanceIgnore further working with any description of probability eg1unlikely5B110(a)1 : 5 in working with1on answer line5B11 : 5 on answer line1 out of 5 withoutB01in working5B01or 0.2 or 20%5B1oe fraction, decimal or percentageAdditional GuidanceIgnore further working with any description of probability eg1unlikely5B110(b)1 : 5 in working with1on answer line5B11 : 5 on answer line1 out of 5 without85 B01in working5B02or 85 5 2 or 85 0.45 2 34or 5 85M110(c)34A1Additional Guidance34 out of 85 on answer line14M1A1

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswer72911CommentsB1Additional Guidance312Mark34B1Additional Guidance15

MARK SCHEME – GCSE MATHEMATICS – 8300/3F – NOVEMBER 2018QuestionAnswerMarkCommentsAlternative method 1152 or 225their 225 9 or 255M1M1depoeA1Alternative method 29 or 3orM111or93oe15 their 3or13M1dep115 their35A1Alternative method 321 x 15 9 ( x 2 )15 2or 2595M1oeM1depoeA1Additional Guidance3x 1552 25 without 5 on answer line1 : 3 or 3 : 116M1M1M1M1A0M1