GCSE Mathematics (Specification A) Mark Scheme …

1 Version Certificate of Secondary EducationMathematics 4306 specification APaper 1 FoundationMark Scheme2009 examination - November seriesMark schemes are prepared by the Principal Examiner and considered, together with therelevant questions, by a panel of subject mark Scheme includes anyamendments made at the standardisation meeting attended by all examiners and is the schemewhich was used by them in this examination. The standardisation meeting ensures that themark Scheme covers the candidates responses to questions and that every examinerunderstands and applies it in the same correct way.

2 As preparation for the standardisationmeeting each examiner analyses a number of candidates scripts: alternative answers notalready covered by the mark Scheme are discussed at the meeting and legislated for. If, afterthis meeting, examiners encounter unusual answers which have not been discussed at themeeting they are required to refer these to the Principal must be stressed that a mark Scheme is a working document, in many cases furtherdeveloped and expanded on the basis of candidates reactions to a particular about future mark schemes on the basis of one year s document should beavoided.

3 Whilst the guiding principles of assessment remain constant, details will change,depending on the content of a particular examination copies of this Mark Scheme are available to download from the AQA Website: 2009 AQA and its licensors. All rights retains the copyright on all its publications. However, registered centres for AQA are permitted to copy materialfrom this booklet for their own internal use, with the following important exception: AQA cannot give permission tocentres to photocopy any material that is acknowledged to a third party even for internal use within the and published by the Assessment and Qualifications Assessment and Qualifications Alliance (AQA) is a company limited by guarantee registered in England and Wales (company number 3644723) and a registered charity (registered charity number 1073334).

4 Registered address: AQA, Devas Street, Manchester M15 6 EXDr Michael Cresswell Director GeneralMathematics - AQA GCSE Mark Scheme 2009 November series3 Glossary 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 marks are awarded for a correct method which could lead to acorrect marks are awarded when following on from a correct is not necessary to always see the method. This can be awarded independent of method mark dependent on a previous method mark being mark that can only be awarded if a previous independent mark hasbeen through marks.

5 Marks awarded following a mistake in an case. Marks awarded within the Scheme for a commonmisinterpretation which has some mathematical equivalent. Accept answers that are , accept as well as21 Mathematics - AQA GCSE Mark Scheme 2009 November series4 QAnswersMarkComments1(a) not accept (b) ftallow if in (a)2(a)(i)1 B1oe2(a)(ii)1500B1 ft2(b)2 + 2 + 1B1oe3(a)7 ( 2mm)B13(b)70 ( 2 )B13(c)AC= 7 cm or angleC= 70 B1oe eg 2 angles the same or 2 sides the same4(a)(i)15B14(a)(ii)25B14(b)85and1612 B1 + B1536 42 inclusive B2 B1 33 A < 36 or 42 < A 45 6(a)(i)4 B1oe6(a)(ii)45B16(b)(i)5B16(b)(ii)a different multiple of 4B16(c)

6 Ticks 3rdstatementB172ndstatement to certainB13rdstatement to likelyB14thstatement to unlikelyB18(a)24 8 5M115A18(b)50 8 5 or 30 5 8M1oe eg 24 2 from (a) 6 5 = 30 or = 48 50 A1 oe eg 5 = ( 30) or 48 ( 50) 8(c)5 and 8B1oe. eg. accept in words or 10 and 16 Mathematics - AQA GCSE Mark Scheme 2009 November series59(a) (= 25%)B1oe allow 90 or right angle9(b)100 (35 + 25 +13 +12)M1oe eg 50 3515A19(c)10012 200 or 2 12M1oe allow sight of digits 2424A110rectanglerhombusparallelogramB3- 1 eeoo11(a)3B111(b) x= 20M1allow 18 22 inclusive(Their 20) 10M1 dep2A112(a)Columns aligned correctly with5 in units columnM1allow build up methods535A112(b)3 in units column and attempt tocarry into the tens columnM1allow build up methods233A112(c)17 + 15M132A112(d) (e)

7 12960M1allow equivalent methods324M113284A113(a)9xB113(b)6x+ 4yB2B1 for 6xor 4y13(c)-2(3 3 + 1) or betterM1eg -2(9 + 1) or -2 10 or (-2 9) + (-2 1)-20or-2 2 or-18 +-255M1 dep-4A1SC2 for 4 Mathematics - AQA GCSE Mark Scheme 2009 November series614(a)2 3 5M130A114(b)3 correct faces drawnB3-1 eeoo14(c)6 (+) 10 (+) 15 or 31or 2 6, 2 10, 2 15or 12, 20, 30M1allow 1 error(their 31) 2ortheir 12 + their 20 + their 30M1depoe62A1SC2 for 47 if top face missing on netor 57 if top face drawn as 5 2 rectanglecm2B1units mark15(a)4876 179395in correct cellsB3B2 for 3 or 4 correctB1 for 1 or 2 correctlook for any answers clearly stated in the working15(b)For how long do you use thetreadmill?

8 B1oemust be time related questionnoteg how many times used Boxes to cover all possibilitiesTheremustbe a reference tominutes or hours in either thequestion or the response sectionB1at least 3 boxes, including 0must not overlap, no gaps16 (a)43 200 or 50 3 or 150M1oeor43+51or 75(%) + 20(%)51 200 or 200 5 or 40M1oeor2019or 95(%)200 (their 150 + their 40)M1depdep on at least one M1 gainedor 1 (their2019) or201or 100(%) their 95(%) or 5(%)10A1ftallow ft from51of 50 or51of 150 provided M1depawarded16(b)200110 100 or 110 2M1oe55A11782 = 64 or 64 = 8 B1 92 = 81 or 81 = 9 B1 Mathematics - AQA GCSE Mark Scheme 2009 November series718450 and 15 and 90B3B2 for any two of 450, 15 and 90B1 for any one of 450, 15 and 90orfor sight of43oeorfor23(or32) (T)or201(or 20) (M)or103(or310) (C)19(a)Sight ofx+ 125 orx+ (x+ 125) (= 8x)A1oe19(b)375 = 5xor 375 = 8x 3xM1allow marks for solution done in (a) unless there is acontradiction in (b)75A120(a)Correct reflectionB2B1 for reflection inx= 1 orx-axis ory-axis20(b)

9 Correct rotationB3B2 for 90 rotation clockwise about any point otherthanOB2 for 90 rotationanticlockwise aboutOB1 for 90 rotationanticlockwise about any pointother thanOSC2 for theirBcorrectly rotated21 Anytwoof 400 or 3 or seenM11200or 400 6 or 800 398 6 or 796 2388ft for A1 for correct division by if first M1earned22(a)Line from (9, 0) to ( , )B1oeHorizontal line for 30 minutesfrom their ( , )B1ftLine to (12, 0)from their (11, )B1 ft22(b) ftoeMathematics - AQA GCSE Mark Scheme 2009 November series823(a)(i)20048B1oe23(a)(ii) correct theoretical valuesfor the coloursred = 100 green = 50blue = 25 yellow = 25orcorrectly comparing all of therelative frequencies with thetheoretical probabilitiesorcorrectly comparing the ratiosof all the colours, bothexperimental and theoreticalE2E1 for of the correct theoretical values for the coloursorone correct relative frequency/theoretical probabilitycomparisonorcorrectly comparing the ratios of two colours, bothexperimental and theoretical23(b)Not enough trialsE1o