AQA Qualifications AQA Level 2 Certificate FURTHER

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AQA QualificationsAQA Level 2 CertificateFURTHER MATHEMATICSLevel 2 (8360)Mark SchemeWorksheet 11SequencesVersion 2.0

Our specification is published on our website (www.aqa.org.uk). We will let centres know inwriting about any changes to the specification. We will also publish changes on our website. Thedefinitive version of our specification will always be the one on our website, this may differ fromprinted versions.You can get further copies of this Teacher Resource from:The GCSE Mathematics DepartmentAQADevas StreetManchesterM16 6EXOr, you can download a copy from our All About Maths website (http://allaboutmaths.aqa.org.uk/).Copyright 2012 AQA and its licensors. All rights reserved.AQA retains the copyright on all its publications, including the specifications. However, registeredcentres for AQA are permitted to copy material from this specification booklet for their own internaluse.AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee registered in England and Wales (number3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.

Glossary for Mark SchemesThese examinations are marked in such a way as to award positive achievement wherever possible. Thus,for these papers, marks are awarded under various categories.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.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.ftFollow through marks. Marks awarded following a mistake in anearlier step.SCSpecial case. Marks awarded within the scheme for a commonmisinterpretation which has some mathematical worth.oeOr equivalent. Accept answers that are equivalent.eg, accept 0.5 as well as123

11SequencesFor the nth terms of quadratic sequences two methods are shown (see example 2).Other valid methods may be used.Question Answer12Mark 4nM1254 4nA1254 4n 0M164thA1Method AM1891145423941134 4nth term of this sequence is11GivingAlt 2oe36Subtract 2n 2 from sequence6CommentsA1 M1 5n2n 2 5n 11Method BUsing an 2 bn cA1M1a b c 84a 2b c 99a 3b c 143a b 1M15a b 5a 2 and b 5Giving42n 2 5n 11A1A1oe

Level 2 Certificate in Further Mathematics: Worksheet 1 – Mark SchemeCoordinate Geometry – CirclesLEVEL 2 CERTIFICATE FURTHER MATHEMATICSQuestionAnswerMarkComments3(a)Use Method A or B from Q23 marksor any other valid method3(b)(i)n 2 3n 1B13(b)(ii)n 2 4nB14(a)3n 1B14(b)(3n 1) 2B1oe4(c)49 169 7 2 13 2B1oe 828130th is 91 2M1 (7 13) 2A1oe 8281 7 2 13 25nth term of lengths isnth term of widths isn 3n 2M1M1Area is (n 3)(n 2)M1n 2 3n 2n 6A1 n 2 5n 6Alt 54 marksnth term of1220or any other valid method30by Method A or Method B6(a)M1a 9b 35a 15b 596(b)6b 24M1b 4A1a 1A1 ft38n 51119 oeB1 ftB1 ft5

Level 2 Certificate in Further Mathematics: Worksheet 1 – Mark SchemeCoordinate Geometry – CirclesQuestion Answer7(a)MarkComments3 n 1 3( n 1) 1 n 1nM1oeeg subtracts in different order(3n 1)( n 1) n (3n 4)n ( n 1)M1oe3n 2 n 3n 1 3n 2 4nn ( n 1)A1 Alt 7(a)1n ( n 1)3n 1n(3 3 1n1) (3n 1)n 1n 1 nn ( n 1) 7(b)7(c)6M1oeeg subtracts in different orderM1oeA11n ( n 1)Any substitution and evaluation for1neg11 9 1090or11 10 11110M11010th and 11thA13B1oeeg 1 0.01n 2 0.01n and attempt to solve

Level 2 Certificate in Further Mathematics: Worksheet 1 – Mark SchemeCoordinate Geometry – CirclesLEVEL 2 CERTIFICATE FURTHER MATHEMATICSQuestionAnswerMarkComments85n 25n2 2n2n2nM1oe 5 1 2 n 1n9 0 as n S 5( 2.5)2A1Odd number is 2n 1 or 2n 1M12n 1 andM12n 1Sequence is (2n 1)(2n 1)A1( 4n 2 1)Alt 9Using Method A or Method B giving3 marks4n 2 110(a)1449161636643153563T1 15B1T2 714B1oe523 101010B1oe23B1( 10(b)or any other valid methodeg n2 4n 2 4n 2 –11)27

AQA retains the copyright on all its publications, including the specifications. However, registered centres for AQA are permitted to copy material from this specification booklet for their own internal use. AQA Education (AQA) is a registered charity (number 1073334) and a company lim

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