Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range of qualifications including academic, vocational, occupational and specific programmes for employers. Through a network of UK and overseas offices, Edexcel’s centres receive the support they need to help them deliver their education and training programmes to learners. For further information, please call our GCE line on 0844 576 0025, our GCSE team on 0844 576 0027, or visit our website at www.edexcel.com. If you have any subject specific questions about the content of this Mark Scheme that require the help of a subject specialist, you may find our Ask The Expert email service helpful. Ask The Expert can be accessed online at the following link: http://www.edexcel.com/Aboutus/contact-us/January 2012 Publications Code US030307 All the material in this publication is copyright © Pearson Education Ltd 2012 www.mymathscloud.com
General Marking Guidance •All candidates must receive the same treatment. Examiners must mark the first candidate in exactly the same way as they mark the last. •Mark schemes should be applied positively. Candidates must be rewarded for what they have shown they can do rather than penalised for omissions. •Examiners should mark according to the mark scheme not according to their perception of where the grade boundaries may lie. •There is no ceiling on achievement. All marks on 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. •Where some judgement is required, mark schemes will provide the principles by which marks will be awarded and exemplification may be limited. •When examiners are in doubt regarding the application of the mark scheme to a candidate’s response, the team leader must be consulted. •Crossed out work should be marked UNLESS the candidate has replaced it with an alternative response. www.mymathscloud.com
EDEXCEL GCE MATHEMATICSGeneral Instructions for Marking 1.The total number of marks for the paper is 75. 2.The Edexcel Mathematics mark schemes use the following types of marks: •M marks: method marks are awarded for ‘knowing a method and attempting to apply it’, unless otherwise indicated. •A marks: Accuracy marks can only be awarded if the relevant method (M) marks have been earned. •B marks are unconditional accuracy marks (independent of M marks) •Marks should not be subdivided. 3.Abbreviations These are some of the traditional marking abbreviations that will appear in the mark schemes and can be used if you are using the annotation facility on ePEN. •bod – benefit of doubt •ft – follow through •the symbol will be used for correct ft •cao – correct answer only •cso - correct solution only. There must be no errors in this part of the question to obtain this mark •isw – ignore subsequent working •awrt – answers which round to •SC: special case •oe – or equivalent (and appropriate) •dep – dependent •indep – independent •dp decimal places •sf significant figures • The answer is printed on the paper • The second mark is dependent on gaining the first mark 4.All A marks are ‘correct answer only’ (cao.), unless shown, for example, as A1 ft to indicate that previous wrong working is to be followed through. After a misread however, the subsequent A marks affected are treated as A ft, but manifestly absurd answers should never be awarded A marks. www.mymathscloud.com
General Principals for Core Mathematics Marking (But note that specific mark schemes may sometimes override these general principles). Method mark for solving 3 term quadratic: 1. Factorisationcpqqxpxcbxx=++=++where),)(()(2 , leading to x = .... amncpqqnxpmxcbxax==++=++andwhere),)(()(2, leading to x = ... 2. FormulaAttempt to use correct formula (with values for a, b and c), leading to x = ... 3. Completing the squareSolving 02=++cbxx: ()22, 0bxq cq±± ±≠, leading to x = ... Method marks for differentiation and integration: 1. DifferentiationPower of at least one term decreased by 1. (1−→nnxx) 2. IntegrationPower of at least one term increased by 1. (1+→nnxx) Use of a formula Where a method involves using a formula that has been learnt, the advice given in recent examiners’ reports is that the formula should be quoted first. Normal marking procedure is as follows: Method mark for quoting a correct formula and attempting to use it, even if there are mistakes in the substitution of values. Where the formula is not quoted, the method mark can be gained by implication from correctworking with values, but may be lost if there is any mistake in the working. www.mymathscloud.com
January 2012 C2 6664 Mark Scheme Question number Scheme Marks 1 (a) Uses ()1978360×, to obtain 28.5 M1, A1 (2)(b) Uses 207878360(1 ( ) )1−=−S, or 207878360(( )1)1S−=−to obtain 2680 M1, A1 (2) (c) Uses 783601=−S, to obtain 2880 M1, A1cao (2) 6Notes (a) M1: Correct use of formula with power = 19 A1: Accept 28.47, or 28.474 or indeed 28.47446075 (b)M1: Correct use of formula with n = 20 A1: Accept 2681, 2680.7, 2680.68 or 2680.679 or indeed 2680.678775 (N.B. 2680.67 or 2680.0 is A0) (c) M1: Correct use of formula A1: Accept 2880 only Alternative method Alternative to (a) Gives all 20 terms 315, 275.6(25), 241.17(1875), ... (1st 3 accurate) M1 All correct and last term as above A1: Accept 28.5, 28.47, or 28.474 or indeed 28.47446075 A1 Alternative to (b) Gives all 20 terms 315, 275.6(25), 241.17(1875), ... (1st 3 accurate) and addsM1 Sum correct A1: Accept 2680, 2681, 2680.7, 2680.68 or 2680.679 or indeed 2680.678775 A1 www.mymathscloud.com
