Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a widerange ofqualifications including academic, vocational, occupational and specific programmes for employers. Through anetwork 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 08445760025, 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 Examiners’ Report that require the helpofa 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/June 2011Publications Code UA027654All the material in thispublication is copyright © Edexcel Ltd 2011www.mymathscloud.com
GCE Core Mathematics C1 (6663) June 2011 1 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: !Mmarks: method marks are awarded for ‘knowing a method and attempting to apply it’, unless otherwise indicated.!A marks: Accuracy marks can only be awarded ifthe 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 www.mymathscloud.com
1 GCE Core Mathematics C1 (6663) June 2011June 2011 Core Mathematics C1 6663 Mark Scheme Question Number SchemeMarks 1. (a) 5 (or 5" ) B1 (1)(b) 232325125#$or2325=125 or better M1 1251 or 0.008 (or"1251 ) A1 (2)3Notes(a) Give B1 for 5 or 5" Anything else is B0 (including just –5) (b) M: Requires reciprocal OR2325= 125 Accept 311156255,,1255% , 12525, 3125for M1Correct answer with no working ( or notation errors in working) scores both marks i.e. M1 A1M1A0 for - 1251 without +1251www.mymathscloud.com
2 GCE Core Mathematics C1 (6663) June 2011Question Number SchemeMarks 2. (a) 44310dd$$#xxxy or 44310xx$M1 A1 A1(3)(b) & '#(27327622626$$$)#$))xxxxxxM1 A1 A1 + CB1 (4)7Notes(a) M1: Attempt to differentiate 1nnxx$* (for any of the 3 terms) i.e. 44or axax$, where a is any non-zero constant or the 7 differentiated to give 0 is sufficient evidence for M1 1st A1: One correct (non-zero)term, possibly unsimplified. 2nd A1: Fully correctsimplified answer.(b) M1: Attempt to integrate 1)*nnxx (i.e. 26or or$axaxax, where a is any non-zero constant). 1st A1: Two correct terms, possibly unsimplified. 2nd A1: All three terms correct and simplified. Allow correct equivalents to printed answer , e.g.621732xxx) $ or 6211732xxx$) $ Allow 613x or 17x B1: + C appearing at any stage in part (b) (independent of previous work) www.mymathscloud.com
3 GCE Core Mathematics C1 (6663) June 2011Question Number SchemeMarks 3. Mid-point of PQ is (4, 3) B1 PQ: +,-./0$#$$$#53,)1(960mB1 Gradient perpendicular to PQ15 ()3m#$#M1 53(4)3yx$ #$M1 53110xy$ $# or 3y – 5x +11 = 0 or multiples e.g. 10x – 6y – 22 = 0 A1 (5)5NotesB1: correct midpoint. B1: correct numerical expression for gradient – need not be simplified 1st M: Negative reciprocal of their numerical value for m 2nd M: Equation of a line through their (4, 3) with any gradient except 0 or !. If the 4 and 3 are the wrong way round the 2nd M mark can still be given if a correctformula (e.g. )(11xxmyy$#$) is seen, otherwise M0. If (4, 3) is substituted into cmxy)# to find c, the 2nd M mark is for attempting this. A1: Requires integer form with an = zero (see examples above) www.mymathscloud.com
