Version 1.0. Level 2 Certificate in Further Mathematics June Paper /2. Final. Mark Scheme


 Kenneth Baldwin
 1 years ago
 Views:
Transcription
1 Version.0 Level Certificate in Further Mathematics June 0 Paper 80/ Final Mark Scheme
2 Mark schemes are prepared by the Principal Examiner and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all examiners participate in and is the scheme which was used by them in this examination. The standardisation process ensures that the mark scheme covers the students responses to questions and that every examiner understands and applies it in the same crect way. As preparation f standardisation each examiner analyses a number of students scripts: alternative answers not already covered by the mark scheme are discussed and legislated f. If, after the standardisation process, examiners encounter unusual answers which have not been raised they are required to refer these to the Principal Examiner. It must be stressed that a mark scheme is a wking document, in many cases further developed and expanded on the basis of students reactions to a particular paper. Assumptions about future mark schemes on the basis of one year s document should be avoided; whilst the guiding principles of assessment remain constant, details will change, depending on the content of a particular examination paper. Further copies of this Mark Scheme are available from: aqa.g.uk Copyright 0 AQA and its licenss. All rights reserved. Copyright AQA retains the copyright on all its publications. However, registered centres f AQA are permitted to copy material from this booklet f their own internal use, with the following imptant exception: AQA cannot give permission to centres to photocopy any material that is acknowledged to a third party even f internal use within the centre. Set and published by the Assessment and Qualifications Alliance. The Assessment and Qualifications Alliance (AQA) is a company limited by guarantee registered in England and Wales (company number 447) and a registered charity (registered charity number 074). Registered address: AQA, Devas Street, Manchester 5 EX.
3 Mark Scheme Paper Level Certificate in Further Mathematics  80/ June 0 Glossary f Mark Schemes These examinations are marked in such a way as to award positive achievement wherever possible. Thus, f these papers, marks are awarded under various categies. M A B M dep B dep ft SC Method marks are awarded f a crect method which could lead to a crect answer. Accuracy marks are awarded when following on from a crect method. It is not necessary to always see the method. This can be implied. Marks awarded independent of method. A method mark dependent on a previous method mark being awarded. A mark that can only be awarded if a previous independent mark has been awarded. Follow through marks. Marks awarded following a mistake in an earlier step. Special case. Marks awarded within the scheme f a common misinterpretation which has some mathematical wth. Or equivalent. Accept answers that are equivalent. eg, accept 0.5 as well as
4 Mark Scheme Paper June 080/  Level Certificate in Further Mathematics Q Answer Mark Comments r = 5 r = 5 r = 5 B May be seen on diagram d = 0 ( their r) π their r [.45,.5] 00 5π ft ft from B0 Allow with wking (uses 5π = 79) Igne any units seen (a) 8 w < w... w < w < w ft ft A0 and inequality of fm a w < b a w b SC Answer with M0 SC Answer 9 5 with M0 8 SC < w (b) B their min from (a) (c) ft ft their min from (a) (a) (5, 0) B (5x, 0y) is B0 Check diagram f answer written next to P if answer line is blank (b) Crect elimination of a letter eg x = 5 x eg y = 5 y Crectly collects terms dep eg y y = 5 eg x x = 5 (, ) Allow x = and y = if not contradicted on answer line 4
5 Mark Scheme Level Certificate in Further Mathematics  80/  June 0  Paper (c) their 5 their eg their 5 from (a) and their from (b) 5 ft ft their 5 from (a) and their from (b) 4 (a) B n 0.4n 5 (0m =) 0 their 5 n (= 4n) 0 (= 0) and 5 (= 5) 4 (b) 4 : ft numerical ratio of integers ft their 5 n if used 5x 5x 5x 9 4 terms with crect including a term in x 5 5x 5x 5x 9 Fully crect 5x 0x 9 Crectly differentiates their quadratic ft their 5x 5x 5x 9 50x x 0 0(5x ) 5(0x ) (5x 5) ft ft A0 if their 50x 0 factises to a(bx c) where a, b and c are integers > Alternative (5x ) 5 M 0(5x ) 5(0x ) A (5x 5) (c 4)(c ) (c ) Crect factisation (a) ( c 4)( c ) = ( c ) c 4 c 4 Must be a fraction and completed to Crectly converts to a common denominat eg ( c 4) c M c 8 c eg ( c 4) 8 ( c) 8 5
6 Mark Scheme Paper June 080/  Level Certificate in Further Mathematics (b) Crectly expands their brackets (must have common denominat) c 8 c Allow if their first line of wking is c 4 c c 4 c c 8 c 5.8(..) Alternative method 5. A0 8 5 A0 8 A0 Crectly converts to a common denominat eg ( c 5c 4) ( c)(c ) (c ) (c ) May also expand the denominat Crectly expands their brackets (must have common denominat) c 0c 4 9c 9 c (c ) c May also expand the denominat c 0c 4 (c ) 9c 9 c c (c ) 5.8(.). 5. A0 8 5 A0 8 A0 Scale on the yaxis identified crectly eg Intercept of line A with yaxis identified as Scale on the xaxis identified crectly eg Intercept of line A with xaxis identified as B Must be unambiguous identification B Must be unambiguous identification 7 Crect attempt at gradient ft their scales eg their 5 their y = 5 x 5 y = 5x 0 ft ft B0 B B B0 5 x 5 is B A0
7 Mark Scheme Level Certificate in Further Mathematics  80/  June 0  Paper 8 (a) y = y = 0 B Allow y = 0x 8 (b) x = x = 0 B 8 (c) < x < B Unambiguously selected (hizontal =) 8 cos 4 (= [5.9, ]) (hizontal =) 8 sin 48 (= [5.9, ]) M cos 4 = 8 x sin 48 = 8 x 9 (vertical =) 8 sin 4 (= [5.5, 5.4]) (vertical =) 8 cos 48 (= [5.5, 5.4]) M (x is the hizontal) y y sin 4 = cos 48 = 8 8 (vertical =) 8 their [5.9,] (= [5.5, 5.4]) (y is the vertical) 8 their [5.9, ] [5.4, 5.5] Alternative (vertical =) 8 sin 4 (= [5.5, 5.4]) (vertical =) 8 cos 48 (= [5.5, 5.4]) M sin 4 = 8 y cos 48 = 8 y (y is the vertical) (hizontal =) 8 cos 4 (= [5.9, ]) (hizontal=) 8 sin 48 (= [5.9, ]) (hizontal =) 8 their [5.5, 5.4] M x y cos 4 = sin 48 = 8 8 (x is the hizontal) (= [5.9, ]) 8 their [5.5, 5.4] [5.4, 5.5] SC [.8,.9] 0 Straight line through (, 0) and (0, ) B Lines must be ruled Straight line through (0, ) and (, ) Straight line through (, ) and (,) B B Only penalise (by mark) extended lines if B B B SC Any graph that passes through (, 0) and (0, ) and (, ) and (, ) (a) a 0 b c B B crect elements b (b) a = Bft ft their matrix in (a) if (a) crect ft their b when finding c b = Bft 7
8 Mark Scheme Paper June 080/  Level Certificate in Further Mathematics c = Bft 5n 5n n 4 terms with crect including a term in n 5n 5n n Fully crect eg 5n n n (n ) states that both terms are multiples of Identifies (, ) (5, ) B May be implied by seen in a table of values on a graph as a mapping (eg ) their their their 5 their (= ) y their = their (x their ) y their = their (x their 5) y = their x c and substitutes their (, ) their (5, ) (y =) x Alternative Identifies (, ) (5, ) B May be implied by seen in a table of values on a graph as a mapping (eg ) their their their their 5 (= ) y their = their (x their ) y their = their (x their 5) y = their x c and substitutes their (, ) their (5, ) (y =) x Alternative m c = 5m c = B m c = 5m c = Eliminates a letter from their equations eg 5m m = Eliminates a letter from their equations eg 5m m = m = c = m = c = (y =) x (y =) x 8
9 Mark Scheme Level Certificate in Further Mathematics  80/  June 0  Paper First and second differences crect ie 4 8 (0) () Crectly subtracts their n from given sequence ie 0 ( 4) ()n dep dep on M n n 9 eg n n 0 4 Alternative method Any three of a b c = 4a b c = 5 9a b c = a 4b c = 9 Allow one err but each of their three equations must have a, b and c 5a 5b c = 9 Eliminates one variable to obtain a pair of equations in two variables eg a b = 4 and Allow one err 5a b = Eliminates one variable crectly dep dep on M eg a = n n 9 eg n n 0 5 (a) 9 a ( ) b a ( ) b 0 a 9 ( ) b 0 4 b A a b 4 ( is implied) a ( ) b 4 a b (a ( ) b ) a SC a ( ) b 4 ( c) 9
10 Mark Scheme Paper June 080/  Level Certificate in Further Mathematics 5 (b) q ( ) r q ( ) r B B q r 4 ( q ( ) r ) ( 4 q ( ) r ) q ( ) r 4 q ( ) r 4 (q ( ) r )  p = q ( ) r = q ( ) r p p = q ( ) r 4 p = 4 q ( ) r Crect expressions value f any three of these angles B O is the centre of the circle angle PAC = x angle CAB = 90 angle PBA = x angle PCA = 80 x 90 x angle ACB = 90 x x angle COA = x 90 x angle PAO = 90 angle CAO = 90 x x angle BAD = x 90 x angle AOB = 80 x 90 x angle OAB = x Writes a crect equation that has solution 0 eg PAC CAB x PBA = 80 eg PCA ACB = 80 eg ACB CAB CBA = 80 eg 4 PAO APC POA = 80 0 D is the point at the end of PA extended B Any crect B Any crect 0
11 Mark Scheme Level Certificate in Further Mathematics  80/  June 0  Paper Q Answer Mark Comments 4(x ) x Must be crect 4( x ) ( x )( x ) x ( x )( x ) 7 4x x (= 5x 0) 4x ( x )( x ) x ( x )( x ) 5(x )(x ) Must have 5 and be crect Must be in an equation and not a denominat eg (5x 0)(x ) (5)(x x x ) 5 may be missing Must be in an equation and not a denominat 4 terms including term in x with crect eg x x eg 5x = 40 eg 5x 40 = 0 5x 5x 0x ( err) Must collect all terms and have an equation Crect attempt at solution of their quadratic eg x = 40 5 dep dep on M Quadratic fmula must have no errs in substitution If completing square must have no errs up to p(x q) = r p(x q) r = 0 [.8,.8] and [.8,.8] ft eg () 8 and 8 ± 8 ft their quadratic equation if M4 SC7 Both solutions crect (no valid method) SC One solution crect (no valid method) x b At least one term crect Substitutes into their equates to zero dy dx and dep Must have a term in x b = 0 8 ( ) b = 0 b = ( ) their b( ) c = 0 dep dep on M and having a value f b c = 4 ft ft their b and M A0 dep with no errs in their final
12 Mark Scheme Paper June 080/  Level Certificate in Further Mathematics Q Answer Mark Comments 9 (a) ( ) (=.5) and 4 (=.5) 9 (b) 5.5 = 0.5 = 4.5 = 4.5 = 5.5 and = = 4.5 = 4.5 = = 4.5 tan MBN = sin MBN = cos MBN = 5.5 = Must be crect eg tan [.8,.804] 9 (c) 4.5 sin BNC = cos BNC = tan BNC = eg sin eg cos BNC = 4.5 [4, 4.004] SC [.89897, 7] Alternative BD = 4.5 BD = 4.5 and cos BND = their BD [4, 4.004] SC [.89897, 7] Alternative
13 Mark Scheme Level Certificate in Further Mathematics  80/  June 0  Paper sin XNB = (= [5., 5.]) X is midpoint of AB 4. 5 cos XNB = (= [5., 5.]) tan XNB = 4.5 (= [5., 5.]) [4, 4.004] SC [5, 5.004] 0 ( ) π ( ) (p) ( ) 5p (= p ) B Missing brackets B0 unless recovered 0 their ( ) π ( ) (p) ( ) 5p = 500π May be implied by wking f eg 0 p = 500π π may already be cancelled value f π may be substituted in Must be equating two volumes Crectly rearranges to p = 0 eg p = 500π their dep eg p = 75 5 SC [8.8, 8.9] a 7a a Must be crect a 7a dep Must be crect May also see fact a (a )(a ) May also see fact a ft ft A0 Other solutions may be seen but must be selected as their answer Alternative method (x a)(x ax ) Must be crect (x) a (x) = 7a(x) dep Equating cfficients of x a 7a and (a )( a ) ft ft A0 Other solutions may be seen but must be selected as their answer
14 Mark Scheme Paper June 080/  Level Certificate in Further Mathematics Q Answer Mark Comments tan Ɵ(tan Ɵ ) tan Ɵ = 0 sin Ɵ(sin Ɵ cos Ɵ) sin Ɵ = 0 eg t(t ) Must be crect 80 tan Ɵ = [08, 08.44] [88, 88.44] Bft ft 80 any angle (other than 0 and 90) if in range Appropriate and crect sine rule in triangle ABP eg BP sin x = AB sin 0 eg BP sin x = AB sin 0 Appropriate and crect sine rule in triangle ACP eg PC = sin x AC sin50 eg PC sin x = AC sin50 Eliminates sin x Must have eg PC BP sin 0 AB = AC sin50 eg BP PC sin 0 = sin 50 AB AC States sin 0 = sin 50 dep dep on eg Substitutes sin 0 = and sin 50 = Completes fully Must have all 4 previous marks eg PC BP = AC AB and AB BP = AC PC SC Sine rule in triangle ABP using angle 50 x Sine rule in triangle ACP using angle 0 x 4
Paper 2 83602 Mark scheme
AQA Qualifications AQA CERTIFICATE FURTHER MATHEMATICS Paper 860 Mark scheme 860 June 04 Version/Stage:V.0 Final Mark schemes are prepared by the Lead Assessment Writer and considered, together with the
More informationGeneral Certificate of Secondary Education November 2012. Mathematics (Linear) B 4365 Paper 1 Foundation Tier. Final. Mark Scheme
General Certificate of Secondary Education November 2012 Mathematics (Linear) B 4365 Paper 1 Foundation Tier Final Mark Scheme Mark schemes are prepared by the Principal Examiner and considered, together
More informationSet 1 Teacher Booklet GCSE. 43602H November
AQA Qualifications Practice Papers Set Teacher Booklet GCSE MATHEMATICS Unit 460H Mark Scheme 460H November 0 Final version.0 Mark schemes are prepared by the Lead Assessment Writer considered, together
More informationGeneral Certificate of Secondary Education November 2012. Mathematics (Linear) B 4365 Paper 2 Higher Tier. Final. Mark Scheme
General Certificate of Secondary Education November 2012 Mathematics (Linear) B 4365 Paper 2 Higher Tier Final Mark Scheme Mark schemes are prepared by the Principal Examiner and considered, together with
More informationVersion : 1.0: 11.11. General Certificate of Secondary Education November 2011. Foundation Unit 2. Final. Mark Scheme
Version : 1.0: 11.11 General Certificate of Secondary Education November 2011 Mathematics Foundation Unit 2 43602F Final Mark Scheme Mark schemes are prepared by the Principal Examiner and considered,
More informationVersion 1.0 0110. hij. General Certificate of Education. Mathematics 6360. MPC3 Pure Core 3. Mark Scheme. 2010 examination  January series
Version.0 00 hij General Certificate of Education Mathematics 6360 MPC3 Pure Ce 3 Mark Scheme 00 eamination  January series Mark schemes are prepared by the Principal Eaminer and considered, together
More informationAQA Qualifications GCSE MATHEMATICS. Topic tests Higher tier  Mark schemes
AQA Qualifications GCSE MATHEMATICS Topic tests Higher tier  Mark schemes Our specification is published on our website (www.aqa.org.uk). We will let centres know in writing about any changes to the specification.
More informationhij Mark Scheme Mathematics 6360 Statistics 6380 General Certificate of Education MS/SS1B Statistics 1B 2009 examination  January series
Version 1.0: 0109 hij General Certificate of Education Mathematics 6360 Statistics 6380 MS/SS1B Statistics 1B Mark Scheme 2009 examination  January series Mark schemes are prepared by the Principal Examiner
More informationFinal. Mark Scheme. Mathematics/Statistics MS/SS1B. (Specification 6360/6380) Statistics 1B. General Certificate of Education (Alevel) June 2013
Version 1.0 General Certificate of Education (Alevel) June 2013 Mathematics/Statistics MS/SS1B (Specification 6360/6380) Statistics 1B Final Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationVersion : 1.0 0609. klm. General Certificate of Education. Mathematics 6360. MPC1 Pure Core 1. Mark Scheme. 2009 examination  June series
Version :.0 0609 klm General Certificate of Education Mathematics 660 MPC Pure Core Mark Scheme 009 examination  June series Mark schemes are prepared by the Principal Examiner and considered, together
More informationVersion 0.1. General Certificate of Secondary Education June 2012. Unit 1: Statistics Written Paper (Foundation) Final.
Version 0.1 General Certificate of Secondary Education June 2012 Statistics 43101F Unit 1: Statistics Written Paper (Foundation) Final Mark Scheme Mark schemes are prepared by the Principal Examiner and
More informationVersion 1.0. General Certificate of Education (Alevel) January 2012. Mathematics MPC4. (Specification 6360) Pure Core 4. Final.
Version.0 General Certificate of Education (Alevel) January 0 Mathematics MPC (Specification 660) Pure Core Final Mark Scheme Mark schemes are prepared by the Principal Eaminer and considered, together
More informationVersion 1.0. General Certificate of Education (Alevel) June 2013. Mathematics MPC3. (Specification 6360) Pure Core 3. Final.
Version.0 General Certificate of Education (Alevel) June 0 Mathematics MPC (Specification 660) Pure Core Final Mark Scheme Mark schemes are prepared by the Principal Eaminer and considered, together with
More informationVersion. General Certificate of Education (Alevel) January 2013. Mathematics MPC3. (Specification 6360) Pure Core 3. Final.
Version General Certificate of Education (Alevel) January Mathematics MPC (Specification 66) Pure Core Final Mark Scheme Mark schemes are prepared by the Principal Eaminer and considered, together with
More informationabc GCE 2005 Mark Scheme January Series Mathematics MPC1
GCE 005 January Series abc Mark Scheme Mathematics MPC1 Mark schemes are prepared by the Principal Examiner and considered, together with the relevant questions, by a panel of subject teachers. This mark
More informationGCSE Mathematics. Foundation Tier Unit 3 Geometry and Algebra Mark scheme. 43603F November 2015. Version 1.1 Final
GCSE Mathematics Foundation Tier Unit 3 Geometry and Algebra Mark scheme 43603F November 20 Version 1.1 Final Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant
More informationVersion 1.0. klm. General Certificate of Education June 2010. Mathematics. Pure Core 3. Mark Scheme
Version.0 klm General Certificate of Education June 00 Mathematics MPC Pure Core Mark Scheme Mark schemes are prepared by the Principal Eaminer and considered, together with the relevant questions, by
More informationMark Scheme (Results) November Pearson Edexcel GCSE In Mathematics Linear (1MA0) Higher (Calculator) Paper 2H
Mark Scheme (Results) November 2013 Pearson Edexcel GCSE In Mathematics Linear (1MA0) Higher (Calculator) Paper 2H Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson,
More information2015 Mathematics. New Higher Paper 1. Finalised Marking Instructions
National Qualifications 0 0 Mathematics New Higher Paper Finalised Marking Instructions Scottish Qualifications Authority 0 The information in this publication may be reproduced to support SQA qualifications
More informationFinal. Mark Scheme. Spanish 46951F. (Specification 4695) Unit 1: Listening (Foundation) General Certificate of Secondary Education June 2013
Version.0: 063 General Certificate of Secondary Education June 203 Spanish 4695F (Specification 4695) Unit : Listening (Foundation) Final Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationVersion 1.0: 0110. klm. General Certificate of Education. Mathematics 6360. MD02 Decision 2. Mark Scheme. 2010 examination  January series
Version.0: 00 klm General Certificate of Education Mathematics 6360 MD0 Decision Mark Scheme 00 examination  January series Mark schemes are prepared by the Principal Examiner and considered, together
More informationMark Scheme (Results) Summer 2014. Pearson Edexcel GCSE In Mathematics A (1MA0) Higher (Calculator) Paper 2H
Mark Scheme (Results) Summer 2014 Pearson Edexcel GCSE In Mathematics A (1MA0) Higher (Calculator) Paper 2H Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson, the UK
More informationVersion 1.0. General Certificate of Education January 2011. GCE Business Studies Planning and Financing a Business Unit 1. Final.
Version 1.0 General Certificate of Education January 2011 GCE Business Studies BUSS1 Planning and Financing a Business Unit 1 Final Mark Scheme Mark schemes are prepared by the Principal Examiner and considered,
More informationFinal. Mark Scheme. French 46551F. (Specification 4655) Unit 1: Listening (Foundation) General Certificate of Secondary Education June 2013
Version 1.0: 0613 General Certificate of Secondary Education June 2013 French 46551F (Specification 4655) Unit 1: Listening (Foundation) Final Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationFinal. Mark Scheme. Science A / Physics (Specification 4405 / 4403) PH1FP. Unit: Physics 1. General Certificate of Secondary Education January 2013
Version.0 General Certificate of Secondary Education January 203 Science A / Physics (Specification 4405 / 4403) PHFP Unit: Physics Final Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationMark Scheme (Results) November 2013. Pearson Edexcel GCSE in Mathematics Linear (1MA0) Higher (NonCalculator) Paper 1H
Mark Scheme (Results) November 2013 Pearson Edexcel GCSE in Mathematics Linear (1MA0) Higher (NonCalculator) Paper 1H Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson,
More informationMark Scheme. Spanish 46951F. (Specification 4695) Unit 1: Listening (Foundation) General Certificate of Secondary Education January 2013
Version.0: 03 General Certificate of Secondary Education January 203 Spanish 4695F (Specification 4695) Unit : Listening (Foundation) Mark Scheme Mark schemes are prepared by the Principal Examiner and
More informationMark Scheme. Business Studies BUSS1. (Specification 2130) Unit 1: Planning and Financing a Business
Version 1.0 General Certificate of Education (Alevel) June 2012 Business Studies BUSS1 (Specification 2130) Unit 1: Planning and Financing a Business Mark Scheme Mark schemes are prepared by the Principal
More informationMark Scheme. Mathematics 6360. General Certificate of Education. 2006 examination June series. MPC1 Pure Core 1
Version 1.0: 0706 abc General Certificate of Education Mathematics 660 MPC1 Pure Core 1 Mark Scheme 006 examination June series Mark schemes are prepared by the Principal Examiner and considered, together
More informationMark Scheme. Business Studies BUSS2. (Specification 2130) Unit 2: Managing a Business. General Certificate of Education (Alevel) January 2012
Version 1.0 General Certificate of Education (Alevel) January 2012 Business Studies BUSS2 (Specification 2130) Unit 2: Managing a Business Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationMathematical Procedures
CHAPTER 6 Mathematical Procedures 168 CHAPTER 6 Mathematical Procedures The multidisciplinary approach to medicine has incorporated a wide variety of mathematical procedures from the fields of physics,
More informationwww.mathsbox.org.uk ab = c a If the coefficients a,b and c are real then either α and β are real or α and β are complex conjugates
Further Pure Summary Notes. Roots of Quadratic Equations For a quadratic equation ax + bx + c = 0 with roots α and β Sum of the roots Product of roots a + b = b a ab = c a If the coefficients a,b and c
More informationMark Scheme. Business Studies BUSS3. (Specification 2130) Unit 3: Strategies for Success. General Certificate of Education (Alevel) January 2012
Version 1.0 General Certificate of Education (Alevel) January 2012 Business Studies BUSS3 (Specification 2130) Unit 3: Strategies f Success Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationVersion 1.0 0110. hij. General Certificate of Education. Mathematics 6360. MPC1 Pure Core 1. Mark Scheme. 2010 examination  January series
Version.0 00 hij General Certificate of Education Mathematics 660 MPC Pure Core Mark Scheme 00 examination  January series Mark schemes are prepared by the Principal Examiner and considered, together
More informationFinal. Mark Scheme. Spanish 46952F. (Specification 4695) Unit 2: Reading (Foundation) General Certificate of Secondary Education June 2013
Version 1.0: 0613 General Certificate of Secondary Education June 2013 Spanish 46952F (Specification 4695) Unit 2: Reading (Foundation) Final Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationMathematics mark schemes
Ma KEY STAGE 2 Mathematics tests LEVEL 6 Mathematics mark schemes Paper 1 and Paper 2 2015 National curriculum tests 2 2015 key stage 2 level 6 mathematics tests mark schemes [BLANK PAGE] This page is
More informationFinal. Mark Scheme. Business Studies BUSS1. (Specification 2130) Unit 1: Planning and Financing a Business
Version 1.0 General Certificate of Education (Alevel) June 2013 Business Studies BUSS1 (Specification 2130) Unit 1: Planning and Financing a Business Final Mark Scheme Mark schemes are prepared by the
More informationMathematics tests. Mark scheme KEY STAGE 3. for Paper 1 Tiers 3 5, 4 6, 5 7 and 6 8 ALL TIERS. National curriculum assessments
Ma KEY STAGE 3 ALL TIERS Mathematics tests Mark scheme f Paper 1 Tiers 3 5, 4 6, 5 7 and 6 8 2009 National curriculum assessments 2009 KS3 Mathematics test mark scheme: Paper 1 Introduction Introduction
More informationMark Scheme (Results) November 2011. GCSE Mathematics (1380) Paper 3H
Mark Scheme (Results) November 011 GCSE Mathematics (1380) Paper 3H Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range of qualifications
More informationALEVEL MATHEMATICS. Mechanics 2B MM2B Mark scheme. 6360 June 2014. Version/Stage: Final V1.0
ALEVEL MATHEMATICS Mechanics B MMB Mark scheme 660 June 014 Version/Stage: Final V1.0 Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a
More informationFinal. General Certificate of Education (Alevel) January 2013 ICT INFO2. (Specification 2520) Unit 2: Living in the Digital World. Final.
Final General Certificate of Education (Alevel) January 2013 ICT INFO2 (Specification 2520) Unit 2: Living in the Digital World Final Mark Scheme Mark schemes are prepared by the Principal Examiner and
More informationFinal. Mark Scheme. Business and Communication Systems. (Specification 4134) Unit 8: ICT Systems in Business
Version 1.0 General Certificate of Secondary Education June 013 Business and Communication Systems 413008 (Specification 4134) Unit 8: ICT Systems in Business Final Mark Scheme Mark schemes are prepared
More informationMEI STRUCTURED MATHEMATICS INTRODUCTION TO ADVANCED MATHEMATICS, C1. Practice Paper C1C
MEI Mathematics in Education and Industry MEI STRUCTURED MATHEMATICS INTRODUCTION TO ADVANCED MATHEMATICS, C Practice Paper CC Additional materials: Answer booklet/paper Graph paper MEI Examination formulae
More informationMark Scheme. Accounting ACCN2. (Specification 2120) Unit 2: Financial and Management Accounting
Version 1.0 General Certificate of Education (Alevel) January 2013 Accounting ACCN2 (Specification 2120) Unit 2: Financial and Management Accounting Mark Scheme Mark schemes are prepared by the Principal
More informationRoots and Coefficients of a Quadratic Equation Summary
Roots and Coefficients of a Quadratic Equation Summary For a quadratic equation with roots α and β: Sum of roots = α + β = and Product of roots = αβ = Symmetrical functions of α and β include: x = and
More informationFunctions and Equations
Centre for Education in Mathematics and Computing Euclid eworkshop # Functions and Equations c 014 UNIVERSITY OF WATERLOO Euclid eworkshop # TOOLKIT Parabolas The quadratic f(x) = ax + bx + c (with a,b,c
More informationVersion 1.0: 0807. abc. General Certificate of Education. Physics 6451. Specification A. Mark Scheme. 2007 examination  June series
Version 1.0: 0807 abc General Certificate of Education Physics 6451 Specification A PHA5/W Astrophysics Mark Scheme 007 examination  June series Mark schemes are prepared by the Principal Examiner and
More informationGCE. Mathematics. Mark Scheme for June 2012. Advanced GCE Unit 4725: Further Pure Mathematics 1. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 4725: Further Pure Mathematics 1 Mark Scheme for June 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationVersion 1.0 02/10. General Certificate of Education. Economics. ECON1: Markets and Market Failure. Mark Scheme. 2010 examination  January series
Version 1.0 02/10 General Certificate of Education Economics ECON1: Markets and Market Failure Mark Scheme 2010 examination  January series Mark schemes are prepared by the Principal Examiner and considered,
More informationMark Scheme (Results) June 2011. GCSE Mathematics (1380) Paper 3H (NonCalculator)
Mark Scheme (Results) June 011 GCSE Mathematics (1380) Paper 3H (NonCalculator) Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range
More informationMark Scheme (Results) January 2014. Pearson Edexcel International GCSE Mathematics A (4MA0/3H) Paper 3H
Mark Scheme (Results) January 014 Pearson Edexcel International GCSE Mathematics A (4MA0/3H) Paper 3H Pearson Edexcel Certificate Mathematics A (KMA0/3H) Edexcel and BTEC Qualifications Edexcel and BTEC
More informationklm Mark Scheme Applied Business 8611/8613 General Certificate of Education Financial Planning and Monitoring 2009 examination  January series
Version 1.0: 0208 klm General Certificate of Education Applied Business 8611/861 BS0 Financial Planning and Monitoring Mark Scheme 2009 examination  January series Mark schemes are prepared by the Principal
More informationVersion 1. Genera January. Accou. unting. (Spec. Final
Version 1 Genera al Certificate of Education January 20122 (Alevel) Accou unting ACCN1 (Spec cification 2120) Unit 1: Introduction to Financiall Accounting Final Mark Scheme Mark schemes are prepared
More informationGCSE ADDITIONAL SCIENCE / PHYSICS
GCSE ADDITIONAL SCIENCE / PHYSICS PH2HP Mark scheme 4408/4403 June 204 Version:.0 Final Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by
More informationSpecimen paper MATHEMATICS HIGHER TIER. Time allowed: 2 hours. GCSE BITESIZE examinations. General Certificate of Secondary Education
GCSE BITESIZE examinations General Certificate of Secondary Education Specimen paper MATHEMATICS HIGHER TIER 2005 Paper 1 Noncalculator Time allowed: 2 hours You must not use a calculator. Answer all
More informationGeneral Certificate of Education (Alevel) January 2013 ICT INFO3 (Specification 2520) Unit 3: The Use of ICT in the Digital World Final Mark Scheme
Final General Certificate of Education (Alevel) January 2013 ICT INFO3 (Specification 2520) Unit 3: The Use of ICT in the Digital World Final Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationNational 5 Mathematics Course Assessment Specification (C747 75)
National 5 Mathematics Course Assessment Specification (C747 75) Valid from August 013 First edition: April 01 Revised: June 013, version 1.1 This specification may be reproduced in whole or in part for
More informationMark scheme for Paper 2
Ma KEY STAGE 3 ALL TIERS 2000 Mathematics tests Mark scheme f Paper 2 Tiers 35, 46, 57 and 68 KEY STAGE 3 KEY STAGE 3 KEY STAG 3 KEY STAGE 3 KEY STAGE 3 KEY ST KEY STAGE 3 KEY STAGE 3 KEY STAG 3 KEY
More informationMark Scheme. Business Studies BUSS1. (Specification 2130) Unit 1: Planning and Financing a Business
General Certificate of Education (Alevel) January 2013 Business Studies BUSS1 (Specification 2130) Unit 1: Planning and Financing a Business Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationFinal. Mark Scheme. Physics A PHYA1. (Specification 2450) Unit 1: Particles, quantum phenomena and electricity
Version 1.0 General Certificate of Education (Alevel) January 01 Physics A PHYA1 (Specification 450) Unit 1: Particles, quantum phenomena and electricity Final Mark Scheme Mark schemes are prepared by
More informationNational Quali cations SPECIMEN ONLY. Forename(s) Surname Number of seat. Date of birth Day Month Year Scottish candidate number
N5 SQ9/N5/0 FOR OFFICIAL USE National Quali cations SPECIMEN ONLY Mark Mathematics Paper Date Not applicable Duration 1 hour and 0 minutes *SQ9N50* Fill in these boxes and read what is printed below. Full
More informationMATHEMATICS Unit Pure Core 2
General Certificate of Education January 2008 Advanced Subsidiary Examination MATHEMATICS Unit Pure Core 2 MPC2 Wednesday 9 January 2008 1.30 pm to 3.00 pm For this paper you must have: an 8page answer
More informationGCE Mathematics. Mark Scheme for June 2014. Unit 4722: Core Mathematics 2. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 4722: Core Mathematics 2 Advanced Subsidiary GCE Mark Scheme for June 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationVersion 2. Genera June 2012. unting. Accou. (Spec. cts of. Final
Version 2 Genera al Certificate of Education June 2012 (Alevel) Accou unting ACCN3 (Spec cification 2120) Unit 3: Further Aspec cts of Financial Accounting Final Mark Schemee Mark schemes are prepared
More informationGCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4723: Core Mathematics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 47: Core Mathematics Mark Scheme for January 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationMathematics tests. Mark scheme KEY STAGE 3. for Paper 1 Tiers 3 5, 4 6, 5 7 and 6 8 ALL TIERS. National curriculum assessments
Ma KEY STAGE 3 ALL TIERS Mathematics tests Mark scheme f Paper 1 Tiers 3 5, 4 6, 5 7 and 6 8 2008 National curriculum assessments 2008 KS3 Mathematics test mark scheme: Paper 1 Introduction Introduction
More informationVersion 1.0. klm. General Certificate of Secondary Education June 2010. Business Studies 413001 Setting up a Business Unit 1.
Version 1.0 klm General Certificate of Secondary Education June 2010 Business Studies 413001 Setting up a Business Unit 1 Mark Scheme Mark schemes are prepared by the Principal Examiner and considered,
More informationGCSE Mathematics Specification (8300/1H)
ORIGINAL SPECIMEN MATERIAL This paper does not reflect in full the expected standard and requirements for GCSE mathematics in 2017 and is superseded by the new specimen paper published in June 2015 GCSE
More informationGeneral Certificate of Education (Alevel) January 2013 Physics A PHYA4 (Specification 2450) Unit 4: Fields and further mechanics Final Mark Scheme
Version 1.1 General Certificate of Education (Alevel) January 013 Physics A PHYA4 (Specification 450) Unit 4: Fields and further mechanics Final Mark Scheme Mark schemes are prepared by the Principal
More informationGCE. Mathematics. Mark Scheme for June 2012. Advanced GCE Unit 4723: Core Mathematics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 47: Core Mathematics Mark Scheme for June 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationabc Information and Communication Technology 2520 Mark Scheme General Certificate of Education Living in the Digital World
Version 1.0: 0210 abc General Certificate of Education Information and Communication Technology 2520 INFO2 Living in the Digital World Mark Scheme 2010 examination January series Mark schemes are prepared
More informationSPECIMEN MATERIAL GCSE FRENCH 8658/LH. Higher Tier Paper 1 Listening. Specimen mark scheme. June 2018. v1.0
SPECIMEN MATERIAL GCSE FRENCH 8658/LH Higher Tier Paper 1 Listening H Specimen mark scheme June 018 v1.0 Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant
More informationSOLVING TRIGONOMETRIC EQUATIONS
Mathematics Revision Guides Solving Trigonometric Equations Page 1 of 17 M.K. HOME TUITION Mathematics Revision Guides Level: AS / A Level AQA : C2 Edexcel: C2 OCR: C2 OCR MEI: C2 SOLVING TRIGONOMETRIC
More informationMathematics B (Linear) J567/03: Mark Scheme for November 2013
GCSE Mathematics B (Linear) General Certificate of Secondary Education Component J567/03: Mathematics Paper 3 (Higher) Mark Scheme for November 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge
More informationGeneral Certificate of Secondary Education January 2013. Business Studies. (Specification 4133) Unit 1: Setting up a Business.
General Certificate of Secondary Education January 2013 Business Studies 413001 (Specification 4133) Unit 1: Setting up a Business Mark Scheme Mark schemes are prepared by the Principal Examiner and considered,
More informationFinal. Mark Scheme. French 46551H. (Specification 4655) Unit 1: Listening (Higher) General Certificate of Secondary Education June 2013
Version 1.0: 0613 General Certificate of Secondary Education June 2013 French 46551H (Specification 4655) Unit 1: Listening (Higher) Final Mark Scheme Mark schemes are prepared by the Principal Examiner
More informationVersion 1.0. klm. General Certificate of Education June 2010. GCE Business Studies. Mark Scheme
Version 1.0 klm General Certificate of Education June 2010 GCE Business Studies BUSS3 Mark Scheme Mark schemes are prepared by the Principal Examiner and considered, together with the relevant questions,
More informationVersion 1. Genera June 2012. unting. Accou. (Spec. cts of Accou. unting. Final
Version 1 Genera al Certificate of Education June 2012 (Alevel) Accou unting ACCN4 (Spec cification 2120) Unit 4: Further Aspec cts of Accou unting Management Final Mark Scheme Mark schemes are prepared
More informationFinal. Mark Scheme ICT INFO3. (Specification 2520) Unit 3: The Use of ICT in the Digital World. General Certificate of Education (Alevel) June 2012
Version 1.0 General Certificate of Education (Alevel) June 2012 ICT INFO3 (Specification 2520) Unit 3: The Use of ICT in the Digital World Final Mark Scheme Mark schemes are prepared by the Principal
More informationGCSE Mathematics A. Mark Scheme for June 2014. Unit A501/02: Mathematics A (Higher Tier) General Certificate of Secondary Education
GCSE Mathematics A Unit A50/0: Mathematics A (Higher Tier) General Certificate of Secondary Education Mark Scheme for June 04 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading
More informationMATHEMATICS (CLASSES XI XII)
MATHEMATICS (CLASSES XI XII) General Guidelines (i) All concepts/identities must be illustrated by situational examples. (ii) The language of word problems must be clear, simple and unambiguous. (iii)
More informationAccredited Specimen Mark Scheme
Version 1.0 General Certificate of Secondary Education Computer Science code Code Computing fundamentals Accredited Specimen Mark Scheme Mark schemes are prepared by the Principal Examiner and considered,
More informationGCE. Mathematics. Mark Scheme for June 2013. Advanced GCE Unit 4729: Mechanics 2. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 4729: Mechanics 2 Mark Scheme for June 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationMark Scheme (Results) November 2009
Mark Scheme (Results) November 2009 GCSE GCSE Mathematics (Linear)  1380 Paper: Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. We provide a wide range
More informationGeography 2030  AQA GCE Mark Scheme 2011 January series. Version 1.0. klm. General Certificate of Education January 2011. Unit 2.
Version 1.0 klm General Certificate of Education January 2011 Geography A Unit 2 GEOG2 PostStand Mark Scheme 3 Mark schemes are prepared by the Principal Examiner and considered, together with the relevant
More informationFinal. Mark Scheme. Physics A PHYA1. (Specification 2450) Unit 1: Particles, quantum phenomena and electricity
Version.0 General Certificate of Education (Alevel) June 0 Physics A PHYA (Specification 450) Unit : Particles, quantum phenomena and electricity Final Mark Scheme Mark schemes are prepared by the Principal
More informationYou must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Write your name here Surname Other names Edexcel IGCSE Centre Number Mathematics A Paper 3H Monday 6 June 2011 Afternoon Time: 2 hours Candidate Number Higher Tier Paper Reference 4MA0/3H You must have:
More informationegyptigstudentroom.com
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *5128615949* MATHEMATICS 0580/04, 0581/04 Paper 4 (Extended) May/June 2007 Additional Materials:
More informationPark Forest Math Team. Meet #5. Algebra. Selfstudy Packet
Park Forest Math Team Meet #5 Selfstudy Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number
More informationMark scheme for Paper 2
Ma KEY STAGE 3 ALL TIERS 2006 Mathematics tests Mark scheme f Paper 2 Tiers 3 5, 4 6, 5 7 and 6 8 2006 2006 KS3 Mathematics test mark scheme: Paper 2 Introduction Introduction The test papers will be marked
More informationGCSE MATHEMATICS. 43602H Unit 2: Number and Algebra (Higher) Report on the Examination. Specification 4360 November 2014. Version: 1.
GCSE MATHEMATICS 43602H Unit 2: Number and Algebra (Higher) Report on the Examination Specification 4360 November 2014 Version: 1.0 Further copies of this Report are available from aqa.org.uk Copyright
More informationThursday 28 February 2013 Afternoon
H Thursday 28 February 2013 Afternoon GCSE MATHEMATICS B J567/03 Paper 3 (Higher Tier) *J533610313* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Geometrical
More informationAdditional Mathematics
Jawapan Additional Mathematics Additional Mathematics Paper 1 SOALAN ULANGKAJI SPM 2011 Additional Mathematics Paper 2 SOALAN ULANGKAJI SPM 2011 SOALAN ULANGKAJI SPM 2011 SOALAN ULANGKAJI SPM 2011 SOALAN
More informationabc Information and Communication Technology 2520 Mark Scheme General Certificate of Education Living in the Digital World
Version 1.0: 0609 abc General Certificate of Education Information and Communication Technology 2520 INFO2 Living in the Digital World Mark Scheme 2009 examination June series Mark schemes are prepared
More informationBiggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress
Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation
More informationTuesday 6 November 2012 Morning
H Tuesday 6 November 2012 Morning GCSE MATHEMATICS A A502/02 Unit B (Higher Tier) *A516821112* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Geometrical
More informationMathematics 2540 Paper 5540H/3H
Edexcel GCSE Mathematics 540 Paper 5540H/3H November 008 Mark Scheme 1 (a) 3bc 1 B1 for 3bc (accept 3cb or bc3 or cb3 or 3 b c oe, but 7bc 4bc gets no marks) (b) x + 5y B for x+5y (accept x+y5 or x + 5
More informationVersion 1. Genera January. unting. Accou. (Spec. cts of. Final
Version 1 Genera al Certificate of Education January 20122 (Alevel) Accou unting ACCN3 (Spec cification 2120) Unit 3: Further Aspec cts of Financial Accounting Final Mark Schemee Mark schemes are prepared
More information