GCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4727: Further Pure Mathematics 3. physicsandmathstutor.com


 Cora Burke
 1 years ago
 Views:
Transcription
1 GCE Mathematics Advanced GCE Unit 77: Further Pure Mathematics Mark Scheme for June 0 Oxford Cambridge and RSA Examinations
2 OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of qualifications to meet the needs of pupils of all ages and abilities. OCR qualifications include AS/A Levels, Diplomas, GCSEs, OCR Nationals, Functional Skills, Key Skills, Entry Level qualifications, NVQs and vocational qualifications in areas such as IT, business, languages, teaching/training, administration and secretarial skills. It is also responsible for developing new specifications to meet national requirements and the needs of students and teachers. OCR is a notforprofit organisation; any surplus made is invested back into the establishment to help towards the development of qualifications and support which keep pace with the changing needs of today s society. This mark scheme is published as an aid to teachers and students, to indicate the requirements of the examination. It shows the basis on which marks were awarded by Examiners. It does not indicate the details of the discussions which took place at an Examiners meeting before marking commenced. All Examiners are instructed that alternative correct answers and unexpected approaches in candidates scripts must be given marks that fairly reflect the relevant knowledge and skills demonstrated. Mark schemes should be read in conjunction with the published question papers and the Report on the Examination. OCR will not enter into any discussion or correspondence in connection with this mark scheme. OCR 0 Any enquiries about publications should be addressed to: OCR Publications PO Box 5050 Annesley NOTTINGHAM NG5 0DL Telephone: Facsimile:
3 77 Mark Scheme June 0 (i) [5, 6, 7]. [,, ] sin 5 6 ( 7) ( ) sin 69. ( ,.06) 0 6 [5, 6, 7] [,, ] sin 5 6 ( 7) ( ) 8 sin (ii) METHOD 0 d ( ) 6 METHOD M* M (*dep) A A SR M* M (*dep) A A M A For using scalar product of line and plane vectors For both moduli seen For correct scalar product For correct angle For vector product of line and plane vectors AND finding modulus of result For moduli of line and plane vectors seen For correct modulus 8 For correct angle For use of correct formula For correct distance ( ) (6 ) ( ) 0 M For substituting parametric form into plane d 6 OR distance from (, 6, ) to (5,, 7) 8 ( ) 96 A For correct distance METHOD Plane through (, 6, ) parallel to p is M For finding parallel plane through (, 6, ) 0 6 xyz 6 d 6 6 A For correct distance METHOD e.g. (0, 0, 0) on p M For using any point on p to find vector vector to (, 6, ) = (, 6, 7) and scalar product seen e.g. [, 6, 7]. [,, ] [, 6, 7]. [,, ] A For correct distance d 6 6 METHOD 5 l meets p where ( 5 t) (6 6 t) ( 7 t) 0 For finding t where l meets p t d [5, 6, 7] sin M and linking d with triangle d 0 A For correct distance (i) METHOD EITHER i i e e e e e e i i i i cos isin icot OR in reverse with similar working M M A EITHER For changing LHS terms to e i cos OR in reverse For using cot sin i i cos For either of e e soi sin ()(i) For fully correct proof to AG SR If factors of or i are not clearly seen, award M M A0
4 77 Mark Scheme June 0 (i) METHOD i i i i e e e e EITHER i i e e i i e e (ii) cos isin cos isin OR cos isin cos isin isin isin cos icot cos sin METHOD cos i sin cos cos isin cos isin sin isin cos cos cos isin sin sin icos sin i cos =icot icot sin i cos METHOD t t i cos isin t t cos isin t t i t t M M A M M A M For multiplying top and bottom by complex conjugate in exp or trig form For using both double angle formulae correctly For fully correct proof to AG For using both double angle formulae correctly For appropriate factorisation For fully correct proof to AG For substituting both t formulae correctly it it i ti M For appropriate factorisation icot i i t it t t t t A For fully correct proof to AG METHOD 5 i i i e e e i e i i i i e e e For multiplying top and bottom by e i i e e M i and attempting to divide by e i i i e e OR multiplying top and bottom by e ( cos ) cos cos For using both double angle formulae M isin isin cos isin correctly icot A For fully correct proof to AG M For a circle centre O A For indication of radius = and anticlockwise arrow shown B For locus of w shown as imaginary axis described downwards 6
5 77 Mark Scheme June 0 (i) METHOD x A m ( 0) CF ( y ) e METHOD Separating variables on d y y 0 ln y x x A M A M For correct auxiliary equation (soi) For correct CF For integration to this stage CF ( y ) e A For correct CF (ii) PI ( y ) pcosx qsinx B For stating PI of correct form y psinx qcosx M For substituting y and y into DE ( p q)sin x(p q)cosx 5cosx A For correct equation pq 0 M For equating coeffs and solving p, q p q A A For correct value of p, and of q x GS ( y ) Ae cosx sinx B 7 For GS 5 5 f.t. from their CF+PI with arbitrary constant in CF and none in PI SR Integrating factor method may be used, followed by stage integration by parts or C+iS method Marks for (i) are awarded only if CF is clearly identified (iii) x e 0, cosx sin x sin x M For considering either term 5 5 cos A For correct range (allow < ) CWO y OR y f.t. as p q y p q from (ii) (i) abc ( ab) c ( ba) c b( ac) M For using commutativity correctly bca ( ) ( bca ) ( cba ) cba A For correct proof (use of associativity may be implied) Minimum working: abc bac bca cba OR abc acb cab cba OR abc bac bca cba (ii) ea},{, eb},{, ec},{, ebc},{, eca},{, eab},{, eabc } B For any 5 subgroups B For the other subgroups and none incorrect (iii) {, eabab,, },{, eacca,, },{, ebcbc,, } B For any subgroups {, e a, bc, abc},{, e b, ca, abc},{, e c, ab, abc } B For more subgroup {, ebccaab,, } B For more subgroup (5 in total) and none incorrect (iv) All elements ( e) have order B* For appropriate reference to order of elements in G OR all are selfinverse OR no element of G has order OR no order subgroup has a generator or is cyclic OR subgroups are of the form{, eabab,, } (the Klein group) all order subgroups are isomorphic B (*dep) 9 For correct conclusion
6 77 Mark Scheme June 0 5 (i) dy k du M ku A u x ku u x u kd k k du k u xu d M For using chain rule For correct d y For substituting for y and d y A For correct equation AG x kx k (ii) k B For correct k (iii) du u x IF d ln e x x x e B For correct IF x x f.t. for IF = x k using k or their numerical value for k d M d u. For u.their IF x.their IF x x u. ( c x x ) A For correct integration both sides y A For correct solution for y cx x 6 (a) Closure ( axb) ( cxd) ( ac) x( b d) B For obtaining correct sum from distinct elements P B For stating result is in P OR is of the correct form SR award this mark if any of the closure result, the identity or the inverse element is stated to be in P OR of the correct form Identity 0x 0 B For stating identity (allow 0) Inverse ax b B For stating inverse (b) (i) Order 9 B* For correct order (ii) x B For correct inverse element (iii) M For considering sums of ax b ( axb) ( axb) ( axb) ax b and obtaining ax b 0x 0 ax b has order a, b (except a b 0 ) A For equating to 0x 0 OR 0 and obtaining order SR For order stated only OR found from incomplete consideration of numerical cases award B Cyclic group of order 9 has element(s) of order 9 M (*dep) For reference to element(s) of order 9 ( Q, (mod)) is not cyclic A For correct conclusion 0 9
7 77 Mark Scheme June 0 7 (i) R Q B For sketch of tetrahedron labelled in some way At least one right angle at O must be indicated or clearly implied (ii) (iii) O P M For using base height OPQ pq, OQR qr, ORP rp A For all areas correct CAO RP RQ RP RQ sinr PQR B For correct justification LHS = pq qr rp PQR B For correct expression = ( ) ( B For PQR in vector form OR ( ) ( OR ( ) ( PQR qri prj pqk M RHS pq qr rp A M A 6 0 For finding vector product of their attempt at PQR For correct expression For using aibjck a b c For completing proof of AG WWW 5
8 77 Mark Scheme June 0 8 (i) For expanding ( c i s) : at least terms and Re( c i s) = cos c 6c s s M* binomial coefficient needed A For correct terms M cos c 6 c ( c ) ( c ) For using s c (*dep) cos 8cos 8cos A For correct expression for cos CAO (ii) cos cos 8c 8c c For multiplying by c 6 6 cos cos 0 cos B to obtain AG WWW (iii) 6 6c c 0c 0 M For factorising sextic c 8c c 0 with ( c),( c) or ( c ) For quartic, b ac 6 0 A For justifying no other roots CWO c only n A For obtaining n AG Note that M A0 A is possible SR For verifying n by substituting c 6 into 6c c 0c 0 B (iv) 6 6c c 0c 0 0 M c 8c c 5 For factorising sextic with c For quartic, b ac 60 0 A For justifying no other roots CWO cos 0 only A For correct condition obtained AG Note that M A0 A is possible SR For verifying cos 0 by substituting c 0 6 into 6c c 0c 0 B SR For verifying and satisfy cos cos B 6
9 OCR (Oxford Cambridge and RSA Examinations) Hills Road Cambridge CB EU OCR Customer Contact Centre 9 Qualifications (General) Telephone: Facsimile: For staff training purposes and as part of our quality assurance programme your call may be recorded or monitored Oxford Cambridge and RSA Examinations is a Company Limited by Guarantee Registered in England Registered Office; Hills Road, Cambridge, CB EU Registered Company Number: 866 OCR is an exempt Charity OCR (Oxford Cambridge and RSA Examinations) Head office Telephone: Facsimile: OCR 0
GCE. Mathematics. Mark Scheme for June Advanced GCE 4727 Further Pure Mathematics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE 477 Further Pure Mathematics Mark Scheme for June 010 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationGCE Mathematics. Mark Scheme for June Unit 4727: Further Pure Mathematics 3. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 477: Further Pure Mathematics 3 Advanced GCE Mark Scheme for June 04 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE 4725 Further Pure Mathematics 1
GCE Mathematics Advanced GCE 475 Further Pure Mathematics Mark Scheme for June 00 OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of qualifications to meet the needs
More informationGCE. Mathematics (MEI) Mark Scheme for January Advanced GCE Unit 4756: Further Methods for Advanced Mathematics
GCE Mathematics (MEI) Advanced GCE Unit 7: Further Methods for Advanced Mathematics Mark Scheme for January Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE. Unit 4727: Further Pure Mathematics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 477: Further Pure 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
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4723: Core Mathematics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 7: 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 of
More informationGCE. Physics A. Mark Scheme for June Advanced GCE 2826/01 Unifying Concepts in Physics. Oxford Cambridge and RSA Examinations
GCE Physics A Advanced GCE 2826/0 Unifying Concepts in Physics Mark Scheme for June 200 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE. Mathematics (MEI) Mark Scheme for June Advanced GCE 4753 Methods for Advanced Mathematics (C3) Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Advanced GCE 4753 Methods for Advanced Mathematics (C3) Mark Scheme for June 00 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,
More informationGCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4726: Further Pure Mathematics 2
GCE Mathematics Advanced GCE Unit 76: Further Pure Mathematics Mark Scheme for January OCR (Oford Cambridge and RSA) is a leading UK awarding body, providing a wide range of qualifications to meet the
More informationGCE. Mathematics. Mark Scheme for June Advanced Subsidiary GCE 4722 Core Mathematics 2. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced Subsidiary GCE 7 Core Mathematics Mark Scheme for June 00 Oford Cambridge and RSA Eaminations OCR (Oford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationGCE. Mathematics (MEI) Mark Scheme for January Advanced Subsidiary GCE Unit 4761: Mechanics 1. Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 4761: Mechanics 1 Mark Scheme for January 011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE 4733/01 Probability and Statistics 2. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE 4733/0 Probability and Statistics Mark Scheme for June 00 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4730: Mechanics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 4730: Mechanics 3 Mark Scheme for June 011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of
More informationGCE. Mathematics. Mark Scheme for June Advanced Subsidiary GCE Unit 4721: Core Mathematics 1. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced Subsidiary GCE Unit 7: Core Mathematics Mark Scheme for June 0 Oford Cambridge and RSA Eaminations OCR (Oford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4726: Further Pure Mathematics 2
GCE Mathematics Advanced GCE Unit 76: Further Pure Mathematics Mark Scheme for June OCR (Oford Cambridge and RSA) is a leading UK awarding body, providing a wide range of qualifications to meet the needs
More informationFSMQ. Additional FSMQ. Mark Scheme for June Free Standing Mathematics Qualification. 6993: Additional Mathematics
FSMQ Additional FSMQ Free Standing Mathematics Qualification 699: Additional Mathematics Mark Scheme for June 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationGCE Mathematics (MEI) Mark Scheme for June Unit 4772: Decision Mathematics 2. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Unit 4772: Decision Mathematics 2 Advanced GCE Mark Scheme for June 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationFSMQ. Advanced FSMQ. Mark Scheme for June Additional Mathematics Oxford Cambridge and RSA Examinations
FSMQ Advanced FSMQ Additional Mathematics 699 Mark Scheme for June Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of qualifications
More informationFSMQ. Additional FSMQ. Mark Scheme for June Free Standing Mathematics Qualification. 6993: Additional Mathematics
FSMQ Additional FSMQ Free Standing Mathematics Qualification 699: Additional Mathematics Mark Scheme for June 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationGCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4727: Further Pure Mathematics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 477: Further Pure Mathematics 3 Mark Scheme for January 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationGCE. Physics B (Advancing Physics) Mark Scheme for June Advanced GCE. Unit G494: Rise and Fall of the Clockwork Universe
GCE Physics B (Advancing Physics) Advanced GCE Unit G494: Rise and Fall of the Clockwork Universe Mark Scheme for June 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading
More informationGCE. Mathematics (MEI) Mark Scheme for January Advanced Subsidiary GCE Unit 4755: Further Concepts for Advanced Mathematics
GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 755: Further Concepts for Advanced Mathematics Mark Scheme for January 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a
More informationGCE. Mathematics. Mark Scheme for June Advanced Subsidiary GCE Unit 4722: Core Mathematics 2. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced Subsidiary GCE Unit 47: Core Mathematics Mark Scheme for June 011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationGCE. Physics B (Advancing Physics) Mark Scheme for June Advanced GCE G494. Rise and Fall of the Clockwork Universe
GCE Physics B (Advancing Physics) Advanced GCE G494 Rise and Fall of the Clockwork Universe Mark Scheme for June 200 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK
More information* * MATHEMATICS (MEI) 4758/01 Differential Equations ADVANCED GCE. Wednesday 18 May 2011 Morning
ADVANCED GCE MATHEMATICS (MEI) 4758/0 Differential Equations Candidates answer on the answer booklet. OCR supplied materials: 8 page answer booklet (sent with general stationery) MEI Examination Formulae
More informationGCE. Mathematics. Mark Scheme for June Advanced Subsidiary GCE Unit 4721: Core Mathematics 1. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced Subsidiary GCE Unit 41: Core Mathematics 1 Mark Scheme for June 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More information* * MATHEMATICS (MEI) 4757 Further Applications of Advanced Mathematics (FP3) ADVANCED GCE. Wednesday 9 June 2010 Afternoon
ADVANCED GCE MATHEMATICS (MEI) 757 Further Applications of Advanced Mathematics (FP) Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet MEI Examination Formulae and Tables
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4727: Further Pure Mathematics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 477: Further Pure 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
More informationGCE. Physics A. Mark Scheme for January Advanced Subsidiary GCE Unit G481: Mechanics. Oxford Cambridge and RSA Examinations
GCE Physics A Advanced Subsidiary GCE Unit G481: Mechanics Mark Scheme for January 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE Mathematics. Mark Scheme for June Unit 4724: Core Mathematics 4. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 474: Core Mathematics 4 Advanced GCE Mark Scheme for June 06 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationCambridge Technicals Engineering. Mark Scheme for January Unit 4: Principles of electrical and electronic engineering
Cambridge Technicals Engineering Unit 4: Principles of electrical and electronic engineering Level 3 Cambridge Technical Certificate/Diploma in Engineering 0582205825 Mark Scheme for January 207 Oxford
More informationGCE. Mathematics (MEI) Mark Scheme for June Advanced Subsidiary GCE Unit 4752: Concepts for Advanced Mathematics PMT
GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 475: Concepts for Advanced Mathematics Mark Scheme for June 011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationFSMQ. Additional Mathematics. Mark Scheme for the Unit. June /MS/R/07 ADVANCED FSMQ Oxford Cambridge and RSA Examinations
FSMQ Additional Mathematics ADVANCED FSMQ 699 Mark Scheme for the Unit June 7 699/MS/R/7 Oxford Cambridge and RSA Examinations OCR (Oxford, Cambridge and RSA Examinations) is a unitary awarding body, established
More informationGCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4729: Mechanics 2. Oxford Cambridge and RSA Examinations
GCE Mark Scheme for January 01 Mathematics Advanced GCE Unit 479: Mechanics Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of
More informationGCE. Physics B (Advancing Physics) Mark Scheme for January Advanced GCE Unit G495: Field and Particle Pictures
GCE Physics B (Advancing Physics) Advanced GCE Unit G495: Field and Particle Pictures Mark Scheme for January 2011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationMATHEMATICS (MEI) 4761 Mechanics 1
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 4761 Mechanics 1 QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4761 MEI Examination Formulae and Tables
More informationGCE Mathematics (MEI) Mark Scheme for June Unit 4757: Further Applications of Advanced Mathematics. Advanced GCE PMT
GCE Mathematics (MEI) Unit 757: Further Applications of Advanced Mathematics Advanced GCE Mark Scheme for June 015 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationCambridge Technicals Engineering. Mark Scheme for January Unit 2: Science for engineering
Cambridge Technicals Engineering Unit 2: Science for engineering Level 3 Cambridge Technical Certificate/Diploma in Engineering 0582205825 Mark Scheme for January 207 Oxford Cambridge and RSA Examinations
More informationGCE Mathematics. Mark Scheme for June Unit 4723: Core Mathematics 3. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 473: Core Mathematics 3 Advanced GCE Mark Scheme for June 06 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationGCE Mathematics. Mark Scheme for June Unit 4723: Core Mathematics 3. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 47: Core Mathematics Advanced GCE Mark Scheme for June 05 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationGCE Mathematics (MEI) Mark Scheme for June Unit 4755: Further Concepts for Advanced Mathematics. Advanced Subsidiary GCE
GCE Mathematics (MEI) Unit 4755: Further Concepts for Advanced Mathematics Advanced Subsidiary GCE Mark Scheme for June 015 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading
More informationGCE. Mathematics. Mark Scheme for June Advanced Subsidiary GCE Unit 4721: Core Mathematics 1. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced Subsidiary GCE Unit 7: 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
More informationGCE Mathematics (MEI) Mark Scheme for June Unit 4758: Differential Equations. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Unit 4758: Differential Equations Advanced GCE Mark Scheme for June 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationFSMQ. Additional FSMQ. Mark Scheme for June Free Standing Mathematics Qualification. 6993: Additional Mathematics
FSMQ Additional FSMQ Free Standing Mathematics Qualification 699: Additional Mathematics Mark Scheme for June 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More information* * MATHEMATICS (MEI) 4764 Mechanics 4 ADVANCED GCE. Tuesday 15 June 2010 Morning. Duration: 1 hour 30 minutes. Turn over
ADVANCED GCE MATHEMATICS (MEI) 4764 Mechanics 4 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae and Tables (MF2) Other Materials
More informationGCE. Physics A. Mark Scheme for June Advanced GCE G481 Mechanics. Oxford Cambridge and RSA Examinations
GCE Physics A Advanced GCE G481 Mechanics Mark Scheme for June 010 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of qualifications
More informationPMT. GCE Physics A. Unit H156/01: Breadth in physics. Advanced Subsidiary GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations
GCE Physics A Unit H156/01: Breadth in physics Advanced Subsidiary GCE Mark Scheme for June 2016 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationGCE Mathematics. Mark Scheme for June Unit 4721: Core Mathematics 1. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 47: Core Mathematics Advanced Subsidiary GCE Mark Scheme for June 04 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a
More informationGCE. Mathematics (MEI) Mark Scheme for June Advanced GCE Unit 4754A: Applications of Advanced Mathematics: Paper A
GCE Mathematics (MEI) Advanced GCE Unit 4754A: Applications of Advanced Mathematics: Paper A Mark Scheme for June 011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK
More informationPMT GCE. Physics A. Advanced GCE Unit G484: The Newtonian World. Mark Scheme for January Oxford Cambridge and RSA Examinations
GCE Physics A Advanced GCE Unit G484: The Newtonian World Mark Scheme for January 013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE Physics A. Mark Scheme for June Unit G481/01: Mechanics. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations
GCE Physics A Unit G481/01: Mechanics Advanced Subsidiary GCE Mark Scheme for June 2015 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationPMT GCE. Physics A. Advanced GCE Unit G484: The Newtonian World. Mark Scheme for June Oxford Cambridge and RSA Examinations
GCE Physics A Advanced GCE Unit G484: The Newtonian World Mark Scheme for June 2011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4724: Core Mathematics 4. physicsandmathstutor.com
GCE Mathematics Advanced GCE Unit 474: Core Mathematics 4 Mark Scheme for January 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE. Mathematics. Mark Scheme for January Advanced GCE Unit 4723: Core Mathematics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 473: Core Mathematics 3 Mark Scheme for January 03 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4736: Decision Mathematics 1. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 4736: Decision Mathematics 1 Mark Scheme for June 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a
More informationGCE. Physics B (Advancing Physics) Mark Scheme for June Advanced Subsidiary GCE Unit G491: Physics in Action
GCE Physics B (Advancing Physics) Advanced Subsidiary GCE Unit G49: Physics in Action Mark Scheme for June 20 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationPMT. GCE Mathematics (MEI) Unit 4753: Methods for Advanced Mathematics. Advanced GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Unit 753: Methods for Advanced Mathematics Advanced GCE Mark Scheme for June 016 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,
More informationGCE. Mathematics (MEI) Mark Scheme for January Advanced Subsidiary GCE Unit 4761: Mechanics 1. Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 4761: Mechanics 1 Mark Scheme for January 013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationGCE Mathematics. Mark Scheme for June Unit 4721: Core Mathematics 1. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 7: Core Mathematics Advanced Subsidiary GCE Mark Scheme for June 06 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4730: Mechanics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 4730: Mechanics 3 Mark Scheme for June 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationGCE Mathematics (MEI) Mark Scheme for June Unit 4754A: Applications of Advanced Mathematics: Paper A. Advanced GCE PMT
GCE Mathematics (MEI) Unit 4754A: Applications of Advanced Mathematics: Paper A Advanced GCE Mark Scheme for June 015 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK
More informationGCE Mathematics. Mark Scheme for June Unit 4721: Core Mathematics 1. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 7: Core Mathematics Advanced Subsidiary GCE Mark Scheme for June 05 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a
More informationGCE. Physics B (Advancing Physics) Mark Scheme for January Advanced GCE Unit G495: Field and Particle Pictures
GCE Physics B (Advancing Physics) Mark Scheme for January 2013 Advanced GCE Unit G495: Field and Particle Pictures Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationPMT. GCE Mathematics (MEI) Unit 4761: Mechanics 1. Advanced Subsidiary GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Unit 4761: Mechanics 1 Advanced Subsidiary GCE Mark Scheme for June 016 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationPMT. GCE Physics A. Unit G481: Mechanics. Advanced Subsidiary GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations
GCE Physics A Unit G481: Mechanics Advanced Subsidiary GCE Mark Scheme for June 2016 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE. Mathematics (MEI) Mark Scheme for January Advanced GCE Unit 4754A: Applications of Advanced Mathematics: Paper A
GCE Mathematics (MEI) Advanced GCE Unit 4754A: Applications of Advanced Mathematics: Paper A Mark Scheme for January 01 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading
More informationPMT. GCE Physics A. Unit G481/01: Mechanics. Advanced Subsidiary GCE. Mark Scheme for June Oxford Cambridge and RSA Examinations
GCE Physics A Unit G481/01: Mechanics 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 a wide
More informationGCE. Mathematics (MEI) Mark Scheme for June Advanced Subsidiary GCE Unit 4751: Introduction to Advanced Mathematics
GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 4751: Introduction to Advanced Mathematics Mark Scheme for June 013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading
More informationPMT GCE. Mathematics. Advanced Subsidiary GCE Unit 4721: Core Mathematics 1. Mark Scheme for January Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced Subsidiary GCE Unit 47: Core Mathematics Mark Scheme for January 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationGCE. Mathematics (MEI) Mark Scheme for June Advanced Subsidiary GCE Unit 4752: Concepts for Advanced Mathematics
GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 4752: Concepts for Advanced Mathematics Mark Scheme for June 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK
More informationGCSE. Physics B. Mark Scheme for June General Certificate of Secondary Education Unit B652/02: Unit 2 Modules P4, P5, P6 (Higher Tier)
GCSE Physics B General Certificate of Secondary Education Unit B652/02: Unit 2 Modules P4, P5, P6 (Higher Tier) Mark Scheme for June 2011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and
More informationGCE. Mathematics (MEI) Mark Scheme for January Advanced Subsidiary GCE Unit 4761: Mechanics 1. Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Advanced Subsidiary GCE Unit 476: Mechanics Mark Scheme for January 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationPMT GCE. Mathematics (MEI) Advanced GCE Unit 4763: Mechanics 3. Mark Scheme for June Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Advanced GCE Unit 6: Mechanics 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 of
More informationGCE. Physics B (Advancing Physics) Mark Scheme for June 2011
GCE Physics B (Advancing Physics) Advanced Subsidiary GCE Unit G49: Understanding Processes/Experimentation and Data Handing Mark Scheme for June 0 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge
More informationMATHEMATICS (MEI) 4755 Further Concepts for Advanced Mathematics (FP1)
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 4755 Further Concepts for Advanced Mathematics (FP1) QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4755
More informationGCE Physics B. Mark Scheme for June Unit H157/01: Foundations of physics. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations
GCE Physics B Unit H57/0: Foundations of physics Advanced Subsidiary GCE Mark Scheme for June 207 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationGCE Mathematics. Mark Scheme for June Unit 4731: Mechanics 4. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 7: Mechanics Advanced GCE Mark Scheme for June Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range of qualifications
More informationGCE. Mathematics (MEI) Mark Scheme for June Advanced GCE Unit 4767: Statistics 2. Oxford Cambridge and RSA Examinations
GCE Mathematics (MEI) Advanced GCE Unit 4767: Statistics 2 Mark Scheme for June 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide
More informationGCE Physics B (Advancing Physics) G494 Mark Scheme for June 2015 Oxford Cambridge and RSA Examinations
Oxford Cambridge and RSA GCE Physics B (Advancing Physics) Unit G494: Rise and Fall of the Clockwork Universe Advanced GCE Mark Scheme for June 05 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge
More informationGCE Physics A. Mark Scheme for June Unit G485: Fields, Particles and Frontiers of Physics. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Physics A Unit G485: Fields, Particles and Frontiers of Physics Advanced GCE Mark Scheme for June 017 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,
More informationGCE Mathematics (MEI) Mark Scheme for June Unit 4751: Introduction to Advanced Mathematics (C1) Advanced Subsidiary GCE
GCE Mathematics (MEI) Unit 4751: Introduction to Advanced Mathematics (C1) Advanced Subsidiary GCE Mark Scheme for June 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading
More informationGCE. Chemistry A. Mark Scheme for January Advanced Subsidiary GCE Unit F321: Atoms, Bonds and Groups. Oxford Cambridge and RSA Examinations
GCE Chemistry A Advanced Subsidiary GCE Unit F321: Atoms, Bonds and Groups Mark Scheme for January 2011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE Unit 4737: Decision Mathematics 2. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 737: Decision Mathematics 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
More informationGCSE Applications of Mathematics (Pilot) Mark Scheme for June Unit A381/02: Higher Tier. General Certificate of Secondary Education
GCSE Applications of Mathematics (Pilot) Unit A381/02: Higher Tier General Certificate of Secondary Education Mark Scheme f June 2017 OCR (Oxfd Cambridge and RSA) is a leading UK awarding body, providing
More informationGCE. Mathematics. Mark Scheme for June Advanced GCE. Unit 4723: Core Mathematics 3. Oxford Cambridge and RSA Examinations
GCE Mathematics Advanced GCE Unit 73: Core Mathematics 3 Mark Scheme for June 03 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing a wide range
More informationGCE Mathematics. Mark Scheme for June Unit 4723: Core Mathematics 3. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Mathematics Unit 47: Core Mathematics Advanced GCE Mark Scheme for June 017 Oford Cambridge and RSA Eaminations OCR (Oford Cambridge and RSA) is a leading UK awarding body, providing a wide range of
More informationFSMQ. Additional Mathematics. Mark Scheme for the Unit. June 2008 ADVANCED FSMQ Oxford Cambridge and RSA Examinations
FSMQ Additional Mathematics ADVANCED FSMQ 699 Mark Scheme for the Unit June 008 Oxford Cambridge and RSA Examinations OCR (Oxford, Cambridge and RSA Examinations) is a unitary awarding body, established
More informationPMT GCE. Physics A. Advanced Subsidiary GCE Unit G482: Electrons, Waves and Photons. Mark Scheme for June Oxford Cambridge and RSA Examinations
GCE Physics A Advanced Subsidiary GCE Unit G482: Electrons, Waves and Photons Mark Scheme for June 2011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,
More informationGCE. Chemistry B (Salters) Mark Schemes for the Units. January 2009 H035/H435/MS/R/09J. Advanced GCE A2 H435 Advanced Subsidiary GCE AS H035
GCE Chemistry B (Salters) Advanced GCE A H45 Advanced Subsidiary GCE AS H05 Mark Schemes for the Units January 009 H05/H45/MS/R/09J Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA)
More informationGCE Physics A. Mark Scheme for June Unit H156/02: Depth in physics. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations
GCE Physics A Unit H156/02: Depth in physics Advanced Subsidiary GCE Mark Scheme for June 2016 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationGCE. Physics B (Advancing Physics) Mark Scheme for January Advanced Subsidiary GCE Unit G491: Physics in Action
GCE Physics B (Advancing Physics) Advanced Subsidiary GCE Unit G49: Physics in Action Mark Scheme for January 202 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationGCE. Chemistry A. Mark Scheme for June Advanced Subsidiary GCE. Unit F321: Atoms, Bonds and Groups. Oxford Cambridge and RSA Examinations
GCE Chemistry A Advanced Subsidiary GCE Unit F321: Atoms, Bonds and Groups Mark Scheme for June 2013 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body,
More informationGCE. Mathematics (MEI) Mark Scheme for January Advanced GCE Unit 4754A: Applications of Advanced Mathematics: Paper A PMT
GCE Mathematics (MEI) Advanced GCE Unit 4754A: Applications of Advanced Mathematics: Paper A Mark Scheme for January 2012 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading
More informationGCSE Mathematics (91) Mark Scheme for June Unit J560/03: Paper 3(Foundation Tier) General Certificate of Secondary Education
GCSE Mathematics (9) Unit J56/3: Paper 3(Foundation Tier) General Certificate of Secondary Education Mark Scheme for June 27 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading
More informationPhysics A G485: Mark Scheme for January 2011
GCE Physics A Advanced GCE Unit G485: Fields, Particles and Frontiers of Physics Mark Scheme for January 011 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationGCE Physics B (Advancing Physics) Mark Scheme for June Unit G495: Field and Particle Pictures. Advanced GCE
GCE Physics B (Advancing Physics) Unit G95: Field and Particle Pictures Advanced GCE Mark Scheme for June 017 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationGCE. Physics B (Advancing Physics) Mark Scheme for January Advanced GCE Unit G495: Field and Particle Pictures
GCE Physics B (Advancing Physics) Mark Scheme for January 202 Advanced GCE Unit G495: Field and Particle Pictures Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding
More informationGCE Physics A. Mark Scheme for June Unit H156/02: Depth in physics. Advanced Subsidiary GCE. Oxford Cambridge and RSA Examinations
GCE Physics A Unit H156/02: Depth in physics Advanced Subsidiary GCE Mark Scheme for June 2017 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge and RSA) is a leading UK awarding body, providing
More informationGCSE. Mathematics B (MEI) (Two Tier) Mark Schemes for the Units. June 2008 J519/MS/R/08. General Certificate of Secondary Education J519
GCSE Mathematics B (MEI) (Two Tier) General Certificate of Secondary Education J9 Mark Schemes for the Units June 008 J9/MS/R/08 Oxford Camridge and RSA Examinations OCR (Oxford, Camridge and RSA Examinations)
More informationGCE Physics A. Mark Scheme for June Unit G484: The Newtonian World. Advanced GCE. Oxford Cambridge and RSA Examinations
GCE Physics A Unit G484: The Newtonian World Advanced GCE Mark Scheme for June 06 Oxford Cambridge and SA Examinations OC (Oxford Cambridge and SA) is a leading UK awarding body, providing a wide range
More information