4754A * * A A. MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A ADVANCED GCE. Friday 14 January 2011 Afternoon
|
|
- Kory Gray
- 2 years ago
- Views:
Transcription
1 ADVANCED GCE MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A 4754A Candidates answer on the answer booklet. OCR supplied materials: 8 page answer booklet (sent with general stationery) MEI Examination Formulae and Tables (MF) Other materials required: Scientific or graphical calculator Friday 4 January 0 Afternoon Duration: hour 30 minutes * * A A * * INSTRUCTIONS TO CANDIDATES Write your name, centre number and candidate number in the spaces provided on the answer booklet. Please write clearly and in capital letters. Use black ink. Pencil may be used for graphs and diagrams only. Read each question carefully. Make sure you know what you have to do before starting your answer. Answer all the questions. Do not write in the bar codes. You are permitted to use a scientific or graphical calculator in this paper. Final answers should be given to a degree of accuracy appropriate to the context. INFORMATION FOR CANDIDATES The number of marks is given in brackets [ ] at the end of each question or part question. You are advised that an answer may receive no marks unless you show sufficient detail of the working to indicate that a correct method is being used. The total number of marks for this paper is 7. This document consists of 4 pages. Any blank pages are indicated. NOTE This paper will be followed by Paper B: Comprehension. OCR 0 [T/0/653] OCR is an exempt Charity RP 0F0 Turn over
2 Section A (36 marks) (i) Use the trapezium rule with four strips to estimate + e x dx, showing your working. Fig. shows a sketch of y = + e x. y x Fig. (ii) Suppose that the trapezium rule is used with more strips than in part (i) to estimate + e x dx. State, with a reason but no further calculation, whether this would give a larger or smaller estimate. [] A curve is defined parametrically by the equations x = + t, y = t + t. Find t in terms of x. Hence find the cartesian equation of the curve, giving your answer as simply as possible. [5] 3 Find the first three terms in the binomial expansion of in ascending powers of x. State the 3 (3 x) set of values of x for which the expansion is valid. [7] 4 The points A, B and C have coordinates (, 0, ), (4, 3, 6) and (9, 3, 4) respectively. (i) Show that AB is perpendicular to BC. (ii) Find the area of triangle ABC. 5 Show that sin θ = tan θ. + cos θ OCR A Jan
3 3 6 8 (i) Find the point of intersection of the line r = ( ) + λ ( 3 0) and the plane x 3y + =. 6 (ii) Find the acute angle between the line and the normal to the plane. Section B (36 marks) 7 A particle is moving vertically downwards in a liquid. Initially its velocity is zero, and after t seconds it is v m s. Its terminal (long-term) velocity is 5 m s. A model of the particle s motion is proposed. In this model, v = 5( e t ). (i) Show that this equation is consistent with the initial and terminal velocities. Calculate the velocity after 0.5 seconds as given by this model. (ii) Verify that v satisfies the differential equation dv dt In a second model, v satisfies the differential equation As before, when t = 0, v = 0. dv dt = 0 0.4v. (iii) Show that this differential equation may be written as 0 dv (5 v)(5 + v) dt = 4. Using partial fractions, solve this differential equation to show that = 0 v. t = 4 ln(5 + v ). [8] 5 v This can be re-arranged to give v = 5( e 4t ) + e 4t. [You are not required to show this result.] (iv) Verify that this model also gives a terminal velocity of 5 m s. Calculate the velocity after 0.5 seconds as given by this model. The velocity of the particle after 0.5 seconds is measured as 3 m s. (v) Which of the two models fits the data better? [] OCR A Jan Turn over
4 4 8 Fig. 8 shows a searchlight, mounted at a point A, 5 metres above level ground. Its beam is in the shape of a cone with axis AC, where C is on the ground. AC is angled at α to the vertical. The beam produces an oval-shaped area of light on the ground, of length DE. The width of the oval at C is GF. Angles DAC, EAC, FAC and GAC are all β. A A side view 5 m 5 m B D C F B D C E G E Fig. 8 In the following, all lengths are in metres. (i) Find AC in terms of α, and hence show that GF = 0 sec α tan β. (ii) Show that CE = 5(tan(α + β) tan α). Hence show that CE = 5 tan β sec α tan α tan β. [5] Similarly, it can be shown that CD = 5 tan β sec α. [You are not required to derive this result.] + tan α tan β You are now given that α = 45 and that tan β = t. (iii) Find CE and CD in terms of t. Hence show that DE = (iv) Show that GF = 0 t. For a certain value of β, DE = GF. (v) Show that t =. 0t t. [5] [] Hence find this value of β. Copyright Information OCR is committed to seeking permission to reproduce all third-party content that it uses in its assessment materials. OCR has attempted to identify and contact all copyright holders whose work is used in this paper. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced in the OCR Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download from our public website ( after the live examination series. If OCR has unwittingly failed to correctly acknowledge or clear any third-party content in this assessment material, OCR will be happy to correct its mistake at the earliest possible opportunity. For queries or further information please contact the Copyright Team, First Floor, 9 Hills Road, Cambridge CB GE. OCR is part of the Cambridge Assessment Group; Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. OCR A Jan
5 4754A Mark Scheme January 0 Section A (i) x y A ½ { ( )} = B,,0 table values formula 6.5 or better www (ii) Smaller, as the trapezium rule is an over-estimate in this case and the error is less with more strips [] x t t x t x t y x t x x x x x [5] attempt to solve for t oe substituting for t in terms of x clearing subsidiary fractions (3 x) 3 ( x) 3 ( 3)( 4) ( ( 3)( x) ( x)...) ( x x...) x x Valid for 3 x 3 3 x B,,0 [7] dealing with the 3 correct binomial coeffs,, 8/3 oe cao
6 4754A Mark Scheme January 0 5 4(i) AB 3, BC AB.B C ( 5) 0 5 AB is perpendicular to BC. (ii) AB = ( ( 5) )= 38 BC = ( )= 9 Area = ½ 38 9 = ½ 0 or 6.6 units complete method ft lengths of both AB, BC oe www 5 LHS = sin cos cos sin cos cos sin tan RHS cos one correct double angle formula used cancelling cos s x 83 6(i) y z 6 Substituting into plane equation: ( 8 3) 3( ) = = 5 = 5, = 3 So point of intersection is (,, 3) ft 3 (ii) Angle between and 3 0 ( 3) ( 3) 0 cos 4 0 = ( )0.43 acute angle = 65 allow for a complete method only for any vectors
7 4754A Mark Scheme January 0 Section B 7(i) When t = 0, v = 5( e 0 ) = 0 As t, e t 0, v 5 When t = 0.5, v = 3.6 m s d v t t (ii) 5 ( )e 0e d t 0 v = 0 0( e t ) = 0e t d v 0 v d t (iii) d v 0 0.4v d t 0 d v 00 4v d t 0 d v 4 5 v dt 0 d v 4 (5 v)(5 v) d t * 0 A B (5 v)(5 v) 5 v 5 v 0 = A(5 + v) + B(5 v) v = 5 0 = 0A A = v = 5 0 = 0B B = 0 (5 v)(5 v) 5 v 5 v ( )dv 4 t 5v 5v d ln(5 v) ln(5 v) 4tc when t = 0, v = 0, 0 = c c = 0 5 v ln 4t 5 v 5 v t ln * 4 5 v [8] for both A=,B= separating variables correctly and indicating integration ft their A,B, condone absence of c ft finding c from an expression of correct form (iv) When t, e 4t 0, v 5/ = 5 5( e ) when t = 0.5, t 3.8ms e (v) The first model [] www 3
8 4754A Mark Scheme January 0 8(i) AC = 5sec oe CF = AC tan = 5sec tan GF = CF = 0sec tan * ACtanβ (ii) CE = BE BC = 5 tan( + ) 5 tan = 5(tan( + ) tan ) tan tan 5 tan tan tan tan tan tan tan tan 5 tan tan 5( tan ) tan tan tan 5tan sec * tan tan D [5] compound angle formula combining fractions sec = + tan (iii) sec 45 =, tan 45 = 5t 0t CE t t 0t CD t 0t 0t DE 0 t( ) t t t t tt 0t 0 t * ( )( ) t t t [5] used substitution for both in CE or CD oe for both adding their CE and CD (iv) cos 45 = / sec = GF = 0 tan = 0 t [] (v) DE = GF 0t 0 t t t = / t = / * t = 0.54 = 8.4 invtan t 4
4754A A A * * MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A ADVANCED GCE. Friday 15 January 2010 Afternoon PMT
ADVANCED GCE MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A 4754A Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet MEI Examination Formulae and
MATHEMATICS 4722 Core Mathematics 2
ADVANCED SUBSIDIARY GCE MATHEMATICS 4722 Core Mathematics 2 QUESTION PAPER Candidates answer on the Printed Answer Book OCR Supplied Materials: Printed Answer Book 4722 List of Formulae (MF1) Other Materials
* * MATHEMATICS 4721 Core Mathematics 1 ADVANCED SUBSIDIARY GCE. Monday 11 January 2010 Morning QUESTION PAPER. Duration: 1 hour 30 minutes.
ADVANCED SUBSIDIARY GCE MATHEMATICS 4721 Core Mathematics 1 QUESTION PAPER Candidates answer on the Printed Answer Book OCR Supplied Materials: Printed Answer Book 4721 List of Formulae (MF1) Other Materials
MATHEMATICS 4723 Core Mathematics 3
ADVANCED GCE MATHEMATICS 4723 Core Mathematics 3 QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4723 List of Formulae (MF1) Other materials required:
Tuesday 10 June 2014 Morning
Tuesday 0 June 20 Morning AS GCE MATHEMATICS 736/0 Decision Mathematics PRINTED ANSWER BOOK *33365809* Candidates answer on this Printed Answer Book. OCR supplied materials: Question Paper 736/0 (inserted)
Friday 23 June 2017 Morning
Oxford Cambridge and RSA Friday 23 June 2017 Morning A2 GCE MATHEMATICS (MEI) 4754/01B Applications of Advanced Mathematics (C4) Paper B: Comprehension QUESTION PAPER *7350982488* Candidates answer on
MATHEMATICS 4725 Further Pure Mathematics 1
ADVANCED SUBSIDIARY GCE MATHEMATICS 4725 Further Pure Mathematics 1 QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4725 List of Formulae (MF1)
MATHEMATICS 4728 Mechanics 1
ADVANCED SUBSIDIARY GCE MATHEMATICS 4728 Mechanics 1 QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4728 List of Formulae (MF1) Other materials
* * MATHEMATICS (MEI) 4757 Further Applications of Advanced Mathematics (FP3) ADVANCED GCE. Wednesday 9 June 2010 Afternoon PMT
ADVANCED GCE MATHEMATICS (MEI) 4757 Further Applications of Advanced Mathematics (FP3) Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet MEI Examination Formulae and
* * MATHEMATICS (MEI) 4751 Introduction to Advanced Mathematics (C1) ADVANCED SUBSIDIARY GCE. Monday 11 January 2010 Morning QUESTION PAPER
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 475 Introduction to Advanced Mathematics (C) QUESTION PAPER Candidates answer on the Printed Answer Book OCR Supplied Materials: Printed Answer Book 475 MEI Examination
Thursday 12 June 2014 Afternoon
Thursday 12 June 2014 Afternoon AS GCE MATHEMATICS 4728/01 Mechanics 1 QUESTION PAPER * 3 1 3 4 0 1 4 0 0 1 * Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book 4728/01
B278A MATHEMATICS C (GRADUATED ASSESSMENT) MODULE M8 SECTION A GENERAL CERTIFICATE OF SECONDARY EDUCATION. Monday 8 March 2010 Morning WARNING
M8 GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS C (GRADUATED ASSESSMENT) MODULE M8 SECTION A B278A * OCE / 1 9558* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials
H H * * MATHEMATICS FOR ENGINEERING H860/02 Paper 2 LEVEL 3 CERTIFICATE. Wednesday 9 June 2010 Afternoon. Duration: 1 hour 30 minutes.
LEVEL 3 CERTIFICATE MATHEMATICS FOR ENGINEERING H860/02 Paper 2 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Insert (inserted) List of Formulae (MF1) Other Materials
THIS IS A LEGACY SPECIFICATION
THIS IS A LEGACY SPECIFICATION H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 3 Section A (Higher Tier) B293A *OCE/26262* Candidates answer on the question paper. OCR supplied materials:
4754A A A * * MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A ADVANCED GCE. Tuesday 13 January 2009 Morning
ADVANCED GCE MATHEMATICS (MEI) Applications of Advanced Mathematics (C) Paper A 75A Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae
B293A. MATHEMATICS B (MEI) Paper 3 Section A (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Tuesday 12 January 2010 Morning WARNING
H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 3 Section A (Higher Tier) B293A *OCE/14183* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials Required:
GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) B294B
H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 4 Section B (Higher Tier) B294B * OCE / 14195* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials
Friday 21 June 2013 Morning
Friday 21 June 2013 Morning A2 GCE MATHEMATICS 4729/01 Mechanics 2 QUESTION PAPER * 4 7 3 3 4 0 0 6 1 3 * Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book 4729/01
Concepts for Advanced Mathematics (C2) WEDNESDAY 9 JANUARY 2008
ADVANCED SUBSIDIARY GCE 4752/01 MATHEMATICS (MEI) Concepts for Advanced Mathematics (C2) WEDNESDAY 9 JANUARY 2008 Additional materials: Answer Booklet (8 pages) MEI Examination Formulae and Tables (MF2)
B294A. MATHEMATICS B (MEI) Paper 4 Section A (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Friday 15 January 2010 Morning WARNING
H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper Section A (Higher Tier) B29A * OCE / 119 1* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials Required:
MATHEMATICS 4729 Mechanics 2
ADVANCED GCE MATHEMATICS 4729 Mechanics 2 QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4729 List of Formulae (MF1) Other materials required:
Monday 14 January 2013 Morning
Monday 14 January 2013 Morning A2 GCE MATHEMATICS 4729/01 Mechanics 2 QUESTION PAPER * 4 7 3 3 8 1 0 1 1 3 * Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book 4729/01
Wednesday 25 May 2016 Morning
Oxford Cambridge and RSA Wednesday 5 May 016 Morning A GCE MATHEMATICS (MEI) 476/01 Mechanics QUESTION PAPER * 6 6 9 6 6 0 4 1 9 * Candidates answer on the Printed Answer Book. OCR supplied materials:
Wednesday 3 June 2015 Morning
Oxford Cambridge and RSA Wednesday 3 June 015 Morning AS GCE MATHEMATICS (MEI) 475/01 Concepts for Advanced Mathematics (C) QUESTION PAPER * 3 6 7 4 8 0 7 8 7 * Candidates answer on the Printed Answer
Wednesday 30 May 2012 Afternoon
Wednesday 30 May 2012 Afternoon FSMQ ADVANCED LEVEL 6993 Additional Mathematics QUESTION PAPER *6916300612* Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book 6993
* * MATHEMATICS (MEI) 4764 Mechanics 4 ADVANCED GCE. Thursday 11 June 2009 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
Monday 6 June 2016 Afternoon
Oxford Cambridge and RSA Monday 6 June 2016 Afternoon FSMQ ADVANCED LEVEL 6993/01 Additional Mathematics QUESTION PAPER * 6 3 6 1 2 5 5 7 4 1 * Candidates answer on the Printed Answer Book. OCR supplied
B294B. MATHEMATICS B (MEI) Paper 4 Section B (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Monday 1 June 2009 Morning.
H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper Section B (Higher Tier) B29B *OCE/T75117* Candidates answer on the question paper OCR Supplied Materials: None Other Materials Required:
Wednesday 18 May 2016 Morning
Oxford Cambridge and RSA Wednesday 18 May 2016 Morning A2 GCE MATHEMATICS 4729/01 Mechanics 2 QUESTION PAPER * 6 3 9 5 6 4 5 6 6 1 * Candidates answer on the Printed Answer Book. OCR supplied materials:
Friday 17 June 2016 Afternoon
Oxford Cambridge and RSA Friday 17 June 016 Afternoon AS GCE MATHEMATICS (MEI) 4761/01 Mechanics 1 QUESTION PAPER * 6 3 7 0 1 8 0 6 1 * Candidates answer on the Printed Answer Book. OCR supplied materials:
MATHEMATICS (MEI) 4776/01 Numerical Methods
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 4776/01 Numerical Methods * OCE / 1 332 6 * Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae
THIS IS A LEGACY SPECIFICATION
THIS IS A LEGACY SPECIFICATION H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 3 Section B (Higher Tier) B293B * OCE / 1 794 9 * Candidates answer on the question paper. OCR supplied
* * MATHEMATICS 4732 Probability & Statistics 1 ADVANCED SUBSIDIARY GCE. Wednesday 27 January 2010 Afternoon. Duration: 1 hour 30 minutes.
ADVANCED SUBSIDIARY GCE MATHEMATICS 4732 Probability & Statistics 1 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet List of Formulae (MF1) Other Materials Required:
Advanced Subsidiary General Certificate of Education Advanced General Certificate of Education
OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary General Certificate of Education Advanced General Certificate of Education MEI STRUCTURED MATHEMATICS Applications of Advanced Mathematics (C4)
METHODS IN MATHEMATICS B392/02 Methods in Mathematics 2 (Higher Tier)
THIS IS A NEW SPECIFICATION H GENERAL CERTIFICATE OF SECONDARY EDUCATION METHODS IN MATHEMATICS B392/02 Methods in Mathematics 2 (Higher Tier) *B315650611* Candidates answer on the question paper. OCR
Two boats, the Rosemary and the Sage, are having a race between two points A and B. t, where 0 t (i) Find the distance AB.
5 8 In this question, positions are given relative to a fixed origin, O. The x-direction is east and the y-direction north; distances are measured in kilometres. Two boats, the Rosemary and the Sage, are
B293B. MATHEMATICS B (MEI) Paper 3 Section B (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Tuesday 12 January 2010 Morning
H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 3 Section B (Higher Tier) B293B * OCE / 14186* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials
THIS IS A LEGACY SPECIFICATION
THIS IS A LEGACY SPECIFICATION H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper Section A (Higher Tier) B9A * OCE / 1 795* Candidates answer on the question paper. OCR supplied materials:
OXFORD CAMBRIDGE AND RSA EXAMINATIONS A2 GCE 4733/01. MATHEMATICS Probability & Statistics 2 QUESTION PAPER
OXFORD CAMBRIDGE AND RSA EXAMINATIONS A2 GCE 4733/01 MATHEMATICS Probability & Statistics 2 QUESTION PAPER TUESDAY 10 JUNE 2014: Morning DURATION: 1 hour 30 minutes plus your additional time allowance
Monday 10 June 2013 Morning
Monday 10 June 2013 Morning A2 GCE MATHEMATICS (MEI) 4762/01 Mechanics 2 QUESTION PAPER * 4 7 1 5 7 9 0 6 1 3 * Candidates answer on the Printed Answer Book. OCR supplied materials: Printed Answer Book
Wednesday 3 June 2015 Morning
Oxford Cambridge and RS Wednesday 3 June 2015 Morning FSMQ DVNCED LEVEL 6993/01 dditional Mathematics QUESTION PPER * 4 3 9 6 2 8 1 0 5 5 * Candidates answer on the Printed nswer ook. OCR supplied materials:
B294A. MATHEMATICS B (MEI) Paper 4 Section A (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Friday 11 June 2010 Morning WARNING
H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 4 Section A (Higher Tier) B294A * OCE / 1 0368* Candidates answer on the Question Paper OCR Supplied Materials: None Other Materials
Thursday 16 June 2016 Morning
Oxford Cambridge and RSA Thursday 16 June 2016 Morning GCSE PSYCHOLOGY B543/01 Research in Psychology *5052023496* Candidates answer on the Question Paper. OCR supplied materials: None Other materials
Wednesday 8 June 2016 Morning
Oxford Cambridge and RSA Wednesday 8 June 2016 Morning AS GCE MATHEMATICS 4732/01 Probability & Statistics 1 QUESTION PAPER * 4 8 2 7 1 9 3 8 2 8 * Candidates answer on the Printed Answer Book. OCR supplied
Thursday 11 June 2015 Afternoon
Oxford Cambridge and RSA H Thursday 11 June 2015 Afternoon GCSE METHODS IN MATHEMATICS B392/02 Methods in Mathematics 2 (Higher Tier) *4856252055* Candidates answer on the Question Paper. OCR supplied
Wednesday 11 January 2012 Morning
THIS IS A LEGACY SPECIFICATION H Wednesday 11 January 2012 Morning GCSE MATHEMATICS B (MEI) B293B Paper 3 Section B (Higher Tier) *B216700112* Candidates answer on the Question Paper. OCR supplied materials:
Friday 14 June 2013 Morning
H Friday 14 June 2013 Morning GCSE MATHEMATICS A A503/02 Unit C (Higher Tier) *A517020613* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Scientific or
Tuesday 6 November 2012 Morning
H Tuesday 6 November 2012 Morning GCSE MATHEMATICS A A501/02 Unit A (Higher Tier) *A516800312* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Scientific
B294A. MATHEMATICS B (MEI) Paper 4 Section A (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Monday 1 June 2009 Morning WARNING
H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 4 Section A (Higher Tier) B294A *OCE/T75115* Candidates answer on the question paper OCR Supplied Materials: None Other Materials
Monday 8th June 2015 Morning
Oxford Cambridge and RSA H Monday 8th June 205 Morning GCSE METHODS IN MATHEMATICS B39/02 Methods in Mathematics (Higher Tier) * 4 8 5 6 4 9 2 5 * Candidates answer on the Question Paper. OCR supplied
Thursday 9 June 2016 Morning
Oxford Cambridge and RSA H Thursday 9 June 2016 Morning GCSE MATHEMATICS A A503/02 Unit C (Higher Tier) * 5 9 9 9 2 7 3 6 9 3 * Candidates answer on the Question Paper. OCR supplied materials: None Other
MEI STRUCTURED MATHEMATICS 4756
OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary General Certificate of Education Advanced General Certificate of Education MEI STRUCTURED MATHEMATICS 4756 Further Methods for Advanced Mathematics
Applications of Advanced Mathematics (C4) Paper A WEDNESDAY 21 MAY 2008
ADVANCED GCE 4754/01A MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A WEDNESDAY 1 MAY 008 Additional materials: Answer Booklet (8 pages) Graph paper MEI Examination Formulae and Tables
G484. PHYSICS A The Newtonian World ADVANCED GCE. Thursday 27 January 2011 Afternoon. Duration: 1 hour
ADVANCED GCE PHYSICS A The Newtonian World G484 *OCE/17456* Candidates answer on the question paper. OCR supplied materials: Data, Formulae and Relationships Booklet Other materials required: Electronic
* * MATHEMATICS (MEI) 4762 Mechanics 2 ADVANCED GCE. Monday 11 January 2010 Morning. Duration: 1 hour 30 minutes. Turn over
ADVANCED GCE MATHEMATICS (MEI) 4762 Mechanics 2 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae and Tables (MF2) Other Materials
Thursday 9 June 2016 Morning
Oxford Cambridge and RSA H Thursday 9 June 2016 Morning GCSE MATHEMATICS B J567/04 Paper 4 (Higher Tier) * 5 9 8 5 6 1 0 7 3 8 * Candidates answer on the Question Paper. OCR supplied materials: None Other
Monday 16 January 2012 Morning
THIS IS A LEGACY SPECIFICATION H Monday 16 January 2012 Morning GCSE MATHEMATICS B (MEI) B294A Paper 4 Section A (Higher Tier) *B216710112* Candidates answer on the Question Paper. OCR supplied materials:
Thursday 26 May 2016 Morning
Oxford Cambridge and RSA H Thursday 26 May 2016 Morning GCSE MATHEMATICS A A502/02 Unit B (Higher Tier) * 5 9 9 9 0 5 4 4 9 7 * Candidates answer on the Question Paper. OCR supplied materials: None Other
OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary General Certificate of Education Advanced General Certificate of Education MEI STRUCTURED MATHEMATICS 4752 Concepts for Advanced Mathematics (C2)
Tuesday 15 January 2013 Afternoon
H Tuesday 15 January 2013 Afternoon GCSE MATHEMATICS A A502/02 Unit B (Higher Tier) * A 5 1 6 8 8 0 1 1 3 * Candidates answer on the Question Paper. OCR supplied materials: None Other materials required:
Concepts for Advanced Mathematics (C2) THURSDAY 15 MAY 2008
ADVANCED SUBSIDIARY GCE 47/0 MATHEMATICS (MEI) Concepts for Advanced Mathematics (C) THURSDAY MAY 008 Additional materials: Answer Booklet (8 pages) Insert for Question 3 MEI Examination Formulae and Tables
MEI STRUCTURED MATHEMATICS 4757
OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary General Certificate of Education Advanced General Certificate of Education MEI STRUCTURED MATHEMATICS 4757 Further Applications of Advanced Mathematics
THIS IS A NEW SPECIFICATION
THIS IS A NEW SPECIFICATION ADVANCED GCE PHYSICS A The Newtonian World G484 * OCE / 2 301 6 * Candidates answer on the Question Paper OCR Supplied Materials: Data, Formulae and Relationships Booklet Other
Tuesday 18 June 2013 Morning
Tuesda 8 June 0 Morning A GCE MATHEMATICS (MEI) 475/0 Methods for Advanced Mathematics (C) QUESTION PAPER * 4 7 5 6 6 0 6 * Candidates answer on the Printed Answer Book. OCR supplied materials: Printed
* * MATHEMATICS (MEI) 4761 Mechanics 1 ADVANCED SUBSIDIARY GCE. Wednesday 27 January 2010 Afternoon. Duration: 1 hour 30 minutes.
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 476 Mechanics Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae and Tables (MF) Other
* * MATHEMATICS (MEI) 4753/01 Methods for Advanced Mathematics (C3) ADVANCED GCE. Thursday 15 January 2009 Morning. Duration: 1 hour 30 minutes
ADVANCED GCE MATHEMATICS (MEI) 475/0 Methods for Advanced Mathematics (C) Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Eamination Formulae and Tables
MATHEMATICS (MEI) 4776/01 Numerical Methods
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 4776/01 Numerical Methods *OCE/T61324* Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet MEI Examination Formulae and Tables
MATHEMATICS A A502/02 Unit B (Higher Tier)
THIS IS A NEW SPECIFICATION H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS A A502/02 Unit B (Higher Tier) *A515450111* Candidates answer on the question paper. OCR supplied materials: None Other
* * MATHEMATICS (MEI) 4761 Mechanics 1 ADVANCED SUBSIDIARY GCE. Wednesday 21 January 2009 Afternoon. Duration: 1 hour 30 minutes.
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 4761 Mechanics 1 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae and Tables (MF2) Other
Friday 7 November 2014 Morning
H Friday 7 November 2014 Morning GCSE MATHEMATICS A A503/02 Unit C (Higher Tier) * 3 0 5 6 4 8 7 7 6 8 * Candidates answer on the Question Paper. OCR supplied materials: None Other materials required:
Monday 18 June 2012 Morning
Monday 18 June 2012 Morning A2 GCE PHYSICS A G484 The Newtonian World *G411820612* Candidates answer on the Question Paper. OCR supplied materials: Data, Formulae and Relationships Booklet (sent with general
Candidate number. Centre number
Oxford Cambridge and RSA GCSE (9 1) Mathematics Paper 4 (Higher Tier) H Practice Paper Set 3 Time allowed: 1 hour 30 minutes *2016* You may use: A scientific or graphical calculator Geometrical instruments
OXFORD CAMBRIDGE AND RSA EXAMINATIONS GCSE A501/02 MATHEMATICS A
OXFORD CAMBRIDGE AND RSA EXAMINATIONS GCSE A501/02 MATHEMATICS A Unit A (Higher Tier) MONDAY 9 JUNE 2014: Morning DURATION: 1 hour plus your additional time allowance MODIFIED ENLARGED 24pt Candidate forename
Thursday 25 May 2017 Morning Time allowed: 1 hour 30 minutes
Oxford Cambridge and RSA GCSE (9 1) Mathematics J560/04 Paper 4 (Higher Tier) H Thursday 25 May 2017 Morning Time allowed: 1 hour 30 minutes *7348865303* You may use: A scientific or graphical calculator
MATHEMATICS (MEI) 4752 Concepts for Advanced Mathematics (C2)
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 4752 Concepts for Advanced Mathematics (C2) QUESTION PAPER Candidates answer on the printed answer book. OCR supplied materials: Printed answer book 4752 MEI Examination
* * MATHEMATICS (MEI) 4767 Statistics 2 ADVANCED GCE. Monday 25 January 2010 Morning. Duration: 1 hour 30 minutes. Turn over
ADVANCED GCE MATHEMATICS (MEI) 4767 Statistics 2 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae and Tables (MF2) Other Materials
physicsandmathstutor.com
ADVANCED GCE MATHEMATICS 4737 Decision Mathematics 2 Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper Insert for Questions 5 and 6 (inserted) List of Formulae
Wednesday 11 January 2012 Morning
THIS IS A LEGACY SPECIFICATION H Wednesday 11 January 2012 Morning GCSE MATHEMATICS SYLLABUS A J512/03 Paper 3 (Higher Tier) * J 5 1 6 3 8 0 1 1 2 * Candidates answer on the Question Paper. OCR supplied
A Level Physics B (Advancing Physics) H557/03 Practical skills in physics. Thursday 29 June 2017 Morning Time allowed: 1 hour 30 minutes
Oxford Cambridge and RSA A Level Physics B (Advancing Physics) H557/03 Practical skills in physics Thursday 29 June 2017 Morning Time allowed: 1 hour 30 minutes *6830996327* You must have: the Data, Formula
MATHEMATICS A A502/01 Unit B (Foundation Tier)
THIS IS A NEW SPECIFICATION F GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS A A502/01 Unit B (Foundation Tier) *A515440111* Candidates answer on the question paper. OCR supplied materials: None
G484. PHYSICS A The Newtonian World ADVANCED GCE. Monday 27 June 2011 Morning. Duration: 1 hour
ADVANCED GCE PHYSICS A The Newtonian World G484 *G410340611* Candidates answer on the question paper. OCR supplied materials: Data, Formulae and Relationships Booklet Other materials required: Electronic
Monday 20 June 2016 Morning
Oxford Cambridge and RSA Monday 20 June 2016 Morning A2 GCE PHYSICS A G484/01 The Newtonian World *1320816367* Candidates answer on the Question Paper. OCR supplied materials: Data, Formulae and Relationships
OXfORD CAMBRIDGE AND RSA EXAMINATIONS GCSE J567/04. MATHEMATICS B Paper 4 (Higher Tier)
OXfORD CAMBRIDGE AND RSA EXAMINATIONS GCSE J567/04 MATHEMATICS B Paper 4 (Higher Tier) friday 13 JUNE 2014: Morning DURATION: 1 hour 45 minutes plus your additional time allowance MODIfIED ENLARGED Candidate
* * MATHEMATICS (MEI) 4755 Further Concepts for Advanced Mathematics (FP1) ADVANCED SUBSIDIARY GCE. Friday 22 May 2009 Morning
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 755 Further Concepts for Advanced Mathematics (FP) Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination
PHYSICS A 2822 Electrons and Photons
THIS IS A LEGACY SPECIFICATION ADVANCED SUBSIDIARY GCE PHYSICS A 2822 Electrons and Photons *CUP/T61221* Candidates answer on the question paper OCR Supplied Materials: None Other Materials Required: Electronic
Date Morning/Afternoon Time allowed: 1 hour 30 minutes
GCSE (9 1) Mathematics J560/05 Paper 5 (Higher Tier) Practice Paper H Date Morning/Afternoon Time allowed: 1 hour 30 minutes *0000000000* You may use: Geometrical instruments Tracing paper Do not use:
Wednesday 8 June 2016 Afternoon
Oxford Cambridge and RSA F Wednesday 8 June 2016 Afternoon GCSE GEOGRAPHY B B563/01 Key Geographical Themes (Foundation Tier) *5818140845* Candidates answer on the Question Paper. OCR supplied materials:
THIS IS A NEW SPECIFICATION MODIFIED LANGUAGE
THIS IS A NEW SPECIFICATION ADVANCED SUBSIDIARY GCE PHYSICS A Mechanics G481 * OCE / 24236* Candidates answer on the Question Paper OCR Supplied Materials: Data, Formulae and Relationships Booklet Other
* * ADDITIONAL MATHEMATICS 6993 FREE-STANDING MATHEMATICS QUALIFICATION ADVANCED LEVEL. Friday 5 June 2009 Afternoon. Duration: 2 hours.
FREE-STNDING MTHEMTIS QULIFITION DVNED LEVEL DDITIONL MTHEMTIS 6993 andidates answer on the nswer ooklet OR Supplied Materials: 16 page nswer ooklet Graph paper Other Materials Required: None Friday 5
Tuesday 23 May 2017 Morning
Oxford Cambridge and RSA Tuesday 23 May 2017 Morning AS GCE PHYSICS B (ADVANCING PHYSICS) G491/01 Physics in Action *6687779587* Candidates answer on the Question Paper. OCR supplied materials: Data, Formulae
MATHEMATICS A A502/02 Unit B (Higher Tier)
THIS IS A NEW SPECIFICATION H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS A A502/02 Unit B (Higher Tier) *OCE/35068* Candidates answer on the question paper. OCR supplied materials: None Other
MATHEMATICS SYLLABUS A J512/04 Paper 4 (Higher Tier)
THIS IS A LEGACY SPECIFICATION H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS SYLLABUS A J512/04 Paper 4 (Higher Tier) *OCE/25925* Candidates answer on the question paper. OCR supplied materials:
Wednesday 8 June 2016 Afternoon
Oxford Cambridge and RSA H Wednesday 8 June 2016 Afternoon GCSE GEOGRAPHY A A732/02 Geographical Skills (Higher Tier) *4410185572* Candidates answer on the Question Paper. OCR supplied materials: An Insert
Thursday 26 May 2016 Morning
Oxford Cambridge and RSA H Thursday 26 May 2016 Morning GCSE MATHEMATICS A A501/02 Unit A (Higher Tier) * 5 9 9 8 4 3 5 2 9 2 * Candidates answer on the Question Paper. OCR supplied materials: None Other
Friday 8 November 2013 Morning
H Friday 8 November 2013 Morning GCSE MATHEMATICS B J567/04 Paper 4 (Higher Tier) *J517180313* Candidates answer on the Question Paper. OCR supplied materials: None Other materials required: Geometrical
Tuesday 24 May 2016 Morning
Oxford Cambridge and RSA Tuesday 24 May 2016 Morning AS GCE PHYSICS A G481/01 Mechanics *1164749964* Candidates answer on the Question Paper. OCR supplied materials: Data, Formulae and Relationships Booklet
A Level Physics B (Advancing Physics) H557/03 Practical skills in physics
Oxford Cambridge and RSA A Level Physics B (Advancing Physics) Practical skills in physics Practice paper Set 2 Time allowed: 1 hour 30 minutes *2016* You must have: the Data, Formula and Relationships
PHYSICS A 2821 Forces and Motion
THIS IS A LEGACY SPECIFICATION ADVANCED SUBSIDIARY GCE PHYSICS A 2821 Forces and Motion *CUP/T63745* Candidates answer on the question paper OCR Supplied Materials: None Other Materials Required: Electronic
CHEMISTRY 2815/01 Trends and Patterns
THIS IS A LEGACY SPECIFICATION ADVANCED GCE CHEMISTRY 2815/01 Trends and Patterns *OCE/13482* Candidates answer on the Question Paper A calculator may be used for this paper OCR Supplied Materials: Data
The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 72.
ADVANCED GCE UNIT MATHEMATICS (MEI) Applications of Advanced Mathematics (C) Paper A TUESDAY 3 JANUARY 007 Additional materials: Answer booklet (8 pages) Graph paper MEI Examination Formulae and Tables