* * MATHEMATICS (MEI) 4753/01 Methods for Advanced Mathematics (C3) ADVANCED GCE. Thursday 15 January 2009 Morning. Duration: 1 hour 30 minutes
|
|
- Adelia Dean
- 6 years ago
- Views:
Transcription
1 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 (MF) Other Materials Required: None Thursday 5 January 009 Morning Duration: hour 0 minutes * * * * INSTRUCTIONS TO CANDIDATES Write your name clearly in capital letters, your Centre Number and Candidate Number in the spaces provided on the Answer Booklet. Use black ink. Pencil may be used for graphs and diagrams only. Read each question carefully and make sure that 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 graphical calculator in this paper. Final answers should be given to a degree of accuracy appropriate to the contet. 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. OCR 009 [M/0/65] OCR is an eempt Charity R 8H6 Turn over
2 Section A (6 marks) Solve the inequality <. (i) Differentiate cos with respect to. (ii) Integrate cos with respect to. Given that f() = ln( ) and g() = + e, show that g() is the inverse of f(). 4 Find the eact value of 0 + 4, showing your working. [5] 5 (i) State the period of the function f() = + cos, where is in degrees. [] (ii) State a sequence of two geometrical transformations which maps the curve y = cos onto the curve y = f(). (iii) Sketch the graph of y = f() for 80 < < (i) Disprove the following statement. If p > q, then p <. [] q (ii) State a condition on p and q so that the statement is true. [] 7 The variables and y satisfy the equation + y = 5. (i) Show that dy = (y ). Both and y are functions of t. (ii) Find the value of dy dt when =, y = 8 and dt = 6. OCR /0 Jan09
3 Section B (6 marks) 8 Fig. 8 shows the curve y = ln. P is the point on this curve with -coordinate, and R is the 8 point (0, 7 8 ). y P O Q R 7 (0, 8 ( Fig. 8 (i) Find the gradient of PR. (ii) Find dy. Hence show that PR is a tangent to the curve. (iii) Find the eact coordinates of the turning point Q. [5] (iv) Differentiate ln. Hence, or otherwise, show that the area of the region enclosed by the curve y = ln, the 8 -ais and the lines = and = is 59 4 ln. [7] 4 [Question 9 is printed overleaf.] OCR /0 Jan09 Turn over
4 9 Fig. 9 shows the curve y = f(), where f() = The curve has asymptotes = 0 and = a. 4. y O Fig. 9 a (i) Find a. Hence write down the domain of the function. (ii) Show that dy = ( ). Hence find the coordinates of the turning point of the curve, and write down the range of the function. [8] The function g() is defined by g() =. (iii) (A) Show algebraically that g() is an even function. (B) Show that g( ) = f(). (C) Hence prove that the curve y = f() is symmetrical, and state its line of symmetry. [7] Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (OCR) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. OCR is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Eaminations Syndicate (UCLES), which is itself a department of the University of Cambridge. OCR /0 Jan09
5 475 Mark Scheme January (C) Methods for Advanced Mathematics Section A < < < < < 4 (i) y= cos dy sin cos = + B B or = ±, or squaring correct quadratic ( + )( 4) (condone factorising errors) or correct sketch showing y = to scale < < 4 (penalise once only) product rule d/ (cos) = sin oe cao (ii) d cos = ( sin ) = sin sin = sin + cos + c 4 Either y = ln( ) y = ln( y ) = ln (y ) e = y + e = y g() = + e or gf() = g( ½ ln ( )) ln( ) = + e = + = letu = + 4, du = 4 9 = / u. du 4 9 = / 6 u = 7 6 = = or or d / / / (+ 4 ) = 4. (+ 4 ) = 6(+ 4 ) ( 4 ) / + = / 0 ( + 4 ) 6 0 = 7 6 = = or ft E E B cao cao [5] parts with u =, v = ½ sin + cos 4 cao must have + c ( )/ or y = e attempt to invert and interchanging with y o.e. (at any stage) e ln y = y or ln (e y ) = y used www or fg() = (correct way round) e ln( ) = or ln(e ) = www u = + 4 and du/ = 4 or du = 4 u. du 4 / / u u du = soi / substituting correct limits (u or ) dep attempt to integrate / k ( + 4) / / / (+ 4 ) = (+ 4 )... ¼ substituting limits (dep attempt to integrate) 9
6 475 Mark Scheme January 009 5(i) period 80 (ii) one-way stretch in -direction scale factor ½ translation in y-direction through 0 B [] condone 0 80 or π [either way round ] condone squeeze, contract for stretch used and s.f ½ condone move, shift, etc for translation used, + unit 0 only is A0 (iii) correct shape, touching -ais at -90, 90 B correct domain (0, ) marked or indicated (i.e. amplitude is ) (i) e.g p = and q = p > q but /p = > /q = ½ E [] stating values of p, q with p 0 and q 0 (but not p = q = 0) showing that /p > /q - if 0 used, must state that /0 is undefined or infinite (ii) Both p and q positive (or negative) B [] or q > 0, positive integers 7(i) / / dy + y = 0 / dy = / y / y y = = / * E Implicit differentiation (must show = 0) solving for dy/ www. Must show, or eplain, one more step. (ii) dy dy =. dt dt 8 =.6 = cao any correct form of chain rule 0
7 475 Mark Scheme January 009 8(i) When = y = (ln )/8 = B Gradient of PR = ( + 7/8)/ = or better (ii) dy = 8 When =, dy/ = /8 = 7 8 Same as gradient of PR, so PR touches curve B Bdep E cao.9 or better dep st B dep gradients eact (iii) Turning points when dy/ = 0 = 0 8 = 8 = /6 = ¼ ( > 0) When = ¼, y = ln = + ln So TP is (, + ln4) cao [5] setting their derivative to zero multiplying through by allow verification substituting for in y o.e. but must be eact, not /4. Mark final answer. (iv) d ( ln ) =. +.ln = ln product rule ln Area = ( ln ) 8 = ( ln ) 8 = 8 ( ln + ) ( ln + ) correct integral and limits (soi) condone no ln = ln used (or derived using integration by parts) ( ln ) bracket required 8 substituting correct limits = 7 + ln 8 4 = 59 ln * 4 4 E [7] must show at least one step
8 475 Mark Scheme January 009 9(i) Asymptotes when ( )( ) = 0 ( ) = 0 = 0 or so a = Domain is 0 < < Bft or by verification > 0 and <, not (ii) y = ( ) / let u =, y = u / dy/du = ½ u /, du/ = dy dy du / =. = ( ).( ) du = * / ( ) dy/ = 0 when = 0 =, y = / ( ) = Range is y B E B Bft [8] chain rule (or within correct quotient rule) ½ u / or ( ) / or ( / ) in quotient rule ( ) www penalise missing brackets here etraneous solutions M0 (iii) (A) g( ) = = = g( ) ( ) (B) g( ) = ( ) = = = f( ) + E E Epression for g( ) must have g( ) = g() seen must epand bracket (C) f() is g() translated unit to the right. But g() is symmetrical about Oy So f() is symmetrical about =. dep both s or f( ) = g( ), f( + ) = g() f( + ) = f( ) f() is symmetrical about =. E [7] or f( ) = = = ( ) + f( + ) = = = + ( + ) +
MATHEMATICS (MEI) MONDAY 2 JUNE 2008 ADVANCED GCE 4753/01. Methods for Advanced Mathematics (C3) Morning Time: 1 hour 30 minutes
ADVANCED GCE 475/0 MATHEMATICS (MEI) Methods for Advanced Mathematics (C) MONDAY JUNE 008 Additional materials (enclosed): None Additional materials (required): Answer Booklet (8 pages) Graph paper MEI
More informationMethods for Advanced Mathematics (C3) FRIDAY 11 JANUARY 2008
ADVANCED GCE 4753/0 MATHEMATICS (MEI) Methods for Advanced Mathematics (C3) FRIDAY JANUARY 008 Additional materials: Answer Booklet (8 pages) Graph paper MEI Eamination Formulae and Tables (MF) Morning
More informationConcepts 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
More informationADVANCED SUBSIDIARY GCE MATHEMATICS (MEI)
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 475 Concepts for Advanced Mathematics (C) Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Insert for Questions 5 and (inserted)
More informationConcepts 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)
More informationThe 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 Further Methods for Advanced Mathematics (FP THURSDAY JUNE Additional materials: Answer booklet (8 pages Graph paper MEI Eamination Formulae and Tables (MF Morning
More informationMethods for Advanced Mathematics (C3) FRIDAY 11 JANUARY 2008
ADVANCED GCE 4753/ MATHEMATICS (MEI) Methods for Advanced Mathematics (C3) FRIDAY JANUARY 8 Additional materials: Answer Booklet (8 pages) Graph paper MEI Eamination Formlae and Tables (MF) Morning Time:
More informationConcepts for Advanced Mathematics (C2) THURSDAY 15 MAY 2008
ADVANCED SUBSIDIARY GCE 4752/0 MATHEMATICS (MEI) Concepts for Advanced Mathematics (C2) THURSDAY 5 MAY 2008 Additional materials: Answer Booklet (8 pages) Insert for Question 3 MEI Examination Formulae
More information* * 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
More information4754A 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
More information* * MATHEMATICS (MEI) 4755 Further Concepts for Advanced Mathematics (FP1) ADVANCED SUBSIDIARY GCE. Thursday 15 January 2009 Morning
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 4755 Further Concepts for Advanced Mathematics (FP) Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination
More informationThe 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 4753/0 MATHEMATICS (MEI) Methods for Advanced Mathematics (C3) MONDAY JUNE 007 Additional materials: Answer booklet (8 pages) Graph paper MEI Examination Formulae and Tables (MF) Afternoon
More informationApplications of Advanced Mathematics (C4) Paper A TUESDAY 22 JANUARY 2008
ADVANCED GCE 4754/0A MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A TUESDAY JANUARY 008 Additional materials: Answer Booklet (8 pages) Graph paper MEI Eamination Formulae and Tables
More information* * 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
More informationMATHEMATICS (MEI) 4776 Numerical Methods
ADVANCED SUBSIDIARY GCE MATHEMATICS (MEI) 4776 Numerical Methods * OCE / V 0 221 5 * Candidates answer on the Answer Booklet OCR Supplied Materials: 8 page Answer Booklet Graph paper MEI Examination Formulae
More information4754A * * A A. MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A ADVANCED GCE. Friday 14 January 2011 Afternoon
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)
More informationTuesday 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
More informationApplications 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
More information* * 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
More informationMEI STRUCTURED MATHEMATICS 4753/1
OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiar General Certificate of Education Advanced General Certificate of Education MEI STRUCTURED MATHEMATICS 4753/ Methods for Advanced Mathematics (C3)
More informationWednesday 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
More informationMEI STRUCTURED MATHEMATICS 4753/1
OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary General Certificate of Education Advanced General Certificate of Education MEI STRUCTURED MATHEMATICS 4753/1 Methods for Advanced Mathematics (C3)
More informationFurther Concepts for Advanced Mathematics (FP1) FRIDAY 11 JANUARY 2008
ADVANCED SUBSIDIARY GCE 4755/0 MATHEMATICS (MEI) Further Concepts for Advanced Mathematics (FP) FRIDAY JANUARY 008 Additional materials: Answer Booklet (8 pages) Graph paper MEI Examination Formulae and
More informationMATHEMATICS 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:
More information4754A 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
More informationFriday 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
More informationMATHEMATICS 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)
More informationCambridge International AS & A Level
Cambridge International AS & A Level *0123456789* FURTHER MATHEMATICS 9231/02 Paper 2 Further Pure Mathematics 2 For examination from 2020 SPECIMEN PAPER 2 hours You must answer on the question paper.
More informationB293A. MATHEMATICS B (MEI) Paper 3 Section A (Higher Tier) GENERAL CERTIFICATE OF SECONDARY EDUCATION. Friday 9 January 2009 Morning WARNING
H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 3 Section A (Higher Tier) B293A *CUP/T61573* Candidates answer on the question paper OCR Supplied Materials: None Other Materials
More informationThe 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 SUBSIDIARY GCE UNIT 475/0 MATHEMATICS (MEI) Introduction to Advanced Mathematics (C) THURSDAY 7JUNE 007 Additional materials: Answer booklet (8 pages) MEI Examination Formulae and Tables (MF)
More informationThe 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 SUBSIDIARY GCE UNIT 4776/01 MATHEMATICS (MEI) Numerical Methods WEDNESDAY 20 JUNE 2007 Additional materials: Answer booklet (8 pages) Graph paper MEI Examination Formulae and Tables (MF2) Afternoon
More informationTuesday 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)
More informationIntroduction to Advanced Mathematics (C1) THURSDAY 15 MAY 2008
ADVANCED SUBSIDIARY GCE 471/01 MATHEMATICS (MEI) Introduction to Advanced Mathematics (C1) THURSDAY 1 MAY 008 Additional materials: Answer Booklet (8 pages) MEI Examination Formulae and Tables (MF) Morning
More informationMATHEMATICS 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
More informationphysicsandmathstutor.com
ADVANCED SUBSIDIARY GCE UNIT 4732/01 MATHEMATICS Probability & Statistics 1 FRIDAY 12 JANUARY 2007 Morning Additional Materials: Answer Booklet (8 pages) List of Formulae (MF1) Time: 1 hour 30 minutes
More information* * MATHEMATICS 4732 Probability & Statistics 1 ADVANCED SUBSIDIARY GCE. Wednesday 21 January 2009 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:
More informationMATHEMATICS (MEI) FRIDAY 6 JUNE 2008 ADVANCED GCE 4757/01. Further Applications of Advanced Mathematics (FP3) Afternoon Time: 1 hour 30 minutes
ADVANCED GCE 757/01 MATHEMATICS (MEI) Further Applications of Advanced Mathematics (FP) FRIDAY JUNE 008 Additional materials (enclosed): None Additional materials (required): Answer Booklet (8 pages) Graph
More informationThe 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 758/0 MATHEMATICS (MEI) Differential Equations THURSDAY 5 JANUARY 007 Additional materials: Answer booklet (8 pages) Graph paper MEI Examination Formulae and Tables (MF) Morning Time:
More informationThe 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 SUBSIDIARY GCE UNIT 755/0 MATHEMATICS (MEI) Further Concepts for Advanced Mathematics (FP) THURSDAY 8 JANUARY 007 Additional materials: Answer booklet (8 pages) Graph paper MEI Examination Formulae
More informationMATHEMATICS 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
More informationWARNING You are not allowed to use a calculator in Section A of this paper. This document consists of 15 printed pages and 1 blank page.
GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS C (GRADUATED ASSESSMENT) HIGHER TERMINAL PAPER SECTION A MONDAY 2 JUNE 2008 H B252A Afternoon Time: 1 hour *CUP/T52253* Candidates answer on the question
More informationWARNING. You are not allowed to use a calculator in Section A of this paper. This document consists of 10 printed pages and 2 blank pages.
*CUP/T40907* H GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) PAPER 1 SECTION A HIGHER TIER MONDAY 4 JUNE 2007 Additional materials: Geometrical instruments Tracing paper (optional) B263A
More informationMechanics 2 THURSDAY 17 JANUARY 2008
ADVANCED GCE 4762/01 MATHEMATICS (MEI) Mechanics 2 THURSDAY 17 JANUARY 2008 Additional materials: Answer Booklet (8 pages) Graph paper MEI Examination Formulae and Tables (MF2) Afternoon Time: 1 hour 30
More informationMEI 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
More informationB294B. 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:
More informationMorning Time: 1 hour 30 minutes
ADVANCED SUBSIDIARY GCE 477/0 MATHEMATICS (MEI) Decision Mathematics THURSDAY 2 JUNE 2008 Morning Time: hour 30 minutes *CUP/T44383* Additional materials: Printed Answer Book (enclosed) MEI Examination
More informationThe 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 SUBSIDIARY GCE UNIT 4755/01 MATHEMATICS (MEI) Further Concepts for Advanced Mathematics (FP1) MONDAY 11 JUNE 2007 Additional materials: Answer booklet (8 pages) Graph paper MEI Examination Formulae
More informationProbability & Statistics 1 TUESDAY 15 JANUARY 2008
ADVANCED SUBSIDIARY GCE 4732/01 MATHEMATICS Probability & Statistics 1 TUESDAY 15 JANUARY 2008 Additional materials: Answer Booklet (8 pages) List of Formulae (MF1) Morning Time: 1 hour 30 minutes INSTRUCTIONS
More informationCHEMISTRY 2815/06 Transition Elements
THIS IS A LEGACY SPECIFICATION ADVANCED GCE CHEMISTRY 2815/06 Transition Elements *CUP/T76258* Candidates answer on the question paper A calculator may be used for this paper OCR Supplied Materials: Data
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education *41476759* ADDITIONAL MATHEMATICS 0606/ Paper February/March 017 hours Candidates answer on the Question
More informationApplications of Advanced Mathematics (C4) Paper B: Comprehension TUESDAY 22 JANUARY 2008 Time:Upto1hour
ADVANCED GCE 4754/01B MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper B: Comprehension TUESDAY JANUARY 008 Afternoon Time:Upto1hour Additional materials: Rough paper MEI Examination Formulae
More informationB278A 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
More informationMATHEMATICS 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:
More informationGENERAL 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
More informationADDITIONAL MATHEMATICS 4037/01
Cambridge O Level *0123456789* ADDITIONAL MATHEMATICS 4037/01 Paper 1 For examination from 2020 SPECIMEN PAPER 2 hours You must answer on the question paper. No additional materials are needed. INSTRUCTIONS
More informationTime: 1 hour 30 minutes
*CUP/T38891* ADVANCED SUBSIDIARY GCE 4776/01 MATHEMATICS (MEI) Numerical Methods MONDAY 16 JUNE 2008 Additional materials: Answer Booklet (8 pages) Graph paper MEI Examination Formulae and Tables (MF2)
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level * 4 5 5 1 7 0 1 0 2 8 * ADDITIONAL MATHEMATICS 4037/23 Paper 1 October/November 2016 2 hours Candidates answer on the Question Paper. No Additional
More informationMorning. This document consists of 8 printed pages and a Data Sheet for Chemistry.
ADVANCED SUBSIDIARY GCE 2813/01 CHEMISTRY How Far, How Fast? THURSDAY 11 JANUARY 2007 Morning Additional materials: Scientific calculator Data Sheet for Chemistry (Inserted) Time: 45 minutes INSTRUCTIONS
More informationThursday 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
More information* * 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
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level *122414780* FURTHER MATHEMATICS 9231/01 Paper 1 October/November 2007 Additional Materials: Answer Booklet/Paper
More information* * 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
More informationThe 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 7/ MATHEMATICS (MEI Further Methods for Advanced Mathematics (FP THURSDAY 7 JUNE 7 Additional materials: Answer booklet (8 pages Graph paper MEI Examination Formulae and Tables (MF Morning
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level *1484530378* FURTHER MATHEMATICS 931/01 Paper 1 May/June 009 Additional Materials: Answer Booklet/Paper
More informationTHIS 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:
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *0835058084* ADDITIONAL MATHEMATICS 0606/11 Paper 1 October/November 2012 2 hours Candidates
More information* * 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
More informationB293A. 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:
More informationMETHODS 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
More informationB264B MATHEMATICS B (MEI) MONDAY 2 JUNE 2008 GENERAL CERTIFICATE OF SECONDARY EDUCATION. Paper 4 Section B (Higher Tier) Afternoon Time: 1 hour
GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS B (MEI) Paper 4 Section B (Higher Tier) MONDAY 2 JUNE 2008 H B264B Afternoon Time: 1 hour *CUP/T48337* Candidates answer on the question paper Additional
More informationWednesday 7 June 2017 Morning
Oxford Cambridge and RSA Wednesday 7 June 017 Morning AS GCE MATHEMATICS (MEI) 475/01 Concepts for Advanced Mathematics (C) QUESTION PAPER *6863001043* Candidates answer on the Printed Answer Book. OCR
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level *2047147351* ADDITIONAL MATHEMATICS 4037/22 Paper 2 October/November 2017 2 hours Candidates answer on the Question Paper. No Additional Materials
More information* * 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
More informationOXFORD 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
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education *5331723388* ADDITIONAL MATHEMATICS 0606/12 Paper 1 February/March 2017 2 hours Candidates answer
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Eaminations Cambridge Ordinary Level *9055858292* ADDITIONAL MATHEMATICS 4037/11 Paper 1 May/June 2018 2 hours Candidates answer on the Question Paper. No Additional Materials are
More informationWednesday 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:
More informationMATHEMATICS (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
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
*54579754* Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 67/6 Paper 6 (Extended) May/June 24 hour 3 minutes
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level
UNIVERSITY F CMBRIDGE INTERNTINL EXMINTINS General Certificate of Education dvanced Subsidiary Level and dvanced Level *336370434* MTHEMTICS 9709/11 Paper 1 Pure Mathematics 1 (P1) ctober/november 013
More information* * 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:
More informationTHIS 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
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education *8262841617* ADDITIONAL MATHEMATICS 0606/13 Paper 1 May/June 2017 2 hours Candidates answer on the
More informationOXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary General Certificate of Education Advanced General Certificate of Education MEI STRUCTURED MATHEMATICS 4752 Concepts for Advanced Mathematics (C2)
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
www.xtremepapers.com Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 7 5 5 2 6 5 9 0 8 8 * ADDITIONAL MATHEMATICS 0606/13 Paper 1 May/June 2015
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level *054681477* ADDITIONAL MATHEMATICS 407/11 Paper 1 May/June 017 hours Candidates answer on the Question Paper. No Additional Materials are required.
More informationMechanics 2 THURSDAY 17 JANUARY 2008
ADVANCED GCE 4762/01 MATHEMATICS (MEI) Mechanics 2 THURSDAY 17 JANUARY 2008 Additional materials: Answer Booklet (8 pages) Graph paper MEI Examination Formulae and Tables (MF2) Afternoon Time: 1 hour 0
More information* * 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
More informationThursday 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
More informationwww.onlineexamhelp.com www.onlineexamhelp.com * 031 674 651 3 * UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education ADDITIONAL MATHEMATICS 0606/22
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level *5238158802* MATHEMATICS 9709/31 Paper 3 Pure Mathematics 3 (P3) October/November 2013 Additional Materials:
More informationMonday 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
More informationMEI STRUCTURED MATHEMATICS 4753/1
OXFORD CAMBRIDGE AND RSA EXAMINATIONS Advanced Subsidiary General Certificate of Education Advanced General Certificate of Education MEI STRUCTURED MATHEMATICS 473/ Methods for Advanced Mathematics (C3)
More informationIntroduction to Advanced Mathematics (C1) WEDNESDAY 9 JANUARY 2008
ADVANCED SUBSIDIARY GCE 475/0 MATHEMATICS (MEI) Introduction to Advanced Mathematics (C) WEDNESDAY 9 JANUARY 008 Additional materials: Answer Booklet (8 pages) MEI Examination Formulae and Tables (MF)
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education *7292744436* ADDITIONAL MATHEMATICS 0606/23 Paper 2 May/June 2017 2 hours Candidates answer on the
More informationWednesday 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
More informationFriday 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
More informationWednesday 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:
More informationWednesday 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
More informationThursday 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
More information