4754A A A * * MATHEMATICS (MEI) Applications of Advanced Mathematics (C4) Paper A ADVANCED GCE. Tuesday 13 January 2009 Morning
|
|
- Rosaline Sharp
- 5 years ago
- Views:
Transcription
1 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 and Tables (MF2) Other Materials Required: None Tuesday 13 January 29 Morning Duration: 1 hour 3 minutes * * A A * * 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 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 72. This document consists of pages. Any blank pages are indicated. NOTE This paper will be followed by Paper B: Comprehension. OCR 29 [T/12/2653] OCR is an exempt Charity 2R 8H16 Turn over
2 1 Express 2 Section A (36 marks) 3x + 2 x(x 2 in partial fractions. [6] + 1) 2 Show that (1 + 2x) x 9 x2 +..., and find the next term in the expansion. State the set of values of x for which the expansion is valid. [6] 3 Vectors a and b are given by a 2i + j k and b i 2j + k. Find constants λ and µ such that λa + µb j 3k. Prove that cot β cot α sin(α β) sin α sin β. [3] 5 (i) Write down normal vectors to the planes 2x y + 2 and x 1. Hence find the acute angle between the planes. (ii) Write down a vector equation of the line through (2,, 1) perpendicular to the plane 2x y + 2. Find the point of intersection of this line with the plane. 6 (i) Express cos θ + 3 sin θ in the form R cos(θ α), where R > and α is acute, expressing α in terms of π. (ii) Write down the derivative of tan θ. Hence show that 1 3 π 1 (cos θ + 3 sin θ) 2 dθ 3. OCR 29 75A Jan9
3 3 Section B (36 marks) 7 Scientists can estimate the time elapsed since an animal died by measuring its body temperature. (i) Assuming the temperature goes down at a constant rate of 1.5 degrees Fahrenheit per hour, estimate how long it will take for the temperature to drop (A) from 98 F to 89 F, (B) from 98 F to 8 F. [2] In practice, rate of temperature loss is not likely to be constant. A better model is provided by Newton s law of cooling, which states that the temperature θ in degrees Fahrenheit t hours after death is given by the differential equation dθ dt k(θ θ ), where θ F is the air temperature and k is a constant. (ii) Show by integration that the solution of this equation is θ θ + Ae kt, where A is a constant. The value of θ is 5, and the initial value of θ is 98. The initial rate of temperature loss is 1.5 F per hour. (iii) Find A, and show that k (iv) Use this model to calculate how long it will take for the temperature to drop (A) from 98 F to 89 F, (B) from 98 F to 8 F. (v) Comment on the results obtained in parts (i) and (iv). [1] [Question 8 is printed overleaf.] OCR 29 75A Jan9 Turn over
4 8 Fig. 8 illustrates a hot air balloon on its side. The balloon is modelled by the volume of revolution about the x-axis of the curve with parametric equations x sin θ, y 2 cos θ + sin 2θ, ( θ 2π). The curve crosses the x-axis at the point A (, ). B and C are maximum and minimum points on the curve. Units on the axes are metres. y B O A (, ) x C Fig. 8 (i) Find dy in terms of θ. dx (ii) Verify that dy dx when θ 1 π, and find the exact coordinates of B. 6 Hence find the maximum width BC of the balloon. (iii) (A) Show that y x cos θ. (B) Find sin θ in terms of x and show that cos 2 θ x 1 x2. (C) Hence show that the cartesian equation of the curve is y 2 x 3 1 x. [7] (iv) Find the volume of the balloon. [3] 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 Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. OCR 29 75A Jan9
5 75 Mark Scheme January (C) Applications of Advanced Mathematics Section A 1 3x + 2 A Bx+ C xx ( + 1) x ( x + 1) 3x + 2 A(x 2 + 1) + (Bx + C)x x 2 A coefft of x 2 : A + B B 2 coefft of x: 3 C correct partial fractions equating coefficients at least one of B,C correct 3x x + xx x x 2 2 ( + 1) ( + 1) [6] 1 2.( ) 1 (1+ 2 x) x+ 3 3 (2 x) ! x x x x +... * ( )( ) Next term (2 ) 3 x 3! 3 81 x 2(i) 1/3 2 binomial expansion correct unsimplified expression simplification www Valid for 1 < 2x < 1 ½ < x < ½ [6] 3 j 3k λ a + μ b λ(2i + j k) + μ(i 2j + k) 2λ + μ λ 2μ 3 λ + μ λ 2μ, 2λ λ 2, μ 1, equating components at least two correct equations LHS cot β cot α cos β cosα sin β sinα sinα cos β cosαsin β sinαsin β sin( α β) sinα sin β OR RHS sin( α β) sin α cos β cos α sin β sin α sin β sin α sin β sin α sin β cot β cot α [3] cot cos / sin combining fractions www using compound angle formula splitting fractions using cotcos/sin 13
6 75 Mark Scheme January (i) Normal vectors 1 and 1 1 Angle between planes is θ, where cosθ ( 1) + 1 ( 1) 2 + ( 1) ( 1) / 12 θ 73.2 or 1.28 rads scalar product finding invcos of scalar product divided by two modulae 2 2 (ii) r + λ λ λ 1+ λ 2(2 + 2λ) ( λ) + (1 + λ) λ 2 λ ½ So point of intersection is (1, ½, ½ ) 6(i) cosθ + 3 sinθ r cos( θ α) Rcosθ cosα + Rsinθsinα Rcosα 1, Rsinα 3 R ( 3) 2, R 2 tan α 3 α π/3 R 2 equating correct pairs tan α 3 o.e. (ii) derivative of tan θ is sec 2 θ π π sec ( ) (cos 3 sin ) d π θ θ 3 d θ θ + θ 1 π tan( θ ) 3 ¼ ( ( 3)) 3/ * π 3 ft their α 1 R 2 www [tan (θ π/3] ft their R,α(in radians) 1
7 75 Mark Scheme January 29 Section B 7(i) (A) 9 / hours (B) 18/ hours [2] (ii) dθ k( θ θ) dt dθ kdt θ θ θ θ ln( ) kt + c separating variables ln( θ θ) kt + c θ θ e kt+ c anti-logging correctly(with c) θ kt θ + Ae * Ae c (iii) Ae A 8 Initially d θ k(98 5) 8k 1.5 dt k.3125*.3125t (iv) (A) e 39/8 e.3125t t ln(39/8)/(.3125) 6.6 hours.3125t (B) e 3/8 e.3125t t ln(3/8)/(.3125) 15 hours equating taking lns correctly for either (v) Models disagree more for greater temperature loss [1] 15
8 75 Mark Scheme January 29 8(i) dy 2cos2θ 2sinθ dθ, dx 2cosθ dθ dy dy / dθ dx dx / dθ dy 2cos2θ 2sinθ cos 2θ sinθ dx 2cosθ cosθ, substituting for theirs oe (ii) When θ π/6, dy cos π / 3 sin π / 6 dx cos π / 6 1/2 1/2 3/2 Coords of B: x 2 + 2sin(π/6) 3 y 2cos(π/6) + sin(π/3) 3 3/2 BC 2 3 3/2 3 3, ft for either exact (iii) (A) y 2cosθ + sin2θ 2 cos θ + 2 sin θ cos θ 2cos θ (1 + sin θ) xcos θ * (B) sinθ ½ (x 2) cos 2 θ 1 sin 2 θ 1 ¼ (x 2) 2 1 ¼ x 2 + x 1 (x ¼ x 2 ) * (C) Cartesian equation is y 2 x 2 cos 2 θ x 2 (x ¼ x 2 ) x 3 ¼ x * [7] sin2θ 2 sin θ cos θ squaring and substituting for x (iv) 2 V π y dx 3 1 π ( x x ) dx π x x 2 π(6 51.2) 12.8π.2 (m 3 ) [3] need limits x x π or or better. 16
4754A * * 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 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 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 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) 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
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 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 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 informationAdvanced 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)
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 informationMATHEMATICS (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 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 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 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 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 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) Applications of Advanced Mathematics (C) Paper A TUESDAY 3 JANUARY 007 Additional materials: Answer booklet (8 pages) Graph paper MEI Examination Formulae and Tables
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 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 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 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 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 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 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 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 informationWednesday 18 June 2014 Afternoon
Wednesday 8 June 04 Afternoon A GCE MATHEMATICS (MEI) 4754/0A Applications of Advanced Mathematics (C4) Paper A QUESTION PAPER * 4 3 4 5 9 5 9 * Candidates answer on the Printed Answer Book. OCR supplied
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 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 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 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 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 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 informationCambridge International Examinations Cambridge Ordinary Level
www.onlineexamhelp.com Cambridge International Examinations Cambridge Ordinary Level * 2 4 5 9 7 1 6 2 7 8 * ADDITIONAL MATHEMATICS 4037/21 Paper 2 May/June 2014 2 hours Candidates answer on the Question
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) Applications of Advanced Mathematics (C4) Paper A THURSDAY 4 JUNE 7 Additional materials: Answer booklet (8 pages) Graph paper 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 *41476759* ADDITIONAL MATHEMATICS 0606/ Paper February/March 017 hours Candidates answer on the Question
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level * 2 2 1 1 9 6 0 6 4 7 * ADDITIONAL MATHEMATICS 4037/22 Paper 2 May/June 2016 2 hours Candidates answer on the Question Paper. No Additional
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 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 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 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 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 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 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 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 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 informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level *8790810596* ADDITIONAL MATHEMATICS 4037/13 Paper 1 October/November 2017 2 hours Candidates answer on the Question Paper. No Additional Materials
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education ADDITIONAL MATHEMATICS 0606/02 Paper 2 Examination from 2013 SPECIMEN PAPER 2 hours Candidates
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 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 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 *2047147351* ADDITIONAL MATHEMATICS 4037/22 Paper 2 October/November 2017 2 hours Candidates answer on the Question Paper. No Additional Materials
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 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 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 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 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 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 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 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 Cambridge International Level 3 Pre-U Certificate Principal Subject
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge International Level 3 Pre-U Certificate Principal Subject *048587954* MATHEMATICS 9794/0 Paper Pure Mathematics and Mechanics May/June 011 Additional
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 informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education *5325132921* ADDITIONAL MATHEMATICS 0606/12 Paper 1 February/March 2018 2 hours Candidates answer
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education ADDITIONAL MATHEMATICS 0606/01
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education ADDITIONAL MATHEMATICS 0606/01 Paper 1 Additional Materials: Answer Booklet/Paper Electronic
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
www.xtremepapers.com Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 8 0 2 3 6 5 2 7 1 3 * ADDITIONAL MATHEMATICS 0606/11 Paper 1 October/November
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 informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 9 2 4 2 8 1 9 0 7 2 * ADDITIONAL MATHEMATICS 0606/12 Paper 1 February/March 2016 2 hours Candidates
More informationwww.onlineexamhelp.com www.onlineexamhelp.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level * 1 0 2 2 9 5 6 0 3 3 * ADDITIONAL MATHEMATICS 4037/22 Paper
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 9 1 1 9 9 9 9 1 * ADDITIONAL MATHEMATICS 0606/1 Paper May/June 016 hours Candidates answer on the
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 informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level * 3 9 5 8 3 8 6 4 7 * ADDITIONAL MATHEMATICS 4037/13 Paper1 October/November 016 hours CandidatesanswerontheQuestionPaper. NoAdditionalMaterialsarerequired.
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 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 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 informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
PAPA CAMBRIDGE Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 9 7 8 0 7 1 0 6 7 7 * ADDITIONAL MATHEMATICS 0606/11 Paper 1 May/June 014 hours
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 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 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 informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 0 8 7 6 9 0 5 1 6 * ADDITIONAL MATHEMATICS 0606/11 Paper 1 October/November 016 hours Candidates
More informationMonday 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
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 informationMEI 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
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *1406924476* ADDITIONAL MATHEMATICS 0606/21 Paper 2 May/June 2010 Additional
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 informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
PAPA CAMBRIDGE Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 9 1 0 4 5 3 8 9 2 1 * ADDITIONAL MATHEMATICS 0606/23 Paper 2 May/June 2014 2 hours
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 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 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 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 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 informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level * 9 4 5 1 6 2 0 9 2 4 * ADDITIONAL MATHEMATICS 4037/12 Paper 1 October/November 2015 2 hours Candidates answer on the Question Paper. No Additional
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 informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education *6595404132* ADDITIONAL MATHEMATICS 0606/21 Paper 2 May/June 2017 2 hours Candidates answer on the
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 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 informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *0050607792* ADDITIONAL MATHEMATICS 0606/21 Paper 2 May/June 2012 2 hours
More informationThursday 14 June 2012 Morning
Thursday 14 June 01 Morning A GCE MATHEMATICS (MEI) 4757 Further Applications of Advanced Mathematics (FP3) QUESTION PAPER *471575061* Candidates answer on the Printed Answer Book. OCR supplied materials:
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level *3621984096* ADDITIONAL MATHEMATICS 4037/23 Paper 2 October/November 2017 2 hours Candidates answer on the Question Paper. No Additional Materials
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 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 information