Friday 5 June 2015 Morning

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1 Oxford Cambridge and RSA Friday 5 June 2015 Morning AS GCE MATHEMATICS 4736/01 Decision Mathematics 1 PRINTED ANSWER BOOK * * Candidates answer on the Printed Answer Book. OCR supplied materials: Question Paper 4736/01 (inserted) List of Formulae (MF1) Other materials required: Scientific or graphical calculator Duration: 1 hour 30 minutes * * INSTRUCTIONS TO CANDIDATES These instructions are the same on the Printed Answer Book and the Question Paper. The Question Paper will be found inside the Printed Answer Book. Write your name, centre number and candidate number in the spaces provided on the Printed Answer Book. Please write clearly and in capital letters. Write your answer to each question in the space provided in the Printed Answer Book. Additional paper may be used if necessary but you must clearly show your candidate number, centre number and question number(s). Use black ink. HB pencil may be used for graphs and diagrams only. Answer all the questions. Read each question carefully. Make sure you know what you have to do before starting your answer. Do not write in the bar codes. You are permitted to use a scientific or graphical calculator in this paper. Give non-exact numerical answers correct to 3 significant figures unless a different degree of accuracy is specified in the question or is clearly appropriate. INFORMATION FOR CANDIDATES This information is the same on the Printed Answer Book and the Question Paper. The number of marks is given in brackets [ ] at the end of each question or part question on the Question Paper. You are reminded of the need for clear presentation in your answers. The total number of marks for this paper is 72. The Printed Answer Book consists of 16 pages. The Question Paper consists of 12 pages. Any blank pages are indicated. OCR 2015 [M/102/2697] DC (NF) 83155/3 OCR is an exempt Charity Turn over

2 2 1 (i) List at end of first pass: Comparisons = Swaps = 1 (ii) List at end of fourth pass: Comparisons = Swaps = 1 (iii) OCR 2015

3 3 1 (iv) List at end of first pass: Comparisons = Swaps = 1 (v) List at end of fourth pass: Comparisons = Swaps = 1 (vi) Comparisons = Swaps = 1 (vii) OCR 2015 Turn over

4 4 2 (i) 2 (ii) BD = 5 FG = 5 DE = 6 DF = 7 A B EH = 7 BC = 8 DG = 8 GH = 8 AD = 9 CD = 9 EG = 9 AB = 10 H G C D AE = 10 CF = 10 F E OCR 2015

5 5 2 (iii) 2 (iv) A B C D E F G H A B C D E F G H 7 8 OCR 2015 Turn over

6 6 3 (i) 3 (ii) 3 (iii) OCR 2015

7 7 3 (iv) DO NOT WRITE IN THIS SPACE OCR 2015 Turn over

8 8 4 (i) 4 (ii) 4 (iii) Initial tableau P x y z s t u v RHS row 1 row 2 row 3 row 4 row 5 space for working (answer space continues on next page) OCR 2015

9 9 4 (iii) (continued) After one iteration P x y z s t u v RHS row 1ʹ row 2ʹ row 3ʹ row 4ʹ row 5ʹ 4 (iv) OCR 2015 Turn over

10 10 5 (i) A 200 B F 200 H Do not cross out your temporary labels Key: 500 Permanent label 200 C D E G 270 Order of becoming permanent Temporary labels 5 (ii) 5 (iii) OCR 2015

11 11 5 (iv) 5 (v) A 200 B F 200 H D C E G OCR 2015 Turn over

12 12 6 (i) Cube 2 G Y B R 6 (ii) 6 (iii) Cube 4 G Y B R 6 (iv) G Y 3 B 1 3 R OCR 2015

13 13 6 (v) 6 (vi) G Y B 1 R 6 (vii) Front of tower Back of tower Front of tower Back of tower B B R R Y Y G G OCR 2015

14 14 BLANK PAGE PLEASE DO NOT WRITE ON THIS PAGE OCR 2015

15 15 BLANK PAGE PLEASE DO NOT WRITE ON THIS PAGE OCR 2015

16 16 PLEASE DO NOT WRITE ON THIS PAGE Oxford Cambridge and RSA 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 CB2 1GE. 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 2015

17 Tuesday 10 June 2014 Morning AS GCE MATHEMATICS 4736/01 Decision Mathematics 1 PRINTED ANSWER BOOK * * Candidates answer on this Printed Answer Book. OCR supplied materials: Question Paper 4736/01 (inserted) List of Formulae (MF1) Other materials required: Scientific or graphical calculator Duration: 1 hour 30 minutes * * INSTRUCTIONS TO CANDIDATES These instructions are the same on the Printed Answer Book and the Question Paper. The Question Paper will be found inside the Printed Answer Book. Write your name, centre number and candidate number in the spaces provided on the Printed Answer Book. Please write clearly and in capital letters. Write your answer to each question in the space provided in the Printed Answer Book. Additional paper may be used if necessary but you must clearly show your candidate number, centre number and question number(s). Use black ink. HB pencil may be used for graphs and diagrams only. Answer all the questions. Read each question carefully. Make sure you know what you have to do before starting your answer. Do not write in the bar codes. You are permitted to use a scientific or graphical calculator in this paper. Give non-exact numerical answers correct to 3 significant figures unless a different degree of accuracy is specified in the question or is clearly appropriate. INFORMATION FOR CANDIDATES This information is the same on the Printed Answer Book and the Question Paper. The number of marks is given in brackets [ ] at the end of each question or part question on the Question Paper. You are reminded of the need for clear presentation in your answers. The total number of marks for this paper is 72. The Printed Answer Book consists of 12 pages. The Question Paper consists of 8 pages. Any blank pages are indicated. OCR 2014 [M/102/2697] DC (NF/SW) 80664/3 OCR is an exempt Charity Turn over

18 2 1 (i) (ii) 1 (iii) OCR 2014

19 3 2 (i) (a) 2 (i) (b) 2 (ii) OCR 2014 Turn over

20 4 3 (i) Line N C X Y Print OCR 2014

21 5 3 (ii) Line N C X Y Print (iii) 3 (iv) OCR 2014 Turn over

22 6 4 (i) A spare copy of this diagram can be found on page 12. Key: order of becoming permanent permanent label temporary labels Do not cross out your working values (temporary labels) B 1 E A 1 C 4 F 3 H D 4 G Shortest distances from A (in metres) B C D E F G H OCR 2014

23 7 4 (ii) 4 (iii) 4 (iv) OCR 2014 Turn over

24 8 5 (i) (a) 5 (i) (b) 5 (ii) A spare copy of this diagram can be found on page 12. B 1 E A 1 C 4 F 3 H D 4 G OCR 2014

25 9 5 (iii) (a) 5 (iii) (b) 5 (iv) 5 (v) 5 (vi) OCR 2014 Turn over

26 10 6 (i) 6 (ii) 6 (iii) 6 (iv) PLEASE DO NOT WRITE IN THIS SPACE OCR 2014

27 11 6 (v) Initial tableau P a b c s t u v RHS row row row row row 5 After one iteration P a b c s t u v RHS row 1ʹ row 2ʹ row 3ʹ row 4ʹ row 5ʹ row 1ʹ = row 2ʹ = row 3ʹ = row 4ʹ = row 5ʹ = 6 (vi) 6 (vii) 6 (viii) OCR 2014 Turn over

28 12 4 (i) Spare copy of diagram for question 4(i) Key: order of permanent label becoming permanent temporary labels Do not cross out your working values (temporary labels) B 1 E A 1 C 4 F 3 H D 4 G 5 (ii) Spare copy of diagram for question 5(ii) B 1 E A 1 C 4 F 3 H D 4 G 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 CB2 1GE. 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 2014

29 Friday 25 January 2013 Afternoon AS GCE MATHEMATICS 4736/01 Decision Mathematics 1 PRINTED ANSWER BOOK * * Candidates answer on this Printed Answer Book. OCR supplied materials: Question Paper 4736/01 (inserted) List of Formulae (MF1) Other materials required: Scientific or graphical calculator Duration: 1 hour 30 minutes * * INSTRUCTIONS TO CANDIDATES These instructions are the same on the Printed Answer Book and the Question Paper. The Question Paper will be found in the centre of the Printed Answer Book. Write your name, centre number and candidate number in the spaces provided on the Printed Answer Book. Please write clearly and in capital letters. Write your answer to each question in the space provided in the Printed Answer Book. Additional paper may be used if necessary but you must clearly show your candidate number, centre number and question number(s). Use black ink. HB pencil may be used for graphs and diagrams only. Answer all the questions. Read each question carefully. Make sure you know what you have to do before starting your answer. Do not write in the bar codes. You are permitted to use a scientific or graphical calculator in this paper. Give non-exact numerical answers correct to 3 significant figures unless a different degree of accuracy is specified in the question or is clearly appropriate. INFORMATION FOR CANDIDATES This information is the same on the Printed Answer Book and the Question Paper. The number of marks is given in brackets [ ] at the end of each question or part question on the Question Paper. You are reminded of the need for clear presentation in your answers. The total number of marks for this paper is 72. The Printed Answer Book consists of 12 pages. The Question Paper consists of 8 pages. Any blank pages are indicated. OCR 2013 [M/102/2697] DC (KN/SW) 64519/2 OCR is an exempt Charity Turn over

30 2 BLANK PAGE PLEASE DO NOT WRITE ON THIS PAGE OCR 2013

31 3 1 (i) Comps Swaps 1st pass nd pass rd pass th pass th pass th pass th pass th pass (ii) 1 (iii) Box 1: Box 2: Box 3: Box 4: OCR 2013 Turn over

32 4 2 (i) (A) (B) (C) (D) 2 (ii)(1) 2 (ii)(2) 2 (ii)(3) OCR 2013

33 5 2 (ii)(4) 2 (ii)(5) 2 (ii)(6) 2 (iii)(a) 2 (iii)(b) 2 (iv) OCR 2013 Turn over

34 6 3 (i) Key: Order of becoming permanent Permanent label Temporary labels Do not cross out your working values (temporary labels) A 13 C 14 E 14 G B 14 D 15 F 12 H OCR 2013

35 7 3 (ii) 3 (iii) OCR 2013 Turn over

36 8 4 (i) Total weight: Pam Alan Bob Caz Dan Ella Fred Gita Pam Alan Bob Caz Dan Ella Fred Gita (ii) Pam Alan Bob Caz Dan Ella Fred Gita Pam Alan Bob Caz Dan Ella Fred Gita A B C D P E F G Total weight... OCR 2013

37 9 4 (iii) Pam Alan Bob Caz Dan Ella Fred Gita Pam Alan Bob Caz Dan Ella Fred Gita (iv) OCR 2013 Turn over

38 10 5 (i) 5 (ii) 5 (iii) 5 (iv) OCR 2013

39 11 5 (v) OCR 2013 Turn over

40 12 5 (vi) 5 (vii) OCR 2013 Contact the Copyright Team, First Floor, 9 Hills Road, Cambridge CB2 1GE. 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 2013

41 Thursday 24 May 2012 Morning AS GCE MATHEMATICS 4736 Decision Mathematics 1 PRINTED ANSWER BOOK * * Candidates answer on this Printed Answer Book. OCR supplied materials: Question Paper 4736 (inserted) List of Formulae (MF1) Other materials required: Scientific or graphical calculator Duration: 1 hour 30 minutes * * INSTRUCTIONS TO CANDIDATES These instructions are the same on the Printed Answer Book and the Question Paper. The Question Paper will be found in the centre of the Printed Answer Book. Write your name, centre number and candidate number in the spaces provided on the Printed Answer Book. Please write clearly and in capital letters. Write your answer to each question in the space provided in the Printed Answer Book. Additional paper may be used if necessary but you must clearly show your candidate number, centre number and question number(s). Use black ink. HB pencil may be used for graphs and diagrams only. Answer all the questions. Read each question carefully. Make sure you know what you have to do before starting your answer. Do not write in the bar codes. You are permitted to use a scientific or graphical calculator in this paper. Give non-exact numerical answers correct to 3 significant figures unless a different degree of accuracy is specified in the question or is clearly appropriate. INFORMATION FOR CANDIDATES This information is the same on the Printed Answer Book and the Question Paper. The number of marks is given in brackets [ ] at the end of each question or part question on the Question Paper. You are reminded of the need for clear presentation in your answers. The total number of marks for this paper is 72. The Printed Answer Book consists of 12 pages. The Question Paper consists of 8 pages. Any blank pages are indicated. OCR 2012 [M/102/2697] DC (NH/CGW) 51123/1 OCR is an exempt Charity Turn over

42 2 BLANK PAGE PLEASE DO NOT WRITE ON THIS PAGE OCR 2012

43 3 1 (i)(ii) 1 0 A B C D E F Key: order of becoming permanent permanent label temporary labels do not cross out your working values (temporary labels) 1 (iii) OCR 2012 Turn over

44 4 2 (i)(a) 2 (i)(b) 2 (i)(c) OCR 2012

45 5 2 (ii)(a) C1 D2 C2 D1 C3 S2 C4 S1 M1 M2 2 (ii)(b) 2 (ii)(c) OCR 2012 Turn over

46 6 3 (i) 3 (ii) OCR 2012

47 7 3 (iii) 3 (iv) OCR 2012 Turn over

48 8 4 (i) 4 (ii) 4 (iii) OCR 2012

49 9 4 (iv) 4 (v) 4 (vi) OCR 2012 Turn over

50 10 5 (i) 5 (ii) 5 (iii) OCR 2012

51 11 5 (iv) NP = 40 SV = 80 RS = 130 RT = 40 TV = 90 MV = 140 RV = 50 PR = 100 PT = 140 MS = 60 MP = 110 NT = 170 MN = 70 PV = 120 ST = 170 PS = 80 NS = 120 MR = 190 NV = 80 NR = 130 MT = (v) OCR 2012 Turn over

52 12 6 (i) 6 (ii) 6 (iii) 6 (iv) OCR 2012 Contact the Copyright Team, First Floor, 9 Hills Road, Cambridge CB2 1GE. 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 2012

53 ADVANCED SUBSIDIARY GCE MATHEMATICS 4736 Decision Mathematics 1 PRINTED ANSWER BOOK Candidates answer on this printed answer book. OCR supplied materials: Question paper 4736 (inserted) List of Formulae (MF1) Other materials required: Scientific or graphical calculator Thursday 26 May 2011 Morning Duration: 1 hour 30 minutes * * * * Candidate forename Candidate surname Centre number Candidate number INSTRUCTIONS TO CANDIDATES These instructions are the same on the printed answer book and the question paper. The question paper will be found in the centre of the printed answer book. Write your name, centre number and candidate number in the spaces provided on the printed answer book. Please write clearly and in capital letters. Write your answer to each question in the space provided in the printed answer book. Additional paper may be used if necessary but you must clearly show your candidate number, centre number and question number(s). 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. Give non-exact numerical answers correct to 3 significant figures unless a different degree of accuracy is specified in the question or is clearly appropriate. INFORMATION FOR CANDIDATES This information is the same on the printed answer book and the question paper. The number of marks is given in brackets [ ] at the end of each question or part question on the question paper. You are reminded of the need for clear presentation in your answers. The total number of marks for this paper is 72. The printed answer book consists of 12 pages. The question paper consists of 8 pages. Any blank pages are indicated. OCR 2011 [M/102/2697] OCR is an exempt Charity 2R 1A15 Turn over

54 2 1 (i) 1 (ii) 1(iii)(a) 1(iii)(b) OCR 2011

55 3 2 (i) 2 (ii) 2 (iii) OCR 2011 Turn over

56 4 2 (iv) 2 (v) OCR 2011

57 5 3 (i) 3 (ii) 3 (iii) 3 (iv) OCR 2011 Turn over

58 6 3 (v) 4 (i) OCR 2011

59 7 4 (ii) 4 (iii) OCR 2011 Turn over

60 8 5 (i) Key: Order of becoming permanent Permanent label Temporary labels Do not cross out your working values (temporary labels) 3.2 C A 0.9 B 5.0 D 2.5 F 1.0 G E (ii) OCR 2011

61 9 5(iii)(a) 5(iii)(b) 5 (iv) 6 (i) OCR 2011 Turn over

62 10 6 (ii) 6(iii)(a) C A 0.9 B x D 2.5 F 1.0 G E 6.0 6(iii)(b) OCR 2011

63 11 6(iv)(a) C A 0.9 B x D 2.5 F 1.0 G E 6.0 6(iv)(b) OCR 2011

64 12 PLEASE DO NOT WRITE ON THIS PAGE 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 CB2 1GE. 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 2011

65 ADVANCED SUBSIDIARY GCE MATHEMATICS 4736 Decision Mathematics 1 PRINTED ANSWER BOOK Candidates answer on this Printed Answer Book OCR Supplied Materials: Question Paper 4736 (inserted) List of Formulae (MF1) Other Materials Required: Scientific or graphical calculator Tuesday 22 June 2010 Afternoon Duration: 1 hour 30 minutes * * * * Candidate Forename Candidate Surname Centre Number Candidate Number INSTRUCTIONS TO CANDIDATES These instructions are the same on the Printed Answer Book and the Question Paper. Write your name clearly in capital letters, your Centre Number and Candidate Number in the spaces provided on the Printed Answer Book. The questions are on the inserted Question Paper. Write your answer to each question in the space provided in the Printed Answer Book. Additional paper may be used if necessary but you must clearly show your Candidate Number, Centre Number and question number(s). 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. Give non-exact numerical answers correct to 3 significant figures unless a different degree of accuracy is specified in the question or is clearly appropriate. INFORMATION FOR CANDIDATES This information is the same on the Printed Answer Book and the Question Paper. The number of marks is given in brackets [ ] at the end of each question or part question on the Question Paper. You are reminded of the need for clear presentation in your answers. The total number of marks for this paper is 72. The Printed Answer Book consists of 12 pages. The Question Paper consists of 8 pages. Any blank pages are indicated. OCR 2010 [M/102/2697] OCR is an exempt Charity 2R 0B10 Turn over

66 2 1 (i) (a) 1 (i) (b) 1 (i) (c) OCR 2010

67 3 1 (ii) 1 (iii) 1 (iv) OCR 2010 Turn over

68 4 2 (i) 2 (ii) 2 (iii) OCR 2010

69 5 2 (iv) (a) 2 (iv) (b) OCR 2010 Turn over

70 6 3 (i) 3 (ii) 3 (iii) 3 (iv) OCR 2010

71 7 4 (i) Key: Order of becoming permanent Permanent label Temporary labels Do not cross out your working values (temporary labels) E A 0.5 B 0.1 D 0.2 F C G There is a spare copy of the network below. E A 0.5 B 0.1 D 0.2 F C G OCR 2010 Turn over

72 8 4 (ii) 4 (iii) OCR 2010

73 9 4 (iv) B C D F G B C D F G (v) B C D F B C D F B D F C OCR 2010 Turn over

74 10 5 (i) 5 (ii) OCR 2010

75 11 5 (ii) (continued) 5 (iii) OCR 2010