Oxford Cambridge and RSA Friday 5 June 2015 Morning AS GCE MATHEMATICS 4736/01 Decision Mathematics 1 PRINTED ANSWER BOOK *3248819538* 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 * 4 7 3 6 0 1 * 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 1 (i) 15 7 9 26 10 4 List at end of first pass: Comparisons = Swaps = 1 (ii) 7 9 4 10 15 26 List at end of fourth pass: Comparisons = Swaps = 1 (iii) OCR 2015
3 1 (iv) 15 7 9 26 10 4 List at end of first pass: Comparisons = Swaps = 1 (v) 7 9 15 26 10 4 List at end of fourth pass: Comparisons = Swaps = 1 (vi) Comparisons = Swaps = 1 (vii) OCR 2015 Turn over
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 2 (iii) 2 (iv) A B C D E F G H A 10 9 10 B 10 8 5 C 8 9 10 D 9 5 9 6 7 8 E 10 6 9 7 F 10 7 5 G 8 9 5 8 H 7 8 OCR 2015 Turn over
6 3 (i) 3 (ii) 3 (iii) OCR 2015
7 3 (iv) DO NOT WRITE IN THIS SPACE OCR 2015 Turn over
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 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 5 (i) A 200 B F 200 H 150 150 Do not cross out your temporary labels Key: 500 Permanent label 200 C D 150 200 80 100 E G 270 Order of becoming permanent Temporary labels 5 (ii) 5 (iii) OCR 2015
11 5 (iv) 5 (v) A 200 B F 200 H 150 150 500 200 D 150 200 270 80 100 C E G OCR 2015 Turn over
12 6 (i) Cube 2 G Y B R 6 (ii) 6 (iii) Cube 4 G Y B R 6 (iv) G 1 3 1 Y 3 B 1 3 R OCR 2015
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 BLANK PAGE PLEASE DO NOT WRITE ON THIS PAGE OCR 2015
15 BLANK PAGE PLEASE DO NOT WRITE ON THIS PAGE OCR 2015
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 (www.ocr.org.uk) 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
Tuesday 10 June 2014 Morning AS GCE MATHEMATICS 4736/01 Decision Mathematics 1 PRINTED ANSWER BOOK *3133658409* 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 * 4 7 3 6 0 1 * 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
2 1 (i) 120 120 120 100 150 200 250 150 200 250 120 1 (ii) 1 (iii) OCR 2014
3 2 (i) (a) 2 (i) (b) 2 (ii) OCR 2014 Turn over
4 3 (i) Line N C X Y Print 10 20 40 OCR 2014
5 3 (ii) Line N C X Y Print 10 20 40 3 (iii) 3 (iv) OCR 2014 Turn over
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 3 1 3 1 A 1 C 4 F 3 H 8 5 5 2 1 D 4 G Shortest distances from A (in metres) B C D E F G H OCR 2014
7 4 (ii) 4 (iii) 4 (iv) OCR 2014 Turn over
8 5 (i) (a) 5 (i) (b) 5 (ii) A spare copy of this diagram can be found on page 12. B 1 E 3 1 3 1 A 1 C 4 F 3 H 8 5 5 2 1 D 4 G OCR 2014
9 5 (iii) (a) 5 (iii) (b) 5 (iv) 5 (v) 5 (vi) OCR 2014 Turn over
10 6 (i) 6 (ii) 6 (iii) 6 (iv) PLEASE DO NOT WRITE IN THIS SPACE OCR 2014
11 6 (v) Initial tableau P a b c s t u v RHS 1 8 7 4 0 0 0 0 0 row 1 0 10 8 5 1 0 0 0 400 row 2 0 0 2 5 0 1 0 0 70 row 3 0 2 4 1 0 0 1 0 176 row 4 0 5 1 3 0 0 0 1 80 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
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 3 1 3 1 A 1 C 4 F 3 H 8 5 5 2 1 D 4 G 5 (ii) Spare copy of diagram for question 5(ii) B 1 E 3 1 3 1 A 1 C 4 F 3 H 8 5 5 2 1 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 (www.ocr.org.uk) 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
Friday 25 January 2013 Afternoon AS GCE MATHEMATICS 4736/01 Decision Mathematics 1 PRINTED ANSWER BOOK *4733920113* 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 * 4 7 3 6 0 1 * 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
2 BLANK PAGE PLEASE DO NOT WRITE ON THIS PAGE OCR 2013
3 1 (i) Comps Swaps 1st pass......... 2nd pass......... 3rd pass......... 4th pass......... 5th pass......... 6th pass......... 7th pass......... 8th pass......... 1 (ii) 1 (iii) Box 1: Box 2: Box 3: Box 4: OCR 2013 Turn over
4 2 (i) (A) (B) (C) (D) 2 (ii)(1) 2 (ii)(2) 2 (ii)(3) OCR 2013
5 2 (ii)(4) 2 (ii)(5) 2 (ii)(6) 2 (iii)(a) 2 (iii)(b) 2 (iv) OCR 2013 Turn over
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 31 11 18 15 19 13 16 13 12 B 14 D 15 F 12 H OCR 2013
7 3 (ii) 3 (iii) OCR 2013 Turn over
8 4 (i) Total weight: Pam Alan Bob Caz Dan Ella Fred Gita Pam 10 4 8 18 12 12 9 Alan 10 6 10 18 12 11 9 Bob 4 6 9 17 10 11 10 Caz 8 10 9 15 13 10 7 Dan 18 18 17 15 16 19 20 Ella 12 12 10 13 16 13 14 Fred 12 11 11 10 19 13 18 Gita 9 9 10 7 20 14 18 4 (ii) Pam Alan Bob Caz Dan Ella Fred Gita Pam 10 4 8 18 12 12 9 Alan 10 6 10 18 12 11 9 Bob 4 6 9 17 10 11 10 Caz 8 10 9 15 13 10 7 Dan 18 18 17 15 16 19 20 Ella 12 12 10 13 16 13 14 Fred 12 11 11 10 19 13 18 Gita 9 9 10 7 20 14 18 A B C D P E F G Total weight... OCR 2013
9 4 (iii) Pam Alan Bob Caz Dan Ella Fred Gita Pam 10 4 8 18 12 12 9 Alan 10 6 10 18 12 11 9 Bob 4 6 9 17 10 11 10 Caz 8 10 9 15 13 10 7 Dan 18 18 17 15 16 19 20 Ella 12 12 10 13 16 13 14 Fred 12 11 11 10 19 13 18 Gita 9 9 10 7 20 14 18 4 (iv) OCR 2013 Turn over
10 5 (i) 5 (ii) 5 (iii) 5 (iv) OCR 2013
11 5 (v) OCR 2013 Turn over
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
Thursday 24 May 2012 Morning AS GCE MATHEMATICS 4736 Decision Mathematics 1 PRINTED ANSWER BOOK *4715590612* 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 * 4 7 3 6 * 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
2 BLANK PAGE PLEASE DO NOT WRITE ON THIS PAGE OCR 2012
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
4 2 (i)(a) 2 (i)(b) 2 (i)(c) OCR 2012
5 2 (ii)(a) C1 D2 C2 D1 C3 S2 C4 S1 M1 M2 2 (ii)(b) 2 (ii)(c) OCR 2012 Turn over
6 3 (i) 3 (ii) OCR 2012
7 3 (iii) 3 (iv) OCR 2012 Turn over
8 4 (i) 4 (ii) 4 (iii) OCR 2012
9 4 (iv) 4 (v) 4 (vi) OCR 2012 Turn over
10 5 (i) 5 (ii) 5 (iii) OCR 2012
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 = 190 5 (v) OCR 2012 Turn over
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
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 * * 4 4 7 7 3 3 6 6 * * 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
2 1 (i) 1 (ii) 1(iii)(a) 1(iii)(b) OCR 2011
3 2 (i) 2 (ii) 2 (iii) OCR 2011 Turn over
4 2 (iv) 2 (v) OCR 2011
5 3 (i) 3 (ii) 3 (iii) 3 (iv) OCR 2011 Turn over
6 3 (v) 4 (i) OCR 2011
7 4 (ii) 4 (iii) OCR 2011 Turn over
8 5 (i) Key: Order of becoming permanent Permanent label Temporary labels Do not cross out your working values (temporary labels) 3.2 C 4.6 1 0 1.4 A 0.9 B 5.0 D 2.5 F 1.0 G 1.8 5.3 E 6.0 5 (ii) OCR 2011
9 5(iii)(a) 5(iii)(b) 5 (iv) 6 (i) OCR 2011 Turn over
10 6 (ii) 6(iii)(a) C 3.2 4.6 1.4 A 0.9 B x D 2.5 F 1.0 G 1.8 5.3 E 6.0 6(iii)(b) OCR 2011
11 6(iv)(a) C 3.2 4.6 1.4 A 0.9 B x D 2.5 F 1.0 G 1.8 5.3 E 6.0 6(iv)(b) OCR 2011
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 (www.ocr.org.uk) 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
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 * * 4 4 7 7 3 3 6 6 * * 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
2 1 (i) (a) 1 (i) (b) 1 (i) (c) OCR 2010
3 1 (ii) 1 (iii) 1 (iv) OCR 2010 Turn over
4 2 (i) 2 (ii) 2 (iii) OCR 2010
5 2 (iv) (a) 2 (iv) (b) OCR 2010 Turn over
6 3 (i) 3 (ii) 3 (iii) 3 (iv) OCR 2010
7 4 (i) Key: Order of becoming permanent Permanent label Temporary labels Do not cross out your working values (temporary labels) E 0.3 1 0 A 0.5 B 0.1 D 0.2 F 0.6 0.2 C 0.35 0.45 1.0 G There is a spare copy of the network below. E 0.3 1 0 A 0.5 B 0.1 D 0.2 F 0.6 0.2 C 0.35 0.45 1.0 G OCR 2010 Turn over
8 4 (ii) 4 (iii) OCR 2010
9 4 (iv) B C D F G B 0.2 0.1 0.3 0.75 C 0.2 0.3 0.5 0.95 D 0.1 0.3 0.2 0.65 F 0.3 0.5 0.2 0.45 G 0.75 0.95 0.65 0.45 4 (v) B C D F B 0.2 0.1 0.3 C 0.2 0.3 0.5 D 0.1 0.3 0.2 F 0.3 0.5 0.2 B D F C OCR 2010 Turn over
10 5 (i) 5 (ii) OCR 2010
11 5 (ii) (continued) 5 (iii) OCR 2010