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2024 Oxford Cambridge and RSA A Level Further Mathematics B (MEI) Y433/01 Modelling with Algorithms ACTUAL QUESTION PAPER WITH MERGED MARKING SCHEME $7.39
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OXFORD CAMBRDGE
AND RSA 2024
[Type the document subtitle]
OCR 2024
2024
[Type the company address]
, Oxford Cambridge and RSA
Monday 3 June 2024 – AfternoonA
Level Further Mathematics B (MEI) Y433/01
Modelling with Algorithms
Time allowed: 1 hour 15 minutes
You must have:
• the Printed Answer Booklet
• the Formulae Booklet for Further Mathematics B
QP
(MEI)
• a scientific or graphical calculator
INSTRUCTIONS
• Use black ink. You can use an HB pencil, but only for graphs and diagrams.
• Write your answer to each question in the space provided in the Printed Answer Booklet. If
you need extra space use the lined pages at the end of the Printed AnswerBooklet. The
question numbers must be clearly shown.
• Fill in the boxes on the front of the Printed Answer Booklet.
• Answer all the questions.
• Where appropriate, your answer should be supported with working. Marks might begiven
for using a correct method, even if your answer is wrong.
• Give your final answers to a degree of accuracy that is appropriate to the context.
• Do not send this Question Paper for marking. Keep it in the centre or recycle it.
INFORMATION
• The total mark for this paper is 60.
• The marks for each question are shown in brackets [ ].
• This document has 8 pages.
ADVICE
• Read each question carefully before you start your answer.
OCR is an exempt
,Charity
Turn over
, 2
1 The values below represent the weights of eleven suitcases, in kg.
23 15 17 10 35 18 12 21 22 11 8
(a) Show the result of applying the first fit algorithm to pack the weights into containers that
can hold a maximum of 50 kg. [2]
(b) Show the result of applying the first fit decreasing algorithm to pack the weights into
containers that can hold a maximum of 50 kg. [2]
(c) Give a reason why the number of containers used for the packing of the suitcases in part (b)
is optimal. [1]
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