Exam (elaborations)
EDEXCEL A LEVEL FURTHER MATHS 2022 PAPER 4D
- Module
- 2022 papers and markschemes
- Institution
- PEARSON (PEARSON)
EDEXCEL A LEVEL FURTHER MATHS 2022 PAPER 4D
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Edexcel A Level 2022 papers andmarkschemes
from tyrionpapers.com
Turn over
, Pearson Edexcel Level 3 GCE
Time 1 hour 30 minutes
Paper
reference 9FM0/4D
Further Mathematics
Advanced
PAPER 4D: Decision Mathematics 2
You must have:
Mathematical Formulae and Statistical Tables (Green), calculator,
Decision Mathematics Answer Book (enclosed)
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Write your answers for this paper in the Decision Mathematics answer book
provided.
• Fill in the boxes at the top of the answer book with your name,
centre number and candidate number.
•• Do not return the question paper with the answer book.
Answer all questions and ensure that your answers to parts of questions are clearly
labelled.
• Answer the questions in the answer book provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear. Answers without
working may not gain full credit.
• Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 8 questions in this question paper. The total mark for this paper is 75.
• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
• Check your answers if you have time at the end. Turn over
*P72118A*
P72118A
©2022 Pearson Education Ltd.
1/1/1/
, 1. Four workers, A, B, C and D, are to be assigned to four tasks, 1, 2, 3 and 4. Each task
must be assigned to just one worker and each worker must do only one task.
The cost of assigning each worker to each task is shown in the table below.
The total cost is to be minimised.
1 2 3 4
A 32 45 34 48
B 37 39 50 46
C 46 44 40 42
D 43 45 48 52
(a) Reducing rows first, use the Hungarian algorithm to obtain an allocation that
minimises the total cost. You must make your method clear and show the table after
each stage.
(5)
(b) State the minimum total cost.
(1)
(Total for Question 1 is 6 marks)
2. The general solution of the second order recurrence relation
un + 2 + k1un + 1 + k2un = 0 n0
is given by
un = (A + Bn)(–3)n
where A and B are arbitrary non‑zero constants.
(a) Find the value of k1 and the value of k2
(2)
Given that u0 = u1 = 1
(b) find the value of A and the value of B.
(2)
(Total for Question 2 is 4 marks)
2 P72118A
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