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Examen

Edexcel A Level Further Mathematics May-June 2024 Question Paper 1 (9fm0-01)

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Edexcel A Level Further Mathematics May-June 2024 Question Paper 1 (9fm0-01)

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Pearson Edexcel Level 3 GCE
Wednesday 22 May 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/01
Further Mathematics
 


Advanced
PAPER 1: Core Pure Mathematics 1

You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator



Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for algebraic 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).
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• clearly
Answer all questions and ensure that your answers to parts of questions are
labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• Answers without working
You should show sufficient working to make your methods clear.
may not gain full credit.
•Information
Inexact answers should be given to three significant figures unless otherwise stated.

•• 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


P75682A
©2024 Pearson Education Ltd.
F:1/1/1/
*P75682A0132*

,1. f(z) = z 4  6 z 3
az 2
bz
145
where a and b are real constants. tyrionpapers.com




DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Given that 2 + 5i is a root of the equation f(z) = 0
(a) determine the other roots of the equation f(z) = 0
(7)
(b) Show all the roots of f(z) = 0 on a single Argand diagram.
(2)
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*P75682A0232* 

, Question 1 continued
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DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA




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