Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
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
v
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
•Information
Answers without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The
are 8 questions in this question paper. The total mark for this paper is 75.
marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Check your answers if you have time at the end.
Try to answer every question.
Turn over
/
,1. f(z) = z4 6z3 az2 bz 145
where a and b are real constants.
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)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
�
��
�
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
�
��
�
Question 1 continued
Turn over
3
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
�
��
�
Question 1 continued
4
Candidate surname Other names
Centre Number Candidate Number
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
v
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
•Information
Answers without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The
are 8 questions in this question paper. The total mark for this paper is 75.
marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Check your answers if you have time at the end.
Try to answer every question.
Turn over
/
,1. f(z) = z4 6z3 az2 bz 145
where a and b are real constants.
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)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
�
��
�
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
�
��
�
Question 1 continued
Turn over
3
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
�
��
�
Question 1 continued
4
