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
2024 PEARSON EDEXCEL GCE FURTHER MATHEMATICS 9FMO/01 PAPER 1 MERGED
QUESTION PAPER AND MARKING SCHEME
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.
– use this asfor
marks each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
• Read
Advice 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/
,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
3
Turn over
, 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
2024 PEARSON EDEXCEL GCE FURTHER MATHEMATICS 9FMO/01 PAPER 1 MERGED
QUESTION PAPER AND MARKING SCHEME
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.
– use this asfor
marks each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
• Read
Advice 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/
,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
3
Turn over
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
■■■■
Question 1 continued
4
