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
reference 9FM0/01
Further Mathematics
Advanced
PAPER 1: Core Pure Mathematics 1
Total Marks
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
Answer the questions in the spaces 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.
• There are 8 questions in this question paper. The total mark for this paper is 75. – 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.
• Check your answers if you have time at the end. Turn over
,1. f(z) = z4 6z3 az2 bz
145
where a and b are real constants.
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)
2 ■■■■
,Question 1 continued
3
Turn over
■■■■
, Question 1 continued
4
■■■■
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Wednesday 22 May 2024
reference 9FM0/01
Further Mathematics
Advanced
PAPER 1: Core Pure Mathematics 1
Total Marks
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
Answer the questions in the spaces 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.
• There are 8 questions in this question paper. The total mark for this paper is 75. – 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.
• Check your answers if you have time at the end. Turn over
,1. f(z) = z4 6z3 az2 bz
145
where a and b are real constants.
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)
2 ■■■■
,Question 1 continued
3
Turn over
■■■■
, Question 1 continued
4
■■■■
