Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Monday 24 June 2024
Afternoon (Time: 1 hour 30 minutes)
Further Mathematics
Paper
reference 9FM0/4A 🞍 🞍
Advanced
PAPER 4A: Further Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 4A: Further Pure Mathematics 2 QP
JUNE 2024
Candidates may use any calculator allowed 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
••• IfFillpencil
Use black ink or ball‑point pen.
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, centre number and
• Answer
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.
• Inexact answers should be given to three significant figures unless otherwise stated.
Answers without working may not gain full credit.
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.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. Turn over
,1. In this question you must show detailed reasoning.
Use Fermat’s Little Theorem to determine the least positive residue of
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2180 (mod 23)
(4)
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2
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Question 1 continued
(Total for Question 1 is 4 marks)
Turn over
3
, 2. Determine a closed form for the recurrence system
u1 4 u2 6
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un 2 6un1 9un (n 1, 2, 3,)
(5)
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4
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