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Pearson Edexcel Level 3 GCE
Monday 24 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/4A
Further Mathematics
Advanced
PAPER 4A: Further Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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
•• 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, centre number and
• clearly
candidate number.
Answer all questions and ensure that your answers to parts of questions are
• Answer
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.
• – use this asfora guide
are 8 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P72800A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/
*P72800A0132*
,1. In this question you must show detailed reasoning.
Use Fermat’s Little Theorem to determine the least positive residue of
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
2180 (mod 23)
(4)
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2
*P72800A0232*
, Question 1 continued
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tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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(Total for Question 1 is 4 marks)
3
*P72800A0332* Turn over
Scroll below to see the sample of the paper
O2ered to you by Tyrion Papers
https://tyrionpapers.com
If you have any issues or queries, do reach out to
I’ll help you out for sure
We have locked papers, Predicted Papers, Topic tests, Notes,
question banks and so much more
, Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
tyrionpapers.com
Pearson Edexcel Level 3 GCE
Monday 24 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/4A
Further Mathematics
Advanced
PAPER 4A: Further Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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
•• 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, centre number and
• clearly
candidate number.
Answer all questions and ensure that your answers to parts of questions are
• Answer
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.
• – use this asfora guide
are 8 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P72800A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/
*P72800A0132*
,1. In this question you must show detailed reasoning.
Use Fermat’s Little Theorem to determine the least positive residue of
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
2180 (mod 23)
(4)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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2
*P72800A0232*
, Question 1 continued
_____________________________________________________________________________________
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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(Total for Question 1 is 4 marks)
3
*P72800A0332* Turn over