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Pearson Edexcel Level 3 GCE
Wednesday 19 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/3A
Further Mathematics
Advanced
PAPER 3A: Further Pure Mathematics 1
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebraic manipulation, differentiation and
integration, or have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
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.
Information
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 10 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.
Advice
•• Read 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
P75686RA
©2024 Pearson Education Ltd.
F:1/1/1/1/1/1/
*P75686RA0132*
,1. (a) Given that
y ln 3
x 2
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
complete the table with the value of y corresponding to x = 3, giving your answer to
4 significant figures.
x 2 2.5 3 3.5 4 4.5 5
y 1.946 2.225 2.725 2.944 3.146 3.332
(1)
In part (b) you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
(b) Use Simpson’s rule with all the values of y in the completed table to estimate, to 3
significant figures, the value of
5
ln 3 x 2 d x
2
(3)
(c) Using your answer to part (b) and making your method clear, estimate the value of
ln
3 x
dx
5
2
2
(1)
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2
*P75686RA0232*
, 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 5 marks)
3
*P75686RA0332* 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
Wednesday 19 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/3A
Further Mathematics
Advanced
PAPER 3A: Further Pure Mathematics 1
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebraic manipulation, differentiation and
integration, or have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
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.
Information
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 10 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.
Advice
•• Read 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
P75686RA
©2024 Pearson Education Ltd.
F:1/1/1/1/1/1/
*P75686RA0132*
,1. (a) Given that
y ln 3
x 2
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
complete the table with the value of y corresponding to x = 3, giving your answer to
4 significant figures.
x 2 2.5 3 3.5 4 4.5 5
y 1.946 2.225 2.725 2.944 3.146 3.332
(1)
In part (b) you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
(b) Use Simpson’s rule with all the values of y in the completed table to estimate, to 3
significant figures, the value of
5
ln 3 x 2 d x
2
(3)
(c) Using your answer to part (b) and making your method clear, estimate the value of
ln
3 x
dx
5
2
2
(1)
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_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P75686RA0232*
, 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 5 marks)
3
*P75686RA0332* Turn over
