Paper 3a maths
Please check the examination details below before entering your
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Wednesday 18 June
reference9FM0/3
Pap
Afternoon (Time: 1 hour 30
2025
minutes) er
A
Further Mathematics
🟐 🟐
Advanced
PAPER 3A: Further Pure Mathematics 1
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
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
• 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
•
centre
pen. number and candidate number.
Answer all questions and ensure that your answers to parts of
•
questions
name, 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.
Informatio
n
• A booklet ‘Mathematical Formulae and Statistical Tables’
• There are 9 questions in this question paper. The total mark for
• The
this
marks for each question are shown in
paper is 75. – use this as a guide as to how much time to spend on
is provided.
each question.
brackets
Advice
• Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the end.
Turn over
question.
Paper 3a maths
,P76379A
©2025 Pearson Education Ltd.
Y:1/1/1/1/
,1. (a) Given that
2
cosec x
AREA
DO NOT WRITE IN THIS
y=e
complete the table below with the value of y corresponding to x = 2, giving your
answer to 2 decimal places.
x 1.5 1.75 2 2.25 2.5
y 2.73 2.81 5.22 16.31
(1)
(b) Use Simpson’s rule, with all the values of y in the completed table, to estimate, to
one decimal place, the value of
2.5 2
1.5 cosec x
e dx
(3)
AREA
DO NOT WRITE IN THIS
(c) Using your answer to part (b) and making your method clear, estimate the value of
2.5 2
1.5 cot x
e dx
(2)
AREA
DO NOT WRITE IN THIS
2
■■■
■
, Question 1 continued
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
AREA
(Total for Question 1 is 6 marks)
3
■■■ Turn
■ over
Please check the examination details below before entering your
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Wednesday 18 June
reference9FM0/3
Pap
Afternoon (Time: 1 hour 30
2025
minutes) er
A
Further Mathematics
🟐 🟐
Advanced
PAPER 3A: Further Pure Mathematics 1
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
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
• 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
•
centre
pen. number and candidate number.
Answer all questions and ensure that your answers to parts of
•
questions
name, 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.
Informatio
n
• A booklet ‘Mathematical Formulae and Statistical Tables’
• There are 9 questions in this question paper. The total mark for
• The
this
marks for each question are shown in
paper is 75. – use this as a guide as to how much time to spend on
is provided.
each question.
brackets
Advice
• Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the end.
Turn over
question.
Paper 3a maths
,P76379A
©2025 Pearson Education Ltd.
Y:1/1/1/1/
,1. (a) Given that
2
cosec x
AREA
DO NOT WRITE IN THIS
y=e
complete the table below with the value of y corresponding to x = 2, giving your
answer to 2 decimal places.
x 1.5 1.75 2 2.25 2.5
y 2.73 2.81 5.22 16.31
(1)
(b) Use Simpson’s rule, with all the values of y in the completed table, to estimate, to
one decimal place, the value of
2.5 2
1.5 cosec x
e dx
(3)
AREA
DO NOT WRITE IN THIS
(c) Using your answer to part (b) and making your method clear, estimate the value of
2.5 2
1.5 cot x
e dx
(2)
AREA
DO NOT WRITE IN THIS
2
■■■
■
, Question 1 continued
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
AREA
(Total for Question 1 is 6 marks)
3
■■■ Turn
■ over
