2025 Pearson Edexcel Level 3 GCE Further Mathematics
Advanced
PAPER 1: Pure Mathematics 1 Combined Question Paper and Marking Scheme
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 4 June 2025
Afternoon (Time: 2 hours)
Paper
reference 9MA0/01
Mathematics
Advanced
PAPER 1: Pure Mathematics 1
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
•• IfUse black ink or ball-point pen.
pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fillcentre
in the boxesand
number at the top of this
candidate page with your name,
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
•• There
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 16 questions in this question paper. The total mark for this paper is 100.
• The
– usemarks
this asfor eachas
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
Advice
• Try
Read each question carefully before you start to answer it.
•• Checkto answer every question.
your answers if you have time at the end. Turn over
P73951A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/
,1. The point P(6, –4) lies on the curve with equation y = f(x), x R
Find the point to which P is mapped when the curve with equation y = f(x) is
DO NOT WRITE IN THIS AREA
transformed to the curve with equation
(a) y = f(x + 2)
(1)
(b) y = f –1(x)
(1)
(c) y = 2½f(x)½ – 3
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
(Total for Question 1 is 4 marks)
Turn over
3
, 2. The circle C has equation
(x + 3)2 + ( y – 4)2 = 24
DO NOT WRITE IN THIS AREA
(a) (i) State the coordinates of the centre of C.
(ii) Find the radius of C writing your answer as a fully simplified surd.
(3)
(b) Determine, giving a reason, whether or not the origin lies inside the circle C.
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
Advanced
PAPER 1: Pure Mathematics 1 Combined Question Paper and Marking Scheme
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 4 June 2025
Afternoon (Time: 2 hours)
Paper
reference 9MA0/01
Mathematics
Advanced
PAPER 1: Pure Mathematics 1
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
•• IfUse black ink or ball-point pen.
pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fillcentre
in the boxesand
number at the top of this
candidate page with your name,
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
•• There
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 16 questions in this question paper. The total mark for this paper is 100.
• The
– usemarks
this asfor eachas
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
Advice
• Try
Read each question carefully before you start to answer it.
•• Checkto answer every question.
your answers if you have time at the end. Turn over
P73951A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/
,1. The point P(6, –4) lies on the curve with equation y = f(x), x R
Find the point to which P is mapped when the curve with equation y = f(x) is
DO NOT WRITE IN THIS AREA
transformed to the curve with equation
(a) y = f(x + 2)
(1)
(b) y = f –1(x)
(1)
(c) y = 2½f(x)½ – 3
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
(Total for Question 1 is 4 marks)
Turn over
3
, 2. The circle C has equation
(x + 3)2 + ( y – 4)2 = 24
DO NOT WRITE IN THIS AREA
(a) (i) State the coordinates of the centre of C.
(ii) Find the radius of C writing your answer as a fully simplified surd.
(3)
(b) Determine, giving a reason, whether or not the origin lies inside the circle C.
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
