Pearson Edexcel Level 3 GCE Mathematics Advanced PAPER 1: Pure Mathematics 1 JUNE 2025
Combined Question Paper and Mark Scheme
Please check the examination details below before entering your candidate information
surname names
Number Number
Paper
reference
Mathematics
Advanced
PAPER 1: Pure Mathematics 1
You must have:
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fillcentre
in the boxesand
number candidate
at the number.
top of this page with your name,
Answer all questions and ensure that your answers to parts of questions are
• clearly labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• working may notsufficient
You should show working to make your methods clear. Answers without
gain full credit.
• Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
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
,
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 4 marks)
3
Turn over
, 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
Combined Question Paper and Mark Scheme
Please check the examination details below before entering your candidate information
surname names
Number Number
Paper
reference
Mathematics
Advanced
PAPER 1: Pure Mathematics 1
You must have:
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fillcentre
in the boxesand
number candidate
at the number.
top of this page with your name,
Answer all questions and ensure that your answers to parts of questions are
• clearly labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• working may notsufficient
You should show working to make your methods clear. Answers without
gain full credit.
• Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
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
,
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 4 marks)
3
Turn over
, 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
