surname names
Number Number
Mathematics
🟐 🟐
Advanced
PAPER 1: Pure Mathematics 1
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).
• Fill in the
centre 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
• Answer
clearly 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. Answers without
• Inexact answers should be given to three significant figures unless otherwise stated.
working may not gain full credit.
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.
• – use this asfora guide
The marks each as
question
to how are
much shown
timeintobrackets
spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Check answer
• your answers if you have time at the end.
Try to every question.
2025 Pearson Edexcel A Level Pure
Mathematics Question Paper Option 1 June+
Mark scheme
,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)
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
■■■■
Number Number
Mathematics
🟐 🟐
Advanced
PAPER 1: Pure Mathematics 1
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).
• Fill in the
centre 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
• Answer
clearly 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. Answers without
• Inexact answers should be given to three significant figures unless otherwise stated.
working may not gain full credit.
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.
• – use this asfora guide
The marks each as
question
to how are
much shown
timeintobrackets
spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Check answer
• your answers if you have time at the end.
Try to every question.
2025 Pearson Edexcel A Level Pure
Mathematics Question Paper Option 1 June+
Mark scheme
,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)
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
■■■■
