surname names
Number Number
Mathematics
🟐 🟐
Advanced Subsidiary May 2025 Edexcel: AS Level Mathematics
PAPER 1: Pure Mathematics 8MA0/01 Pure Mathematics – Combined
Question Paper & Mark Scheme
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
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.
• Inexact answers should be given to three significant figures unless otherwise stated.
Answers without working may not gain full credit.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The are 15 questions in this question paper. The total mark for this paper is 100.
– use this asfor
marks each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. Turn over
P75679A
©2025 Pearson Education Ltd.
Y:1/1/1/1/
,1.
y
B (2, 7)
DO NOT WRITE IN THIS AREA
y=3
A (–1, 0)
O x
Figure 1
Figure 1 shows a curve with equation y = f (x)
The curve
DO NOT WRITE IN THIS AREA
• passes through the point A (–1, 0)
• has a maximum turning point at B (2, 7)
• has a horizontal asymptote with equation y = 3
On separate diagrams, sketch the curve with equation
(i) y = f (x + 2)
(3)
(ii) y = –f (x)
(3)
On each diagram, show clearly the coordinates of the points to which A and B are
transformed and the equation of the asymptote.
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 6 marks)
3
Turn over
, 5
2. The line l passes through the points A (–3, 0) and B , 22
2
DO NOT WRITE IN THIS AREA
(a) Find the equation of l giving your answer in the form y = mx + c where m and c are
constants.
(3)
y
B
C
l
R
A O x
DO NOT WRITE IN THIS AREA
Figure 2
Figure 2 shows the line l and the curve C, which intersect at A and B.
Given that
• C has equation y = 2x2 + 5x – 3
• the region R, shown shaded in Figure 2, is bounded by l and C
(b) use inequalities to define R.
(2)
DO NOT WRITE IN THIS AREA
4
■■■■
Number Number
Mathematics
🟐 🟐
Advanced Subsidiary May 2025 Edexcel: AS Level Mathematics
PAPER 1: Pure Mathematics 8MA0/01 Pure Mathematics – Combined
Question Paper & Mark Scheme
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
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.
• Inexact answers should be given to three significant figures unless otherwise stated.
Answers without working may not gain full credit.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The are 15 questions in this question paper. The total mark for this paper is 100.
– use this asfor
marks each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. Turn over
P75679A
©2025 Pearson Education Ltd.
Y:1/1/1/1/
,1.
y
B (2, 7)
DO NOT WRITE IN THIS AREA
y=3
A (–1, 0)
O x
Figure 1
Figure 1 shows a curve with equation y = f (x)
The curve
DO NOT WRITE IN THIS AREA
• passes through the point A (–1, 0)
• has a maximum turning point at B (2, 7)
• has a horizontal asymptote with equation y = 3
On separate diagrams, sketch the curve with equation
(i) y = f (x + 2)
(3)
(ii) y = –f (x)
(3)
On each diagram, show clearly the coordinates of the points to which A and B are
transformed and the equation of the asymptote.
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 6 marks)
3
Turn over
, 5
2. The line l passes through the points A (–3, 0) and B , 22
2
DO NOT WRITE IN THIS AREA
(a) Find the equation of l giving your answer in the form y = mx + c where m and c are
constants.
(3)
y
B
C
l
R
A O x
DO NOT WRITE IN THIS AREA
Figure 2
Figure 2 shows the line l and the curve C, which intersect at A and B.
Given that
• C has equation y = 2x2 + 5x – 3
• the region R, shown shaded in Figure 2, is bounded by l and C
(b) use inequalities to define R.
(2)
DO NOT WRITE IN THIS AREA
4
■■■■
