Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Thursday 12 June 2025
Afternoon (Time: 2 hours) Paper
reference 9MA0/02
Mathematics
Advanced
PAPER 2: Pure Mathematics 2
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
•• 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 boxes at the top of this page with your name,
centre number and candidate 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
•• 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 question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
• Check your answers if you have time at the end. Turn over
P74091A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/1/
*P74091A0148*
,1.
y
y x
4
10
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DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
P
O x
Figure 1
Figure 1 shows a sketch of the graph with equation y x
4
10
The point P, shown in Figure 1, is the vertex of the graph.
(a) State the coordinates of P
(2)
(b) Use algebra to solve
x 4
10
3 x
(Solutions relying on calculator technology are not acceptable.)
(2)
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2
*P74091A0248*
, Question 1 continued
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DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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(Total for Question 1 is 4 marks)
3
*P74091A0348* Turn over
, 2. (a) Sketch the curve with equation
3x
y 2
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
stating the coordinates of any points of intersection with the coordinate axes.
(2)
1
(b) By writing 2 as a power of 2, solve the equation
32
3 x 1
2
2
32
(2)
4
*P74091A0448*
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Thursday 12 June 2025
Afternoon (Time: 2 hours) Paper
reference 9MA0/02
Mathematics
Advanced
PAPER 2: Pure Mathematics 2
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
•• 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 boxes at the top of this page with your name,
centre number and candidate 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
•• 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 question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
• Check your answers if you have time at the end. Turn over
P74091A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/1/
*P74091A0148*
,1.
y
y x
4
10
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
P
O x
Figure 1
Figure 1 shows a sketch of the graph with equation y x
4
10
The point P, shown in Figure 1, is the vertex of the graph.
(a) State the coordinates of P
(2)
(b) Use algebra to solve
x 4
10
3 x
(Solutions relying on calculator technology are not acceptable.)
(2)
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_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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_____________________________________________________________________________________
_____________________________________________________________________________________
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_____________________________________________________________________________________
2
*P74091A0248*
, Question 1 continued
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DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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(Total for Question 1 is 4 marks)
3
*P74091A0348* Turn over
, 2. (a) Sketch the curve with equation
3x
y 2
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
stating the coordinates of any points of intersection with the coordinate axes.
(2)
1
(b) By writing 2 as a power of 2, solve the equation
32
3 x 1
2
2
32
(2)
4
*P74091A0448*
