Pearson Edexcel Level 3 GCE Mathematics Advanced PAPER 2: Pure Mathematics 2 JUN
combined Question Paper and Mark scheme
Please check the examination details below before entering your candidate information
surname names
Number Number
Thursday 12 June 2025
Paper
reference
Mathematics
Advanced
PAPER 2: Pure Mathematics 2
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
•• IfUsepencil
black ink or ball-point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the boxesand
number at the top of this
candidate page with your name,
number.
all questions and ensure that your answers to parts of questions
• Answer
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.
• –Theusemarks
this asfor each as
a guide to howare
question much timeintobrackets
shown 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/
, 1.
y
y x 4 10
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 3x
(Solutions relying on calculator technology are not acceptable.)
(2)
2
, 3
(Total for Question 1 is 4 marks)
Question 1 continued
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
, 2. (a) Sketch the curve with equation
3x
y2
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
3x 1 2
2
32
(2)
4
combined Question Paper and Mark scheme
Please check the examination details below before entering your candidate information
surname names
Number Number
Thursday 12 June 2025
Paper
reference
Mathematics
Advanced
PAPER 2: Pure Mathematics 2
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
•• IfUsepencil
black ink or ball-point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the boxesand
number at the top of this
candidate page with your name,
number.
all questions and ensure that your answers to parts of questions
• Answer
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.
• –Theusemarks
this asfor each as
a guide to howare
question much timeintobrackets
shown 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/
, 1.
y
y x 4 10
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 3x
(Solutions relying on calculator technology are not acceptable.)
(2)
2
, 3
(Total for Question 1 is 4 marks)
Question 1 continued
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
, 2. (a) Sketch the curve with equation
3x
y2
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
3x 1 2
2
32
(2)
4
