2025 AQA A-LEVEL MATHEMATICS Paper 2 Question Paper &
Mark Scheme (Merged) Thursday 12 June 2025 [VERIFIED]
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
A-level
MATHEMATICS
Paper 2
Thursday 12 June 2025 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
You must have the AQA Formulae for A‑ level Mathematics booklet.
You should have a graphical or scientific calculator that meets the Question Mark
requirements of the specification. 1
2
Instructions 3
Use black ink or black ball‑ point pen. Pencil should only be used for drawing.
4
Fill in the boxes at the top of this page.
Answer all questions. 5
You must answer each question in the space provided for that question. 6
If you need extra space for your answer(s), use the lined pages at the end of 7
this book. Write the question number against your answer(s).
8
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost. 9
Do all rough work in this book. Cross through any work that you do not want 10
to be marked. 11
12
Information
The marks for questions are shown in brackets. 13
The maximum mark for this paper is 100. 14
15
Advice
16
Unless stated otherwise, you may quote formulae, without proof, from
the booklet. 17
You do not necessarily need to use all the space provided. 18
19
TOTAL
G/LM/Jun25/G4006/E8 7357/2
, 2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 Describe the single transformation which maps the curve with the equation
y = ln x
onto the curve with the equation
y = 2 ln x
Tick (🗸) one box.
[1 mark]
Stretch, scale factor 2, parallel to the y‑ axis
1
Stretch, scale factor , parallel to the x‑ axis
2
2
Translation
0
0
Translation
2
G/Jun25/7357/2
, 3
Do not write
outside the
2 One of the diagrams below shows the graph of y = cosec x° for 0 ≤ x ≤ 360 box
Identify the correct graph.
Tick (🗸) one box.
[1 mark]
y y
1 1
O O
180 360 x 180 360 x
–1 –1
y y
1 1
O O
90 270 x 90 270 x
–1 –1
Turn over for the next question
Turn over U
G/Jun25/7357/2
, 4
3 The diagram shows the graph with equation y = (x + 2)(x – 7)
y
–2 O 7 x
Solve the inequality.
(x + 2)(x – 7) > 0
Tick (🗸) one box.
[1 mark]
x (– ∞, –2) ∩ (7, ∞)
x (– ∞, –2) (7, ∞)
∩
x (– ∞, – 2 ] ∩ [ 7, ∞)
x (– ∞, –2 ] [7, ∞)
∩
Mark Scheme (Merged) Thursday 12 June 2025 [VERIFIED]
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
A-level
MATHEMATICS
Paper 2
Thursday 12 June 2025 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
You must have the AQA Formulae for A‑ level Mathematics booklet.
You should have a graphical or scientific calculator that meets the Question Mark
requirements of the specification. 1
2
Instructions 3
Use black ink or black ball‑ point pen. Pencil should only be used for drawing.
4
Fill in the boxes at the top of this page.
Answer all questions. 5
You must answer each question in the space provided for that question. 6
If you need extra space for your answer(s), use the lined pages at the end of 7
this book. Write the question number against your answer(s).
8
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost. 9
Do all rough work in this book. Cross through any work that you do not want 10
to be marked. 11
12
Information
The marks for questions are shown in brackets. 13
The maximum mark for this paper is 100. 14
15
Advice
16
Unless stated otherwise, you may quote formulae, without proof, from
the booklet. 17
You do not necessarily need to use all the space provided. 18
19
TOTAL
G/LM/Jun25/G4006/E8 7357/2
, 2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 Describe the single transformation which maps the curve with the equation
y = ln x
onto the curve with the equation
y = 2 ln x
Tick (🗸) one box.
[1 mark]
Stretch, scale factor 2, parallel to the y‑ axis
1
Stretch, scale factor , parallel to the x‑ axis
2
2
Translation
0
0
Translation
2
G/Jun25/7357/2
, 3
Do not write
outside the
2 One of the diagrams below shows the graph of y = cosec x° for 0 ≤ x ≤ 360 box
Identify the correct graph.
Tick (🗸) one box.
[1 mark]
y y
1 1
O O
180 360 x 180 360 x
–1 –1
y y
1 1
O O
90 270 x 90 270 x
–1 –1
Turn over for the next question
Turn over U
G/Jun25/7357/2
, 4
3 The diagram shows the graph with equation y = (x + 2)(x – 7)
y
–2 O 7 x
Solve the inequality.
(x + 2)(x – 7) > 0
Tick (🗸) one box.
[1 mark]
x (– ∞, –2) ∩ (7, ∞)
x (– ∞, –2) (7, ∞)
∩
x (– ∞, – 2 ] ∩ [ 7, ∞)
x (– ∞, –2 ] [7, ∞)
∩
