Paper 2
Question paper and Marking scheme Merged
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
, 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
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, 3
Do not write
outside the
box
2 One of the diagrams below shows the graph of y = cosec x° for 0 ≤ x ≤ 360
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
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, 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, ∞)
∩