Please write clearly in block capitals.
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
AS
MATHEMATICS
Paper 2
Friday 22 May 2026 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
2
Instructions 3
l Use black ink or black ball-point pen. Pencil should only be used for drawing.
4
l Fill in the boxes at the top of this page.
l Answer all questions.
5
l You must answer each question in the space provided for that question. 6
l 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
l Do not write outside the box around each page or on blank pages.
9
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want 10
to be marked. 11
12
Information 13
l The marks for questions are shown in brackets.
14
l The maximum mark for this paper is 80.
15
Advice 16
l Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet. 18
l You do not necessarily need to use all the space provided.
TOTAL
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
2
1 The curve with equation y = f(x) is translated by the vector
0
Find the equation of the translated curve.
Circle your answer.
[1 mark]
y = f (x + 2) y = f (x – 2) y = f (x) + 2 y = f (x) – 2
2 It is given that
sin 2θ = 1
Find the number of solutions to the equation in the interval 0° < θ < 540°
Circle your answer.
[1 mark]
1 2 3 4
, 3
Do not write
outside the
box
3 (a) Find ∫ (4 x 2
– 8 x + 3) dx
[3 marks]
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______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
3 (b) Use your answer to part (a) to show that
5
∫ 2
(4 x 2 – 8 x + 3) dx = 81
[2 marks]
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
_
, 4
Do not write
outside the
4 Show that the equation box
2log3 (x – 2) – log3 (2 x + 5) = 1
has exactly one solution.
Fully justify your answer.
[5 marks]
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
AS
MATHEMATICS
Paper 2
Friday 22 May 2026 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
2
Instructions 3
l Use black ink or black ball-point pen. Pencil should only be used for drawing.
4
l Fill in the boxes at the top of this page.
l Answer all questions.
5
l You must answer each question in the space provided for that question. 6
l 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
l Do not write outside the box around each page or on blank pages.
9
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want 10
to be marked. 11
12
Information 13
l The marks for questions are shown in brackets.
14
l The maximum mark for this paper is 80.
15
Advice 16
l Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet. 18
l You do not necessarily need to use all the space provided.
TOTAL
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
2
1 The curve with equation y = f(x) is translated by the vector
0
Find the equation of the translated curve.
Circle your answer.
[1 mark]
y = f (x + 2) y = f (x – 2) y = f (x) + 2 y = f (x) – 2
2 It is given that
sin 2θ = 1
Find the number of solutions to the equation in the interval 0° < θ < 540°
Circle your answer.
[1 mark]
1 2 3 4
, 3
Do not write
outside the
box
3 (a) Find ∫ (4 x 2
– 8 x + 3) dx
[3 marks]
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
3 (b) Use your answer to part (a) to show that
5
∫ 2
(4 x 2 – 8 x + 3) dx = 81
[2 marks]
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
_
, 4
Do not write
outside the
4 Show that the equation box
2log3 (x – 2) – log3 (2 x + 5) = 1
has exactly one solution.
Fully justify your answer.
[5 marks]
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
