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 3
Thursday 18 June 2026 Afternoon Time allowed: 2 hours
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.
5
l Answer all questions.
6
l You must answer each question in the space provided for that question.
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. 10
l Do all rough work in this book. Cross through any work that you do not want
11
to be marked
12
Information 13
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 100. 15
16
Advice 17
l Unless stated otherwise, you may quote formulae, without proof, from
18
the booklet.
l You do not necessarily need to use all the space provided.
19
TOTAL
(JUN267357301)
G/LM/Jun26/G4007/V7 7357/3
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 A student claims that the product of two numbers is always at least as great as each of
the two numbers.
The student gives an example:
3× 4 =
12
12 ≥ 3 and 12 ≥ 4
Determine which one of the options below shows that the student’s claim is not true.
Circle your answer.
[1 mark]
−1× −1 −1× 1 −1× 0 1× 1
2 Given that n is a positive integer, find nC1
Circle your answer.
[1 mark]
n! n–1 n n+1
(02)
G/Jun26/7357/3
, 3
Do not write
outside the
box
3 It is given that y = sin x
d2 y
Find an expression for
d x2
Circle your answer.
[1 mark]
− cos x − sin x cos x sin x
Turn over for the next question
Turn over U
(03)
G/Jun26/7357/3
, 4
Do not write
outside the
box
4 The graph with equation y = 2 x 2 − 3 x − 2 is shown on the diagram.
y
3
2
1
–1 0 1 2 3 x
–1
–2
–3
Shade the region defined by the inequalities
y ≥ 2 x 2 − 3 x − 2 and y < x − 2
[3 marks]
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
(04)
G/Jun26/7357/3
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
A-level
MATHEMATICS
Paper 3
Thursday 18 June 2026 Afternoon Time allowed: 2 hours
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.
5
l Answer all questions.
6
l You must answer each question in the space provided for that question.
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. 10
l Do all rough work in this book. Cross through any work that you do not want
11
to be marked
12
Information 13
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 100. 15
16
Advice 17
l Unless stated otherwise, you may quote formulae, without proof, from
18
the booklet.
l You do not necessarily need to use all the space provided.
19
TOTAL
(JUN267357301)
G/LM/Jun26/G4007/V7 7357/3
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 A student claims that the product of two numbers is always at least as great as each of
the two numbers.
The student gives an example:
3× 4 =
12
12 ≥ 3 and 12 ≥ 4
Determine which one of the options below shows that the student’s claim is not true.
Circle your answer.
[1 mark]
−1× −1 −1× 1 −1× 0 1× 1
2 Given that n is a positive integer, find nC1
Circle your answer.
[1 mark]
n! n–1 n n+1
(02)
G/Jun26/7357/3
, 3
Do not write
outside the
box
3 It is given that y = sin x
d2 y
Find an expression for
d x2
Circle your answer.
[1 mark]
− cos x − sin x cos x sin x
Turn over for the next question
Turn over U
(03)
G/Jun26/7357/3
, 4
Do not write
outside the
box
4 The graph with equation y = 2 x 2 − 3 x − 2 is shown on the diagram.
y
3
2
1
–1 0 1 2 3 x
–1
–2
–3
Shade the region defined by the inequalities
y ≥ 2 x 2 − 3 x − 2 and y < x − 2
[3 marks]
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
(04)
G/Jun26/7357/3
