[Type text]
AQA
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
Tuesday 13 June 2023 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 Questio Mark
n
meets the requirements of the specification.
1
Instructions 2
3
Use black ink or black ball-point pen. Pencil should only be used for drawing.
Fill in the boxes at the top of this page. 4
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 7
at the end of this book. Write the question number against your 8
answer(s). 9
Do not write outside the box around each page or on blank pages.
10
Show all necessary working; otherwise marks for method may be lost.
11
Do all rough work in this book. Cross through any work that you do
12
not want to be marked.
13
Information 14
The marks for questions are shown in brackets.
15
The maximum mark for this paper is 100. 16
17
Advice 18
Unless stated otherwise, you may quote formulae, without 19
proof, from the booklet. 20
You do not necessarily need to use all the space provided. TOTAL
1
,[Type text]
PB/KL/Jun23/E6 7357/2
2
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces
provided.
1 y ax 2 þ bx þ c has roots x¼ 2 and x 5 , as shown in
The graph of ¼
the diagram below. ¼
y
O 2 5 x
State the set of values of x which satisfy
ax 2 þ bx þ c > 0
Tick (3) one box.
[1
mark]
fx : x < 2g ¨ fx : x > 5g
fx : 0 < x < 2g ˙f x : x >
5g fx : 2 < x < 5g
fx : 2 > x > 5g
(02)
Jun23/7357/
2
, 3
Do not write
outside the
2 It is given that box
ð6 ð6
f (x) d x¼ 20 f (x ) d x ¼ —
and 10
0 3
ð 3
Find the value f (x ) d
of x0
Circle your answer.
[1 mark]
—30 —10 10
30
3 A circle has equation
(x — 5)2 þ ( y — 13)2 ¼
16
Find the radius of the
circle. Circle your
[1 mark]
answer.
4 12 16 256
Turn over for the next question
(03)
Jun23/7357/
2
AQA
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
Tuesday 13 June 2023 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 Questio Mark
n
meets the requirements of the specification.
1
Instructions 2
3
Use black ink or black ball-point pen. Pencil should only be used for drawing.
Fill in the boxes at the top of this page. 4
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 7
at the end of this book. Write the question number against your 8
answer(s). 9
Do not write outside the box around each page or on blank pages.
10
Show all necessary working; otherwise marks for method may be lost.
11
Do all rough work in this book. Cross through any work that you do
12
not want to be marked.
13
Information 14
The marks for questions are shown in brackets.
15
The maximum mark for this paper is 100. 16
17
Advice 18
Unless stated otherwise, you may quote formulae, without 19
proof, from the booklet. 20
You do not necessarily need to use all the space provided. TOTAL
1
,[Type text]
PB/KL/Jun23/E6 7357/2
2
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces
provided.
1 y ax 2 þ bx þ c has roots x¼ 2 and x 5 , as shown in
The graph of ¼
the diagram below. ¼
y
O 2 5 x
State the set of values of x which satisfy
ax 2 þ bx þ c > 0
Tick (3) one box.
[1
mark]
fx : x < 2g ¨ fx : x > 5g
fx : 0 < x < 2g ˙f x : x >
5g fx : 2 < x < 5g
fx : 2 > x > 5g
(02)
Jun23/7357/
2
, 3
Do not write
outside the
2 It is given that box
ð6 ð6
f (x) d x¼ 20 f (x ) d x ¼ —
and 10
0 3
ð 3
Find the value f (x ) d
of x0
Circle your answer.
[1 mark]
—30 —10 10
30
3 A circle has equation
(x — 5)2 þ ( y — 13)2 ¼
16
Find the radius of the
circle. Circle your
[1 mark]
answer.
4 12 16 256
Turn over for the next question
(03)
Jun23/7357/
2
