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2023 AQA A-level MATHEMATICS 7357/2 Paper 2 Question Paper & Mark scheme (Merged) June
2023 [VERIFIED]
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 meets the
requirements of the specification.
Question Mark
Instructions 1
Use black ink or black ball-point pen. Pencil should only be used for drawing. 2
Fill in the boxes at the top of this page. 3
Answer all questions. 4
You must answer each question in the space provided for that question.
5
If you need extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s). 6
Do not write outside the box around each page or on blank pages. 7
Show all necessary working; otherwise marks for method may be lost. 8
Do all rough work in this book. Cross through any work that you do not want 9
to be marked. 10
11
Information 12
The marks for questions are shown in brackets.
13
The maximum mark for this paper is 100.
14
Advice 15
Unless stated otherwise, you may quote formulae, without proof, from 16
the booklet. 17
You do not necessarily need to use all the space provided. 18
19
20
TOTAL
PB/KL/Jun23/E6 7357/2
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
2
1 The graph of y ¼ ax þ bx þ c has roots x ¼ 2 and x ¼ 5 , as shown in
the diagram below.
y
O 2 5 x
State the set of values of x which satisfy
2
ax þ bx þ c > 0
Tick (3) one box.
[1 mark]
fx : x < 2g ¨ fx : x > 5g
fx : 0 < x < 2g ˙ fx : 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 x ¼ 20 and f (x) d x ¼ 10
0 3
ð3
Find the value of f (x ) d x
0
Circle your answer.
[1 mark]
30 10 10 30
3 A circle has equation
2 2
(x 5) þ (y 13) ¼ 16
Find the radius of the circle.
Circle your answer.
[1 mark]
4 12 16 256
Turn over for the next question
Turn over
s
(03)
Jun23/7357/2
, 4
Do not write
outside the
4 A curve has equation box
2 p
x 4 x
þ
y¼ 8 ffiffiffi
dy
4 (a) Find an expression for
dx
[3 marks]
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