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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 Question Mark
requirements of the specification. 1
2
Instructions
⚫ Use black ink or black ball-point pen. Pencil should only be used for drawing. 3
⚫ 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 at the end 7
of this book. Write the question number against your answer(s). 8
⚫ Do not write outside the box around each page or on blank pages. 9
⚫ Show all necessary working; otherwise marks for method may be lost.
10
⚫ Do all rough work in this book. Cross through any work that you do not want
11
to be marked.
12
Information 13
⚫ The marks for questions are shown in brackets. 14
⚫ The maximum mark for this paper is 100. 15
16
Advice 17
⚫ Unless stated otherwise, you may quote formulae, without proof, from the
18
booklet.
19
⚫ You do not necessarily need to use all the space provided.
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
ax2 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
ð
3
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
p
x2 4 x
þ
y¼ 8 ffiffiffi
4 (a) Find an expression for dy
dx
[3 marks]
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