AQA
A-level
MATHEMATICS
7357/3
Paper 3
Version: 1.0 Final
PB/KL/Jun23/E7 7357/3
A-level
MATHEMATICS
Paper 3
Time allowed: 2 hours
Materials
l
... [Show More] You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the
requirements of the specification.
Instructions
l Use black ink or black ball-point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page.
l Answer all questions.
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 this book. Write the question number against your answer(s).
Do not write outside the box around each page or on blank pages.
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
to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the
booklet.
l You do not necessarily need to use all the space provided.
Please write clearly in block capitals.
Centre number Candidate number
Surname ________________________________________________________________________
Forename(s) ________________________________________________________________________
Candidate signature ________________________________________________________________________
For Examiner’s Use
Question Mark
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
TOTAL
I declare this is my own work.
l
2
Section A
Answer all questions in the spaces provided.
1 The graph of y ¼ f (x) is shown below.
O
y
x
One of the four equations listed below is the equation of the graph y ¼ f (x)
Identify which one is the correct equation of the graph.
Tick (3) one box.
[1 mark]
y ¼ jx þ 2j þ 3
y ¼ jx þ 2j 3
y ¼ jx 2j þ 3
y ¼ jx 2j 3
Jun23/7357/3
Do not write
outside the
box
(02)
3
2 The trapezium rule is used to estimate the area of the shaded region in each of the
graphs below.
Identify the graph for which the trapezium rule produces an overestimate.
Tick (3) one box.
[1 mark]
O x
y
O x
y
O x
y
O x
y
Do not write
outside the
box
Jun23/7357/3
Turn over s
(03)
4
3 A curve with equation y ¼ f (x) passes through the point (3, 7)
Given that f ’(3) ¼ 0 find the equation of the normal to the curve at (3, 7)
Circle your answer.
[1 mark]
y ¼ 7
3 x y ¼ 0 x ¼ 3 x ¼ 7
4 Express
5 ffiffiffi
x p3
x2
in the form
5x p xq
where p and q are constants.
[2 marks]
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Do not write
outside the
box
Jun23/7357/3
(04)
5
5 A curve has equation y ¼ 3e2x
Find the gradient of the curve at the point where y [Show Less]