AQA
A-level
MATHEMATICS
7357/3
Paper 3
Question Paper + Mark scheme [MERGED]
June 2022
, 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
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the Question Mark
requirements of the specification. 1
2
Instructions
l Use black ink or black ball-point pen. Pencil should only be used for drawing. 3
l Fill in the boxes at the top of this page. 4
l Answer all questions. 5
l 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).
l Do not write outside the box around each page or on blank pages. 8
l Show all necessary working; otherwise marks for method may be lost. 9
l Do all rough work in this book. Cross through any work that you do not want 10
to be marked. 11
12
Information 13
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100. 14
15
Advice 16
l Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet. 18
l You do not necessarily need to use all the space provided.
19
TOTAL
(JUN227357301)
PB/Jun22/E7 7357/3
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 State the range of values of x for which the binomial expansion of
rffiffiffiffiffiffiffiffiffiffiffiffi
x
1
4
is valid.
Circle your answer.
[1 mark]
1
jxj < jxj < 1 jxj < 2 jxj < 4
4
(02)
Jun22/7357/3
, 3
Do not write
outside the
2 The shaded region, shown in the diagram below, is defined by box
x 2 7x þ 7 y 7 2 x
y
O 5 x
Identify which of the following gives the area of the shaded region.
Tick (3) one box.
[1 mark]
ð ð
(7 2 x) d x (x 2 7x þ 7) d x
ð5
(x 2 5 x) d x
0
ð5
(5 x x 2 ) d x
0
ð5
(x 2 9x þ 14) d x
0
Turn over for the next question
Turn over
s
(03)
Jun22/7357/3
A-level
MATHEMATICS
7357/3
Paper 3
Question Paper + Mark scheme [MERGED]
June 2022
, 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
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the Question Mark
requirements of the specification. 1
2
Instructions
l Use black ink or black ball-point pen. Pencil should only be used for drawing. 3
l Fill in the boxes at the top of this page. 4
l Answer all questions. 5
l 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).
l Do not write outside the box around each page or on blank pages. 8
l Show all necessary working; otherwise marks for method may be lost. 9
l Do all rough work in this book. Cross through any work that you do not want 10
to be marked. 11
12
Information 13
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100. 14
15
Advice 16
l Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet. 18
l You do not necessarily need to use all the space provided.
19
TOTAL
(JUN227357301)
PB/Jun22/E7 7357/3
, 2
Do not write
outside the
Section A box
Answer all questions in the spaces provided.
1 State the range of values of x for which the binomial expansion of
rffiffiffiffiffiffiffiffiffiffiffiffi
x
1
4
is valid.
Circle your answer.
[1 mark]
1
jxj < jxj < 1 jxj < 2 jxj < 4
4
(02)
Jun22/7357/3
, 3
Do not write
outside the
2 The shaded region, shown in the diagram below, is defined by box
x 2 7x þ 7 y 7 2 x
y
O 5 x
Identify which of the following gives the area of the shaded region.
Tick (3) one box.
[1 mark]
ð ð
(7 2 x) d x (x 2 7x þ 7) d x
ð5
(x 2 5 x) d x
0
ð5
(5 x x 2 ) d x
0
ð5
(x 2 9x þ 14) d x
0
Turn over for the next question
Turn over
s
(03)
Jun22/7357/3
