A-level
MATHEMATICS
Paper 3 JUNE 2022
Time allowed: 2 hours
Materials
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.
Instructions
Use black ink or b...
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 Question Mark
meets the requirements of the specification. 1
2
Instructions 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 at 7
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
not want to be marked. 12
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.
You do not necessarily need to use all the space provided. TOTAL
1
,MATHS PPR3
(JUN227357301)
PB/Jun22/E7
7357/3
2
, 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
rffi ffiffiffi ffiffiffiffiffi ffiffi
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 box
defined by
x 2 — 7x þ 7 ≤ y ≤ 7 — 2x
y
O 5 x
Identify which of the following gives the area of the shaded region.
Tick (3) one box.
[1
ð ð
mark]
(7 — 2x) d x — (x2 — 7x þ 7)
dx
ð5
(x2 — 5x) d x
0
ð5 2
—
0 (5x x )dx
ð5
( 2
— 9x þ 14) d
x0 x
Turn over for the next question
(03)
Jun22/7357/
3
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