AQA A LEVEL (7357/2) MATHEMATICS PAPER 2 QUESTION
PAPER+MARK SCHEME JUNE 2024
Please writeclearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
A-level
MATHEMATICS
Paper 2
Tuesday 11 June 2024 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
You must have the AQA Formulae for A‑ level Mathematics booklet Question Mark
You should have a graphical or scientific calculator that meets the
1
requirements of the specification. 2
3
Instructions
Use black ink or black ball‑ point pen. Pencil should only be used for drawing.
4
Fill in the boxes at the top of this page.
5
Answer all questions.
6
You must answer each question in the space provided for that question. 7
If you need extra space for your answer(s), use the lined pages at the end of 8
this book. Write the question number against your 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
12
to be marked. 13
14
Information
15
The marks for questions are shown in brackets.
The maximum mark for this paper is 100.
16
17
Advice 18
Unless stated otherwise, you may quote formulae, without proof, from 19
the booklet. 20
You do not necessarily need to use all the space provided. 21
TOTAL
G/LM/Jun24/G4005/E7 7357/2
, 2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 One of the equations below is the equation of a circle.
Identify this equation.
[1 mark]
Tick (🗸) one box.
(x + 1)2 – (y + 2)2 = –36
(x + 1)2 – (y + 2)2 = 36
(x + 1)2 + (y + 2)2 = –36
(x + 1)2 + (y + 2)2 = 36
G/Jun24/7357/2
, 3
Do not write
outside the
2 The graph of y = f (x) intersects the x‑ axis at (–3, 0), (0, 0) and (2, 0) as shown in the box
diagram below.
y
A
–3 2 x
B
The shaded region A has an area of 189
The shaded region B has an area of 64
2
Find the value of ∫ –3
f (x) dx
Circle your answer.
[1 mark]
–253 –125 125 253
Turn over for the next question
Turn over U
G/Jun24/7357/2
, 4
Do not write
outside the
box
3 Solve the inequality
(1 – x)(x – 4) < 0
[1 mark]
Tick (🗸) one box.
∩
{x : x < 1} {x : x > 4}
{x : x < 1} ∩ {x : x > 4}
{x : x ≥ 4}
∩
{x : x < 1}
{x : x < 1} ∩ {x : x ≥ 4}
G/Jun24/7357/2
PAPER+MARK SCHEME JUNE 2024
Please writeclearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
A-level
MATHEMATICS
Paper 2
Tuesday 11 June 2024 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
You must have the AQA Formulae for A‑ level Mathematics booklet Question Mark
You should have a graphical or scientific calculator that meets the
1
requirements of the specification. 2
3
Instructions
Use black ink or black ball‑ point pen. Pencil should only be used for drawing.
4
Fill in the boxes at the top of this page.
5
Answer all questions.
6
You must answer each question in the space provided for that question. 7
If you need extra space for your answer(s), use the lined pages at the end of 8
this book. Write the question number against your 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
12
to be marked. 13
14
Information
15
The marks for questions are shown in brackets.
The maximum mark for this paper is 100.
16
17
Advice 18
Unless stated otherwise, you may quote formulae, without proof, from 19
the booklet. 20
You do not necessarily need to use all the space provided. 21
TOTAL
G/LM/Jun24/G4005/E7 7357/2
, 2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 One of the equations below is the equation of a circle.
Identify this equation.
[1 mark]
Tick (🗸) one box.
(x + 1)2 – (y + 2)2 = –36
(x + 1)2 – (y + 2)2 = 36
(x + 1)2 + (y + 2)2 = –36
(x + 1)2 + (y + 2)2 = 36
G/Jun24/7357/2
, 3
Do not write
outside the
2 The graph of y = f (x) intersects the x‑ axis at (–3, 0), (0, 0) and (2, 0) as shown in the box
diagram below.
y
A
–3 2 x
B
The shaded region A has an area of 189
The shaded region B has an area of 64
2
Find the value of ∫ –3
f (x) dx
Circle your answer.
[1 mark]
–253 –125 125 253
Turn over for the next question
Turn over U
G/Jun24/7357/2
, 4
Do not write
outside the
box
3 Solve the inequality
(1 – x)(x – 4) < 0
[1 mark]
Tick (🗸) one box.
∩
{x : x < 1} {x : x > 4}
{x : x < 1} ∩ {x : x > 4}
{x : x ≥ 4}
∩
{x : x < 1}
{x : x < 1} ∩ {x : x ≥ 4}
G/Jun24/7357/2
