ACTUAL JUNE 2024 AQA A-LEVEL MATHEMATICS PAPER 1 7357/1 QUESTION PAPER
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 1
Tuesday 4 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
requirements of the specification. 1
2
Instructions 3
⚫ 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.
⚫ 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 of 7
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
⚫ Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet. 18
⚫ You do not necessarily need to use all the space provided. 19
20
TOTAL
G/LM/Jun24/G4005/E6 7357/1
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Find the coefficient of x in the expansion of
(4x3 – 5 x 2 + 3x – 2)(x5 + 4x + 1)
Circle your answer.
[1 mark]
–5 –2 7 11
G/Jun24/7357/1
, 3
Do not write
outside the
2 The function f is defined by f (x) = e x + 1 for x ℝ box
Find an expression for f –1(x)
Tick (🗸) one box.
[1 mark]
f –1(x) = ln (x – 1)
f –1(x) = ln (x) – 1
1
f –1(x) =
ex + 1
x–1
f –1(x) = e
Turn over for the next question
Turn over U
G/Jun24/7357/1
, 4
Do not write
outside the
box
3 The expression
12x2 + 3x + 7
3x – 5
can be written as
C
Ax + B +
3x – 5
State the value of A
Circle your answer.
[1 mark]
3 4 7 9
G/Jun24/7357/1
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 1
Tuesday 4 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
requirements of the specification. 1
2
Instructions 3
⚫ 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.
⚫ 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 of 7
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
⚫ Unless stated otherwise, you may quote formulae, without proof, from the 17
booklet. 18
⚫ You do not necessarily need to use all the space provided. 19
20
TOTAL
G/LM/Jun24/G4005/E6 7357/1
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Find the coefficient of x in the expansion of
(4x3 – 5 x 2 + 3x – 2)(x5 + 4x + 1)
Circle your answer.
[1 mark]
–5 –2 7 11
G/Jun24/7357/1
, 3
Do not write
outside the
2 The function f is defined by f (x) = e x + 1 for x ℝ box
Find an expression for f –1(x)
Tick (🗸) one box.
[1 mark]
f –1(x) = ln (x – 1)
f –1(x) = ln (x) – 1
1
f –1(x) =
ex + 1
x–1
f –1(x) = e
Turn over for the next question
Turn over U
G/Jun24/7357/1
, 4
Do not write
outside the
box
3 The expression
12x2 + 3x + 7
3x – 5
can be written as
C
Ax + B +
3x – 5
State the value of A
Circle your answer.
[1 mark]
3 4 7 9
G/Jun24/7357/1
