Paper1 maths
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 1
Monday 13 May 2024 Afternoon Time allowed: 1 hour 30
minutes
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables Question Mark
booklet for A-level Mathematics and A-level Further
Mathematics. 1
You should have a graphical or scientific calculator that 2
meets the requirements of the specification. 3
4
Instructions
5
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. 6
Answer all questions. 7
You must answer each question in the space provided for that question. 8
If you require extra space for your answer(s), use the lined pages at
9
the end of this book. Write the question number against your
answer(s). 10
Do not write outside the box around each page or on blank pages. 11
Show all necessary working; otherwise marks for method may be lost. 12
Do all rough work in this book. Cross through any work that you do
13
not want to be marked.
14
Information 15
The marks for questions are shown in brackets. 16
The maximum mark for this paper is 80.
17
Advice TOTAL
Unless stated otherwise, you may quote formulae,
Paper1 maths
,Paper1 maths
without proof, from the booklet.
You do not necessarily need to use all the space provided.
G/LM/Jun24/G4001/V5
7366/1
Paper1 maths
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 Express cosh2 x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh2 x 1 – sinh2 x sinh2 x – 1 –1 – sinh2
x
2 The function f is defined by
f ( x ) = 2x + 3 0≤x≤5
The region R is enclosed by y = f (x), x = 5, the x-axis and the
y-axis. The region R is rotated through 2π radians about the
x-axis.
Give an expression for the volume of the solid [1 mark]
formed. Tick () one box.
5
π (2x + 3) dx
0
5
π (2x + 3)2 dx
0
2π
(2x + 3) dx
5
0
2π
(2x + 3)
5
2
dx
0
G/
Jun24/7366/1
, 3
Do not write
outside the
box
3 The matrix A is such that det(A)
=2
–
Determine the value of det(A 1)
Circle your answer. [1 mark]
1
1 2 2
–2 –
2
4 The line L has vector
equation
[
4
[ ]
–9
r= –
] 7
+λ 1
3
Give the equation of L in Cartesian form.
Tick () one box.
[1 mark]
x+4 y–7 z
–9 = 1 = 3
x–4 y+7 z
= =3
–9 1
y–
1x + 9 = ,z=3
4 –7
x1 – 9 y+
= ,z=3
4 –7
G/
Jun24/7366/1
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 1
Monday 13 May 2024 Afternoon Time allowed: 1 hour 30
minutes
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables Question Mark
booklet for A-level Mathematics and A-level Further
Mathematics. 1
You should have a graphical or scientific calculator that 2
meets the requirements of the specification. 3
4
Instructions
5
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. 6
Answer all questions. 7
You must answer each question in the space provided for that question. 8
If you require extra space for your answer(s), use the lined pages at
9
the end of this book. Write the question number against your
answer(s). 10
Do not write outside the box around each page or on blank pages. 11
Show all necessary working; otherwise marks for method may be lost. 12
Do all rough work in this book. Cross through any work that you do
13
not want to be marked.
14
Information 15
The marks for questions are shown in brackets. 16
The maximum mark for this paper is 80.
17
Advice TOTAL
Unless stated otherwise, you may quote formulae,
Paper1 maths
,Paper1 maths
without proof, from the booklet.
You do not necessarily need to use all the space provided.
G/LM/Jun24/G4001/V5
7366/1
Paper1 maths
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 Express cosh2 x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh2 x 1 – sinh2 x sinh2 x – 1 –1 – sinh2
x
2 The function f is defined by
f ( x ) = 2x + 3 0≤x≤5
The region R is enclosed by y = f (x), x = 5, the x-axis and the
y-axis. The region R is rotated through 2π radians about the
x-axis.
Give an expression for the volume of the solid [1 mark]
formed. Tick () one box.
5
π (2x + 3) dx
0
5
π (2x + 3)2 dx
0
2π
(2x + 3) dx
5
0
2π
(2x + 3)
5
2
dx
0
G/
Jun24/7366/1
, 3
Do not write
outside the
box
3 The matrix A is such that det(A)
=2
–
Determine the value of det(A 1)
Circle your answer. [1 mark]
1
1 2 2
–2 –
2
4 The line L has vector
equation
[
4
[ ]
–9
r= –
] 7
+λ 1
3
Give the equation of L in Cartesian form.
Tick () one box.
[1 mark]
x+4 y–7 z
–9 = 1 = 3
x–4 y+7 z
= =3
–9 1
y–
1x + 9 = ,z=3
4 –7
x1 – 9 y+
= ,z=3
4 –7
G/
Jun24/7366/1
