Aqa 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 15 May 2023 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables
Questio Mark
booklet for A-level Mathematics and A-level Further n
Mathematics.
1
You should have a graphical or scientific calculator that
meets the requirements of the specification. 2
3
Instructions
4
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.
5
Answer all questions.
You must answer each question in the space provided for that question. 6
If you require extra space for your answer(s), use the lined pages at 7
the end of 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 to be marked. 11
12
Information
The marks for questions are shown in brackets. 13
The maximum mark for this paper is 80.
14
Advice TOTAL
Unless stated otherwise, you may quote formulae,
without proof, from the booklet.
You do not necessarily need to use all the space provided.
Aqa maths
,Aqa maths
(JUN237366101)
G/LM/Jun23/
E7 7366/1
Aqa maths
, 2
Do not write
outside the
Answer all questions in the spaces box
provided.
1 Which expression below is equivalent to tanh x ?
Circle your answer.
[1 mark]
sinh
sinh x cosh x cosh
x sinh x + cosh x
cosh x
x sinh
x
2 The two vectors a and b are such that
a.b = 0 State the angle between the
vectors a and b
Circle your answer.
[1 mark]
0° 45° 90° 180°
(02
) G/
Jun23/7366/1
, 3
Do not write
outside the
box
3 The matrices A and B are
given by
[
3 1
[
0 4
B= 7 1
A= 0 5
Calculate AB
] ]
Circle your
answer.
[1 mark]
[ 3 5
7 6
[ 0 20
21 12
[
0 4
13
[
7
]
0 5 35 5
] ] ]
4 The roots of the equation
5x3 + 2x2 – 3x + p = 0
are α, β and γ
Given that p is a constant, state the value of αβ + βγ + γα
Circle your answer.
[1 mark]
3 2 2 3
–5 –5 5 5
(03
) G/
Jun23/7366/1
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 15 May 2023 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables
Questio Mark
booklet for A-level Mathematics and A-level Further n
Mathematics.
1
You should have a graphical or scientific calculator that
meets the requirements of the specification. 2
3
Instructions
4
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.
5
Answer all questions.
You must answer each question in the space provided for that question. 6
If you require extra space for your answer(s), use the lined pages at 7
the end of 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 to be marked. 11
12
Information
The marks for questions are shown in brackets. 13
The maximum mark for this paper is 80.
14
Advice TOTAL
Unless stated otherwise, you may quote formulae,
without proof, from the booklet.
You do not necessarily need to use all the space provided.
Aqa maths
,Aqa maths
(JUN237366101)
G/LM/Jun23/
E7 7366/1
Aqa maths
, 2
Do not write
outside the
Answer all questions in the spaces box
provided.
1 Which expression below is equivalent to tanh x ?
Circle your answer.
[1 mark]
sinh
sinh x cosh x cosh
x sinh x + cosh x
cosh x
x sinh
x
2 The two vectors a and b are such that
a.b = 0 State the angle between the
vectors a and b
Circle your answer.
[1 mark]
0° 45° 90° 180°
(02
) G/
Jun23/7366/1
, 3
Do not write
outside the
box
3 The matrices A and B are
given by
[
3 1
[
0 4
B= 7 1
A= 0 5
Calculate AB
] ]
Circle your
answer.
[1 mark]
[ 3 5
7 6
[ 0 20
21 12
[
0 4
13
[
7
]
0 5 35 5
] ] ]
4 The roots of the equation
5x3 + 2x2 – 3x + p = 0
are α, β and γ
Given that p is a constant, state the value of αβ + βγ + γα
Circle your answer.
[1 mark]
3 2 2 3
–5 –5 5 5
(03
) G/
Jun23/7366/1
