AQA-7366-1-FURTHER MATHEMATICS QUESTION PAPER 1-AS LEVEL-13May24-PM
10 views 0 purchase
Module
AQA FURTHER MATHEMATICS
Institution
AQA FURTHER MATHEMATICS
AQA-7366-1-FURTHER MATHEMATICS QUESTION PAPER 1-AS LEVEL-13May24-PM.
2
Do not write
outside the
box
(02) G/Jun24/7366/1
Answer all questions in the spaces provided.
1 Express cosh2
x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh2
x 1 – sinh2
x sinh2
x – 1 –1 – s...
S
Forename(s) _________________________________________________________________________
C
Candidate signature _________________________________________________________________________
TI
I declare this is my own work.
A
AS
EM
FURTHER MATHEMATICS
Paper 1
TH
Monday 13 May 2024 Afternoon Time allowed: 1 hour 30 minutes
A
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
M
Question Mark
A‑level Mathematics and A‑level Further Mathematics.
l You should have a graphical or scientific calculator that meets the 1
requirements of the specification. 2
ER
3
Instructions
4
l Use black ink or black ball‑point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page. 5
l Answer all questions. 6
TH
l You must answer each question in the space provided for that question.
7
If you require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s). 8
l Do not write outside the box around each page or on blank pages. 9
R
l Show all necessary working; otherwise marks for method may be lost.
10
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 11
FU
12
Information 13
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 80.
15
Advice 16
l Unless stated otherwise, you may quote formulae, without proof, 17
from the booklet.
l You do not necessarily need to use all the space provided. TOTAL
G/LM/Jun24/G4001/V5 7366/1
Page 1 of 32
,000002
2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Express cosh 2 x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh 2 x 1 – sinh 2 x sinh 2 x – 1 –1 – sinh 2 x
S
C
TI
2 The function f is defined by
A
f (x) = 2 x + 3 0≤x≤5
EM
The region R is enclosed by y = f (x), x = 5, the x‑axis and the y‑axis.
The region R is rotated through 2 π radians about the x‑axis.
TH
Give an expression for the volume of the solid formed.
Tick () one box.
[1 mark]
A
5
∫
π (2 x + 3) dx
M
0
5
∫
π (2 x + 3) 2 dx
ER
0
5
2π
∫ (2x + 3) dx
TH
0
5
2π
∫ (2x + 3) dx
2
R
0
FU
(02)
G/Jun24/7366/1
Page 2 of 32
,000003
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]
–2 –1 1
2
2 2
S
C
TI
4 The line L has vector equation
[] []
4 –9
A
r = –7 + λ 1
0 3
EM
Give the equation of L in Cartesian form.
Tick () one box.
TH
[1 mark]
x+4 y–7 z
= =
–9 1 3
A
x–4 y+7 z
M
= =
–9 1 3
ER
x+9 y–1
= ,z=3
4 –7
x–9 y+1
TH
= ,z=3
4 –7
R
FU
Turn over U
(03)
G/Jun24/7366/1
Page 3 of 32
, 000004
4
Do not write
outside the
box
5 The vectors a and b are given by
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller revisionmaster111. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £12.18. You're not tied to anything after your purchase.
