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Examen

AQA-7356-2-MATHEMATICS QUESTION PAPER 2-AS LEVEL-23May24-PM

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AQA-7356-2-MATHEMATICS QUESTION PAPER 2-AS LEVEL-23May24-PM. Section A Answer all questions in the spaces provided. 1 Line L has equation 5y = 4x + 6 Find the gradient of a line parallel to line L Circle your answer. [1 mark] – 5 4 – 4 5 4 5 5 4 2 One of the equations below is true for all values of x Identify the correct equation. Tick () one box. [1 mark] cos2 x = –1 – sin2 x cos2 x = –1 + sin2 x cos2 x = 1 – sin2 x cos2 x = 1 + sin2 x 000002 Page 2 of 28 MATHEMATICS 3 Do not write outside the box (03) G/Jun24/7356/2 Turn over U 3 It is given that 3 loga x = loga 72 – 2 loga 3 Solve the equation to find the value of x Fully justify your answer. [4 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Turn over for the next question 000003 Page 3 of 28 MATHEMATICS 4 Do not write outside the box (04) G/Jun24/7356/2 4 Curve C has equation y = 8sin x 4 (a) Curve C is transformed onto curve C1 by a translation of vector [ 0 ] 4 Find the equation of C1 [1 mark] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 4 (b) Curve C is transformed onto curve C2 by a stretch of scale factor 4 in the y direction. Find the equation of C2 [1 mark] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 4 (c) Curve C is transformed onto curve C3 by a stretch of scale factor 2 in the x direction. Find the equation of C3 [1 mark] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________

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000001




AQA
Please write clearly in block capitals.


Centre number Candidate number


Surname _________________________________________________________________________

Forename(s) _________________________________________________________________________




S
Candidate signature _________________________________________________________________________
I declare this is my own work.




C
AS


TI
MATHEMATICS
Paper 2 A
Thursday 23 May 2024 Afternoon Time allowed: 1 hour 30 minutes
EM
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the Question Mark
requirements of the specification. 1
2
TH


3
Instructions
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 4
l Fill in the boxes at the top of this page. 5
l Answer all questions. 6
l You must answer each question in the space provided for that question. 7
l If you need extra space for your answer(s), use the lined pages at the end of 8
A




this book. Write the question number against your answer(s).
l Do not write outside the box around each page or on blank pages. 9
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 11
M




to be marked. 12
13
Information
14
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 80. 15
16
Advice 17
l Unless stated otherwise, you may quote formulae, without proof, from
the booklet. TOTAL
l You do not necessarily need to use all the space provided.




G/LM/Jun24/G4004/E8 7356/2
Page 1 of 28

,000002

2
Do not write
outside the
box
Section A

Answer all questions in the spaces provided.



1 Line L has equation

5y = 4x + 6

Find the gradient of a line parallel to line L

Circle your answer.




S
[1 mark]

–5 –4 4 5




C
4 5 5 4




TI
2 One of the equations below is true for all values of x

Identify the correct equation.
A
Tick () one box.
EM
[1 mark]

cos 2 x = –1 – sin 2 x


cos 2 x = –1 + sin 2 x
TH



cos 2 x = 1 – sin 2 x
A




cos 2 x = 1 + sin 2 x
M




(02)
G/Jun24/7356/2
Page 2 of 28

, 000003

3
Do not write
outside the
box
3 It is given that

3 log a x = log a 72 – 2 log a 3

Solve the equation to find the value of x

Fully justify your answer.
[4 marks]

_____________________________________________________________________________________

_____________________________________________________________________________________




S
_____________________________________________________________________________________

_____________________________________________________________________________________




C
_____________________________________________________________________________________




TI
_____________________________________________________________________________________

_____________________________________________________________________________________
A
_____________________________________________________________________________________

_____________________________________________________________________________________
EM
_____________________________________________________________________________________

_____________________________________________________________________________________

_____________________________________________________________________________________
TH



Turn over for the next question
A
M




Turn over U


(03)
G/Jun24/7356/2
Page 3 of 28

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Subido en
29 de octubre de 2024
Número de páginas
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Escrito en
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Tipo
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