AQA A-LEVEL MATHEMATICS 7357/2 PAPER 2 FINAL EXAM QUESTION PAPER (AUTHENTIC MARKING SCHEME ATTACHED).

AQA A-LEVEL MATHEMATICS 7357/2 PAPER 2 FINAL
EXAM QUESTION PAPER

(AUTHENTIC MARKING SCHEME ATTACHED).



A-level
MATHEMATICS
Paper 2


Time allowed: 2 hours
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 Question Mark
meets the requirements of the specification. 1
Instructions 2
l Use black ink or black ball-point pen. Pencil should only be used for 3
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 7
question. If you need extra space for your answer(s), use the
lined pages at the end of this book. Write the question number 8
against your answer(s). 9
l Do not write outside the box around each page or on blank pages. 10
l Show all necessary working; otherwise marks for method may be 11
lost. 12
l Do all rough work in this book. Cross through any work that you do 13
not want to be marked. 14
Information 15
l The marks for questions are shown in brackets. 16
l The maximum mark for this paper is 100. 17
18
Advice 19
l Unless stated otherwise, you may quote formulae, without
TOTAL
proof, from the booklet.
l You do not necessarily need to use all the space provided.



(JUN227357201) 7357/2
PB/Jun22/E7

, 2
Do not write
outside the
Section A box




Answer all questions in the spaces provided.




1 A circle has centre (4, 5) and radius 6

Find the equation of the circle.

Tick (3) one box.
[1 mark]
2 2
(x 4) þ (y þ 5) ¼ 6


2 2
(x þ 4) þ (y 5) ¼ 6

2 2
(x 4) þ (y þ 5) ¼ 36


2 2
(x þ 4) þ (y 5) ¼ 36




2 State the value of


lim sin (p þ h) sin p
h
h!0

Circle your answer.
[1 mark]

cos h 1 0 1




(02)
Jun22/7357/2

, 3
Do not write
outside the
3 The function f is concave and is represented by one of the graphs below. box


Identify the graph which represents f .

Tick (3) one box.
[1 mark]


y y




O x

O x




y y




O
O x




Turn over
s




(03)
Jun22/7357/2

, 4
Do not write
outside the
4 A box



6.1 cm



38°
B C
8.7 cm

The diagram shows a triangle ABC.

AB is the shortest side. The lengths of AC and BC are 6.1 cm and 8.7 cm
respectively.

The size of angle ABC is 38L

Find the size of the largest angle.

Give your answer to the nearest degree.
[3 marks]

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(04)
Jun22/7357/2