AQA A-level MATHEMATICS Paper 3 June 2023

AQA

A-level
MATHEMATICS
Paper 3

June 2023

, 2
Do not write
outside the
Section A box


Answer all questions in the spaces provided.




1 The graph of y = f (x) is shown below.

y




O x




One of the four equations listed below is the equation of the graph y = f (x)

Identify which one is the correct equation of the graph.

Tick () one box.
[1 mark]

y = |x + 2|+


3 y = |x + 2|—


3 y = |x — 2|+


3 y = |x — 2|—


3





Jun23/7357/3

, 3
Do not write
outside the
2 The trapezium rule is used to estimate the area of the shaded region in each of the box
graphs below.
Identify the graph for which the trapezium rule produces an overestimate.

Tick () one box.
[1 mark]
y




O x

y




O x

y




O x

y




O x
Turn over


Jun23/7357/3

, 4
Do not write
outside the
3 A curve with equation y = f (x) passes through the point (3, 7) box


Given that f ’(3) = 0 find the equation of the normal to the curve at (3, 7)

Circle your answer.
[1 mark]

7
y= x y=0 x= 3 x=
3
7




4 Express
,3 ffi
5— ffix
x2
in the form

5 x p — xq

where p and q are constants.
[2 marks]





Jun23/7357/3