Exam
AQA AS MATHEMATICS Paper 2 QUESTION
PAPER 2023
This is the official question paper.
SPECIMEN MATERIAL
Please write clearly, in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
AS
MATHEMATICS
Paper 2
Exam Date Morning Time allowed: 1 hour 30 minutes
Materials
For this paper you must have:
• The AQA booklet of formulae and statistical tables.
• You may use a graphics calculator.
Instructions
• Use black ink or black ball-point pen. Pencil should be used for drawing.
• Answer all questions.
• You must answer each question in the space provided for that
question. If you require extra space, use an AQA supplementary
answer book; do not use the space provided for a different question.
• Do not write outside the box around each page.
• Show all necessary working; otherwise marks for method may be lost.
• Do all rough work in this book. Cross through any work that you do
not want to be marked.
Information
,• The marks for questions are shown in brackets.
• The maximum mark for this paper is 80.
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
Version 2.0
, 11
Section A
Answer all questions in the spaces provided.
1 p(x) = x3 − 5 x 2 + 3x + a , where a is a constant.
Given that x − 3 is a factor of p(x), find the value of a
Circle your answer.
[1 mark]
−9 −3 3 9
Turn over
, 2
2 The graph of y = f (x) is shown in Figure 1.
Figure 1
y
(0, 2) (2, 2)
(−2, 1) (3, 1)
x
State the equation of the graph shown in Figure 2.
Figure 2
y
(0, 2) (1, 2)
(−1, 1) (1.5, 1)
x
Circle your answer.
[1 mark]
x 1
y = f (2 x ) y=f
2 y = 2 f ( x) y= f ( x)
2
AQA AS MATHEMATICS Paper 2 QUESTION
PAPER 2023
This is the official question paper.
SPECIMEN MATERIAL
Please write clearly, in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
AS
MATHEMATICS
Paper 2
Exam Date Morning Time allowed: 1 hour 30 minutes
Materials
For this paper you must have:
• The AQA booklet of formulae and statistical tables.
• You may use a graphics calculator.
Instructions
• Use black ink or black ball-point pen. Pencil should be used for drawing.
• Answer all questions.
• You must answer each question in the space provided for that
question. If you require extra space, use an AQA supplementary
answer book; do not use the space provided for a different question.
• Do not write outside the box around each page.
• Show all necessary working; otherwise marks for method may be lost.
• Do all rough work in this book. Cross through any work that you do
not want to be marked.
Information
,• The marks for questions are shown in brackets.
• The maximum mark for this paper is 80.
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
Version 2.0
, 11
Section A
Answer all questions in the spaces provided.
1 p(x) = x3 − 5 x 2 + 3x + a , where a is a constant.
Given that x − 3 is a factor of p(x), find the value of a
Circle your answer.
[1 mark]
−9 −3 3 9
Turn over
, 2
2 The graph of y = f (x) is shown in Figure 1.
Figure 1
y
(0, 2) (2, 2)
(−2, 1) (3, 1)
x
State the equation of the graph shown in Figure 2.
Figure 2
y
(0, 2) (1, 2)
(−1, 1) (1.5, 1)
x
Circle your answer.
[1 mark]
x 1
y = f (2 x ) y=f
2 y = 2 f ( x) y= f ( x)
2
