Surname names
Number Number
Level 3 GCE
Mathematics
Advanced
Paper 1: Pure Mathematics 1
Wednesday 6 June 2018 – Morning Paper Reference
Time: 2 hours 9MA0/01
Candidates may use any calculator allowed by the regulations of the
Joint Council for Qualifications. Calculators must not have the facility
for symbolic algebra manipulation, differentiation and integration, or
have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions
• Answer
are clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers
• Answers should be given to three significant figures unless otherwise stated.
without working may not gain full credit.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 14 questions in this question paper. The total mark for this paper is 100.
The marks each question
as to howare shown
much timeintobrackets
spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Try
• your answers if you have time at the end
to answer every question.
Check
Turn over
P58348A
©2018 Pearson Education Ltd.
1/1/1/1/1/
, Answer ALL questions. Write your answers in the spaces provided.
1. Given that θ is small and is measured in radians, use the small angle approximations to find an
DO NOT WRITE IN THIS AREA
approximate value of
1 − cos 4θ
2θ sin 3θ
(3)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
(Total for Question 1 is 3 marks)
3
Turn over
, 2. A curve C has equation
y = x2 − 2x − 24 x, x>0
DO NOT WRITE IN THIS AREA
dy
(a) Find (i)
dx
d2 y
(ii)
dx2
(3)
(b) Verify that C has a stationary point when x = 4
(2)
(c) Determine the nature of this stationary point, giving a reason for your answer.
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
Number Number
Level 3 GCE
Mathematics
Advanced
Paper 1: Pure Mathematics 1
Wednesday 6 June 2018 – Morning Paper Reference
Time: 2 hours 9MA0/01
Candidates may use any calculator allowed by the regulations of the
Joint Council for Qualifications. Calculators must not have the facility
for symbolic algebra manipulation, differentiation and integration, or
have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions
• Answer
are clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers
• Answers should be given to three significant figures unless otherwise stated.
without working may not gain full credit.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 14 questions in this question paper. The total mark for this paper is 100.
The marks each question
as to howare shown
much timeintobrackets
spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Try
• your answers if you have time at the end
to answer every question.
Check
Turn over
P58348A
©2018 Pearson Education Ltd.
1/1/1/1/1/
, Answer ALL questions. Write your answers in the spaces provided.
1. Given that θ is small and is measured in radians, use the small angle approximations to find an
DO NOT WRITE IN THIS AREA
approximate value of
1 − cos 4θ
2θ sin 3θ
(3)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
(Total for Question 1 is 3 marks)
3
Turn over
, 2. A curve C has equation
y = x2 − 2x − 24 x, x>0
DO NOT WRITE IN THIS AREA
dy
(a) Find (i)
dx
d2 y
(ii)
dx2
(3)
(b) Verify that C has a stationary point when x = 4
(2)
(c) Determine the nature of this stationary point, giving a reason for your answer.
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
4
