Write your name here
Surname Other names
Pearson Edexcel Centre Number Candidate Number
Level 3 GCE
Mathematics
Advanced
Paper 1: Pure Mathematics 1
Sample Assessment Material for first teaching September 2017 Paper Reference
Time: 2 hours 9MA0/01
You must have: Total Marks
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for algebraic manipulation,
differentiation and integration, or have retrievable mathematical
formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• clearly
Answer all questions and ensure that your answers to parts of questions are
labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• You should show sufficient working to make your methods clear. Answers
without working may not gain full credit.
• Answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 15 questions in this question paper. The total mark for this paper is 100.
• – use this asfora guide
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
•• Check your answers if you have time at the end.
If you change your mind about an answer cross it out and put your new
answer and any working out underneath. Turn over
*S54259A0132*
S54259A
©2017 Pearson Education Ltd.
1/1/1/1/1/1/1/
Pearson Edexcel Level 3 Advanced GCE in Mathematics – Sample Assessment Materials – 5
Issue 1 – April 2017 © Pearson Education Limited 2017
, Answer ALL questions. Write your answers in the spaces provided.
1. The curve C has equation
DO NOT WRITE IN THIS AREA
y = 3x4 – 8x3 – 3
dy
(a) Find (i)
dx
d2 y
(ii)
dx 2 (3)
(b) Verify that C has a stationary point when x = 2
(2)
(c) Determine the nature of this stationary point, giving a reason for your answer.
(2)
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DO NOT WRITE IN THIS AREA
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2
*S54259A0232*
6 Pearson Edexcel Level 3 Advanced GCE in Mathematics – Sample Assessment Materials –
Issue 1 – April 2017 © Pearson Education Limited 2017
, Question 1 continued
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(Total for Question 1 is 7 marks)
3
*S54259A0332*
Pearson Edexcel Level 3 Advanced GCE in Mathematics – Sample Assessment Materials – 7
Issue 1 – April 2017 © Pearson Education Limited 2017
Turn over
, 2. C
B
3cm
DO NOT WRITE IN THIS AREA
O
0.4
A O D
12cm
Figure 1
The shape ABCDOA, as shown in Figure 1, consists of a sector COD of a circle centre O
joined to a sector AOB of a different circle, also centre O.
Given that arc length CD = 3 cm, ∠COD = 0.4 radians and AOD is a straight line of
length 12 cm,
(a) find the length of OD,
(2)
(b) find the area of the shaded sector AOB.
(3)
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DO NOT WRITE IN THIS AREA
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DO NOT WRITE IN THIS AREA
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(Total for Question 2 is 5 marks)
4
*S54259A0432*
8 Pearson Edexcel Level 3 Advanced GCE in Mathematics – Sample Assessment Materials –
Issue 1 – April 2017 © Pearson Education Limited 2017
Surname Other names
Pearson Edexcel Centre Number Candidate Number
Level 3 GCE
Mathematics
Advanced
Paper 1: Pure Mathematics 1
Sample Assessment Material for first teaching September 2017 Paper Reference
Time: 2 hours 9MA0/01
You must have: Total Marks
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for algebraic manipulation,
differentiation and integration, or have retrievable mathematical
formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• clearly
Answer all questions and ensure that your answers to parts of questions are
labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• You should show sufficient working to make your methods clear. Answers
without working may not gain full credit.
• Answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 15 questions in this question paper. The total mark for this paper is 100.
• – use this asfora guide
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
•• Check your answers if you have time at the end.
If you change your mind about an answer cross it out and put your new
answer and any working out underneath. Turn over
*S54259A0132*
S54259A
©2017 Pearson Education Ltd.
1/1/1/1/1/1/1/
Pearson Edexcel Level 3 Advanced GCE in Mathematics – Sample Assessment Materials – 5
Issue 1 – April 2017 © Pearson Education Limited 2017
, Answer ALL questions. Write your answers in the spaces provided.
1. The curve C has equation
DO NOT WRITE IN THIS AREA
y = 3x4 – 8x3 – 3
dy
(a) Find (i)
dx
d2 y
(ii)
dx 2 (3)
(b) Verify that C has a stationary point when x = 2
(2)
(c) Determine the nature of this stationary point, giving a reason for your answer.
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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DO NOT WRITE IN THIS AREA
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2
*S54259A0232*
6 Pearson Edexcel Level 3 Advanced GCE in Mathematics – Sample Assessment Materials –
Issue 1 – April 2017 © Pearson Education Limited 2017
, Question 1 continued
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DO NOT WRITE IN THIS AREA
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DO NOT WRITE IN THIS AREA
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DO NOT WRITE IN THIS AREA
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(Total for Question 1 is 7 marks)
3
*S54259A0332*
Pearson Edexcel Level 3 Advanced GCE in Mathematics – Sample Assessment Materials – 7
Issue 1 – April 2017 © Pearson Education Limited 2017
Turn over
, 2. C
B
3cm
DO NOT WRITE IN THIS AREA
O
0.4
A O D
12cm
Figure 1
The shape ABCDOA, as shown in Figure 1, consists of a sector COD of a circle centre O
joined to a sector AOB of a different circle, also centre O.
Given that arc length CD = 3 cm, ∠COD = 0.4 radians and AOD is a straight line of
length 12 cm,
(a) find the length of OD,
(2)
(b) find the area of the shaded sector AOB.
(3)
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
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DO NOT WRITE IN THIS AREA
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(Total for Question 2 is 5 marks)
4
*S54259A0432*
8 Pearson Edexcel Level 3 Advanced GCE in Mathematics – Sample Assessment Materials –
Issue 1 – April 2017 © Pearson Education Limited 2017
