Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Mock Paper Set 1
(Time: 2 hours) Paper Reference 9MA0/02
Mathematics
Advanced
Paper 2: Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator allowed by Pearson regulations.
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• Answer all questions and ensure that your answers to parts of questions
are clearly labelled.
• Answer the questions in the spaces provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• Inexact 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. Turn over
S63449A
©2019 Pearson Education Ltd.
1/1/1/1/
*S63449A0148*
,1. (a) Given that θ is small and in radians, show that the equation
1
DO NOT WRITE IN THIS AREA
cos θ − sin θ + 2 tan θ =
11
2
(I)
10
can be written as
5θ 2 – 15θ + 1 » 0
(3)
The solutions of the equation
5θ 2 – 15θ + 1 = 0
are 0.068 and 2.932, correct to 3 decimal places.
(b) Comment on the validity of each of these values as approximate solutions to
equation (I).
(1)
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2
*S63449A0248*
, Question 1 continued
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(Total for Question 1 is 4 marks)
3
*S63449A0348* Turn over
, 2. A curve has parametric equations
4
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x = 6t + 1 y = 5− t ≠0
3t
Show that the Cartesian equation of the curve can be expressed in the form
ax + b
y= x≠k
x −1
where a, b and k are constants to be found.
(3)
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4
*S63449A0448*
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Mock Paper Set 1
(Time: 2 hours) Paper Reference 9MA0/02
Mathematics
Advanced
Paper 2: Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator allowed by Pearson regulations.
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.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• Answer all questions and ensure that your answers to parts of questions
are clearly labelled.
• Answer the questions in the spaces provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• Inexact 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. Turn over
S63449A
©2019 Pearson Education Ltd.
1/1/1/1/
*S63449A0148*
,1. (a) Given that θ is small and in radians, show that the equation
1
DO NOT WRITE IN THIS AREA
cos θ − sin θ + 2 tan θ =
11
2
(I)
10
can be written as
5θ 2 – 15θ + 1 » 0
(3)
The solutions of the equation
5θ 2 – 15θ + 1 = 0
are 0.068 and 2.932, correct to 3 decimal places.
(b) Comment on the validity of each of these values as approximate solutions to
equation (I).
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
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2
*S63449A0248*
, Question 1 continued
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_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 4 marks)
3
*S63449A0348* Turn over
, 2. A curve has parametric equations
4
DO NOT WRITE IN THIS AREA
x = 6t + 1 y = 5− t ≠0
3t
Show that the Cartesian equation of the curve can be expressed in the form
ax + b
y= x≠k
x −1
where a, b and k are constants to be found.
(3)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
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4
*S63449A0448*
